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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze49.0ms (0.9%)

Memory

-17.9MiB live, 38.2MiB 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)

sample881.0ms (15.2%)

Memory

17.9MiB live, 962.9MiB allocated

Samples

567.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 321.0ms

ival-div: 139.0ms (43.3% of total)

ival-add: 113.0ms (35.2% of total)

ival-mult: 60.0ms (18.7% of total)

ival-true: 5.0ms (1.6% of total)

ival-assert: 3.0ms (0.9% of total)

Bogosity

explain55.0ms (1%)

Memory

15.7MiB live, 93.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
43	-	1	(-1.1135192249359759e-155 2.7693892538491165e-158 4.961350135490226e-306)	`(/.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	36	0
↳	`(*.f64 x (+.f64 y z))`	overflow	58
`/.f64`	`(/.f64 (*.f64 x (+.f64 y z)) z)`	u/n	6	0
↳	`(*.f64 x (+.f64 y z))`	underflow	6

Confusion

	Predicted +	Predicted -
+	42	1
-	0	213

Precision

1.0

Recall

0.9767441860465116

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	42	0	1
-	0	0	213

Precision?

1.0

Recall?

0.9767441860465116

Freqs

test

number	freq
0	214
1	42

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

25.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

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

ival-div: 3.0ms (29.8% of total)

ival-add: 3.0ms (29.8% of total)

ival-mult: 3.0ms (29.8% of total)

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

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

preprocess189.0ms (3.3%)

Memory

7.9MiB live, 165.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune2.0ms (0%)

Memory

-37.5MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	84.3%	(/.f64 (*.f64 x (+.f64 y z)) z)

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify130.0ms (2.2%)

Memory

9.5MiB live, 133.3MiB 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

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize16.0ms (0.3%)

Memory

19.7MiB live, 19.7MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y z)
accuracy	0	(*.f64 x (+.f64 y z))
accuracy	10.036585930474699	(/.f64 (*.f64 x (+.f64 y z)) z)

Samples

11.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-div: 2.0ms (41.3% of total)

ival-mult: 2.0ms (41.3% of total)

ival-add: 1.0ms (20.6% of total)

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

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

series33.0ms (0.6%)

Memory

-27.7MiB live, 11.1MiB 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) (taylor 0 z) (#s(alt (/.f64 (.f64 x (+.f64 y z)) z) (patch (/.f64 (.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (/.f64 (.f64 x (+.f64 y z)) z) (patch (/.f64 (.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (/.f64 (.f64 x (+.f64 y z)) z) (patch (/.f64 (.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (/.f64 (.f64 x (+.f64 y z)) z) (patch (/.f64 (.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (.f64 x (+.f64 y z)) (patch (.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x z)) (taylor 0 z) (#s(alt (.f64 x (+.f64 y z)) (patch (.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x z)) (taylor 0 z) (#s(alt (.f64 x (+.f64 y z)) (patch (.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x z)) (taylor 0 z) (#s(alt (.f64 x (+.f64 y z)) (patch (.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 z) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ())
#s(alt (+ y z) (taylor 0 z) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ())
#s(alt (+ y z) (taylor 0 z) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ())
#s(alt (+ y z) (taylor 0 z) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ())
#s(alt x (taylor inf z) (#s(alt (/.f64 (.f64 x (+.f64 y z)) z) (patch (/.f64 (.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (* x y) z)) (taylor inf z) (#s(alt (/.f64 (.f64 x (+.f64 y z)) z) (patch (/.f64 (.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (* x y) z)) (taylor inf z) (#s(alt (/.f64 (.f64 x (+.f64 y z)) z) (patch (/.f64 (.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (* x y) z)) (taylor inf z) (#s(alt (/.f64 (.f64 x (+.f64 y z)) z) (patch (/.f64 (.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor inf z) (#s(alt (.f64 x (+.f64 y z)) (patch (.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (/ (* x y) z))) (taylor inf z) (#s(alt (.f64 x (+.f64 y z)) (patch (.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (/ (* x y) z))) (taylor inf z) (#s(alt (.f64 x (+.f64 y z)) (patch (.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (/ (* x y) z))) (taylor inf z) (#s(alt (.f64 x (+.f64 y z)) (patch (.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt z (taylor inf z) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (/ y z))) (taylor inf z) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (/ y z))) (taylor inf z) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (/ y z))) (taylor inf z) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf z) (#s(alt (/.f64 (.f64 x (+.f64 y z)) z) (patch (/.f64 (.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (* x y) z)) (taylor -inf z) (#s(alt (/.f64 (.f64 x (+.f64 y z)) z) (patch (/.f64 (.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (* x y) z)) (taylor -inf z) (#s(alt (/.f64 (.f64 x (+.f64 y z)) z) (patch (/.f64 (.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (* x y) z)) (taylor -inf z) (#s(alt (/.f64 (.f64 x (+.f64 y z)) z) (patch (/.f64 (.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf z) (#s(alt (.f64 x (+.f64 y z)) (patch (.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) (taylor -inf z) (#s(alt (.f64 x (+.f64 y z)) (patch (.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) (taylor -inf z) (#s(alt (.f64 x (+.f64 y z)) (patch (.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) (taylor -inf z) (#s(alt (.f64 x (+.f64 y z)) (patch (.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt z (taylor -inf z) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ y z)) 1))) (taylor -inf z) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ y z)) 1))) (taylor -inf z) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ y z)) 1))) (taylor -inf z) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (/.f64 (.f64 x (+.f64 y z)) z) (patch (/.f64 (.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (* x y) z)) (taylor 0 y) (#s(alt (/.f64 (.f64 x (+.f64 y z)) z) (patch (/.f64 (.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (* x y) z)) (taylor 0 y) (#s(alt (/.f64 (.f64 x (+.f64 y z)) z) (patch (/.f64 (.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (* x y) z)) (taylor 0 y) (#s(alt (/.f64 (.f64 x (+.f64 y z)) z) (patch (/.f64 (.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 y) (#s(alt (.f64 x (+.f64 y z)) (patch (.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x z)) (taylor 0 y) (#s(alt (.f64 x (+.f64 y z)) (patch (.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x z)) (taylor 0 y) (#s(alt (.f64 x (+.f64 y z)) (patch (.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x z)) (taylor 0 y) (#s(alt (.f64 x (+.f64 y z)) (patch (.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt z (taylor 0 y) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ())
#s(alt (+ y z) (taylor 0 y) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ())
#s(alt (+ y z) (taylor 0 y) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ())
#s(alt (+ y z) (taylor 0 y) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf y) (#s(alt (/.f64 (.f64 x (+.f64 y z)) z) (patch (/.f64 (.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (* y (+ (/ x y) (/ x z))) (taylor inf y) (#s(alt (/.f64 (.f64 x (+.f64 y z)) z) (patch (/.f64 (.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (* y (+ (/ x y) (/ x z))) (taylor inf y) (#s(alt (/.f64 (.f64 x (+.f64 y z)) z) (patch (/.f64 (.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (* y (+ (/ x y) (/ x z))) (taylor inf y) (#s(alt (/.f64 (.f64 x (+.f64 y z)) z) (patch (/.f64 (.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x (+.f64 y z)) (patch (.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (/ (* x z) y))) (taylor inf y) (#s(alt (.f64 x (+.f64 y z)) (patch (.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (/ (* x z) y))) (taylor inf y) (#s(alt (.f64 x (+.f64 y z)) (patch (.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (/ (* x z) y))) (taylor inf y) (#s(alt (.f64 x (+.f64 y z)) (patch (.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ z y))) (taylor inf y) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ z y))) (taylor inf y) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ z y))) (taylor inf y) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf y) (#s(alt (/.f64 (.f64 x (+.f64 y z)) z) (patch (/.f64 (.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) (taylor -inf y) (#s(alt (/.f64 (.f64 x (+.f64 y z)) z) (patch (/.f64 (.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) (taylor -inf y) (#s(alt (/.f64 (.f64 x (+.f64 y z)) z) (patch (/.f64 (.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) (taylor -inf y) (#s(alt (/.f64 (.f64 x (+.f64 y z)) z) (patch (/.f64 (.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x (+.f64 y z)) (patch (.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y))))) (taylor -inf y) (#s(alt (.f64 x (+.f64 y z)) (patch (.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y))))) (taylor -inf y) (#s(alt (.f64 x (+.f64 y z)) (patch (.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y))))) (taylor -inf y) (#s(alt (.f64 x (+.f64 y z)) (patch (.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ z y)) 1))) (taylor -inf y) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ z y)) 1))) (taylor -inf y) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ z y)) 1))) (taylor -inf y) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor 0 x) (#s(alt (/.f64 (.f64 x (+.f64 y z)) z) (patch (/.f64 (.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor 0 x) (#s(alt (/.f64 (.f64 x (+.f64 y z)) z) (patch (/.f64 (.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor 0 x) (#s(alt (/.f64 (.f64 x (+.f64 y z)) z) (patch (/.f64 (.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor 0 x) (#s(alt (/.f64 (.f64 x (+.f64 y z)) z) (patch (/.f64 (.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor 0 x) (#s(alt (.f64 x (+.f64 y z)) (patch (.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor 0 x) (#s(alt (.f64 x (+.f64 y z)) (patch (.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor 0 x) (#s(alt (.f64 x (+.f64 y z)) (patch (.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor 0 x) (#s(alt (.f64 x (+.f64 y z)) (patch (.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor inf x) (#s(alt (/.f64 (.f64 x (+.f64 y z)) z) (patch (/.f64 (.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor inf x) (#s(alt (/.f64 (.f64 x (+.f64 y z)) z) (patch (/.f64 (.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor inf x) (#s(alt (/.f64 (.f64 x (+.f64 y z)) z) (patch (/.f64 (.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor inf x) (#s(alt (/.f64 (.f64 x (+.f64 y z)) z) (patch (/.f64 (.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor inf x) (#s(alt (.f64 x (+.f64 y z)) (patch (.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor inf x) (#s(alt (.f64 x (+.f64 y z)) (patch (.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor inf x) (#s(alt (.f64 x (+.f64 y z)) (patch (.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor inf x) (#s(alt (.f64 x (+.f64 y z)) (patch (.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (/.f64 (.f64 x (+.f64 y z)) z) (patch (/.f64 (.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (/.f64 (.f64 x (+.f64 y z)) z) (patch (/.f64 (.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (/.f64 (.f64 x (+.f64 y z)) z) (patch (/.f64 (.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (/.f64 (.f64 x (+.f64 y z)) z) (patch (/.f64 (.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor -inf x) (#s(alt (.f64 x (+.f64 y z)) (patch (.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor -inf x) (#s(alt (.f64 x (+.f64 y z)) (patch (.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor -inf x) (#s(alt (.f64 x (+.f64 y z)) (patch (.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor -inf x) (#s(alt (.f64 x (+.f64 y z)) (patch (.f64 x (+.f64 y z)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
25.0ms	x	@	inf	((/ (* x (+ y z)) z) (* x (+ y z)) (+ y z))
1.0ms	y	@	-inf	((/ (* x (+ y z)) z) (* x (+ y z)) (+ y z))
1.0ms	z	@	-inf	((/ (* x (+ y z)) z) (* x (+ y z)) (+ y z))
1.0ms	x	@	-inf	((/ (* x (+ y z)) z) (* x (+ y z)) (+ y z))
1.0ms	z	@	inf	((/ (* x (+ y z)) z) (* x (+ y z)) (+ y z))

