Metrics for Linear.Projection:inverseInfinitePerspective from linear-1.19.1.3

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.9MiB live, 0.9MiB 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)

sample1.2s (13.2%)

Memory

6.3MiB live, 1 133.8MiB allocated

Samples

893.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 515.0ms

ival-mult: 461.0ms (89.4% of total)

ival-sub: 44.0ms (8.5% of total)

ival-true: 7.0ms (1.4% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

explain268.0ms (2.9%)

Memory

-24.2MiB live, 208.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
17	-	-	`(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)`
2	-	-	`(-.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**	12	0
`*.f64`	`(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)`	*nu**	5	0
`-.f64`	`(-.f64 (.f64 x y) (.f64 z y))`	nan-rescue	2	0
↳	`(*.f64 x y)`	overflow	27
↳	`(*.f64 z y)`	overflow	23

Confusion

	Predicted +	Predicted -
+	19	0
-	0	237

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	19	0	0
-	0	0	237

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	237
1	19

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

71.0ms

512×

valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-mult: 52.0ms (93.9% of total)

ival-sub: 2.0ms (3.6% of total)

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

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

preprocess122.0ms (1.3%)

Memory

3.4MiB live, 98.6MiB 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)

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.7%	(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify32.0ms (0.4%)

Memory

-1.9MiB live, 35.8MiB 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

localize18.0ms (0.2%)

Memory

17.1MiB live, 17.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 z y)
accuracy	0	(*.f64 x y)
accuracy	0.20312500000000003	(-.f64 (.f64 x y) (.f64 z y))
accuracy	1.8308310370503575	(.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 (83.2% of total)

ival-sub: 1.0ms (16.6% of total)

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

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

series23.0ms (0.3%)

Memory

-27.3MiB live, 11.6MiB 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
12.0ms	z	@	0	((- (* x y) (* z y)) (* (- (* x y) (* z y)) t) (* x y) (* z y))
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	y	@	inf	((- (* x y) (* z y)) (* (- (* x y) (* z y)) t) (* x y) (* z y))

simplify183.0ms (2%)

Memory

29.8MiB live, 107.3MiB 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)

rewrite298.0ms (3.3%)

Memory

0.6MiB live, 351.8MiB 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)))

eval194.0ms (2.1%)

Memory: -8.1MiB live, 119.2MiB allocated
Compiler: Compiled 10 918 to 1 062 computations (90.3% saved)

prune21.0ms (0.2%)

Memory

14.1MiB live, 52.6MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	410	12	422
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	411	12	423

Accuracy

100.0%

Counts

423 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.2%	(/.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))))
	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)))
▶	97.1%	(/.f64 t (pow.f64 (*.f64 (-.f64 x z) y) #s(literal -1 binary64)))
▶	63.2%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 z x) y) (.f64 (.f64 (+.f64 z x) y) (.f64 (*.f64 (-.f64 x z) t) y))))
	65.3%	(.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)))
▶	91.7%	(.f64 (-.f64 x z) (.f64 t y))
	89.8%	(.f64 (.f64 (-.f64 x z) t) y)
	62.4%	(.f64 (.f64 (.f64 (+.f64 z x) y) (.f64 (.f64 (-.f64 x z) t) y)) (pow.f64 (.f64 (+.f64 z x) y) #s(literal -1 binary64)))
	94.1%	(.f64 #s(approx (- ( x y) (* z y)) (.f64 (-.f64 (/.f64 (.f64 y x) z) y) z)) t)
▶	55.2%	(.f64 #s(approx (- ( x y) (* z y)) (*.f64 (neg.f64 z) y)) t)
▶	51.8%	(.f64 #s(approx (- ( x y) (* z y)) (*.f64 y x)) t)
	51.6%	#s(approx (* (- (* x y) (* z y)) t) (.f64 (.f64 (neg.f64 t) z) y))

Compiler

Compiled 330 to 260 computations (21.2% saved)

simplify90.0ms (1%)

Memory

-16.6MiB live, 104.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 z x)
cost-diff	0	(*.f64 (+.f64 z x) y)
cost-diff	960	(/.f64 (.f64 (+.f64 z x) y) (.f64 (.f64 (+.f64 z x) y) (.f64 (*.f64 (-.f64 x z) t) y)))
cost-diff	1792	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 z x) y) (.f64 (.f64 (+.f64 z x) y) (.f64 (*.f64 (-.f64 x z) t) y))))
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	(pow.f64 (*.f64 (-.f64 x z) y) #s(literal -1 binary64))
cost-diff	6848	(/.f64 t (pow.f64 (*.f64 (-.f64 x z) y) #s(literal -1 binary64)))

Rules

4 368×	`lower-*.f32`
4 346×	`lower-*.f64`
2 252×	`lower-/.f32`
2 246×	`lower-/.f64`
1 896×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	192
0	47	176
1	83	166
2	229	158
3	1161	158
0	8113	158

Stop Event

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

Calls

Call 1

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

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

localize101.0ms (1.1%)

Memory

-9.9MiB live, 183.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.16796875	(.f64 (.f64 (+.f64 z x) y) (.f64 (.f64 (-.f64 x z) t) y))
accuracy	0.18359375	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 z x) y) (.f64 (.f64 (+.f64 z x) y) (.f64 (*.f64 (-.f64 x z) t) y))))
accuracy	6.5335612039503665	(.f64 (.f64 (-.f64 x z) t) y)
accuracy	18.071215437823376	(/.f64 (.f64 (+.f64 z x) y) (.f64 (.f64 (+.f64 z x) y) (.f64 (*.f64 (-.f64 x z) t) y)))
accuracy	0	(-.f64 x z)
accuracy	0	(*.f64 t y)
accuracy	5.2989292377659165	(.f64 (-.f64 x z) (.f64 t y))
accuracy	0	(*.f64 (neg.f64 z) y)
accuracy	0	(neg.f64 z)
accuracy	1.8308310370503575	(.f64 #s(approx (- ( x y) (* z y)) (*.f64 (neg.f64 z) y)) t)
accuracy	29.057437427687905	#s(approx (- (* x y) (* z y)) (*.f64 (neg.f64 z) y))
accuracy	0	(*.f64 y x)
accuracy	1.8308310370503575	(.f64 #s(approx (- ( x y) (* z y)) (*.f64 y x)) t)
accuracy	30.316398289643658	#s(approx (- (* x y) (* z y)) (*.f64 y x))
accuracy	0	(-.f64 x z)
accuracy	0.0078125	(*.f64 (-.f64 x z) y)
accuracy	0.3662850848024277	(pow.f64 (*.f64 (-.f64 x z) y) #s(literal -1 binary64))
accuracy	1.8230185370503575	(/.f64 t (pow.f64 (*.f64 (-.f64 x z) y) #s(literal -1 binary64)))

