Metrics for Numeric.AD.Rank1.Halley:findZero from ad-4.2.4

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze292.0ms (4.1%)

Memory

-9.7MiB live, 321.1MiB 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
25%	25%	74.9%	0.2%	0%	0%	0%	5
25%	25%	74.9%	0.2%	0%	0%	0%	6
31.3%	31.2%	68.6%	0.2%	0%	0%	0%	7
40.6%	40.5%	59.3%	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
54.7%	54.6%	45.2%	0.2%	0%	0%	0%	11
62.5%	62.4%	37.4%	0.2%	0%	0%	0%	12

Compiler

Compiled 19 to 15 computations (21.1% saved)

sample1.5s (20.3%)

Memory

10.0MiB live, 1 418.5MiB allocated

Samples

1.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 682.0ms

ival-mult: 364.0ms (53.4% of total)

ival-sub: 254.0ms (37.3% of total)

ival-div: 49.0ms (7.2% of total)

ival-true: 7.0ms (1% of total)

exact: 5.0ms (0.7% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain352.0ms (4.9%)

Memory

27.0MiB live, 185.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
83	-	3	(2.775153479931787e+23 2.3430039429106303e-202 -3.996192456039308e-118 -3.613053804197523e-100)	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`
3	-	0	-	`(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))`
0	-	0	-	`(*.f64 y t)`
0	-	0	-	`(.f64 (.f64 y #s(literal 2 binary64)) z)`
0	-	0	-	`t`
0	-	0	-	`(.f64 (.f64 z #s(literal 2 binary64)) z)`
0	-	0	-	`z`
0	-	0	-	`(*.f64 y #s(literal 2 binary64))`
0	-	0	-	`y`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(*.f64 z #s(literal 2 binary64))`
0	-	0	-	`(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`	o/n	9	0
↳	`(.f64 (.f64 y #s(literal 2 binary64)) z)`	overflow	26
`/.f64`	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`	o/o	6	0
↳	`(.f64 (.f64 y #s(literal 2 binary64)) z)`	overflow	26
↳	`(*.f64 y t)`	overflow	31
↳	`(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))`	overflow	77
↳	`(.f64 (.f64 z #s(literal 2 binary64)) z)`	overflow	53
`/.f64`	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`	n/o	5	0
↳	`(*.f64 y t)`	overflow	31
↳	`(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))`	overflow	77
↳	`(.f64 (.f64 z #s(literal 2 binary64)) z)`	overflow	53
`-.f64`	`(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))`	nan-rescue	3	0
↳	`(.f64 (.f64 z #s(literal 2 binary64)) z)`	overflow	53
↳	`(*.f64 y t)`	overflow	31
`/.f64`	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`	u/n	3	0
↳	`(.f64 (.f64 y #s(literal 2 binary64)) z)`	underflow	22
`/.f64`	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`	u/u	1	0
↳	`(.f64 (.f64 y #s(literal 2 binary64)) z)`	underflow	22
↳	`(*.f64 y t)`	underflow	28
↳	`(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))`	underflow	4
↳	`(.f64 (.f64 z #s(literal 2 binary64)) z)`	underflow	52

Confusion

	Predicted +	Predicted -
+	26	11
-	1	218

Precision

0.9629629629629629

Recall

0.7027027027027027

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	26	0	11
-	1	0	218

Precision?

0.9629629629629629

Recall?

0.7027027027027027

Freqs

test

number	freq
0	229
1	27

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

228.0ms

512×

valid

Compiler

Compiled 151 to 43 computations (71.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 109.0ms

ival-div: 83.0ms (76% of total)

ival-mult: 21.0ms (19.2% of total)

ival-sub: 5.0ms (4.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess258.0ms (3.6%)

Memory

1.4MiB live, 120.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	250
1	218	244
2	601	238
3	1943	238
4	4398	238
5	6221	238
6	7521	238
7	7782	238
8	7835	238
9	7870	238
0	13	17
0	21	17
1	38	17
2	80	17
3	195	17
4	391	17
5	687	17
6	1540	17
7	2286	17
8	2461	17
9	2515	17
10	2538	17
11	2540	17
12	2549	17
13	2561	17
14	2580	17
15	2580	17
0	2580	15

Stop Event

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

Calls

Call 1

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

Outputs

(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))

(fma.f64 (/.f64 (*.f64 z y) (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) #s(literal 2 binary64) x)

Compiler

Compiled 17 to 13 computations (23.5% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.0%	(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify80.0ms (1.1%)

Memory

-2.3MiB live, 34.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y #s(literal 2 binary64))
cost-diff	0	(.f64 (.f64 y #s(literal 2 binary64)) z)
cost-diff	128	(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))
cost-diff	128	(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	65
0	21	65
1	38	65
2	80	65
3	195	65
4	391	65
5	687	65
6	1540	65
7	2286	65
8	2461	65
9	2515	65
10	2538	65
11	2540	65
12	2549	65
13	2561	65
14	2580	65
15	2580	65
0	2580	62

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize53.0ms (0.7%)

Memory

-12.7MiB live, 70.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y t)
accuracy	0	(*.f64 y #s(literal 2 binary64))
accuracy	0.7109333716604116	(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))
accuracy	19.349751049741442	(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))

Samples

32.0ms

256×

valid

Compiler

Compiled 67 to 15 computations (77.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 15.0ms (77.1% of total)

ival-div: 2.0ms (10.3% of total)

ival-sub: 2.0ms (10.3% of total)

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

exact: 0.0ms (0% of total)

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

series27.0ms (0.4%)

Memory

-4.2MiB live, 72.2MiB allocated

Counts

6 → 180

Calls

Call 1

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

Outputs
#s(alt (- x (/ y z)) (taylor 0 t) (#s(alt (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) (patch (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) (taylor 0 t) (#s(alt (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) (patch (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) (taylor 0 t) (#s(alt (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) (patch (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) (taylor 0 t) (#s(alt (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) (patch (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 t) (#s(alt (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t))) (patch (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z)) (taylor 0 t) (#s(alt (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t))) (patch (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t))) #<representation binary64>) () ())) ())
#s(alt (+ (* t (+ (* 1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3))))) (/ y z)) (taylor 0 t) (#s(alt (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t))) (patch (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t))) #<representation binary64>) () ())) ())
#s(alt (+ (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* 1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))))) (/ y z)) (taylor 0 t) (#s(alt (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t))) (patch (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow z 2)) (taylor 0 t) (#s(alt (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)) (patch (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* t y)) (* 2 (pow z 2))) (taylor 0 t) (#s(alt (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)) (patch (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* t y)) (* 2 (pow z 2))) (taylor 0 t) (#s(alt (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)) (patch (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* t y)) (* 2 (pow z 2))) (taylor 0 t) (#s(alt (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)) (patch (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)) #<representation binary64>) () ())) ())
#s(alt (* t y) (taylor 0 t) (#s(alt (.f64 y t) (patch (.f64 y t) #<representation binary64>) () ())) ())
#s(alt (* t y) (taylor 0 t) (#s(alt (.f64 y t) (patch (.f64 y t) #<representation binary64>) () ())) ())
#s(alt (* t y) (taylor 0 t) (#s(alt (.f64 y t) (patch (.f64 y t) #<representation binary64>) () ())) ())
#s(alt (* t y) (taylor 0 t) (#s(alt (.f64 y t) (patch (.f64 y t) #<representation binary64>) () ())) ())
#s(alt x (taylor inf t) (#s(alt (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) (patch (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* 2 (/ z t))) (taylor inf t) (#s(alt (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) (patch (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) (taylor inf t) (#s(alt (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) (patch (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) (taylor inf t) (#s(alt (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) (patch (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ z t)) (taylor inf t) (#s(alt (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t))) (patch (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t) (taylor inf t) (#s(alt (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t))) (patch (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z))) t) (taylor inf t) (#s(alt (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t))) (patch (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -16 (/ (pow z 7) (* (pow t 3) (pow y 3)))) (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)))) t) (taylor inf t) (#s(alt (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t))) (patch (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t y)) (taylor inf t) (#s(alt (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)) (patch (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)) #<representation binary64>) () ())) ())
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#s(alt (- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) (taylor 0 x) (#s(alt (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) (patch (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt (- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) (taylor 0 x) (#s(alt (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) (patch (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt (- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) (taylor 0 x) (#s(alt (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) (patch (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) (patch (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) (taylor inf x) (#s(alt (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) (patch (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) (taylor inf x) (#s(alt (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) (patch (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) (taylor inf x) (#s(alt (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) (patch (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) (patch (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) (patch (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) (patch (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) (patch (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	z	@	inf	((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* y 2) (- (* (* z 2) z) (* y t)) (* y t))
2.0ms	y	@	0	((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* y 2) (- (* (* z 2) z) (* y t)) (* y t))
2.0ms	y	@	inf	((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* y 2) (- (* (* z 2) z) (* y t)) (* y t))
2.0ms	z	@	0	((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* y 2) (- (* (* z 2) z) (* y t)) (* y t))
2.0ms	y	@	-inf	((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* y 2) (- (* (* z 2) z) (* y t)) (* y t))

simplify161.0ms (2.2%)

Memory

34.6MiB live, 266.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	347	2232
1	1030	2196
2	3147	2169
0	8645	2049

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 172

Calls

Call 1

Inputs
(- x (/ y z))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(/ y z)
(+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z))
(+ (* t (+ (* 1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3))))) (/ y z))
(+ (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* 1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))))) (/ y z))
(* 2 (pow z 2))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(* t y)
(* t y)
(* t y)
(* t y)
x
(+ x (* 2 (/ z t)))
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
(* -2 (/ z t))
(/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t)
(/ (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z))) t)
(/ (+ (* -16 (/ (pow z 7) (* (pow t 3) (pow y 3)))) (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)))) t)
(* -1 (* t y))
(* t (- (* 2 (/ (pow z 2) t)) y))
(* t (- (* 2 (/ (pow z 2) t)) y))
(* t (- (* 2 (/ (pow z 2) t)) y))
(* t y)
(* t y)
(* t y)
(* t y)
x
(+ x (* 2 (/ z t)))
(+ x (* -1 (/ (- (* -4 (/ (pow z 3) (* t y))) (* 2 z)) t)))
(+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t)))
(* -2 (/ z t))
(* -1 (/ (+ (* 2 z) (* 4 (/ (pow z 3) (* t y)))) t))
(* -1 (/ (+ (* -1 (/ (+ (* -8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t))
(* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (pow z 3) y)) (* -1 (/ (+ (* 8 (/ (pow z 5) (pow y 2))) (* 16 (/ (pow z 7) (* t (pow y 3))))) t))) t)) (* 2 z)) t))
(* -1 (* t y))
(* -1 (* t (- (* -2 (/ (pow z 2) t)) (* -1 y))))
(* -1 (* t (- (* -2 (/ (pow z 2) t)) (* -1 y))))
(* -1 (* t (- (* -2 (/ (pow z 2) t)) (* -1 y))))
(* t y)
(* t y)
(* t y)
(* t y)
x
(+ x (* 2 (/ z t)))
(+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t)))))
(+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))))
(* -2 (/ z t))
(* z (- (* -4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t))))
(* z (- (* (pow z 2) (- (* -8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))
(* z (- (* (pow z 2) (- (* (pow z 2) (- (* -16 (/ (pow z 2) (* (pow t 4) (pow y 3)))) (* 8 (/ 1 (* (pow t 3) (pow y 2)))))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* -1 (* t y))
(- (* 2 (pow z 2)) (* t y))
(- (* 2 (pow z 2)) (* t y))
(- (* 2 (pow z 2)) (* t y))
x
(+ x (* -1 (/ y z)))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(- (+ x (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5)))) (+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z)))
(/ y z)
(/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z)
(/ (+ y (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2))))) z)
(/ (+ y (+ (* 1/8 (/ (* (pow t 3) (pow y 4)) (pow z 6))) (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2)))))) z)
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (pow z 2))
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))
x
(+ x (* -1 (/ y z)))
(+ x (* -1 (/ (- (* 1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1 y)) z)))
(+ x (* -1 (/ (- (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2))))) z)))
(/ y z)
(* -1 (/ (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2)))) z))
(* -1 (/ (+ (* -1 y) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))))) z))
(* -1 (/ (+ (* -1 y) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 2))) (+ (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* -1/8 (/ (* (pow t 3) (pow y 4)) (pow z 6)))))) z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (pow z 2))
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))
x
(+ x (* -1 (/ y z)))
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))))
(+ x (* y (- (* y (- (* -1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z))))
(/ y z)
(* y (+ (* 1/2 (/ (* t y) (pow z 3))) (/ 1 z)))
(* y (+ (* y (+ (* 1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z)))
(* y (+ (* y (+ (* 1/2 (/ t (pow z 3))) (* y (+ (* 1/8 (/ (* (pow t 3) y) (pow z 7))) (* 1/4 (/ (pow t 2) (pow z 5))))))) (/ 1 z)))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 (pow z 2))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(* t y)
(* t y)
(* t y)
(* t y)
(- x (* -2 (/ z t)))
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
(- (+ x (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))))
(* -2 (/ z t))
(+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))
(+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
(+ (* -16 (/ (pow z 7) (* (pow t 4) (pow y 3)))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* -1 (* t y))
(* y (- (* 2 (/ (pow z 2) y)) t))
(* y (- (* 2 (/ (pow z 2) y)) t))
(* y (- (* 2 (/ (pow z 2) y)) t))
(* t y)
(* t y)
(* t y)
(* t y)
(- x (* -2 (/ z t)))
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))
(* -2 (/ z t))
(+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))
(+ (* -2 (/ z t)) (* -1 (/ (+ (* 4 (/ (pow z 3) (pow t 2))) (* 8 (/ (pow z 5) (* (pow t 3) y)))) y)))
(+ (* -2 (/ z t)) (* -1 (/ (+ (* -1 (/ (+ (* -16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y)))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* -1 (* t y))
(* -1 (* y (- (* -2 (/ (pow z 2) y)) (* -1 t))))
(* -1 (* y (- (* -2 (/ (pow z 2) y)) (* -1 t))))
(* -1 (* y (- (* -2 (/ (pow z 2) y)) (* -1 t))))
(* t y)
(* t y)
(* t y)
(* t y)
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
x
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
x
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))