simplify201.0ms (3.5%)

Memory

11.1MiB live, 91.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 87

Calls

Call 1

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

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

rewrite246.0ms (4.2%)

Memory

28.7MiB live, 221.0MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

3 → 379

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 (/.f64 z x) (.f64 (+.f64 z y) (-.f64 z y))) #s(literal -1 binary64)) (pow.f64 (-.f64 z y) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (/.f64 z x) (.f64 (neg.f64 (+.f64 z y)) (-.f64 y z))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1 binary64) y z) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (/.f64 z x) (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 (-.f64 z y) z (.f64 y y))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 z x) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 z y))
(.f64 (pow.f64 (/.f64 z (.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 y z) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 z (.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 z y) z (*.f64 y y)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 z (.f64 (.f64 (+.f64 z y) x) (.f64 x (-.f64 y z)))) #s(literal -1 binary64)) (pow.f64 (*.f64 x (-.f64 y z)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 z (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 z x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 z x) (-.f64 (.f64 z x) (.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (/.f64 z x) (fma.f64 (neg.f64 z) z (.f64 y y))) #s(literal -1 binary64)) (pow.f64 (-.f64 y z) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (/.f64 z x) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 z y) z (.f64 y y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 z y)) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 z) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 z) (+.f64 z y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (+.f64 z y) z))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 (+.f64 z y) x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (+.f64 z y))) (/.f64 #s(literal -1 binary64) z))
(.f64 (pow.f64 (/.f64 z (.f64 (+.f64 z y) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z (*.f64 (+.f64 z y) x)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (+.f64 z y) z))
(*.f64 (/.f64 (+.f64 z y) #s(literal 1 binary64)) (/.f64 x z))
(*.f64 (/.f64 (+.f64 z y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) z))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 (+.f64 z y)) z))
(.f64 (.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 z y) z))
(.f64 (pow.f64 (.f64 (+.f64 z y) x) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (/.f64 x z) (+.f64 z y))
(.f64 (neg.f64 x) (.f64 (+.f64 z y) (/.f64 #s(literal -1 binary64) z)))
(*.f64 (neg.f64 x) (/.f64 (neg.f64 (+.f64 z y)) z))
(.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 (+.f64 z y) x)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) z) (.f64 (neg.f64 x) (+.f64 z y)))
(*.f64 (neg.f64 (+.f64 z y)) (/.f64 (neg.f64 x) z))
(.f64 (neg.f64 (+.f64 z y)) (.f64 x (/.f64 #s(literal -1 binary64) z)))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) (/.f64 (+.f64 z y) z)))
(*.f64 (/.f64 (+.f64 z y) z) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 z y) z) x)
(.f64 (fma.f64 (neg.f64 z) z (.f64 y y)) (*.f64 (pow.f64 (-.f64 y z) #s(literal -1 binary64)) (/.f64 x z)))
(.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 (+.f64 z y) x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (.f64 (+.f64 z y) x) #s(literal 1 binary64)))
(.f64 (pow.f64 z #s(literal -1 binary64)) (.f64 (+.f64 z y) x))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 z y) x) z))
(.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (-.f64 z y) z (*.f64 y y)) #s(literal -1 binary64)) (/.f64 x z)))
(.f64 (.f64 (neg.f64 x) (+.f64 z y)) (/.f64 #s(literal -1 binary64) z))
(.f64 (/.f64 (.f64 (+.f64 z y) x) z) #s(literal 1 binary64))
(.f64 (.f64 (+.f64 z y) x) (pow.f64 z #s(literal -1 binary64)))
(.f64 (+.f64 z y) (.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z)))
(*.f64 (+.f64 z y) (/.f64 x z))
(*.f64 x (/.f64 (+.f64 z y) z))
(pow.f64 (exp.f64 (log.f64 (/.f64 z (*.f64 (+.f64 z y) x)))) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 z (.f64 (+.f64 z y) x)) (/.f64 z (*.f64 (+.f64 z y) x))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 z (*.f64 (+.f64 z y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 z (*.f64 (+.f64 z y) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (+.f64 z y) x) z) #s(literal 1 binary64))
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(-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 (fma.f64 (-.f64 z y) z (.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (.f64 (fma.f64 (-.f64 z y) z (.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (-.f64 z y) z (*.f64 y y)))) (neg.f64 (+.f64 z y)))
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 z z (.f64 y y))) (-.f64 y z)) (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (.f64 y y))) (-.f64 y z)))
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (.f64 z z) (fma.f64 z z (.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (-.f64 y z)) (/.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (.f64 z z) (fma.f64 z z (.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (-.f64 y z)))
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (-.f64 z y) z (.f64 y y))) (/.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (-.f64 z y) z (.f64 y y))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1 binary64) y z)) (neg.f64 (+.f64 z y)))
(-.f64 (/.f64 (.f64 z z) (-.f64 z y)) (/.f64 (.f64 y y) (-.f64 z y)))
(-.f64 (.f64 y (/.f64 y (-.f64 y z))) (.f64 z (/.f64 z (-.f64 y z))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 z y) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 y (/.f64 y (-.f64 y z))) (neg.f64 (.f64 z (/.f64 z (-.f64 y z)))))
(+.f64 z y)
(+.f64 y z)

