Metrics for Optimisation.CirclePacking:place from circle-packing-0.1.0.4, E

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze161.0ms (1.9%)

Memory

9.9MiB live, 251.8MiB 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
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
0%	0%	99.8%	0.2%	0%	0%	0%	5
50%	49.9%	49.9%	0.2%	0%	0%	0%	6
50%	49.9%	49.9%	0.2%	0%	0%	0%	7
50%	49.9%	49.9%	0.2%	0%	0%	0%	8
50%	49.9%	49.9%	0.2%	0%	0%	0%	9
50%	49.9%	49.9%	0.2%	0%	0%	0%	10
75%	74.8%	24.9%	0.2%	0%	0%	0%	11
75%	74.8%	24.9%	0.2%	0%	0%	0%	12

Compiler

Compiled 11 to 11 computations (0% saved)

sample1.4s (16.3%)

Memory

18.3MiB live, 1 320.1MiB allocated

Samples

773.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 352.0ms

ival-div: 166.0ms (47.2% of total)

ival-sub: 78.0ms (22.2% of total)

ival-mult: 55.0ms (15.6% of total)

ival-add: 42.0ms (11.9% of total)

ival-true: 7.0ms (2% of total)

ival-assert: 4.0ms (1.1% of total)

Bogosity

explain94.0ms (1.1%)

Memory

-19.9MiB live, 99.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
21	-	-	`(/.f64 (*.f64 y (-.f64 z t)) a)`
0	-	-	`a`
0	-	-	`t`
0	-	-	`z`
0	-	-	`(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))`
0	-	-	`(-.f64 z t)`
0	-	-	`y`
0	-	-	`(*.f64 y (-.f64 z t))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (*.f64 y (-.f64 z t)) a)`	o/n	17	0
↳	`(*.f64 y (-.f64 z t))`	overflow	53
`/.f64`	`(/.f64 (*.f64 y (-.f64 z t)) a)`	u/n	1	0
↳	`(*.f64 y (-.f64 z t))`	underflow	9

Confusion

	Predicted +	Predicted -
+	18	0
-	0	238

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	18	0	0
-	0	0	238

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	238
1	18

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

31.0ms

512×

valid

Compiler

Compiled 71 to 31 computations (56.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-div: 4.0ms (30.1% of total)

ival-mult: 4.0ms (30.1% of total)

ival-sub: 3.0ms (22.6% of total)

ival-add: 2.0ms (15% of total)

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

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

preprocess116.0ms (1.4%)

Memory

13.2MiB live, 92.8MiB allocated

Algorithm

1×	egg-herbie

Rules

1 264×	`lower-fma.f64`
1 264×	`lower-fma.f32`
1 188×	`times-frac`
1 118×	`div-sub`
726×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	193
1	170	184
2	447	183
3	1331	181
4	4630	181
0	9	9
0	13	9
1	19	9
2	36	9
3	54	9
4	104	9
5	219	9
6	402	9
7	647	9
8	1092	9
9	1953	9
10	2238	9
11	2293	9
12	2308	9
13	2309	9
14	2309	9
0	2309	8

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 9 to 9 computations (0% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 5 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.3%	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))

Compiler

Compiled 9 to 9 computations (0% saved)

simplify65.0ms (0.7%)

Memory

6.3MiB live, 43.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

1 264×	`lower-fma.f64`
1 264×	`lower-fma.f32`
576×	`lower-*.f32`
574×	`lower-*.f64`
372×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
0	13	29
1	19	29
2	36	29
3	54	29
4	104	29
5	219	29
6	402	29
7	647	29
8	1092	29
9	1953	29
10	2238	29
11	2293	29
12	2308	29
13	2309	29
14	2309	29
0	2309	28

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize25.0ms (0.3%)

Memory

2.6MiB live, 39.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 z t)
accuracy	0.0078125	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
accuracy	0.0078125	(*.f64 y (-.f64 z t))
accuracy	5.116191112904513	(/.f64 (*.f64 y (-.f64 z t)) a)

Samples

20.0ms

256×

valid

Compiler

Compiled 31 to 11 computations (64.5% saved)

Precisions

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

ival-sub: 2.0ms (30.8% of total)

ival-div: 2.0ms (30.8% of total)

ival-mult: 2.0ms (30.8% of total)

ival-add: 1.0ms (15.4% of total)

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

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

series19.0ms (0.2%)

Memory

-3.6MiB live, 33.1MiB allocated

Counts

4 → 168

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
4.0ms	y	@	inf	((+ x (/ (* y (- z t)) a)) (/ (* y (- z t)) a) (* y (- z t)) (- z t))
2.0ms	y	@	-inf	((+ x (/ (* y (- z t)) a)) (/ (* y (- z t)) a) (* y (- z t)) (- z t))
1.0ms	z	@	0	((+ x (/ (* y (- z t)) a)) (/ (* y (- z t)) a) (* y (- z t)) (- z t))
1.0ms	z	@	-inf	((+ x (/ (* y (- z t)) a)) (/ (* y (- z t)) a) (* y (- z t)) (- z t))
1.0ms	t	@	0	((+ x (/ (* y (- z t)) a)) (/ (* y (- z t)) a) (* y (- z t)) (- z t))

simplify164.0ms (1.9%)

Memory

0.8MiB live, 219.3MiB allocated

Algorithm

1×	egg-herbie

Rules

10 322×	`lower-fma.f64`
10 322×	`lower-fma.f32`
3 940×	`lower-*.f64`
3 940×	`lower-*.f32`
2 188×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	114	1159
1	378	1059
2	1253	1059
3	4073	1053
4	7809	1053
0	8822	1007

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 160

Calls

Call 1

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

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

rewrite178.0ms (2.1%)

Memory

-30.7MiB live, 168.1MiB allocated

Rules

4 080×	`lower-*.f32`
4 078×	`lower-*.f64`
3 654×	`lower-fma.f64`
3 654×	`lower-fma.f32`
2 990×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
0	13	24
1	52	24
2	423	24
3	7091	24
0	8260	23

Stop Event

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

Counts

4 → 292

Calls

Call 1

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

Outputs
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eval49.0ms (0.6%)

Memory: 20.8MiB live, 95.4MiB allocated
Compiler: Compiled 8 293 to 1 088 computations (86.9% saved)

prune16.0ms (0.2%)

Memory

-1.5MiB live, 43.0MiB allocated

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	439	13	452
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	440	13	453

Accuracy

100.0%

Counts

453 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.8%	(fma.f64 (/.f64 (-.f64 z t) a) y x)
▶	96.9%	(fma.f64 (/.f64 y a) (-.f64 z t) x)
	93.2%	(fma.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (neg.f64 y) (-.f64 z t)) x)
	72.3%	(+.f64 x (/.f64 (*.f64 y #s(approx (- z t) (neg.f64 t))) a))
	96.8%	(+.f64 x (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 y a)) (/.f64 #s(literal 1 binary64) (-.f64 z t))))
	92.2%	(+.f64 x (/.f64 (.f64 #s(literal 1 binary64) y) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 z t)) a)))
	65.7%	(+.f64 x (/.f64 #s(approx (* y (- z t)) (*.f64 z y)) a))
▶	92.2%	(+.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
	65.7%	#s(approx (+ x (/ (* y (- z t)) a)) (fma.f64 (/.f64 z a) y x))
	76.3%	#s(approx (+ x (/ (* y (- z t)) a)) (fma.f64 (/.f64 y a) (neg.f64 t) x))
▶	56.0%	#s(approx (+ x (/ (* y (- z t)) a)) (/.f64 (*.f64 (-.f64 z t) y) a))
▶	27.6%	#s(approx (+ x (/ (* y (- z t)) a)) (/.f64 (*.f64 z y) a))
	32.9%	#s(approx (+ x (/ (* y (- z t)) a)) (*.f64 (/.f64 (neg.f64 t) a) y))

