Metrics for Linear.Projection:inverseInfinitePerspective from linear-1.19.1.3

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
100%	99.8%	0%	0.2%	0%	0%	0%	1

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.1s (13.3%)

Memory

37.5MiB live, 1 148.0MiB allocated

Samples

593.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 241.0ms

ival-mult: 195.0ms (81% of total)

ival-sub: 37.0ms (15.4% of total)

ival-true: 5.0ms (2.1% of total)

ival-assert: 3.0ms (1.2% of total)

Bogosity

explain139.0ms (1.7%)

Memory

-19.1MiB live, 96.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
19	-	-	`(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)`
5	-	-	`(-.f64 (.f64 x y) (.f64 z y))`
0	-	-	`y`
0	-	-	`t`
0	-	-	`(*.f64 z y)`
0	-	-	`z`
0	-	-	`(*.f64 x y)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)`	*no**	16	0
`-.f64`	`(-.f64 (.f64 x y) (.f64 z y))`	nan-rescue	5	0
↳	`(*.f64 x y)`	overflow	32
↳	`(*.f64 z y)`	overflow	43
`*.f64`	`(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)`	*nu**	3	0

Confusion

	Predicted +	Predicted -
+	22	0
-	0	234

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	22	0	0
-	0	0	234

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	234
1	20
2	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

27.0ms

512×

valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

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

ival-mult: 9.0ms (74.2% of total)

ival-sub: 2.0ms (16.5% of total)

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

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

preprocess129.0ms (1.6%)

Memory

9.3MiB live, 61.0MiB allocated

Algorithm

1×	egg-herbie

Rules

984×	`unsub-neg`
784×	`lower-fma.f64`
784×	`lower-fma.f32`
562×	`distribute-lft-in`
512×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	111
1	158	100
2	384	100
3	1336	100
4	2603	100
5	3524	100
6	3573	100
7	3575	100
8	3575	100
9	3575	100
10	3575	100
0	8	9
0	12	7
1	22	7
2	46	7
3	102	7
4	188	7
5	265	7
6	396	7
7	605	7
8	989	7
9	1097	7
10	1109	7
11	1109	7
0	1109	7

Stop Event

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

Calls

Call 1

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

Outputs
(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)
(.f64 (.f64 (-.f64 x z) t) y)

Symmetry

(negabs t)

(negabs y)

(sort y t)

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.9%	(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify117.0ms (1.4%)

Memory

-9.8MiB live, 24.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 z y)
cost-diff	0	(*.f64 x y)
cost-diff	0	(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)
cost-diff	320	(-.f64 (.f64 x y) (.f64 z y))

Rules

784×	`lower-fma.f64`
784×	`lower-fma.f32`
496×	`lower-*.f32`
490×	`lower-*.f64`
204×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
0	12	22
1	22	22
2	46	22
3	102	22
4	188	22
5	265	22
6	396	22
7	605	22
8	989	22
9	1097	22
10	1109	22
11	1109	22
0	1109	22

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)
(.f64 (.f64 (-.f64 x z) t) y)
(-.f64 (.f64 x y) (.f64 z y))
(*.f64 (-.f64 x z) y)
(*.f64 x y)
(*.f64 y x)
x
y
(*.f64 z y)
z
t

localize99.0ms (1.2%)

Memory

-8.8MiB live, 28.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 z y)
accuracy	0	(*.f64 x y)
accuracy	0.00390625	(-.f64 (.f64 x y) (.f64 z y))
accuracy	1.3175308330131474	(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)

Samples

13.0ms

256×

valid

Compiler

Compiled 28 to 10 computations (64.3% saved)

Precisions

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

ival-mult: 5.0ms (85.7% of total)

ival-sub: 1.0ms (17.1% of total)

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

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

series12.0ms (0.1%)

Memory

18.4MiB live, 18.4MiB allocated

Counts

4 → 132

Calls

Call 1

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

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

Calls

12 calls:

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

simplify164.0ms (2%)

Memory

4.8MiB live, 163.7MiB allocated

Algorithm

1×	egg-herbie

Rules

4 534×	`lower-fma.f64`
4 534×	`lower-fma.f32`
2 638×	`lower-*.f64`
2 638×	`lower-*.f32`
1 422×	`unsub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	56	798
1	194	666
2	574	666
3	2066	666
4	4663	666
5	6788	666
6	7422	666
7	7874	666
0	8135	666

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

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

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

rewrite238.0ms (2.9%)

Memory

11.3MiB live, 326.4MiB allocated

Rules

11 204×	`lower-fma.f64`
11 204×	`lower-fma.f32`
4 348×	`lower-*.f32`
4 342×	`lower-*.f64`
3 242×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
0	12	18
1	35	18
2	237	18
3	2343	18
0	8272	18

Stop Event

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

Counts

4 → 290

Calls

Call 1

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

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

eval82.0ms (1%)

Memory: -35.3MiB live, 173.4MiB allocated
Compiler: Compiled 10 918 to 1 062 computations (90.3% saved)

prune132.0ms (1.6%)

Memory

25.6MiB live, 108.4MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	412	10	422
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	413	10	423

Accuracy

100.0%

Counts

423 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.6%	(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 z y) #s(literal 2 binary64)))) t) (.f64 (neg.f64 y) (+.f64 z x)))
	14.0%	(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 (.f64 z y) #s(literal 6 binary64))) (pow.f64 (fma.f64 (.f64 (.f64 y y) z) (+.f64 z x) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) t)
	72.4%	(.f64 (/.f64 (.f64 (*.f64 (+.f64 z x) (-.f64 x z)) y) (+.f64 z x)) t)
▶	62.2%	(.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (/.f64 t (.f64 (+.f64 z x) y)))
▶	95.6%	(.f64 (-.f64 x z) (.f64 t y))
▶	97.9%	(.f64 (.f64 (-.f64 x z) y) t)
	88.4%	(.f64 (.f64 (-.f64 x z) t) y)
▶	57.4%	(.f64 #s(approx (- ( x y) (* z y)) (*.f64 (neg.f64 z) y)) t)
▶	55.1%	(.f64 #s(approx (- ( x y) (* z y)) (*.f64 y x)) t)
	52.8%	#s(approx (* (- (* x y) (* z y)) t) (.f64 (.f64 (neg.f64 t) z) y))

Compiler

Compiled 276 to 218 computations (21% saved)

simplify161.0ms (1.9%)

Memory

-20.1MiB live, 128.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y x)
cost-diff	0	(pow.f64 (*.f64 y x) #s(literal 2 binary64))
cost-diff	2048	(.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (/.f64 t (.f64 (+.f64 z x) y)))
cost-diff	12416	(-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 z y) #s(literal 2 binary64)))
cost-diff	0	(*.f64 t y)
cost-diff	0	(-.f64 x z)
cost-diff	0	(.f64 (-.f64 x z) (.f64 t y))
cost-diff	0	(neg.f64 z)
cost-diff	0	(*.f64 (neg.f64 z) y)
cost-diff	0	#s(approx (- (* x y) (* z y)) (*.f64 (neg.f64 z) y))
cost-diff	0	(.f64 #s(approx (- ( x y) (* z y)) (*.f64 (neg.f64 z) y)) t)
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (- (* x y) (* z y)) (*.f64 y x))
cost-diff	0	(.f64 #s(approx (- ( x y) (* z y)) (*.f64 y x)) t)
cost-diff	0	(-.f64 x z)
cost-diff	0	(*.f64 (-.f64 x z) y)
cost-diff	0	(.f64 (.f64 (-.f64 x z) y) t)

Rules

14 148×	`lower-fma.f64`
14 148×	`lower-fma.f32`
5 142×	`lower-*.f32`
5 120×	`lower-*.f64`
1 888×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	167
0	46	147
1	80	147
2	165	147
3	461	147
4	1848	147
5	6401	147
0	8782	147

Stop Event

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

Calls

Call 1

Inputs
(.f64 (.f64 (-.f64 x z) y) t)
(*.f64 (-.f64 x z) y)
(-.f64 x z)
x
z
y
t
(.f64 #s(approx (- ( x y) (* z y)) (*.f64 y x)) t)
#s(approx (- (* x y) (* z y)) (*.f64 y x))
(*.f64 y x)
y
x
t
(.f64 #s(approx (- ( x y) (* z y)) (*.f64 (neg.f64 z) y)) t)
#s(approx (- (* x y) (* z y)) (*.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) y)
(neg.f64 z)
z
y
t
(.f64 (-.f64 x z) (.f64 t y))
(-.f64 x z)
x
z
(*.f64 t y)
t
y
(.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (/.f64 t (.f64 (+.f64 z x) y)))
(-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 z y) #s(literal 2 binary64)))
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
(*.f64 y x)
y
x
#s(literal 2 binary64)
(pow.f64 (*.f64 z y) #s(literal 2 binary64))
(*.f64 z y)
z
(/.f64 t (*.f64 (+.f64 z x) y))
t
(*.f64 (+.f64 z x) y)
(+.f64 z x)

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

localize67.0ms (0.8%)