Samples

82.0ms

256×

valid

Compiler

Compiled 176 to 28 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-mult: 40.0ms (73.1% of total)

ival-div: 5.0ms (9.1% of total)

ival-pow: 4.0ms (7.3% of total)

ival-sub: 3.0ms (5.5% of total)

ival-add: 1.0ms (1.8% of total)

ival-neg: 1.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

series61.0ms (0.7%)

Memory

23.3MiB live, 142.0MiB allocated

Counts

19 → 696

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
7.0ms	y	@	-inf	((/ t (pow (* (- x z) y) -1)) (pow (* (- x z) y) -1) (* (- 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) (/ 1 (/ (* (+ z x) y) (* (* (+ z x) y) (* (* (- x z) t) y)))) (/ (* (+ z x) y) (* (* (+ z x) y) (* (* (- x z) t) y))) (* (+ z x) y) (+ z x) (* (* (- x z) t) y) (* (* (+ z x) y) (* (* (- x z) t) y)))
5.0ms	z	@	-inf	((/ t (pow (* (- x z) y) -1)) (pow (* (- x z) y) -1) (* (- 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) (/ 1 (/ (* (+ z x) y) (* (* (+ z x) y) (* (* (- x z) t) y)))) (/ (* (+ z x) y) (* (* (+ z x) y) (* (* (- x z) t) y))) (* (+ z x) y) (+ z x) (* (* (- x z) t) y) (* (* (+ z x) y) (* (* (- x z) t) y)))
4.0ms	t	@	0	((/ t (pow (* (- x z) y) -1)) (pow (* (- x z) y) -1) (* (- 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) (/ 1 (/ (* (+ z x) y) (* (* (+ z x) y) (* (* (- x z) t) y)))) (/ (* (+ z x) y) (* (* (+ z x) y) (* (* (- x z) t) y))) (* (+ z x) y) (+ z x) (* (* (- x z) t) y) (* (* (+ z x) y) (* (* (- x z) t) y)))
4.0ms	z	@	0	((/ t (pow (* (- x z) y) -1)) (pow (* (- x z) y) -1) (* (- 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) (/ 1 (/ (* (+ z x) y) (* (* (+ z x) y) (* (* (- x z) t) y)))) (/ (* (+ z x) y) (* (* (+ z x) y) (* (* (- x z) t) y))) (* (+ z x) y) (+ z x) (* (* (- x z) t) y) (* (* (+ z x) y) (* (* (- x z) t) y)))
3.0ms	y	@	inf	((/ t (pow (* (- x z) y) -1)) (pow (* (- x z) y) -1) (* (- 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) (/ 1 (/ (* (+ z x) y) (* (* (+ z x) y) (* (* (- x z) t) y)))) (/ (* (+ z x) y) (* (* (+ z x) y) (* (* (- x z) t) y))) (* (+ z x) y) (+ z x) (* (* (- x z) t) y) (* (* (+ z x) y) (* (* (- x z) t) y)))

simplify140.0ms (1.5%)

Memory

-0.1MiB live, 196.2MiB allocated

Algorithm

1×	egg-herbie

Rules

4 960×	`lower-fma.f64`
4 960×	`lower-fma.f32`
4 562×	`lower-*.f64`
4 562×	`lower-*.f32`
2 412×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	411	6070
1	1358	5762
2	4502	5661
0	8233	5607

Stop Event

1×	iter limit
1×	node limit

Counts

696 → 687

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

rewrite552.0ms (6.1%)

Memory

9.0MiB live, 287.2MiB allocated

Rules

6 182×	`lower-*.f32`
6 160×	`lower-*.f64`
4 150×	`lower-fma.f64`
4 150×	`lower-fma.f32`
3 686×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	161
0	47	145
1	148	127
2	953	127
0	8635	127

Stop Event

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

Counts

19 → 1 736

Calls

Call 1

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

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

eval653.0ms (7.2%)

Memory: -1.7MiB live, 740.0MiB allocated
Compiler: Compiled 59 771 to 5 278 computations (91.2% saved)

prune86.0ms (0.9%)

Memory

-4.3MiB live, 179.7MiB allocated

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	2 775	11	2 786
Fresh	6	1	7
Picked	2	3	5
Done	0	0	0
Total	2 783	15	2 798

