Metrics for SynthBasics:oscSampleBasedAux from YampaSynth-0.2

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample592.0ms (14.6%)

Memory

33.9MiB live, 696.2MiB allocated

Samples

367.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 203.0ms

ival-add: 72.0ms (35.5% of total)

ival-mult: 63.0ms (31.1% of total)

ival-sub: 59.0ms (29.1% of total)

ival-true: 5.0ms (2.5% of total)

ival-assert: 3.0ms (1.5% of total)

Bogosity

explain64.0ms (1.6%)

Memory

-20.9MiB live, 95.7MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 x (*.f64 y (-.f64 z x)))`
-	-	`y`
-	-	`(*.f64 y (-.f64 z x))`
-	-	`(-.f64 z x)`
-	-	`z`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

22.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

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

ival-sub: 3.0ms (32.2% of total)

ival-mult: 3.0ms (32.2% of total)

ival-add: 2.0ms (21.5% of total)

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

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

preprocess89.0ms (2.2%)

Memory

29.2MiB live, 67.0MiB allocated

Algorithm

1×	egg-herbie

Rules

608×	`lower-fma.f64`
608×	`lower-fma.f32`
418×	`distribute-rgt-in`
352×	`unsub-neg`
322×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	72
1	68	63
2	208	63
3	681	63
4	1308	63
5	2067	63
6	2345	63
7	2377	63
8	2377	63
0	6	7
0	9	7
1	13	7
2	24	7
3	48	7
4	84	7
5	130	7
6	220	7
7	370	7
8	585	7
9	670	7
10	692	7
0	692	6

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 x (*.f64 y (-.f64 z x)))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify23.0ms (0.6%)

Memory

-18.2MiB live, 17.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

608×	`lower-fma.f64`
608×	`lower-fma.f32`
240×	`lower-*.f32`
238×	`lower-*.f64`
152×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	13	18
2	24	18
3	48	18
4	84	18
5	130	18
6	220	18
7	370	18
8	585	18
9	670	18
10	692	18
0	692	17

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize15.0ms (0.4%)

Memory

24.5MiB live, 24.5MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

11.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-mult: 2.0ms (45.5% of total)

ival-sub: 1.0ms (22.7% of total)

ival-add: 1.0ms (22.7% of total)

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

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

series15.0ms (0.4%)

Memory

-30.8MiB live, 11.7MiB allocated

Counts

3 → 96

Calls

Call 1

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

Inputs

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

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

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

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

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	((+ x (* y (- z x))) (* y (- z x)) (- z x))
4.0ms	x	@	0	((+ x (* y (- z x))) (* y (- z x)) (- z x))
1.0ms	y	@	inf	((+ x (* y (- z x))) (* y (- z x)) (- z x))
1.0ms	z	@	inf	((+ x (* y (- z x))) (* y (- z x)) (- z x))
1.0ms	y	@	0	((+ x (* y (- z x))) (* y (- z x)) (- z x))

simplify121.0ms (3%)

Memory

39.3MiB live, 152.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8 168×	`lower-fma.f64`
8 168×	`lower-fma.f32`
3 012×	`lower-*.f64`
3 012×	`lower-*.f32`
1 308×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	638
1	242	458
2	728	458
3	2043	458
4	4266	458
5	6068	458
6	7455	458
0	8015	431

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 92

Calls

Call 1

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

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

rewrite214.0ms (5.3%)

Memory

-11.8MiB live, 291.2MiB allocated

Rules

6 196×	`lower-*.f32`
6 194×	`lower-*.f64`
4 406×	`lower-fma.f64`
4 406×	`lower-fma.f32`
3 688×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	36	15
2	286	15
3	3817	15
0	10869	14

Stop Event

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

Counts

3 → 258

Calls

Call 1

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

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

eval53.0ms (1.3%)

Memory: 5.6MiB live, 132.2MiB allocated
Compiler: Compiled 7 509 to 968 computations (87.1% saved)

prune7.0ms (0.2%)

Memory

24.2MiB live, 24.2MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	345	5	350
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	346	5	351