Memory

33.7MiB live, 104.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.240566259768442	(pow.f64 (*.f64 z y) #s(literal 2 binary64))
accuracy	4.691385608302059	(-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 z y) #s(literal 2 binary64)))
accuracy	7.4428293996494705	(/.f64 t (*.f64 (+.f64 z x) y))
accuracy	15.03422747811497	(.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (/.f64 t (.f64 (+.f64 z x) y)))
accuracy	0	(-.f64 x z)
accuracy	0	(*.f64 t y)
accuracy	2.793253319289951	(.f64 (-.f64 x z) (.f64 t y))
accuracy	0	(*.f64 (neg.f64 z) y)
accuracy	0	(neg.f64 z)
accuracy	1.3175308330131474	(.f64 #s(approx (- ( x y) (* z y)) (*.f64 (neg.f64 z) y)) t)
accuracy	28.16701572109097	#s(approx (- (* x y) (* z y)) (*.f64 (neg.f64 z) y))
accuracy	0	(*.f64 y x)
accuracy	1.3175308330131474	(.f64 #s(approx (- ( x y) (* z y)) (*.f64 y x)) t)
accuracy	30.051347633105166	#s(approx (- (* x y) (* z y)) (*.f64 y x))
accuracy	0	(-.f64 x z)
accuracy	0	(*.f64 (-.f64 x z) y)
accuracy	1.3175308330131474	(.f64 (.f64 (-.f64 x z) y) t)

Samples

47.0ms

256×

valid

Compiler

Compiled 151 to 26 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-mult: 15.0ms (55.2% of total)

ival-pow2: 4.0ms (14.7% of total)

ival-sub: 3.0ms (11% of total)

ival-div: 2.0ms (7.4% of total)

ival-add: 1.0ms (3.7% of total)

ival-neg: 1.0ms (3.7% of total)

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

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

exact: 0.0ms (0% of total)

series67.0ms (0.8%)

Memory

-23.4MiB live, 103.9MiB allocated

Counts

17 → 588

Calls

Call 1

Inputs
#s(alt (.f64 (.f64 (-.f64 x z) y) t) (patch (.f64 (.f64 (-.f64 x z) y) t) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 x z) y) (patch (.f64 (-.f64 x z) y) #<representation binary64>) () ())
#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (- ( x y) (* z y)) (.f64 y x)) t) (patch (.f64 #s(approx (- (* x y) (* z y)) (*.f64 y x)) t) #<representation binary64>) () ())
#s(alt #s(approx (- (* x y) (* z y)) (.f64 y x)) (patch #s(approx (- ( x y) (* z y)) (*.f64 y x)) #<representation binary64>) () ())
#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (- ( x y) (* z y)) (.f64 (neg.f64 z) y)) t) (patch (.f64 #s(approx (- (* x y) (* z y)) (*.f64 (neg.f64 z) y)) t) #<representation binary64>) () ())
#s(alt #s(approx (- (* x y) (* z y)) (.f64 (neg.f64 z) y)) (patch #s(approx (- ( x y) (* z y)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 z) y) (patch (.f64 (neg.f64 z) y) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 x z) (.f64 t y)) (patch (.f64 (-.f64 x z) (.f64 t y)) #<representation binary64>) () ())
#s(alt (.f64 t y) (patch (.f64 t y) #<representation binary64>) () ())
#s(alt (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 z y) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (/.f64 t (.f64 (+.f64 z x) y))) (patch (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (/.f64 t (.f64 (+.f64 z x) y))) #<representation binary64>) () ())
#s(alt (pow.f64 (.f64 y x) #s(literal 2 binary64)) (patch (pow.f64 (.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 t (.f64 (+.f64 z x) y)) (patch (/.f64 t (.f64 (+.f64 z x) y)) #<representation binary64>) () ())
#s(alt (pow.f64 (.f64 z y) #s(literal 2 binary64)) (patch (pow.f64 (.f64 z y) #s(literal 2 binary64)) #<representation binary64>) () ())

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

Calls

12 calls:

Time	Variable		Point	Expression
8.0ms	t	@	inf	((* (* (- x z) y) t) (* (- x z) y) (- x z) (* (- (* x y) (* z y)) t) (- (* x y) (* z y)) (* y x) (* (- (* x y) (* z y)) t) (- (* x y) (* z y)) (* (neg z) y) (neg z) (* (- x z) (* t y)) (* t y) (- (pow (* y x) 2) (pow (* z y) 2)) (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (pow (* y x) 2) (/ t (* (+ z x) y)) (pow (* z y) 2))
7.0ms	y	@	-inf	((* (* (- x z) y) t) (* (- x z) y) (- x z) (* (- (* x y) (* z y)) t) (- (* x y) (* z y)) (* y x) (* (- (* x y) (* z y)) t) (- (* x y) (* z y)) (* (neg z) y) (neg z) (* (- x z) (* t y)) (* t y) (- (pow (* y x) 2) (pow (* z y) 2)) (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (pow (* y x) 2) (/ t (* (+ z x) y)) (pow (* z y) 2))
6.0ms	z	@	inf	((* (* (- x z) y) t) (* (- x z) y) (- x z) (* (- (* x y) (* z y)) t) (- (* x y) (* z y)) (* y x) (* (- (* x y) (* z y)) t) (- (* x y) (* z y)) (* (neg z) y) (neg z) (* (- x z) (* t y)) (* t y) (- (pow (* y x) 2) (pow (* z y) 2)) (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (pow (* y x) 2) (/ t (* (+ z x) y)) (pow (* z y) 2))
5.0ms	t	@	0	((* (* (- x z) y) t) (* (- x z) y) (- x z) (* (- (* x y) (* z y)) t) (- (* x y) (* z y)) (* y x) (* (- (* x y) (* z y)) t) (- (* x y) (* z y)) (* (neg z) y) (neg z) (* (- x z) (* t y)) (* t y) (- (pow (* y x) 2) (pow (* z y) 2)) (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (pow (* y x) 2) (/ t (* (+ z x) y)) (pow (* z y) 2))
4.0ms	y	@	inf	((* (* (- x z) y) t) (* (- x z) y) (- x z) (* (- (* x y) (* z y)) t) (- (* x y) (* z y)) (* y x) (* (- (* x y) (* z y)) t) (- (* x y) (* z y)) (* (neg z) y) (neg z) (* (- x z) (* t y)) (* t y) (- (pow (* y x) 2) (pow (* z y) 2)) (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (pow (* y x) 2) (/ t (* (+ z x) y)) (pow (* z y) 2))

simplify182.0ms (2.2%)

Memory

18.1MiB live, 295.2MiB allocated

Algorithm

1×	egg-herbie

Rules

7 244×	`lower-fma.f64`
7 244×	`lower-fma.f32`
4 528×	`lower-*.f64`
4 528×	`lower-*.f32`
3 058×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	233	5060
1	789	4710
2	2583	4510
3	6926	4506
0	8205	4492

Stop Event

1×	iter limit
1×	node limit

Counts

588 → 585

Calls

Call 1

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

rewrite262.0ms (3.2%)

Memory

16.6MiB live, 286.0MiB allocated

Rules

8 428×	`lower-fma.f64`
8 428×	`lower-fma.f32`
6 106×	`lower-*.f32`
6 084×	`lower-*.f64`
3 738×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	131
0	46	111
1	152	111
2	916	111
0	9048	111

Stop Event

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

Counts

17 → 1 524

Calls

Call 1

Inputs
(.f64 (.f64 (-.f64 x z) y) t)
(*.f64 (-.f64 x z) y)
(-.f64 x z)
(.f64 #s(approx (- ( x y) (* z y)) (*.f64 y x)) t)
#s(approx (- (* x y) (* z y)) (*.f64 y x))
(*.f64 y x)
(.f64 #s(approx (- ( x y) (* z y)) (*.f64 (neg.f64 z) y)) t)
#s(approx (- (* x y) (* z y)) (*.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) y)
(neg.f64 z)
(.f64 (-.f64 x z) (.f64 t y))
(*.f64 t y)
(-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 z y) #s(literal 2 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 z y) #s(literal 2 binary64))) (/.f64 t (.f64 (+.f64 z x) y)))
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
(/.f64 t (*.f64 (+.f64 z x) y))
(pow.f64 (*.f64 z y) #s(literal 2 binary64))

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

eval305.0ms (3.7%)

Memory: 22.4MiB live, 525.4MiB allocated
Compiler: Compiled 56 032 to 2 989 computations (94.7% saved)

prune385.0ms (4.6%)

Memory

-3.7MiB live, 399.4MiB allocated

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	2 239	7	2 246
Fresh	4	1	5
Picked	1	4	5
Done	0	0	0
Total	2 244	12	2 256

Accuracy

100.0%

Counts

2 256 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	65.9%	(.f64 (/.f64 (.f64 (.f64 (.f64 (+.f64 z x) y) y) (-.f64 x z)) (*.f64 (+.f64 z x) y)) t)
✓	95.6%	(.f64 (-.f64 x z) (.f64 t y))
✓	97.9%	(.f64 (.f64 (-.f64 x z) y) t)
	88.4%	(.f64 (.f64 (-.f64 x z) t) y)
	47.0%	(.f64 #s(approx (- ( x y) (* z y)) (.f64 (.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)) y)) t)
✓	57.4%	(.f64 #s(approx (- ( x y) (* z y)) (*.f64 (neg.f64 z) y)) t)
✓	55.1%	(.f64 #s(approx (- ( x y) (* z y)) (*.f64 y x)) t)
▶	58.0%	(.f64 #s(approx (- x z) (neg.f64 z)) (.f64 t y))
	52.8%	#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 (neg.f64 t) z) y))
▶	56.5%	#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 y t) x))
▶	89.9%	#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 t (*.f64 y (-.f64 (/.f64 x z) #s(literal 1 binary64)))) z))
▶	87.8%	#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 t (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z x)))) x))

Compiler

Compiled 193 to 179 computations (7.3% saved)

simplify174.0ms (2.1%)