Accuracy

100.0%

Counts

2 798 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.7%	(/.f64 (.f64 (.f64 y (.f64 (.f64 (+.f64 z x) y) t)) (-.f64 x z)) (*.f64 (+.f64 z x) y))
	63.5%	(/.f64 t (/.f64 (.f64 (+.f64 z x) y) (.f64 (.f64 (.f64 (+.f64 z x) y) y) (-.f64 x z))))
	72.6%	(/.f64 t (/.f64 (.f64 (neg.f64 y) (+.f64 z x)) (.f64 (.f64 (neg.f64 y) (+.f64 z x)) (.f64 y (-.f64 x z)))))
	55.2%	(/.f64 t #s(approx (pow (* (- x z) y) -1) (/.f64 #s(literal -1 binary64) (*.f64 z y))))
▶	89.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 x z) t) y)))
✓	91.7%	(.f64 (-.f64 x z) (.f64 t y))
▶	89.8%	(.f64 (.f64 (-.f64 x z) t) y)
	68.3%	(.f64 (.f64 (.f64 (+.f64 z x) t) (.f64 y (-.f64 x z))) (/.f64 y (*.f64 (+.f64 z x) y)))
▶	89.6%	(.f64 #s(approx (- ( x y) (* z y)) (*.f64 (fma.f64 y (/.f64 x z) (neg.f64 y)) z)) t)
✓	55.2%	(.f64 #s(approx (- ( x y) (* z y)) (*.f64 (neg.f64 z) y)) t)
✓	51.8%	(.f64 #s(approx (- ( x y) (* z y)) (*.f64 y x)) t)
▶	51.4%	(.f64 #s(approx (- x z) (neg.f64 z)) (.f64 t y))
	85.4%	#s(approx (/ t (pow (* (- x z) y) -1)) (.f64 (fma.f64 (neg.f64 t) (/.f64 (.f64 z y) x) (*.f64 y t)) x))
	51.6%	#s(approx (/ t (pow (* (- x z) y) -1)) (.f64 (.f64 (neg.f64 t) z) y))
▶	51.5%	#s(approx (/ t (pow (* (- x z) y) -1)) (.f64 (.f64 y t) x))

Compiler

Compiled 320 to 254 computations (20.6% saved)

simplify101.0ms (1.1%)

Memory

-17.0MiB live, 92.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 x z)
cost-diff	0	(*.f64 (-.f64 x z) t)
cost-diff	0	(.f64 (.f64 (-.f64 x z) t) y)
cost-diff	7552	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 x z) t) y)))
cost-diff	0	(fma.f64 y (/.f64 x z) (neg.f64 y))
cost-diff	0	#s(approx (- (* x y) (* z y)) (*.f64 (fma.f64 y (/.f64 x z) (neg.f64 y)) z))
cost-diff	0	(.f64 #s(approx (- ( x y) (* z y)) (*.f64 (fma.f64 y (/.f64 x z) (neg.f64 y)) z)) t)
cost-diff	1024	(*.f64 (fma.f64 y (/.f64 x z) (neg.f64 y)) z)
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 (/ t (pow (* (- x z) y) -1)) (.f64 (.f64 y t) x))
cost-diff	0	(-.f64 x z)
cost-diff	0	(*.f64 (-.f64 x z) t)
cost-diff	0	(.f64 (.f64 (-.f64 x z) t) y)

Rules

3 358×	`lower-fma.f32`
3 356×	`lower-fma.f64`
2 920×	`lower-*.f32`
2 904×	`lower-*.f64`
1 726×	`lower-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	31	170
0	47	162
1	86	162
2	158	160
3	331	160
4	802	148
5	1478	148
6	3430	148
7	5235	148
8	7696	148
0	8024	148

Stop Event

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

Calls

Call 1

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

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

localize87.0ms (1%)

Memory

25.2MiB live, 143.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.015625	(*.f64 (-.f64 x z) t)
accuracy	0.18359375	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 x z) t) y)))
accuracy	0.6151358679054981	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 x z) t) y))
accuracy	6.5335612039503665	(.f64 (.f64 (-.f64 x z) t) y)
accuracy	0	#s(approx (- (* x y) (* z y)) (*.f64 (fma.f64 y (/.f64 x z) (neg.f64 y)) z))
accuracy	1.8308310370503575	(.f64 #s(approx (- ( x y) (* z y)) (*.f64 (fma.f64 y (/.f64 x z) (neg.f64 y)) z)) t)
accuracy	3.1645470308121273	(fma.f64 y (/.f64 x z) (neg.f64 y))
accuracy	3.655332340020821	(*.f64 (fma.f64 y (/.f64 x z) (neg.f64 y)) z)
accuracy	0	(*.f64 t y)
accuracy	0	(neg.f64 z)
accuracy	5.2989292377659165	(.f64 #s(approx (- x z) (neg.f64 z)) (.f64 t y))
accuracy	30.696233295929947	#s(approx (- x z) (neg.f64 z))
accuracy	0	(*.f64 y t)
accuracy	4.848013955179682	(.f64 (.f64 y t) x)
accuracy	30.398775295878796	#s(approx (/ t (pow (* (- x z) y) -1)) (.f64 (.f64 y t) x))
accuracy	0	(-.f64 x z)
accuracy	0.015625	(*.f64 (-.f64 x z) t)
accuracy	6.5335612039503665	(.f64 (.f64 (-.f64 x z) t) y)

Samples

71.0ms

256×

valid

Compiler

Compiled 142 to 30 computations (78.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-mult: 34.0ms (65.8% of total)

ival-div: 7.0ms (13.5% of total)

ival-pow: 4.0ms (7.7% of total)

ival-sub: 3.0ms (5.8% of total)

ival-neg: 2.0ms (3.9% of total)

ival-add: 1.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

series234.0ms (2.6%)