Accuracy

100.0%

Counts

351 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (-.f64 z x) y x)
▶	75.8%	(+.f64 x #s(approx (* y (- z x)) (*.f64 z y)))
▶	64.4%	#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y))
▶	63.0%	#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
▶	41.0%	#s(approx (+ x (* y (- z x))) (*.f64 z y))

Compiler

Compiled 56 to 58 computations (-3.6% saved)

simplify56.0ms (1.4%)

Memory

-9.1MiB live, 29.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Rules

672×	`lower-fma.f32`
670×	`lower-fma.f64`
272×	`lower-*.f32`
266×	`lower-*.f64`
176×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	102
0	25	99
1	37	99
2	54	99
3	84	99
4	148	99
5	210	99
6	338	99
7	536	99
8	717	99
9	749	99
10	777	99
11	789	99
12	791	99
0	791	99

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize41.0ms (1%)

Memory

-20.5MiB live, 62.7MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 z y)
accuracy	0.00390625	(+.f64 x #s(approx (* y (- z x)) (*.f64 z y)))
accuracy	30.764987622794713	#s(approx (* y (- z x)) (*.f64 z y))
accuracy	0	(-.f64 z x)
accuracy	0.00390625	(*.f64 (-.f64 z x) y)
accuracy	22.7754115453514	#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y))
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0.00390625	(*.f64 (-.f64 #s(literal 1 binary64) y) x)
accuracy	23.67123963654461	#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
accuracy	0	(*.f64 z y)
accuracy	37.76373567726282	#s(approx (+ x (* y (- z x))) (*.f64 z y))
accuracy	0	(fma.f64 (-.f64 z x) y x)
accuracy	0	(-.f64 z x)

Samples

33.0ms

256×

valid

Compiler

Compiled 81 to 14 computations (82.7% saved)

Precisions

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

ival-mult: 8.0ms (59.2% of total)

ival-sub: 3.0ms (22.2% of total)

ival-add: 2.0ms (14.8% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.4%)

Memory

-5.2MiB live, 32.4MiB allocated

Counts

11 → 336

Calls

Call 1

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

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

Calls

9 calls:

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

simplify159.0ms (3.9%)

Memory

-57.5MiB live, 157.8MiB allocated

Algorithm

1×	egg-herbie

Rules

7 526×	`lower-fma.f64`
7 526×	`lower-fma.f32`
3 170×	`lower-*.f64`
3 170×	`lower-*.f32`
1 230×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	2394
1	282	1743
2	821	1743
3	2134	1743
4	4699	1743
5	7032	1743
0	8135	1608

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 327

Calls

Call 1

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

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

rewrite368.0ms (9.1%)

Memory

41.1MiB live, 154.1MiB allocated

Rules

5 970×	`lower-fma.f32`
5 968×	`lower-fma.f64`
4 360×	`lower-*.f32`
4 354×	`lower-*.f64`
3 174×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	82
0	25	79
1	97	79
2	623	79
3	7362	79
0	8067	79

Stop Event

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

Counts

11 → 405

Calls

Call 1

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

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

eval120.0ms (3%)

Memory: -17.3MiB live, 172.1MiB allocated
Compiler: Compiled 13 939 to 1 452 computations (89.6% saved)

prune31.0ms (0.8%)

Memory

8.7MiB live, 47.8MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	854	2	856
Fresh	0	0	0
Picked	0	5	5
Done	0	0	0
Total	854	7	861

Accuracy

100.0%

Counts

861 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (-.f64 z x) y x)
✓	75.8%	(+.f64 x #s(approx (* y (- z x)) (*.f64 z y)))
✓	64.4%	#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y))
✓	63.0%	#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
▶	29.1%	#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y))
▶	36.1%	#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))
✓	41.0%	#s(approx (+ x (* y (- z x))) (*.f64 z y))

Compiler

Compiled 39 to 43 computations (-10.3% saved)

simplify44.0ms (1.1%)

Memory

-27.6MiB live, 24.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

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

Rules

704×	`lower-fma.f64`
704×	`lower-fma.f32`
336×	`lower-*.f32`
332×	`lower-*.f64`
184×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	63
0	18	63
1	30	63
2	44	63
3	81	63
4	127	63
5	182	63
6	300	63
7	506	63
8	623	63
9	691	63
10	790	63
11	842	63
12	848	63
13	852	63
14	858	63
15	862	63
0	862	61