Memory

-13.2MiB live, 188.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 (+.f64 z x) y) y)
cost-diff	0	(.f64 (.f64 (*.f64 (+.f64 z x) y) y) (-.f64 x z))
cost-diff	0	(.f64 (/.f64 (.f64 (.f64 (.f64 (+.f64 z x) y) y) (-.f64 x z)) (*.f64 (+.f64 z x) y)) t)
cost-diff	2048	(/.f64 (.f64 (.f64 (.f64 (+.f64 z x) y) y) (-.f64 x z)) (.f64 (+.f64 z x) y))
cost-diff	0	(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z x)))
cost-diff	0	(.f64 t (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z x))))
cost-diff	0	(.f64 (.f64 t (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z x)))) x)
cost-diff	0	#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 t (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z x)))) x))
cost-diff	0	(*.f64 t y)
cost-diff	0	(neg.f64 z)
cost-diff	0	#s(approx (- x z) (neg.f64 z))
cost-diff	0	(.f64 #s(approx (- x z) (neg.f64 z)) (.f64 t y))
cost-diff	0	(*.f64 y t)
cost-diff	0	(.f64 (.f64 y t) x)
cost-diff	0	#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 y t) x))
cost-diff	0	(*.f64 y (-.f64 (/.f64 x z) #s(literal 1 binary64)))
cost-diff	0	(.f64 t (.f64 y (-.f64 (/.f64 x z) #s(literal 1 binary64))))
cost-diff	0	(.f64 (.f64 t (*.f64 y (-.f64 (/.f64 x z) #s(literal 1 binary64)))) z)
cost-diff	0	#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 t (*.f64 y (-.f64 (/.f64 x z) #s(literal 1 binary64)))) z))

Rules

8 554×	`lower-fma.f64`
8 554×	`lower-fma.f32`
4 230×	`lower-*.f32`
4 202×	`lower-*.f64`
3 056×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	271
0	64	271
1	124	271
2	361	271
3	1330	211
4	4504	211
5	7663	211
0	9152	211

Stop Event

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

Calls

Call 1

Inputs
#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 t (*.f64 y (-.f64 (/.f64 x z) #s(literal 1 binary64)))) z))
(.f64 (.f64 t (*.f64 y (-.f64 (/.f64 x z) #s(literal 1 binary64)))) z)
(.f64 t (.f64 y (-.f64 (/.f64 x z) #s(literal 1 binary64))))
t
(*.f64 y (-.f64 (/.f64 x z) #s(literal 1 binary64)))
y
(-.f64 (/.f64 x z) #s(literal 1 binary64))
(/.f64 x z)
x
z
#s(literal 1 binary64)
#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 y t) x))
(.f64 (.f64 y t) x)
(*.f64 y t)
y
t
x
(.f64 #s(approx (- x z) (neg.f64 z)) (.f64 t y))
#s(approx (- x z) (neg.f64 z))
(neg.f64 z)
z
(*.f64 t y)
t
y
#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 t (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z x)))) x))
(.f64 (.f64 t (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z x)))) x)
(.f64 t (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z x))))
t
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z x)))
y
(-.f64 #s(literal 1 binary64) (/.f64 z x))
#s(literal 1 binary64)
(/.f64 z x)
z
x
(.f64 (/.f64 (.f64 (.f64 (.f64 (+.f64 z x) y) y) (-.f64 x z)) (*.f64 (+.f64 z x) y)) t)
(/.f64 (.f64 (.f64 (.f64 (+.f64 z x) y) y) (-.f64 x z)) (.f64 (+.f64 z x) y))
(.f64 (.f64 (*.f64 (+.f64 z x) y) y) (-.f64 x z))
(.f64 (.f64 (+.f64 z x) y) y)
(*.f64 (+.f64 z x) y)
(+.f64 z x)
z
x
y
(-.f64 x z)
t

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

localize114.0ms (1.4%)

Memory

-6.0MiB live, 70.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.125	(.f64 (.f64 (+.f64 z x) y) y)
accuracy	1.3175308330131474	(.f64 (/.f64 (.f64 (.f64 (.f64 (+.f64 z x) y) y) (-.f64 x z)) (*.f64 (+.f64 z x) y)) t)
accuracy	3.858637333827728	(.f64 (.f64 (*.f64 (+.f64 z x) y) y) (-.f64 x z))
accuracy	27.381525125446803	(/.f64 (.f64 (.f64 (.f64 (+.f64 z x) y) y) (-.f64 x z)) (.f64 (+.f64 z x) y))
accuracy	0	#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 t (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z x)))) x))
accuracy	0.29040031147389367	(.f64 t (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z x))))
accuracy	2.660021853871073	(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z x)))
accuracy	5.869659236459118	(.f64 (.f64 t (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z x)))) x)
accuracy	0	(*.f64 t y)
accuracy	0	(neg.f64 z)
accuracy	2.793253319289951	(.f64 #s(approx (- x z) (neg.f64 z)) (.f64 t y))
accuracy	31.621598659267605	#s(approx (- x z) (neg.f64 z))
accuracy	0	(*.f64 y t)
accuracy	5.236426208768369	(.f64 (.f64 y t) x)
accuracy	27.92370066004754	#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 y t) x))
accuracy	0	#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 t (*.f64 y (-.f64 (/.f64 x z) #s(literal 1 binary64)))) z))
accuracy	0.0625	(.f64 t (.f64 y (-.f64 (/.f64 x z) #s(literal 1 binary64))))
accuracy	3.3759652305324837	(*.f64 y (-.f64 (/.f64 x z) #s(literal 1 binary64)))
accuracy	5.025857830206233	(.f64 (.f64 t (*.f64 y (-.f64 (/.f64 x z) #s(literal 1 binary64)))) z)

Samples

82.0ms

256×

valid

Compiler

Compiled 237 to 36 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-mult: 47.0ms (73.4% of total)

ival-div: 6.0ms (9.4% of total)

ival-sub: 4.0ms (6.2% of total)

ival-pow2: 4.0ms (6.2% of total)

ival-add: 1.0ms (1.6% of total)

ival-neg: 1.0ms (1.6% of total)

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

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

exact: 0.0ms (0% of total)

series93.0ms (1.1%)

Memory

28.0MiB live, 181.1MiB allocated

Counts

19 → 732

Calls

Call 1

Inputs
#s(alt #s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 t (.f64 y (-.f64 (/.f64 x z) #s(literal 1 binary64)))) z)) (patch #s(approx ( (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 t (*.f64 y (-.f64 (/.f64 x z) #s(literal 1 binary64)))) z)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 t (.f64 y (-.f64 (/.f64 x z) #s(literal 1 binary64)))) z) (patch (.f64 (.f64 t (.f64 y (-.f64 (/.f64 x z) #s(literal 1 binary64)))) z) #<representation binary64>) () ())
#s(alt (.f64 t (.f64 y (-.f64 (/.f64 x z) #s(literal 1 binary64)))) (patch (.f64 t (.f64 y (-.f64 (/.f64 x z) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 y (-.f64 (/.f64 x z) #s(literal 1 binary64))) (patch (.f64 y (-.f64 (/.f64 x z) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 y t) x)) (patch #s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 y t) x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 y t) x) (patch (.f64 (.f64 y t) x) #<representation binary64>) () ())
#s(alt (.f64 y t) (patch (.f64 y t) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (- x z) (neg.f64 z)) (.f64 t y)) (patch (.f64 #s(approx (- x z) (neg.f64 z)) (.f64 t y)) #<representation binary64>) () ())
#s(alt #s(approx (- x z) (neg.f64 z)) (patch #s(approx (- x z) (neg.f64 z)) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt (.f64 t y) (patch (.f64 t y) #<representation binary64>) () ())
#s(alt #s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 t (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z x)))) x)) (patch #s(approx ( (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 t (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z x)))) x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 t (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z x)))) x) (patch (.f64 (.f64 t (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z x)))) x) #<representation binary64>) () ())
#s(alt (.f64 t (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z x)))) (patch (.f64 t (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z x)))) #<representation binary64>) () ())
#s(alt (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z x))) (patch (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z x))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 (.f64 (+.f64 z x) y) y) (-.f64 x z)) (.f64 (+.f64 z x) y)) (patch (/.f64 (.f64 (.f64 (.f64 (+.f64 z x) y) y) (-.f64 x z)) (.f64 (+.f64 z x) y)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (.f64 (.f64 (.f64 (+.f64 z x) y) y) (-.f64 x z)) (.f64 (+.f64 z x) y)) t) (patch (.f64 (/.f64 (.f64 (.f64 (.f64 (+.f64 z x) y) y) (-.f64 x z)) (.f64 (+.f64 z x) y)) t) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 (+.f64 z x) y) y) (-.f64 x z)) (patch (.f64 (.f64 (.f64 (+.f64 z x) y) y) (-.f64 x z)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (+.f64 z x) y) y) (patch (.f64 (.f64 (+.f64 z x) y) y) #<representation binary64>) () ())

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

Calls

12 calls:

