Metrics for Numeric.Signal.Multichannel:$cget from hsignal-0.2.7.1

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze78.0ms (1.2%)

Memory

14.8MiB live, 54.3MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
50%	49.9%	49.9%	0.2%	0%	0%	0%	3
50%	49.9%	49.9%	0.2%	0%	0%	0%	4
50%	49.9%	49.9%	0.2%	0%	0%	0%	5
50%	49.9%	49.9%	0.2%	0%	0%	0%	6
75%	74.9%	25%	0.2%	0%	0%	0%	7
75%	74.9%	25%	0.2%	0%	0%	0%	8
75%	74.9%	25%	0.2%	0%	0%	0%	9
75%	74.9%	25%	0.2%	0%	0%	0%	10
87.5%	87.3%	12.5%	0.2%	0%	0%	0%	11
87.5%	87.3%	12.5%	0.2%	0%	0%	0%	12

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample996.0ms (15.4%)

Memory

-19.4MiB live, 1 172.6MiB allocated

Samples

590.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 308.0ms

ival-div: 124.0ms (40.2% of total)

ival-mult: 63.0ms (20.4% of total)

ival-sub: 62.0ms (20.1% of total)

ival-add: 50.0ms (16.2% of total)

ival-true: 6.0ms (1.9% of total)

ival-assert: 3.0ms (1% of total)

Bogosity

explain77.0ms (1.2%)

Memory

35.0MiB live, 232.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
20	-	3	(-8.145498649885176e-145 -3.298130870525994e+168 1.755119992014146e+85 -1.9397625478001673e+250)	`(*.f64 (/.f64 x y) (-.f64 z t))`
0	-	0	-	`(/.f64 x y)`
0	-	0	-	`(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)`
0	-	0	-	`y`
0	-	0	-	`(-.f64 z t)`
0	-	0	-	`t`
0	-	0	-	`z`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(*.f64 (/.f64 x y) (-.f64 z t))`	*no**	5	0

Confusion

	Predicted +	Predicted -
+	5	1
-	0	250

Precision

1.0

Recall

0.8333333333333334

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	5	0	1
-	0	0	250

Precision?

1.0

Recall?

0.8333333333333334

Freqs

test

number	freq
0	251
1	5

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

30.0ms

512×

valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

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

ival-div: 5.0ms (34.5% of total)

ival-sub: 3.0ms (20.7% of total)

ival-add: 3.0ms (20.7% of total)

ival-mult: 3.0ms (20.7% of total)

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

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

preprocess127.0ms (2%)

Memory

-25.1MiB live, 136.6MiB allocated

Algorithm

1×	egg-herbie

Rules

1 328×	`lower-fma.f64`
1 328×	`lower-fma.f32`
1 134×	`unsub-neg`
968×	`times-frac`
900×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	136
1	124	132
2	395	126
3	1371	126
4	4257	126
5	7146	126
0	8	9
0	12	9
1	18	9
2	39	9
3	85	9
4	155	9
5	242	9
6	401	9
7	715	9
8	1302	9
9	2368	9
10	2579	9
11	2612	9
12	2628	9
13	2629	9
14	2629	9
0	2629	8

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory: 0.7MiB live, 0.7MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.8%	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify78.0ms (1.2%)

Memory

21.4MiB live, 102.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

1 328×	`lower-fma.f64`
1 328×	`lower-fma.f32`
592×	`lower-*.f32`
590×	`lower-*.f64`
346×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
0	12	26
1	18	26
2	39	26
3	85	26
4	155	26
5	242	26
6	401	26
7	715	26
8	1302	26
9	2368	26
10	2579	26
11	2612	26
12	2628	26
13	2629	26
14	2629	26
0	2629	25

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize20.0ms (0.3%)

Memory

-26.4MiB live, 52.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 x y)
accuracy	0	(-.f64 z t)
accuracy	0	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
accuracy	4.390489755447916	(*.f64 (/.f64 x y) (-.f64 z t))

Samples

15.0ms

256×

valid

Compiler

Compiled 28 to 10 computations (64.3% saved)

Precisions

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

ival-div: 2.0ms (29.5% of total)

ival-mult: 2.0ms (29.5% of total)

ival-sub: 1.0ms (14.8% of total)

ival-add: 1.0ms (14.8% of total)

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

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

series16.0ms (0.2%)