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize29.0ms (0.7%)

Memory

9.6MiB live, 44.7MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 x)
accuracy	0.00390625	(*.f64 #s(approx (- z x) (neg.f64 x)) y)
accuracy	22.7754115453514	#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y))
accuracy	29.958461865997755	#s(approx (- z x) (neg.f64 x))
accuracy	0.00390625	(*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)
accuracy	23.67123963654461	#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))
accuracy	33.21561946208728	#s(approx (- 1 y) #s(literal 1 binary64))

Samples

18.0ms

256×

valid

Compiler

Compiled 38 to 13 computations (65.8% saved)

Precisions

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

ival-mult: 5.0ms (51.3% of total)

ival-sub: 3.0ms (30.8% of total)

ival-add: 1.0ms (10.3% of total)

ival-neg: 1.0ms (10.3% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.2%)

Memory

17.5MiB live, 17.5MiB allocated

Counts

7 → 180

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (+ x (* y (- z x))) (* (- z x) y) (- z x) (neg x))
1.0ms	y	@	inf	((+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (+ x (* y (- z x))) (* (- z x) y) (- z x) (neg x))
1.0ms	y	@	-inf	((+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (+ x (* y (- z x))) (* (- z x) y) (- z x) (neg x))
1.0ms	x	@	inf	((+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (+ x (* y (- z x))) (* (- z x) y) (- z x) (neg x))
0.0ms	y	@	0	((+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (+ x (* y (- z x))) (* (- z x) y) (- z x) (neg x))

simplify163.0ms (4%)

Memory

-3.9MiB live, 119.1MiB allocated

Algorithm

1×	egg-herbie

Rules

7 526×	`lower-fma.f64`
7 526×	`lower-fma.f32`
3 170×	`lower-*.f64`
3 170×	`lower-*.f32`
1 234×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	1143
1	282	852
2	822	852
3	2135	852
4	4664	852
5	6995	852
0	8101	798

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 174

Calls

Call 1

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

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

rewrite197.0ms (4.9%)

Memory

1.4MiB live, 192.8MiB allocated

Rules

4 168×	`lower-fma.f64`
4 168×	`lower-fma.f32`
3 816×	`lower-*.f32`
3 812×	`lower-*.f64`
1 696×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	59
0	18	59
1	65	59
2	423	59
3	5073	55
0	9179	53

Stop Event

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

Counts

7 → 37

Calls

Call 1

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

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

eval22.0ms (0.6%)

Memory: 18.9MiB live, 55.2MiB allocated
Compiler: Compiled 1 466 to 171 computations (88.3% saved)

prune39.0ms (1%)

Memory

-15.3MiB live, 22.1MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	211	0	211
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	211	7	218

Accuracy

100.0%

Counts

218 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (-.f64 z x) y x)
✓	75.8%	(+.f64 x #s(approx (* y (- z x)) (*.f64 z y)))
✓	64.4%	#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y))
✓	63.0%	#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
✓	29.1%	#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y))
✓	36.1%	#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))
✓	41.0%	#s(approx (+ x (* y (- z x))) (*.f64 z y))

Compiler

Compiled 85 to 67 computations (21.2% saved)

regimes48.0ms (1.2%)

Memory

-11.7MiB live, 32.1MiB allocated

Counts

8 → 1

Calls

Call 1

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

Outputs
(fma.f64 (-.f64 z x) y x)

Calls

4 calls:

38.0ms	x
3.0ms	z
3.0ms	y
3.0ms	(+.f64 x (*.f64 y (-.f64 z x)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(+.f64 x (*.f64 y (-.f64 z x)))`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes14.0ms (0.3%)

Memory

3.0MiB live, 37.9MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
85.8%	3	`x`
99.0%	3	`y`
89.9%	3	`z`
87.6%	4	`(+.f64 x (*.f64 y (-.f64 z x)))`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes5.0ms (0.1%)

Memory

21.5MiB live, 21.5MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
80.4%	3	`z`
89.8%	3	`y`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes11.0ms (0.3%)