Outputs
(- x (/ y z))
(-.f64 x (/.f64 y z))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(fma.f64 (.f64 (.f64 y y) #s(literal -1/2 binary64)) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (-.f64 x (/.f64 y z)))
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(fma.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) t) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (.f64 (*.f64 y y) #s(literal -1/2 binary64)) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z)))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) t) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 7 binary64))) (/.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64)) (pow.f64 z #s(literal 5 binary64)))) t (/.f64 (.f64 (.f64 y y) #s(literal -1/2 binary64)) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z)))
(/ y z)
(/.f64 y z)
(+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z))
(.f64 (fma.f64 (.f64 (/.f64 t (pow.f64 z #s(literal 3 binary64))) #s(literal 1/2 binary64)) y (/.f64 #s(literal 1 binary64) z)) y)
(+ (* t (+ (* 1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3))))) (/ y z))
(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) (/.f64 y (pow.f64 z #s(literal 3 binary64))) (.f64 (*.f64 t #s(literal 1/4 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))))) t (/.f64 y z))
(+ (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* 1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))))) (/ y z))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 t (pow.f64 z #s(literal 7 binary64))) (.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 z #s(literal 5 binary64))))) t (.f64 (.f64 #s(literal 1/2 binary64) y) (/.f64 y (pow.f64 z #s(literal 3 binary64))))) t (/.f64 y z))
(* 2 (pow z 2))
(.f64 (.f64 z z) #s(literal 2 binary64))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(fma.f64 (neg.f64 y) t (.f64 (.f64 z z) #s(literal 2 binary64)))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(fma.f64 (neg.f64 y) t (.f64 (.f64 z z) #s(literal 2 binary64)))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(fma.f64 (neg.f64 y) t (.f64 (.f64 z z) #s(literal 2 binary64)))
(* t y)
(*.f64 t y)
(* t y)
(*.f64 t y)
(* t y)
(*.f64 t y)
(* t y)
(*.f64 t y)
x
(+ x (* 2 (/ z t)))
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x)
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t))
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
(-.f64 x (/.f64 (fma.f64 #s(literal -2 binary64) z (/.f64 (fma.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) (/.f64 (pow.f64 z #s(literal 5 binary64)) t) (.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal -4 binary64))) t)) t))
(* -2 (/ z t))
(*.f64 #s(literal -2 binary64) (/.f64 z t))
(/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t)
(/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t)
(/ (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z))) t)
(/.f64 (fma.f64 (pow.f64 z #s(literal 5 binary64)) (/.f64 #s(literal -8 binary64) (.f64 (.f64 (.f64 t t) y) y)) (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (.f64 #s(literal -2 binary64) z))) t)
(/ (+ (* -16 (/ (pow z 7) (* (pow t 3) (pow y 3)))) (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)))) t)
(/.f64 (fma.f64 (/.f64 #s(literal -16 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (pow.f64 z #s(literal 5 binary64)) (/.f64 #s(literal -8 binary64) (.f64 (.f64 (.f64 t t) y) y)) (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (.f64 #s(literal -2 binary64) z)))) t)
(* -1 (* t y))
(*.f64 (neg.f64 t) y)
(* t (- (* 2 (/ (pow z 2) t)) y))
(.f64 (-.f64 (.f64 (*.f64 z (/.f64 z t)) #s(literal 2 binary64)) y) t)
(* t (- (* 2 (/ (pow z 2) t)) y))
(.f64 (-.f64 (.f64 (*.f64 z (/.f64 z t)) #s(literal 2 binary64)) y) t)
(* t (- (* 2 (/ (pow z 2) t)) y))
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(fma.f64 (/.f64 #s(literal -2 binary64) t) z (/.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) t) #s(literal -4 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -16 binary64) (pow.f64 t #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 7 binary64)) y) (*.f64 (pow.f64 z #s(literal 5 binary64)) (/.f64 #s(literal -8 binary64) (pow.f64 t #s(literal 3 binary64))))) y)) y))
(* 2 (* y z))
(.f64 (.f64 z y) #s(literal 2 binary64))
(* 2 (* y z))
(.f64 (.f64 z y) #s(literal 2 binary64))
(* 2 (* y z))
(.f64 (.f64 z y) #s(literal 2 binary64))
(* 2 (* y z))
(.f64 (.f64 z y) #s(literal 2 binary64))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* -1 (* t y))
(*.f64 (neg.f64 t) y)
(* -1 (* y (- (* -2 (/ (pow z 2) y)) (* -1 t))))
(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal -2 binary64) t) (neg.f64 y))
(* -1 (* y (- (* -2 (/ (pow z 2) y)) (* -1 t))))
(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal -2 binary64) t) (neg.f64 y))
(* -1 (* y (- (* -2 (/ (pow z 2) y)) (* -1 t))))
(.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal -2 binary64) t) (neg.f64 y))
(* t y)
(*.f64 t y)
(* t y)
(*.f64 t y)
(* t y)
(*.f64 t y)
(* t y)
(*.f64 t y)
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))
(.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 t y))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(fma.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (.f64 #s(literal -2 binary64) z) z (*.f64 t y))) x)
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(fma.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (.f64 #s(literal -2 binary64) z) z (*.f64 t y))) x)
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(fma.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (.f64 #s(literal -2 binary64) z) z (*.f64 t y))) x)
x
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(.f64 (fma.f64 (/.f64 (.f64 z y) (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 t y))) (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) x)
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(.f64 (fma.f64 (/.f64 (.f64 z y) (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 t y))) (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) x)
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(.f64 (fma.f64 (/.f64 (.f64 z y) (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 t y))) (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) x)
x
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(.f64 (fma.f64 (/.f64 (.f64 z y) (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 t y))) (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) x)
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(.f64 (fma.f64 (/.f64 (.f64 z y) (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 t y))) (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) x)
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(.f64 (fma.f64 (/.f64 (.f64 z y) (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 t y))) (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) x)

rewrite289.0ms (4%)

Memory

-11.8MiB live, 313.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	52
0	21	52
1	71	52
2	541	52
3	7465	52
0	8831	49

Stop Event

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

Counts

6 → 412

Calls

Call 1

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

Outputs
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eval77.0ms (1.1%)

Memory: -15.0MiB live, 137.9MiB allocated
Compiler: Compiled 19 430 to 1 609 computations (91.7% saved)

prune15.0ms (0.2%)

Memory

19.1MiB live, 58.2MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	578	6	584
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	579	6	585

Accuracy

100.0%

Counts

585 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	85.5%	(fma.f64 (.f64 z y) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 t y))) x)
▶	93.3%	(fma.f64 y (/.f64 (.f64 #s(literal -2 binary64) z) (fma.f64 (neg.f64 t) y (.f64 (*.f64 z #s(literal 2 binary64)) z))) x)
▶	63.2%	(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
▶	62.5%	(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t))))
▶	62.4%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x))
▶	19.7%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 t y)))))

Compiler

Compiled 134 to 124 computations (7.5% saved)

simplify127.0ms (1.8%)

Memory

13.1MiB live, 52.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 z (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 t y)))
cost-diff	0	(*.f64 #s(literal 2 binary64) y)
cost-diff	0	(.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 t y))))
cost-diff	0	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 t y)))))
cost-diff	0	(/.f64 z t)
cost-diff	0	(*.f64 #s(literal -2 binary64) (/.f64 z t))
cost-diff	0	#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))
cost-diff	0	(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t))))
cost-diff	0	(/.f64 #s(literal 2 binary64) t)
cost-diff	0	(fma.f64 (/.f64 #s(literal 2 binary64) t) z x)
cost-diff	0	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x))
cost-diff	0	(/.f64 y z)
cost-diff	0	#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))
cost-diff	0	(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
cost-diff	0	(fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z))
cost-diff	0	(*.f64 #s(literal -2 binary64) z)
cost-diff	0	(fma.f64 y (/.f64 (.f64 #s(literal -2 binary64) z) (fma.f64 (neg.f64 t) y (.f64 (*.f64 z #s(literal 2 binary64)) z))) x)
cost-diff	128	(/.f64 (.f64 #s(literal -2 binary64) z) (fma.f64 (neg.f64 t) y (.f64 (*.f64 z #s(literal 2 binary64)) z)))

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	37	274
0	60	274
1	113	274
2	184	272
3	328	268
4	543	268
5	864	264
6	1877	264
7	2764	264
8	3170	264
9	3315	264
10	3364	264
11	3372	264
12	3385	264
13	3397	264
14	3424	264
15	3424	264
16	3464	264
17	3736	264
0	3736	264

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize97.0ms (1.3%)

Memory

-10.5MiB live, 109.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.2617159976055602	(fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 t y))
accuracy	5.881582927617624	(.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 t y))))
accuracy	14.907774731239336	(/.f64 z (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 t y)))
accuracy	48.51152365228842	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 t y)))))
accuracy	0	(/.f64 z t)
accuracy	0	(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t))))
accuracy	0	(*.f64 #s(literal -2 binary64) (/.f64 z t))
accuracy	31.855086114065692	#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))
accuracy	0	(/.f64 #s(literal 2 binary64) t)
accuracy	0.1484375	(fma.f64 (/.f64 #s(literal 2 binary64) t) z x)
accuracy	24.007481369965173	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x))
accuracy	0	(/.f64 y z)
accuracy	0	(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
accuracy	30.878595027324554	#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))
accuracy	0	(neg.f64 t)
accuracy	0.49999449521112044	(fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z))
accuracy	0.9952926495498388	(fma.f64 y (/.f64 (.f64 #s(literal -2 binary64) z) (fma.f64 (neg.f64 t) y (.f64 (*.f64 z #s(literal 2 binary64)) z))) x)
accuracy	14.91138750268788	(/.f64 (.f64 #s(literal -2 binary64) z) (fma.f64 (neg.f64 t) y (.f64 (*.f64 z #s(literal 2 binary64)) z)))

Samples

66.0ms

256×

valid

Compiler

Compiled 242 to 35 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 22.0ms (54.8% of total)

ival-div: 10.0ms (24.9% of total)

ival-add: 4.0ms (10% of total)

ival-sub: 2.0ms (5% of total)

ival-neg: 1.0ms (2.5% of total)

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

exact: 0.0ms (0% of total)

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

series60.0ms (0.8%)