eval95.0ms (1.6%)

Memory: -17.1MiB live, 102.8MiB allocated
Compiler: Compiled 8 989 to 1 302 computations (85.5% saved)

prune11.0ms (0.2%)

Memory

-8.5MiB live, 30.7MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	461	5	466
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	462	5	467

Accuracy

100.0%

Counts

467 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	37.4%	(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
▶	49.5%	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
▶	96.5%	(/.f64 x (/.f64 z (+.f64 z y)))
▶	96.2%	(*.f64 (/.f64 (+.f64 z y) z) x)
▶	94.0%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x))

Compiler

Compiled 66 to 60 computations (9.1% saved)

simplify187.0ms (3.2%)

Memory

-5.5MiB live, 154.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize75.0ms (1.3%)

Memory

32.2MiB live, 70.9MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 z y)
accuracy	0.0078125	(/.f64 (+.f64 z y) z)
accuracy	2.4311381023459107	(*.f64 (/.f64 (+.f64 z y) z) x)
accuracy	0	(/.f64 x z)
accuracy	0	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x))
accuracy	3.866478372417401	(fma.f64 (/.f64 x z) y x)
accuracy	0	(*.f64 z x)
accuracy	10.036585930474699	(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
accuracy	31.09054740475685	#s(approx (* x (+ y z)) (*.f64 z x))
accuracy	0	(*.f64 y x)
accuracy	10.036585930474699	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
accuracy	28.63656859894532	#s(approx (* x (+ y z)) (*.f64 y x))
accuracy	0	(+.f64 z y)
accuracy	0.0078125	(/.f64 z (+.f64 z y))
accuracy	2.237247071967811	(/.f64 x (/.f64 z (+.f64 z y)))

Samples

31.0ms

256×

valid

Compiler

Compiled 93 to 18 computations (80.6% saved)

Precisions

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

ival-div: 8.0ms (42.8% of total)

ival-mult: 7.0ms (37.5% of total)

ival-add: 3.0ms (16.1% of total)

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

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

series138.0ms (2.4%)

Memory

-24.7MiB live, 58.6MiB allocated

Counts

14 → 432

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
58.0ms	z	@	inf	((/ x (/ z (+ z y))) (/ z (+ z y)) (+ z y) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (/ (* x (+ y z)) z) (+ (* (/ x z) y) x) (/ x z) (* (/ (+ z y) z) x) (/ (+ z y) z))
2.0ms	x	@	-inf	((/ x (/ z (+ z y))) (/ z (+ z y)) (+ z y) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (/ (* x (+ y z)) z) (+ (* (/ x z) y) x) (/ x z) (* (/ (+ z y) z) x) (/ (+ z y) z))
2.0ms	z	@	-inf	((/ x (/ z (+ z y))) (/ z (+ z y)) (+ z y) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (/ (* x (+ y z)) z) (+ (* (/ x z) y) x) (/ x z) (* (/ (+ z y) z) x) (/ (+ z y) z))
2.0ms	x	@	inf	((/ x (/ z (+ z y))) (/ z (+ z y)) (+ z y) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (/ (* x (+ y z)) z) (+ (* (/ x z) y) x) (/ x z) (* (/ (+ z y) z) x) (/ (+ z y) z))
2.0ms	z	@	0	((/ x (/ z (+ z y))) (/ z (+ z y)) (+ z y) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (/ (* x (+ y z)) z) (+ (* (/ x z) y) x) (/ x z) (* (/ (+ z y) z) x) (/ (+ z y) z))

simplify193.0ms (3.3%)

Memory

11.4MiB live, 165.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 408

Calls

Call 1

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

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

rewrite245.0ms (4.2%)

Memory

15.4MiB live, 249.9MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

14 → 1 286

Calls

Call 1

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

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

eval323.0ms (5.6%)

Memory: 4.1MiB live, 517.9MiB allocated
Compiler: Compiled 29 084 to 2 665 computations (90.8% saved)

prune42.0ms (0.7%)

Memory

-32.0MiB live, 144.4MiB allocated

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	1 815	4	1 819
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	1 818	6	1 824

Accuracy

100.0%

Counts

1 824 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.5%	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
▶	50.0%	(/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y)))
▶	49.7%	(*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x)
▶	48.7%	(*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x)
▶	96.2%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
✓	94.0%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x))

Compiler

Compiled 36 to 36 computations (0% saved)

simplify183.0ms (3.2%)

Memory

26.7MiB live, 220.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Rules

8 758×	`lower-fma.f32`
8 756×	`lower-fma.f64`
6 066×	`lower-*.f32`
6 062×	`lower-*.f64`
1 908×	`lower-+.f64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	20	96
0	27	96
1	47	96
2	56	96
3	64	96
4	70	96
5	126	96
6	153	95
7	254	95
8	430	95
9	1463	95
10	1939	95
11	2360	95
12	2739	95
13	3839	95
14	4123	95
15	4455	95
16	6032	95
17	6605	95
18	7260	95
19	7864	95
0	8126	95