Memory

-7.6MiB live, 30.4MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
79.2%	3	`z`
79.6%	3	`x`
63.0%	1	`(+.f64 x (*.f64 y (-.f64 z x)))`
72.6%	5	`y`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes6.0ms (0.2%)

Memory

23.9MiB live, 23.9MiB allocated

Counts

3 → 5

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	z
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
71.9%	5	`y`
61.2%	5	`z`
57.0%	4	`x`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes3.0ms (0.1%)

Memory

-29.9MiB live, 8.5MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
66.4%	3	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes6.0ms (0.1%)

Memory

24.4MiB live, 24.4MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
41.0%	1	`x`
41.0%	1	`z`
41.0%	1	`(+.f64 x (*.f64 y (-.f64 z x)))`
41.0%	1	`y`

Compiler

Compiled 10 to 15 computations (-50% saved)

bsearch67.0ms (1.6%)

Memory

-27.8MiB live, 59.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
51.0ms	3.857443611953369e-12	8.743024629522571e-9
14.0ms	-4390013113660.4507	-6.875178013137176e-6

Samples

52.0ms

288×

valid

Compiler

Compiled 226 to 264 computations (-16.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-add: 42.0ms (90.9% of total)

ival-sub: 2.0ms (4.3% of total)

ival-mult: 2.0ms (4.3% of total)

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

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

bsearch33.0ms (0.8%)

Memory

12.3MiB live, 48.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	6.404155419927577e-55	3.842050045535282e-41
8.0ms	-2.6025888858663996e-51	-1.0737426850618305e-53

Samples

21.0ms

272×

valid

Compiler

Compiled 197 to 267 computations (-35.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-sub: 12.0ms (79.4% of total)

ival-mult: 2.0ms (13.2% of total)

ival-add: 1.0ms (6.6% of total)

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

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

bsearch20.0ms (0.5%)

Memory

22.6MiB live, 57.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	2.43256838732121e-200	2.093841909166384e-198
7.0ms	-1.3814199174007247e-126	-2.048087202607218e-127

Samples

11.0ms

208×

valid

Compiler

Compiled 140 to 194 computations (-38.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-sub: 4.0ms (62% of total)

ival-add: 1.0ms (15.5% of total)

ival-mult: 1.0ms (15.5% of total)

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

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

bsearch72.0ms (1.8%)

Memory

-49.2MiB live, 45.2MiB allocated

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.8784933746213365e+144	4.462203856205498e+148
4.0ms	6.404155419927577e-55	3.842050045535282e-41
2.0ms	-2.6025888858663996e-51	-1.0737426850618305e-53
45.0ms	-1.5418247395997982e+96	-1.9391356546406175e+91

Samples

13.0ms

336×

valid

Compiler

Compiled 333 to 488 computations (-46.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-sub: 2.0ms (33.9% of total)

ival-mult: 2.0ms (33.9% of total)

ival-add: 1.0ms (16.9% of total)

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

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

bsearch2.0ms (0%)

Memory

3.5MiB live, 3.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	6.404155419927577e-55	3.842050045535282e-41
1.0ms	-2.6025888858663996e-51	-1.0737426850618305e-53

Compiler

Compiled 163 to 250 computations (-53.4% saved)

simplify51.0ms (1.3%)

Memory

27.3MiB live, 64.8MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`-commutative-binary64-.f64`
10×	`+-commutative-binary64-+.f64`
8×	`sub-neg-binary64-neg.f64-+.f64--.f64`
4×	`neg-sub0-binary64--.f64-neg.f64`
4×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	286
1	72	286
2	78	286
3	81	286
4	82	286