Memory

3.5MiB live, 42.7MiB allocated

Counts

4 → 144

Calls

Call 1

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

Outputs
#s(alt (/ (* x z) y) (taylor 0 t) (#s(alt (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) #<representation:binary64>) () ())) ())
#s(alt (+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) (taylor 0 t) (#s(alt (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) #<representation:binary64>) () ())) ())
#s(alt (+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) (taylor 0 t) (#s(alt (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) #<representation:binary64>) () ())) ())
#s(alt (+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) (taylor 0 t) (#s(alt (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) #<representation:binary64>) () ())) ())
#s(alt (/ (* x z) y) (taylor 0 t) (#s(alt (.f64 (/.f64 x y) (-.f64 z t)) (patch (.f64 (/.f64 x y) (-.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* t x) y)) (/ (* x z) y)) (taylor 0 t) (#s(alt (.f64 (/.f64 x y) (-.f64 z t)) (patch (.f64 (/.f64 x y) (-.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* t x) y)) (/ (* x z) y)) (taylor 0 t) (#s(alt (.f64 (/.f64 x y) (-.f64 z t)) (patch (.f64 (/.f64 x y) (-.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* t x) y)) (/ (* x z) y)) (taylor 0 t) (#s(alt (.f64 (/.f64 x y) (-.f64 z t)) (patch (.f64 (/.f64 x y) (-.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt z (taylor 0 t) (#s(alt (-.f64 z t) (patch (-.f64 z t) #<representation:binary64>) () ())) ())
#s(alt (+ z (* -1 t)) (taylor 0 t) (#s(alt (-.f64 z t) (patch (-.f64 z t) #<representation:binary64>) () ())) ())
#s(alt (+ z (* -1 t)) (taylor 0 t) (#s(alt (-.f64 z t) (patch (-.f64 z t) #<representation:binary64>) () ())) ())
#s(alt (+ z (* -1 t)) (taylor 0 t) (#s(alt (-.f64 z t) (patch (-.f64 z t) #<representation:binary64>) () ())) ())
#s(alt (* t (+ 1 (* -1 (/ x y)))) (taylor inf t) (#s(alt (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) #<representation:binary64>) () ())) ())
#s(alt (* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) (taylor inf t) (#s(alt (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) #<representation:binary64>) () ())) ())
#s(alt (* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) (taylor inf t) (#s(alt (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) #<representation:binary64>) () ())) ())
#s(alt (* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) (taylor inf t) (#s(alt (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (* t x) y)) (taylor inf t) (#s(alt (.f64 (/.f64 x y) (-.f64 z t)) (patch (.f64 (/.f64 x y) (-.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (* t (+ (* -1 (/ x y)) (/ (* x z) (* t y)))) (taylor inf t) (#s(alt (.f64 (/.f64 x y) (-.f64 z t)) (patch (.f64 (/.f64 x y) (-.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (* t (+ (* -1 (/ x y)) (/ (* x z) (* t y)))) (taylor inf t) (#s(alt (.f64 (/.f64 x y) (-.f64 z t)) (patch (.f64 (/.f64 x y) (-.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (* t (+ (* -1 (/ x y)) (/ (* x z) (* t y)))) (taylor inf t) (#s(alt (.f64 (/.f64 x y) (-.f64 z t)) (patch (.f64 (/.f64 x y) (-.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (* -1 t) (taylor inf t) (#s(alt (-.f64 z t) (patch (-.f64 z t) #<representation:binary64>) () ())) ())
#s(alt (* t (- (/ z t) 1)) (taylor inf t) (#s(alt (-.f64 z t) (patch (-.f64 z t) #<representation:binary64>) () ())) ())
#s(alt (* t (- (/ z t) 1)) (taylor inf t) (#s(alt (-.f64 z t) (patch (-.f64 z t) #<representation:binary64>) () ())) ())
#s(alt (* t (- (/ z t) 1)) (taylor inf t) (#s(alt (-.f64 z t) (patch (-.f64 z t) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* t (- (/ x y) 1))) (taylor -inf t) (#s(alt (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* t (- (+ (* -1 (/ (* x z) (* t y))) (/ x y)) 1))) (taylor -inf t) (#s(alt (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* t (- (+ (* -1 (/ (* x z) (* t y))) (/ x y)) 1))) (taylor -inf t) (#s(alt (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* t (- (+ (* -1 (/ (* x z) (* t y))) (/ x y)) 1))) (taylor -inf t) (#s(alt (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (* t x) y)) (taylor -inf t) (#s(alt (.f64 (/.f64 x y) (-.f64 z t)) (patch (.f64 (/.f64 x y) (-.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* t (+ (* -1 (/ (* x z) (* t y))) (/ x y)))) (taylor -inf t) (#s(alt (.f64 (/.f64 x y) (-.f64 z t)) (patch (.f64 (/.f64 x y) (-.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* t (+ (* -1 (/ (* x z) (* t y))) (/ x y)))) (taylor -inf t) (#s(alt (.f64 (/.f64 x y) (-.f64 z t)) (patch (.f64 (/.f64 x y) (-.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* t (+ (* -1 (/ (* x z) (* t y))) (/ x y)))) (taylor -inf t) (#s(alt (.f64 (/.f64 x y) (-.f64 z t)) (patch (.f64 (/.f64 x y) (-.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (* -1 t) (taylor -inf t) (#s(alt (-.f64 z t) (patch (-.f64 z t) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* t (+ 1 (* -1 (/ z t))))) (taylor -inf t) (#s(alt (-.f64 z t) (patch (-.f64 z t) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* t (+ 1 (* -1 (/ z t))))) (taylor -inf t) (#s(alt (-.f64 z t) (patch (-.f64 z t) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* t (+ 1 (* -1 (/ z t))))) (taylor -inf t) (#s(alt (-.f64 z t) (patch (-.f64 z t) #<representation:binary64>) () ())) ())
#s(alt (+ t (* -1 (/ (* t x) y))) (taylor 0 z) (#s(alt (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) #<representation:binary64>) () ())) ())
#s(alt (+ t (+ (* -1 (/ (* t x) y)) (/ (* x z) y))) (taylor 0 z) (#s(alt (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) #<representation:binary64>) () ())) ())
#s(alt (+ t (+ (* -1 (/ (* t x) y)) (/ (* x z) y))) (taylor 0 z) (#s(alt (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) #<representation:binary64>) () ())) ())
#s(alt (+ t (+ (* -1 (/ (* t x) y)) (/ (* x z) y))) (taylor 0 z) (#s(alt (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) #<representation:binary64>) () ())) ())
#s(alt (* -1 (/ (* t x) y)) (taylor 0 z) (#s(alt (.f64 (/.f64 x y) (-.f64 z t)) (patch (.f64 (/.f64 x y) (-.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* t x) y)) (/ (* x z) y)) (taylor 0 z) (#s(alt (.f64 (/.f64 x y) (-.f64 z t)) (patch (.f64 (/.f64 x y) (-.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* t x) y)) (/ (* x z) y)) (taylor 0 z) (#s(alt (.f64 (/.f64 x y) (-.f64 z t)) (patch (.f64 (/.f64 x y) (-.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* t x) y)) (/ (* x z) y)) (taylor 0 z) (#s(alt (.f64 (/.f64 x y) (-.f64 z t)) (patch (.f64 (/.f64 x y) (-.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (* -1 t) (taylor 0 z) (#s(alt (-.f64 z t) (patch (-.f64 z t) #<representation:binary64>) () ())) ())
#s(alt (- z t) (taylor 0 z) (#s(alt (-.f64 z t) (patch (-.f64 z t) #<representation:binary64>) () ())) ())
#s(alt (- z t) (taylor 0 z) (#s(alt (-.f64 z t) (patch (-.f64 z t) #<representation:binary64>) () ())) ())
#s(alt (- z t) (taylor 0 z) (#s(alt (-.f64 z t) (patch (-.f64 z t) #<representation:binary64>) () ())) ())
#s(alt (/ (* x z) y) (taylor inf z) (#s(alt (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) #<representation:binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ (* t x) (* y z))) (+ (/ t z) (/ x y)))) (taylor inf z) (#s(alt (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) #<representation:binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ (* t x) (* y z))) (+ (/ t z) (/ x y)))) (taylor inf z) (#s(alt (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) #<representation:binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ (* t x) (* y z))) (+ (/ t z) (/ x y)))) (taylor inf z) (#s(alt (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) #<representation:binary64>) () ())) ())
#s(alt (/ (* x z) y) (taylor inf z) (#s(alt (.f64 (/.f64 x y) (-.f64 z t)) (patch (.f64 (/.f64 x y) (-.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ (* t x) (* y z))) (/ x y))) (taylor inf z) (#s(alt (.f64 (/.f64 x y) (-.f64 z t)) (patch (.f64 (/.f64 x y) (-.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ (* t x) (* y z))) (/ x y))) (taylor inf z) (#s(alt (.f64 (/.f64 x y) (-.f64 z t)) (patch (.f64 (/.f64 x y) (-.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (* z (+ (* -1 (/ (* t x) (* y z))) (/ x y))) (taylor inf z) (#s(alt (.f64 (/.f64 x y) (-.f64 z t)) (patch (.f64 (/.f64 x y) (-.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt z (taylor inf z) (#s(alt (-.f64 z t) (patch (-.f64 z t) #<representation:binary64>) () ())) ())
#s(alt (* z (+ 1 (* -1 (/ t z)))) (taylor inf z) (#s(alt (-.f64 z t) (patch (-.f64 z t) #<representation:binary64>) () ())) ())
#s(alt (* z (+ 1 (* -1 (/ t z)))) (taylor inf z) (#s(alt (-.f64 z t) (patch (-.f64 z t) #<representation:binary64>) () ())) ())
#s(alt (* z (+ 1 (* -1 (/ t z)))) (taylor inf z) (#s(alt (-.f64 z t) (patch (-.f64 z t) #<representation:binary64>) () ())) ())
#s(alt (/ (* x z) y) (taylor -inf z) (#s(alt (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ x y)) (* -1 (/ (+ t (* -1 (/ (* t x) y))) z))))) (taylor -inf z) (#s(alt (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ x y)) (* -1 (/ (+ t (* -1 (/ (* t x) y))) z))))) (taylor -inf z) (#s(alt (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ x y)) (* -1 (/ (+ t (* -1 (/ (* t x) y))) z))))) (taylor -inf z) (#s(alt (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) #<representation:binary64>) () ())) ())
#s(alt (/ (* x z) y) (taylor -inf z) (#s(alt (.f64 (/.f64 x y) (-.f64 z t)) (patch (.f64 (/.f64 x y) (-.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ x y)) (/ (* t x) (* y z))))) (taylor -inf z) (#s(alt (.f64 (/.f64 x y) (-.f64 z t)) (patch (.f64 (/.f64 x y) (-.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ x y)) (/ (* t x) (* y z))))) (taylor -inf z) (#s(alt (.f64 (/.f64 x y) (-.f64 z t)) (patch (.f64 (/.f64 x y) (-.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ x y)) (/ (* t x) (* y z))))) (taylor -inf z) (#s(alt (.f64 (/.f64 x y) (-.f64 z t)) (patch (.f64 (/.f64 x y) (-.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt z (taylor -inf z) (#s(alt (-.f64 z t) (patch (-.f64 z t) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* z (- (/ t z) 1))) (taylor -inf z) (#s(alt (-.f64 z t) (patch (-.f64 z t) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* z (- (/ t z) 1))) (taylor -inf z) (#s(alt (-.f64 z t) (patch (-.f64 z t) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* z (- (/ t z) 1))) (taylor -inf z) (#s(alt (-.f64 z t) (patch (-.f64 z t) #<representation:binary64>) () ())) ())
#s(alt (/ (* x (- z t)) y) (taylor 0 y) (#s(alt (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) #<representation:binary64>) () ())) ())
#s(alt (/ (+ (* t y) (* x (- z t))) y) (taylor 0 y) (#s(alt (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) #<representation:binary64>) () ())) ())
#s(alt (/ (+ (* t y) (* x (- z t))) y) (taylor 0 y) (#s(alt (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) #<representation:binary64>) () ())) ())
#s(alt (/ (+ (* t y) (* x (- z t))) y) (taylor 0 y) (#s(alt (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) #<representation:binary64>) () ())) ())
#s(alt (/ (* x (- z t)) y) (taylor 0 y) (#s(alt (.f64 (/.f64 x y) (-.f64 z t)) (patch (.f64 (/.f64 x y) (-.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (/ (* x (- z t)) y) (taylor 0 y) (#s(alt (.f64 (/.f64 x y) (-.f64 z t)) (patch (.f64 (/.f64 x y) (-.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (/ (* x (- z t)) y) (taylor 0 y) (#s(alt (.f64 (/.f64 x y) (-.f64 z t)) (patch (.f64 (/.f64 x y) (-.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (/ (* x (- z t)) y) (taylor 0 y) (#s(alt (.f64 (/.f64 x y) (-.f64 z t)) (patch (.f64 (/.f64 x y) (-.f64 z 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 t (taylor inf y) (#s(alt (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) #<representation:binary64>) () ())) ())
#s(alt (+ t (/ (* x (- z t)) y)) (taylor inf y) (#s(alt (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) #<representation:binary64>) () ())) ())
#s(alt (+ t (/ (* x (- z t)) y)) (taylor inf y) (#s(alt (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) #<representation:binary64>) () ())) ())
#s(alt (+ t (/ (* x (- z t)) y)) (taylor inf y) (#s(alt (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) #<representation:binary64>) () ())) ())
#s(alt (/ (* x (- z t)) y) (taylor inf y) (#s(alt (.f64 (/.f64 x y) (-.f64 z t)) (patch (.f64 (/.f64 x y) (-.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (/ (* x (- z t)) y) (taylor inf y) (#s(alt (.f64 (/.f64 x y) (-.f64 z t)) (patch (.f64 (/.f64 x y) (-.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (/ (* x (- z t)) y) (taylor inf y) (#s(alt (.f64 (/.f64 x y) (-.f64 z t)) (patch (.f64 (/.f64 x y) (-.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (/ (* x (- z t)) y) (taylor inf y) (#s(alt (.f64 (/.f64 x y) (-.f64 z t)) (patch (.f64 (/.f64 x y) (-.f64 z 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 t (taylor -inf y) (#s(alt (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) #<representation:binary64>) () ())) ())
#s(alt (+ t (/ (* x (- z t)) y)) (taylor -inf y) (#s(alt (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) #<representation:binary64>) () ())) ())
#s(alt (+ t (/ (* x (- z t)) y)) (taylor -inf y) (#s(alt (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) #<representation:binary64>) () ())) ())
#s(alt (+ t (/ (* x (- z t)) y)) (taylor -inf y) (#s(alt (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) #<representation:binary64>) () ())) ())
#s(alt (/ (* x (- z t)) y) (taylor -inf y) (#s(alt (.f64 (/.f64 x y) (-.f64 z t)) (patch (.f64 (/.f64 x y) (-.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (/ (* x (- z t)) y) (taylor -inf y) (#s(alt (.f64 (/.f64 x y) (-.f64 z t)) (patch (.f64 (/.f64 x y) (-.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (/ (* x (- z t)) y) (taylor -inf y) (#s(alt (.f64 (/.f64 x y) (-.f64 z t)) (patch (.f64 (/.f64 x y) (-.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (/ (* x (- z t)) y) (taylor -inf y) (#s(alt (.f64 (/.f64 x y) (-.f64 z t)) (patch (.f64 (/.f64 x y) (-.f64 z 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 t (taylor 0 x) (#s(alt (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) #<representation:binary64>) () ())) ())
#s(alt (+ t (* x (- (/ z y) (/ t y)))) (taylor 0 x) (#s(alt (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) #<representation:binary64>) () ())) ())
#s(alt (+ t (* x (- (/ z y) (/ t y)))) (taylor 0 x) (#s(alt (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) #<representation:binary64>) () ())) ())
#s(alt (+ t (* x (- (/ z y) (/ t y)))) (taylor 0 x) (#s(alt (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) #<representation:binary64>) () ())) ())
#s(alt (/ (* x (- z t)) y) (taylor 0 x) (#s(alt (.f64 (/.f64 x y) (-.f64 z t)) (patch (.f64 (/.f64 x y) (-.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (/ (* x (- z t)) y) (taylor 0 x) (#s(alt (.f64 (/.f64 x y) (-.f64 z t)) (patch (.f64 (/.f64 x y) (-.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (/ (* x (- z t)) y) (taylor 0 x) (#s(alt (.f64 (/.f64 x y) (-.f64 z t)) (patch (.f64 (/.f64 x y) (-.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (/ (* x (- z t)) y) (taylor 0 x) (#s(alt (.f64 (/.f64 x y) (-.f64 z t)) (patch (.f64 (/.f64 x y) (-.f64 z 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 (- (/ z y) (/ t y))) (taylor inf x) (#s(alt (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) #<representation:binary64>) () ())) ())
#s(alt (* x (- (+ (/ t x) (/ z y)) (/ t y))) (taylor inf x) (#s(alt (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) #<representation:binary64>) () ())) ())
#s(alt (* x (- (+ (/ t x) (/ z y)) (/ t y))) (taylor inf x) (#s(alt (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) #<representation:binary64>) () ())) ())
#s(alt (* x (- (+ (/ t x) (/ z y)) (/ t y))) (taylor inf x) (#s(alt (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) #<representation:binary64>) () ())) ())
#s(alt (/ (* x (- z t)) y) (taylor inf x) (#s(alt (.f64 (/.f64 x y) (-.f64 z t)) (patch (.f64 (/.f64 x y) (-.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (/ (* x (- z t)) y) (taylor inf x) (#s(alt (.f64 (/.f64 x y) (-.f64 z t)) (patch (.f64 (/.f64 x y) (-.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (/ (* x (- z t)) y) (taylor inf x) (#s(alt (.f64 (/.f64 x y) (-.f64 z t)) (patch (.f64 (/.f64 x y) (-.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (/ (* x (- z t)) y) (taylor inf x) (#s(alt (.f64 (/.f64 x y) (-.f64 z t)) (patch (.f64 (/.f64 x y) (-.f64 z 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 (- z t)) y) (taylor -inf x) (#s(alt (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) (taylor -inf x) (#s(alt (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) (taylor -inf x) (#s(alt (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) #<representation:binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) (taylor -inf x) (#s(alt (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) #<representation:binary64>) () ())) ())
#s(alt (/ (* x (- z t)) y) (taylor -inf x) (#s(alt (.f64 (/.f64 x y) (-.f64 z t)) (patch (.f64 (/.f64 x y) (-.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (/ (* x (- z t)) y) (taylor -inf x) (#s(alt (.f64 (/.f64 x y) (-.f64 z t)) (patch (.f64 (/.f64 x y) (-.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (/ (* x (- z t)) y) (taylor -inf x) (#s(alt (.f64 (/.f64 x y) (-.f64 z t)) (patch (.f64 (/.f64 x y) (-.f64 z t)) #<representation:binary64>) () ())) ())
#s(alt (/ (* x (- z t)) y) (taylor -inf x) (#s(alt (.f64 (/.f64 x y) (-.f64 z t)) (patch (.f64 (/.f64 x y) (-.f64 z 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
2.0ms	x	@	inf	((+ (* (/ x y) (- z t)) t) (* (/ x y) (- z t)) (/ x y) (- z t))
2.0ms	x	@	-inf	((+ (* (/ x y) (- z t)) t) (* (/ x y) (- z t)) (/ x y) (- z t))
1.0ms	y	@	0	((+ (* (/ x y) (- z t)) t) (* (/ x y) (- z t)) (/ x y) (- z t))
1.0ms	y	@	-inf	((+ (* (/ x y) (- z t)) t) (* (/ x y) (- z t)) (/ x y) (- z t))
1.0ms	z	@	-inf	((+ (* (/ x y) (- z t)) t) (* (/ x y) (- z t)) (/ x y) (- z t))