Memory

-22.7MiB live, 98.0MiB allocated

Counts

16 → 576

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
184.0ms	z	@	0	((* (* (- x z) t) y) (* (- x z) t) (- x z) (/ t (pow (* (- x z) y) -1)) (* (* y t) x) (* y t) (* (- x z) (* t y)) (- x z) (neg z) (* t y) (* (+ (* y (/ x z)) (neg y)) z) (* (- (* x y) (* z y)) t) (- (* x y) (* z y)) (+ (* y (/ x z)) (neg y)) (/ 1 (/ 1 (* (* (- x z) t) y))) (/ 1 (* (* (- x z) t) y)))
8.0ms	y	@	inf	((* (* (- x z) t) y) (* (- x z) t) (- x z) (/ t (pow (* (- x z) y) -1)) (* (* y t) x) (* y t) (* (- x z) (* t y)) (- x z) (neg z) (* t y) (* (+ (* y (/ x z)) (neg y)) z) (* (- (* x y) (* z y)) t) (- (* x y) (* z y)) (+ (* y (/ x z)) (neg y)) (/ 1 (/ 1 (* (* (- x z) t) y))) (/ 1 (* (* (- x z) t) y)))
7.0ms	x	@	-inf	((* (* (- x z) t) y) (* (- x z) t) (- x z) (/ t (pow (* (- x z) y) -1)) (* (* y t) x) (* y t) (* (- x z) (* t y)) (- x z) (neg z) (* t y) (* (+ (* y (/ x z)) (neg y)) z) (* (- (* x y) (* z y)) t) (- (* x y) (* z y)) (+ (* y (/ x z)) (neg y)) (/ 1 (/ 1 (* (* (- x z) t) y))) (/ 1 (* (* (- x z) t) y)))
3.0ms	y	@	-inf	((* (* (- x z) t) y) (* (- x z) t) (- x z) (/ t (pow (* (- x z) y) -1)) (* (* y t) x) (* y t) (* (- x z) (* t y)) (- x z) (neg z) (* t y) (* (+ (* y (/ x z)) (neg y)) z) (* (- (* x y) (* z y)) t) (- (* x y) (* z y)) (+ (* y (/ x z)) (neg y)) (/ 1 (/ 1 (* (* (- x z) t) y))) (/ 1 (* (* (- x z) t) y)))
2.0ms	t	@	-inf	((* (* (- x z) t) y) (* (- x z) t) (- x z) (/ t (pow (* (- x z) y) -1)) (* (* y t) x) (* y t) (* (- x z) (* t y)) (- x z) (neg z) (* t y) (* (+ (* y (/ x z)) (neg y)) z) (* (- (* x y) (* z y)) t) (- (* x y) (* z y)) (+ (* y (/ x z)) (neg y)) (/ 1 (/ 1 (* (* (- x z) t) y))) (/ 1 (* (* (- x z) t) y)))

simplify170.0ms (1.9%)

Memory

11.2MiB live, 204.8MiB allocated

Algorithm

1×	egg-herbie

Rules

6 830×	`lower-fma.f64`
6 830×	`lower-fma.f32`
4 560×	`lower-*.f64`
4 560×	`lower-*.f32`
3 470×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	246	4438
1	806	4270
2	2636	4104
3	7381	4104
0	8491	4095

Stop Event

1×	iter limit
1×	node limit

Counts

576 → 570

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

rewrite189.0ms (2.1%)

Memory

5.9MiB live, 171.0MiB allocated

Rules

4 410×	`lower-*.f32`
4 394×	`lower-*.f64`
4 380×	`lower-fma.f32`
4 378×	`lower-fma.f64`
3 446×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	131
0	47	123
1	160	121
2	923	121
0	8552	121

Stop Event

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

Counts

16 → 664

Calls

Call 1

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

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

eval255.0ms (2.8%)

Memory: 22.1MiB live, 359.1MiB allocated
Compiler: Compiled 23 298 to 2 469 computations (89.4% saved)

prune59.0ms (0.7%)

Memory

17.5MiB live, 179.3MiB allocated

Pruning

15 alts after pruning (9 fresh and 6 done)

	Pruned	Kept	Total
New	1 602	7	1 609
Fresh	5	2	7
Picked	2	3	5
Done	0	3	3
Total	1 609	15	1 624

Accuracy

100.0%

Counts

1 624 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.5%	(/.f64 t (/.f64 (.f64 (+.f64 z x) y) (.f64 (.f64 (.f64 (+.f64 z x) y) y) (-.f64 x z))))
	55.2%	(/.f64 t #s(approx (pow (* (- x z) y) -1) (/.f64 #s(literal -1 binary64) (*.f64 z y))))
▶	91.6%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 x z)) (*.f64 (neg.f64 t) y)))
▶	89.7%	(*.f64 (/.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (-.f64 x z))) y)
✓	91.7%	(.f64 (-.f64 x z) (.f64 t y))
✓	89.8%	(.f64 (.f64 (-.f64 x z) t) y)
	51.6%	(.f64 (.f64 #s(approx (- x z) (neg.f64 z)) t) y)
✓	55.2%	(.f64 #s(approx (- ( x y) (* z y)) (*.f64 (neg.f64 z) y)) t)
▶	49.0%	(.f64 #s(approx (- ( x y) (* z y)) (.f64 #s(approx (+ ( y (/ x z)) (neg y)) (/.f64 (*.f64 x y) z)) z)) t)
✓	51.8%	(.f64 #s(approx (- ( x y) (* z y)) (*.f64 y x)) t)
✓	51.4%	(.f64 #s(approx (- x z) (neg.f64 z)) (.f64 t y))
	78.9%	(.f64 #s(approx ( (- x z) t) (.f64 (.f64 t (-.f64 #s(literal 1 binary64) (/.f64 z x))) x)) y)
▶	49.0%	(.f64 #s(approx ( (- x z) t) (*.f64 x t)) y)
✓	51.5%	#s(approx (/ t (pow (* (- x z) y) -1)) (.f64 (.f64 y t) x))
▶	85.5%	#s(approx (/ t (pow (* (- x z) y) -1)) (.f64 (.f64 t (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z x)))) x))

Compiler

Compiled 234 to 222 computations (5.1% saved)

simplify127.0ms (1.4%)

Memory

-22.3MiB live, 108.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal -1 binary64) (-.f64 x z))
cost-diff	0	(neg.f64 t)
cost-diff	0	(*.f64 (/.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (-.f64 x z))) y)
cost-diff	1216	(/.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (-.f64 x z)))
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	#s(approx (/ t (pow (* (- x z) y) -1)) (.f64 (.f64 t (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z x)))) x))
cost-diff	1024	(.f64 (.f64 t (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z x)))) x)
cost-diff	0	#s(approx (+ (* y (/ x z)) (neg y)) (/.f64 (*.f64 x y) z))
cost-diff	0	(.f64 #s(approx (+ ( y (/ x z)) (neg y)) (/.f64 (*.f64 x y) z)) z)
cost-diff	0	#s(approx (- (* x y) (* z y)) (.f64 #s(approx (+ ( y (/ x z)) (neg y)) (/.f64 (*.f64 x y) z)) z))
cost-diff	0	(.f64 #s(approx (- ( x y) (* z y)) (.f64 #s(approx (+ ( y (/ x z)) (neg y)) (/.f64 (*.f64 x y) z)) z)) t)
cost-diff	0	(*.f64 x t)
cost-diff	0	#s(approx (* (- x z) t) (*.f64 x t))
cost-diff	0	(.f64 #s(approx ( (- x z) t) (*.f64 x t)) y)
cost-diff	0	(-.f64 x z)
cost-diff	0	(/.f64 #s(literal -1 binary64) (-.f64 x z))
cost-diff	128	(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 x z)) (*.f64 (neg.f64 t) y))
cost-diff	1792	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 x z)) (*.f64 (neg.f64 t) y)))

