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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze44.0ms (0.7%)

Memory

-0.9MiB live, 73.5MiB 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)

sample818.0ms (13.6%)

Memory

23.9MiB live, 1 091.5MiB allocated

Samples

438.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 265.0ms

ival-mult: 119.0ms (44.9% of total)

ival-add: 78.0ms (29.4% of total)

ival-div: 59.0ms (22.2% of total)

ival-true: 5.0ms (1.9% of total)

ival-assert: 3.0ms (1.1% of total)

Bogosity

explain94.0ms (1.6%)

Memory

-2.5MiB live, 113.4MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (*.f64 x (+.f64 y z)) z)`	o/n	29	0
↳	`(*.f64 x (+.f64 y z))`	overflow	54
`/.f64`	`(/.f64 (*.f64 x (+.f64 y z)) z)`	u/n	6	0
↳	`(*.f64 x (+.f64 y z))`	underflow	6

Confusion

	Predicted +	Predicted -
+	35	0
-	0	221

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	35	0	0
-	0	0	221

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	221
1	35

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

65.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-div: 22.0ms (77.4% of total)

ival-add: 3.0ms (10.5% of total)

ival-mult: 3.0ms (10.5% of total)

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

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

preprocess222.0ms (3.7%)

Memory

14.2MiB live, 207.3MiB 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: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	87.0%	(/.f64 (*.f64 x (+.f64 y z)) z)

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify121.0ms (2%)

Memory

-44.8MiB live, 107.1MiB 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

localize23.0ms (0.4%)

Memory

-8.5MiB live, 30.4MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y z)
accuracy	0.00390625	(*.f64 x (+.f64 y z))
accuracy	8.32439597154292	(/.f64 (*.f64 x (+.f64 y z)) z)

Samples

18.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-div: 9.0ms (75.1% of total)

ival-mult: 2.0ms (16.7% of total)

ival-add: 1.0ms (8.3% of total)

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

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

series8.0ms (0.1%)

Memory

23.4MiB live, 23.4MiB allocated

Counts

3 → 96

Calls

Call 1

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

Inputs

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

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

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

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

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	z	@	-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	x	@	-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))

simplify167.0ms (2.8%)

Memory

-28.1MiB live, 130.5MiB 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)

rewrite166.0ms (2.8%)

Memory

24.1MiB live, 243.5MiB 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)

eval60.0ms (1%)

Memory: -4.6MiB live, 112.7MiB allocated
Compiler: Compiled 8 989 to 1 302 computations (85.5% saved)

prune138.0ms (2.3%)

Memory

28.9MiB live, 197.8MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

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

Accuracy

100.0%

Counts

467 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.0%	(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (neg.f64 x) (/.f64 (+.f64 z y) z)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 (neg.f64 x) (/.f64 (+.f64 z y) z)) (.f64 (neg.f64 x) (/.f64 (+.f64 z y) z)) (.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (/.f64 (+.f64 z y) z))))))
✓	87.0%	(/.f64 (*.f64 x (+.f64 y z)) z)
▶	41.5%	(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
▶	48.8%	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
▶	97.3%	(/.f64 x (/.f64 z (+.f64 z y)))
	86.6%	(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (+.f64 z y) x)))
▶	97.3%	(*.f64 (/.f64 (+.f64 z y) z) x)
▶	93.1%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x))

Compiler

Compiled 175 to 112 computations (36% saved)

simplify247.0ms (4.1%)

Memory

-23.5MiB live, 171.6MiB 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

localize137.0ms (2.3%)

Memory

-7.4MiB live, 115.2MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 z y)
accuracy	0.0078125	(/.f64 (+.f64 z y) z)
accuracy	1.73807526737559	(*.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	4.395612856906589	(fma.f64 (/.f64 x z) y x)
accuracy	0	(*.f64 z x)
accuracy	8.32439597154292	(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
accuracy	29.907231640583948	#s(approx (* x (+ y z)) (*.f64 z x))
accuracy	0	(*.f64 y x)
accuracy	8.32439597154292	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
accuracy	29.385128301480066	#s(approx (* x (+ y z)) (*.f64 y x))
accuracy	0	(+.f64 z y)
accuracy	0.00390625	(/.f64 z (+.f64 z y))
accuracy	1.74198151737559	(/.f64 x (/.f64 z (+.f64 z y)))