simplify133.0ms (2.1%)

Memory

13.0MiB live, 252.4MiB allocated

Algorithm

1×	egg-herbie

Rules

10 314×	`lower-fma.f64`
10 314×	`lower-fma.f32`
3 230×	`lower-*.f64`
3 230×	`lower-*.f32`
1 362×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	1245
1	280	1164
2	931	852
3	2950	852
4	5601	852
0	8095	816

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 138

Calls

Call 1

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

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

rewrite172.0ms (2.7%)

Memory

13.5MiB live, 370.6MiB allocated

Rules

4 174×	`lower-*.f32`
4 172×	`lower-*.f64`
4 088×	`lower-fma.f64`
4 088×	`lower-fma.f32`
2 278×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
0	12	22
1	49	22
2	400	22
3	5236	22
0	8258	21

Stop Event

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

Counts

4 → 357

Calls

Call 1

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

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

eval59.0ms (0.9%)

Memory: -3.2MiB live, 194.3MiB allocated
Compiler: Compiled 8 934 to 1 117 computations (87.5% saved)

prune17.0ms (0.3%)

Memory

-10.6MiB live, 71.0MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	484	11	495
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	485	11	496

Accuracy

100.0%

Counts

496 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.6%	(fma.f64 (fma.f64 (neg.f64 t) t (.f64 z z)) (/.f64 x (.f64 (+.f64 t z) y)) t)
▶	90.6%	(fma.f64 (/.f64 (-.f64 z t) y) x t)
▶	97.8%	(fma.f64 (/.f64 x y) (-.f64 z t) t)
▶	90.5%	(fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 z t)) t)
	90.5%	(+.f64 (/.f64 (/.f64 (-.f64 z t) y) (pow.f64 x #s(literal -1 binary64))) t)
	97.6%	(+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t)
	92.9%	(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
	69.6%	(+.f64 #s(approx (* (/ x y) (- z t)) (/.f64 (*.f64 z x) y)) t)
▶	62.3%	#s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 (-.f64 z t) x) y))
▶	38.3%	#s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 z x) y))
	63.9%	#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) t))

Compiler

Compiled 204 to 186 computations (8.8% saved)

simplify63.0ms (1%)

Memory

-1.9MiB live, 76.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal -1 binary64) y)
cost-diff	0	(neg.f64 x)
cost-diff	128	(fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 z t)) t)
cost-diff	320	(*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 z t))
cost-diff	0	(-.f64 z t)
cost-diff	0	(/.f64 (-.f64 z t) y)
cost-diff	0	(fma.f64 (/.f64 (-.f64 z t) y) x t)
cost-diff	0	(-.f64 z t)
cost-diff	0	(*.f64 (-.f64 z t) x)
cost-diff	0	(/.f64 (*.f64 (-.f64 z t) x) y)
cost-diff	0	#s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 (-.f64 z t) x) y))
cost-diff	0	(*.f64 z x)
cost-diff	0	(/.f64 (*.f64 z x) y)
cost-diff	0	#s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 z x) y))
cost-diff	0	(-.f64 z t)
cost-diff	0	(/.f64 x y)
cost-diff	0	(fma.f64 (/.f64 x y) (-.f64 z t) t)

Rules

1 328×	`lower-fma.f32`
1 322×	`lower-fma.f64`
592×	`lower-*.f32`
586×	`lower-*.f64`
442×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	24	129
0	38	126
1	64	125
2	133	125
3	421	124
4	1102	124
5	1610	124
6	2471	124
7	2754	124
8	2774	124
9	2781	124
10	2782	124
0	2782	124

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize85.0ms (1.3%)

Memory

-1.6MiB live, 249.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 z t)
accuracy	0	(neg.f64 x)
accuracy	0.20703125	(*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 z t))
accuracy	6.040094567863709	(fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 z t)) t)
accuracy	0	(-.f64 z t)
accuracy	0.01171875	(/.f64 (-.f64 z t) y)
accuracy	6.040094567863709	(fma.f64 (/.f64 (-.f64 z t) y) x t)
accuracy	0	(-.f64 z t)
accuracy	0.01171875	(*.f64 (-.f64 z t) x)
accuracy	4.822494176584178	(/.f64 (*.f64 (-.f64 z t) x) y)
accuracy	20.459880471229646	#s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 (-.f64 z t) x) y))
accuracy	0	(*.f64 z x)
accuracy	5.416301152588954	(/.f64 (*.f64 z x) y)
accuracy	36.926718208048136	#s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 z x) y))
accuracy	0	(/.f64 x y)
accuracy	0	(-.f64 z t)
accuracy	1.3912431066087652	(fma.f64 (/.f64 x y) (-.f64 z t) t)

Samples

67.0ms

256×

valid

Compiler

Compiled 122 to 23 computations (81.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-mult: 36.0ms (70.8% of total)

ival-div: 9.0ms (17.7% of total)

ival-add: 3.0ms (5.9% of total)

ival-sub: 1.0ms (2% of total)

ival-neg: 1.0ms (2% of total)

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

exact: 0.0ms (0% of total)

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

series36.0ms (0.6%)