Memory

9.2MiB live, 88.5MiB allocated

Counts

20 → 648

Calls

Call 1

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

Outputs
#s(alt (/ -1 z) (taylor 0 t) (#s(alt (/.f64 (.f64 #s(literal -2 binary64) z) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z))) (patch (/.f64 (.f64 #s(literal -2 binary64) z) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z))) #<representation binary64>) () ())) ())
#s(alt (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)) (taylor 0 t) (#s(alt (/.f64 (.f64 #s(literal -2 binary64) z) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z))) (patch (/.f64 (.f64 #s(literal -2 binary64) z) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z))) #<representation binary64>) () ())) ())
#s(alt (- (* t (+ (* -1/2 (/ y (pow z 3))) (* -1/4 (/ (* t (pow y 2)) (pow z 5))))) (/ 1 z)) (taylor 0 t) (#s(alt (/.f64 (.f64 #s(literal -2 binary64) z) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z))) (patch (/.f64 (.f64 #s(literal -2 binary64) z) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z))) #<representation binary64>) () ())) ())
#s(alt (- (* t (+ (* -1/2 (/ y (pow z 3))) (* t (+ (* -1/4 (/ (pow y 2) (pow z 5))) (* -1/8 (/ (* t (pow y 3)) (pow z 7))))))) (/ 1 z)) (taylor 0 t) (#s(alt (/.f64 (.f64 #s(literal -2 binary64) z) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z))) (patch (/.f64 (.f64 #s(literal -2 binary64) z) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ y z))) (taylor 0 t) (#s(alt (fma.f64 y (/.f64 (.f64 #s(literal -2 binary64) z) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z))) x) (patch (fma.f64 y (/.f64 (.f64 #s(literal -2 binary64) z) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z))) x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3))))) (taylor 0 t) (#s(alt (fma.f64 y (/.f64 (.f64 #s(literal -2 binary64) z) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z))) x) (patch (fma.f64 y (/.f64 (.f64 #s(literal -2 binary64) z) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z))) x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* -1/4 (/ (* t (pow y 3)) (pow z 5))))))) (taylor 0 t) (#s(alt (fma.f64 y (/.f64 (.f64 #s(literal -2 binary64) z) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z))) x) (patch (fma.f64 y (/.f64 (.f64 #s(literal -2 binary64) z) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z))) x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* -1/4 (/ (pow y 3) (pow z 5))) (* -1/8 (/ (* t (pow y 4)) (pow z 7))))))))) (taylor 0 t) (#s(alt (fma.f64 y (/.f64 (.f64 #s(literal -2 binary64) z) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z))) x) (patch (fma.f64 y (/.f64 (.f64 #s(literal -2 binary64) z) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z))) x) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow z 2)) (taylor 0 t) (#s(alt (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z)) (patch (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* t y)) (* 2 (pow z 2))) (taylor 0 t) (#s(alt (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z)) (patch (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* t y)) (* 2 (pow z 2))) (taylor 0 t) (#s(alt (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z)) (patch (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* t y)) (* 2 (pow z 2))) (taylor 0 t) (#s(alt (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z)) (patch (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (- x (/ y z)) (taylor 0 t) (#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) (taylor 0 t) (#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) (taylor 0 t) (#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) (taylor 0 t) (#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 t) (#s(alt #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) (patch #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z)) (taylor 0 t) (#s(alt #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) (patch #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ (* t (+ (* 1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3))))) (/ y z)) (taylor 0 t) (#s(alt #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) (patch #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* 1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))))) (/ y z)) (taylor 0 t) (#s(alt #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) (patch #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (- x (/ y z)) (taylor 0 t) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) (taylor 0 t) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) (taylor 0 t) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) (taylor 0 t) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ z t)) (taylor 0 t) (#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) (patch (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 2 z) (* t x)) t) (taylor 0 t) (#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) (patch (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 2 z) (* t x)) t) (taylor 0 t) (#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) (patch (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 2 z) (* t x)) t) (taylor 0 t) (#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) (patch (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) #<representation binary64>) () ())) ())
#s(alt (/ 2 t) (taylor 0 t) (#s(alt (/.f64 #s(literal 2 binary64) t) (patch (/.f64 #s(literal 2 binary64) t) #<representation binary64>) () ())) ())
#s(alt (/ 2 t) (taylor 0 t) (#s(alt (/.f64 #s(literal 2 binary64) t) (patch (/.f64 #s(literal 2 binary64) t) #<representation binary64>) () ())) ())
#s(alt (/ 2 t) (taylor 0 t) (#s(alt (/.f64 #s(literal 2 binary64) t) (patch (/.f64 #s(literal 2 binary64) t) #<representation binary64>) () ())) ())
#s(alt (/ 2 t) (taylor 0 t) (#s(alt (/.f64 #s(literal 2 binary64) t) (patch (/.f64 #s(literal 2 binary64) t) #<representation binary64>) () ())) ())
#s(alt (- x (/ y z)) (taylor 0 t) (#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 #s(literal -2 binary64) (/.f64 z t)))) (patch (-.f64 x #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) (taylor 0 t) (#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 #s(literal -2 binary64) (/.f64 z t)))) (patch (-.f64 x #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) #<representation binary64>) () ())) ())
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#s(alt (* x (+ 1 (* -2 (/ (* y z) (* x (+ (* -1 (* t y)) (* 2 (pow z 2)))))))) (taylor inf x) (#s(alt (fma.f64 y (/.f64 (.f64 #s(literal -2 binary64) z) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z))) x) (patch (fma.f64 y (/.f64 (.f64 #s(literal -2 binary64) z) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z))) x) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) (taylor inf x) (#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) (taylor inf x) (#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) (taylor inf x) (#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) (taylor inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) (taylor inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) (taylor inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) (patch (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 2 (/ z (* t x))))) (taylor inf x) (#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) (patch (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 2 (/ z (* t x))))) (taylor inf x) (#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) (patch (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 2 (/ z (* t x))))) (taylor inf x) (#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) (patch (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 #s(literal -2 binary64) (/.f64 z t)))) (patch (-.f64 x #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) (taylor inf x) (#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 #s(literal -2 binary64) (/.f64 z t)))) (patch (-.f64 x #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) (taylor inf x) (#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 #s(literal -2 binary64) (/.f64 z t)))) (patch (-.f64 x #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) (taylor inf x) (#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 #s(literal -2 binary64) (/.f64 z t)))) (patch (-.f64 x #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 t y))))) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 t y))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) (taylor inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 t y))))) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 t y))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) (taylor inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 t y))))) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 t y))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) (taylor inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 t y))))) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 t y))))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 y (/.f64 (.f64 #s(literal -2 binary64) z) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z))) x) (patch (fma.f64 y (/.f64 (.f64 #s(literal -2 binary64) z) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (+ (* -1 (* t y)) (* 2 (pow z 2)))))) 1))) (taylor -inf x) (#s(alt (fma.f64 y (/.f64 (.f64 #s(literal -2 binary64) z) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z))) x) (patch (fma.f64 y (/.f64 (.f64 #s(literal -2 binary64) z) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (+ (* -1 (* t y)) (* 2 (pow z 2)))))) 1))) (taylor -inf x) (#s(alt (fma.f64 y (/.f64 (.f64 #s(literal -2 binary64) z) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z))) x) (patch (fma.f64 y (/.f64 (.f64 #s(literal -2 binary64) z) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (+ (* -1 (* t y)) (* 2 (pow z 2)))))) 1))) (taylor -inf x) (#s(alt (fma.f64 y (/.f64 (.f64 #s(literal -2 binary64) z) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z))) x) (patch (fma.f64 y (/.f64 (.f64 #s(literal -2 binary64) z) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z))) x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) (patch (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -2 (/ z (* t x))) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) (patch (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -2 (/ z (* t x))) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) (patch (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -2 (/ z (* t x))) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) (patch (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 #s(literal -2 binary64) (/.f64 z t)))) (patch (-.f64 x #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 #s(literal -2 binary64) (/.f64 z t)))) (patch (-.f64 x #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 #s(literal -2 binary64) (/.f64 z t)))) (patch (-.f64 x #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 #s(literal -2 binary64) (/.f64 z t)))) (patch (-.f64 x #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 t y))))) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 t y))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 t y))))) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 t y))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 t y))))) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 t y))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 t y))))) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 t y))))) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	t	@	inf	((/ (* -2 z) (+ (* (neg t) y) (* (* z 2) z))) (+ (* y (/ (* -2 z) (+ (* (neg t) y) (* (* z 2) z)))) x) (* -2 z) (+ (* (neg t) y) (* (* z 2) z)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ y z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (/ 2 t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* -2 (/ z t)) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (* 2 y) (/ z (+ (* (* -2 z) z) (* t y))) (neg t) (+ (* (* -2 z) z) (* t y)))
5.0ms	t	@	-inf	((/ (* -2 z) (+ (* (neg t) y) (* (* z 2) z))) (+ (* y (/ (* -2 z) (+ (* (neg t) y) (* (* z 2) z)))) x) (* -2 z) (+ (* (neg t) y) (* (* z 2) z)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ y z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (/ 2 t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* -2 (/ z t)) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (* 2 y) (/ z (+ (* (* -2 z) z) (* t y))) (neg t) (+ (* (* -2 z) z) (* t y)))
4.0ms	x	@	inf	((/ (* -2 z) (+ (* (neg t) y) (* (* z 2) z))) (+ (* y (/ (* -2 z) (+ (* (neg t) y) (* (* z 2) z)))) x) (* -2 z) (+ (* (neg t) y) (* (* z 2) z)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ y z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (/ 2 t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* -2 (/ z t)) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (* 2 y) (/ z (+ (* (* -2 z) z) (* t y))) (neg t) (+ (* (* -2 z) z) (* t y)))
3.0ms	z	@	-inf	((/ (* -2 z) (+ (* (neg t) y) (* (* z 2) z))) (+ (* y (/ (* -2 z) (+ (* (neg t) y) (* (* z 2) z)))) x) (* -2 z) (+ (* (neg t) y) (* (* z 2) z)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ y z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (/ 2 t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* -2 (/ z t)) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (* 2 y) (/ z (+ (* (* -2 z) z) (* t y))) (neg t) (+ (* (* -2 z) z) (* t y)))
3.0ms	z	@	inf	((/ (* -2 z) (+ (* (neg t) y) (* (* z 2) z))) (+ (* y (/ (* -2 z) (+ (* (neg t) y) (* (* z 2) z)))) x) (* -2 z) (+ (* (neg t) y) (* (* z 2) z)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ y z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (/ 2 t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* -2 (/ z t)) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (* 2 y) (/ z (+ (* (* -2 z) z) (* t y))) (neg t) (+ (* (* -2 z) z) (* t y)))

simplify189.0ms (2.6%)

Memory

-5.6MiB live, 205.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	753	9715
1	2358	9577
2	7217	9566
0	8033	9029