Compiler

Compiled 230 to 244 computations (-6.1% saved)

simplify76.0ms (0.9%)

Memory

-6.9MiB live, 31.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 z t)
cost-diff	0	(/.f64 a (-.f64 z t))
cost-diff	128	(+.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
cost-diff	384	(/.f64 y (/.f64 a (-.f64 z t)))
cost-diff	0	(-.f64 z t)
cost-diff	0	(/.f64 (-.f64 z t) a)
cost-diff	0	(fma.f64 (/.f64 (-.f64 z t) a) y x)
cost-diff	0	(-.f64 z t)
cost-diff	0	(*.f64 (-.f64 z t) y)
cost-diff	0	(/.f64 (*.f64 (-.f64 z t) y) a)
cost-diff	0	#s(approx (+ x (/ (* y (- z t)) a)) (/.f64 (*.f64 (-.f64 z t) y) a))
cost-diff	0	(*.f64 z y)
cost-diff	0	(/.f64 (*.f64 z y) a)
cost-diff	0	#s(approx (+ x (/ (* y (- z t)) a)) (/.f64 (*.f64 z y) a))
cost-diff	0	(-.f64 z t)
cost-diff	0	(/.f64 y a)
cost-diff	0	(fma.f64 (/.f64 y a) (-.f64 z t) x)

Rules

1 312×	`lower-fma.f32`
1 308×	`lower-fma.f64`
624×	`lower-*.f32`
620×	`lower-*.f64`
584×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	131
0	37	128
1	49	128
2	67	128
3	112	128
4	198	128
5	299	128
6	468	128
7	795	128
8	1486	128
9	2806	128
10	3056	128
11	3117	128
12	3152	128
13	3153	128
14	3153	128
0	3153	128

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize63.0ms (0.7%)

Memory

18.8MiB live, 92.2MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 z t)
accuracy	0.0078125	(/.f64 a (-.f64 z t))
accuracy	0.0078125	(+.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
accuracy	5.930305579509458	(/.f64 y (/.f64 a (-.f64 z t)))
accuracy	0	(-.f64 z t)
accuracy	0.00390625	(/.f64 (-.f64 z t) a)
accuracy	5.239560368051886	(fma.f64 (/.f64 (-.f64 z t) a) y x)
accuracy	0	(-.f64 z t)
accuracy	0.0078125	(*.f64 (-.f64 z t) y)
accuracy	5.116191112904513	(/.f64 (*.f64 (-.f64 z t) y) a)
accuracy	24.95333603762457	#s(approx (+ x (/ (* y (- z t)) a)) (/.f64 (*.f64 (-.f64 z t) y) a))
accuracy	0	(*.f64 z y)
accuracy	4.711106904328771	(/.f64 (*.f64 z y) a)
accuracy	44.595723214364675	#s(approx (+ x (/ (* y (- z t)) a)) (/.f64 (*.f64 z y) a))
accuracy	0	(/.f64 y a)
accuracy	0	(-.f64 z t)
accuracy	1.9753844340330124	(fma.f64 (/.f64 y a) (-.f64 z t) x)

Samples

49.0ms

256×

valid

Compiler

Compiled 121 to 24 computations (80.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 14.0ms (45.1% of total)

ival-div: 11.0ms (35.4% of total)

ival-add: 4.0ms (12.9% of total)

ival-sub: 1.0ms (3.2% of total)

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

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

series50.0ms (0.6%)

Memory

-10.0MiB live, 68.5MiB allocated

Counts

14 → 612

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
11.0ms	a	@	-inf	((+ (* (/ y a) (- z t)) x) (/ y a) (- z t) (+ x (/ (* y (- z t)) a)) (/ (* z y) a) (* z y) (+ x (/ (* y (- z t)) a)) (/ (* (- z t) y) a) (* (- z t) y) (+ (* (/ (- z t) a) y) x) (/ (- z t) a) (/ y (/ a (- z t))) (+ x (/ y (/ a (- z t)))) (/ a (- z t)))
5.0ms	z	@	-inf	((+ (* (/ y a) (- z t)) x) (/ y a) (- z t) (+ x (/ (* y (- z t)) a)) (/ (* z y) a) (* z y) (+ x (/ (* y (- z t)) a)) (/ (* (- z t) y) a) (* (- z t) y) (+ (* (/ (- z t) a) y) x) (/ (- z t) a) (/ y (/ a (- z t))) (+ x (/ y (/ a (- z t)))) (/ a (- z t)))
2.0ms	y	@	-inf	((+ (* (/ y a) (- z t)) x) (/ y a) (- z t) (+ x (/ (* y (- z t)) a)) (/ (* z y) a) (* z y) (+ x (/ (* y (- z t)) a)) (/ (* (- z t) y) a) (* (- z t) y) (+ (* (/ (- z t) a) y) x) (/ (- z t) a) (/ y (/ a (- z t))) (+ x (/ y (/ a (- z t)))) (/ a (- z t)))
2.0ms	a	@	0	((+ (* (/ y a) (- z t)) x) (/ y a) (- z t) (+ x (/ (* y (- z t)) a)) (/ (* z y) a) (* z y) (+ x (/ (* y (- z t)) a)) (/ (* (- z t) y) a) (* (- z t) y) (+ (* (/ (- z t) a) y) x) (/ (- z t) a) (/ y (/ a (- z t))) (+ x (/ y (/ a (- z t)))) (/ a (- z t)))
2.0ms	z	@	inf	((+ (* (/ y a) (- z t)) x) (/ y a) (- z t) (+ x (/ (* y (- z t)) a)) (/ (* z y) a) (* z y) (+ x (/ (* y (- z t)) a)) (/ (* (- z t) y) a) (* (- z t) y) (+ (* (/ (- z t) a) y) x) (/ (- z t) a) (/ y (/ a (- z t))) (+ x (/ y (/ a (- z t)))) (/ a (- z t)))

simplify254.0ms (3%)

Memory

1.3MiB live, 238.6MiB allocated

Algorithm

1×	egg-herbie

Rules

9 032×	`lower-fma.f64`
9 032×	`lower-fma.f32`
4 344×	`lower-*.f64`
4 344×	`lower-*.f32`
2 858×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	255	5382
1	805	5132
2	2539	4992
3	6930	4992
0	8032	4786

Stop Event

1×	iter limit
1×	node limit

Counts

612 → 584

Calls

Call 1

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

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

rewrite249.0ms (2.9%)

Memory

12.4MiB live, 284.2MiB allocated

Rules

8 084×	`lower-fma.f32`
8 080×	`lower-fma.f64`
4 418×	`lower-/.f32`
4 406×	`lower-/.f64`
4 324×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	100
0	37	97
1	151	97
2	941	97
0	8376	97

Stop Event

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

Counts

14 → 880

Calls

Call 1

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

Outputs
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eval548.0ms (6.4%)

Memory: -8.1MiB live, 467.6MiB allocated
Compiler: Compiled 28 070 to 2 308 computations (91.8% saved)

prune313.0ms (3.6%)