Memory

-11.6MiB live, 108.3MiB allocated

Counts

15 → 528

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	y	@	-inf	((+ (* (/ x y) (- z t)) t) (/ x y) (- z t) (+ (* (/ x y) (- z t)) t) (/ (* z x) y) (* z x) (+ (* (/ x y) (- z t)) t) (/ (* (- z t) x) y) (* (- z t) x) (+ (* (/ (- z t) y) x) t) (/ (- z t) y) (* (/ -1 y) (- z t)) (+ (* (neg x) (* (/ -1 y) (- z t))) t) (neg x) (/ -1 y))
3.0ms	z	@	0	((+ (* (/ x y) (- z t)) t) (/ x y) (- z t) (+ (* (/ x y) (- z t)) t) (/ (* z x) y) (* z x) (+ (* (/ x y) (- z t)) t) (/ (* (- z t) x) y) (* (- z t) x) (+ (* (/ (- z t) y) x) t) (/ (- z t) y) (* (/ -1 y) (- z t)) (+ (* (neg x) (* (/ -1 y) (- z t))) t) (neg x) (/ -1 y))
2.0ms	z	@	-inf	((+ (* (/ x y) (- z t)) t) (/ x y) (- z t) (+ (* (/ x y) (- z t)) t) (/ (* z x) y) (* z x) (+ (* (/ x y) (- z t)) t) (/ (* (- z t) x) y) (* (- z t) x) (+ (* (/ (- z t) y) x) t) (/ (- z t) y) (* (/ -1 y) (- z t)) (+ (* (neg x) (* (/ -1 y) (- z t))) t) (neg x) (/ -1 y))
2.0ms	x	@	-inf	((+ (* (/ x y) (- z t)) t) (/ x y) (- z t) (+ (* (/ x y) (- z t)) t) (/ (* z x) y) (* z x) (+ (* (/ x y) (- z t)) t) (/ (* (- z t) x) y) (* (- z t) x) (+ (* (/ (- z t) y) x) t) (/ (- z t) y) (* (/ -1 y) (- z t)) (+ (* (neg x) (* (/ -1 y) (- z t))) t) (neg x) (/ -1 y))
2.0ms	y	@	0	((+ (* (/ x y) (- z t)) t) (/ x y) (- z t) (+ (* (/ x y) (- z t)) t) (/ (* z x) y) (* z x) (+ (* (/ x y) (- z t)) t) (/ (* (- z t) x) y) (* (- z t) x) (+ (* (/ (- z t) y) x) t) (/ (- z t) y) (* (/ -1 y) (- z t)) (+ (* (neg x) (* (/ -1 y) (- z t))) t) (neg x) (/ -1 y))

simplify156.0ms (2.4%)

Memory

32.5MiB live, 267.7MiB allocated

Algorithm

1×	egg-herbie

Rules

11 334×	`lower-fma.f64`
11 334×	`lower-fma.f32`
3 802×	`lower-*.f64`
3 802×	`lower-*.f32`
1 092×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	127	4542
1	413	4185
2	1350	3237
3	3977	3237
4	6162	3237
0	8284	3057

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 510

Calls

Call 1

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

rewrite225.0ms (3.5%)

Memory

-12.5MiB live, 462.4MiB allocated

Rules

9 056×	`lower-fma.f32`
9 050×	`lower-fma.f64`
6 078×	`lower-*.f32`
6 072×	`lower-*.f64`
3 234×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	100
0	38	97
1	137	96
2	953	95
0	8577	95

Stop Event

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

Counts

15 → 1 661

Calls

Call 1

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

Outputs
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (-.f64 z t) y) x) #s(literal 2 binary64)) (.f64 t t)) (-.f64 (pow.f64 (.f64 (/.f64 (-.f64 z t) y) x) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (+.f64 (hypot.f64 (.f64 (/.f64 (-.f64 z t) y) x) t) (.f64 (*.f64 (/.f64 (-.f64 z t) y) x) t)))
(.f64 (/.f64 (hypot.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 (/.f64 y (.f64 (-.f64 z t) x)) #s(literal -3/2 binary64))) (-.f64 (pow.f64 (.f64 (/.f64 (-.f64 z t) y) x) #s(literal 4 binary64)) (pow.f64 (.f64 t (-.f64 t (.f64 (/.f64 (-.f64 z t) y) x))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 (/.f64 (-.f64 z t) y) x) #s(literal 2 binary64)) (.f64 t (-.f64 t (.f64 (/.f64 (-.f64 z t) y) x)))))
(.f64 (/.f64 (hypot.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 (/.f64 y (.f64 (-.f64 z t) x)) #s(literal -3/2 binary64))) (+.f64 (pow.f64 (.f64 (/.f64 (-.f64 z t) y) x) #s(literal 6 binary64)) (pow.f64 (.f64 t (-.f64 t (.f64 (/.f64 (-.f64 z t) y) x))) #s(literal 3 binary64)))) (-.f64 (hypot.f64 (pow.f64 (.f64 (/.f64 (-.f64 z t) y) x) #s(literal 2 binary64)) (.f64 t (-.f64 t (.f64 (/.f64 (-.f64 z t) y) x)))) (.f64 (.f64 (pow.f64 (.f64 (/.f64 (-.f64 z t) y) x) #s(literal 2 binary64)) t) (-.f64 t (.f64 (/.f64 (-.f64 z t) y) x)))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (-.f64 z t) y) x) #s(literal 2 binary64)) (.f64 t t)) (-.f64 (pow.f64 (.f64 (/.f64 (-.f64 z t) y) x) #s(literal 2 binary64)) (*.f64 t t))) (fma.f64 (-.f64 z t) (/.f64 x y) t))
(.f64 (-.f64 (.f64 t t) (pow.f64 (.f64 (/.f64 (-.f64 z t) y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 t (.f64 (/.f64 (-.f64 z t) y) x))))
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eval612.0ms (9.5%)

Memory: -112.5MiB live, 672.9MiB allocated
Compiler: Compiled 42 913 to 3 781 computations (91.2% saved)

prune75.0ms (1.2%)

Memory

-5.1MiB live, 205.5MiB allocated

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	2 470	10	2 480
Fresh	4	2	6
Picked	2	3	5
Done	0	0	0
Total	2 476	15	2 491

Accuracy

100.0%

Counts

2 491 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.8%	(fma.f64 (/.f64 (/.f64 (fma.f64 z y (*.f64 (neg.f64 y) t)) y) y) x t)
	58.9%	(fma.f64 (/.f64 #s(approx (- z t) (neg.f64 t)) y) x t)
✓	97.8%	(fma.f64 (/.f64 x y) (-.f64 z t) t)
▶	63.9%	(fma.f64 (/.f64 x y) #s(approx (- z t) (neg.f64 t)) t)
	89.3%	(fma.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x t)
▶	68.4%	(fma.f64 #s(approx (/ (- z t) y) (/.f64 z y)) x t)
▶	92.9%	(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
	69.6%	(+.f64 #s(approx (* (/ x y) (- z t)) (/.f64 (*.f64 z x) y)) t)
✓	62.3%	#s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 (-.f64 z t) x) y))
▶	29.9%	#s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y))
✓	38.3%	#s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 z x) y))
	43.4%	#s(approx (+ (* (/ x y) (- z t)) t) (/.f64 z (/.f64 y x)))
	37.5%	#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 z y) x))
▶	43.7%	#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 x y) z))
	29.5%	#s(approx (+ (* (/ x y) (- z t)) t) #s(approx (/ (* (- z t) x) y) (*.f64 (/.f64 (neg.f64 t) y) x)))

Compiler

Compiled 218 to 214 computations (1.8% saved)

simplify86.0ms (1.3%)

Memory

6.8MiB live, 84.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 t)
cost-diff	0	#s(approx (- z t) (neg.f64 t))
cost-diff	0	(/.f64 x y)
cost-diff	0	(fma.f64 (/.f64 x y) #s(approx (- z t) (neg.f64 t)) t)
cost-diff	0	#s(approx (- z t) (neg.f64 t))
cost-diff	0	(*.f64 #s(approx (- z t) (neg.f64 t)) x)
cost-diff	0	(/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y)
cost-diff	0	#s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y))
cost-diff	0	(/.f64 z y)
cost-diff	0	#s(approx (/ (- z t) y) (/.f64 z y))
cost-diff	0	(fma.f64 #s(approx (/ (- z t) y) (/.f64 z y)) x t)
cost-diff	0	(/.f64 x y)
cost-diff	0	(*.f64 (/.f64 x y) z)
cost-diff	0	#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 x y) z))
cost-diff	0	(-.f64 z t)
cost-diff	0	(*.f64 (-.f64 z t) x)
cost-diff	0	(/.f64 (*.f64 (-.f64 z t) x) y)
cost-diff	128	(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)

Rules

1 680×	`lower-fma.f32`
1 676×	`lower-fma.f64`
816×	`lower-*.f32`
810×	`lower-*.f64`
566×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	156
0	40	156
1	62	156
2	84	156
3	150	156
4	245	156
5	342	156
6	544	156
7	961	156
8	1671	156
9	2472	156
10	2759	156
11	3125	156
12	3161	156
13	3161	156
0	3161	153

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize59.0ms (0.9%)

Memory

9.8MiB live, 130.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 x y)
accuracy	0	(neg.f64 t)
accuracy	1.3912431066087652	(fma.f64 (/.f64 x y) #s(approx (- z t) (neg.f64 t)) t)
accuracy	31.16391581412141	#s(approx (- z t) (neg.f64 t))
accuracy	0.01171875	(*.f64 #s(approx (- z t) (neg.f64 t)) x)
accuracy	4.822494176584178	(/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y)
accuracy	20.459880471229646	#s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y))
accuracy	31.16391581412141	#s(approx (- z t) (neg.f64 t))
accuracy	0	(/.f64 z y)
accuracy	6.040094567863709	(fma.f64 #s(approx (/ (- z t) y) (/.f64 z y)) x t)
accuracy	30.41613852823364	#s(approx (/ (- z t) y) (/.f64 z y))
accuracy	0	(/.f64 x y)
accuracy	4.072351693951884	(*.f64 (/.f64 x y) z)
accuracy	36.926718208048136	#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 x y) z))
accuracy	0	(-.f64 z t)
accuracy	0	(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
accuracy	0.01171875	(*.f64 (-.f64 z t) x)
accuracy	4.822494176584178	(/.f64 (*.f64 (-.f64 z t) x) y)

Samples

43.0ms

256×

valid

Compiler

Compiled 120 to 19 computations (84.2% saved)

Precisions

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

ival-div: 7.0ms (33.1% of total)

ival-mult: 6.0ms (28.3% of total)

ival-sub: 4.0ms (18.9% of total)

ival-add: 3.0ms (14.2% of total)

ival-neg: 1.0ms (4.7% of total)

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

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

series30.0ms (0.5%)

Memory

-17.7MiB live, 59.2MiB allocated

Counts

16 → 588

Calls

Call 1

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

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

Calls

12 calls:

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

simplify156.0ms (2.4%)

Memory

22.3MiB live, 261.4MiB allocated

Algorithm

1×	egg-herbie

Rules

9 648×	`lower-fma.f64`
9 648×	`lower-fma.f32`
3 010×	`lower-*.f64`
3 010×	`lower-*.f32`
996×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	122	5106
1	398	4647
2	1277	3591
3	3855	3591
4	7116	3591
0	8098	3411