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (-.f64 z x) y x)
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (+ x (* y (- z x))) (.f64 (-.f64 z x) y)) (if (<=.f64 y #s(literal 2568967366681087/302231454903657293676544 binary64)) (+.f64 x #s(approx ( y (- z x)) (.f64 z y))) #s(approx (+ x ( y (- z x))) (*.f64 (-.f64 z x) y))))
(if (<=.f64 y #s(literal -4178791733408349/26959946667150639794667015087019630673637144422540572481103610249216 binary64)) #s(approx (+ x (* y (- z x))) (.f64 (-.f64 z x) y)) (if (<=.f64 y #s(literal 8160232256002685/1569275433846670190958947355801916604025588861116008628224 binary64)) #s(approx (+ x ( y (- z x))) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #s(approx (+ x ( y (- z x))) (*.f64 (-.f64 z x) y))))
(if (<=.f64 x #s(literal -6706881651069515/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696 binary64)) #s(approx (+ x (* y (- z x))) (.f64 (-.f64 #s(literal 1 binary64) y) x)) (if (<=.f64 x #s(literal 5521038642265173/2693189581592767235707386820034625876761773979045465016063119822371190863000105380922197266574125287028215280054363247469065949312094107577921441162573762995177074519617763634274131844036773231242902144888720064512 binary64)) #s(approx (+ x ( y (- z x))) (.f64 z y)) #s(approx (+ x ( y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x))))
(if (<=.f64 y #s(literal -114999999999999999198784690215396627249834481935077628192554752491625231509434127362595749888 binary64)) #s(approx (+ x (* y (- z x))) (.f64 #s(approx (- z x) (neg.f64 x)) y)) (if (<=.f64 y #s(literal -8627182933488205/53919893334301279589334030174039261347274288845081144962207220498432 binary64)) #s(approx (+ x ( y (- z x))) (.f64 z y)) (if (<=.f64 y #s(literal 1608507319692837/392318858461667547739736838950479151006397215279002157056 binary64)) #s(approx (+ x ( y (- z x))) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) (if (<=.f64 y #s(literal 13500000000000001100376688313269101581445871315929501122389704796496617065514659777532640801249330950738972300096097906914489160688270678140387328 binary64)) #s(approx (+ x ( y (- z x))) (.f64 z y)) #s(approx (+ x ( y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y))))))
(if (<=.f64 y #s(literal -8627182933488205/53919893334301279589334030174039261347274288845081144962207220498432 binary64)) #s(approx (+ x (* y (- z x))) (.f64 z y)) (if (<=.f64 y #s(literal 1608507319692837/392318858461667547739736838950479151006397215279002157056 binary64)) #s(approx (+ x ( y (- z x))) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #s(approx (+ x ( y (- z x))) (*.f64 z y))))
#s(approx (+ x (* y (- z x))) (*.f64 z y))