Stop Event

1×	iter limit
1×	node limit

Counts

648 → 603

Calls

Call 1

Inputs
(/ -1 z)
(- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))
(- (* t (+ (* -1/2 (/ y (pow z 3))) (* -1/4 (/ (* t (pow y 2)) (pow z 5))))) (/ 1 z))
(- (* t (+ (* -1/2 (/ y (pow z 3))) (* t (+ (* -1/4 (/ (pow y 2) (pow z 5))) (* -1/8 (/ (* t (pow y 3)) (pow z 7))))))) (/ 1 z))
(+ x (* -1 (/ y z)))
(+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3)))))
(+ x (+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* -1/4 (/ (* t (pow y 3)) (pow z 5)))))))
(+ x (+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* -1/4 (/ (pow y 3) (pow z 5))) (* -1/8 (/ (* t (pow y 4)) (pow z 7)))))))))
(* 2 (pow z 2))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(- x (/ y z))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(/ y z)
(+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z))
(+ (* t (+ (* 1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3))))) (/ y z))
(+ (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* 1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))))) (/ y z))
(- x (/ y z))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(* 2 (/ z t))
(/ (+ (* 2 z) (* t x)) t)
(/ (+ (* 2 z) (* t x)) t)
(/ (+ (* 2 z) (* t x)) t)
(/ 2 t)
(/ 2 t)
(/ 2 t)
(/ 2 t)
(- x (/ y z))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(/ y z)
(+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z))
(+ (* t (+ (* 1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3))))) (/ y z))
(+ (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* 1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))))) (/ y z))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(- x (/ y z))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(* -1 (/ y z))
(+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3))))
(+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* -1/4 (/ (* t (pow y 3)) (pow z 5))))))
(+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* -1/4 (/ (pow y 3) (pow z 5))) (* -1/8 (/ (* t (pow y 4)) (pow z 7))))))))
(/ -1/2 z)
(- (* -1/4 (/ (* t y) (pow z 3))) (* 1/2 (/ 1 z)))
(- (* t (- (* -1/8 (/ (* t (pow y 2)) (pow z 5))) (* 1/4 (/ y (pow z 3))))) (* 1/2 (/ 1 z)))
(- (* t (- (* t (- (* -1/16 (/ (* t (pow y 3)) (pow z 7))) (* 1/8 (/ (pow y 2) (pow z 5))))) (* 1/4 (/ y (pow z 3))))) (* 1/2 (/ 1 z)))
(* -1 t)
(* -1 t)
(* -1 t)
(* -1 t)
(* -2 (pow z 2))
(+ (* -2 (pow z 2)) (* t y))
(+ (* -2 (pow z 2)) (* t y))
(+ (* -2 (pow z 2)) (* t y))
(* 2 (/ z (* t y)))
(/ (+ (* 2 (/ z y)) (* 4 (/ (pow z 3) (* t (pow y 2))))) t)
(/ (+ (* 2 (/ z y)) (+ (* 4 (/ (pow z 3) (* t (pow y 2)))) (* 8 (/ (pow z 5) (* (pow t 2) (pow y 3)))))) t)
(/ (+ (* 2 (/ z y)) (+ (* 4 (/ (pow z 3) (* t (pow y 2)))) (+ (* 8 (/ (pow z 5) (* (pow t 2) (pow y 3)))) (* 16 (/ (pow z 7) (* (pow t 3) (pow y 4))))))) t)
x
(+ x (* 2 (/ z t)))
(+ x (+ (* 2 (/ z t)) (* 4 (/ (pow z 3) (* (pow t 2) y)))))
(+ x (+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2)))))))
(* -1 (* t y))
(* t (+ (* -1 y) (* 2 (/ (pow z 2) t))))
(* t (+ (* -1 y) (* 2 (/ (pow z 2) t))))
(* t (+ (* -1 y) (* 2 (/ (pow z 2) t))))
x
(+ x (* 2 (/ z t)))
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
(* -2 (/ z t))
(/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t)
(/ (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z))) t)
(/ (+ (* -16 (/ (pow z 7) (* (pow t 3) (pow y 3)))) (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)))) t)
x
(+ x (* 2 (/ z t)))
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
x
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
(/ 2 t)
(/ 2 t)
(/ 2 t)
(/ 2 t)
x
(+ x (* 2 (/ z t)))
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
(* -2 (/ z t))
(/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t)
(/ (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z))) t)
(/ (+ (* -16 (/ (pow z 7) (* (pow t 3) (pow y 3)))) (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)))) t)
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(/ z t)
(/ z t)
(/ z t)
(/ z t)
x
(+ x (* 2 (/ z t)))
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
(* 2 (/ z t))
(/ (+ (* 2 z) (* 4 (/ (pow z 3) (* t y)))) t)
(/ (+ (* 2 z) (+ (* 4 (/ (pow z 3) (* t y))) (* 8 (/ (pow z 5) (* (pow t 2) (pow y 2)))))) t)
(/ (+ (* 2 z) (+ (* 4 (/ (pow z 3) (* t y))) (+ (* 8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (* 16 (/ (pow z 7) (* (pow t 3) (pow y 3))))))) t)
(/ z (* t y))
(/ (+ (* 2 (/ (pow z 3) (* t (pow y 2)))) (/ z y)) t)
(/ (- (+ (* 4 (/ (pow z 5) (* (pow t 2) (pow y 3)))) (/ z y)) (* -2 (/ (pow z 3) (* t (pow y 2))))) t)
(/ (- (+ (* 8 (/ (pow z 7) (* (pow t 3) (pow y 4)))) (/ z y)) (+ (* -4 (/ (pow z 5) (* (pow t 2) (pow y 3)))) (* -2 (/ (pow z 3) (* t (pow y 2)))))) t)
(* -1 t)
(* -1 t)
(* -1 t)
(* -1 t)
(* t y)
(* t (+ y (* -2 (/ (pow z 2) t))))
(* t (+ y (* -2 (/ (pow z 2) t))))
(* t (+ y (* -2 (/ (pow z 2) t))))
(* 2 (/ z (* t y)))
(* -1 (/ (+ (* -4 (/ (pow z 3) (* t (pow y 2)))) (* -2 (/ z y))) t))
(* -1 (/ (+ (* -2 (/ z y)) (* -1 (/ (+ (* 4 (/ (pow z 3) (pow y 2))) (* 8 (/ (pow z 5) (* t (pow y 3))))) t))) t))
(* -1 (/ (+ (* -2 (/ z y)) (* -1 (/ (+ (* -1 (/ (+ (* -16 (/ (pow z 7) (* t (pow y 4)))) (* -8 (/ (pow z 5) (pow y 3)))) t)) (* 4 (/ (pow z 3) (pow y 2)))) t))) t))
x
(+ x (* 2 (/ z t)))
(+ x (* -1 (/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t)))
(+ x (* -1 (/ (+ (* -2 z) (* -1 (/ (+ (* 4 (/ (pow z 3) y)) (* 8 (/ (pow z 5) (* t (pow y 2))))) t))) t)))
(* -1 (* t y))
(* -1 (* t (+ y (* -2 (/ (pow z 2) t)))))
(* -1 (* t (+ y (* -2 (/ (pow z 2) t)))))
(* -1 (* t (+ y (* -2 (/ (pow z 2) t)))))
x
(+ x (* 2 (/ z t)))
(+ x (* -1 (/ (- (* -4 (/ (pow z 3) (* t y))) (* 2 z)) t)))
(+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t)))
(* -2 (/ z t))
(* -1 (/ (+ (* 2 z) (* 4 (/ (pow z 3) (* t y)))) t))
(* -1 (/ (+ (* -1 (/ (+ (* -8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t))
(* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (pow z 3) y)) (* -1 (/ (+ (* 8 (/ (pow z 5) (pow y 2))) (* 16 (/ (pow z 7) (* t (pow y 3))))) t))) t)) (* 2 z)) t))
x
(+ x (* 2 (/ z t)))
(+ x (* -1 (/ (- (* -4 (/ (pow z 3) (* t y))) (* 2 z)) t)))
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x
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
(/ 2 t)
(/ 2 t)
(/ 2 t)
(/ 2 t)
x
(+ x (* 2 (/ z t)))
(+ x (* -1 (/ (- (* -4 (/ (pow z 3) (* t y))) (* 2 z)) t)))
(+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t)))
(* -2 (/ z t))
(* -1 (/ (+ (* 2 z) (* 4 (/ (pow z 3) (* t y)))) t))
(* -1 (/ (+ (* -1 (/ (+ (* -8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t))
(* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (pow z 3) y)) (* -1 (/ (+ (* 8 (/ (pow z 5) (pow y 2))) (* 16 (/ (pow z 7) (* t (pow y 3))))) t))) t)) (* 2 z)) t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(/ z t)
(/ z t)
(/ z t)
(/ z t)
x
(+ x (* 2 (/ z t)))
(+ x (* -1 (/ (- (* -4 (/ (pow z 3) (* t y))) (* 2 z)) t)))
(+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t)))
(* 2 (/ z t))
(* -1 (/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t))
(* -1 (/ (+ (* -2 z) (* -1 (/ (+ (* 4 (/ (pow z 3) y)) (* 8 (/ (pow z 5) (* t (pow y 2))))) t))) t))
(* -1 (/ (+ (* -2 z) (* -1 (/ (+ (* -1 (/ (+ (* -16 (/ (pow z 7) (* t (pow y 3)))) (* -8 (/ (pow z 5) (pow y 2)))) t)) (* 4 (/ (pow z 3) y))) t))) t))
(/ z (* t y))
(* -1 (/ (+ (* -2 (/ (pow z 3) (* t (pow y 2)))) (* -1 (/ z y))) t))
(* -1 (/ (+ (* -1 (/ z y)) (* -1 (/ (- (* 4 (/ (pow z 5) (* t (pow y 3)))) (* -2 (/ (pow z 3) (pow y 2)))) t))) t))
(* -1 (/ (+ (* -1 (/ z y)) (* -1 (/ (- (* -1 (/ (- (* -8 (/ (pow z 7) (* t (pow y 4)))) (* 4 (/ (pow z 5) (pow y 3)))) t)) (* -2 (/ (pow z 3) (pow y 2)))) t))) t))
(* -1 t)
(* -1 t)
(* -1 t)
(* -1 t)
(* t y)
(* -1 (* t (+ (* -1 y) (* 2 (/ (pow z 2) t)))))
(* -1 (* t (+ (* -1 y) (* 2 (/ (pow z 2) t)))))
(* -1 (* t (+ (* -1 y) (* 2 (/ (pow z 2) t)))))
(* 2 (/ z (* t y)))
(* z (+ (* 4 (/ (pow z 2) (* (pow t 2) (pow y 2)))) (* 2 (/ 1 (* t y)))))
(* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 3)))) (* 4 (/ 1 (* (pow t 2) (pow y 2)))))) (* 2 (/ 1 (* t y)))))
(* z (+ (* (pow z 2) (+ (* (pow z 2) (+ (* 16 (/ (pow z 2) (* (pow t 4) (pow y 4)))) (* 8 (/ 1 (* (pow t 3) (pow y 3)))))) (* 4 (/ 1 (* (pow t 2) (pow y 2)))))) (* 2 (/ 1 (* t y)))))
x
(+ x (* 2 (/ z t)))
(+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t)))))
(+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))))
(* -2 z)
(* -2 z)
(* -2 z)
(* -2 z)
(* -1 (* t y))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
x
(+ x (* 2 (/ z t)))
(+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t)))))
(+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))))
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(* z (- (* -4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t))))
(* z (- (* (pow z 2) (- (* -8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))
(* z (- (* (pow z 2) (- (* (pow z 2) (- (* -16 (/ (pow z 2) (* (pow t 4) (pow y 3)))) (* 8 (/ 1 (* (pow t 3) (pow y 2)))))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
x
(+ x (* 2 (/ z t)))
(+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t)))))
(+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))))
x
(+ x (* 2 (/ z t)))
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x
(+ x (* 2 (/ z t)))
(+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t)))))
(+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))))
(* -2 (/ z t))
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(* z (- (* (pow z 2) (- (* (pow z 2) (- (* -16 (/ (pow z 2) (* (pow t 4) (pow y 3)))) (* 8 (/ 1 (* (pow t 3) (pow y 2)))))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))
(* -2 (/ z t))
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(/ z t)
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x
(+ x (* 2 (/ z t)))
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(+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))))
(* 2 (/ z t))
(* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t))))
(* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))
(* z (+ (* (pow z 2) (+ (* (pow z 2) (+ (* 16 (/ (pow z 2) (* (pow t 4) (pow y 3)))) (* 8 (/ 1 (* (pow t 3) (pow y 2)))))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))
(/ z (* t y))
(* z (+ (* 2 (/ (pow z 2) (* (pow t 2) (pow y 2)))) (/ 1 (* t y))))
(* z (+ (* (pow z 2) (+ (* 4 (/ (pow z 2) (* (pow t 3) (pow y 3)))) (* 2 (/ 1 (* (pow t 2) (pow y 2)))))) (/ 1 (* t y))))
(* z (+ (* (pow z 2) (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 4) (pow y 4)))) (* 4 (/ 1 (* (pow t 3) (pow y 3)))))) (* 2 (/ 1 (* (pow t 2) (pow y 2)))))) (/ 1 (* t y))))
(* t y)
(+ (* -2 (pow z 2)) (* t y))
(+ (* -2 (pow z 2)) (* t y))
(+ (* -2 (pow z 2)) (* t y))
(/ -1 z)
(/ (- (* -1/2 (/ (* t y) (pow z 2))) 1) z)
(/ (- (* -1/4 (/ (* (pow t 2) (pow y 2)) (pow z 4))) (+ 1 (* 1/2 (/ (* t y) (pow z 2))))) z)
(/ (- (* -1/8 (/ (* (pow t 3) (pow y 3)) (pow z 6))) (+ 1 (+ (* 1/4 (/ (* (pow t 2) (pow y 2)) (pow z 4))) (* 1/2 (/ (* t y) (pow z 2)))))) z)
x
(+ x (* -1 (/ y z)))
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(+ x (+ (* -1 (/ y z)) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 3))) (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5))))))
(* -2 z)
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(* -2 z)
(* -2 z)
(* 2 (pow z 2))
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))
x
(+ x (* -1 (/ y z)))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(- (+ x (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5)))) (+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z)))
(/ y z)
(/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z)
(/ (+ y (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2))))) z)
(/ (+ y (+ (* 1/8 (/ (* (pow t 3) (pow y 4)) (pow z 6))) (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2)))))) z)
(/ y z)
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(/ y z)
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x
(+ x (* -1 (/ y z)))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(- (+ x (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5)))) (+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z)))
(* 2 (/ z t))
(* z (+ (* 2 (/ 1 t)) (/ x z)))
(* z (+ (* 2 (/ 1 t)) (/ x z)))
(* z (+ (* 2 (/ 1 t)) (/ x z)))
x
(+ x (* -1 (/ y z)))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(- (+ x (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5)))) (+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z)))
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x
(* -1 (* x (- (* 2 (/ (* y z) (* x (+ (* -1 (* t y)) (* 2 (pow z 2)))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (+ (* -1 (* t y)) (* 2 (pow z 2)))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (+ (* -1 (* t y)) (* 2 (pow z 2)))))) 1)))
x
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
x
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
x
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
x
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
x
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))