Samples

97.0ms

256×

valid

Compiler

Compiled 93 to 18 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-mult: 43.0ms (60.5% of total)

ival-div: 25.0ms (35.2% of total)

ival-add: 3.0ms (4.2% of total)

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

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

series52.0ms (0.9%)

Memory

15.9MiB live, 55.1MiB allocated

Counts

14 → 432

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
30.0ms	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	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))

simplify172.0ms (2.9%)

Memory

-32.2MiB live, 179.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 408

Calls

Call 1

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

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

rewrite218.0ms (3.6%)

Memory

16.1MiB live, 282.0MiB 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)
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(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 y z) z) (.f64 (+.f64 y z) (-.f64 y z))))
(/.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))

eval252.0ms (4.2%)

Memory: 34.7MiB live, 497.2MiB allocated
Compiler: Compiled 29 084 to 2 665 computations (90.8% saved)

prune200.0ms (3.3%)

Memory

4.9MiB live, 442.2MiB allocated

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	1 813	6	1 819
Fresh	2	0	2
Picked	3	2	5
Done	1	0	1
Total	1 819	8	1 827

Accuracy

100.0%

Counts

1 827 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.8%	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
	97.2%	(/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 y z)) (/.f64 #s(literal -1 binary64) z)))
▶	48.1%	(/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y)))
▶	48.8%	(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 y x))))
▶	48.1%	(*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x)
▶	51.8%	(*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x)
▶	97.3%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
✓	93.1%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x))

Compiler

Compiled 97 to 94 computations (3.1% saved)

simplify225.0ms (3.7%)

Memory

-27.0MiB live, 186.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (* x (+ y z)) (*.f64 y x))
cost-diff	0	(/.f64 z #s(approx (* x (+ y z)) (*.f64 y x)))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 y x))))
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`
6 122×	`lower-*.f32`
6 116×	`lower-*.f64`
1 908×	`lower-+.f64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	24	136
0	34	136
1	56	136
2	67	134
3	79	134
4	95	134
5	149	134
6	174	133
7	257	133
8	429	133
9	1437	133
10	1913	133
11	2339	133
12	2725	133
13	3861	133
14	4145	133
15	4477	133
16	6056	133
17	6638	133
18	7295	133
19	7908	133
0	8170	133

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

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

localize65.0ms (1.1%)

Memory

10.6MiB live, 99.4MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y x)
accuracy	0.37483025694452393	(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 y x))))
accuracy	8.323315588413346	(/.f64 z #s(approx (* x (+ y z)) (*.f64 y x)))
accuracy	29.385128301480066	#s(approx (* x (+ y z)) (*.f64 y x))
accuracy	0	(/.f64 z y)
accuracy	1.74198151737559	(/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y)))
accuracy	31.926654253673167	#s(approx (/ z (+ z y)) (/.f64 z y))
accuracy	0	(/.f64 y z)
accuracy	1.73807526737559	(*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x)
accuracy	31.694753588028874	#s(approx (/ (+ z y) z) (/.f64 y z))
accuracy	1.73807526737559	(*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x)
accuracy	31.033581722131526	#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	1.73807526737559	(fma.f64 (/.f64 y z) x x)

Samples

48.0ms

256×

valid

Compiler

Compiled 100 to 21 computations (79% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-div: 12.0ms (56.1% of total)

ival-mult: 6.0ms (28.1% of total)

ival-add: 3.0ms (14% of total)

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

exact: 0.0ms (0% of total)

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

series47.0ms (0.8%)

Memory

11.0MiB live, 50.0MiB allocated

Counts

14 → 432

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

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

Calls

9 calls:

Time	Variable		Point	Expression
23.0ms	y	@	0	((/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (* (/ (+ z y) z) x) (/ (+ z y) z) (* (/ (+ z y) z) x) (/ (+ z y) z) (/ x (/ z (+ z y))) (/ z (+ z y)) (/ z y) (/ 1 (/ z (* x (+ y z)))) (/ z (* x (+ y z))) (* x (+ y z)) (* y x))
4.0ms	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 (/ z (* x (+ y z)))) (/ z (* x (+ y z))) (* x (+ y z)) (* y x))
2.0ms	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 (/ z (* x (+ y z)))) (/ z (* x (+ y z))) (* x (+ y z)) (* y x))
2.0ms	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 (/ z (* x (+ y z)))) (/ z (* x (+ y z))) (* x (+ y z)) (* y x))
1.0ms	z	@	0	((/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (* (/ (+ z y) z) x) (/ (+ z y) z) (* (/ (+ z y) z) x) (/ (+ z y) z) (/ x (/ z (+ z y))) (/ z (+ z y)) (/ z y) (/ 1 (/ z (* x (+ y z)))) (/ z (* x (+ y z))) (* x (+ y z)) (* y x))

simplify215.0ms (3.6%)