Rules

2 926×	`lower-fma.f64`
2 926×	`lower-fma.f32`
2 094×	`lower-*.f32`
2 074×	`lower-*.f64`
1 478×	`div-sub`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	41	254
0	60	249
1	112	243
2	257	228
3	811	228
4	3144	228
5	5517	224
6	7335	224
0	8097	224

Stop Event

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

Calls

Call 1

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

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

localize161.0ms (1.8%)

Memory

10.2MiB live, 199.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 t)
accuracy	0.01171875	(/.f64 #s(literal -1 binary64) (-.f64 x z))
accuracy	0.1796875	(/.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (-.f64 x z)))
accuracy	6.5335612039503665	(*.f64 (/.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) (-.f64 x z))) y)
accuracy	0.00390625	(-.f64 #s(literal 1 binary64) (/.f64 z x))
accuracy	0.078125	(.f64 t (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z x))))
accuracy	4.876887374729782	(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z x)))
accuracy	6.085350064466475	(.f64 (.f64 t (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z x)))) x)
accuracy	1.8308310370503575	(.f64 #s(approx (- ( x y) (* z y)) (.f64 #s(approx (+ ( y (/ x z)) (neg y)) (/.f64 (*.f64 x y) z)) z)) t)
accuracy	3.655332340020821	(.f64 #s(approx (+ ( y (/ x z)) (neg y)) (/.f64 (*.f64 x y) z)) z)
accuracy	4.178167493100313	(/.f64 (*.f64 x y) z)
accuracy	32.17586643950837	#s(approx (+ (* y (/ x z)) (neg y)) (/.f64 (*.f64 x y) z))
accuracy	0	(*.f64 x t)
accuracy	6.5335612039503665	(.f64 #s(approx ( (- x z) t) (*.f64 x t)) y)
accuracy	30.790240673786084	#s(approx (* (- x z) t) (*.f64 x t))
accuracy	0	(neg.f64 t)
accuracy	0.01171875	(/.f64 #s(literal -1 binary64) (-.f64 x z))
accuracy	0.18359375	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 x z)) (*.f64 (neg.f64 t) y)))
accuracy	5.554185836122066	(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 x z)) (*.f64 (neg.f64 t) y))

Samples

119.0ms

256×

valid

Compiler

Compiled 190 to 37 computations (80.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 100.0ms

ival-sub: 35.0ms (35.2% of total)

ival-mult: 34.0ms (34.2% of total)

ival-div: 13.0ms (13.1% of total)

ival-add: 11.0ms (11.1% of total)

ival-pow: 4.0ms (4% of total)

ival-neg: 2.0ms (2% of total)

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

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

exact: 0.0ms (0% of total)

series107.0ms (1.2%)

Memory

13.0MiB live, 161.5MiB allocated

Counts

20 → 744

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
32.0ms	z	@	-inf	((/ 1 (/ (/ -1 (- x z)) (* (neg t) y))) (/ (/ -1 (- x z)) (* (neg t) y)) (/ -1 (- x z)) (- x z) (* (* (- x z) t) y) (* (- x z) t) (* x t) (* (- (* x y) (* z y)) t) (- (* x y) (* z y)) (* (+ (* y (/ x z)) (neg y)) z) (+ (* y (/ x z)) (neg y)) (* (* t (* y (- 1 (/ z x)))) x) (/ t (pow (* (- x z) y) -1)) (* t (* y (- 1 (/ z x)))) (* y (- 1 (/ z x))) (/ (neg t) (/ -1 (- x z))) (* (/ (neg t) (/ -1 (- x z))) y) (neg t) (/ (* x y) z) (- 1 (/ z x)))
10.0ms	t	@	inf	((/ 1 (/ (/ -1 (- x z)) (* (neg t) y))) (/ (/ -1 (- x z)) (* (neg t) y)) (/ -1 (- x z)) (- x z) (* (* (- x z) t) y) (* (- x z) t) (* x t) (* (- (* x y) (* z y)) t) (- (* x y) (* z y)) (* (+ (* y (/ x z)) (neg y)) z) (+ (* y (/ x z)) (neg y)) (* (* t (* y (- 1 (/ z x)))) x) (/ t (pow (* (- x z) y) -1)) (* t (* y (- 1 (/ z x)))) (* y (- 1 (/ z x))) (/ (neg t) (/ -1 (- x z))) (* (/ (neg t) (/ -1 (- x z))) y) (neg t) (/ (* x y) z) (- 1 (/ z x)))
5.0ms	x	@	-inf	((/ 1 (/ (/ -1 (- x z)) (* (neg t) y))) (/ (/ -1 (- x z)) (* (neg t) y)) (/ -1 (- x z)) (- x z) (* (* (- x z) t) y) (* (- x z) t) (* x t) (* (- (* x y) (* z y)) t) (- (* x y) (* z y)) (* (+ (* y (/ x z)) (neg y)) z) (+ (* y (/ x z)) (neg y)) (* (* t (* y (- 1 (/ z x)))) x) (/ t (pow (* (- x z) y) -1)) (* t (* y (- 1 (/ z x)))) (* y (- 1 (/ z x))) (/ (neg t) (/ -1 (- x z))) (* (/ (neg t) (/ -1 (- x z))) y) (neg t) (/ (* x y) z) (- 1 (/ z x)))
4.0ms	y	@	-inf	((/ 1 (/ (/ -1 (- x z)) (* (neg t) y))) (/ (/ -1 (- x z)) (* (neg t) y)) (/ -1 (- x z)) (- x z) (* (* (- x z) t) y) (* (- x z) t) (* x t) (* (- (* x y) (* z y)) t) (- (* x y) (* z y)) (* (+ (* y (/ x z)) (neg y)) z) (+ (* y (/ x z)) (neg y)) (* (* t (* y (- 1 (/ z x)))) x) (/ t (pow (* (- x z) y) -1)) (* t (* y (- 1 (/ z x)))) (* y (- 1 (/ z x))) (/ (neg t) (/ -1 (- x z))) (* (/ (neg t) (/ -1 (- x z))) y) (neg t) (/ (* x y) z) (- 1 (/ z x)))
3.0ms	t	@	-inf	((/ 1 (/ (/ -1 (- x z)) (* (neg t) y))) (/ (/ -1 (- x z)) (* (neg t) y)) (/ -1 (- x z)) (- x z) (* (* (- x z) t) y) (* (- x z) t) (* x t) (* (- (* x y) (* z y)) t) (- (* x y) (* z y)) (* (+ (* y (/ x z)) (neg y)) z) (+ (* y (/ x z)) (neg y)) (* (* t (* y (- 1 (/ z x)))) x) (/ t (pow (* (- x z) y) -1)) (* t (* y (- 1 (/ z x)))) (* y (- 1 (/ z x))) (/ (neg t) (/ -1 (- x z))) (* (/ (neg t) (/ -1 (- x z))) y) (neg t) (/ (* x y) z) (- 1 (/ z x)))