Outputs
(fma.f64 (-.f64 z x) y x)
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (+ x (* y (- z x))) (.f64 (-.f64 z x) y)) (if (<=.f64 y #s(literal 2568967366681087/302231454903657293676544 binary64)) (+.f64 x #s(approx ( y (- z x)) (.f64 z y))) #s(approx (+ x ( y (- z x))) (*.f64 (-.f64 z x) y))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (+ x (* y (- z x))) (.f64 y (-.f64 z x))) (if (<=.f64 y #s(literal 2568967366681087/302231454903657293676544 binary64)) (+.f64 #s(approx ( y (- z x)) (.f64 y z)) x) #s(approx (+ x ( y (- z x))) (*.f64 y (-.f64 z x)))))
(if (<=.f64 y #s(literal -4178791733408349/26959946667150639794667015087019630673637144422540572481103610249216 binary64)) #s(approx (+ x (* y (- z x))) (.f64 (-.f64 z x) y)) (if (<=.f64 y #s(literal 8160232256002685/1569275433846670190958947355801916604025588861116008628224 binary64)) #s(approx (+ x ( y (- z x))) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #s(approx (+ x ( y (- z x))) (*.f64 (-.f64 z x) y))))
(if (<=.f64 y #s(literal -4178791733408349/26959946667150639794667015087019630673637144422540572481103610249216 binary64)) #s(approx (+ x (* y (- z x))) (.f64 y (-.f64 z x))) (if (<=.f64 y #s(literal 8160232256002685/1569275433846670190958947355801916604025588861116008628224 binary64)) #s(approx (+ x ( y (- z x))) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #s(approx (+ x ( y (- z x))) (*.f64 y (-.f64 z x)))))
(if (<=.f64 x #s(literal -6706881651069515/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696 binary64)) #s(approx (+ x (* y (- z x))) (.f64 (-.f64 #s(literal 1 binary64) y) x)) (if (<=.f64 x #s(literal 5521038642265173/2693189581592767235707386820034625876761773979045465016063119822371190863000105380922197266574125287028215280054363247469065949312094107577921441162573762995177074519617763634274131844036773231242902144888720064512 binary64)) #s(approx (+ x ( y (- z x))) (.f64 z y)) #s(approx (+ x ( y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x))))
(if (<=.f64 x #s(literal -6706881651069515/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696 binary64)) #s(approx (+ x (* y (- z x))) (.f64 (-.f64 #s(literal 1 binary64) y) x)) (if (<=.f64 x #s(literal 5521038642265173/2693189581592767235707386820034625876761773979045465016063119822371190863000105380922197266574125287028215280054363247469065949312094107577921441162573762995177074519617763634274131844036773231242902144888720064512 binary64)) #s(approx (+ x ( y (- z x))) (.f64 y z)) #s(approx (+ x ( y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x))))
(if (<=.f64 y #s(literal -114999999999999999198784690215396627249834481935077628192554752491625231509434127362595749888 binary64)) #s(approx (+ x (* y (- z x))) (.f64 #s(approx (- z x) (neg.f64 x)) y)) (if (<=.f64 y #s(literal -8627182933488205/53919893334301279589334030174039261347274288845081144962207220498432 binary64)) #s(approx (+ x ( y (- z x))) (.f64 z y)) (if (<=.f64 y #s(literal 1608507319692837/392318858461667547739736838950479151006397215279002157056 binary64)) #s(approx (+ x ( y (- z x))) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) (if (<=.f64 y #s(literal 13500000000000001100376688313269101581445871315929501122389704796496617065514659777532640801249330950738972300096097906914489160688270678140387328 binary64)) #s(approx (+ x ( y (- z x))) (.f64 z y)) #s(approx (+ x ( y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y))))))
(if (<=.f64 y #s(literal -114999999999999999198784690215396627249834481935077628192554752491625231509434127362595749888 binary64)) #s(approx (+ x (* y (- z x))) (.f64 #s(approx (- z x) (neg.f64 x)) y)) (if (<=.f64 y #s(literal -8627182933488205/53919893334301279589334030174039261347274288845081144962207220498432 binary64)) #s(approx (+ x ( y (- z x))) (.f64 y z)) (if (<=.f64 y #s(literal 1608507319692837/392318858461667547739736838950479151006397215279002157056 binary64)) #s(approx (+ x ( y (- z x))) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) (if (<=.f64 y #s(literal 13500000000000001100376688313269101581445871315929501122389704796496617065514659777532640801249330950738972300096097906914489160688270678140387328 binary64)) #s(approx (+ x ( y (- z x))) (.f64 y z)) #s(approx (+ x ( y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y))))))
(if (<=.f64 y #s(literal -8627182933488205/53919893334301279589334030174039261347274288845081144962207220498432 binary64)) #s(approx (+ x (* y (- z x))) (.f64 z y)) (if (<=.f64 y #s(literal 1608507319692837/392318858461667547739736838950479151006397215279002157056 binary64)) #s(approx (+ x ( y (- z x))) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #s(approx (+ x ( y (- z x))) (*.f64 z y))))
(if (<=.f64 y #s(literal -8627182933488205/53919893334301279589334030174039261347274288845081144962207220498432 binary64)) #s(approx (+ x (* y (- z x))) (.f64 y z)) (if (<=.f64 y #s(literal 1608507319692837/392318858461667547739736838950479151006397215279002157056 binary64)) #s(approx (+ x ( y (- z x))) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #s(approx (+ x ( y (- z x))) (*.f64 y z))))
#s(approx (+ x (* y (- z x))) (*.f64 z y))
#s(approx (+ x (* y (- z x))) (*.f64 y z))

soundness1.2s (28.6%)

Memory

0.5MiB live, 464.5MiB allocated

Rules

8 168×	`lower-fma.f64`
8 168×	`lower-fma.f32`
7 526×	`lower-fma.f64`
7 526×	`lower-fma.f32`
6 196×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	2394
1	282	1743
2	821	1743
3	2134	1743
4	4699	1743
5	7032	1743
0	8135	1608
0	6	15
0	9	15
1	36	15
2	286	15
3	3817	15
0	10869	14
0	73	638
1	242	458
2	728	458
3	2043	458
4	4266	458
5	6068	458
6	7455	458
0	8015	431