Outputs
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z))
(- (* t (+ (* -1/2 (/ y (pow z 3))) (* -1/4 (/ (* t (pow y 2)) (pow z 5))))) (/ 1 z))
(fma.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) t) (.f64 y (/.f64 y (pow.f64 z #s(literal 5 binary64)))) (*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) t (/.f64 #s(literal -1 binary64) z))
(- (* t (+ (* -1/2 (/ y (pow z 3))) (* t (+ (* -1/4 (/ (pow y 2) (pow z 5))) (* -1/8 (/ (* t (pow y 3)) (pow z 7))))))) (/ 1 z))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) t) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 7 binary64))) (/.f64 (.f64 (.f64 y y) #s(literal -1/4 binary64)) (pow.f64 z #s(literal 5 binary64)))) t (.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) t (/.f64 #s(literal -1 binary64) z))
(+ x (* -1 (/ y z)))
(-.f64 x (/.f64 y z))
(+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3)))))
(fma.f64 (.f64 (.f64 y (/.f64 y (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/2 binary64)) t (-.f64 x (/.f64 y z)))
(+ x (+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* -1/4 (/ (* t (pow y 3)) (pow z 5)))))))
(fma.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 t (pow.f64 z #s(literal 5 binary64)))) #s(literal -1/4 binary64) (.f64 (*.f64 y (/.f64 y (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/2 binary64))) t (-.f64 x (/.f64 y z)))
(+ x (+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* -1/4 (/ (pow y 3) (pow z 5))) (* -1/8 (/ (* t (pow y 4)) (pow z 7)))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) t) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 7 binary64))) (/.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64)) (pow.f64 z #s(literal 5 binary64)))) t (.f64 (.f64 y (/.f64 y (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/2 binary64))) t (-.f64 x (/.f64 y z)))
(* 2 (pow z 2))
(.f64 (.f64 z z) #s(literal 2 binary64))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(fma.f64 (neg.f64 y) t (.f64 (.f64 z z) #s(literal 2 binary64)))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(fma.f64 (neg.f64 y) t (.f64 (.f64 z z) #s(literal 2 binary64)))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(fma.f64 (neg.f64 y) t (.f64 (.f64 z z) #s(literal 2 binary64)))
(- x (/ y z))
(-.f64 x (/.f64 y z))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(fma.f64 (.f64 (.f64 y (/.f64 y (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/2 binary64)) t (-.f64 x (/.f64 y z)))
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(fma.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 t (pow.f64 z #s(literal 5 binary64)))) #s(literal -1/4 binary64) (.f64 (*.f64 y (/.f64 y (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/2 binary64))) t (-.f64 x (/.f64 y z)))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) t) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 7 binary64))) (/.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64)) (pow.f64 z #s(literal 5 binary64)))) t (.f64 (.f64 y (/.f64 y (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/2 binary64))) t (-.f64 x (/.f64 y z)))
(/ y z)
(/.f64 y z)
(+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (/.f64 y (pow.f64 z #s(literal 3 binary64))))) t (/.f64 y z))
(+ (* t (+ (* 1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3))))) (/ y z))
(fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) t) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 y (pow.f64 z #s(literal 3 binary64)))))) t (/.f64 y z))
(+ (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* 1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))))) (/ y z))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) t) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 7 binary64))) (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 z #s(literal 5 binary64)))) t (.f64 #s(literal 1/2 binary64) (.f64 y (/.f64 y (pow.f64 z #s(literal 3 binary64)))))) t (/.f64 y z))
(- x (/ y z))
(-.f64 x (/.f64 y z))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(fma.f64 (.f64 (.f64 y (/.f64 y (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/2 binary64)) t (-.f64 x (/.f64 y z)))
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(fma.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 t (pow.f64 z #s(literal 5 binary64)))) #s(literal -1/4 binary64) (.f64 (*.f64 y (/.f64 y (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/2 binary64))) t (-.f64 x (/.f64 y z)))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) t) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 7 binary64))) (/.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64)) (pow.f64 z #s(literal 5 binary64)))) t (.f64 (.f64 y (/.f64 y (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/2 binary64))) t (-.f64 x (/.f64 y z)))
(* 2 (/ z t))
(*.f64 (/.f64 z t) #s(literal 2 binary64))
(/ (+ (* 2 z) (* t x)) t)
(/.f64 (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) t)
(/ (+ (* 2 z) (* t x)) t)
(/.f64 (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) t)
(/ (+ (* 2 z) (* t x)) t)
(/.f64 (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) t)
(/ 2 t)
(/.f64 #s(literal 2 binary64) t)
(/ 2 t)
(/.f64 #s(literal 2 binary64) t)
(/ 2 t)
(/.f64 #s(literal 2 binary64) t)
(/ 2 t)
(/.f64 #s(literal 2 binary64) t)
(- x (/ y z))
(-.f64 x (/.f64 y z))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(fma.f64 (.f64 (.f64 y (/.f64 y (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/2 binary64)) t (-.f64 x (/.f64 y z)))
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(fma.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 t (pow.f64 z #s(literal 5 binary64)))) #s(literal -1/4 binary64) (.f64 (*.f64 y (/.f64 y (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/2 binary64))) t (-.f64 x (/.f64 y z)))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) t) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 7 binary64))) (/.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64)) (pow.f64 z #s(literal 5 binary64)))) t (.f64 (.f64 y (/.f64 y (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/2 binary64))) t (-.f64 x (/.f64 y z)))
(/ y z)
(/.f64 y z)
(+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 y (/.f64 y (pow.f64 z #s(literal 3 binary64))))) t (/.f64 y z))
(+ (* t (+ (* 1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3))))) (/ y z))
(fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) t) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 y (pow.f64 z #s(literal 3 binary64)))))) t (/.f64 y z))
(+ (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* 1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))))) (/ y z))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) t) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 7 binary64))) (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 z #s(literal 5 binary64)))) t (.f64 #s(literal 1/2 binary64) (.f64 y (/.f64 y (pow.f64 z #s(literal 3 binary64)))))) t (/.f64 y z))
(* -2 (/ z t))
(*.f64 #s(literal -2 binary64) (/.f64 z t))
(* -2 (/ z t))
(*.f64 #s(literal -2 binary64) (/.f64 z t))
(* -2 (/ z t))
(*.f64 #s(literal -2 binary64) (/.f64 z t))
(* -2 (/ z t))
(*.f64 #s(literal -2 binary64) (/.f64 z t))
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(- x (/ y z))
(-.f64 x (/.f64 y z))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(fma.f64 (.f64 (.f64 y (/.f64 y (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/2 binary64)) t (-.f64 x (/.f64 y z)))
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(fma.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 t (pow.f64 z #s(literal 5 binary64)))) #s(literal -1/4 binary64) (.f64 (*.f64 y (/.f64 y (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/2 binary64))) t (-.f64 x (/.f64 y z)))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) t) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 7 binary64))) (/.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64)) (pow.f64 z #s(literal 5 binary64)))) t (.f64 (.f64 y (/.f64 y (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/2 binary64))) t (-.f64 x (/.f64 y z)))
(* -1 (/ y z))
(/.f64 (neg.f64 y) z)
(+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3))))
(fma.f64 (.f64 t #s(literal -1/2 binary64)) (.f64 y (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (/.f64 (neg.f64 y) z))
(+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* -1/4 (/ (* t (pow y 3)) (pow z 5))))))
(fma.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 t (pow.f64 z #s(literal 5 binary64)))) #s(literal -1/4 binary64) (.f64 (*.f64 y (/.f64 y (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/2 binary64))) t (/.f64 (neg.f64 y) z))
(+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* -1/4 (/ (pow y 3) (pow z 5))) (* -1/8 (/ (* t (pow y 4)) (pow z 7))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) t) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 7 binary64))) (/.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64)) (pow.f64 z #s(literal 5 binary64)))) t (.f64 (.f64 y (/.f64 y (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/2 binary64))) t (/.f64 (neg.f64 y) z))
(/ -1/2 z)
(/.f64 #s(literal -1/2 binary64) z)
(- (* -1/4 (/ (* t y) (pow z 3))) (* 1/2 (/ 1 z)))
(fma.f64 (*.f64 #s(literal -1/4 binary64) t) (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) z))
(- (* t (- (* -1/8 (/ (* t (pow y 2)) (pow z 5))) (* 1/4 (/ y (pow z 3))))) (* 1/2 (/ 1 z)))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) t) (.f64 y (/.f64 y (pow.f64 z #s(literal 5 binary64)))) (*.f64 #s(literal -1/4 binary64) (/.f64 y (pow.f64 z #s(literal 3 binary64))))) t (/.f64 #s(literal -1/2 binary64) z))
(- (* t (- (* t (- (* -1/16 (/ (* t (pow y 3)) (pow z 7))) (* 1/8 (/ (pow y 2) (pow z 5))))) (* 1/4 (/ y (pow z 3))))) (* 1/2 (/ 1 z)))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) t) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 7 binary64))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 y y)) (pow.f64 z #s(literal 5 binary64)))) t (.f64 #s(literal -1/4 binary64) (/.f64 y (pow.f64 z #s(literal 3 binary64))))) t (/.f64 #s(literal -1/2 binary64) z))
(* -1 t)
(neg.f64 t)
(* -1 t)
(neg.f64 t)
(* -1 t)
(neg.f64 t)
(* -1 t)
(neg.f64 t)
(* -2 (pow z 2))
(.f64 #s(literal -2 binary64) (.f64 z z))
(+ (* -2 (pow z 2)) (* t y))
(fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 y t))
(+ (* -2 (pow z 2)) (* t y))
(fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 y t))
(+ (* -2 (pow z 2)) (* t y))
(fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 y t))
(* 2 (/ z (* t y)))
(.f64 (/.f64 #s(literal 2 binary64) (.f64 y t)) z)
(/ (+ (* 2 (/ z y)) (* 4 (/ (pow z 3) (* t (pow y 2))))) t)
(/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (.f64 y y)) (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (.f64 (/.f64 z y) #s(literal 2 binary64))) t)
(/ (+ (* 2 (/ z y)) (+ (* 4 (/ (pow z 3) (* t (pow y 2)))) (* 8 (/ (pow z 5) (* (pow t 2) (pow y 3)))))) t)
(/.f64 (fma.f64 (/.f64 z y) #s(literal 2 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) (.f64 y y)) (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (/.f64 (.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 5 binary64))) (.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) t) t)))) t)
(/ (+ (* 2 (/ z y)) (+ (* 4 (/ (pow z 3) (* t (pow y 2)))) (+ (* 8 (/ (pow z 5) (* (pow t 2) (pow y 3)))) (* 16 (/ (pow z 7) (* (pow t 3) (pow y 4))))))) t)
(/.f64 (fma.f64 (/.f64 z y) #s(literal 2 binary64) (fma.f64 (/.f64 #s(literal 16 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) (.f64 y y)) (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (/.f64 (.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 5 binary64))) (.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) t) t))))) t)
x
(+ x (* 2 (/ z t)))
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x)
(+ x (+ (* 2 (/ z t)) (* 4 (/ (pow z 3) (* (pow t 2) y)))))
(fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 t t)) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x))
(+ x (+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2)))))))
(fma.f64 (fma.f64 (.f64 (/.f64 #s(literal 4 binary64) (.f64 (*.f64 t t) y)) z) z (/.f64 #s(literal 2 binary64) t)) z (fma.f64 (/.f64 #s(literal 8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 z #s(literal 5 binary64)) y) y) x))
(* -1 (* t y))
(*.f64 (neg.f64 y) t)
(* t (+ (* -1 y) (* 2 (/ (pow z 2) t))))
(.f64 (fma.f64 (.f64 z (/.f64 z t)) #s(literal 2 binary64) (neg.f64 y)) t)
(* t (+ (* -1 y) (* 2 (/ (pow z 2) t))))
(.f64 (fma.f64 (.f64 z (/.f64 z t)) #s(literal 2 binary64) (neg.f64 y)) t)
(* t (+ (* -1 y) (* 2 (/ (pow z 2) t))))
(.f64 (fma.f64 (.f64 z (/.f64 z t)) #s(literal 2 binary64) (neg.f64 y)) t)
x
(+ x (* 2 (/ z t)))
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x)
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 t t)) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x))
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
(-.f64 (fma.f64 (/.f64 #s(literal 8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 z #s(literal 5 binary64)) y) y) x) (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t))
(* -2 (/ z t))
(*.f64 #s(literal -2 binary64) (/.f64 z t))
(/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t)
(/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t)
(/ (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z))) t)
(/.f64 (fma.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) (/.f64 (/.f64 (pow.f64 z #s(literal 5 binary64)) t) t) (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (.f64 #s(literal -2 binary64) z))) t)
(/ (+ (* -16 (/ (pow z 7) (* (pow t 3) (pow y 3)))) (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)))) t)
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(+ x (* 2 (/ z t)))
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(+ x (* 2 (/ z t)))
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(* x (+ 1 (* -2 (/ (* y z) (* x (+ (* -1 (* t y)) (* 2 (pow z 2))))))))
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(* x (+ 1 (* -2 (/ (* y z) (* x (+ (* -1 (* t y)) (* 2 (pow z 2))))))))
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(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
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(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
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(* x (+ 1 (* 2 (/ z (* t x)))))
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(* x (+ 1 (* 2 (/ z (* t x)))))
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(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
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(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(fma.f64 (.f64 x #s(literal -2 binary64)) (.f64 (/.f64 y (fma.f64 (neg.f64 y) t (.f64 (.f64 z z) #s(literal 2 binary64)))) (/.f64 z x)) x)
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(fma.f64 (.f64 x #s(literal -2 binary64)) (.f64 (/.f64 y (fma.f64 (neg.f64 y) t (.f64 (.f64 z z) #s(literal 2 binary64)))) (/.f64 z x)) x)
x
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
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(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
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(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
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x
(* -1 (* x (- (* 2 (/ (* y z) (* x (+ (* -1 (* t y)) (* 2 (pow z 2)))))) 1)))
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x
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x
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(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
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(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
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x
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
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(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(.f64 (neg.f64 x) (fma.f64 (.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 z (fma.f64 (neg.f64 y) t (.f64 (.f64 z z) #s(literal 2 binary64)))) #s(literal -1 binary64)))
x
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
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(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(.f64 (neg.f64 x) (fma.f64 (.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 z (fma.f64 (neg.f64 y) t (.f64 (.f64 z z) #s(literal 2 binary64)))) #s(literal -1 binary64)))