Time	Variable		Point	Expression
11.0ms	t	@	0	((* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (* (* t (* y (- (/ x z) 1))) z) (* t (* y (- (/ x z) 1))) (* y (- (/ x z) 1)) (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (* (* y t) x) (* y t) (* (- x z) (* t y)) (- x z) (neg z) (* t y) (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (* (* t (* y (- 1 (/ z x)))) x) (* t (* y (- 1 (/ z x)))) (* y (- 1 (/ z x))) (/ (* (* (* (+ z x) y) y) (- x z)) (* (+ z x) y)) (* (/ (* (* (* (+ z x) y) y) (- x z)) (* (+ z x) y)) t) (* (* (* (+ z x) y) y) (- x z)) (* (* (+ z x) y) y))
11.0ms	y	@	inf	((* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (* (* t (* y (- (/ x z) 1))) z) (* t (* y (- (/ x z) 1))) (* y (- (/ x z) 1)) (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (* (* y t) x) (* y t) (* (- x z) (* t y)) (- x z) (neg z) (* t y) (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (* (* t (* y (- 1 (/ z x)))) x) (* t (* y (- 1 (/ z x)))) (* y (- 1 (/ z x))) (/ (* (* (* (+ z x) y) y) (- x z)) (* (+ z x) y)) (* (/ (* (* (* (+ z x) y) y) (- x z)) (* (+ z x) y)) t) (* (* (* (+ z x) y) y) (- x z)) (* (* (+ z x) y) y))
9.0ms	t	@	-inf	((* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (* (* t (* y (- (/ x z) 1))) z) (* t (* y (- (/ x z) 1))) (* y (- (/ x z) 1)) (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (* (* y t) x) (* y t) (* (- x z) (* t y)) (- x z) (neg z) (* t y) (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (* (* t (* y (- 1 (/ z x)))) x) (* t (* y (- 1 (/ z x)))) (* y (- 1 (/ z x))) (/ (* (* (* (+ z x) y) y) (- x z)) (* (+ z x) y)) (* (/ (* (* (* (+ z x) y) y) (- x z)) (* (+ z x) y)) t) (* (* (* (+ z x) y) y) (- x z)) (* (* (+ z x) y) y))
8.0ms	y	@	-inf	((* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (* (* t (* y (- (/ x z) 1))) z) (* t (* y (- (/ x z) 1))) (* y (- (/ x z) 1)) (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (* (* y t) x) (* y t) (* (- x z) (* t y)) (- x z) (neg z) (* t y) (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (* (* t (* y (- 1 (/ z x)))) x) (* t (* y (- 1 (/ z x)))) (* y (- 1 (/ z x))) (/ (* (* (* (+ z x) y) y) (- x z)) (* (+ z x) y)) (* (/ (* (* (* (+ z x) y) y) (- x z)) (* (+ z x) y)) t) (* (* (* (+ z x) y) y) (- x z)) (* (* (+ z x) y) y))
5.0ms	y	@	0	((* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (* (* t (* y (- (/ x z) 1))) z) (* t (* y (- (/ x z) 1))) (* y (- (/ x z) 1)) (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (* (* y t) x) (* y t) (* (- x z) (* t y)) (- x z) (neg z) (* t y) (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (* (* t (* y (- 1 (/ z x)))) x) (* t (* y (- 1 (/ z x)))) (* y (- 1 (/ z x))) (/ (* (* (* (+ z x) y) y) (- x z)) (* (+ z x) y)) (* (/ (* (* (* (+ z x) y) y) (- x z)) (* (+ z x) y)) t) (* (* (* (+ z x) y) y) (- x z)) (* (* (+ z x) y) y))

simplify448.0ms (5.4%)

Memory

-33.9MiB live, 290.4MiB allocated

Algorithm

1×	egg-herbie

Rules

16 068×	`lower-fma.f64`
16 068×	`lower-fma.f32`
4 864×	`lower-*.f64`
4 864×	`lower-*.f32`
2 382×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	186	6921
1	678	6453
2	2261	6251
3	6964	6251
0	8291	6241

Stop Event

1×	iter limit
1×	node limit

Counts

732 → 726

Calls

Call 1

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

rewrite182.0ms (2.2%)

Memory

0.2MiB live, 238.1MiB allocated

Rules

5 324×	`lower-*.f32`
5 296×	`lower-*.f64`
4 686×	`lower-/.f32`
4 680×	`lower-/.f64`
4 172×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	224
0	64	224
1	216	224
2	1487	224
0	8160	224

Stop Event

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

Counts

19 → 312

Calls

Call 1

Inputs
#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 t (*.f64 y (-.f64 (/.f64 x z) #s(literal 1 binary64)))) z))
(.f64 (.f64 t (*.f64 y (-.f64 (/.f64 x z) #s(literal 1 binary64)))) z)
(.f64 t (.f64 y (-.f64 (/.f64 x z) #s(literal 1 binary64))))
(*.f64 y (-.f64 (/.f64 x z) #s(literal 1 binary64)))
#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 y t) x))
(.f64 (.f64 y t) x)
(*.f64 y t)
(.f64 #s(approx (- x z) (neg.f64 z)) (.f64 t y))
#s(approx (- x z) (neg.f64 z))
(neg.f64 z)
(*.f64 t y)
#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 t (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z x)))) x))
(.f64 (.f64 t (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z x)))) x)
(.f64 t (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z x))))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z x)))
(/.f64 (.f64 (.f64 (.f64 (+.f64 z x) y) y) (-.f64 x z)) (.f64 (+.f64 z x) y))
(.f64 (/.f64 (.f64 (.f64 (.f64 (+.f64 z x) y) y) (-.f64 x z)) (*.f64 (+.f64 z x) y)) t)
(.f64 (.f64 (*.f64 (+.f64 z x) y) y) (-.f64 x z))
(.f64 (.f64 (+.f64 z x) y) y)

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

eval227.0ms (2.7%)

Memory: 17.6MiB live, 374.7MiB allocated
Compiler: Compiled 15 274 to 1 319 computations (91.4% saved)

prune154.0ms (1.9%)

Memory

-2.5MiB live, 119.5MiB allocated

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	1 032	6	1 038
Fresh	3	0	3
Picked	3	2	5
Done	0	4	4
Total	1 038	12	1 050

Accuracy

100.0%

Counts

1 050 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.3%	(.f64 (/.f64 (.f64 #s(approx (* (* (+ z x) y) y) (.f64 (.f64 y x) y)) (-.f64 x z)) (*.f64 (+.f64 z x) y)) t)
✓	95.6%	(.f64 (-.f64 x z) (.f64 t y))
✓	97.9%	(.f64 (.f64 (-.f64 x z) y) t)
▶	52.8%	(.f64 (.f64 #s(approx (- x z) (neg.f64 z)) t) y)
✓	57.4%	(.f64 #s(approx (- ( x y) (* z y)) (*.f64 (neg.f64 z) y)) t)
✓	55.1%	(.f64 #s(approx (- ( x y) (* z y)) (*.f64 y x)) t)
✓	58.0%	(.f64 #s(approx (- x z) (neg.f64 z)) (.f64 t y))
✓	56.5%	#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 y t) x))
▶	47.3%	#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 t #s(approx (* y (- (/ x z) 1)) (*.f64 (/.f64 x z) y))) z))
▶	49.0%	#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 t #s(approx (* y (- 1 (/ z x))) (*.f64 (/.f64 (neg.f64 z) x) y))) x))
▶	50.7%	#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 t x) y))
▶	47.3%	#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 #s(approx ( t (* y (- 1 (/ z x)))) (.f64 (.f64 z (neg.f64 t)) (/.f64 y x))) x))

Compiler

Compiled 172 to 164 computations (4.7% saved)

simplify377.0ms (4.6%)

Memory

7.1MiB live, 117.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (* y (- 1 (/ z x))) (*.f64 (/.f64 (neg.f64 z) x) y))
cost-diff	0	(.f64 t #s(approx ( y (- 1 (/ z x))) (*.f64 (/.f64 (neg.f64 z) x) y)))
cost-diff	0	(.f64 (.f64 t #s(approx (* y (- 1 (/ z x))) (*.f64 (/.f64 (neg.f64 z) x) y))) x)
cost-diff	0	#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 t #s(approx (* y (- 1 (/ z x))) (*.f64 (/.f64 (neg.f64 z) x) y))) x))
cost-diff	0	(.f64 (.f64 z (neg.f64 t)) (/.f64 y x))
cost-diff	0	#s(approx (* t (* y (- 1 (/ z x)))) (.f64 (.f64 z (neg.f64 t)) (/.f64 y x)))
cost-diff	0	(.f64 #s(approx ( t (* y (- 1 (/ z x)))) (.f64 (.f64 z (neg.f64 t)) (/.f64 y x))) x)
cost-diff	0	#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 #s(approx ( t (* y (- 1 (/ z x)))) (.f64 (.f64 z (neg.f64 t)) (/.f64 y x))) x))
cost-diff	0	#s(approx (* y (- (/ x z) 1)) (*.f64 (/.f64 x z) y))
cost-diff	0	(.f64 t #s(approx ( y (- (/ x z) 1)) (*.f64 (/.f64 x z) y)))
cost-diff	0	(.f64 (.f64 t #s(approx (* y (- (/ x z) 1)) (*.f64 (/.f64 x z) y))) z)
cost-diff	0	#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 t #s(approx (* y (- (/ x z) 1)) (*.f64 (/.f64 x z) y))) z))
cost-diff	0	(*.f64 t x)
cost-diff	0	(.f64 (.f64 t x) y)
cost-diff	0	#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 t x) y))
cost-diff	0	(neg.f64 z)
cost-diff	0	#s(approx (- x z) (neg.f64 z))
cost-diff	0	(*.f64 #s(approx (- x z) (neg.f64 z)) t)
cost-diff	0	(.f64 (.f64 #s(approx (- x z) (neg.f64 z)) t) y)

Rules

6 830×	`lower-fma.f64`
6 830×	`lower-fma.f32`
4 952×	`lower-*.f32`
4 926×	`lower-*.f64`
1 694×	`unsub-neg`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	49	360
0	67	360
1	128	360
2	282	360
3	667	360
4	2268	312
5	5718	312
0	8400	312