simplify280.0ms (3.1%)

Memory

-20.3MiB live, 253.5MiB allocated

Algorithm

1×	egg-herbie

Rules

7 842×	`lower-fma.f64`
7 842×	`lower-fma.f32`
4 412×	`lower-*.f64`
4 412×	`lower-*.f32`
2 380×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	372	6025
1	1193	5803
2	3769	5667
0	8327	5644

Stop Event

1×	iter limit
1×	node limit

Counts

744 → 738

Calls

Call 1

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

rewrite238.0ms (2.6%)

Memory

0.2MiB live, 230.1MiB allocated

Rules

4 904×	`lower-*.f32`
4 884×	`lower-*.f64`
4 844×	`lower-fma.f64`
4 844×	`lower-fma.f32`
4 766×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	211
0	60	205
1	216	191
2	1439	189
0	8424	189

Stop Event

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

Counts

20 → 733

Calls

Call 1

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

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

eval531.0ms (5.8%)

Memory: -9.4MiB live, 460.7MiB allocated
Compiler: Compiled 23 072 to 2 651 computations (88.5% saved)

prune99.0ms (1.1%)

Memory

-3.8MiB live, 161.9MiB allocated

Pruning

15 alts after pruning (7 fresh and 8 done)

	Pruned	Kept	Total
New	1 588	5	1 593
Fresh	2	2	4
Picked	3	2	5
Done	0	6	6
Total	1 593	15	1 608

Accuracy

100.0%

Counts

1 608 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	91.6%	(/.f64 (*.f64 y (neg.f64 t)) (/.f64 #s(literal -1 binary64) (-.f64 x z)))
	55.2%	(/.f64 t #s(approx (pow (* (- x z) y) -1) (/.f64 #s(literal -1 binary64) (*.f64 z y))))
	51.6%	(*.f64 (/.f64 (neg.f64 t) #s(approx (/ -1 (- x z)) (/.f64 #s(literal 1 binary64) z))) y)
	49.0%	(*.f64 (/.f64 (neg.f64 t) #s(approx (/ -1 (- x z)) (/.f64 #s(literal -1 binary64) x))) y)
✓	91.7%	(.f64 (-.f64 x z) (.f64 t y))
✓	89.8%	(.f64 (.f64 (-.f64 x z) t) y)
	51.6%	(.f64 (.f64 #s(approx (- x z) (neg.f64 z)) t) y)
✓	55.2%	(.f64 #s(approx (- ( x y) (* z y)) (*.f64 (neg.f64 z) y)) t)
✓	49.0%	(.f64 #s(approx (- ( x y) (* z y)) (.f64 #s(approx (+ ( y (/ x z)) (neg y)) (/.f64 (*.f64 x y) z)) z)) t)
✓	51.8%	(.f64 #s(approx (- ( x y) (* z y)) (*.f64 y x)) t)
✓	51.4%	(.f64 #s(approx (- x z) (neg.f64 z)) (.f64 t y))
✓	49.0%	(.f64 #s(approx ( (- x z) t) (*.f64 x t)) y)
✓	51.5%	#s(approx (/ t (pow (* (- x z) y) -1)) (.f64 (.f64 y t) x))
	84.9%	#s(approx (/ t (pow (* (- x z) y) -1)) (.f64 (.f64 t (-.f64 (/.f64 (*.f64 x y) z) y)) z))
	45.8%	#s(approx (/ t (pow (* (- x z) y) -1)) (.f64 (.f64 t #s(approx (* y (- 1 (/ z x))) (*.f64 (/.f64 (neg.f64 y) x) z))) x))

Compiler

Compiled 563 to 272 computations (51.7% saved)

regimes73.0ms (0.8%)

Memory

35.2MiB live, 146.0MiB allocated

Counts

36 → 1

Calls

Call 1

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

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

Calls

6 calls:

13.0ms	z
13.0ms	(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)
13.0ms	y
10.0ms	(-.f64 (.f64 x y) (.f64 z y))
10.0ms	t

Results

Accuracy	Segments	Branch
97.1%	1	`x`
97.1%	1	`y`
97.1%	1	`z`
97.1%	1	`t`
97.1%	1	`(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)`
97.1%	1	`(-.f64 (.f64 x y) (.f64 z y))`

Compiler

Compiled 20 to 31 computations (-55% saved)

regimes72.0ms (0.8%)

Memory

-23.0MiB live, 128.7MiB allocated

Counts

31 → 1

Calls

Call 1

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

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

Calls

6 calls:

