Metrics for SynthBasics:oscSampleBasedAux from YampaSynth-0.2

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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)

sample605.0ms (13.9%)

Memory

38.4MiB live, 820.9MiB allocated

Samples

391.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 169.0ms

ival-add: 56.0ms (33.2% of total)

ival-mult: 56.0ms (33.2% of total)

ival-sub: 49.0ms (29.1% of total)

ival-true: 6.0ms (3.6% of total)

ival-assert: 3.0ms (1.8% of total)

Bogosity

explain75.0ms (1.7%)

Memory

-10.8MiB live, 110.4MiB 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

31.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

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

ival-add: 6.0ms (48.2% of total)

ival-sub: 3.0ms (24.1% of total)

ival-mult: 3.0ms (24.1% of total)

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

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

preprocess73.0ms (1.7%)

Memory

13.8MiB live, 51.9MiB 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)

prune4.0ms (0.1%)

Memory

-36.1MiB live, 1.2MiB 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)

simplify21.0ms (0.5%)

Memory

28.1MiB live, 28.1MiB 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

localize23.0ms (0.5%)

Memory

-16.0MiB live, 21.2MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 z x)
accuracy	0.01171875	(+.f64 x (*.f64 y (-.f64 z x)))
accuracy	0.015625	(*.f64 y (-.f64 z x))

Samples

18.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-sub: 8.0ms (75.1% of total)

ival-mult: 2.0ms (18.8% of total)

ival-add: 1.0ms (9.4% of total)

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

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

series7.0ms (0.2%)

Memory

8.8MiB live, 8.8MiB 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
1.0ms	x	@	-inf	((+ x (* y (- z x))) (* y (- z x)) (- z x))
1.0ms	y	@	inf	((+ x (* y (- z x))) (* y (- z x)) (- z x))
1.0ms	y	@	0	((+ x (* y (- z x))) (* y (- z x)) (- z x))
1.0ms	z	@	inf	((+ x (* y (- z x))) (* y (- z x)) (- z x))
1.0ms	z	@	-inf	((+ x (* y (- z x))) (* y (- z x)) (- z x))

simplify148.0ms (3.4%)

Memory

-1.7MiB live, 149.5MiB 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)

rewrite262.0ms (6%)