Stop Event

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

Calls

Call 1

Inputs
(.f64 (.f64 #s(approx (- x z) (neg.f64 z)) t) y)
(*.f64 #s(approx (- x z) (neg.f64 z)) t)
#s(approx (- x z) (neg.f64 z))
(neg.f64 z)
z
t
y
#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 t x) y))
(.f64 (.f64 t x) y)
(*.f64 t x)
t
x
y
#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 t #s(approx (* y (- (/ x z) 1)) (*.f64 (/.f64 x z) y))) z))
(.f64 (.f64 t #s(approx (* y (- (/ x z) 1)) (*.f64 (/.f64 x z) y))) z)
(.f64 t #s(approx ( y (- (/ x z) 1)) (*.f64 (/.f64 x z) y)))
t
#s(approx (* y (- (/ x z) 1)) (*.f64 (/.f64 x z) y))
(*.f64 (/.f64 x z) y)
(/.f64 x z)
x
z
y
#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 #s(approx ( t (* y (- 1 (/ z x)))) (.f64 (.f64 z (neg.f64 t)) (/.f64 y x))) x))
(.f64 #s(approx ( t (* y (- 1 (/ z x)))) (.f64 (.f64 z (neg.f64 t)) (/.f64 y x))) x)
#s(approx (* t (* y (- 1 (/ z x)))) (.f64 (.f64 z (neg.f64 t)) (/.f64 y x)))
(.f64 (.f64 z (neg.f64 t)) (/.f64 y x))
(*.f64 z (neg.f64 t))
z
(neg.f64 t)
t
(/.f64 y x)
y
x
#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 t #s(approx (* y (- 1 (/ z x))) (*.f64 (/.f64 (neg.f64 z) x) y))) x))
(.f64 (.f64 t #s(approx (* y (- 1 (/ z x))) (*.f64 (/.f64 (neg.f64 z) x) y))) x)
(.f64 t #s(approx ( y (- 1 (/ z x))) (*.f64 (/.f64 (neg.f64 z) x) y)))
t
#s(approx (* y (- 1 (/ z x))) (*.f64 (/.f64 (neg.f64 z) x) y))
(*.f64 (/.f64 (neg.f64 z) x) y)
(/.f64 (neg.f64 z) x)
(neg.f64 z)
z
x
y

Outputs
(.f64 (.f64 #s(approx (- x z) (neg.f64 z)) t) y)
(.f64 (.f64 y t) #s(approx (- x z) (neg.f64 z)))
(*.f64 #s(approx (- x z) (neg.f64 z)) t)
(*.f64 t #s(approx (- x z) (neg.f64 z)))
#s(approx (- x z) (neg.f64 z))
(neg.f64 z)
z
t
y
#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 t x) y))
(.f64 (.f64 t x) y)
(*.f64 t x)
t
x
y
#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 t #s(approx (* y (- (/ x z) 1)) (*.f64 (/.f64 x z) y))) z))
#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 t z) #s(approx (* y (- (/ x z) 1)) (*.f64 (/.f64 x z) y))))
(.f64 (.f64 t #s(approx (* y (- (/ x z) 1)) (*.f64 (/.f64 x z) y))) z)
(.f64 (.f64 t z) #s(approx (* y (- (/ x z) 1)) (*.f64 (/.f64 x z) y)))
(.f64 t #s(approx ( y (- (/ x z) 1)) (*.f64 (/.f64 x z) y)))
(.f64 #s(approx ( y (- (/ x z) 1)) (*.f64 (/.f64 x z) y)) t)
t
#s(approx (* y (- (/ x z) 1)) (*.f64 (/.f64 x z) y))
(*.f64 (/.f64 x z) y)
(/.f64 x z)
x
z
y
#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 #s(approx ( t (* y (- 1 (/ z x)))) (.f64 (.f64 z (neg.f64 t)) (/.f64 y x))) x))
#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 #s(approx ( t (* y (- 1 (/ z x)))) (.f64 (.f64 (/.f64 (neg.f64 z) x) y) t)) x))
(.f64 #s(approx ( t (* y (- 1 (/ z x)))) (.f64 (.f64 z (neg.f64 t)) (/.f64 y x))) x)
(.f64 #s(approx ( t (* y (- 1 (/ z x)))) (.f64 (.f64 (/.f64 (neg.f64 z) x) y) t)) x)
#s(approx (* t (* y (- 1 (/ z x)))) (.f64 (.f64 z (neg.f64 t)) (/.f64 y x)))
#s(approx (* t (* y (- 1 (/ z x)))) (.f64 (.f64 (/.f64 (neg.f64 z) x) y) t))
(.f64 (.f64 z (neg.f64 t)) (/.f64 y x))
(.f64 (.f64 (/.f64 (neg.f64 z) x) y) t)
(*.f64 z (neg.f64 t))
(*.f64 (neg.f64 t) z)
z
(neg.f64 t)
t
(/.f64 y x)
y
x
#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 t #s(approx (* y (- 1 (/ z x))) (*.f64 (/.f64 (neg.f64 z) x) y))) x))
#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 #s(approx ( y (- 1 (/ z x))) (.f64 (/.f64 (neg.f64 z) x) y)) (.f64 t x)))
(.f64 (.f64 t #s(approx (* y (- 1 (/ z x))) (*.f64 (/.f64 (neg.f64 z) x) y))) x)
(.f64 #s(approx ( y (- 1 (/ z x))) (.f64 (/.f64 (neg.f64 z) x) y)) (.f64 t x))
(.f64 t #s(approx ( y (- 1 (/ z x))) (*.f64 (/.f64 (neg.f64 z) x) y)))
(.f64 #s(approx ( y (- 1 (/ z x))) (*.f64 (/.f64 (neg.f64 z) x) y)) t)
t
#s(approx (* y (- 1 (/ z x))) (*.f64 (/.f64 (neg.f64 z) x) y))
(*.f64 (/.f64 (neg.f64 z) x) y)
(/.f64 (neg.f64 z) x)
(neg.f64 z)
z
x
y

localize285.0ms (3.4%)

Memory

-38.3MiB live, 191.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.29040031147389367	(.f64 t #s(approx ( y (- 1 (/ z x))) (*.f64 (/.f64 (neg.f64 z) x) y)))
accuracy	2.918798835148912	(*.f64 (/.f64 (neg.f64 z) x) y)
accuracy	5.869659236459118	(.f64 (.f64 t #s(approx (* y (- 1 (/ z x))) (*.f64 (/.f64 (neg.f64 z) x) y))) x)
accuracy	30.93183895415759	#s(approx (* y (- 1 (/ z x))) (*.f64 (/.f64 (neg.f64 z) x) y))
accuracy	0	#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 #s(approx ( t (* y (- 1 (/ z x)))) (.f64 (.f64 z (neg.f64 t)) (/.f64 y x))) x))
accuracy	5.869659236459118	(.f64 #s(approx ( t (* y (- 1 (/ z x)))) (.f64 (.f64 z (neg.f64 t)) (/.f64 y x))) x)
accuracy	8.81957774133002	(.f64 (.f64 z (neg.f64 t)) (/.f64 y x))
accuracy	27.423112199770213	#s(approx (* t (* y (- 1 (/ z x)))) (.f64 (.f64 z (neg.f64 t)) (/.f64 y x)))
accuracy	0.0625	(.f64 t #s(approx ( y (- (/ x z) 1)) (*.f64 (/.f64 x z) y)))
accuracy	3.906666337584509	(*.f64 (/.f64 x z) y)
accuracy	5.025857830206233	(.f64 (.f64 t #s(approx (* y (- (/ x z) 1)) (*.f64 (/.f64 x z) y))) z)
accuracy	31.043566655255265	#s(approx (* y (- (/ x z) 1)) (*.f64 (/.f64 x z) y))
accuracy	0	(*.f64 t x)
accuracy	4.888954716104893	(.f64 (.f64 t x) y)
accuracy	27.92370066004754	#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 t x) y))
accuracy	0	(neg.f64 z)
accuracy	0.0078125	(*.f64 #s(approx (- x z) (neg.f64 z)) t)
accuracy	7.424021652039201	(.f64 (.f64 #s(approx (- x z) (neg.f64 z)) t) y)
accuracy	31.621598659267605	#s(approx (- x z) (neg.f64 z))

Samples

247.0ms

256×

valid

Compiler

Compiled 232 to 39 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 228.0ms

ival-mult: 191.0ms (83.8% of total)

ival-div: 23.0ms (10.1% of total)

ival-sub: 6.0ms (2.6% of total)

ival-pow2: 4.0ms (1.8% of total)

ival-neg: 2.0ms (0.9% of total)

ival-add: 1.0ms (0.4% of total)

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

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

exact: 0.0ms (0% of total)

series113.0ms (1.4%)