Stop Event

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

Calls

Call 1

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

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

localize40.0ms (0.7%)

Memory

7.6MiB live, 86.4MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 z y)
accuracy	2.237247071967811	(/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y)))
accuracy	30.234197623476202	#s(approx (/ z (+ z y)) (/.f64 z y))
accuracy	0	(/.f64 y z)
accuracy	2.4311381023459107	(*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x)
accuracy	30.02006355219014	#s(approx (/ (+ z y) z) (/.f64 y z))
accuracy	2.4311381023459107	(*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x)
accuracy	33.01005722131073	#s(approx (/ (+ z y) z) #s(literal 1 binary64))
accuracy	0	(/.f64 y z)
accuracy	0	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
accuracy	2.4272318523459107	(fma.f64 (/.f64 y z) x x)

Samples

31.0ms

256×

valid

Compiler

Compiled 72 to 18 computations (75% saved)

Precisions

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

ival-div: 10.0ms (51.2% of total)

ival-mult: 6.0ms (30.7% of total)

ival-add: 3.0ms (15.4% of total)

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

exact: 0.0ms (0% of total)

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

series19.0ms (0.3%)

Memory

-6.9MiB live, 36.0MiB allocated

Counts

10 → 300

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	z	@	0	((/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (* (/ (+ z y) z) x) (/ (+ z y) z) (* (/ (+ z y) z) x) (/ (+ z y) z) (/ x (/ z (+ z y))) (/ z (+ z y)) (/ z y))
1.0ms	z	@	-inf	((/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (* (/ (+ z y) z) x) (/ (+ z y) z) (* (/ (+ z y) z) x) (/ (+ z y) z) (/ x (/ z (+ z y))) (/ z (+ z y)) (/ z y))
1.0ms	y	@	-inf	((/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (* (/ (+ z y) z) x) (/ (+ z y) z) (* (/ (+ z y) z) x) (/ (+ z y) z) (/ x (/ z (+ z y))) (/ z (+ z y)) (/ z y))
1.0ms	x	@	-inf	((/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (* (/ (+ z y) z) x) (/ (+ z y) z) (* (/ (+ z y) z) x) (/ (+ z y) z) (/ x (/ z (+ z y))) (/ z (+ z y)) (/ z y))
1.0ms	z	@	inf	((/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (* (/ (+ z y) z) x) (/ (+ z y) z) (* (/ (+ z y) z) x) (/ (+ z y) z) (/ x (/ z (+ z y))) (/ z (+ z y)) (/ z y))

simplify139.0ms (2.4%)

Memory

-3.9MiB live, 227.5MiB allocated

Algorithm

1×	egg-herbie

Rules

12 012×	`lower-fma.f64`
12 012×	`lower-fma.f32`
3 956×	`lower-*.f64`
3 956×	`lower-*.f32`
2 508×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	139	1797
1	412	1776
2	1052	1746
3	3679	1744
0	8178	1644

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 285

Calls

Call 1

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

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

rewrite209.0ms (3.6%)

Memory

-0.9MiB live, 247.5MiB allocated

Rules

4 880×	`lower-fma.f32`
4 878×	`lower-fma.f64`
4 566×	`lower-*.f32`
4 562×	`lower-*.f64`
3 728×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	82
0	27	82
1	110	82
2	725	82
0	8325	82