Memory

11.9MiB live, 254.7MiB 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 (hypot.f64 (.f64 (-.f64 z x) y) x) #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)) (hypot.f64 (*.f64 (-.f64 z x) y) x) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 (hypot.f64 (.f64 (-.f64 z x) y) x) (.f64 (.f64 (-.f64 z x) y) 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 (-.f64 (hypot.f64 (.f64 (-.f64 z x) y) x) (.f64 (.f64 (-.f64 z x) y) x)) (hypot.f64 (pow.f64 x #s(literal 9/2 binary64)) (pow.f64 (.f64 (-.f64 z x) y) #s(literal 9/2 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 z x) y) #s(literal 3 binary64))) (pow.f64 (.f64 (.f64 (-.f64 z x) y) x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (hypot.f64 (pow.f64 (.f64 (-.f64 z x) y) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 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 (hypot.f64 (pow.f64 (.f64 (-.f64 z x) y) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 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 (-.f64 (hypot.f64 (.f64 (-.f64 z x) y) x) (.f64 (.f64 (-.f64 z x) y) x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (hypot.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (-.f64 (hypot.f64 (.f64 (-.f64 z x) y) x) (.f64 (.f64 (-.f64 z x) y) x)) #s(literal -1 binary64)) (hypot.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 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 (-.f64 (hypot.f64 (.f64 (-.f64 z x) y) x) (.f64 (*.f64 (-.f64 z x) y) 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 (-.f64 (hypot.f64 (.f64 (-.f64 z x) y) x) (.f64 (.f64 (-.f64 z x) y) x)) (/.f64 (fma.f64 (-.f64 z x) y x) (-.f64 (hypot.f64 (.f64 (-.f64 z x) y) x) (.f64 (*.f64 (-.f64 z x) y) x))))
(.f64 (-.f64 (hypot.f64 (.f64 (-.f64 z x) y) x) (.f64 (.f64 (-.f64 z x) y) x)) (.f64 (fma.f64 (-.f64 z x) y x) (pow.f64 (-.f64 (hypot.f64 (.f64 (-.f64 z x) y) x) (.f64 (.f64 (-.f64 z x) y) x)) #s(literal -1 binary64))))
(.f64 (hypot.f64 (pow.f64 (.f64 (-.f64 z x) y) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 (-.f64 (hypot.f64 (.f64 (-.f64 z x) y) x) (.f64 (*.f64 (-.f64 z x) y) 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 (.f64 (neg.f64 x) x) (neg.f64 (-.f64 x (.f64 (-.f64 z x) y)))) (.f64 (neg.f64 (-.f64 x (.f64 (-.f64 z x) y))) (neg.f64 (pow.f64 (.f64 (-.f64 z x) y) #s(literal 2 binary64))))) (.f64 (neg.f64 (-.f64 x (.f64 (-.f64 z x) y))) (neg.f64 (-.f64 x (*.f64 (-.f64 z x) y)))))
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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 z x (hypot.f64 z x)) #s(literal -3 binary64))) (.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 z x (hypot.f64 z x)) #s(literal -3 binary64)))) (+.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z x (hypot.f64 z x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z x (hypot.f64 z x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z x (hypot.f64 z x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z x (hypot.f64 z x)))))))
(/.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 z x (hypot.f64 z x)))))
(/.f64 (.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (hypot.f64 z 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) (hypot.f64 z 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 z x (hypot.f64 z x))))
(/.f64 (.f64 (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (hypot.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (*.f64 z x) #s(literal 3/2 binary64))) (fma.f64 z x (hypot.f64 z x))))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 z x (hypot.f64 z x)))
(/.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 z x (hypot.f64 z x))) (.f64 (fma.f64 z x (hypot.f64 z x)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 z x (hypot.f64 z x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 z x) (hypot.f64 z 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 z x (hypot.f64 z x)) (hypot.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (.f64 z x) #s(literal 3/2 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) (hypot.f64 z 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 z x (hypot.f64 z x)) (-.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 z x (hypot.f64 z x))))
(/.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 z x (hypot.f64 z x)))
(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 z x (hypot.f64 z x)))))
(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 z x (hypot.f64 z x)))))
(fma.f64 (/.f64 (.f64 z z) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (hypot.f64 z x) (.f64 z x)) (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 z x (hypot.f64 z x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z x (hypot.f64 z x)))))
(fma.f64 #s(literal -1 binary64) x z)
(fma.f64 (*.f64 z z) (/.f64 z (fma.f64 z x (hypot.f64 z x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z x (hypot.f64 z x)))))
(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 z x (hypot.f64 z x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z x (hypot.f64 z x)))))
(fma.f64 z (/.f64 (*.f64 z z) (fma.f64 z x (hypot.f64 z x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z x (hypot.f64 z x)))))
(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 z x (hypot.f64 z x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z x (hypot.f64 z x))))
(-.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 z x (hypot.f64 z x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z x (hypot.f64 z x)))))
(+.f64 (neg.f64 x) z)
(+.f64 z (neg.f64 x))

eval41.0ms (0.9%)

Memory: 11.5MiB live, 85.9MiB allocated
Compiler: Compiled 7 237 to 972 computations (86.6% saved)

prune13.0ms (0.3%)

Memory

-19.0MiB live, 29.6MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	343	7	350
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	344	7	351

Accuracy

100.0%

Counts

351 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (-.f64 z x) y x)
	98.8%	(fma.f64 z y (fma.f64 (neg.f64 x) y x))
	96.5%	(+.f64 (*.f64 z y) (fma.f64 (neg.f64 x) y x))
▶	76.8%	(+.f64 x #s(approx (* y (- z x)) (*.f64 z y)))
▶	59.4%	#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y))
▶	65.5%	#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
▶	37.5%	#s(approx (+ x (* y (- z x))) (*.f64 z y))

Compiler

Compiled 90 to 84 computations (6.7% saved)

simplify216.0ms (5%)

Memory

-2.1MiB live, 35.6MiB 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

localize57.0ms (1.3%)