Memory

35.5MiB live, 268.3MiB allocated

Counts

21 → 852

Calls

Call 1

Inputs
#s(alt (.f64 (.f64 #s(approx (- x z) (neg.f64 z)) t) y) (patch (.f64 (.f64 #s(approx (- x z) (neg.f64 z)) t) y) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (- x z) (neg.f64 z)) t) (patch (.f64 #s(approx (- x z) (neg.f64 z)) t) #<representation binary64>) () ())
#s(alt #s(approx (- x z) (neg.f64 z)) (patch #s(approx (- x z) (neg.f64 z)) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt #s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 t x) y)) (patch #s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 t x) y)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 t x) y) (patch (.f64 (.f64 t x) y) #<representation binary64>) () ())
#s(alt (.f64 t x) (patch (.f64 t x) #<representation binary64>) () ())
#s(alt #s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 t #s(approx (* y (- (/ x z) 1)) (.f64 (/.f64 x z) y))) z)) (patch #s(approx ( (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 t #s(approx (* y (- (/ x z) 1)) (*.f64 (/.f64 x z) y))) z)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 t #s(approx (* y (- (/ x z) 1)) (.f64 (/.f64 x z) y))) z) (patch (.f64 (.f64 t #s(approx ( y (- (/ x z) 1)) (*.f64 (/.f64 x z) y))) z) #<representation binary64>) () ())
#s(alt (.f64 t #s(approx ( y (- (/ x z) 1)) (.f64 (/.f64 x z) y))) (patch (.f64 t #s(approx (* y (- (/ x z) 1)) (*.f64 (/.f64 x z) y))) #<representation binary64>) () ())
#s(alt #s(approx (* y (- (/ x z) 1)) (.f64 (/.f64 x z) y)) (patch #s(approx ( y (- (/ x z) 1)) (*.f64 (/.f64 x z) y)) #<representation binary64>) () ())
#s(alt #s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 #s(approx ( t (* y (- 1 (/ z x)))) (.f64 (.f64 z (neg.f64 t)) (/.f64 y x))) x)) (patch #s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 #s(approx ( t (* y (- 1 (/ z x)))) (.f64 (.f64 z (neg.f64 t)) (/.f64 y x))) x)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx ( t (* y (- 1 (/ z x)))) (.f64 (.f64 z (neg.f64 t)) (/.f64 y x))) x) (patch (.f64 #s(approx ( t (* y (- 1 (/ z x)))) (.f64 (.f64 z (neg.f64 t)) (/.f64 y x))) x) #<representation binary64>) () ())
#s(alt #s(approx (* t (* y (- 1 (/ z x)))) (.f64 (.f64 z (neg.f64 t)) (/.f64 y x))) (patch #s(approx (* t (* y (- 1 (/ z x)))) (.f64 (.f64 z (neg.f64 t)) (/.f64 y x))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 z (neg.f64 t)) (/.f64 y x)) (patch (.f64 (.f64 z (neg.f64 t)) (/.f64 y x)) #<representation binary64>) () ())
#s(alt #s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 t #s(approx (* y (- 1 (/ z x))) (.f64 (/.f64 (neg.f64 z) x) y))) x)) (patch #s(approx ( (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 t #s(approx (* y (- 1 (/ z x))) (*.f64 (/.f64 (neg.f64 z) x) y))) x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 t #s(approx (* y (- 1 (/ z x))) (.f64 (/.f64 (neg.f64 z) x) y))) x) (patch (.f64 (.f64 t #s(approx ( y (- 1 (/ z x))) (*.f64 (/.f64 (neg.f64 z) x) y))) x) #<representation binary64>) () ())
#s(alt (.f64 t #s(approx ( y (- 1 (/ z x))) (.f64 (/.f64 (neg.f64 z) x) y))) (patch (.f64 t #s(approx (* y (- 1 (/ z x))) (*.f64 (/.f64 (neg.f64 z) x) y))) #<representation binary64>) () ())
#s(alt #s(approx (* y (- 1 (/ z x))) (.f64 (/.f64 (neg.f64 z) x) y)) (patch #s(approx ( y (- 1 (/ z x))) (*.f64 (/.f64 (neg.f64 z) x) y)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 x z) y) (patch (.f64 (/.f64 x z) y) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (neg.f64 z) x) y) (patch (.f64 (/.f64 (neg.f64 z) x) y) #<representation binary64>) () ())

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

Calls

12 calls:

Time	Variable		Point	Expression
20.0ms	x	@	-inf	((* (* (- x z) t) y) (* (- x z) t) (- x z) (neg z) (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (* (* t x) y) (* t x) (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (* (* t (* y (- (/ x z) 1))) z) (* t (* y (- (/ x z) 1))) (* y (- (/ x z) 1)) (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (* (* t (* y (- 1 (/ z x)))) x) (* t (* y (- 1 (/ z x)))) (* (* z (neg t)) (/ y x)) (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (* (* t (* y (- 1 (/ z x)))) x) (* t (* y (- 1 (/ z x)))) (* y (- 1 (/ z x))) (* (/ x z) y) (* (/ (neg z) x) y))
10.0ms	z	@	inf	((* (* (- x z) t) y) (* (- x z) t) (- x z) (neg z) (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (* (* t x) y) (* t x) (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (* (* t (* y (- (/ x z) 1))) z) (* t (* y (- (/ x z) 1))) (* y (- (/ x z) 1)) (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (* (* t (* y (- 1 (/ z x)))) x) (* t (* y (- 1 (/ z x)))) (* (* z (neg t)) (/ y x)) (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (* (* t (* y (- 1 (/ z x)))) x) (* t (* y (- 1 (/ z x)))) (* y (- 1 (/ z x))) (* (/ x z) y) (* (/ (neg z) x) y))
7.0ms	y	@	inf	((* (* (- x z) t) y) (* (- x z) t) (- x z) (neg z) (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (* (* t x) y) (* t x) (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (* (* t (* y (- (/ x z) 1))) z) (* t (* y (- (/ x z) 1))) (* y (- (/ x z) 1)) (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (* (* t (* y (- 1 (/ z x)))) x) (* t (* y (- 1 (/ z x)))) (* (* z (neg t)) (/ y x)) (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (* (* t (* y (- 1 (/ z x)))) x) (* t (* y (- 1 (/ z x)))) (* y (- 1 (/ z x))) (* (/ x z) y) (* (/ (neg z) x) y))
7.0ms	y	@	-inf	((* (* (- x z) t) y) (* (- x z) t) (- x z) (neg z) (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (* (* t x) y) (* t x) (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (* (* t (* y (- (/ x z) 1))) z) (* t (* y (- (/ x z) 1))) (* y (- (/ x z) 1)) (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (* (* t (* y (- 1 (/ z x)))) x) (* t (* y (- 1 (/ z x)))) (* (* z (neg t)) (/ y x)) (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (* (* t (* y (- 1 (/ z x)))) x) (* t (* y (- 1 (/ z x)))) (* y (- 1 (/ z x))) (* (/ x z) y) (* (/ (neg z) x) y))
6.0ms	t	@	-inf	((* (* (- x z) t) y) (* (- x z) t) (- x z) (neg z) (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (* (* t x) y) (* t x) (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (* (* t (* y (- (/ x z) 1))) z) (* t (* y (- (/ x z) 1))) (* y (- (/ x z) 1)) (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (* (* t (* y (- 1 (/ z x)))) x) (* t (* y (- 1 (/ z x)))) (* (* z (neg t)) (/ y x)) (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (* (* t (* y (- 1 (/ z x)))) x) (* t (* y (- 1 (/ z x)))) (* y (- 1 (/ z x))) (* (/ x z) y) (* (/ (neg z) x) y))

simplify158.0ms (1.9%)

Memory

-15.2MiB live, 255.0MiB allocated

Algorithm

1×	egg-herbie

Rules

6 342×	`lower-fma.f64`
6 342×	`lower-fma.f32`
3 596×	`lower-*.f64`
3 596×	`lower-*.f32`
1 466×	`lower-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	127	7257
1	431	6753
2	1329	6753
3	3478	6561
4	6525	6369
0	8114	6369

Stop Event

1×	iter limit
1×	node limit

Counts

852 → 846

Calls

Call 1

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

rewrite165.0ms (2%)

Memory

-3.0MiB live, 288.0MiB allocated

Rules

5 428×	`lower-fma.f64`
5 428×	`lower-fma.f32`
4 882×	`lower-*.f32`
4 856×	`lower-*.f64`
4 840×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	324
0	67	324
1	224	324
2	1376	324
0	8577	324

Stop Event

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

Counts

21 → 190

Calls

Call 1

Inputs
(.f64 (.f64 #s(approx (- x z) (neg.f64 z)) t) y)
(*.f64 #s(approx (- x z) (neg.f64 z)) t)
#s(approx (- x z) (neg.f64 z))
(neg.f64 z)
#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 t x) y))
(.f64 (.f64 t x) y)
(*.f64 t x)
#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 t #s(approx (* y (- (/ x z) 1)) (*.f64 (/.f64 x z) y))) z))
(.f64 (.f64 t #s(approx (* y (- (/ x z) 1)) (*.f64 (/.f64 x z) y))) z)
(.f64 t #s(approx ( y (- (/ x z) 1)) (*.f64 (/.f64 x z) y)))
#s(approx (* y (- (/ x z) 1)) (*.f64 (/.f64 x z) y))
#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 #s(approx ( t (* y (- 1 (/ z x)))) (.f64 (.f64 z (neg.f64 t)) (/.f64 y x))) x))
(.f64 #s(approx ( t (* y (- 1 (/ z x)))) (.f64 (.f64 z (neg.f64 t)) (/.f64 y x))) x)
#s(approx (* t (* y (- 1 (/ z x)))) (.f64 (.f64 z (neg.f64 t)) (/.f64 y x)))
(.f64 (.f64 z (neg.f64 t)) (/.f64 y x))
#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 t #s(approx (* y (- 1 (/ z x))) (*.f64 (/.f64 (neg.f64 z) x) y))) x))
(.f64 (.f64 t #s(approx (* y (- 1 (/ z x))) (*.f64 (/.f64 (neg.f64 z) x) y))) x)
(.f64 t #s(approx ( y (- 1 (/ z x))) (*.f64 (/.f64 (neg.f64 z) x) y)))
#s(approx (* y (- 1 (/ z x))) (*.f64 (/.f64 (neg.f64 z) x) y))
(*.f64 (/.f64 x z) y)
(*.f64 (/.f64 (neg.f64 z) x) y)

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

eval263.0ms (3.2%)

Memory: 26.3MiB live, 258.0MiB allocated
Compiler: Compiled 12 069 to 1 079 computations (91.1% saved)

prune53.0ms (0.6%)

Memory

3.8MiB live, 85.5MiB allocated

Pruning

12 alts after pruning (1 fresh and 11 done)

	Pruned	Kept	Total
New	1 064	0	1 064
Fresh	0	1	1
Picked	0	5	5
Done	0	6	6
Total	1 064	12	1 076