Memory

-22.8MiB live, 170.8MiB allocated

Algorithm

1×	egg-herbie

Rules

9 718×	`lower-fma.f64`
9 718×	`lower-fma.f32`
3 962×	`lower-*.f64`
3 962×	`lower-*.f32`
2 018×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	263	2778
1	819	2736
2	2247	2655
3	6651	2653
0	8271	2531

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 414

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

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

rewrite185.0ms (3.1%)

Memory

20.2MiB live, 132.7MiB allocated

Rules

5 188×	`lower-*.f32`
5 182×	`lower-*.f64`
4 704×	`lower-/.f32`
4 694×	`lower-/.f64`
4 580×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	118
0	34	118
1	132	116
2	805	116
0	8293	116

Stop Event

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

Counts

14 → 299

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

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

eval129.0ms (2.1%)

Memory: -2.6MiB live, 127.9MiB allocated
Compiler: Compiled 8 684 to 1 088 computations (87.5% saved)

prune87.0ms (1.4%)

Memory

9.3MiB live, 84.1MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	776	1	777
Fresh	1	0	1
Picked	0	5	5
Done	0	2	2
Total	777	8	785

Accuracy

100.0%

Counts

785 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.8%	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
▶	48.1%	(/.f64 x #s(approx (/ z (+ z y)) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) z))))
✓	48.1%	(/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y)))
✓	48.8%	(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 y x))))
✓	48.1%	(*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x)
✓	51.8%	(*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x)
✓	97.3%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
✓	93.1%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x))

Compiler

Compiled 54 to 53 computations (1.9% saved)

simplify38.0ms (0.6%)

Memory

-31.2MiB live, 16.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal -1 binary64) y)
cost-diff	0	#s(approx (/ z (+ z y)) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) z)))
cost-diff	0	(/.f64 x #s(approx (/ z (+ z y)) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) z))))
cost-diff	1408	(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) z))

Rules

288×	`lower-fma.f64`
288×	`lower-fma.f32`
224×	`lower-*.f64`
224×	`lower-*.f32`
178×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	45
0	15	45
1	20	45
2	29	39
3	47	33
4	74	33
5	184	33
6	374	33
7	706	33
8	1068	33
9	1172	33
10	1175	33
11	1178	33
12	1179	33
0	1179	33

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize22.0ms (0.4%)

Memory

25.0MiB live, 25.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal -1 binary64) y)
accuracy	0.25	(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) z))
accuracy	1.74198151737559	(/.f64 x #s(approx (/ z (+ z y)) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) z))))
accuracy	31.926654253673167	#s(approx (/ z (+ z y)) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) z)))

Samples

16.0ms

256×

valid

Compiler

Compiled 31 to 12 computations (61.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-div: 8.0ms (86.6% of total)

ival-add: 1.0ms (10.8% of total)

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

exact: 0.0ms (0% of total)

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

series53.0ms (0.9%)

Memory

-26.4MiB live, 11.6MiB allocated

Counts

4 → 96

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
45.0ms	y	@	-inf	((/ (/ -1 y) (/ -1 z)) (/ x (/ z (+ z y))) (/ z (+ z y)) (/ -1 y))
1.0ms	x	@	inf	((/ (/ -1 y) (/ -1 z)) (/ x (/ z (+ z y))) (/ z (+ z y)) (/ -1 y))
1.0ms	z	@	-inf	((/ (/ -1 y) (/ -1 z)) (/ x (/ z (+ z y))) (/ z (+ z y)) (/ -1 y))
1.0ms	y	@	0	((/ (/ -1 y) (/ -1 z)) (/ x (/ z (+ z y))) (/ z (+ z y)) (/ -1 y))
1.0ms	y	@	inf	((/ (/ -1 y) (/ -1 z)) (/ x (/ z (+ z y))) (/ z (+ z y)) (/ -1 y))

simplify149.0ms (2.5%)