Memory

-9.7MiB live, 66.5MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 z y)
accuracy	0.01171875	(+.f64 x #s(approx (* y (- z x)) (*.f64 z y)))
accuracy	32.54935937633593	#s(approx (* y (- z x)) (*.f64 z y))
accuracy	0	(-.f64 z x)
accuracy	0.015625	(*.f64 (-.f64 z x) y)
accuracy	25.979655362624094	#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y))
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0.0078125	(*.f64 (-.f64 #s(literal 1 binary64) y) x)
accuracy	22.044397649183832	#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
accuracy	0	(*.f64 z y)
accuracy	40.006838855512214	#s(approx (+ x (* y (- z x))) (*.f64 z y))
accuracy	0	(-.f64 z x)
accuracy	0.0078125	(fma.f64 (-.f64 z x) y x)

Samples

30.0ms

256×

valid

Compiler

Compiled 81 to 14 computations (82.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 13.0ms (72.3% of total)

ival-sub: 3.0ms (16.7% of total)

ival-add: 2.0ms (11.1% of total)

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

exact: 0.0ms (0% of total)

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

series14.0ms (0.3%)

Memory

27.6MiB live, 27.6MiB 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>) () ())) ())
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#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	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	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	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)))

simplify138.0ms (3.2%)

Memory

-5.1MiB live, 143.5MiB 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)

rewrite265.0ms (6.1%)

Memory

21.1MiB live, 296.4MiB 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 (hypot.f64 (pow.f64 (.f64 y (-.f64 z x)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 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)))))
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(neg.f64 (/.f64 (neg.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 #s(approx (* y (- z x)) (.f64 y z)) #s(literal 3/2 binary64)))) (-.f64 (hypot.f64 #s(approx ( y (- z x)) (.f64 y z)) x) (.f64 #s(approx (* y (- z x)) (*.f64 y z)) 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 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 #s(approx (* y (- z x)) (.f64 y z)) #s(literal 3/2 binary64))) (neg.f64 (-.f64 (hypot.f64 #s(approx ( y (- z x)) (.f64 y z)) x) (.f64 #s(approx (* y (- z x)) (*.f64 y z)) 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)))) (+.f64 (hypot.f64 #s(approx ( y (- z x)) (.f64 y z)) x) (.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 (.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))

eval155.0ms (3.6%)

Memory: -4.3MiB live, 301.8MiB allocated
Compiler: Compiled 13 558 to 1 455 computations (89.3% saved)

prune159.0ms (3.7%)

Memory

-2.3MiB live, 82.7MiB allocated

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	852	4	856
Fresh	2	0	2
Picked	1	4	5
Done	0	0	0
Total	855	8	863

Accuracy

100.0%

Counts

863 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (-.f64 z x) y x)
▶	65.6%	(fma.f64 #s(approx (- z x) (neg.f64 x)) y x)
✓	76.8%	(+.f64 x #s(approx (* y (- z x)) (*.f64 z y)))
▶	57.1%	#s(approx (+ x (* y (- z x))) (fma.f64 (neg.f64 y) x (*.f64 y z)))
✓	59.4%	#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y))
▶	25.4%	#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y))
▶	42.0%	#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))
✓	37.5%	#s(approx (+ x (* y (- z x))) (*.f64 z y))

Compiler

Compiled 47 to 49 computations (-4.3% saved)

simplify61.0ms (1.4%)

Memory

1.3MiB live, 39.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

768×	`lower-fma.f32`
764×	`lower-fma.f64`
352×	`lower-*.f32`
346×	`lower-*.f64`
200×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	112
0	28	112
1	47	108
2	66	108
3	102	108
4	158	108
5	251	108
6	453	108
7	645	108
8	773	108
9	884	108
10	911	108
11	916	108
12	921	108
13	923	108
0	923	105

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

localize59.0ms (1.4%)

Memory

19.2MiB live, 56.6MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 x)
accuracy	0.0078125	(fma.f64 #s(approx (- z x) (neg.f64 x)) y x)
accuracy	28.732291037956518	#s(approx (- z x) (neg.f64 x))
accuracy	0	(*.f64 y z)
accuracy	0	(neg.f64 y)
accuracy	1.5117022356333614	(fma.f64 (neg.f64 y) x (*.f64 y z))
accuracy	25.979655362624094	#s(approx (+ x (* y (- z x))) (fma.f64 (neg.f64 y) x (*.f64 y z)))
accuracy	0	(neg.f64 x)
accuracy	0.015625	(*.f64 #s(approx (- z x) (neg.f64 x)) y)
accuracy	25.979655362624094	#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y))
accuracy	28.732291037956518	#s(approx (- z x) (neg.f64 x))
accuracy	0.0078125	(*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)
accuracy	22.044397649183832	#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))
accuracy	30.103851706256577	#s(approx (- 1 y) #s(literal 1 binary64))