Stop Event

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

Counts

10 → 218

Calls

Call 1

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

Outputs
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
(.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (.f64 (/.f64 y z) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 (/.f64 y z) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (fma.f64 (/.f64 y z) x x) (pow.f64 (.f64 (/.f64 y z) x) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 (/.f64 z y) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 (/.f64 y z) x) #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 x (.f64 (/.f64 y z) x)) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 (/.f64 y z) x) #s(literal 2 binary64)) (.f64 (-.f64 x (.f64 (/.f64 y z) x)) x)))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 (/.f64 z y) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 x (.f64 (/.f64 y z) x)) x) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 y z) x) #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 x (.f64 (/.f64 y z) x)) x) (-.f64 (.f64 (-.f64 x (.f64 (/.f64 y z) x)) x) (pow.f64 (.f64 (/.f64 y z) x) #s(literal 2 binary64))) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (.f64 (/.f64 y z) x) #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)))) (fma.f64 (/.f64 y z) x x))
(.f64 (.f64 x (-.f64 x (.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) x))) (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 (/.f64 y z) x))))
(.f64 (pow.f64 (fma.f64 (/.f64 y z) x (neg.f64 x)) #s(literal -1 binary64)) (fma.f64 (neg.f64 x) x (pow.f64 (.f64 (/.f64 y z) x) #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 x (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) x (-.f64 x (.f64 (/.f64 y z) x)))) #s(literal -1 binary64)) (.f64 (+.f64 (pow.f64 (/.f64 z y) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (neg.f64 (fma.f64 (neg.f64 x) x (pow.f64 (.f64 (/.f64 y z) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (/.f64 y z) x)))
(.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (/.f64 z y) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 x (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) x (-.f64 x (.f64 (/.f64 y z) x)))))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x)
(.f64 (fma.f64 (neg.f64 x) x (pow.f64 (.f64 (/.f64 y z) x) #s(literal 2 binary64))) (pow.f64 (fma.f64 (/.f64 y z) x (neg.f64 x)) #s(literal -1 binary64)))
(.f64 (.f64 x (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) x (-.f64 x (.f64 (/.f64 y z) x)))) (/.f64 (fma.f64 (/.f64 y z) x x) (.f64 x (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) x (-.f64 x (*.f64 (/.f64 y z) x))))))
(.f64 (.f64 x (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) x (-.f64 x (.f64 (/.f64 y z) x)))) (.f64 (fma.f64 (/.f64 y z) x x) (pow.f64 (.f64 x (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) x (-.f64 x (.f64 (/.f64 y z) x)))) #s(literal -1 binary64))))
(.f64 (.f64 (+.f64 (pow.f64 (/.f64 z y) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (.f64 x (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) x (-.f64 x (.f64 (/.f64 y z) x)))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) x x))
(*.f64 (fma.f64 (/.f64 y z) x x) (/.f64 (fma.f64 (/.f64 y z) x (neg.f64 x)) (fma.f64 (/.f64 y z) x (neg.f64 x))))
(.f64 (fma.f64 (/.f64 y z) x x) (.f64 (fma.f64 (/.f64 y z) x (neg.f64 x)) (pow.f64 (fma.f64 (/.f64 y z) x (neg.f64 x)) #s(literal -1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) x x)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 1 binary64)) x) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 z y) #s(literal -3 binary64)) #s(literal 1 binary64)) x) (-.f64 (+.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 y z)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 y z) x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (/.f64 y z) x (neg.f64 x)) #s(literal -1 binary64))) (fma.f64 x x (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 y z) x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (/.f64 y z) x (neg.f64 x)) #s(literal -1 binary64))) (+.f64 (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 y z) x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 x (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) x (-.f64 x (.f64 (/.f64 y z) x)))) #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (.f64 (/.f64 y z) x) #s(literal 9 binary64))) (pow.f64 (.f64 x (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) x (-.f64 x (.f64 (/.f64 y z) x)))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 (/.f64 y z) x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 (*.f64 (/.f64 y z) x) x) #s(literal 3 binary64))))
(/.f64 (.f64 (fma.f64 (neg.f64 x) x (pow.f64 (.f64 (/.f64 y z) x) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 (/.f64 y z) x (neg.f64 x)))
(/.f64 (.f64 (.f64 (+.f64 (pow.f64 (/.f64 z y) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 x (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) x (-.f64 x (.f64 (/.f64 y z) x)))))
(/.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 1 binary64))) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(/.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 z y) #s(literal -3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 y z)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (/.f64 y z) x) #s(literal 2 binary64)) (fma.f64 (/.f64 y z) x (neg.f64 x))) (/.f64 (pow.f64 (.f64 (/.f64 y z) x) #s(literal 2 binary64)) (fma.f64 (/.f64 y z) x (neg.f64 x)))) (.f64 (.f64 x (/.f64 x (fma.f64 (/.f64 y z) x (neg.f64 x)))) (.f64 x (/.f64 x (fma.f64 (/.f64 y z) x (neg.f64 x)))))) (+.f64 (/.f64 (pow.f64 (.f64 (/.f64 y z) x) #s(literal 2 binary64)) (fma.f64 (/.f64 y z) x (neg.f64 x))) (.f64 x (/.f64 x (fma.f64 (/.f64 y z) x (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (/.f64 y z) x) #s(literal 2 binary64)) (fma.f64 (/.f64 y z) x (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (.f64 x (/.f64 x (fma.f64 (/.f64 y z) x (neg.f64 x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 y z) x) #s(literal 2 binary64)) (fma.f64 (/.f64 y z) x (neg.f64 x))) (/.f64 (pow.f64 (.f64 (/.f64 y z) x) #s(literal 2 binary64)) (fma.f64 (/.f64 y z) x (neg.f64 x))) (fma.f64 (.f64 x (/.f64 x (fma.f64 (/.f64 y z) x (neg.f64 x)))) (.f64 x (/.f64 x (fma.f64 (/.f64 y z) x (neg.f64 x)))) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 y z) x) #s(literal 2 binary64)) (fma.f64 (/.f64 y z) x (neg.f64 x))) (*.f64 x (/.f64 x (fma.f64 (/.f64 y z) x (neg.f64 x))))))))
(/.f64 (neg.f64 (.f64 x (-.f64 x (.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) x)))) (neg.f64 (-.f64 x (*.f64 (/.f64 y z) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64))))) (neg.f64 (fma.f64 (neg.f64 x) (/.f64 y z) x)))
(/.f64 (neg.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (/.f64 z y) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (.f64 x (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) x (-.f64 x (*.f64 (/.f64 y z) x)))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 y z) x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 x x (pow.f64 (.f64 (/.f64 y z) x) #s(literal 2 binary64))) (fma.f64 (/.f64 y z) x (neg.f64 x))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 y z) x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (.f64 (/.f64 y z) x) #s(literal 4 binary64))) (fma.f64 (/.f64 y z) x (neg.f64 x))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 y z) x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 (.f64 (/.f64 y z) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 x (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) x (-.f64 x (.f64 (/.f64 y z) x))))))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (.f64 (/.f64 y z) x) #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 (.f64 (/.f64 y z) x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (/.f64 y z) x) x) #s(literal 3 binary64))) (.f64 x (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) x (-.f64 x (.f64 (/.f64 y z) x))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (/.f64 y z) x) #s(literal 2 binary64)) (fma.f64 (/.f64 y z) x (neg.f64 x))) (.f64 (fma.f64 (/.f64 y z) x (neg.f64 x)) (.f64 x x))) (*.f64 (fma.f64 (/.f64 y z) x (neg.f64 x)) (fma.f64 (/.f64 y z) x (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 y z) x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (fma.f64 (/.f64 y z) x (neg.f64 x)) (fma.f64 x x (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)))))
(/.f64 (.f64 x (-.f64 x (.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) x))) (-.f64 x (*.f64 (/.f64 y z) x)))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 y z) x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (fma.f64 (/.f64 y z) x (neg.f64 x)) (+.f64 (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 y z) x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (.f64 x (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) x (-.f64 x (.f64 (/.f64 y z) x)))) (-.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (.f64 (/.f64 y z) x) #s(literal 9 binary64))) (.f64 (.f64 x (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) x (-.f64 x (.f64 (/.f64 y z) x)))) (-.f64 (+.f64 (pow.f64 (.f64 (/.f64 y z) x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 (*.f64 (/.f64 y z) x) x) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)))) (fma.f64 (neg.f64 x) (/.f64 y z) x))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (/.f64 z y) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (.f64 x (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) x (-.f64 x (*.f64 (/.f64 y z) x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) x x))))
(/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64))) (fma.f64 (/.f64 y z) x (neg.f64 x)))
(/.f64 (.f64 (+.f64 (pow.f64 (/.f64 z y) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 x (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) x (-.f64 x (*.f64 (/.f64 y z) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 (/.f64 y z) x)) (.f64 x (-.f64 x (*.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) x x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) x x)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64)))) (fma.f64 (/.f64 y z) x (neg.f64 x))))
(neg.f64 (/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (/.f64 z y) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 x (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) x (-.f64 x (*.f64 (/.f64 y z) x))))))
(neg.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 2 binary64))) (fma.f64 (neg.f64 x) (/.f64 y z) x)))