Memory

6.8MiB live, 166.4MiB allocated

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	1 656	12	1 668
Fresh	7	1	8
Picked	3	2	5
Done	0	0	0
Total	1 666	15	1 681

Accuracy

100.0%

Counts

1 681 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.8%	(fma.f64 (/.f64 #s(approx (- z t) (neg.f64 t)) a) y x)
▶	65.7%	(fma.f64 #s(approx (/ (- z t) a) (/.f64 z a)) y x)
	72.3%	(+.f64 x (/.f64 (*.f64 y #s(approx (- z t) (neg.f64 t))) a))
▶	92.2%	(+.f64 x (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 z t)) (neg.f64 a))))
	70.0%	#s(approx (+ (* (/ (- z t) a) y) x) (fma.f64 (/.f64 y a) z x))
	32.9%	#s(approx (+ (* (/ (- z t) a) y) x) (*.f64 (/.f64 (neg.f64 t) a) y))
	31.7%	#s(approx (+ (* (/ (- z t) a) y) x) (*.f64 (/.f64 y a) z))
	58.9%	#s(approx (+ x (/ (* y (- z t)) a)) (/.f64 (-.f64 z t) (/.f64 a y)))
✓	56.0%	#s(approx (+ x (/ (* y (- z t)) a)) (/.f64 (*.f64 (-.f64 z t) y) a))
	34.7%	#s(approx (+ x (/ (* y (- z t)) a)) (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) y) a))
✓	27.6%	#s(approx (+ x (/ (* y (- z t)) a)) (/.f64 (*.f64 z y) a))
▶	31.9%	#s(approx (+ x (/ (* y (- z t)) a)) (/.f64 z (/.f64 a y)))
▶	27.4%	#s(approx (+ x (/ (* y (- z t)) a)) (*.f64 (/.f64 z a) y))
▶	58.4%	#s(approx (+ x (/ (* y (- z t)) a)) (*.f64 (/.f64 y a) (-.f64 z t)))
	27.6%	#s(approx (+ x (/ (* y (- z t)) a)) (.f64 (.f64 (neg.f64 z) y) (/.f64 #s(literal -1 binary64) a)))

Compiler

Compiled 216 to 255 computations (-18.1% saved)

simplify156.0ms (1.8%)

Memory

16.2MiB live, 51.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 a y)
cost-diff	0	#s(approx (+ x (/ (* y (- z t)) a)) (/.f64 z (/.f64 a y)))
cost-diff	384	(/.f64 z (/.f64 a y))
cost-diff	0	(-.f64 z t)
cost-diff	0	(/.f64 y a)
cost-diff	0	(*.f64 (/.f64 y a) (-.f64 z t))
cost-diff	0	#s(approx (+ x (/ (* y (- z t)) a)) (*.f64 (/.f64 y a) (-.f64 z t)))
cost-diff	0	(/.f64 z a)
cost-diff	0	#s(approx (/ (- z t) a) (/.f64 z a))
cost-diff	0	(fma.f64 #s(approx (/ (- z t) a) (/.f64 z a)) y x)
cost-diff	0	(/.f64 z a)
cost-diff	0	(*.f64 (/.f64 z a) y)
cost-diff	0	#s(approx (+ x (/ (* y (- z t)) a)) (*.f64 (/.f64 z a) y))
cost-diff	0	(/.f64 #s(literal -1 binary64) (-.f64 z t))
cost-diff	128	(+.f64 x (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 z t)) (neg.f64 a))))
cost-diff	384	(/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 z t)) (neg.f64 a)))
cost-diff	448	(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 z t)) (neg.f64 a))

Rules

1 568×	`lower-fma.f32`
1 566×	`lower-fma.f64`
832×	`lower-*.f32`
826×	`lower-*.f64`
776×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	160
0	43	163
1	68	159
2	118	151
3	253	151
4	687	151
5	1663	151
6	3027	151
7	3455	151
8	3754	151
9	3954	151
10	4098	151
11	4238	151
12	4254	151
13	4254	151
14	4278	151
15	4286	151
16	4296	151
17	4326	151
18	4326	151
0	4326	147

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize97.0ms (1.1%)

Memory

19.1MiB live, 94.2MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 a y)
accuracy	6.162687554191004	(/.f64 z (/.f64 a y))
accuracy	44.595723214364675	#s(approx (+ x (/ (* y (- z t)) a)) (/.f64 z (/.f64 a y)))
accuracy	0	(/.f64 y a)
accuracy	0	(-.f64 z t)
accuracy	6.1779911783671055	(*.f64 (/.f64 y a) (-.f64 z t))
accuracy	24.95333603762457	#s(approx (+ x (/ (* y (- z t)) a)) (*.f64 (/.f64 y a) (-.f64 z t)))
accuracy	0	(/.f64 z a)
accuracy	5.239560368051886	(fma.f64 #s(approx (/ (- z t) a) (/.f64 z a)) y x)
accuracy	30.24408446238087	#s(approx (/ (- z t) a) (/.f64 z a))
accuracy	0	(/.f64 z a)
accuracy	4.336553652615262	(*.f64 (/.f64 z a) y)
accuracy	44.595723214364675	#s(approx (+ x (/ (* y (- z t)) a)) (*.f64 (/.f64 z a) y))
accuracy	0.0078125	(/.f64 #s(literal -1 binary64) (-.f64 z t))
accuracy	0.0078125	(+.f64 x (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 z t)) (neg.f64 a))))
accuracy	0.2109375	(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 z t)) (neg.f64 a))
accuracy	5.930305579509458	(/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 z t)) (neg.f64 a)))

Samples

82.0ms

256×

valid

Compiler

Compiled 135 to 26 computations (80.7% saved)

Precisions

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

ival-div: 23.0ms (62.4% of total)

ival-mult: 8.0ms (21.7% of total)

ival-add: 3.0ms (8.1% of total)

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

ival-neg: 1.0ms (2.7% of total)

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

exact: 0.0ms (0% of total)

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

series47.0ms (0.5%)