Samples

48.0ms

256×

valid

Compiler

Compiled 75 to 18 computations (76% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 29.0ms (78.8% of total)

ival-sub: 3.0ms (8.2% of total)

ival-add: 3.0ms (8.2% of total)

ival-neg: 2.0ms (5.4% of total)

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

exact: 0.0ms (0% of total)

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

series26.0ms (0.6%)

Memory

-11.6MiB live, 25.5MiB allocated

Counts

12 → 324

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

Calls

9 calls:

Time	Variable		Point	Expression
11.0ms	x	@	-inf	((+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (+ x (* y (- z x))) (* (- z x) y) (- z x) (neg x) (+ (* (neg y) x) (* y z)) (+ x (* y (- z x))) (neg y) (* y z) (+ (* (- z x) y) x))
2.0ms	y	@	0	((+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (+ x (* y (- z x))) (* (- z x) y) (- z x) (neg x) (+ (* (neg y) x) (* y z)) (+ x (* y (- z x))) (neg y) (* y z) (+ (* (- z x) y) 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) (+ (* (neg y) x) (* y z)) (+ x (* y (- z x))) (neg y) (* y z) (+ (* (- z x) y) 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) (+ (* (neg y) x) (* y z)) (+ x (* y (- z x))) (neg y) (* y z) (+ (* (- z x) y) x))
1.0ms	z	@	-inf	((+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (+ x (* y (- z x))) (* (- z x) y) (- z x) (neg x) (+ (* (neg y) x) (* y z)) (+ x (* y (- z x))) (neg y) (* y z) (+ (* (- z x) y) x))

simplify186.0ms (4.3%)

Memory

-22.9MiB live, 210.6MiB allocated

Algorithm

1×	egg-herbie

Rules

7 546×	`lower-fma.f64`
7 546×	`lower-fma.f32`
3 210×	`lower-*.f64`
3 210×	`lower-*.f32`
1 174×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	1600
1	301	1567
2	852	1567
3	2189	1567
4	4836	1567
5	7160	1567
0	8014	1459

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 316

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

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)
(* -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)
(* 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)
(* 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)
(* 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)
(* 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)
(* -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)
(* 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)
(* 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)
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 (* -1 x)))
(*.f64 (-.f64 z x) y)
(* y (+ z (* -1 x)))
(*.f64 (-.f64 z x) y)
(* y (+ z (* -1 x)))
(*.f64 (-.f64 z x) y)
(* y (+ z (* -1 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)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* 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)
(* 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 (* -1 x)))
(*.f64 (-.f64 z x) y)
(* y (+ z (* -1 x)))
(*.f64 (-.f64 z x) y)
(* y (+ z (* -1 x)))
(*.f64 (-.f64 z x) y)
(* y (+ z (* -1 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 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* 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)
(* 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)
(* -1 (* y (+ x (* -1 z))))
(*.f64 (-.f64 z x) y)
(* -1 (* y (+ x (* -1 z))))
(*.f64 (-.f64 z x) y)
(* -1 (* y (+ x (* -1 z))))
(*.f64 (-.f64 z x) y)
(* -1 (* y (+ x (* -1 z))))
(*.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 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* 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)
(* 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)
(* 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)
(+ (* 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 (* -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))
(*.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)
(* 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 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)
(* -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 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)

rewrite216.0ms (5%)

Memory

4.8MiB live, 232.4MiB allocated

Rules

9 548×	`lower-fma.f32`
9 544×	`lower-fma.f64`
6 220×	`lower-*.f32`
6 214×	`lower-*.f64`
3 636×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	95
0	28	95
1	104	91
2	739	91
0	8656	88

Stop Event

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

Counts

12 → 193

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

eval64.0ms (1.5%)

Memory: -9.3MiB live, 112.1MiB allocated
Compiler: Compiled 6 255 to 711 computations (88.6% saved)

prune18.0ms (0.4%)

Memory

10.9MiB live, 49.4MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	560	0	560
Fresh	0	0	0
Picked	0	4	4
Done	0	4	4
Total	560	8	568