(neg.f64 (/.f64 (.f64 (+.f64 (pow.f64 (/.f64 z y) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (.f64 x (fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) x (-.f64 x (*.f64 (/.f64 y z) x)))))))
(fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 y z) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (/.f64 y z) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (fma.f64 (/.f64 y z) x x) (pow.f64 (.f64 (/.f64 y z) x) #s(literal 2 binary64))) (neg.f64 (.f64 x (/.f64 x (fma.f64 (/.f64 y z) x (neg.f64 x))))))
(fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 y z) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) x (pow.f64 (.f64 (/.f64 y z) x) #s(literal 2 binary64)))) (fma.f64 (/.f64 y z) x x) (neg.f64 (*.f64 x (/.f64 x (fma.f64 (/.f64 y z) x (neg.f64 x))))))
(fma.f64 (*.f64 x (/.f64 #s(literal -1 binary64) z)) (neg.f64 y) x)
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 y) z) x)
(fma.f64 (/.f64 x (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) z) x)
(fma.f64 (/.f64 x (pow.f64 y #s(literal -1 binary64))) (pow.f64 z #s(literal -1 binary64)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 x (neg.f64 z)) x)
(fma.f64 (/.f64 x (neg.f64 z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x)
(fma.f64 (/.f64 x (neg.f64 z)) (neg.f64 y) x)
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y z) x)
(fma.f64 (.f64 (.f64 y x) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64)) x)
(fma.f64 (/.f64 x z) y x)
(fma.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) x) (/.f64 x (fma.f64 (/.f64 y z) x (neg.f64 x))) (neg.f64 (.f64 x (/.f64 x (fma.f64 (/.f64 y z) x (neg.f64 x))))))
(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 (neg.f64 x) y) x)
(fma.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) (.f64 x (/.f64 x (fma.f64 (/.f64 y z) x (neg.f64 x)))) (neg.f64 (.f64 x (/.f64 x (fma.f64 (/.f64 y z) x (neg.f64 x))))))
(fma.f64 (*.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) z) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (/.f64 y z) x))
(fma.f64 (*.f64 y x) (pow.f64 z #s(literal -1 binary64)) x)
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 x (pow.f64 y #s(literal -1 binary64))) x)
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y x) x)
(fma.f64 (.f64 (.f64 (/.f64 y z) x) x) (/.f64 (/.f64 y z) (fma.f64 (/.f64 y z) x (neg.f64 x))) (neg.f64 (*.f64 x (/.f64 x (fma.f64 (/.f64 y z) x (neg.f64 x))))))
(fma.f64 (.f64 x x) (/.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) (fma.f64 (/.f64 y z) x (neg.f64 x))) (neg.f64 (.f64 x (/.f64 x (fma.f64 (/.f64 y z) x (neg.f64 x))))))
(fma.f64 (pow.f64 (.f64 (/.f64 y z) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 y z) x (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 (.f64 x (/.f64 x (fma.f64 (/.f64 y z) x (neg.f64 x))))))
(fma.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) z) x) x)
(fma.f64 (neg.f64 y) (/.f64 x (neg.f64 z)) x)
(fma.f64 (.f64 (/.f64 y z) x) (/.f64 (.f64 (/.f64 y z) x) (fma.f64 (/.f64 y z) x (neg.f64 x))) (neg.f64 (*.f64 x (/.f64 x (fma.f64 (/.f64 y z) x (neg.f64 x))))))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) x) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (/.f64 y z) x))
(fma.f64 (/.f64 y z) (/.f64 (.f64 (.f64 (/.f64 y z) x) x) (fma.f64 (/.f64 y z) x (neg.f64 x))) (neg.f64 (*.f64 x (/.f64 x (fma.f64 (/.f64 y z) x (neg.f64 x))))))
(fma.f64 (/.f64 y z) x x)
(fma.f64 y (/.f64 x z) x)
(fma.f64 x (/.f64 (.f64 (pow.f64 (/.f64 z y) #s(literal -2 binary64)) x) (fma.f64 (/.f64 y z) x (neg.f64 x))) (neg.f64 (.f64 x (/.f64 x (fma.f64 (/.f64 y z) x (neg.f64 x))))))
(fma.f64 x #s(literal 1 binary64) (*.f64 (/.f64 y z) x))
(fma.f64 x (/.f64 y z) x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (/.f64 y z) x))) (/.f64 (pow.f64 (.f64 (/.f64 y z) x) #s(literal 2 binary64)) (-.f64 x (.f64 (/.f64 y z) x))))
(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 y z) x) #s(literal 2 binary64)) (fma.f64 (/.f64 y z) x (neg.f64 x))) (.f64 x (/.f64 x (fma.f64 (/.f64 y z) x (neg.f64 x)))))
(+.f64 (/.f64 (pow.f64 (.f64 (/.f64 y z) x) #s(literal 2 binary64)) (fma.f64 (/.f64 y z) x (neg.f64 x))) (neg.f64 (.f64 x (/.f64 x (fma.f64 (/.f64 y z) x (neg.f64 x))))))
(+.f64 (*.f64 (/.f64 y z) x) x)
(+.f64 x (*.f64 (/.f64 y z) x))
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 y))
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(.f64 (.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) y)
(*.f64 (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (neg.f64 y) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) z) (.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) z))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) y)
(*.f64 (neg.f64 y) (/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)))
(.f64 (neg.f64 y) (.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z))
(*.f64 #s(literal 1 binary64) (/.f64 y z))
(*.f64 (/.f64 y z) #s(literal 1 binary64))
(*.f64 y (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 y (pow.f64 z #s(literal -1 binary64)))
(pow.f64 (/.f64 z y) #s(literal -1 binary64))
(pow.f64 (/.f64 y z) #s(literal 1 binary64))
(/.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (neg.f64 z))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 z))
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (neg.f64 z))
(/.f64 (/.f64 (neg.f64 y) z) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) y))
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (neg.f64 y) (*.f64 #s(literal 1 binary64) (neg.f64 z)))
(/.f64 (neg.f64 y) (neg.f64 z))
(/.f64 #s(literal 1 binary64) (/.f64 z y))
(/.f64 (/.f64 y z) #s(literal 1 binary64))
(/.f64 y z)
(neg.f64 (/.f64 (/.f64 (neg.f64 y) z) #s(literal 1 binary64)))
(neg.f64 (*.f64 (/.f64 (neg.f64 y) z) #s(literal 1 binary64)))
(neg.f64 (/.f64 (neg.f64 y) z))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (neg.f64 y) z))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) z))
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal -1 binary64)))
(*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x)
(*.f64 x #s(approx (/ (+ z y) z) #s(literal 1 binary64)))
#s(approx (/ (+ z y) z) #s(literal 1 binary64))
(*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x)
(*.f64 x #s(approx (/ (+ z y) z) (/.f64 y z)))
#s(approx (/ (+ z y) z) (/.f64 y z))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) #s(approx (/ z (+ z y)) (/.f64 z y))))
(*.f64 (pow.f64 (/.f64 #s(approx (/ z (+ z y)) (/.f64 z y)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(approx (/ z (+ z y)) (/.f64 z y)) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ z (+ z y)) (/.f64 z y))) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) #s(approx (/ z (+ z y)) (/.f64 z y))))
(*.f64 (pow.f64 #s(approx (/ z (+ z y)) (/.f64 z y)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(approx (/ z (+ z y)) (/.f64 z y)) #s(literal -1 binary64)) x)
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) #s(approx (/ z (+ z y)) (/.f64 z y))))
(*.f64 (/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y))))
(*.f64 x (pow.f64 #s(approx (/ z (+ z y)) (/.f64 z y)) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(approx (/ z (+ z y)) (/.f64 z y)) x) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 #s(approx (/ z (+ z y)) (/.f64 z y))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 #s(approx (/ z (+ z y)) (/.f64 z y))))
(/.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) #s(approx (/ z (+ z y)) (/.f64 z y)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (/ z (+ z y)) (/.f64 z y)) (neg.f64 x)))
(/.f64 (pow.f64 #s(approx (/ z (+ z y)) (/.f64 z y)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 x) (neg.f64 #s(approx (/ z (+ z y)) (/.f64 z y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ z (+ z y)) (/.f64 z y)) x))
(/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (/ z (+ z y)) (/.f64 z y)) x)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(approx (/ z (+ z y)) (/.f64 z y)))))
(neg.f64 (/.f64 (neg.f64 x) #s(approx (/ z (+ z y)) (/.f64 z y))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ z (+ z y)) (/.f64 z y)))) (/.f64 (neg.f64 x) #s(approx (/ z (+ z y)) (/.f64 z y))))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) #s(approx (/ z (+ z y)) (/.f64 z y))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (/ z (+ z y)) (/.f64 z y)) x)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ z (+ z y)) (/.f64 z y))))
(*.f64 #s(approx (/ z (+ z y)) (/.f64 z y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (/ z (+ z y)) (/.f64 z y)))
#s(approx (/ z (+ z y)) (/.f64 z y))
(/.f64 (neg.f64 #s(approx (/ z (+ z y)) (/.f64 z y))) #s(literal -1 binary64))
(/.f64 #s(approx (/ z (+ z y)) (/.f64 z y)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ z (+ z y)) (/.f64 z y)) #s(literal -1 binary64)))
(neg.f64 (neg.f64 #s(approx (/ z (+ z y)) (/.f64 z y))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ z (+ z y)) (/.f64 z y))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 z))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) z)
(.f64 (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) z)
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 z)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (/.f64 y z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y z) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 z) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) y))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) z)
(*.f64 (neg.f64 z) (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 z y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 z y))
(*.f64 z (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 z (pow.f64 y #s(literal -1 binary64)))
(pow.f64 (/.f64 z y) #s(literal 1 binary64))
(pow.f64 (/.f64 y z) #s(literal -1 binary64))
(/.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (neg.f64 y))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (neg.f64 y))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) z))
(/.f64 (/.f64 (neg.f64 z) y) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) z))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(/.f64 (neg.f64 z) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(/.f64 (neg.f64 z) (neg.f64 y))
(/.f64 (/.f64 z y) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 y z))
(/.f64 z y)
(neg.f64 (/.f64 (/.f64 (neg.f64 z) y) #s(literal 1 binary64)))
(neg.f64 (/.f64 (neg.f64 z) y))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (neg.f64 z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y))
(exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal -1 binary64)))