Stop Event

1×	iter limit
1×	node limit

Counts

588 → 567

Calls

Call 1

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

rewrite177.0ms (2.7%)

Memory

-16.8MiB live, 311.7MiB allocated

Rules

6 404×	`lower-fma.f32`
6 400×	`lower-fma.f64`
4 650×	`lower-*.f32`
4 644×	`lower-*.f64`
3 900×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	128
0	40	128
1	146	128
2	988	128
0	8741	125

Stop Event

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

Counts

16 → 604

Calls

Call 1

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

Outputs
(.f64 (-.f64 (.f64 t t) (pow.f64 (/.f64 (/.f64 y (-.f64 z t)) x) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 t (*.f64 (/.f64 x y) (-.f64 z t)))))
(.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 y (-.f64 z t)) x) #s(literal -2 binary64)) (.f64 t t))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (/.f64 (-.f64 z t) y) t)))
(.f64 (neg.f64 (hypot.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 (/.f64 (/.f64 y (-.f64 z t)) x) #s(literal -3/2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (hypot.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (.f64 (/.f64 x y) (.f64 (-.f64 z t) t))))))
(.f64 (-.f64 (pow.f64 (/.f64 (/.f64 y (-.f64 z t)) x) #s(literal -2 binary64)) (.f64 t t)) (pow.f64 (fma.f64 x (/.f64 (-.f64 z t) y) (neg.f64 t)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (-.f64 z t) t))
(*.f64 (hypot.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 (/.f64 (/.f64 y (-.f64 z t)) x) #s(literal -3/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (/.f64 (fma.f64 x (/.f64 (-.f64 z t) y) (neg.f64 t)) (/.f64 (/.f64 y (-.f64 z t)) x)))))
(.f64 (hypot.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 (/.f64 (/.f64 y (-.f64 z t)) x) #s(literal -3/2 binary64))) (pow.f64 (-.f64 (hypot.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (.f64 (/.f64 x y) (.f64 (-.f64 z t) t))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (-.f64 z t) t)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (/.f64 (/.f64 y (-.f64 z t)) x) #s(literal -2 binary64)) (fma.f64 x (/.f64 (-.f64 z t) y) (neg.f64 t))) (/.f64 (pow.f64 (/.f64 (/.f64 y (-.f64 z t)) x) #s(literal -2 binary64)) (fma.f64 x (/.f64 (-.f64 z t) y) (neg.f64 t)))) (.f64 (/.f64 (.f64 t t) (fma.f64 x (/.f64 (-.f64 z t) y) (neg.f64 t))) (/.f64 (.f64 t t) (fma.f64 x (/.f64 (-.f64 z t) y) (neg.f64 t))))) (+.f64 (/.f64 (pow.f64 (/.f64 (/.f64 y (-.f64 z t)) x) #s(literal -2 binary64)) (fma.f64 x (/.f64 (-.f64 z t) y) (neg.f64 t))) (/.f64 (*.f64 t t) (fma.f64 x (/.f64 (-.f64 z t) y) (neg.f64 t)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (/.f64 y (-.f64 z t)) x) #s(literal -2 binary64)) (fma.f64 x (/.f64 (-.f64 z t) y) (neg.f64 t))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 t t) (fma.f64 x (/.f64 (-.f64 z t) y) (neg.f64 t))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 (/.f64 y (-.f64 z t)) x) #s(literal -2 binary64)) (fma.f64 x (/.f64 (-.f64 z t) y) (neg.f64 t))) (/.f64 (pow.f64 (/.f64 (/.f64 y (-.f64 z t)) x) #s(literal -2 binary64)) (fma.f64 x (/.f64 (-.f64 z t) y) (neg.f64 t))) (fma.f64 (/.f64 (.f64 t t) (fma.f64 x (/.f64 (-.f64 z t) y) (neg.f64 t))) (/.f64 (.f64 t t) (fma.f64 x (/.f64 (-.f64 z t) y) (neg.f64 t))) (.f64 (/.f64 (pow.f64 (/.f64 (/.f64 y (-.f64 z t)) x) #s(literal -2 binary64)) (fma.f64 x (/.f64 (-.f64 z t) y) (neg.f64 t))) (/.f64 (*.f64 t t) (fma.f64 x (/.f64 (-.f64 z t) y) (neg.f64 t)))))))
(/.f64 (neg.f64 (-.f64 (.f64 t t) (pow.f64 (/.f64 (/.f64 y (-.f64 z t)) x) #s(literal -2 binary64)))) (neg.f64 (-.f64 t (.f64 (/.f64 x y) (-.f64 z t)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 y (-.f64 z t)) x) #s(literal -2 binary64)) (*.f64 t t)))) (fma.f64 x (/.f64 (-.f64 z t) y) (neg.f64 t)))
(/.f64 (neg.f64 (neg.f64 (hypot.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 (/.f64 (/.f64 y (-.f64 z t)) x) #s(literal -3/2 binary64))))) (neg.f64 (neg.f64 (-.f64 (hypot.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (.f64 (/.f64 x y) (*.f64 (-.f64 z t) t))))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 (/.f64 y (-.f64 z t)) x) #s(literal -2 binary64)) (fma.f64 x (/.f64 (-.f64 z t) y) (neg.f64 t))) (.f64 (fma.f64 x (/.f64 (-.f64 z t) y) (neg.f64 t)) (.f64 t t))) (.f64 (fma.f64 x (/.f64 (-.f64 z t) y) (neg.f64 t)) (fma.f64 x (/.f64 (-.f64 z t) y) (neg.f64 t))))
(/.f64 (-.f64 (.f64 t t) (pow.f64 (/.f64 (/.f64 y (-.f64 z t)) x) #s(literal -2 binary64))) (-.f64 t (.f64 (/.f64 x y) (-.f64 z t))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 y (-.f64 z t)) x) #s(literal -2 binary64)) (*.f64 t t))) (fma.f64 (neg.f64 x) (/.f64 (-.f64 z t) y) t))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 (/.f64 (/.f64 y (-.f64 z t)) x) #s(literal -3/2 binary64)))) (neg.f64 (fma.f64 t t (/.f64 (fma.f64 x (/.f64 (-.f64 z t) y) (neg.f64 t)) (/.f64 (/.f64 y (-.f64 z t)) x)))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 (/.f64 (/.f64 y (-.f64 z t)) x) #s(literal -3/2 binary64)))) (neg.f64 (-.f64 (hypot.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (.f64 (/.f64 x y) (*.f64 (-.f64 z t) t)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 y (-.f64 z t)) x) #s(literal -2 binary64)) (*.f64 t t)) (fma.f64 x (/.f64 (-.f64 z t) y) (neg.f64 t)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (-.f64 z t) t))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 t (.f64 (/.f64 x y) (-.f64 z t))) (-.f64 (.f64 t t) (pow.f64 (/.f64 (/.f64 y (-.f64 z t)) x) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (-.f64 z t) t)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t t (/.f64 (fma.f64 x (/.f64 (-.f64 z t) y) (neg.f64 t)) (/.f64 (/.f64 y (-.f64 z t)) x))) (hypot.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 (/.f64 (/.f64 y (-.f64 z t)) x) #s(literal -3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (-.f64 z t) t)))
(/.f64 (hypot.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 (/.f64 (/.f64 y (-.f64 z t)) x) #s(literal -3/2 binary64))) (fma.f64 t t (/.f64 (fma.f64 x (/.f64 (-.f64 z t) y) (neg.f64 t)) (/.f64 (/.f64 y (-.f64 z t)) x))))
(/.f64 (hypot.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 (/.f64 (/.f64 y (-.f64 z t)) x) #s(literal -3/2 binary64))) (-.f64 (hypot.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (.f64 (/.f64 x y) (*.f64 (-.f64 z t) t))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 y (-.f64 z t)) x) #s(literal -2 binary64)) (*.f64 t t))) (fma.f64 x (/.f64 (-.f64 z t) y) (neg.f64 t))))
(neg.f64 (/.f64 (neg.f64 (hypot.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 (/.f64 (/.f64 y (-.f64 z t)) x) #s(literal -3/2 binary64)))) (-.f64 (hypot.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (.f64 (/.f64 x y) (*.f64 (-.f64 z t) t)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 y (-.f64 z t)) x) #s(literal -2 binary64)) (*.f64 t t)) (fma.f64 (neg.f64 x) (/.f64 (-.f64 z t) y) t)))
(neg.f64 (/.f64 (hypot.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 (/.f64 (/.f64 y (-.f64 z t)) x) #s(literal -3/2 binary64))) (neg.f64 (-.f64 (hypot.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (.f64 (/.f64 x y) (*.f64 (-.f64 z t) t))))))
(fma.f64 (pow.f64 (/.f64 (/.f64 y (-.f64 z t)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 y (-.f64 z t)) x) #s(literal -1/2 binary64)) t)
(fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) z t) #s(literal -1 binary64)) (/.f64 x y) t)
(fma.f64 (/.f64 (-.f64 z t) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y) t)
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1 binary64) z t) y) t)
(fma.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (-.f64 z t) y) t)
(fma.f64 (.f64 (.f64 (+.f64 t z) (-.f64 z t)) (/.f64 x y)) (pow.f64 (+.f64 t z) #s(literal -1 binary64)) t)
(fma.f64 (.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (/.f64 x y)) (pow.f64 (+.f64 (hypot.f64 z t) (.f64 t z)) #s(literal -1 binary64)) t)
(fma.f64 (/.f64 (*.f64 (+.f64 t z) (-.f64 z t)) y) (/.f64 (pow.f64 (+.f64 t z) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) t)
(fma.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) y) (/.f64 (pow.f64 (+.f64 (hypot.f64 z t) (*.f64 t z)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) t)
(fma.f64 (.f64 (/.f64 x y) (.f64 (+.f64 t z) (-.f64 z t))) (pow.f64 (+.f64 t z) #s(literal -1 binary64)) t)
(fma.f64 (.f64 (/.f64 x y) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (pow.f64 (+.f64 (hypot.f64 z t) (.f64 t z)) #s(literal -1 binary64)) t)
(fma.f64 (.f64 (neg.f64 x) (.f64 (+.f64 t z) (-.f64 z t))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (+.f64 t z))) t)
(fma.f64 (.f64 (neg.f64 x) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) (+.f64 (hypot.f64 z t) (*.f64 t z)))) t)
(fma.f64 (.f64 x (.f64 (+.f64 t z) (-.f64 z t))) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 t z))) t)
(fma.f64 (.f64 x (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 y (+.f64 (hypot.f64 z t) (*.f64 t z)))) t)
(fma.f64 (.f64 (.f64 (+.f64 t z) (-.f64 z t)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 t z) (neg.f64 y))) t)
(fma.f64 (.f64 (.f64 (+.f64 t z) (-.f64 z t)) x) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 t z) y)) t)
(fma.f64 (.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (hypot.f64 z t) (*.f64 t z)) (neg.f64 y))) t)
(fma.f64 (.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) x) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (hypot.f64 z t) (*.f64 t z)) y)) t)
(fma.f64 (.f64 (+.f64 t z) (-.f64 z t)) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) (+.f64 t z))) t)
(fma.f64 (.f64 (+.f64 t z) (-.f64 z t)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 t z) (/.f64 y x))) t)
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) z t) x) y) t)
(fma.f64 #s(literal -1 binary64) (neg.f64 t) (*.f64 (/.f64 x y) (-.f64 z t)))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (-.f64 z t) (pow.f64 x #s(literal -1 binary64))) t)
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (-.f64 z t) x) #s(literal -1 binary64)) #s(literal -1 binary64)) t)
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 z t) x) t)
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) (-.f64 z t)) t)
(fma.f64 #s(literal 1 binary64) t (*.f64 (/.f64 x y) (-.f64 z t)))
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eval151.0ms (2.3%)