rewrite170.0ms (2.4%)

Memory

-19.6MiB live, 250.6MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	238
0	60	238
1	245	236
2	1702	236
0	8864	236

Stop Event

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

Counts

20 → 514

Calls

Call 1

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

Outputs
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eval218.0ms (3%)

Memory: 21.1MiB live, 285.8MiB allocated
Compiler: Compiled 26 249 to 2 690 computations (89.8% saved)

prune79.0ms (1.1%)

Memory

-26.7MiB live, 110.8MiB allocated

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	1 127	4	1 131
Fresh	1	0	1
Picked	3	2	5
Done	0	0	0
Total	1 131	6	1 137

Accuracy

100.0%

Counts

1 137 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	63.2%	(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
✓	62.4%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x))
▶	17.1%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/.f64 (.f64 (.f64 #s(literal 2 binary64) z) y) (fma.f64 (.f64 z #s(literal -2 binary64)) z (.f64 y t))))
▶	19.7%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 y t (.f64 (.f64 z #s(literal -2 binary64)) z)))))
▶	12.7%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))))
▶	14.4%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z)))

Compiler

Compiled 56 to 58 computations (-3.6% saved)

simplify123.0ms (1.7%)

Memory

20.0MiB live, 57.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	274
0	60	272
1	109	272
2	176	272
3	316	268
4	524	268
5	832	268
6	1791	268
7	2669	268
8	2972	268
9	3073	268
10	3113	268
11	3124	268
12	3141	268
13	3157	268
14	3180	268
15	3180	268
16	3220	268
17	3509	268
0	3509	262

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize132.0ms (1.8%)

Memory

-15.6MiB live, 137.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 #s(literal 2 binary64) z)
accuracy	0.2617159976055602	(fma.f64 (.f64 z #s(literal -2 binary64)) z (.f64 y t))
accuracy	19.335439248104553	(/.f64 (.f64 (.f64 #s(literal 2 binary64) z) y) (fma.f64 (.f64 z #s(literal -2 binary64)) z (.f64 y t)))
accuracy	48.51152365228842	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/.f64 (.f64 (.f64 #s(literal 2 binary64) z) y) (fma.f64 (.f64 z #s(literal -2 binary64)) z (.f64 y t))))
accuracy	0.49999449521112044	(fma.f64 y t (.f64 (.f64 z #s(literal -2 binary64)) z))
accuracy	5.881582927617624	(.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 y t (.f64 (.f64 z #s(literal -2 binary64)) z))))
accuracy	14.907774731239336	(/.f64 z (fma.f64 y t (.f64 (.f64 z #s(literal -2 binary64)) z)))
accuracy	48.51152365228842	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 y t (.f64 (.f64 z #s(literal -2 binary64)) z)))))
accuracy	0	(/.f64 z t)
accuracy	0	(*.f64 (/.f64 z t) #s(literal 2 binary64))
accuracy	24.007481369965173	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))))
accuracy	32.21182952847006	#s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))
accuracy	0	(/.f64 (neg.f64 y) z)
accuracy	0	(neg.f64 y)
accuracy	30.878595027324554	#s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z))
accuracy	48.51152365228842	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z)))

Samples

88.0ms

256×

valid

Compiler

Compiled 205 to 39 computations (81% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-mult: 33.0ms (56% of total)

ival-div: 18.0ms (30.5% of total)

ival-add: 4.0ms (6.8% of total)

ival-sub: 2.0ms (3.4% of total)

ival-neg: 1.0ms (1.7% of total)

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

exact: 0.0ms (0% of total)

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

series42.0ms (0.6%)

Memory

33.0MiB live, 76.9MiB allocated

Counts

18 → 576

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	z	@	-inf	((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/ (neg y) z) (neg y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ z t) 2) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* y t) (* (* z -2) z)))) (* 2 y) (/ z (+ (* y t) (* (* z -2) z))) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* 2 z) y) (+ (* (* z -2) z) (* y t))) (* (* 2 z) y) (* 2 z) (+ (* y t) (* (* z -2) z)) (+ (* (* z -2) z) (* y t)))
2.0ms	z	@	inf	((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/ (neg y) z) (neg y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ z t) 2) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* y t) (* (* z -2) z)))) (* 2 y) (/ z (+ (* y t) (* (* z -2) z))) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* 2 z) y) (+ (* (* z -2) z) (* y t))) (* (* 2 z) y) (* 2 z) (+ (* y t) (* (* z -2) z)) (+ (* (* z -2) z) (* y t)))
2.0ms	y	@	-inf	((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/ (neg y) z) (neg y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ z t) 2) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* y t) (* (* z -2) z)))) (* 2 y) (/ z (+ (* y t) (* (* z -2) z))) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* 2 z) y) (+ (* (* z -2) z) (* y t))) (* (* 2 z) y) (* 2 z) (+ (* y t) (* (* z -2) z)) (+ (* (* z -2) z) (* y t)))
1.0ms	z	@	0	((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/ (neg y) z) (neg y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ z t) 2) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* y t) (* (* z -2) z)))) (* 2 y) (/ z (+ (* y t) (* (* z -2) z))) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* 2 z) y) (+ (* (* z -2) z) (* y t))) (* (* 2 z) y) (* 2 z) (+ (* y t) (* (* z -2) z)) (+ (* (* z -2) z) (* y t)))
1.0ms	y	@	inf	((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/ (neg y) z) (neg y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ z t) 2) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* y t) (* (* z -2) z)))) (* 2 y) (/ z (+ (* y t) (* (* z -2) z))) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* 2 z) y) (+ (* (* z -2) z) (* y t))) (* (* 2 z) y) (* 2 z) (+ (* y t) (* (* z -2) z)) (+ (* (* z -2) z) (* y t)))

simplify167.0ms (2.3%)

Memory

-0.2MiB live, 266.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	530	8066
1	1626	7967
2	4947	7874
0	8483	7377