Memory

-48.5MiB live, 93.6MiB allocated

Counts

16 → 660

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
5.0ms	a	@	0	((* (/ -1 (- z t)) (neg a)) (/ y (* (/ -1 (- z t)) (neg a))) (+ x (/ y (* (/ -1 (- z t)) (neg a)))) (/ -1 (- z t)) (+ x (/ (* y (- z t)) a)) (* (/ z a) y) (/ z a) (+ (* (/ (- z t) a) y) x) (/ (- z t) a) (+ x (/ (* y (- z t)) a)) (* (/ y a) (- z t)) (/ y a) (- z t) (/ z (/ a y)) (+ x (/ (* y (- z t)) a)) (/ a y))
3.0ms	y	@	0	((* (/ -1 (- z t)) (neg a)) (/ y (* (/ -1 (- z t)) (neg a))) (+ x (/ y (* (/ -1 (- z t)) (neg a)))) (/ -1 (- z t)) (+ x (/ (* y (- z t)) a)) (* (/ z a) y) (/ z a) (+ (* (/ (- z t) a) y) x) (/ (- z t) a) (+ x (/ (* y (- z t)) a)) (* (/ y a) (- z t)) (/ y a) (- z t) (/ z (/ a y)) (+ x (/ (* y (- z t)) a)) (/ a y))
2.0ms	a	@	-inf	((* (/ -1 (- z t)) (neg a)) (/ y (* (/ -1 (- z t)) (neg a))) (+ x (/ y (* (/ -1 (- z t)) (neg a)))) (/ -1 (- z t)) (+ x (/ (* y (- z t)) a)) (* (/ z a) y) (/ z a) (+ (* (/ (- z t) a) y) x) (/ (- z t) a) (+ x (/ (* y (- z t)) a)) (* (/ y a) (- z t)) (/ y a) (- z t) (/ z (/ a y)) (+ x (/ (* y (- z t)) a)) (/ a y))
2.0ms	a	@	inf	((* (/ -1 (- z t)) (neg a)) (/ y (* (/ -1 (- z t)) (neg a))) (+ x (/ y (* (/ -1 (- z t)) (neg a)))) (/ -1 (- z t)) (+ x (/ (* y (- z t)) a)) (* (/ z a) y) (/ z a) (+ (* (/ (- z t) a) y) x) (/ (- z t) a) (+ x (/ (* y (- z t)) a)) (* (/ y a) (- z t)) (/ y a) (- z t) (/ z (/ a y)) (+ x (/ (* y (- z t)) a)) (/ a y))
1.0ms	z	@	-inf	((* (/ -1 (- z t)) (neg a)) (/ y (* (/ -1 (- z t)) (neg a))) (+ x (/ y (* (/ -1 (- z t)) (neg a)))) (/ -1 (- z t)) (+ x (/ (* y (- z t)) a)) (* (/ z a) y) (/ z a) (+ (* (/ (- z t) a) y) x) (/ (- z t) a) (+ x (/ (* y (- z t)) a)) (* (/ y a) (- z t)) (/ y a) (- z t) (/ z (/ a y)) (+ x (/ (* y (- z t)) a)) (/ a y))

simplify250.0ms (2.9%)

Memory

44.4MiB live, 258.8MiB allocated

Algorithm

1×	egg-herbie

Rules

9 198×	`lower-fma.f64`
9 198×	`lower-fma.f32`
4 886×	`lower-*.f64`
4 886×	`lower-*.f32`
2 382×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	341	5666
1	1028	5458
2	3128	5302
0	8401	5112

Stop Event

1×	iter limit
1×	node limit

Counts

660 → 632

Calls

Call 1

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

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

rewrite180.0ms (2.1%)

Memory

1.2MiB live, 243.0MiB allocated

Rules

4 414×	`lower-fma.f32`
4 412×	`lower-fma.f64`
3 764×	`lower-*.f32`
3 758×	`lower-*.f64`
3 748×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	132
0	43	135
1	155	123
2	1282	123
0	8456	119

Stop Event

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

Counts

16 → 783

Calls

Call 1

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

Outputs
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#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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#<batchref>
#<batchref>

eval327.0ms (3.8%)

Memory: -11.1MiB live, 509.9MiB allocated
Compiler: Compiled 22 220 to 2 365 computations (89.4% saved)

prune100.0ms (1.2%)

Memory

2.1MiB live, 126.5MiB allocated

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	1 528	2	1 530
Fresh	0	8	8
Picked	1	4	5
Done	0	2	2
Total	1 529	16	1 545

Accuracy

100.0%

Counts

1 545 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.8%	(fma.f64 (/.f64 #s(approx (- z t) (neg.f64 t)) a) y x)
✓	65.7%	(fma.f64 #s(approx (/ (- z t) a) (/.f64 z a)) y x)
▶	72.3%	(+.f64 x (/.f64 (*.f64 y #s(approx (- z t) (neg.f64 t))) a))
	66.1%	(+.f64 x (/.f64 y (*.f64 #s(approx (/ -1 (- z t)) (/.f64 #s(literal -1 binary64) z)) (neg.f64 a))))
	70.0%	#s(approx (+ (* (/ (- z t) a) y) x) (fma.f64 (/.f64 y a) z x))
▶	32.9%	#s(approx (+ (* (/ (- z t) a) y) x) (*.f64 (/.f64 (neg.f64 t) a) y))
▶	31.7%	#s(approx (+ (* (/ (- z t) a) y) x) (*.f64 (/.f64 y a) z))
	58.9%	#s(approx (+ x (/ (* y (- z t)) a)) (/.f64 (-.f64 z t) (/.f64 a y)))
✓	56.0%	#s(approx (+ x (/ (* y (- z t)) a)) (/.f64 (*.f64 (-.f64 z t) y) a))
	34.7%	#s(approx (+ x (/ (* y (- z t)) a)) (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) y) a))
✓	27.6%	#s(approx (+ x (/ (* y (- z t)) a)) (/.f64 (*.f64 z y) a))
✓	31.9%	#s(approx (+ x (/ (* y (- z t)) a)) (/.f64 z (/.f64 a y)))
✓	27.4%	#s(approx (+ x (/ (* y (- z t)) a)) (*.f64 (/.f64 z a) y))
✓	58.4%	#s(approx (+ x (/ (* y (- z t)) a)) (*.f64 (/.f64 y a) (-.f64 z t)))
▶	38.1%	#s(approx (+ x (/ (* y (- z t)) a)) (*.f64 (/.f64 y a) #s(approx (- z t) (neg.f64 t))))
▶	27.6%	#s(approx (+ x (/ (* y (- z t)) a)) (.f64 (.f64 (neg.f64 z) y) (/.f64 #s(literal -1 binary64) a)))

Compiler

Compiled 203 to 242 computations (-19.2% saved)

simplify89.0ms (1%)

Memory

-0.9MiB live, 38.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 z)
cost-diff	0	(*.f64 (neg.f64 z) y)
cost-diff	0	#s(approx (+ x (/ (* y (- z t)) a)) (.f64 (.f64 (neg.f64 z) y) (/.f64 #s(literal -1 binary64) a)))
cost-diff	448	(.f64 (.f64 (neg.f64 z) y) (/.f64 #s(literal -1 binary64) a))
cost-diff	0	(neg.f64 t)
cost-diff	0	(/.f64 (neg.f64 t) a)
cost-diff	0	(*.f64 (/.f64 (neg.f64 t) a) y)
cost-diff	0	#s(approx (+ (* (/ (- z t) a) y) x) (*.f64 (/.f64 (neg.f64 t) a) y))
cost-diff	0	#s(approx (- z t) (neg.f64 t))
cost-diff	0	(/.f64 y a)
cost-diff	0	(*.f64 (/.f64 y a) #s(approx (- z t) (neg.f64 t)))
cost-diff	0	#s(approx (+ x (/ (* y (- z t)) a)) (*.f64 (/.f64 y a) #s(approx (- z t) (neg.f64 t))))
cost-diff	0	(/.f64 y a)
cost-diff	0	(*.f64 (/.f64 y a) z)
cost-diff	0	#s(approx (+ (* (/ (- z t) a) y) x) (*.f64 (/.f64 y a) z))
cost-diff	0	#s(approx (- z t) (neg.f64 t))
cost-diff	0	(*.f64 y #s(approx (- z t) (neg.f64 t)))
cost-diff	0	(/.f64 (*.f64 y #s(approx (- z t) (neg.f64 t))) a)
cost-diff	128	(+.f64 x (/.f64 (*.f64 y #s(approx (- z t) (neg.f64 t))) a))

Rules

1 504×	`lower-fma.f64`
1 504×	`lower-fma.f32`
918×	`times-frac`
736×	`lower-*.f32`
724×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	182
0	44	176
1	80	176
2	139	176
3	283	176
4	468	176
5	908	176
6	1892	176
7	3054	176
8	3875	176
9	4059	176
10	4086	176
11	4089	176
12	4090	176
0	4090	171

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize114.0ms (1.3%)