17.0ms	t
12.0ms	x
12.0ms	z
11.0ms	(-.f64 (.f64 x y) (.f64 z y))
9.0ms	y

Results

Accuracy	Segments	Branch
96.7%	1	`x`
96.7%	1	`y`
96.7%	1	`z`
96.7%	1	`t`
96.7%	1	`(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)`
96.7%	1	`(-.f64 (.f64 x y) (.f64 z y))`

Compiler

Compiled 20 to 31 computations (-55% saved)

regimes38.0ms (0.4%)

Memory

-14.2MiB live, 77.6MiB allocated

Counts

10 → 2

Calls

Call 1

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

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

Calls

6 calls:

13.0ms	t
8.0ms	z
4.0ms	y
4.0ms	(-.f64 (.f64 x y) (.f64 z y))
4.0ms	x

Results

Accuracy	Segments	Branch
98.3%	2	`t`
91.7%	1	`x`
94.0%	2	`y`
93.8%	2	`z`
98.3%	3	`(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)`
94.4%	2	`(-.f64 (.f64 x y) (.f64 z y))`

Compiler

Compiled 20 to 31 computations (-55% saved)

regimes25.0ms (0.3%)

Memory

27.0MiB live, 65.8MiB allocated

Counts

9 → 2

Calls

Call 1

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

Calls

6 calls:

6.0ms	z
4.0ms	(-.f64 (.f64 x y) (.f64 z y))
4.0ms	x
4.0ms	y
4.0ms	t

Results

Accuracy	Segments	Branch
89.8%	1	`x`
91.8%	2	`z`
89.8%	1	`y`
89.8%	1	`(-.f64 (.f64 x y) (.f64 z y))`
89.8%	1	`(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)`
89.8%	1	`t`

Compiler

Compiled 20 to 31 computations (-55% saved)

regimes35.0ms (0.4%)

Memory

-16.9MiB live, 61.3MiB allocated

Counts

8 → 3

Calls

Call 1

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

17.0ms	(-.f64 (.f64 x y) (.f64 z y))
5.0ms	(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)
3.0ms	z
3.0ms	t
3.0ms	x

Results

Accuracy	Segments	Branch
65.9%	4	`(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)`
75.9%	3	`x`
64.5%	3	`y`
64.6%	5	`t`
68.5%	8	`(-.f64 (.f64 x y) (.f64 z y))`
80.9%	3	`z`

Compiler

Compiled 20 to 31 computations (-55% saved)

regimes3.0ms (0%)

Memory

13.0MiB live, 13.0MiB allocated

Counts

6 → 3

Calls

Call 1

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
77.6%	3	`z`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes7.0ms (0.1%)

Memory

-23.6MiB live, 21.2MiB allocated

Counts

5 → 3

Calls

Call 1

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

4.0ms	x
3.0ms	z

Results

Accuracy	Segments	Branch
75.2%	3	`x`
75.7%	3	`z`

Compiler

Compiled 2 to 8 computations (-300% saved)

regimes13.0ms (0.1%)

Memory

2.0MiB live, 41.2MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

6 calls:

3.0ms	(-.f64 (.f64 x y) (.f64 z y))
2.0ms	z
2.0ms	t
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
51.8%	1	`(-.f64 (.f64 x y) (.f64 z y))`
53.5%	2	`t`
51.8%	1	`(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)`
51.8%	1	`y`
51.8%	1	`x`
51.8%	1	`z`

Compiler

Compiled 20 to 31 computations (-55% saved)

regimes8.0ms (0.1%)

Memory

26.3MiB live, 26.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
51.5%	1	`(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)`
51.5%	1	`(-.f64 (.f64 x y) (.f64 z y))`
51.5%	1	`x`
51.5%	1	`y`
51.5%	1	`z`
51.5%	1	`t`

Compiler

Compiled 20 to 31 computations (-55% saved)

bsearch2.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
1.0ms	0.00022083054048319822	0.028865482566788954

Samples

1.0ms

16×

valid

Compiler

Compiled 26 to 31 computations (-19.2% 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)

bsearch149.0ms (1.6%)

Memory

-28.0MiB live, 11.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
148.0ms	-6.503765428937769e+175	-3.7088957894418e+175

Samples

146.0ms

64×

valid

Compiler

Compiled 68 to 83 computations (-22.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-mult: 1.0ms (66.1% of total)

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

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

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

bsearch18.0ms (0.2%)

Memory

27.2MiB live, 27.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
5.0ms	3.8644666675381737e+34	7.007645250691983e+34
11.0ms	-23.694757567701934	-0.0008096023021040796

Samples

9.0ms

192×

valid

Compiler

Compiled 168 to 219 computations (-30.4% saved)

Precisions

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

ival-mult: 3.0ms (65.3% of total)

ival-sub: 1.0ms (21.8% of total)

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

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

bsearch2.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	3.8644666675381737e+34	7.007645250691983e+34
1.0ms	-23.694757567701934	-0.0008096023021040796

Compiler

Compiled 168 to 219 computations (-30.4% saved)

bsearch1.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	3.8644666675381737e+34	7.007645250691983e+34
1.0ms	-23.694757567701934	-0.0008096023021040796

Compiler

Compiled 168 to 219 computations (-30.4% saved)

bsearch5.0ms (0.1%)

Memory

-33.9MiB live, 5.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
4.0ms	4.305717877584406e-27	6.135040894040882e-26

Samples

3.0ms

32×

valid

Compiler

Compiled 36 to 47 computations (-30.6% saved)

Precisions

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

ival-mult: 1.0ms (126.5% of total)

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

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

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

simplify27.0ms (0.3%)

Memory

6.2MiB live, 46.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	255
1	91	255
2	112	255
3	128	255
4	134	255
5	136	255