Stop Event

1×	iter limit
1×	node limit

Counts

576 → 539

Calls

Call 1

Inputs
(- x (/ y z))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(* -1 (/ y z))
(+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3))))
(+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* -1/4 (/ (* t (pow y 3)) (pow z 5))))))
(+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* -1/4 (/ (pow y 3) (pow z 5))) (* -1/8 (/ (* t (pow y 4)) (pow z 7))))))))
(- x (/ y z))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(* 2 (/ z t))
(/ (+ (* 2 z) (* t x)) t)
(/ (+ (* 2 z) (* t x)) t)
(/ (+ (* 2 z) (* t x)) t)
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(- x (/ y z))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(* -1 (/ y z))
(+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3))))
(+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* -1/4 (/ (* t (pow y 3)) (pow z 5))))))
(+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* -1/4 (/ (pow y 3) (pow z 5))) (* -1/8 (/ (* t (pow y 4)) (pow z 7))))))))
(/ -1/2 z)
(- (* -1/4 (/ (* t y) (pow z 3))) (* 1/2 (/ 1 z)))
(- (* t (- (* -1/8 (/ (* t (pow y 2)) (pow z 5))) (* 1/4 (/ y (pow z 3))))) (* 1/2 (/ 1 z)))
(- (* t (- (* t (- (* -1/16 (/ (* t (pow y 3)) (pow z 7))) (* 1/8 (/ (pow y 2) (pow z 5))))) (* 1/4 (/ y (pow z 3))))) (* 1/2 (/ 1 z)))
(- x (/ y z))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(* -1 (/ y z))
(+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3))))
(+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* -1/4 (/ (* t (pow y 3)) (pow z 5))))))
(+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* -1/4 (/ (pow y 3) (pow z 5))) (* -1/8 (/ (* t (pow y 4)) (pow z 7))))))))
(* -2 (pow z 2))
(+ (* -2 (pow z 2)) (* t y))
(+ (* -2 (pow z 2)) (* t y))
(+ (* -2 (pow z 2)) (* t y))
(* -2 (pow z 2))
(+ (* -2 (pow z 2)) (* t y))
(+ (* -2 (pow z 2)) (* t y))
(+ (* -2 (pow z 2)) (* t y))
x
(+ x (* 2 (/ z t)))
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
(* 2 (/ z t))
(/ (+ (* 2 z) (* 4 (/ (pow z 3) (* t y)))) t)
(/ (+ (* 2 z) (+ (* 4 (/ (pow z 3) (* t y))) (* 8 (/ (pow z 5) (* (pow t 2) (pow y 2)))))) t)
(/ (+ (* 2 z) (+ (* 4 (/ (pow z 3) (* t y))) (+ (* 8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (* 16 (/ (pow z 7) (* (pow t 3) (pow y 3))))))) t)
x
(+ x (* 2 (/ z t)))
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(/ (+ (* 2 (/ (pow z 3) (* (pow t 2) y))) (/ z t)) y)
(/ (- (+ (* 4 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (/ z t)) (* -2 (/ (pow z 3) (* (pow t 2) y)))) y)
(/ (- (+ (* 8 (/ (pow z 7) (* (pow t 4) (pow y 3)))) (/ z t)) (+ (* -4 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (* -2 (/ (pow z 3) (* (pow t 2) y))))) y)
(- x (* -2 (/ z t)))
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
(- (+ x (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))))
(* 2 (/ z t))
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(+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))))
(+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (+ (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3)))))))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* t y)
(* y (+ t (* -2 (/ (pow z 2) y))))
(* y (+ t (* -2 (/ (pow z 2) y))))
(* y (+ t (* -2 (/ (pow z 2) y))))
(* t y)
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(* y (+ t (* -2 (/ (pow z 2) y))))
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(- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))
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(+ (* -1 (/ (+ (* -4 (/ (pow z 3) (pow t 2))) (* -1 (/ (+ (* 8 (/ (pow z 5) (pow t 3))) (* 16 (/ (pow z 7) (* (pow t 4) y)))) y))) y)) (* 2 (/ z t)))
(* -1 (/ y z))
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(* -1 (/ y z))
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(- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))
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(- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))
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(+ (* -1 (/ (+ (* -8 (/ (pow z 5) (* (pow t 3) y))) (* -4 (/ (pow z 3) (pow t 2)))) y)) (* 2 (/ z t)))
(+ (* -1 (/ (+ (* -4 (/ (pow z 3) (pow t 2))) (* -1 (/ (+ (* 8 (/ (pow z 5) (pow t 3))) (* 16 (/ (pow z 7) (* (pow t 4) y)))) y))) y)) (* 2 (/ z t)))
(* 2 y)
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(* -1 (/ (+ (* -1 (/ z t)) (* -1 (/ (- (* -1 (/ (- (* -8 (/ (pow z 7) (* (pow t 4) y))) (* 4 (/ (pow z 5) (pow t 3)))) y)) (* -2 (/ (pow z 3) (pow t 2)))) y))) y))
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(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))
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(* t y)
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(* -1 (* y (+ (* -1 t) (* 2 (/ (pow z 2) y)))))
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x
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x
(* x (+ 1 (* 2 (/ z (* t x)))))
(* x (+ 1 (* 2 (/ z (* t x)))))
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x
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
x
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
x
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
x
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
x
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
x
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
x
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
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Outputs
(- x (/ y z))
(-.f64 x (/.f64 y z))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(fma.f64 (.f64 t #s(literal -1/2 binary64)) (.f64 y (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (-.f64 x (/.f64 y z)))
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(* 2 (/ z t))
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(/ z t)
(/.f64 z t)
(/ z t)
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(/ z t)
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(/ z t)
(/.f64 z t)
(- x (/ y z))
(-.f64 x (/.f64 y z))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(fma.f64 (.f64 t #s(literal -1/2 binary64)) (.f64 y (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (-.f64 x (/.f64 y z)))
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
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(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
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(+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* -1/4 (/ (pow y 3) (pow z 5))) (* -1/8 (/ (* t (pow y 4)) (pow z 7))))))))
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(/ -1/2 z)
(/.f64 #s(literal -1/2 binary64) z)
(- (* -1/4 (/ (* t y) (pow z 3))) (* 1/2 (/ 1 z)))
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(- (* t (- (* -1/8 (/ (* t (pow y 2)) (pow z 5))) (* 1/4 (/ y (pow z 3))))) (* 1/2 (/ 1 z)))
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(- (* t (- (* t (- (* -1/16 (/ (* t (pow y 3)) (pow z 7))) (* 1/8 (/ (pow y 2) (pow z 5))))) (* 1/4 (/ y (pow z 3))))) (* 1/2 (/ 1 z)))
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(- x (/ y z))
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(* -1 (/ y z))
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(* -2 (pow z 2))
(.f64 (.f64 z z) #s(literal -2 binary64))
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(+ (* -2 (pow z 2)) (* t y))
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(* -2 (pow z 2))
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(fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 t y))
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x
(+ x (* 2 (/ z t)))
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x)
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(+ x (* 2 (/ z t)))
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(fma.f64 (/.f64 (.f64 z y) (fma.f64 (.f64 #s(literal -2 binary64) z) z (*.f64 t y))) #s(literal 2 binary64) x)
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rewrite185.0ms (2.6%)

Memory

2.0MiB live, 282.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	245
0	60	243
1	231	243
2	1365	243
0	8722	237

Stop Event

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

Counts

18 → 405

Calls

Call 1

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

Outputs
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eval110.0ms (1.5%)

Memory: 9.0MiB live, 199.3MiB allocated
Compiler: Compiled 18 919 to 1 754 computations (90.7% saved)

prune46.0ms (0.6%)

Memory

-21.4MiB live, 100.1MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	942	2	944
Fresh	0	0	0
Picked	0	4	4
Done	0	2	2
Total	942	8	950

Accuracy

100.0%

Counts

950 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	63.2%	(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
✓	62.4%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x))
✓	17.1%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/.f64 (.f64 (.f64 #s(literal 2 binary64) z) y) (fma.f64 (.f64 z #s(literal -2 binary64)) z (.f64 y t))))
✓	19.7%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 y t (.f64 (.f64 z #s(literal -2 binary64)) z)))))
✓	12.7%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))))
▶	12.6%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)))
✓	14.4%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z)))
▶	14.3%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (*.f64 y (/.f64 #s(literal -1 binary64) z))))

Compiler

Compiled 70 to 76 computations (-8.6% saved)

simplify116.0ms (1.6%)

Memory

17.3MiB live, 55.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 2 binary64) t)
cost-diff	0	(*.f64 (/.f64 #s(literal 2 binary64) t) z)
cost-diff	0	#s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))
cost-diff	0	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)))
cost-diff	0	(/.f64 #s(literal -1 binary64) z)
cost-diff	0	#s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (*.f64 y (/.f64 #s(literal -1 binary64) z)))
cost-diff	0	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (*.f64 y (/.f64 #s(literal -1 binary64) z))))
cost-diff	192	(*.f64 y (/.f64 #s(literal -1 binary64) z))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	126
0	37	126
1	72	123
2	128	123
3	259	123
4	469	123
5	768	123
6	1693	123
7	2583	123
8	2903	123
9	3003	123
10	3044	123
11	3055	123
12	3072	123
13	3088	123
14	3107	123
15	3107	123
16	3147	123
17	3413	123
0	3413	115

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize79.0ms (1.1%)

Memory

7.0MiB live, 99.2MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal 2 binary64) t)
accuracy	0.26953125	(*.f64 (/.f64 #s(literal 2 binary64) t) z)
accuracy	24.007481369965173	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)))
accuracy	32.21182952847006	#s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))
accuracy	0	(/.f64 #s(literal -1 binary64) z)
accuracy	0.2109375	(*.f64 y (/.f64 #s(literal -1 binary64) z))
accuracy	30.878595027324554	#s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (*.f64 y (/.f64 #s(literal -1 binary64) z)))
accuracy	48.51152365228842	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (*.f64 y (/.f64 #s(literal -1 binary64) z))))

Samples

66.0ms

256×

valid

Compiler

Compiled 80 to 29 computations (63.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-mult: 38.0ms (77.3% of total)

ival-div: 6.0ms (12.2% of total)

ival-sub: 2.0ms (4.1% of total)

ival-add: 2.0ms (4.1% of total)

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

exact: 0.0ms (0% of total)

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

series20.0ms (0.3%)