Memory: -3.6MiB live, 339.1MiB allocated
Compiler: Compiled 17 063 to 1 882 computations (89% saved)

prune56.0ms (0.9%)

Memory

20.7MiB live, 150.7MiB allocated

Pruning

15 alts after pruning (8 fresh and 7 done)

	Pruned	Kept	Total
New	1 262	3	1 265
Fresh	2	5	7
Picked	1	4	5
Done	0	3	3
Total	1 265	15	1 280

Accuracy

100.0%

Counts

1 280 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.8%	(fma.f64 (/.f64 (/.f64 (fma.f64 z y (*.f64 (neg.f64 y) t)) y) y) x t)
▶	58.9%	(fma.f64 (/.f64 #s(approx (- z t) (neg.f64 t)) y) x t)
✓	97.8%	(fma.f64 (/.f64 x y) (-.f64 z t) t)
▶	89.3%	(fma.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x t)
✓	68.4%	(fma.f64 #s(approx (/ (- z t) y) (/.f64 z y)) x t)
✓	92.9%	(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
	69.6%	(+.f64 (/.f64 #s(approx (* (- z t) x) (*.f64 z x)) y) t)
✓	62.3%	#s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 (-.f64 z t) x) y))
✓	29.9%	#s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y))
✓	38.3%	#s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 z x) y))
	43.4%	#s(approx (+ (* (/ x y) (- z t)) t) (/.f64 z (/.f64 y x)))
▶	37.5%	#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 z y) x))
▶	32.3%	#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 x y) #s(approx (- z t) (neg.f64 t))))
✓	43.7%	#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 x y) z))
	29.5%	#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 x (/.f64 #s(approx (- z t) (neg.f64 t)) y)))

Compiler

Compiled 188 to 185 computations (1.6% saved)

simplify150.0ms (2.3%)

Memory

-8.6MiB live, 183.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (/.f64 (fma.f64 z y (*.f64 (neg.f64 y) t)) y) y)
cost-diff	0	(fma.f64 (/.f64 (/.f64 (fma.f64 z y (*.f64 (neg.f64 y) t)) y) y) x t)
cost-diff	320	(fma.f64 z y (*.f64 (neg.f64 y) t))
cost-diff	1024	(/.f64 (fma.f64 z y (*.f64 (neg.f64 y) t)) y)
cost-diff	0	(neg.f64 t)
cost-diff	0	#s(approx (- z t) (neg.f64 t))
cost-diff	0	(/.f64 #s(approx (- z t) (neg.f64 t)) y)
cost-diff	0	(fma.f64 (/.f64 #s(approx (- z t) (neg.f64 t)) y) x t)
cost-diff	0	#s(approx (- z t) (neg.f64 t))
cost-diff	0	(/.f64 x y)
cost-diff	0	(*.f64 (/.f64 x y) #s(approx (- z t) (neg.f64 t)))
cost-diff	0	#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 x y) #s(approx (- z t) (neg.f64 t))))
cost-diff	0	(/.f64 z y)
cost-diff	0	(*.f64 (/.f64 z y) x)
cost-diff	0	#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 z y) x))
cost-diff	0	(/.f64 t y)
cost-diff	0	(/.f64 z y)
cost-diff	0	(fma.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x t)
cost-diff	704	(-.f64 (/.f64 z y) (/.f64 t y))

Rules

8 550×	`lower-fma.f32`
8 544×	`lower-fma.f64`
3 414×	`lower-*.f32`
3 408×	`lower-*.f64`
1 260×	`lower--.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	27	178
0	47	170
1	83	170
2	134	156
3	256	156
4	462	154
5	838	152
6	2008	152
7	4161	152
8	6265	152
9	7999	152
0	8002	152

Stop Event

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

Calls

Call 1

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

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

localize74.0ms (1.1%)

Memory

11.4MiB live, 174.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(/.f64 (/.f64 (fma.f64 z y (*.f64 (neg.f64 y) t)) y) y)
accuracy	0.49999449521112044	(fma.f64 z y (*.f64 (neg.f64 y) t))
accuracy	6.040094567863709	(fma.f64 (/.f64 (/.f64 (fma.f64 z y (*.f64 (neg.f64 y) t)) y) y) x t)
accuracy	14.198158296219747	(/.f64 (fma.f64 z y (*.f64 (neg.f64 y) t)) y)
accuracy	0	(neg.f64 t)
accuracy	0.01171875	(/.f64 #s(approx (- z t) (neg.f64 t)) y)
accuracy	6.040094567863709	(fma.f64 (/.f64 #s(approx (- z t) (neg.f64 t)) y) x t)
accuracy	31.16391581412141	#s(approx (- z t) (neg.f64 t))
accuracy	0	(neg.f64 t)
accuracy	4.390489755447916	(*.f64 (/.f64 x y) #s(approx (- z t) (neg.f64 t)))
accuracy	20.459880471229646	#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 x y) #s(approx (- z t) (neg.f64 t))))
accuracy	31.16391581412141	#s(approx (- z t) (neg.f64 t))
accuracy	0	(/.f64 z y)
accuracy	6.160624997758474	(*.f64 (/.f64 z y) x)
accuracy	36.926718208048136	#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 z y) x))
accuracy	0	(/.f64 z y)
accuracy	0	(/.f64 t y)
accuracy	1.1601500574906174	(-.f64 (/.f64 z y) (/.f64 t y))
accuracy	6.040094567863709	(fma.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x t)

Samples

56.0ms

256×

valid

Compiler

Compiled 155 to 28 computations (81.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-div: 17.0ms (43.6% of total)

ival-mult: 10.0ms (25.7% of total)

ival-add: 5.0ms (12.8% of total)

ival-neg: 4.0ms (10.3% of total)

ival-sub: 2.0ms (5.1% of total)

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

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

series60.0ms (0.9%)

Memory

-30.5MiB live, 88.0MiB allocated

Counts

17 → 612

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	y	@	-inf	((- (/ z y) (/ t y)) (+ (* (- (/ z y) (/ t y)) x) t) (/ z y) (/ t y) (+ (* (/ x y) (- z t)) t) (* (/ z y) x) (+ (* (/ x y) (- z t)) t) (* (/ x y) (- z t)) (/ x y) (- z t) (+ (* (/ (- z t) y) x) t) (/ (- z t) y) (neg t) (/ (+ (* z y) (* (neg y) t)) y) (+ (* z y) (* (neg y) t)) (+ (* (/ (/ (+ (* z y) (* (neg y) t)) y) y) x) t) (/ (/ (+ (* z y) (* (neg y) t)) y) y))
4.0ms	t	@	inf	((- (/ z y) (/ t y)) (+ (* (- (/ z y) (/ t y)) x) t) (/ z y) (/ t y) (+ (* (/ x y) (- z t)) t) (* (/ z y) x) (+ (* (/ x y) (- z t)) t) (* (/ x y) (- z t)) (/ x y) (- z t) (+ (* (/ (- z t) y) x) t) (/ (- z t) y) (neg t) (/ (+ (* z y) (* (neg y) t)) y) (+ (* z y) (* (neg y) t)) (+ (* (/ (/ (+ (* z y) (* (neg y) t)) y) y) x) t) (/ (/ (+ (* z y) (* (neg y) t)) y) y))
3.0ms	y	@	0	((- (/ z y) (/ t y)) (+ (* (- (/ z y) (/ t y)) x) t) (/ z y) (/ t y) (+ (* (/ x y) (- z t)) t) (* (/ z y) x) (+ (* (/ x y) (- z t)) t) (* (/ x y) (- z t)) (/ x y) (- z t) (+ (* (/ (- z t) y) x) t) (/ (- z t) y) (neg t) (/ (+ (* z y) (* (neg y) t)) y) (+ (* z y) (* (neg y) t)) (+ (* (/ (/ (+ (* z y) (* (neg y) t)) y) y) x) t) (/ (/ (+ (* z y) (* (neg y) t)) y) y))
3.0ms	z	@	-inf	((- (/ z y) (/ t y)) (+ (* (- (/ z y) (/ t y)) x) t) (/ z y) (/ t y) (+ (* (/ x y) (- z t)) t) (* (/ z y) x) (+ (* (/ x y) (- z t)) t) (* (/ x y) (- z t)) (/ x y) (- z t) (+ (* (/ (- z t) y) x) t) (/ (- z t) y) (neg t) (/ (+ (* z y) (* (neg y) t)) y) (+ (* z y) (* (neg y) t)) (+ (* (/ (/ (+ (* z y) (* (neg y) t)) y) y) x) t) (/ (/ (+ (* z y) (* (neg y) t)) y) y))
2.0ms	z	@	0	((- (/ z y) (/ t y)) (+ (* (- (/ z y) (/ t y)) x) t) (/ z y) (/ t y) (+ (* (/ x y) (- z t)) t) (* (/ z y) x) (+ (* (/ x y) (- z t)) t) (* (/ x y) (- z t)) (/ x y) (- z t) (+ (* (/ (- z t) y) x) t) (/ (- z t) y) (neg t) (/ (+ (* z y) (* (neg y) t)) y) (+ (* z y) (* (neg y) t)) (+ (* (/ (/ (+ (* z y) (* (neg y) t)) y) y) x) t) (/ (/ (+ (* z y) (* (neg y) t)) y) y))

simplify169.0ms (2.6%)