Accuracy

100.0%

Counts

568 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (-.f64 z x) y x)
✓	65.6%	(fma.f64 #s(approx (- z x) (neg.f64 x)) y x)
✓	76.8%	(+.f64 x #s(approx (* y (- z x)) (*.f64 z y)))
✓	57.1%	#s(approx (+ x (* y (- z x))) (fma.f64 (neg.f64 y) x (*.f64 y z)))
✓	59.4%	#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y))
✓	25.4%	#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y))
✓	42.0%	#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))
✓	37.5%	#s(approx (+ x (* y (- z x))) (*.f64 z y))

Compiler

Compiled 124 to 81 computations (34.7% saved)

regimes17.0ms (0.4%)

Memory

16.3MiB live, 16.3MiB allocated

Counts

12 → 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 #s(approx (- z x) (neg.f64 x)) y x)
(fma.f64 (-.f64 z x) y x)
(+.f64 x (*.f64 y (-.f64 z x)))
#s(approx (+ x (* y (- z x))) (fma.f64 (neg.f64 y) x (*.f64 y z)))
(fma.f64 z y (fma.f64 (neg.f64 x) y x))
(+.f64 (*.f64 z y) (fma.f64 (neg.f64 x) y x))

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

Calls

4 calls:

4.0ms	z
4.0ms	x
4.0ms	y
4.0ms	(+.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)

regimes21.0ms (0.5%)

Memory

-26.0MiB live, 11.8MiB allocated

Counts

7 → 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)))
(fma.f64 #s(approx (- z x) (neg.f64 x)) y x)

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:

12.0ms	y
3.0ms	z
3.0ms	x
3.0ms	(+.f64 x (*.f64 y (-.f64 z x)))

Results

Accuracy	Segments	Branch
87.3%	3	`x`
98.5%	3	`y`
87.6%	3	`z`
85.3%	3	`(+.f64 x (*.f64 y (-.f64 z x)))`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes3.0ms (0.1%)

Memory

2.9MiB live, 2.9MiB 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 (-.f64 #s(literal 1 binary64) y) x))
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
88.6%	3	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes9.0ms (0.2%)

Memory

9.6MiB live, 9.6MiB 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 z y))
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
#s(approx (+ x (* y (- z x))) (*.f64 z y))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
67.1%	2	`(+.f64 x (*.f64 y (-.f64 z x)))`
78.3%	3	`x`
78.5%	3	`z`
71.0%	2	`y`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes6.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB allocated

Counts

3 → 4

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 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%	4	`y`
57.5%	3	`x`
58.7%	3	`z`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes3.0ms (0.1%)

Memory

4.3MiB live, 4.3MiB 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

2 calls:

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

Results

Accuracy	Segments	Branch
53.9%	3	`(+.f64 x (*.f64 y (-.f64 z x)))`
66.3%	3	`y`

Compiler

Compiled 8 to 9 computations (-12.5% saved)

regimes5.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB 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	z
1.0ms	y
1.0ms	x
1.0ms	(+.f64 x (*.f64 y (-.f64 z x)))

Results

Accuracy	Segments	Branch
37.5%	1	`(+.f64 x (*.f64 y (-.f64 z x)))`
37.5%	1	`x`
37.5%	1	`z`
37.5%	1	`y`

Compiler

Compiled 10 to 15 computations (-50% saved)

bsearch54.0ms (1.3%)

Memory

-41.9MiB live, 45.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
43.0ms	1.4144096708080545e-6	89554.5687355619
6.0ms	-1.5976497382224033	-0.7582778136657264

Samples

22.0ms

240×

valid

Compiler

Compiled 190 to 222 computations (-16.8% saved)

Precisions

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

ival-mult: 2.0ms (47.3% of total)

ival-sub: 1.0ms (23.6% of total)

ival-add: 1.0ms (23.6% of total)

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

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

bsearch14.0ms (0.3%)

Memory

22.8MiB live, 22.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	1.4144096708080545e-6	89554.5687355619
5.0ms	-0.7582778136657264	-0.44129955643508634

Samples

6.0ms

160×

valid

Compiler

Compiled 178 to 222 computations (-24.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-sub: 1.0ms (35.9% of total)

ival-add: 1.0ms (35.9% of total)

ival-mult: 1.0ms (35.9% of total)

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

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

bsearch19.0ms (0.4%)