eval114.0ms (2%)

Memory: -11.7MiB live, 144.3MiB allocated
Compiler: Compiled 6 480 to 854 computations (86.8% saved)

prune14.0ms (0.2%)

Memory

10.3MiB live, 49.0MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	568	1	569
Fresh	0	0	0
Picked	0	4	4
Done	1	1	2
Total	569	6	575

Accuracy

100.0%

Counts

575 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.5%	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
✓	50.0%	(/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y)))
✓	49.7%	(*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x)
✓	48.7%	(*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x)
✓	96.2%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
▶	49.5%	#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 x z) y))

Compiler

Compiled 35 to 36 computations (-2.9% saved)

simplify117.0ms (2%)

Memory

-11.9MiB live, 147.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

5 052×	`lower-*.f32`
5 050×	`lower-*.f64`
4 716×	`lower-fma.f64`
4 716×	`lower-fma.f32`
1 588×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
0	11	24
1	23	24
2	32	24
3	34	24
4	40	24
5	41	24
6	43	24
7	49	24
8	54	24
9	163	24
10	557	24
11	2373	24
12	3766	24
13	3918	24
14	4003	24
15	4104	24
16	4239	24
17	4399	24
18	5917	24
19	6942	24
0	8392	23

Stop Event

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

Calls

Call 1

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

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

localize23.0ms (0.4%)

Memory

4.4MiB live, 42.0MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 x z)
accuracy	4.827867109321554	(*.f64 (/.f64 x z) y)
accuracy	29.76783833905023	#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 x z) y))

Samples

18.0ms

256×

valid

Compiler

Compiled 20 to 10 computations (50% saved)

Precisions

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

ival-div: 7.0ms (60.4% of total)

ival-mult: 3.0ms (25.9% of total)

ival-add: 1.0ms (8.6% of total)

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

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

series10.0ms (0.2%)

Memory

26.0MiB live, 26.0MiB allocated

Counts

3 → 96

Calls

Call 1

Inputs

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

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

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

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

Calls

9 calls:

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

simplify269.0ms (4.6%)

Memory

-28.0MiB live, 95.6MiB allocated

Algorithm

1×	egg-herbie

Rules

2 504×	`lower-fma.f64`
2 504×	`lower-fma.f32`
2 328×	`lower-/.f32`
2 328×	`lower-/.f64`
2 112×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	480
1	61	480
2	157	480
3	283	480
4	664	480
5	2344	480
6	3900	480
7	4984	480
8	5512	480
9	5758	480
10	5791	480
11	5803	480
12	6453	480
13	7183	480
14	7341	480
15	7413	480
16	7511	480
17	7557	480
18	7676	480
19	7738	480
20	7786	480
0	8946	450

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 93

Calls

Call 1

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

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

rewrite146.0ms (2.5%)

Memory

34.6MiB live, 224.1MiB allocated

Rules

4 362×	`lower-/.f32`
4 360×	`lower-/.f64`
3 880×	`lower-*.f32`
3 878×	`lower-*.f64`
3 760×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
0	11	21
1	49	21
2	301	21
3	2620	21
0	8188	21

Stop Event

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

Counts

3 → 89

Calls

Call 1

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

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

eval44.0ms (0.8%)

Memory: -2.2MiB live, 35.9MiB allocated
Compiler: Compiled 1 493 to 306 computations (79.5% saved)

prune33.0ms (0.6%)

Memory

-25.4MiB live, 24.1MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	182	0	182
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	182	6	188

Accuracy

100.0%

Counts

188 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.5%	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
✓	50.0%	(/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y)))
✓	49.7%	(*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x)
✓	48.7%	(*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x)
✓	96.2%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
✓	49.5%	#s(approx (/ (* x (+ y z)) z) (*.f64 (/.f64 x z) y))

Compiler

Compiled 104 to 69 computations (33.7% saved)

regimes19.0ms (0.3%)

Memory

0.8MiB live, 37.4MiB allocated

Counts

11 → 2

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	y
4.0ms	z
4.0ms	x
4.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)

Results

Accuracy	Segments	Branch
96.5%	1	`x`
96.5%	1	`y`
96.5%	1	`z`
98.8%	2	`(/.f64 (*.f64 x (+.f64 y z)) z)`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes4.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB allocated

Counts

10 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
98.5%	2	`(/.f64 (*.f64 x (+.f64 y z)) z)`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes3.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated

Counts

8 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
98.1%	2	`(/.f64 (*.f64 x (+.f64 y z)) z)`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes14.0ms (0.2%)

Memory

-9.4MiB live, 28.3MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	z
3.0ms	y
3.0ms	x
2.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)

Results

Accuracy	Segments	Branch
94.0%	1	`x`
94.0%	1	`y`
94.0%	1	`z`
94.0%	1	`(/.f64 (*.f64 x (+.f64 y z)) z)`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes12.0ms (0.2%)

Memory

-11.3MiB live, 25.9MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	x
2.0ms	z
2.0ms	y
2.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)

Results

Accuracy	Segments	Branch
59.2%	3	`x`
73.7%	3	`y`
77.6%	3	`z`
73.8%	2	`(/.f64 (*.f64 x (+.f64 y z)) z)`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes5.0ms (0.1%)

Memory

16.4MiB live, 16.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
48.7%	1	`x`
48.7%	1	`y`
48.7%	1	`(/.f64 (*.f64 x (+.f64 y z)) z)`
48.7%	1	`z`

Compiler

Compiled 10 to 15 computations (-50% saved)

bsearch0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0885038475672486e-108	-9.93083358625884e-138

Compiler

Compiled 10 to 12 computations (-20% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.0818679552518005e-169	0.0

Compiler

Compiled 10 to 12 computations (-20% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.0818679552518005e-169	0.0