Memory

7.1MiB live, 82.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 (neg.f64 z) y)
accuracy	0	(neg.f64 z)
accuracy	4.768079211784294	(.f64 (.f64 (neg.f64 z) y) (/.f64 #s(literal -1 binary64) a))
accuracy	44.595723214364675	#s(approx (+ x (/ (* y (- z t)) a)) (.f64 (.f64 (neg.f64 z) y) (/.f64 #s(literal -1 binary64) a)))
accuracy	0	(/.f64 (neg.f64 t) a)
accuracy	0	(neg.f64 t)
accuracy	5.667054953828196	(*.f64 (/.f64 (neg.f64 t) a) y)
accuracy	40.35344425248952	#s(approx (+ (* (/ (- z t) a) y) x) (*.f64 (/.f64 (neg.f64 t) a) y))
accuracy	0	(neg.f64 t)
accuracy	6.1779911783671055	(*.f64 (/.f64 y a) #s(approx (- z t) (neg.f64 t)))
accuracy	24.95333603762457	#s(approx (+ x (/ (* y (- z t)) a)) (*.f64 (/.f64 y a) #s(approx (- z t) (neg.f64 t))))
accuracy	31.257832677370118	#s(approx (- z t) (neg.f64 t))
accuracy	0	(/.f64 y a)
accuracy	6.580441559588593	(*.f64 (/.f64 y a) z)
accuracy	44.595723214364675	#s(approx (+ (* (/ (- z t) a) y) x) (*.f64 (/.f64 y a) z))
accuracy	0.0078125	(+.f64 x (/.f64 (*.f64 y #s(approx (- z t) (neg.f64 t))) a))
accuracy	0.0078125	(*.f64 y #s(approx (- z t) (neg.f64 t)))
accuracy	5.116191112904513	(/.f64 (*.f64 y #s(approx (- z t) (neg.f64 t))) a)
accuracy	31.257832677370118	#s(approx (- z t) (neg.f64 t))

Samples

95.0ms

256×

valid

Compiler

Compiled 133 to 25 computations (81.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-div: 59.0ms (75.7% of total)

ival-mult: 13.0ms (16.7% of total)

ival-sub: 2.0ms (2.6% of total)

ival-add: 2.0ms (2.6% of total)

ival-neg: 2.0ms (2.6% of total)

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

exact: 0.0ms (0% of total)

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

series71.0ms (0.8%)

Memory

-40.1MiB live, 62.4MiB allocated

Counts

17 → 660

Calls

Call 1

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

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

Calls

15 calls:

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

simplify342.0ms (4%)

Memory

29.7MiB live, 186.1MiB allocated

Algorithm

1×	egg-herbie

Rules

11 306×	`lower-fma.f64`
11 306×	`lower-fma.f32`
4 094×	`lower-*.f64`
4 094×	`lower-*.f32`
2 310×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	117	4406
1	385	4266
2	1247	4266
3	4135	4236
0	8082	4006

Stop Event

1×	iter limit
1×	node limit

Counts

660 → 632

Calls

Call 1

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

rewrite310.0ms (3.6%)

Memory

5.0MiB live, 235.4MiB allocated

Rules

5 306×	`lower-fma.f64`
5 306×	`lower-fma.f32`
4 156×	`lower-*.f32`
4 144×	`lower-*.f64`
3 812×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	149
0	44	143
1	163	143
2	1076	143
0	8496	138

Stop Event

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

Counts

17 → 385

Calls

Call 1

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

Outputs
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eval257.0ms (3%)

Memory: -14.2MiB live, 381.4MiB allocated
Compiler: Compiled 11 633 to 1 219 computations (89.5% saved)

prune100.0ms (1.2%)

Memory

-11.4MiB live, 228.5MiB allocated

Pruning

16 alts after pruning (5 fresh and 11 done)

	Pruned	Kept	Total
New	1 143	2	1 145
Fresh	2	3	5
Picked	0	5	5
Done	0	6	6
Total	1 145	16	1 161

Accuracy

100.0%

Counts

1 161 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.8%	(fma.f64 (/.f64 #s(approx (- z t) (neg.f64 t)) a) y x)
✓	65.7%	(fma.f64 #s(approx (/ (- z t) a) (/.f64 z a)) y x)
✓	72.3%	(+.f64 x (/.f64 (*.f64 y #s(approx (- z t) (neg.f64 t))) a))
	66.1%	(+.f64 x (/.f64 y (*.f64 #s(approx (/ -1 (- z t)) (/.f64 #s(literal -1 binary64) z)) (neg.f64 a))))
	70.0%	#s(approx (+ (* (/ (- z t) a) y) x) (fma.f64 (/.f64 y a) z x))
	34.7%	#s(approx (+ (* (/ (- z t) a) y) x) (/.f64 (*.f64 (neg.f64 t) y) a))
✓	32.9%	#s(approx (+ (* (/ (- z t) a) y) x) (*.f64 (/.f64 (neg.f64 t) a) y))
✓	31.7%	#s(approx (+ (* (/ (- z t) a) y) x) (*.f64 (/.f64 y a) z))
	32.9%	#s(approx (+ (* (/ (- z t) a) y) x) (.f64 (.f64 t (/.f64 #s(literal -1 binary64) a)) y))
✓	56.0%	#s(approx (+ x (/ (* y (- z t)) a)) (/.f64 (*.f64 (-.f64 z t) y) a))
✓	27.6%	#s(approx (+ x (/ (* y (- z t)) a)) (/.f64 (*.f64 z y) a))
✓	31.9%	#s(approx (+ x (/ (* y (- z t)) a)) (/.f64 z (/.f64 a y)))
✓	27.4%	#s(approx (+ x (/ (* y (- z t)) a)) (*.f64 (/.f64 z a) y))
✓	58.4%	#s(approx (+ x (/ (* y (- z t)) a)) (*.f64 (/.f64 y a) (-.f64 z t)))
✓	38.1%	#s(approx (+ x (/ (* y (- z t)) a)) (*.f64 (/.f64 y a) #s(approx (- z t) (neg.f64 t))))
✓	27.6%	#s(approx (+ x (/ (* y (- z t)) a)) (.f64 (.f64 (neg.f64 z) y) (/.f64 #s(literal -1 binary64) a)))

Compiler

Compiled 371 to 241 computations (35% saved)

regimes233.0ms (2.7%)

Memory

-15.7MiB live, 200.1MiB allocated

Counts

30 → 1

Calls

Call 1

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

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

Calls

9 calls:

41.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
31.0ms	y
29.0ms	(*.f64 y (-.f64 z t))
21.0ms	t
9.0ms	(-.f64 z t)

Results

Accuracy	Segments	Branch
96.9%	1	`x`
96.9%	1	`y`
96.9%	1	`z`
96.9%	1	`t`
96.9%	1	`a`
96.9%	1	`(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))`
96.9%	1	`(/.f64 (*.f64 y (-.f64 z t)) a)`
96.9%	1	`(*.f64 y (-.f64 z t))`
96.9%	1	`(-.f64 z t)`

Compiler

Compiled 29 to 55 computations (-89.7% saved)

regimes73.0ms (0.9%)

Memory

34.4MiB live, 74.0MiB allocated

Counts

16 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

9 calls:

30.0ms	t
5.0ms	(-.f64 z t)
5.0ms	y
5.0ms	z
5.0ms	a

Results

Accuracy	Segments	Branch
85.2%	3	`x`
80.8%	3	`y`
88.7%	3	`z`
87.3%	3	`t`
88.1%	4	`a`
88.3%	4	`(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))`
90.1%	3	`(/.f64 (*.f64 y (-.f64 z t)) a)`
85.7%	3	`(*.f64 y (-.f64 z t))`
81.2%	3	`(-.f64 z t)`