Memory

23.5MiB live, 252.2MiB allocated

Algorithm

1×	egg-herbie

Rules

8 046×	`lower-fma.f64`
8 046×	`lower-fma.f32`
2 624×	`lower-*.f64`
2 624×	`lower-*.f32`
1 694×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	164	4698
1	562	3567
2	1674	3567
3	5038	3567
0	8306	3387

Stop Event

1×	iter limit
1×	node limit

Counts

612 → 591

Calls

Call 1

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

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

rewrite212.0ms (3.3%)

Memory

25.3MiB live, 343.5MiB allocated

Rules

4 784×	`lower-*.f32`
4 778×	`lower-*.f64`
4 352×	`lower-/.f32`
4 340×	`lower-/.f64`
3 578×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	144
0	47	128
1	194	122
2	1723	122
0	8384	122

Stop Event

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

Counts

17 → 834

Calls

Call 1

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

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

eval368.0ms (5.7%)

Memory: -13.6MiB live, 418.9MiB allocated
Compiler: Compiled 23 259 to 2 175 computations (90.6% saved)

prune52.0ms (0.8%)

Memory

21.0MiB live, 144.7MiB allocated

Pruning

16 alts after pruning (5 fresh and 11 done)

	Pruned	Kept	Total
New	1 517	3	1 520
Fresh	1	2	3
Picked	1	4	5
Done	0	7	7
Total	1 519	16	1 535

Accuracy

100.0%

Counts

1 535 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.5%	(fma.f64 (/.f64 (/.f64 #s(approx (+ (* z y) (* (neg y) t)) (*.f64 y z)) y) y) x t)
✓	58.9%	(fma.f64 (/.f64 #s(approx (- z t) (neg.f64 t)) y) x t)
✓	97.8%	(fma.f64 (/.f64 x y) (-.f64 z t) t)
	79.3%	(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y (-.f64 z t))))) (/.f64 x (neg.f64 y)) t)
✓	89.3%	(fma.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x t)
✓	68.4%	(fma.f64 #s(approx (/ (- z t) y) (/.f64 z y)) x t)
✓	92.9%	(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
	69.6%	(+.f64 (/.f64 #s(approx (* (- z t) x) (*.f64 z x)) y) t)
✓	62.3%	#s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 (-.f64 z t) x) y))
✓	29.9%	#s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y))
✓	38.3%	#s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 z x) y))
	43.4%	#s(approx (+ (* (/ x y) (- z t)) t) (/.f64 z (/.f64 y x)))
	29.5%	#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 #s(approx (- z t) (neg.f64 t)) y) x))
✓	37.5%	#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 z y) x))
✓	32.3%	#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 x y) #s(approx (- z t) (neg.f64 t))))
✓	43.7%	#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 x y) z))

Compiler

Compiled 384 to 222 computations (42.2% saved)

regimes96.0ms (1.5%)

Memory

-29.8MiB live, 87.4MiB allocated

Counts

28 → 1

Calls

Call 1

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

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

Calls

6 calls:

39.0ms	x
19.0ms	t
9.0ms	z
8.0ms	y
8.0ms	(/.f64 x y)

Results

Accuracy	Segments	Branch
97.8%	1	`x`
97.8%	1	`y`
97.8%	1	`z`
97.8%	1	`t`
97.8%	1	`(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)`
97.8%	1	`(/.f64 x y)`

Compiler

Compiled 16 to 29 computations (-81.3% saved)

regimes34.0ms (0.5%)

Memory

23.6MiB live, 60.1MiB allocated

Counts

15 → 3

Calls

Call 1

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

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

Calls

6 calls:

8.0ms	t
5.0ms	z
5.0ms	y
5.0ms	x
5.0ms	(/.f64 x y)

Results

Accuracy	Segments	Branch
84.5%	4	`x`
83.8%	3	`z`
84.0%	3	`t`
82.9%	4	`(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)`
93.4%	3	`(/.f64 x y)`
84.4%	3	`y`

Compiler

Compiled 16 to 29 computations (-81.3% saved)

regimes4.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated

Counts

11 → 3

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

(/.f64 x y)

Results

Accuracy	Segments	Branch
92.7%	3	`(/.f64 x y)`

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes53.0ms (0.8%)

Memory

-7.5MiB live, 29.0MiB allocated

Counts

10 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

37.0ms	(/.f64 x y)
4.0ms	t
4.0ms	z
4.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
71.9%	2	`x`
82.8%	3	`z`
82.9%	3	`t`
73.9%	4	`y`
78.6%	4	`(/.f64 x y)`

Compiler

Compiled 7 to 21 computations (-200% saved)

regimes18.0ms (0.3%)

Memory

-14.9MiB live, 21.2MiB allocated

Counts

9 → 4

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	(/.f64 x y)
4.0ms	z
3.0ms	t
3.0ms	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)

Results

Accuracy	Segments	Branch
78.6%	4	`(/.f64 x y)`
68.4%	1	`(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)`
73.4%	3	`z`
68.4%	1	`t`

Compiler

Compiled 14 to 21 computations (-50% saved)

regimes3.0ms (0%)

Memory

6.2MiB live, 6.2MiB allocated

Counts

6 → 4

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

(/.f64 x y)

Results

Accuracy	Segments	Branch
77.2%	4	`(/.f64 x y)`

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes7.0ms (0.1%)

Memory

16.3MiB live, 16.3MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	z
2.0ms	x
2.0ms	(/.f64 x y)

Results

Accuracy	Segments	Branch
68.4%	1	`z`
70.5%	2	`x`
71.6%	2	`(/.f64 x y)`

Compiler

Compiled 5 to 13 computations (-160% saved)

regimes22.0ms (0.3%)

Memory

-58.7MiB live, 20.5MiB allocated

Accuracy

Total -6.8b remaining (-18.8%)

Threshold costs -6.8b (-18.8%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

6 calls:

12.0ms	x
2.0ms	z
2.0ms	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
2.0ms	t
2.0ms	y

Results

Accuracy	Segments	Branch
43.7%	1	`z`
43.7%	1	`t`
43.7%	1	`(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)`
43.7%	1	`x`
43.7%	1	`y`
43.7%	1	`(/.f64 x y)`

Compiler

Compiled 16 to 29 computations (-81.3% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.00021156567025119839	0.001888106649545752
0.0ms	-1.848545823273702e+20	-4059465386208.974

Compiler

Compiled 12 to 15 computations (-25% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.2183435492772274e-16	0.00021156567025119839
0.0ms	-3.073708674534845e-21	-1.1986721547688868e-25

Compiler

Compiled 12 to 15 computations (-25% saved)

bsearch29.0ms (0.4%)

Memory

29.3MiB live, 29.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	5.932129694456517e-66	1.5730575445444965e-49
12.0ms	-7.080738914269803e+119	-4.512062453063941e+114

Samples

15.0ms

304×

valid

Compiler

Compiled 297 to 357 computations (-20.2% saved)

Precisions

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

ival-div: 2.0ms (27.3% of total)

ival-mult: 2.0ms (27.3% of total)

ival-sub: 1.0ms (13.6% of total)

ival-add: 1.0ms (13.6% of total)

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

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

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	6.359190338176791e+20	2.4283792140523017e+21
0.0ms	-6.824347613598951e+49	-4.7093027264415874e+47
0.0ms	-8.439044704450747e+77	-7.539733150032356e+76

Compiler

Compiled 12 to 15 computations (-25% saved)

bsearch5.0ms (0.1%)

Memory

-36.3MiB live, 1.4MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	6.359190338176791e+20	2.4283792140523017e+21
4.0ms	-6.824347613598951e+49	-4.7093027264415874e+47
0.0ms	-8.439044704450747e+77	-7.539733150032356e+76

Compiler

Compiled 12 to 15 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.220483076625439e-18	1.2183435492772274e-16

Compiler

Compiled 12 to 15 computations (-25% saved)

simplify34.0ms (0.5%)

Memory

12.3MiB live, 49.6MiB allocated

Algorithm

1×	egg-herbie

Rules

26×	`-commutative-binary64-.f64`
18×	`+-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	71	407
1	89	407
2	106	407
3	121	407
4	129	407
5	132	407