Stop Event

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

Compiler

Compiled 224 to 142 computations (36.6% saved)

preprocess65.0ms (1.6%)

Memory: 5.8MiB live, 99.2MiB allocated
Compiler: Compiled 308 to 120 computations (61% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	6	18
0	9	18
1	13	18
2	24	18
3	48	18
4	84	18
5	130	18
6	220	18
7	370	18
8	585	18
9	670	18
10	692	18
0	692	17

Iter	Nodes	Cost
0	18	102
0	25	99
1	37	99
2	54	99
3	84	99
4	148	99
5	210	99
6	338	99
7	536	99
8	717	99
9	749	99
10	777	99
11	789	99
12	791	99
0	791	99

Iter	Nodes	Cost
0	15	63
0	18	63
1	30	63
2	44	63
3	81	63
4	127	63
5	182	63
6	300	63
7	506	63
8	623	63
9	691	63
10	790	63
11	842	63
12	848	63
13	852	63
14	858	63
15	862	63
0	862	61

Iter	Nodes	Cost
0	6	18
0	9	18
1	13	18
2	24	18
3	48	18
4	84	18
5	130	18
6	220	18
7	370	18
8	585	18
9	670	18
10	692	18
0	692	17

Iter	Nodes	Cost
0	18	102
0	25	99
1	37	99
2	54	99
3	84	99
4	148	99
5	210	99
6	338	99
7	536	99
8	717	99
9	749	99
10	777	99
11	789	99
12	791	99
0	791	99

Iter	Nodes	Cost
0	15	63
0	18	63
1	30	63
2	44	63
3	81	63
4	127	63
5	182	63
6	300	63
7	506	63
8	623	63
9	691	63
10	790	63
11	842	63
12	848	63
13	852	63
14	858	63
15	862	63
0	862	61

start0.0ms (0%)

analyze0.0ms (0%)

sample592.0ms (14.6%)

explain64.0ms (1.6%)

preprocess89.0ms (2.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify23.0ms (0.6%)

localize15.0ms (0.4%)

series15.0ms (0.4%)

simplify121.0ms (3%)

rewrite214.0ms (5.3%)

eval53.0ms (1.3%)

prune7.0ms (0.2%)

simplify56.0ms (1.4%)

localize41.0ms (1%)

series16.0ms (0.4%)

simplify159.0ms (3.9%)

rewrite368.0ms (9.1%)

eval120.0ms (3%)

prune31.0ms (0.8%)

simplify44.0ms (1.1%)

localize29.0ms (0.7%)

series8.0ms (0.2%)

simplify163.0ms (4%)

rewrite197.0ms (4.9%)

eval22.0ms (0.6%)

prune39.0ms (1%)

regimes48.0ms (1.2%)

regimes14.0ms (0.3%)

regimes5.0ms (0.1%)

regimes11.0ms (0.3%)

regimes6.0ms (0.2%)

regimes3.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch67.0ms (1.6%)

bsearch33.0ms (0.8%)

bsearch20.0ms (0.5%)

bsearch72.0ms (1.8%)

bsearch2.0ms (0%)

simplify51.0ms (1.3%)

soundness1.2s (28.6%)

preprocess65.0ms (1.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	6	18
0	9	18
1	13	18
2	24	18
3	48	18
4	84	18
5	130	18
6	220	18
7	370	18
8	585	18
9	670	18
10	692	18
0	692	17

Iter	Nodes	Cost
0	18	102
0	25	99
1	37	99
2	54	99
3	84	99
4	148	99
5	210	99
6	338	99
7	536	99
8	717	99
9	749	99
10	777	99
11	789	99
12	791	99
0	791	99

Iter	Nodes	Cost
0	15	63
0	18	63
1	30	63
2	44	63
3	81	63
4	127	63
5	182	63
6	300	63
7	506	63
8	623	63
9	691	63
10	790	63
11	842	63
12	848	63
13	852	63
14	858	63
15	862	63
0	862	61