Compiler

Compiled 29 to 55 computations (-89.7% saved)

regimes134.0ms (1.6%)

Memory

-4.7MiB live, 70.4MiB allocated

Counts

13 → 3

Calls

Call 1

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

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

Calls

5 calls:

113.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)
6.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
5.0ms	a
5.0ms	z
5.0ms	t

Results

Accuracy	Segments	Branch
80.9%	3	`a`
78.6%	3	`(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))`
81.3%	3	`t`
73.7%	3	`z`
85.8%	3	`(/.f64 (*.f64 y (-.f64 z t)) a)`

Compiler

Compiled 19 to 32 computations (-68.4% saved)

regimes12.0ms (0.1%)

Memory

-24.0MiB live, 17.0MiB allocated

Counts

12 → 3

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	(*.f64 y (-.f64 z t))
4.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)

Results

Accuracy	Segments	Branch
80.2%	3	`(*.f64 y (-.f64 z t))`
85.6%	3	`(/.f64 (*.f64 y (-.f64 z t)) a)`

Compiler

Compiled 12 to 15 computations (-25% saved)

regimes31.0ms (0.4%)

Memory

0.0MiB live, 78.3MiB allocated

Counts

11 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

7 calls:

5.0ms	(-.f64 z t)
4.0ms	x
4.0ms	y
4.0ms	t
4.0ms	a

Results

Accuracy	Segments	Branch
70.0%	1	`(*.f64 y (-.f64 z t))`
70.0%	1	`y`
73.5%	3	`a`
70.0%	1	`(-.f64 z t)`
78.9%	3	`t`
70.0%	1	`x`
72.2%	2	`(/.f64 (*.f64 y (-.f64 z t)) a)`

Compiler

Compiled 19 to 41 computations (-115.8% saved)

regimes18.0ms (0.2%)

Memory

6.4MiB live, 44.8MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

6 calls:

5.0ms	x
3.0ms	z
3.0ms	a
3.0ms	t
2.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))

Results

Accuracy	Segments	Branch
70.0%	1	`x`
70.0%	1	`a`
70.0%	1	`z`
70.0%	1	`(/.f64 (*.f64 y (-.f64 z t)) a)`
70.0%	1	`(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))`
70.0%	1	`t`

Compiler

Compiled 20 to 37 computations (-85% saved)

regimes24.0ms (0.3%)

Memory

21.4MiB live, 64.8MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

9 calls:

6.0ms	a
2.0ms	z
2.0ms	t
2.0ms	(*.f64 y (-.f64 z t))
2.0ms	(-.f64 z t)

Results

Accuracy	Segments	Branch
65.7%	1	`(-.f64 z t)`
65.7%	1	`y`
65.7%	1	`z`
65.7%	1	`t`
65.7%	1	`a`
65.7%	1	`(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))`
67.7%	2	`(/.f64 (*.f64 y (-.f64 z t)) a)`
65.7%	1	`(*.f64 y (-.f64 z t))`
65.7%	1	`x`

Compiler

Compiled 29 to 55 computations (-89.7% saved)

regimes22.0ms (0.3%)

Memory

-18.3MiB live, 57.7MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

9 calls:

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

Results

Accuracy	Segments	Branch
31.7%	1	`t`
31.7%	1	`a`
31.7%	1	`(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))`
31.7%	1	`(*.f64 y (-.f64 z t))`
31.7%	1	`x`
31.7%	1	`y`
31.7%	1	`z`
31.7%	1	`(-.f64 z t)`
31.7%	1	`(/.f64 (*.f64 y (-.f64 z t)) a)`

Compiler

Compiled 29 to 55 computations (-89.7% saved)

regimes17.0ms (0.2%)

Memory

8.1MiB live, 46.4MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

9 calls:

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

Results

Accuracy	Segments	Branch
27.6%	1	`a`
27.6%	1	`x`
27.6%	1	`y`
27.6%	1	`z`
27.6%	1	`t`
27.6%	1	`(*.f64 y (-.f64 z t))`
27.6%	1	`(-.f64 z t)`
29.2%	2	`(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))`
29.2%	2	`(/.f64 (*.f64 y (-.f64 z t)) a)`

Compiler

Compiled 29 to 55 computations (-89.7% saved)

regimes18.0ms (0.2%)

Memory

-4.1MiB live, 35.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

9 calls:

7.0ms	x
1.0ms	a
1.0ms	(-.f64 z t)
1.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
1.0ms	t

Results

Accuracy	Segments	Branch
27.4%	1	`z`
27.4%	1	`t`
27.4%	1	`x`
27.4%	1	`y`
27.4%	1	`a`
27.4%	1	`(-.f64 z t)`
27.4%	1	`(*.f64 y (-.f64 z t))`
27.4%	1	`(/.f64 (*.f64 y (-.f64 z t)) a)`
27.4%	1	`(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))`

Compiler

Compiled 29 to 55 computations (-89.7% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.7161621816320136e+175	2.2779129053120886e+210
0.0ms	-9.236742469044894e+124	-6.68831011311694e+112

Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.5521499981244637e+53	4.596365529797351e+55
0.0ms	-1.5463155580636154e+156	-1.4558103527909658e+125

Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.5521499981244637e+53	4.596365529797351e+55
0.0ms	-1.5463155580636154e+156	-1.4558103527909658e+125

Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch31.0ms (0.4%)

Memory

19.6MiB live, 56.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	2.7180117702372885e+147	4.652177554342586e+156
16.0ms	-2.6290865641575257e+129	-1.367665647845669e+120

Samples

18.0ms

288×

valid

Compiler

Compiled 282 to 377 computations (-33.7% saved)

Precisions

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

ival-sub: 2.0ms (28.1% of total)

ival-div: 2.0ms (28.1% of total)

ival-mult: 2.0ms (28.1% of total)

ival-add: 1.0ms (14% of total)

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

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

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.185640761815956e+235	1.0251821566871876e+250

Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.7156308582648222e+262	-1.2367578938362323e+261

Compiler

Compiled 12 to 17 computations (-41.7% saved)

simplify32.0ms (0.4%)

Memory

0.5MiB live, 70.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	412
1	79	412
2	82	412
3	83	412