Compiler

Compiled 10 to 12 computations (-20% saved)

bsearch27.0ms (0.5%)

Memory

-1.9MiB live, 43.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	2.5171409895533083e+67	7.579864423896662e+70
15.0ms	-4.291447205860478e+26	-1.210889463103515e+21

Samples

15.0ms

272×

valid

Compiler

Compiled 180 to 250 computations (-38.9% saved)

Precisions

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

ival-div: 2.0ms (38.3% of total)

ival-mult: 2.0ms (38.3% of total)

ival-add: 1.0ms (19.2% of total)

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

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

simplify28.0ms (0.5%)

Memory

-11.2MiB live, 65.2MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`-commutative-binary64-.f64`
2×	`1-exp-binary32-exp.f32`
2×	`1-exp-binary64-exp.f64`
2×	`+-commutative-binary64-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	152
1	49	152

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (.f64 x (+.f64 y z)) z) #s(literal -5288447750321989/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048 binary64)) (/.f64 (.f64 x (+.f64 y z)) z) (/.f64 x (/.f64 z (+.f64 z y))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 y z)) z) #s(literal -6798566308054619/33992831540273094316133645219357992149093959534530043084764424844825827831094543535306400144974674282808917087119776064982181077609773263322209278641061590524405201333465166018030600192 binary64)) (/.f64 (.f64 x (+.f64 y z)) z) #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)))
(if (<=.f64 (/.f64 (.f64 x (+.f64 y z)) z) #s(literal -6798566308054619/33992831540273094316133645219357992149093959534530043084764424844825827831094543535306400144974674282808917087119776064982181077609773263322209278641061590524405201333465166018030600192 binary64)) (/.f64 #s(approx ( x (+ y z)) (.f64 y x)) z) #s(approx (/ ( x (+ y z)) z) (fma.f64 (/.f64 y z) x x)))
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x))
(if (<=.f64 z #s(literal -30999999999999997869293568 binary64)) (.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x) (if (<=.f64 z #s(literal 35000000000000000239856962054689941878022563612164493015028672166363136 binary64)) #s(approx (/ ( x (+ y z)) z) (.f64 (/.f64 x z) y)) (.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x)))
(*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x)

Outputs
(if (<=.f64 (/.f64 (.f64 x (+.f64 y z)) z) #s(literal -5288447750321989/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048 binary64)) (/.f64 (.f64 x (+.f64 y z)) z) (/.f64 x (/.f64 z (+.f64 z y))))
(if (<=.f64 (/.f64 (.f64 (+.f64 z y) x) z) #s(literal -5288447750321989/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048 binary64)) (/.f64 (.f64 (+.f64 z y) x) z) (/.f64 x (/.f64 z (+.f64 z y))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 y z)) z) #s(literal -6798566308054619/33992831540273094316133645219357992149093959534530043084764424844825827831094543535306400144974674282808917087119776064982181077609773263322209278641061590524405201333465166018030600192 binary64)) (/.f64 (.f64 x (+.f64 y z)) z) #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)))
(if (<=.f64 (/.f64 (.f64 (+.f64 z y) x) z) #s(literal -6798566308054619/33992831540273094316133645219357992149093959534530043084764424844825827831094543535306400144974674282808917087119776064982181077609773263322209278641061590524405201333465166018030600192 binary64)) (/.f64 (.f64 (+.f64 z y) x) z) #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)))
(if (<=.f64 (/.f64 (.f64 x (+.f64 y z)) z) #s(literal -6798566308054619/33992831540273094316133645219357992149093959534530043084764424844825827831094543535306400144974674282808917087119776064982181077609773263322209278641061590524405201333465166018030600192 binary64)) (/.f64 #s(approx ( x (+ y z)) (.f64 y x)) z) #s(approx (/ ( x (+ y z)) z) (fma.f64 (/.f64 y z) x x)))
(if (<=.f64 (/.f64 (.f64 (+.f64 z y) x) z) #s(literal -6798566308054619/33992831540273094316133645219357992149093959534530043084764424844825827831094543535306400144974674282808917087119776064982181077609773263322209278641061590524405201333465166018030600192 binary64)) (/.f64 #s(approx ( x (+ y z)) (.f64 y x)) z) #s(approx (/ ( x (+ y z)) z) (fma.f64 (/.f64 y z) x x)))
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x))
(if (<=.f64 z #s(literal -30999999999999997869293568 binary64)) (.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x) (if (<=.f64 z #s(literal 35000000000000000239856962054689941878022563612164493015028672166363136 binary64)) #s(approx (/ ( x (+ y z)) z) (.f64 (/.f64 x z) y)) (.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x)))
(*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x)

soundness1.1s (18.7%)

Memory

11.9MiB live, 622.8MiB allocated

Rules

12 012×	`lower-fma.f64`
12 012×	`lower-fma.f32`
9 908×	`lower-fma.f64`
9 908×	`lower-fma.f32`
4 302×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	139	1797
1	412	1776
2	1052	1746
3	3679	1744
0	8178	1644
0	161	2391
1	507	2370
2	1332	2340
3	4904	2338
0	8243	2145
0	50	456
1	171	456
2	482	456
3	1334	456
4	2618	456
5	3113	456
6	3468	456
7	3906	456
8	4096	456
9	4139	456
10	6034	456
11	6810	456
12	7034	456
13	7432	456
14	7444	456
15	7453	456
0	8121	426
0	6	15
0	9	15
1	40	15
2	256	15
3	2320	15
0	8156	15

Stop Event

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

Compiler

Compiled 204 to 117 computations (42.6% saved)

preprocess130.0ms (2.2%)

Memory: -18.6MiB live, 261.2MiB allocated
Compiler: Compiled 284 to 116 computations (59.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze49.0ms (0.9%)

sample881.0ms (15.2%)

explain55.0ms (1%)

preprocess189.0ms (3.3%)

eval0.0ms (0%)

prune2.0ms (0%)

simplify130.0ms (2.2%)

localize16.0ms (0.3%)

series33.0ms (0.6%)

simplify201.0ms (3.5%)

rewrite246.0ms (4.2%)

eval95.0ms (1.6%)

prune11.0ms (0.2%)

simplify187.0ms (3.2%)

localize75.0ms (1.3%)

series138.0ms (2.4%)

simplify193.0ms (3.3%)

rewrite245.0ms (4.2%)

eval323.0ms (5.6%)

prune42.0ms (0.7%)

simplify183.0ms (3.2%)

localize40.0ms (0.7%)

series19.0ms (0.3%)

simplify139.0ms (2.4%)

rewrite209.0ms (3.6%)

eval114.0ms (2%)

prune14.0ms (0.2%)

simplify117.0ms (2%)

localize23.0ms (0.4%)

series10.0ms (0.2%)

simplify269.0ms (4.6%)

rewrite146.0ms (2.5%)

eval44.0ms (0.8%)

prune33.0ms (0.6%)

regimes19.0ms (0.3%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes14.0ms (0.2%)

regimes12.0ms (0.2%)

regimes5.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch27.0ms (0.5%)

simplify28.0ms (0.5%)

soundness1.1s (18.7%)

preprocess130.0ms (2.2%)

end0.0ms (0%)

Profiling