Accuracy

100.0%

Counts

1 076 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.3%	(.f64 (/.f64 (.f64 #s(approx (* (* (+ z x) y) y) (.f64 (.f64 y x) y)) (-.f64 x z)) (*.f64 (+.f64 z x) y)) t)
✓	95.6%	(.f64 (-.f64 x z) (.f64 t y))
✓	97.9%	(.f64 (.f64 (-.f64 x z) y) t)
✓	52.8%	(.f64 (.f64 #s(approx (- x z) (neg.f64 z)) t) y)
✓	57.4%	(.f64 #s(approx (- ( x y) (* z y)) (*.f64 (neg.f64 z) y)) t)
✓	55.1%	(.f64 #s(approx (- ( x y) (* z y)) (*.f64 y x)) t)
✓	58.0%	(.f64 #s(approx (- x z) (neg.f64 z)) (.f64 t y))
✓	56.5%	#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 y t) x))
✓	47.3%	#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 t #s(approx (* y (- (/ x z) 1)) (*.f64 (/.f64 x z) y))) z))
✓	49.0%	#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 t #s(approx (* y (- 1 (/ z x))) (*.f64 (/.f64 (neg.f64 z) x) y))) x))
✓	50.7%	#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 t x) y))
✓	47.3%	#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 #s(approx ( t (* y (- 1 (/ z x)))) (.f64 (.f64 z (neg.f64 t)) (/.f64 y x))) x))

Compiler

Compiled 395 to 219 computations (44.6% saved)

regimes50.0ms (0.6%)

Memory

-1.7MiB live, 73.7MiB allocated

Counts

24 → 1

Calls

Call 1

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

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

Calls

6 calls:

11.0ms	(-.f64 (.f64 x y) (.f64 z y))
10.0ms	z
7.0ms	t
7.0ms	y
7.0ms	x

Results

Accuracy	Segments	Branch
97.9%	1	`x`
97.9%	1	`y`
97.9%	1	`z`
97.9%	1	`t`
97.9%	1	`(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)`
97.9%	1	`(-.f64 (.f64 x y) (.f64 z y))`

Compiler

Compiled 20 to 31 computations (-55% saved)

regimes47.0ms (0.6%)

Memory

-8.4MiB live, 29.3MiB allocated

Counts

9 → 3

Calls

Call 1

Inputs
#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 t x) y))
#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 y t) x))
(.f64 #s(approx (- ( x y) (* z y)) (*.f64 y x)) t)
#s(approx (* (- (* x y) (* z y)) t) (.f64 (.f64 (neg.f64 t) z) y))
#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 (neg.f64 t) z) y))
(.f64 #s(approx (- x z) (neg.f64 z)) (.f64 t y))
(.f64 #s(approx (- ( x y) (* z y)) (*.f64 (neg.f64 z) y)) t)
(.f64 (.f64 #s(approx (- x z) (neg.f64 z)) t) y)
(.f64 (.f64 (-.f64 x z) t) y)

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

Calls

6 calls:

29.0ms	(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)
4.0ms	y
4.0ms	x
3.0ms	t
3.0ms	z

Results

Accuracy	Segments	Branch
93.2%	3	`x`
88.4%	1	`y`
90.1%	2	`z`
88.4%	1	`t`
88.4%	1	`(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)`
88.4%	1	`(-.f64 (.f64 x y) (.f64 z y))`

Compiler

Compiled 20 to 31 computations (-55% saved)

regimes55.0ms (0.7%)

Memory

9.5MiB live, 59.5MiB allocated

Counts

8 → 3

Calls

Call 1

Inputs
#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 t x) y))
#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 y t) x))
(.f64 #s(approx (- ( x y) (* z y)) (*.f64 y x)) t)
#s(approx (* (- (* x y) (* z y)) t) (.f64 (.f64 (neg.f64 t) z) y))
#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 (neg.f64 t) z) y))
(.f64 #s(approx (- x z) (neg.f64 z)) (.f64 t y))
(.f64 #s(approx (- ( x y) (* z y)) (*.f64 (neg.f64 z) y)) t)
(.f64 (.f64 #s(approx (- x z) (neg.f64 z)) t) y)

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

Calls

6 calls:

24.0ms	(-.f64 (.f64 x y) (.f64 z y))
17.0ms	(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)
3.0ms	z
3.0ms	t
3.0ms	x

Results

Accuracy	Segments	Branch
66.2%	4	`t`
68.7%	5	`(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)`
64.5%	3	`(-.f64 (.f64 x y) (.f64 z y))`
67.1%	5	`y`
83.0%	3	`z`
79.2%	3	`x`

Compiler

Compiled 20 to 31 computations (-55% saved)

regimes5.0ms (0.1%)

Memory

-25.9MiB live, 11.6MiB allocated

Counts

6 → 3

Calls

Call 1

Inputs
#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 t x) y))
#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 y t) x))
(.f64 #s(approx (- ( x y) (* z y)) (*.f64 y x)) t)
#s(approx (* (- (* x y) (* z y)) t) (.f64 (.f64 (neg.f64 t) z) y))
#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 (neg.f64 t) z) y))
(.f64 #s(approx (- x z) (neg.f64 z)) (.f64 t y))

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
82.4%	3	`z`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes5.0ms (0.1%)

Memory

16.3MiB live, 16.3MiB allocated

Counts

5 → 3

Calls

Call 1

Inputs
#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 t x) y))
#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 y t) x))
(.f64 #s(approx (- ( x y) (* z y)) (*.f64 y x)) t)
#s(approx (* (- (* x y) (* z y)) t) (.f64 (.f64 (neg.f64 t) z) y))
#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 (neg.f64 t) z) y))

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

Calls

2 calls:

2.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
75.2%	3	`x`
77.9%	3	`z`

Compiler

Compiled 2 to 8 computations (-300% saved)

regimes14.0ms (0.2%)

Memory

-2.2MiB live, 36.2MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (*.f64 (*.f64 t x) y))

#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (*.f64 (*.f64 y t) x))

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

Outputs
(.f64 #s(approx (- ( x y) (* z y)) (*.f64 y x)) t)
#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 y t) x))

Calls

6 calls:

4.0ms	x
2.0ms	z
2.0ms	(-.f64 (.f64 x y) (.f64 z y))
2.0ms	t
2.0ms	y

Results

Accuracy	Segments	Branch
58.5%	2	`y`
56.5%	1	`(-.f64 (.f64 x y) (.f64 z y))`
59.2%	2	`t`
56.5%	1	`(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)`
58.1%	2	`x`
56.5%	1	`z`

Compiler

Compiled 20 to 31 computations (-55% saved)

regimes2.0ms (0%)

Memory

4.6MiB live, 4.6MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 t x) y))
#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 y t) x))

Outputs
#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 t x) y))
#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 y t) x))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
59.2%	2	`t`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes9.0ms (0.1%)

Memory

-17.9MiB live, 21.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 t x) y))

Outputs
#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 t x) y))

Calls

6 calls:

2.0ms	(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)
1.0ms	y
1.0ms	t
1.0ms	x
1.0ms	(-.f64 (.f64 x y) (.f64 z y))

Results

Accuracy	Segments	Branch
50.7%	1	`z`
50.7%	1	`(-.f64 (.f64 x y) (.f64 z y))`
50.7%	1	`(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)`
50.7%	1	`x`
50.7%	1	`y`
50.7%	1	`t`

Compiler

Compiled 20 to 31 computations (-55% saved)

bsearch28.0ms (0.3%)

Memory

0.6MiB live, 43.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	8.529352291178708e+223	1.3198712520180211e+228
13.0ms	-8.860771994624407e+209	-9.784331780419176e+199

Samples

13.0ms

288×

valid

Compiler

Compiled 246 to 303 computations (-23.2% saved)

Precisions

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

ival-mult: 5.0ms (77.4% of total)

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

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

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

bsearch22.0ms (0.3%)

Memory

-0.7MiB live, 37.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.0051080445313627e-32	6.38029555882271e-30
8.0ms	-3.2841987865126564e-26	-6.170992854018345e-27

Samples

11.0ms

224×

valid

Compiler

Compiled 194 to 253 computations (-30.4% saved)

Precisions

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

ival-mult: 4.0ms (78.2% of total)

ival-sub: 1.0ms (19.6% of total)

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

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

bsearch7.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.0051080445313627e-32	6.38029555882271e-30
5.0ms	-3.2841987865126564e-26	-6.170992854018345e-27

Samples

3.0ms

64×

valid

Compiler

Compiled 194 to 253 computations (-30.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-mult: 1.0ms (68.8% of total)

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

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

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

bsearch1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.0051080445313627e-32	6.38029555882271e-30
0.0ms	-3.2841987865126564e-26	-6.170992854018345e-27

Compiler

Compiled 194 to 253 computations (-30.4% saved)

bsearch5.0ms (0.1%)

Memory

5.1MiB live, 5.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
4.0ms	1.3924947219945793e+50	2.0821057766940717e+50

Samples

2.0ms

48×

valid

Compiler

Compiled 48 to 63 computations (-31.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-mult: 1.0ms (88.6% of total)

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

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

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

bsearch2.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
1.0ms	1.4763763939079827e-6	3.7542505576691043e-6

Samples

1.0ms

16×

valid

Compiler

Compiled 24 to 31 computations (-29.2% saved)

Precisions

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

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

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

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

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

simplify28.0ms (0.3%)

Memory

0.2MiB live, 38.6MiB allocated

Algorithm

1×	egg-herbie

Rules

48×	`-commutative-binary64-.f64`
14×	`neg-sub0-binary64--.f64-neg.f64`
14×	`+-commutative-binary64-+.f64`
14×	`neg-mul-1-binary64-*.f64-neg.f64`
14×	`sub-neg-binary64-neg.f64-+.f64--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	312
1	93	312
2	113	312
3	131	312
4	137	312
5	139	312