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 t (pow.f64 (*.f64 (-.f64 x z) y) #s(literal -1 binary64)))
(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)
(if (<=.f64 t #s(literal 7378697629483821/18446744073709551616 binary64)) (.f64 (.f64 (-.f64 x z) t) y) (.f64 (-.f64 x z) (.f64 t y)))
(if (<=.f64 z #s(literal -41999999999999998063400283815523244035294533577501533204256427584172557253270492425157444471960161293635212257371526568956012904217562912085670880379732186653797043256556519424 binary64)) (.f64 #s(approx (- ( x y) (* z y)) (.f64 (neg.f64 z) y)) t) (.f64 (*.f64 (-.f64 x z) t) y))
(if (<=.f64 z #s(literal -8106479329266893/18014398509481984 binary64)) (.f64 #s(approx (- ( x y) (* z y)) (.f64 (neg.f64 z) y)) t) (if (<=.f64 z #s(literal 39000000000000001912659274618634240 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 -8106479329266893/18014398509481984 binary64)) (.f64 #s(approx (- x z) (neg.f64 z)) (.f64 t y)) (if (<=.f64 z #s(literal 39000000000000001912659274618634240 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 z #s(literal -8106479329266893/18014398509481984 binary64)) #s(approx (* (- (* x y) (* z y)) t) (.f64 (.f64 (neg.f64 t) z) y)) (if (<=.f64 z #s(literal 39000000000000001912659274618634240 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 1742245718635205/87112285931760246646623899502532662132736 binary64)) (.f64 #s(approx ( (- x z) t) (.f64 x t)) y) #s(approx (/ t (pow ( (- x z) y) -1)) (.f64 (.f64 y t) x)))
#s(approx (/ t (pow (* (- x z) y) -1)) (.f64 (.f64 y t) x))

Outputs
(/.f64 t (pow.f64 (*.f64 (-.f64 x z) y) #s(literal -1 binary64)))
(/.f64 t (pow.f64 (*.f64 y (-.f64 x z)) #s(literal -1 binary64)))
(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)
(.f64 (-.f64 (.f64 y x) (*.f64 y z)) t)
(if (<=.f64 t #s(literal 7378697629483821/18446744073709551616 binary64)) (.f64 (.f64 (-.f64 x z) t) y) (.f64 (-.f64 x z) (.f64 t y)))
(if (<=.f64 t #s(literal 7378697629483821/18446744073709551616 binary64)) (.f64 (.f64 (-.f64 x z) t) y) (.f64 (.f64 y t) (-.f64 x z)))
(if (<=.f64 z #s(literal -41999999999999998063400283815523244035294533577501533204256427584172557253270492425157444471960161293635212257371526568956012904217562912085670880379732186653797043256556519424 binary64)) (.f64 #s(approx (- ( x y) (* z y)) (.f64 (neg.f64 z) y)) t) (.f64 (*.f64 (-.f64 x z) t) y))
(if (<=.f64 z #s(literal -8106479329266893/18014398509481984 binary64)) (.f64 #s(approx (- ( x y) (* z y)) (.f64 (neg.f64 z) y)) t) (if (<=.f64 z #s(literal 39000000000000001912659274618634240 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 -8106479329266893/18014398509481984 binary64)) (.f64 #s(approx (- x z) (neg.f64 z)) (.f64 t y)) (if (<=.f64 z #s(literal 39000000000000001912659274618634240 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 z #s(literal -8106479329266893/18014398509481984 binary64)) (.f64 #s(approx (- x z) (neg.f64 z)) (.f64 y t)) (if (<=.f64 z #s(literal 39000000000000001912659274618634240 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 z #s(literal -8106479329266893/18014398509481984 binary64)) #s(approx (* (- (* x y) (* z y)) t) (.f64 (.f64 (neg.f64 t) z) y)) (if (<=.f64 z #s(literal 39000000000000001912659274618634240 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 1742245718635205/87112285931760246646623899502532662132736 binary64)) (.f64 #s(approx ( (- x z) t) (.f64 x t)) y) #s(approx (/ t (pow ( (- x z) y) -1)) (.f64 (.f64 y t) x)))
#s(approx (/ t (pow (* (- x z) y) -1)) (.f64 (.f64 y t) x))

soundness1.1s (12.6%)

Memory

23.2MiB live, 615.1MiB allocated

Rules

11 204×	`lower-fma.f64`
11 204×	`lower-fma.f32`
6 830×	`lower-fma.f64`
6 830×	`lower-fma.f32`
4 960×	`lower-fma.f64`

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	411	6070
1	1358	5762
2	4502	5661
0	8233	5607
0	246	4438
1	806	4270
2	2636	4104
3	7381	4104
0	8491	4095
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×	node limit

Compiler

Compiled 387 to 223 computations (42.4% saved)

preprocess783.0ms (8.6%)

Memory: -118.4MiB live, 486.3MiB allocated
Compiler: Compiled 720 to 370 computations (48.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (13.2%)

explain268.0ms (2.9%)

preprocess122.0ms (1.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify32.0ms (0.4%)

localize18.0ms (0.2%)

series23.0ms (0.3%)

simplify183.0ms (2%)

rewrite298.0ms (3.3%)

eval194.0ms (2.1%)

prune21.0ms (0.2%)

simplify90.0ms (1%)

localize101.0ms (1.1%)

series61.0ms (0.7%)

simplify140.0ms (1.5%)

rewrite552.0ms (6.1%)

eval653.0ms (7.2%)

prune86.0ms (0.9%)

simplify101.0ms (1.1%)

localize87.0ms (1%)

series234.0ms (2.6%)

simplify170.0ms (1.9%)

rewrite189.0ms (2.1%)

eval255.0ms (2.8%)

prune59.0ms (0.7%)

simplify127.0ms (1.4%)

localize161.0ms (1.8%)

series107.0ms (1.2%)

simplify280.0ms (3.1%)

rewrite238.0ms (2.6%)

eval531.0ms (5.8%)

prune99.0ms (1.1%)

regimes73.0ms (0.8%)

regimes72.0ms (0.8%)

regimes38.0ms (0.4%)

regimes25.0ms (0.3%)

regimes35.0ms (0.4%)

regimes3.0ms (0%)

regimes7.0ms (0.1%)

regimes13.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch2.0ms (0%)

bsearch149.0ms (1.6%)

bsearch18.0ms (0.2%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch5.0ms (0.1%)

simplify27.0ms (0.3%)

soundness1.1s (12.6%)

preprocess783.0ms (8.6%)

end0.0ms (0%)

Profiling