Memory

-6.3MiB live, 29.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	7.196824658366168e+211	9.399652956824795e+216
5.0ms	-5.19520815792421e+129	-2.998610309513139e+129

Samples

10.0ms

208×

valid

Compiler

Compiled 140 to 194 computations (-38.6% saved)

Precisions

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

ival-sub: 1.0ms (28.2% of total)

ival-add: 1.0ms (28.2% of total)

ival-mult: 1.0ms (28.2% of total)

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

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

bsearch25.0ms (0.6%)

Memory

10.1MiB live, 46.1MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
13.0ms	1.1371490360035366e+42	9.227628244919914e+48
8.0ms	8.183407451169727e-34	7.204567109680067e-32
2.0ms	-0.7582778136657264	-0.44129955643508634

Samples

13.0ms

272×

valid

Compiler

Compiled 199 to 292 computations (-46.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-sub: 4.0ms (53.6% of total)

ival-mult: 2.0ms (26.8% of total)

ival-add: 1.0ms (13.4% of total)

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

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

bsearch1.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	8.183407451169727e-34	7.204567109680067e-32
0.0ms	-0.7582778136657264	-0.44129955643508634

Compiler

Compiled 109 to 166 computations (-52.3% saved)

simplify30.0ms (0.7%)

Memory

-5.3MiB live, 43.2MiB 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	54	262
1	68	262
2	74	262
3	77	262
4	78	262

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 1 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 -2116691824864133/4503599627370496 binary64)) #s(approx (+ x (* y (- z x))) (.f64 (-.f64 z x) y)) (if (<=.f64 y #s(literal 5 binary64)) #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))))
(if (<=.f64 z #s(literal -4500000000000000145892582743499520794915180300603347678057176554040382855249592033071871617551187470880974849994584216093935534080 binary64)) #s(approx (+ x (* y (- z x))) (.f64 z y)) (if (<=.f64 z #s(literal 83999999999999999133489314725715760140917814643505750847548973319265390098334892064243869619555556990997219608492130965286730839907394528305408950899719083480813896792272178021128647908030950049146663981960658944 binary64)) #s(approx (+ x ( y (- z x))) (.f64 (-.f64 #s(literal 1 binary64) y) x)) #s(approx (+ x ( y (- z x))) (*.f64 z y))))
(if (<=.f64 y #s(literal -8106479329266893/18014398509481984 binary64)) #s(approx (+ x (* y (- z x))) (.f64 z y)) (if (<=.f64 y #s(literal 1598517415830675/22835963083295358096932575511191922182123945984 binary64)) #s(approx (+ x ( y (- z x))) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) (if (<=.f64 y #s(literal 1149999999999999997458692861051917276545024 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 -8106479329266893/18014398509481984 binary64)) #s(approx (+ x (* y (- z x))) (.f64 z y)) (if (<=.f64 y #s(literal 1598517415830675/22835963083295358096932575511191922182123945984 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 1 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 1 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 -2116691824864133/4503599627370496 binary64)) #s(approx (+ x (* y (- z x))) (.f64 (-.f64 z x) y)) (if (<=.f64 y #s(literal 5 binary64)) #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))))
(if (<=.f64 y #s(literal -2116691824864133/4503599627370496 binary64)) #s(approx (+ x (* y (- z x))) (.f64 y (-.f64 z x))) (if (<=.f64 y #s(literal 5 binary64)) #s(approx (+ x ( y (- z x))) (.f64 (-.f64 #s(literal 1 binary64) y) x)) #s(approx (+ x ( y (- z x))) (*.f64 y (-.f64 z x)))))
(if (<=.f64 z #s(literal -4500000000000000145892582743499520794915180300603347678057176554040382855249592033071871617551187470880974849994584216093935534080 binary64)) #s(approx (+ x (* y (- z x))) (.f64 z y)) (if (<=.f64 z #s(literal 83999999999999999133489314725715760140917814643505750847548973319265390098334892064243869619555556990997219608492130965286730839907394528305408950899719083480813896792272178021128647908030950049146663981960658944 binary64)) #s(approx (+ x ( y (- z x))) (.f64 (-.f64 #s(literal 1 binary64) y) x)) #s(approx (+ x ( y (- z x))) (*.f64 z y))))
(if (<=.f64 z #s(literal -4500000000000000145892582743499520794915180300603347678057176554040382855249592033071871617551187470880974849994584216093935534080 binary64)) #s(approx (+ x (* y (- z x))) (.f64 y z)) (if (<=.f64 z #s(literal 83999999999999999133489314725715760140917814643505750847548973319265390098334892064243869619555556990997219608492130965286730839907394528305408950899719083480813896792272178021128647908030950049146663981960658944 binary64)) #s(approx (+ x ( y (- z x))) (.f64 (-.f64 #s(literal 1 binary64) y) x)) #s(approx (+ x ( y (- z x))) (*.f64 y z))))
(if (<=.f64 y #s(literal -8106479329266893/18014398509481984 binary64)) #s(approx (+ x (* y (- z x))) (.f64 z y)) (if (<=.f64 y #s(literal 1598517415830675/22835963083295358096932575511191922182123945984 binary64)) #s(approx (+ x ( y (- z x))) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) (if (<=.f64 y #s(literal 1149999999999999997458692861051917276545024 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 -8106479329266893/18014398509481984 binary64)) #s(approx (+ x (* y (- z x))) (.f64 y z)) (if (<=.f64 y #s(literal 1598517415830675/22835963083295358096932575511191922182123945984 binary64)) #s(approx (+ x ( y (- z x))) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) (if (<=.f64 y #s(literal 1149999999999999997458692861051917276545024 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 -8106479329266893/18014398509481984 binary64)) #s(approx (+ x (* y (- z x))) (.f64 z y)) (if (<=.f64 y #s(literal 1598517415830675/22835963083295358096932575511191922182123945984 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 -8106479329266893/18014398509481984 binary64)) #s(approx (+ x (* y (- z x))) (.f64 y z)) (if (<=.f64 y #s(literal 1598517415830675/22835963083295358096932575511191922182123945984 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 (26.6%)