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (/.f64 y a) (-.f64 z t) x)
(if (<=.f64 (/.f64 (.f64 y (-.f64 z t)) a) #s(literal -49999999999999996243388080949644102127233543491741923071961298611264709998789651330158174688140882687576502920682776614141952 binary64)) #s(approx (+ x (/ ( y (- z t)) a)) (.f64 (/.f64 y a) (-.f64 z t))) (if (<=.f64 (/.f64 (.f64 y (-.f64 z t)) a) #s(literal 50000000000000000372449025103715994572099746929157693617982127065631992623390808013185993818695352920423280130139232314186271691640488659154528462055811941854826944868021960704 binary64)) #s(approx (+ x (/ (* y (- z t)) a)) (fma.f64 (/.f64 y a) (neg.f64 t) x)) #s(approx (+ x (/ (* y (- z t)) a)) (*.f64 (/.f64 y a) (-.f64 z t)))))
(if (<=.f64 (/.f64 (.f64 y (-.f64 z t)) a) #s(literal -999999999999999983359180223191721714560372275017470536367007614460468417501012554531477876945938741751237388344363105067534507348164573733465510370326085632 binary64)) #s(approx (+ x (/ ( y (- z t)) a)) (.f64 (/.f64 y a) (-.f64 z t))) (if (<=.f64 (/.f64 (.f64 y (-.f64 z t)) a) #s(literal 199999999999999998644189734872325595292341688388812800 binary64)) #s(approx (+ (* (/ (- z t) a) y) x) (fma.f64 (/.f64 y a) z x)) #s(approx (+ x (/ (* y (- z t)) a)) (/.f64 (*.f64 (-.f64 z t) y) a))))
(if (<=.f64 (/.f64 (.f64 y (-.f64 z t)) a) #s(literal -999999999999999983359180223191721714560372275017470536367007614460468417501012554531477876945938741751237388344363105067534507348164573733465510370326085632 binary64)) #s(approx (+ x (/ ( y (- z t)) a)) (.f64 (/.f64 y a) (-.f64 z t))) (if (<=.f64 (/.f64 (.f64 y (-.f64 z t)) a) #s(literal 199999999999999998644189734872325595292341688388812800 binary64)) #s(approx (+ (* (/ (- z t) a) y) x) (fma.f64 (/.f64 y a) z x)) #s(approx (+ x (/ (* y (- z t)) a)) (*.f64 (/.f64 y a) (-.f64 z t)))))
(if (<=.f64 t #s(literal -279999999999999982570334660458614809950750040222176443252031667346261697399620979722358840829627512210670077874828276896247054336 binary64)) #s(approx (+ x (/ (* y (- z t)) a)) (.f64 (/.f64 y a) #s(approx (- z t) (neg.f64 t)))) (if (<=.f64 t #s(literal 24000000000000000993731756729710771272402496112736719741470676818334523255868684352709734673585154299486950873915355252098651988481357561826804221607936 binary64)) #s(approx (+ ( (/ (- z t) a) y) x) (fma.f64 (/.f64 y a) z x)) #s(approx (+ x (/ (* y (- z t)) a)) (*.f64 (/.f64 y a) #s(approx (- z t) (neg.f64 t))))))
#s(approx (+ (* (/ (- z t) a) y) x) (fma.f64 (/.f64 y a) z x))
(if (<=.f64 (/.f64 (.f64 y (-.f64 z t)) a) #s(literal 100000000000000005316601966265964903560338945752451009733569729870438915222921655945950042913493049090257216818125120939629504451380536538731692163090204038766991703973342235134497506837628332312354637835291480672112369305703591381565440 binary64)) #s(approx (+ x (/ ( y (- z t)) a)) (fma.f64 (/.f64 z a) y x)) #s(approx (+ (* (/ (- z t) a) y) x) (*.f64 (/.f64 y a) z)))
#s(approx (+ (* (/ (- z t) a) y) x) (*.f64 (/.f64 y a) z))
(if (<=.f64 (+.f64 x (/.f64 (.f64 y (-.f64 z t)) a)) #s(literal -10000000000000000161728392950095834780961727121532468109675577629605415353003578843613352249644053642881905330331839631511632172467492917395324154002545647584434349098564602595580939232492998880708913562707066468760361494711018313643605437535869015444666630275072 binary64)) #s(approx (+ x (/ ( y (- z t)) a)) (.f64 (/.f64 z a) y)) #s(approx (+ x (/ ( y (- z t)) a)) (/.f64 (*.f64 z y) a)))
#s(approx (+ x (/ (* y (- z t)) a)) (*.f64 (/.f64 z a) y))