Memory

13.4MiB live, 168.2MiB allocated

Algorithm

1×	egg-herbie

Rules

14 298×	`lower-fma.f64`
14 298×	`lower-fma.f32`
3 930×	`lower-*.f64`
3 930×	`lower-*.f32`
2 414×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	132	645
1	384	624
2	993	594
3	3528	592
0	8342	564

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 93

Calls

Call 1

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

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

rewrite103.0ms (1.7%)

Memory

5.2MiB live, 160.5MiB allocated

Rules

2 842×	`lower-/.f32`
2 834×	`lower-/.f64`
2 498×	`lower-*.f64`
2 498×	`lower-*.f32`
1 662×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	38
0	15	38
1	67	32
2	407	26
3	2832	26
0	10424	26

Stop Event

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

Counts

4 → 114

Calls

Call 1

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

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

eval25.0ms (0.4%)

Memory: -6.1MiB live, 68.5MiB allocated
Compiler: Compiled 2 195 to 451 computations (79.5% saved)

prune52.0ms (0.9%)

Memory

13.6MiB live, 107.0MiB allocated

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	206	1	207
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	206	9	215

Accuracy

100.0%

Counts

215 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.8%	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
✓	48.1%	(/.f64 x #s(approx (/ z (+ z y)) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) z))))
✓	48.1%	(/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y)))
✓	48.8%	(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 y x))))
✓	48.1%	(*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x)
✓	51.8%	(*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x)
✓	97.3%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
✓	93.1%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x))
	46.9%	#s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y))

Compiler

Compiled 209 to 116 computations (44.5% saved)

regimes21.0ms (0.4%)

Memory

9.8MiB live, 49.4MiB allocated

Counts

16 → 1

Calls

Call 1

Inputs
(*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x)
#s(approx (/ x (/ z (+ z y))) (*.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)))
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (+.f64 z y) x)))
(/.f64 x #s(approx (/ z (+ z y)) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) z))))
(/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 y z)) (/.f64 #s(literal -1 binary64) z)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (neg.f64 x) (/.f64 (+.f64 z y) z)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 (neg.f64 x) (/.f64 (+.f64 z y) z)) (.f64 (neg.f64 x) (/.f64 (+.f64 z y) z)) (.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (/.f64 (+.f64 z y) z))))))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
97.3%	1	`x`
97.3%	1	`y`
97.3%	1	`z`
97.3%	1	`(/.f64 (*.f64 x (+.f64 y z)) z)`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes11.0ms (0.2%)

Memory

-7.8MiB live, 31.8MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Results

Accuracy	Segments	Branch
93.1%	1	`x`
93.1%	1	`y`
93.1%	1	`z`
93.1%	1	`(/.f64 (*.f64 x (+.f64 y z)) z)`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes11.0ms (0.2%)

Memory

-16.2MiB live, 24.5MiB allocated

Counts

5 → 3

Calls

Call 1

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
78.6%	3	`z`
60.3%	2	`x`
78.1%	3	`y`
73.0%	2	`(/.f64 (*.f64 x (+.f64 y z)) z)`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes4.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
77.0%	3	`y`
76.8%	3	`z`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes5.0ms (0.1%)

Memory

14.7MiB live, 14.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
51.8%	1	`x`
51.8%	1	`(/.f64 (*.f64 x (+.f64 y z)) z)`
51.8%	1	`z`
51.8%	1	`y`

Compiler

Compiled 10 to 15 computations (-50% saved)

bsearch23.0ms (0.4%)

Memory

-33.6MiB live, 44.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.8844363098148563e+42	2.6942244555915625e+50
9.0ms	-5.00715430123965e+42	-7.75472451103048e+40

Samples

11.0ms

256×

valid

Compiler

Compiled 170 to 236 computations (-38.8% saved)

Precisions

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

ival-div: 2.0ms (42.4% of total)

ival-mult: 2.0ms (42.4% of total)

ival-add: 1.0ms (21.2% of total)

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

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

bsearch16.0ms (0.3%)

Memory

34.6MiB live, 34.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
4.0ms	1.0893104285267788e+23	1.3713872842489531e+23
11.0ms	-1.9375083384668534e-58	-3.13391510868959e-67