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (.f64 (-.f64 x z) y) t)
(if (<=.f64 x #s(literal -1199999999999999986522929450075953371811213517954599075970041818608351134188342402133312363352008278142231046414667706945777911356908857483698304646334511486976918339594868614134477055762597110375224705024 binary64)) (.f64 #s(approx (- ( x y) (* z y)) (.f64 y x)) t) (if (<=.f64 x #s(literal 15499999999999998808850839992172832381305459572918536745090063748086201603564833353238517238868269637322916516728304309659335623277807996490563750720640915697160829017332447720378753356074906168284003041265617177652876604866560 binary64)) (.f64 (.f64 (-.f64 x z) t) y) (.f64 #s(approx (- (* x y) (* z y)) (*.f64 y x)) t)))
(if (<=.f64 z #s(literal -8711228593176025/696898287454081973172991196020261297061888 binary64)) (.f64 #s(approx (- ( x y) (* z y)) (.f64 (neg.f64 z) y)) t) (if (<=.f64 z #s(literal 178405961588245/178405961588244985132285746181186892047843328 binary64)) (.f64 #s(approx (- (* x y) (* z y)) (.f64 y x)) t) (.f64 #s(approx (- (* x y) (* z y)) (*.f64 (neg.f64 z) y)) t)))
(if (<=.f64 z #s(literal -8920298079412249/1393796574908163946345982392040522594123776 binary64)) (.f64 #s(approx (- x z) (neg.f64 z)) (.f64 t y)) (if (<=.f64 z #s(literal 178405961588245/178405961588244985132285746181186892047843328 binary64)) (.f64 #s(approx (- ( x y) (* z y)) (.f64 y x)) t) (.f64 #s(approx (- x z) (neg.f64 z)) (*.f64 t y))))
(if (<=.f64 z #s(literal -8920298079412249/1393796574908163946345982392040522594123776 binary64)) #s(approx (* (- (* x y) (* z y)) t) (.f64 (.f64 (neg.f64 t) z) y)) (if (<=.f64 z #s(literal 178405961588245/178405961588244985132285746181186892047843328 binary64)) (.f64 #s(approx (- ( x y) (* z y)) (.f64 y x)) t) #s(approx ( (- (* x y) (* z y)) t) (.f64 (.f64 (neg.f64 t) z) y))))
(if (<=.f64 t #s(literal 159999999999999991438444311607708691149958636634112 binary64)) (.f64 #s(approx (- ( x y) (* z y)) (.f64 y x)) t) #s(approx ( (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 y t) x)))
(if (<=.f64 t #s(literal 4722366482869645/2361183241434822606848 binary64)) #s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 t x) y)) #s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 y t) x)))
#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 t x) y))

Outputs
(.f64 (.f64 (-.f64 x z) y) t)
(.f64 t (.f64 y (-.f64 x z)))
(if (<=.f64 x #s(literal -1199999999999999986522929450075953371811213517954599075970041818608351134188342402133312363352008278142231046414667706945777911356908857483698304646334511486976918339594868614134477055762597110375224705024 binary64)) (.f64 #s(approx (- ( x y) (* z y)) (.f64 y x)) t) (if (<=.f64 x #s(literal 15499999999999998808850839992172832381305459572918536745090063748086201603564833353238517238868269637322916516728304309659335623277807996490563750720640915697160829017332447720378753356074906168284003041265617177652876604866560 binary64)) (.f64 (.f64 (-.f64 x z) t) y) (.f64 #s(approx (- (* x y) (* z y)) (*.f64 y x)) t)))
(if (<=.f64 x #s(literal -1199999999999999986522929450075953371811213517954599075970041818608351134188342402133312363352008278142231046414667706945777911356908857483698304646334511486976918339594868614134477055762597110375224705024 binary64)) (.f64 #s(approx (- ( x y) (* z y)) (.f64 y x)) t) (if (<=.f64 x #s(literal 15499999999999998808850839992172832381305459572918536745090063748086201603564833353238517238868269637322916516728304309659335623277807996490563750720640915697160829017332447720378753356074906168284003041265617177652876604866560 binary64)) (.f64 (.f64 t (-.f64 x z)) y) (.f64 #s(approx (- (* x y) (* z y)) (*.f64 y x)) t)))
(if (<=.f64 z #s(literal -8711228593176025/696898287454081973172991196020261297061888 binary64)) (.f64 #s(approx (- ( x y) (* z y)) (.f64 (neg.f64 z) y)) t) (if (<=.f64 z #s(literal 178405961588245/178405961588244985132285746181186892047843328 binary64)) (.f64 #s(approx (- (* x y) (* z y)) (.f64 y x)) t) (.f64 #s(approx (- (* x y) (* z y)) (*.f64 (neg.f64 z) y)) t)))
(if (<=.f64 z #s(literal -8920298079412249/1393796574908163946345982392040522594123776 binary64)) (.f64 #s(approx (- x z) (neg.f64 z)) (.f64 t y)) (if (<=.f64 z #s(literal 178405961588245/178405961588244985132285746181186892047843328 binary64)) (.f64 #s(approx (- ( x y) (* z y)) (.f64 y x)) t) (.f64 #s(approx (- x z) (neg.f64 z)) (*.f64 t y))))
(if (<=.f64 z #s(literal -8920298079412249/1393796574908163946345982392040522594123776 binary64)) (.f64 (.f64 t y) #s(approx (- x z) (neg.f64 z))) (if (<=.f64 z #s(literal 178405961588245/178405961588244985132285746181186892047843328 binary64)) (.f64 #s(approx (- ( x y) (* z y)) (.f64 y x)) t) (.f64 (*.f64 t y) #s(approx (- x z) (neg.f64 z)))))
(if (<=.f64 z #s(literal -8920298079412249/1393796574908163946345982392040522594123776 binary64)) #s(approx (* (- (* x y) (* z y)) t) (.f64 (.f64 (neg.f64 t) z) y)) (if (<=.f64 z #s(literal 178405961588245/178405961588244985132285746181186892047843328 binary64)) (.f64 #s(approx (- ( x y) (* z y)) (.f64 y x)) t) #s(approx ( (- (* x y) (* z y)) t) (.f64 (.f64 (neg.f64 t) z) y))))
(if (<=.f64 t #s(literal 159999999999999991438444311607708691149958636634112 binary64)) (.f64 #s(approx (- ( x y) (* z y)) (.f64 y x)) t) #s(approx ( (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 y t) x)))
(if (<=.f64 t #s(literal 159999999999999991438444311607708691149958636634112 binary64)) (.f64 #s(approx (- ( x y) (* z y)) (.f64 y x)) t) #s(approx ( (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 t y) x)))
(if (<=.f64 t #s(literal 4722366482869645/2361183241434822606848 binary64)) #s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 t x) y)) #s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 y t) x)))
(if (<=.f64 t #s(literal 4722366482869645/2361183241434822606848 binary64)) #s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 t x) y)) #s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 t y) x)))
#s(approx (* (- (pow (* y x) 2) (pow (* z y) 2)) (/ t (* (+ z x) y))) (.f64 (.f64 t x) y))

soundness1.1s (13.1%)

Memory

8.8MiB live, 633.9MiB allocated

Rules

11 204×	`lower-fma.f64`
11 204×	`lower-fma.f32`
7 244×	`lower-fma.f64`
7 244×	`lower-fma.f32`
5 324×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	798
1	194	666
2	574	666
3	2066	666
4	4663	666
5	6788	666
6	7422	666
7	7874	666
0	8135	666
0	42	224
0	64	224
1	216	224
2	1487	224
0	8160	224
0	233	5060
1	789	4710
2	2583	4510
3	6926	4506
0	8205	4492
0	8	22
0	12	18
1	35	18
2	237	18
3	2343	18
0	8272	18

Stop Event

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

Compiler

Compiled 391 to 242 computations (38.1% saved)

preprocess465.0ms (5.6%)

Memory: -2.0MiB live, 306.2MiB allocated
Compiler: Compiled 472 to 238 computations (49.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (13.3%)

explain139.0ms (1.7%)

preprocess129.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify117.0ms (1.4%)

localize99.0ms (1.2%)

series12.0ms (0.1%)

simplify164.0ms (2%)

rewrite238.0ms (2.9%)

eval82.0ms (1%)

prune132.0ms (1.6%)

simplify161.0ms (1.9%)

localize67.0ms (0.8%)

series67.0ms (0.8%)

simplify182.0ms (2.2%)

rewrite262.0ms (3.2%)

eval305.0ms (3.7%)

prune385.0ms (4.6%)

simplify174.0ms (2.1%)

localize114.0ms (1.4%)

series93.0ms (1.1%)

simplify448.0ms (5.4%)

rewrite182.0ms (2.2%)

eval227.0ms (2.7%)

prune154.0ms (1.9%)

simplify377.0ms (4.6%)

localize285.0ms (3.4%)

series113.0ms (1.4%)

simplify158.0ms (1.9%)

rewrite165.0ms (2%)

eval263.0ms (3.2%)

prune53.0ms (0.6%)

regimes50.0ms (0.6%)

regimes47.0ms (0.6%)

regimes55.0ms (0.7%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes14.0ms (0.2%)

regimes2.0ms (0%)

regimes9.0ms (0.1%)

bsearch28.0ms (0.3%)

bsearch22.0ms (0.3%)

bsearch7.0ms (0.1%)

bsearch1.0ms (0%)

bsearch5.0ms (0.1%)

bsearch2.0ms (0%)

simplify28.0ms (0.3%)

soundness1.1s (13.1%)

preprocess465.0ms (5.6%)

end0.0ms (0%)

Profiling