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(if (<=.f64 (/.f64 x y) #s(literal -100000000000000000000 binary64)) #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (.f64 (-.f64 z t) x) y)) (if (<=.f64 (/.f64 x y) #s(literal 7378697629483821/18446744073709551616 binary64)) (+.f64 #s(approx ( (/ x y) (- z t)) (/.f64 (.f64 z x) y)) t) #s(approx (+ ( (/ x y) (- z t)) t) (/.f64 (*.f64 (-.f64 z t) x) y))))
(if (<=.f64 (/.f64 x y) #s(literal -5316911983139663/2658455991569831745807614120560689152 binary64)) #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (.f64 (-.f64 z t) x) y)) (if (<=.f64 (/.f64 x y) #s(literal 2028240960365167/10141204801825835211973625643008 binary64)) (fma.f64 #s(approx (/ (- z t) y) (/.f64 z y)) x t) #s(approx (+ ( (/ x y) (- z t)) t) (/.f64 (*.f64 (-.f64 z t) x) y))))
(if (<=.f64 t #s(literal -4550000000000000070795343389074135760420316355990829521832456140960293704299638449855683524113465886926738577948672 binary64)) #s(approx (+ (* (/ x y) (- z t)) t) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) t)) (if (<=.f64 t #s(literal 1187100371647977/13803492693581127574869511724554050904902217944340773110325048447598592 binary64)) (fma.f64 #s(approx (/ (- z t) y) (/.f64 z y)) x t) #s(approx (+ ( (/ x y) (- z t)) t) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) t))))
(if (<=.f64 (/.f64 x y) #s(literal -500000000000000004246810716844851488074434962299380307947499551351398452953088 binary64)) #s(approx (+ (* (/ x y) (- z t)) t) (.f64 (/.f64 x y) z)) (if (<=.f64 (/.f64 x y) #s(literal -50000000000000003814884920545943501647482485473280 binary64)) #s(approx (+ ( (/ x y) (- z t)) t) (.f64 (/.f64 x y) #s(approx (- z t) (neg.f64 t)))) (if (<=.f64 (/.f64 x y) #s(literal 1000000000000000000000 binary64)) (fma.f64 #s(approx (/ (- z t) y) (/.f64 z y)) x t) #s(approx (+ ( (/ x y) (- z t)) t) (*.f64 (/.f64 x y) #s(approx (- z t) (neg.f64 t)))))))
(if (<=.f64 (/.f64 x y) #s(literal -500000000000000004246810716844851488074434962299380307947499551351398452953088 binary64)) #s(approx (+ (* (/ x y) (- z t)) t) (.f64 (/.f64 x y) z)) (if (<=.f64 (/.f64 x y) #s(literal -50000000000000003814884920545943501647482485473280 binary64)) #s(approx (+ ( (/ x y) (- z t)) t) #s(approx (/ (* (- z t) x) y) (.f64 (/.f64 (neg.f64 t) y) x))) (if (<=.f64 (/.f64 x y) #s(literal 1000000000000000000000 binary64)) (fma.f64 #s(approx (/ (- z t) y) (/.f64 z y)) x t) #s(approx (+ ( (/ x y) (- z t)) t) #s(approx (/ (* (- z t) x) y) (*.f64 (/.f64 (neg.f64 t) y) x))))))
(if (<=.f64 (/.f64 x y) #s(literal 6490371073168535/1298074214633706907132624082305024 binary64)) (fma.f64 #s(approx (/ (- z t) y) (/.f64 z y)) x t) #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 x y) z)))
#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 x y) z))

Outputs
(fma.f64 (/.f64 x y) (-.f64 z t) t)
(if (<=.f64 (/.f64 x y) #s(literal -100000000000000000000 binary64)) #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (.f64 (-.f64 z t) x) y)) (if (<=.f64 (/.f64 x y) #s(literal 7378697629483821/18446744073709551616 binary64)) (+.f64 #s(approx ( (/ x y) (- z t)) (/.f64 (.f64 z x) y)) t) #s(approx (+ ( (/ x y) (- z t)) t) (/.f64 (*.f64 (-.f64 z t) x) y))))
(if (<=.f64 (/.f64 x y) #s(literal -5316911983139663/2658455991569831745807614120560689152 binary64)) #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (.f64 (-.f64 z t) x) y)) (if (<=.f64 (/.f64 x y) #s(literal 2028240960365167/10141204801825835211973625643008 binary64)) (fma.f64 #s(approx (/ (- z t) y) (/.f64 z y)) x t) #s(approx (+ ( (/ x y) (- z t)) t) (/.f64 (*.f64 (-.f64 z t) x) y))))
(if (<=.f64 t #s(literal -4550000000000000070795343389074135760420316355990829521832456140960293704299638449855683524113465886926738577948672 binary64)) #s(approx (+ (* (/ x y) (- z t)) t) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) t)) (if (<=.f64 t #s(literal 1187100371647977/13803492693581127574869511724554050904902217944340773110325048447598592 binary64)) (fma.f64 #s(approx (/ (- z t) y) (/.f64 z y)) x t) #s(approx (+ ( (/ x y) (- z t)) t) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) t))))
(if (<=.f64 (/.f64 x y) #s(literal -500000000000000004246810716844851488074434962299380307947499551351398452953088 binary64)) #s(approx (+ (* (/ x y) (- z t)) t) (.f64 (/.f64 x y) z)) (if (<=.f64 (/.f64 x y) #s(literal -50000000000000003814884920545943501647482485473280 binary64)) #s(approx (+ ( (/ x y) (- z t)) t) (.f64 (/.f64 x y) #s(approx (- z t) (neg.f64 t)))) (if (<=.f64 (/.f64 x y) #s(literal 1000000000000000000000 binary64)) (fma.f64 #s(approx (/ (- z t) y) (/.f64 z y)) x t) #s(approx (+ ( (/ x y) (- z t)) t) (*.f64 (/.f64 x y) #s(approx (- z t) (neg.f64 t)))))))
(if (<=.f64 (/.f64 x y) #s(literal -500000000000000004246810716844851488074434962299380307947499551351398452953088 binary64)) #s(approx (+ (* (/ x y) (- z t)) t) (.f64 z (/.f64 x y))) (if (<=.f64 (/.f64 x y) #s(literal -50000000000000003814884920545943501647482485473280 binary64)) #s(approx (+ ( (/ x y) (- z t)) t) (.f64 #s(approx (- z t) (neg.f64 t)) (/.f64 x y))) (if (<=.f64 (/.f64 x y) #s(literal 1000000000000000000000 binary64)) (fma.f64 #s(approx (/ (- z t) y) (/.f64 z y)) x t) #s(approx (+ ( (/ x y) (- z t)) t) (*.f64 #s(approx (- z t) (neg.f64 t)) (/.f64 x y))))))
(if (<=.f64 (/.f64 x y) #s(literal -500000000000000004246810716844851488074434962299380307947499551351398452953088 binary64)) #s(approx (+ (* (/ x y) (- z t)) t) (.f64 (/.f64 x y) z)) (if (<=.f64 (/.f64 x y) #s(literal -50000000000000003814884920545943501647482485473280 binary64)) #s(approx (+ ( (/ x y) (- z t)) t) #s(approx (/ (* (- z t) x) y) (.f64 (/.f64 (neg.f64 t) y) x))) (if (<=.f64 (/.f64 x y) #s(literal 1000000000000000000000 binary64)) (fma.f64 #s(approx (/ (- z t) y) (/.f64 z y)) x t) #s(approx (+ ( (/ x y) (- z t)) t) #s(approx (/ (* (- z t) x) y) (*.f64 (/.f64 (neg.f64 t) y) x))))))
(if (<=.f64 (/.f64 x y) #s(literal -500000000000000004246810716844851488074434962299380307947499551351398452953088 binary64)) #s(approx (+ (* (/ x y) (- z t)) t) (.f64 z (/.f64 x y))) (if (<=.f64 (/.f64 x y) #s(literal -50000000000000003814884920545943501647482485473280 binary64)) #s(approx (+ ( (/ x y) (- z t)) t) #s(approx (/ (* (- z t) x) y) (.f64 (/.f64 (neg.f64 t) y) x))) (if (<=.f64 (/.f64 x y) #s(literal 1000000000000000000000 binary64)) (fma.f64 #s(approx (/ (- z t) y) (/.f64 z y)) x t) #s(approx (+ ( (/ x y) (- z t)) t) #s(approx (/ (* (- z t) x) y) (*.f64 (/.f64 (neg.f64 t) y) x))))))
(if (<=.f64 (/.f64 x y) #s(literal 6490371073168535/1298074214633706907132624082305024 binary64)) (fma.f64 #s(approx (/ (- z t) y) (/.f64 z y)) x t) #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 x y) z)))
(if (<=.f64 (/.f64 x y) #s(literal 6490371073168535/1298074214633706907132624082305024 binary64)) (fma.f64 #s(approx (/ (- z t) y) (/.f64 z y)) x t) #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 z (/.f64 x y))))
#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 x y) z))
#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 z (/.f64 x y)))

soundness1.3s (19.7%)

Memory

26.7MiB live, 817.5MiB allocated

Rules

11 334×	`lower-fma.f64`
11 334×	`lower-fma.f32`
10 314×	`lower-fma.f64`
10 314×	`lower-fma.f32`
9 056×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	100
0	38	97
1	137	96
2	953	95
0	8577	95
0	8	22
0	12	22
1	49	22
2	400	22
3	5236	22
0	8258	21
0	25	128
0	40	128
1	146	128
2	988	128
0	8741	125
0	88	1245
1	280	1164
2	931	852
3	2950	852
4	5601	852
0	8095	816
0	127	4542
1	413	4185
2	1350	3237
3	3977	3237
4	6162	3237
0	8284	3057

Stop Event

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

Compiler

Compiled 455 to 265 computations (41.8% saved)

preprocess62.0ms (1%)

Memory: -22.1MiB live, 141.2MiB allocated
Compiler: Compiled 546 to 178 computations (67.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze78.0ms (1.2%)

sample996.0ms (15.4%)

explain77.0ms (1.2%)

preprocess127.0ms (2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify78.0ms (1.2%)

localize20.0ms (0.3%)

series16.0ms (0.2%)

simplify133.0ms (2.1%)

rewrite172.0ms (2.7%)

eval59.0ms (0.9%)

prune17.0ms (0.3%)

simplify63.0ms (1%)

localize85.0ms (1.3%)

series36.0ms (0.6%)

simplify156.0ms (2.4%)

rewrite225.0ms (3.5%)

eval612.0ms (9.5%)

prune75.0ms (1.2%)

simplify86.0ms (1.3%)

localize59.0ms (0.9%)

series30.0ms (0.5%)

simplify156.0ms (2.4%)

rewrite177.0ms (2.7%)

eval151.0ms (2.3%)

prune56.0ms (0.9%)

simplify150.0ms (2.3%)

localize74.0ms (1.1%)

series60.0ms (0.9%)

simplify169.0ms (2.6%)

rewrite212.0ms (3.3%)

eval368.0ms (5.7%)

prune52.0ms (0.8%)

regimes96.0ms (1.5%)

regimes34.0ms (0.5%)

regimes4.0ms (0.1%)

regimes53.0ms (0.8%)

regimes18.0ms (0.3%)

regimes3.0ms (0%)

regimes7.0ms (0.1%)

regimes22.0ms (0.3%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch29.0ms (0.4%)

bsearch1.0ms (0%)

bsearch5.0ms (0.1%)

bsearch0.0ms (0%)

simplify34.0ms (0.5%)

soundness1.3s (19.7%)

preprocess62.0ms (1%)

end0.0ms (0%)

Profiling