Outputs
(fma.f64 (/.f64 y a) (-.f64 z t) x)
(if (<=.f64 (/.f64 (.f64 y (-.f64 z t)) a) #s(literal -49999999999999996243388080949644102127233543491741923071961298611264709998789651330158174688140882687576502920682776614141952 binary64)) #s(approx (+ x (/ ( y (- z t)) a)) (.f64 (/.f64 y a) (-.f64 z t))) (if (<=.f64 (/.f64 (.f64 y (-.f64 z t)) a) #s(literal 50000000000000000372449025103715994572099746929157693617982127065631992623390808013185993818695352920423280130139232314186271691640488659154528462055811941854826944868021960704 binary64)) #s(approx (+ x (/ (* y (- z t)) a)) (fma.f64 (/.f64 y a) (neg.f64 t) x)) #s(approx (+ x (/ (* y (- z t)) a)) (*.f64 (/.f64 y a) (-.f64 z t)))))
(if (<=.f64 (/.f64 (.f64 (-.f64 z t) y) a) #s(literal -49999999999999996243388080949644102127233543491741923071961298611264709998789651330158174688140882687576502920682776614141952 binary64)) #s(approx (+ x (/ ( y (- z t)) a)) (.f64 (-.f64 z t) (/.f64 y a))) (if (<=.f64 (/.f64 (.f64 (-.f64 z t) y) a) #s(literal 50000000000000000372449025103715994572099746929157693617982127065631992623390808013185993818695352920423280130139232314186271691640488659154528462055811941854826944868021960704 binary64)) #s(approx (+ x (/ (* y (- z t)) a)) (fma.f64 (/.f64 y a) (neg.f64 t) x)) #s(approx (+ x (/ (* y (- z t)) a)) (*.f64 (-.f64 z t) (/.f64 y a)))))
(if (<=.f64 (/.f64 (.f64 y (-.f64 z t)) a) #s(literal -999999999999999983359180223191721714560372275017470536367007614460468417501012554531477876945938741751237388344363105067534507348164573733465510370326085632 binary64)) #s(approx (+ x (/ ( y (- z t)) a)) (.f64 (/.f64 y a) (-.f64 z t))) (if (<=.f64 (/.f64 (.f64 y (-.f64 z t)) a) #s(literal 199999999999999998644189734872325595292341688388812800 binary64)) #s(approx (+ (* (/ (- z t) a) y) x) (fma.f64 (/.f64 y a) z x)) #s(approx (+ x (/ (* y (- z t)) a)) (/.f64 (*.f64 (-.f64 z t) y) a))))
(if (<=.f64 (/.f64 (.f64 (-.f64 z t) y) a) #s(literal -999999999999999983359180223191721714560372275017470536367007614460468417501012554531477876945938741751237388344363105067534507348164573733465510370326085632 binary64)) #s(approx (+ x (/ ( y (- z t)) a)) (.f64 (-.f64 z t) (/.f64 y a))) (if (<=.f64 (/.f64 (.f64 (-.f64 z t) y) a) #s(literal 199999999999999998644189734872325595292341688388812800 binary64)) #s(approx (+ (* (/ (- z t) a) y) x) (fma.f64 (/.f64 y a) z x)) #s(approx (+ x (/ (* y (- z t)) a)) (/.f64 (*.f64 (-.f64 z t) y) a))))
(if (<=.f64 (/.f64 (.f64 y (-.f64 z t)) a) #s(literal -999999999999999983359180223191721714560372275017470536367007614460468417501012554531477876945938741751237388344363105067534507348164573733465510370326085632 binary64)) #s(approx (+ x (/ ( y (- z t)) a)) (.f64 (/.f64 y a) (-.f64 z t))) (if (<=.f64 (/.f64 (.f64 y (-.f64 z t)) a) #s(literal 199999999999999998644189734872325595292341688388812800 binary64)) #s(approx (+ (* (/ (- z t) a) y) x) (fma.f64 (/.f64 y a) z x)) #s(approx (+ x (/ (* y (- z t)) a)) (*.f64 (/.f64 y a) (-.f64 z t)))))
(if (<=.f64 (/.f64 (.f64 (-.f64 z t) y) a) #s(literal -999999999999999983359180223191721714560372275017470536367007614460468417501012554531477876945938741751237388344363105067534507348164573733465510370326085632 binary64)) #s(approx (+ x (/ ( y (- z t)) a)) (.f64 (-.f64 z t) (/.f64 y a))) (if (<=.f64 (/.f64 (.f64 (-.f64 z t) y) a) #s(literal 199999999999999998644189734872325595292341688388812800 binary64)) #s(approx (+ (* (/ (- z t) a) y) x) (fma.f64 (/.f64 y a) z x)) #s(approx (+ x (/ (* y (- z t)) a)) (*.f64 (-.f64 z t) (/.f64 y a)))))
(if (<=.f64 t #s(literal -279999999999999982570334660458614809950750040222176443252031667346261697399620979722358840829627512210670077874828276896247054336 binary64)) #s(approx (+ x (/ (* y (- z t)) a)) (.f64 (/.f64 y a) #s(approx (- z t) (neg.f64 t)))) (if (<=.f64 t #s(literal 24000000000000000993731756729710771272402496112736719741470676818334523255868684352709734673585154299486950873915355252098651988481357561826804221607936 binary64)) #s(approx (+ ( (/ (- z t) a) y) x) (fma.f64 (/.f64 y a) z x)) #s(approx (+ x (/ (* y (- z t)) a)) (*.f64 (/.f64 y a) #s(approx (- z t) (neg.f64 t))))))
(if (<=.f64 t #s(literal -279999999999999982570334660458614809950750040222176443252031667346261697399620979722358840829627512210670077874828276896247054336 binary64)) #s(approx (+ x (/ (* y (- z t)) a)) (.f64 #s(approx (- z t) (neg.f64 t)) (/.f64 y a))) (if (<=.f64 t #s(literal 24000000000000000993731756729710771272402496112736719741470676818334523255868684352709734673585154299486950873915355252098651988481357561826804221607936 binary64)) #s(approx (+ ( (/ (- z t) a) y) x) (fma.f64 (/.f64 y a) z x)) #s(approx (+ x (/ (* y (- z t)) a)) (*.f64 #s(approx (- z t) (neg.f64 t)) (/.f64 y a)))))
#s(approx (+ (* (/ (- z t) a) y) x) (fma.f64 (/.f64 y a) z x))
(if (<=.f64 (/.f64 (.f64 y (-.f64 z t)) a) #s(literal 100000000000000005316601966265964903560338945752451009733569729870438915222921655945950042913493049090257216818125120939629504451380536538731692163090204038766991703973342235134497506837628332312354637835291480672112369305703591381565440 binary64)) #s(approx (+ x (/ ( y (- z t)) a)) (fma.f64 (/.f64 z a) y x)) #s(approx (+ (* (/ (- z t) a) y) x) (*.f64 (/.f64 y a) z)))
(if (<=.f64 (/.f64 (.f64 (-.f64 z t) y) a) #s(literal 100000000000000005316601966265964903560338945752451009733569729870438915222921655945950042913493049090257216818125120939629504451380536538731692163090204038766991703973342235134497506837628332312354637835291480672112369305703591381565440 binary64)) #s(approx (+ x (/ ( y (- z t)) a)) (fma.f64 (/.f64 z a) y x)) #s(approx (+ (* (/ (- z t) a) y) x) (*.f64 z (/.f64 y a))))
#s(approx (+ (* (/ (- z t) a) y) x) (*.f64 (/.f64 y a) z))
#s(approx (+ (* (/ (- z t) a) y) x) (*.f64 z (/.f64 y a)))
(if (<=.f64 (+.f64 x (/.f64 (.f64 y (-.f64 z t)) a)) #s(literal -10000000000000000161728392950095834780961727121532468109675577629605415353003578843613352249644053642881905330331839631511632172467492917395324154002545647584434349098564602595580939232492998880708913562707066468760361494711018313643605437535869015444666630275072 binary64)) #s(approx (+ x (/ ( y (- z t)) a)) (.f64 (/.f64 z a) y)) #s(approx (+ x (/ ( y (- z t)) a)) (/.f64 (*.f64 z y) a)))
(if (<=.f64 (+.f64 (/.f64 (.f64 (-.f64 z t) y) a) x) #s(literal -10000000000000000161728392950095834780961727121532468109675577629605415353003578843613352249644053642881905330331839631511632172467492917395324154002545647584434349098564602595580939232492998880708913562707066468760361494711018313643605437535869015444666630275072 binary64)) #s(approx (+ x (/ ( y (- z t)) a)) (.f64 (/.f64 z a) y)) #s(approx (+ x (/ ( y (- z t)) a)) (/.f64 (*.f64 z y) a)))
#s(approx (+ x (/ (* y (- z t)) a)) (*.f64 (/.f64 z a) y))

soundness1.4s (16.6%)

Memory

-32.3MiB live, 741.7MiB allocated

Rules

10 322×	`lower-fma.f64`
10 322×	`lower-fma.f32`
9 198×	`lower-fma.f64`
9 198×	`lower-fma.f32`
9 032×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	341	5666
1	1028	5458
2	3128	5302
0	8401	5112
0	114	1159
1	378	1059
2	1253	1059
3	4073	1053
4	7809	1053
0	8822	1007
0	9	24
0	13	24
1	52	24
2	423	24
3	7091	24
0	8260	23
0	255	5382
1	805	5132
2	2539	4992
3	6930	4992
0	8032	4786
0	23	100
0	37	97
1	151	97
2	941	97
0	8376	97

Stop Event

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

Compiler

Compiled 495 to 310 computations (37.4% saved)

preprocess252.0ms (2.9%)

Memory: 27.2MiB live, 104.2MiB allocated
Compiler: Compiled 562 to 178 computations (68.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze161.0ms (1.9%)

sample1.4s (16.3%)

explain94.0ms (1.1%)

preprocess116.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify65.0ms (0.7%)

localize25.0ms (0.3%)

series19.0ms (0.2%)

simplify164.0ms (1.9%)

rewrite178.0ms (2.1%)

eval49.0ms (0.6%)

prune16.0ms (0.2%)

simplify76.0ms (0.9%)

localize63.0ms (0.7%)

series50.0ms (0.6%)

simplify254.0ms (3%)

rewrite249.0ms (2.9%)

eval548.0ms (6.4%)

prune313.0ms (3.6%)

simplify156.0ms (1.8%)

localize97.0ms (1.1%)

series47.0ms (0.5%)

simplify250.0ms (2.9%)

rewrite180.0ms (2.1%)

eval327.0ms (3.8%)

prune100.0ms (1.2%)

simplify89.0ms (1%)

localize114.0ms (1.3%)

series71.0ms (0.8%)

simplify342.0ms (4%)

rewrite310.0ms (3.6%)

eval257.0ms (3%)

prune100.0ms (1.2%)

regimes233.0ms (2.7%)

regimes73.0ms (0.9%)

regimes134.0ms (1.6%)

regimes12.0ms (0.1%)

regimes31.0ms (0.4%)

regimes18.0ms (0.2%)

regimes24.0ms (0.3%)

regimes22.0ms (0.3%)

regimes17.0ms (0.2%)

regimes18.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch31.0ms (0.4%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify32.0ms (0.4%)

soundness1.4s (16.6%)

preprocess252.0ms (2.9%)

end0.0ms (0%)

Profiling