Samples

8.0ms

192×

valid

Compiler

Compiled 130 to 180 computations (-38.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 1.0ms (27.8% of total)

ival-add: 1.0ms (27.8% of total)

ival-mult: 1.0ms (27.8% of total)

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

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

simplify25.0ms (0.4%)

Memory

-25.4MiB live, 54.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	117
1	42	117

Stop Event

1×

saturated

Calls

Call 1

Inputs
#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 -86000000000000004788626319778564049731584 binary64)) (.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x) (if (<=.f64 z #s(literal 32999999999999998363986560732460608262941377036288 binary64)) (/.f64 #s(approx ( x (+ y z)) (.f64 y x)) z) (.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x)))
(if (<=.f64 y #s(literal -335700942307893/1766847064778384329583297500742918515827483896875618958121606201292619776 binary64)) #s(approx (/ x (/ z (+ z y))) (.f64 (/.f64 x z) y)) (if (<=.f64 y #s(literal 115000000000000002097152 binary64)) (.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x) #s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y))))
(*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x)

Outputs
#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 -86000000000000004788626319778564049731584 binary64)) (.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x) (if (<=.f64 z #s(literal 32999999999999998363986560732460608262941377036288 binary64)) (/.f64 #s(approx ( x (+ y z)) (.f64 y x)) z) (.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x)))
(if (<=.f64 y #s(literal -335700942307893/1766847064778384329583297500742918515827483896875618958121606201292619776 binary64)) #s(approx (/ x (/ z (+ z y))) (.f64 (/.f64 x z) y)) (if (<=.f64 y #s(literal 115000000000000002097152 binary64)) (.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x) #s(approx (/ x (/ z (+ z y))) (*.f64 (/.f64 x z) y))))
(*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x)

soundness1.3s (21.4%)

Memory

-1.8MiB live, 710.7MiB allocated

Rules

14 298×	`lower-fma.f64`
14 298×	`lower-fma.f32`
9 908×	`lower-fma.f64`
9 908×	`lower-fma.f32`
5 188×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	161	2391
1	507	2370
2	1332	2340
3	4904	2338
0	8243	2145
0	50	456
1	171	456
2	482	456
3	1334	456
4	2618	456
5	3113	456
6	3468	456
7	3906	456
8	4096	456
9	4139	456
10	6034	456
11	6810	456
12	7034	456
13	7432	456
14	7444	456
15	7453	456
0	8121	426
0	6	15
0	9	15
1	40	15
2	256	15
3	2320	15
0	8156	15
0	132	645
1	384	624
2	993	594
3	3528	592
0	8342	564
0	24	118
0	34	118
1	132	116
2	805	116
0	8293	116

Stop Event

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

Compiler

Compiled 189 to 122 computations (35.4% saved)

preprocess83.0ms (1.4%)

Memory: 35.1MiB live, 114.5MiB allocated
Remove: (negabs x)
Compiler: Compiled 170 to 94 computations (44.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze44.0ms (0.7%)

sample818.0ms (13.6%)

explain94.0ms (1.6%)

preprocess222.0ms (3.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify121.0ms (2%)

localize23.0ms (0.4%)

series8.0ms (0.1%)

simplify167.0ms (2.8%)

rewrite166.0ms (2.8%)

eval60.0ms (1%)

prune138.0ms (2.3%)

simplify247.0ms (4.1%)

localize137.0ms (2.3%)

series52.0ms (0.9%)

simplify172.0ms (2.9%)

rewrite218.0ms (3.6%)

eval252.0ms (4.2%)

prune200.0ms (3.3%)

simplify225.0ms (3.7%)

localize65.0ms (1.1%)

series47.0ms (0.8%)

simplify215.0ms (3.6%)

rewrite185.0ms (3.1%)

eval129.0ms (2.1%)

prune87.0ms (1.4%)

simplify38.0ms (0.6%)

localize22.0ms (0.4%)

series53.0ms (0.9%)

simplify149.0ms (2.5%)

rewrite103.0ms (1.7%)

eval25.0ms (0.4%)

prune52.0ms (0.9%)

regimes21.0ms (0.4%)

regimes11.0ms (0.2%)

regimes11.0ms (0.2%)

regimes4.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch23.0ms (0.4%)

bsearch16.0ms (0.3%)

simplify25.0ms (0.4%)

soundness1.3s (21.4%)

preprocess83.0ms (1.4%)

end0.0ms (0%)

Profiling