Memory

19.0MiB live, 530.9MiB 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 209 to 132 computations (36.8% saved)

preprocess73.0ms (1.7%)

Memory: -37.8MiB live, 83.6MiB allocated
Compiler: Compiled 286 to 112 computations (60.8% 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	20	112
0	28	112
1	47	108
2	66	108
3	102	108
4	158	108
5	251	108
6	453	108
7	645	108
8	773	108
9	884	108
10	911	108
11	916	108
12	921	108
13	923	108
0	923	105

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	20	112
0	28	112
1	47	108
2	66	108
3	102	108
4	158	108
5	251	108
6	453	108
7	645	108
8	773	108
9	884	108
10	911	108
11	916	108
12	921	108
13	923	108
0	923	105

start0.0ms (0%)

analyze0.0ms (0%)

sample605.0ms (13.9%)

explain75.0ms (1.7%)

preprocess73.0ms (1.7%)

eval0.0ms (0%)

prune4.0ms (0.1%)

simplify21.0ms (0.5%)

localize23.0ms (0.5%)

series7.0ms (0.2%)

simplify148.0ms (3.4%)

rewrite262.0ms (6%)

eval41.0ms (0.9%)

prune13.0ms (0.3%)

simplify216.0ms (5%)

localize57.0ms (1.3%)

series14.0ms (0.3%)

simplify138.0ms (3.2%)

rewrite265.0ms (6.1%)

eval155.0ms (3.6%)

prune159.0ms (3.7%)

simplify61.0ms (1.4%)

localize59.0ms (1.4%)

series26.0ms (0.6%)

simplify186.0ms (4.3%)

rewrite216.0ms (5%)

eval64.0ms (1.5%)

prune18.0ms (0.4%)

regimes17.0ms (0.4%)

regimes21.0ms (0.5%)

regimes3.0ms (0.1%)

regimes9.0ms (0.2%)

regimes6.0ms (0.1%)

regimes3.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch54.0ms (1.3%)

bsearch14.0ms (0.3%)

bsearch19.0ms (0.4%)

bsearch25.0ms (0.6%)

bsearch1.0ms (0%)

simplify30.0ms (0.7%)

soundness1.2s (26.6%)

preprocess73.0ms (1.7%)

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	20	112
0	28	112
1	47	108
2	66	108
3	102	108
4	158	108
5	251	108
6	453	108
7	645	108
8	773	108
9	884	108
10	911	108
11	916	108
12	921	108
13	923	108
0	923	105