Memory

-8.7MiB live, 29.9MiB allocated

Counts

8 → 240

Calls

Call 1

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

Outputs
#s(alt (- x (/ y z)) (taylor 0 t) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (.f64 y (/.f64 #s(literal -1 binary64) z)))) (patch #s(approx (- x (/ ( (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (*.f64 y (/.f64 #s(literal -1 binary64) z)))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) (taylor 0 t) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (.f64 y (/.f64 #s(literal -1 binary64) z)))) (patch #s(approx (- x (/ ( (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (*.f64 y (/.f64 #s(literal -1 binary64) z)))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) (taylor 0 t) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (.f64 y (/.f64 #s(literal -1 binary64) z)))) (patch #s(approx (- x (/ ( (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (*.f64 y (/.f64 #s(literal -1 binary64) z)))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) (taylor 0 t) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (.f64 y (/.f64 #s(literal -1 binary64) z)))) (patch #s(approx (- x (/ ( (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (*.f64 y (/.f64 #s(literal -1 binary64) z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y z)) (taylor 0 t) (#s(alt #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (.f64 y (/.f64 #s(literal -1 binary64) z))) (patch #s(approx ( (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (*.f64 y (/.f64 #s(literal -1 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (taylor 0 t) (#s(alt #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (.f64 y (/.f64 #s(literal -1 binary64) z))) (patch #s(approx ( (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (*.f64 y (/.f64 #s(literal -1 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* -1/4 (/ (* t (pow y 3)) (pow z 5)))))) (taylor 0 t) (#s(alt #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (.f64 y (/.f64 #s(literal -1 binary64) z))) (patch #s(approx ( (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (*.f64 y (/.f64 #s(literal -1 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* -1/4 (/ (pow y 3) (pow z 5))) (* -1/8 (/ (* t (pow y 4)) (pow z 7)))))))) (taylor 0 t) (#s(alt #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (.f64 y (/.f64 #s(literal -1 binary64) z))) (patch #s(approx ( (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (*.f64 y (/.f64 #s(literal -1 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (- x (/ y z)) (taylor 0 t) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (.f64 (/.f64 #s(literal 2 binary64) t) z))) (patch #s(approx (- x (/ ( (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) (taylor 0 t) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (.f64 (/.f64 #s(literal 2 binary64) t) z))) (patch #s(approx (- x (/ ( (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) (taylor 0 t) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (.f64 (/.f64 #s(literal 2 binary64) t) z))) (patch #s(approx (- x (/ ( (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) (taylor 0 t) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (.f64 (/.f64 #s(literal 2 binary64) t) z))) (patch #s(approx (- x (/ ( (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ z t)) (taylor 0 t) (#s(alt #s(approx (+ (* (/ 2 t) z) x) (.f64 (/.f64 #s(literal 2 binary64) t) z)) (patch #s(approx (+ ( (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 2 z) (* t x)) t) (taylor 0 t) (#s(alt #s(approx (+ (* (/ 2 t) z) x) (.f64 (/.f64 #s(literal 2 binary64) t) z)) (patch #s(approx (+ ( (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 2 z) (* t x)) t) (taylor 0 t) (#s(alt #s(approx (+ (* (/ 2 t) z) x) (.f64 (/.f64 #s(literal 2 binary64) t) z)) (patch #s(approx (+ ( (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 2 z) (* t x)) t) (taylor 0 t) (#s(alt #s(approx (+ (* (/ 2 t) z) x) (.f64 (/.f64 #s(literal 2 binary64) t) z)) (patch #s(approx (+ ( (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ z t)) (taylor 0 t) (#s(alt (.f64 (/.f64 #s(literal 2 binary64) t) z) (patch (.f64 (/.f64 #s(literal 2 binary64) t) z) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ z t)) (taylor 0 t) (#s(alt (.f64 (/.f64 #s(literal 2 binary64) t) z) (patch (.f64 (/.f64 #s(literal 2 binary64) t) z) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ z t)) (taylor 0 t) (#s(alt (.f64 (/.f64 #s(literal 2 binary64) t) z) (patch (.f64 (/.f64 #s(literal 2 binary64) t) z) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ z t)) (taylor 0 t) (#s(alt (.f64 (/.f64 #s(literal 2 binary64) t) z) (patch (.f64 (/.f64 #s(literal 2 binary64) t) z) #<representation binary64>) () ())) ())
#s(alt (/ 2 t) (taylor 0 t) (#s(alt (/.f64 #s(literal 2 binary64) t) (patch (/.f64 #s(literal 2 binary64) t) #<representation binary64>) () ())) ())
#s(alt (/ 2 t) (taylor 0 t) (#s(alt (/.f64 #s(literal 2 binary64) t) (patch (/.f64 #s(literal 2 binary64) t) #<representation binary64>) () ())) ())
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#s(alt (* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) (taylor 0 x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (.f64 (/.f64 #s(literal 2 binary64) t) z))) (patch #s(approx (- x (/ ( (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))) #<representation binary64>) () ())) ())
#s(alt (- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) (taylor 0 x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (.f64 (/.f64 #s(literal 2 binary64) t) z))) (patch #s(approx (- x (/ ( (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))) #<representation binary64>) () ())) ())
#s(alt (- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) (taylor 0 x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (.f64 (/.f64 #s(literal 2 binary64) t) z))) (patch #s(approx (- x (/ ( (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))) #<representation binary64>) () ())) ())
#s(alt (- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) (taylor 0 x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (.f64 (/.f64 #s(literal 2 binary64) t) z))) (patch #s(approx (- x (/ ( (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ z t)) (taylor 0 x) (#s(alt #s(approx (+ (* (/ 2 t) z) x) (.f64 (/.f64 #s(literal 2 binary64) t) z)) (patch #s(approx (+ ( (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* 2 (/ z t))) (taylor 0 x) (#s(alt #s(approx (+ (* (/ 2 t) z) x) (.f64 (/.f64 #s(literal 2 binary64) t) z)) (patch #s(approx (+ ( (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* 2 (/ z t))) (taylor 0 x) (#s(alt #s(approx (+ (* (/ 2 t) z) x) (.f64 (/.f64 #s(literal 2 binary64) t) z)) (patch #s(approx (+ ( (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* 2 (/ z t))) (taylor 0 x) (#s(alt #s(approx (+ (* (/ 2 t) z) x) (.f64 (/.f64 #s(literal 2 binary64) t) z)) (patch #s(approx (+ ( (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (.f64 y (/.f64 #s(literal -1 binary64) z)))) (patch #s(approx (- x (/ ( (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (*.f64 y (/.f64 #s(literal -1 binary64) z)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) (taylor inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (.f64 y (/.f64 #s(literal -1 binary64) z)))) (patch #s(approx (- x (/ ( (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (*.f64 y (/.f64 #s(literal -1 binary64) z)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) (taylor inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (.f64 y (/.f64 #s(literal -1 binary64) z)))) (patch #s(approx (- x (/ ( (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (*.f64 y (/.f64 #s(literal -1 binary64) z)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) (taylor inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (.f64 y (/.f64 #s(literal -1 binary64) z)))) (patch #s(approx (- x (/ ( (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (*.f64 y (/.f64 #s(literal -1 binary64) z)))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (.f64 (/.f64 #s(literal 2 binary64) t) z))) (patch #s(approx (- x (/ ( (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) (taylor inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (.f64 (/.f64 #s(literal 2 binary64) t) z))) (patch #s(approx (- x (/ ( (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) (taylor inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (.f64 (/.f64 #s(literal 2 binary64) t) z))) (patch #s(approx (- x (/ ( (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) (taylor inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (.f64 (/.f64 #s(literal 2 binary64) t) z))) (patch #s(approx (- x (/ ( (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt #s(approx (+ (* (/ 2 t) z) x) (.f64 (/.f64 #s(literal 2 binary64) t) z)) (patch #s(approx (+ ( (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 2 (/ z (* t x))))) (taylor inf x) (#s(alt #s(approx (+ (* (/ 2 t) z) x) (.f64 (/.f64 #s(literal 2 binary64) t) z)) (patch #s(approx (+ ( (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 2 (/ z (* t x))))) (taylor inf x) (#s(alt #s(approx (+ (* (/ 2 t) z) x) (.f64 (/.f64 #s(literal 2 binary64) t) z)) (patch #s(approx (+ ( (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 2 (/ z (* t x))))) (taylor inf x) (#s(alt #s(approx (+ (* (/ 2 t) z) x) (.f64 (/.f64 #s(literal 2 binary64) t) z)) (patch #s(approx (+ ( (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (.f64 y (/.f64 #s(literal -1 binary64) z)))) (patch #s(approx (- x (/ ( (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (*.f64 y (/.f64 #s(literal -1 binary64) z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (.f64 y (/.f64 #s(literal -1 binary64) z)))) (patch #s(approx (- x (/ ( (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (*.f64 y (/.f64 #s(literal -1 binary64) z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (.f64 y (/.f64 #s(literal -1 binary64) z)))) (patch #s(approx (- x (/ ( (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (*.f64 y (/.f64 #s(literal -1 binary64) z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (.f64 y (/.f64 #s(literal -1 binary64) z)))) (patch #s(approx (- x (/ ( (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (*.f64 y (/.f64 #s(literal -1 binary64) z)))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (.f64 (/.f64 #s(literal 2 binary64) t) z))) (patch #s(approx (- x (/ ( (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (.f64 (/.f64 #s(literal 2 binary64) t) z))) (patch #s(approx (- x (/ ( (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (.f64 (/.f64 #s(literal 2 binary64) t) z))) (patch #s(approx (- x (/ ( (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (.f64 (/.f64 #s(literal 2 binary64) t) z))) (patch #s(approx (- x (/ ( (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ (* (/ 2 t) z) x) (.f64 (/.f64 #s(literal 2 binary64) t) z)) (patch #s(approx (+ ( (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -2 (/ z (* t x))) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (/ 2 t) z) x) (.f64 (/.f64 #s(literal 2 binary64) t) z)) (patch #s(approx (+ ( (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -2 (/ z (* t x))) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (/ 2 t) z) x) (.f64 (/.f64 #s(literal 2 binary64) t) z)) (patch #s(approx (+ ( (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -2 (/ z (* t x))) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (/ 2 t) z) x) (.f64 (/.f64 #s(literal 2 binary64) t) z)) (patch #s(approx (+ ( (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	t	@	0	((* y (/ -1 z)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/ -1 z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ 2 t) z) (/ 2 t))
1.0ms	z	@	inf	((* y (/ -1 z)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/ -1 z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ 2 t) z) (/ 2 t))
1.0ms	z	@	0	((* y (/ -1 z)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/ -1 z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ 2 t) z) (/ 2 t))
1.0ms	z	@	-inf	((* y (/ -1 z)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/ -1 z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ 2 t) z) (/ 2 t))
1.0ms	x	@	0	((* y (/ -1 z)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/ -1 z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ 2 t) z) (/ 2 t))

simplify235.0ms (3.3%)

Memory

-2.2MiB live, 147.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	339	3048
1	983	3011
2	2915	2949
0	8542	2777

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 219

Calls

Call 1

Inputs
(- x (/ y z))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(* -1 (/ y z))
(+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3))))
(+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* -1/4 (/ (* t (pow y 3)) (pow z 5))))))
(+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* -1/4 (/ (pow y 3) (pow z 5))) (* -1/8 (/ (* t (pow y 4)) (pow z 7))))))))
(- x (/ y z))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(* 2 (/ z t))
(/ (+ (* 2 z) (* t x)) t)
(/ (+ (* 2 z) (* t x)) t)
(/ (+ (* 2 z) (* t x)) t)
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(/ 2 t)
(/ 2 t)
(/ 2 t)
(/ 2 t)
x
(+ x (* 2 (/ z t)))
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
(* 2 (/ z t))
(/ (+ (* 2 z) (* 4 (/ (pow z 3) (* t y)))) t)
(/ (+ (* 2 z) (+ (* 4 (/ (pow z 3) (* t y))) (* 8 (/ (pow z 5) (* (pow t 2) (pow y 2)))))) t)
(/ (+ (* 2 z) (+ (* 4 (/ (pow z 3) (* t y))) (+ (* 8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (* 16 (/ (pow z 7) (* (pow t 3) (pow y 3))))))) t)
x
(+ x (* 2 (/ z t)))
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
x
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(/ 2 t)
(/ 2 t)
(/ 2 t)
(/ 2 t)
x
(+ x (* 2 (/ z t)))
(+ x (* -1 (/ (- (* -4 (/ (pow z 3) (* t y))) (* 2 z)) t)))
(+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t)))
(* 2 (/ z t))
(* -1 (/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t))
(* -1 (/ (+ (* -2 z) (* -1 (/ (+ (* 4 (/ (pow z 3) y)) (* 8 (/ (pow z 5) (* t (pow y 2))))) t))) t))
(* -1 (/ (+ (* -2 z) (* -1 (/ (+ (* -1 (/ (+ (* -16 (/ (pow z 7) (* t (pow y 3)))) (* -8 (/ (pow z 5) (pow y 2)))) t)) (* 4 (/ (pow z 3) y))) t))) t))
x
(+ x (* 2 (/ z t)))
(+ x (* -1 (/ (- (* -4 (/ (pow z 3) (* t y))) (* 2 z)) t)))
(+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t)))
x
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(/ 2 t)
(/ 2 t)
(/ 2 t)
(/ 2 t)
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
x
(+ x (* 2 (/ z t)))
(+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t)))))
(+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))))
(* 2 (/ z t))
(* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t))))
(* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))
(* z (+ (* (pow z 2) (+ (* (pow z 2) (+ (* 16 (/ (pow z 2) (* (pow t 4) (pow y 3)))) (* 8 (/ 1 (* (pow t 3) (pow y 2)))))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
x
(+ x (* 2 (/ z t)))
(+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t)))))
(+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))))
x
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
x
(+ x (* -1 (/ y z)))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(- (+ x (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5)))) (+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z)))
(* -1 (/ y z))
(/ (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2)))) z)
(/ (+ (* -1 y) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))))) z)
(/ (+ (* -1 y) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 2))) (+ (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* -1/8 (/ (* (pow t 3) (pow y 4)) (pow z 6)))))) z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
x
(+ x (* -1 (/ y z)))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(- (+ x (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5)))) (+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z)))
(* 2 (/ z t))
(* z (+ (* 2 (/ 1 t)) (/ x z)))
(* z (+ (* 2 (/ 1 t)) (/ x z)))
(* z (+ (* 2 (/ 1 t)) (/ x z)))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
x
(+ x (* -1 (/ y z)))
(+ x (* -1 (/ (- (* 1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1 y)) z)))
(+ x (* -1 (/ (- (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2))))) z)))
(* -1 (/ y z))
(* -1 (/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z))
(* -1 (/ (+ y (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2))))) z))
(* -1 (/ (+ y (+ (* 1/8 (/ (* (pow t 3) (pow y 4)) (pow z 6))) (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2)))))) z))
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
x
(+ x (* -1 (/ y z)))
(+ x (* -1 (/ (- (* 1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1 y)) z)))
(+ x (* -1 (/ (- (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2))))) z)))
(* 2 (/ z t))
(* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))
(* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))
(* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
x
(+ x (* -1 (/ y z)))
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))))
(+ x (* y (- (* y (- (* -1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z))))
(* -1 (/ y z))
(* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)))
(* y (- (* y (+ (* -1/2 (/ t (pow z 3))) (* -1/4 (/ (* (pow t 2) y) (pow z 5))))) (/ 1 z)))
(* y (- (* y (+ (* -1/2 (/ t (pow z 3))) (* y (+ (* -1/4 (/ (pow t 2) (pow z 5))) (* -1/8 (/ (* (pow t 3) y) (pow z 7))))))) (/ 1 z)))
x
(+ x (* -1 (/ y z)))
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))))
(+ x (* y (- (* y (- (* -1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z))))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(- x (* -2 (/ z t)))
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
(- (+ x (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))))
(* 2 (/ z t))
(+ (* 2 (/ z t)) (* 4 (/ (pow z 3) (* (pow t 2) y))))
(+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))))
(+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (+ (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3)))))))
(- x (* -2 (/ z t)))
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
(- (+ x (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))))
(* -1 (/ y z))
(* -1 (/ y z))
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(- x (* -2 (/ z t)))
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(- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))
(* 2 (/ z t))
(+ (* 2 (/ z t)) (* 4 (/ (pow z 3) (* (pow t 2) y))))
(+ (* -1 (/ (+ (* -8 (/ (pow z 5) (* (pow t 3) y))) (* -4 (/ (pow z 3) (pow t 2)))) y)) (* 2 (/ z t)))
(+ (* -1 (/ (+ (* -4 (/ (pow z 3) (pow t 2))) (* -1 (/ (+ (* 8 (/ (pow z 5) (pow t 3))) (* 16 (/ (pow z 7) (* (pow t 4) y)))) y))) y)) (* 2 (/ z t)))
(- x (* -2 (/ z t)))
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(* 2 (/ z t))
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
x
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
x
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
x
(* x (+ 1 (* 2 (/ z (* t x)))))
(* x (+ 1 (* 2 (/ z (* t x)))))
(* x (+ 1 (* 2 (/ z (* t x)))))
x
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
x
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
x
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))

Outputs
(- x (/ y z))
(-.f64 x (/.f64 y z))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(fma.f64 (.f64 (.f64 y y) (/.f64 t (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/2 binary64) (-.f64 x (/.f64 y z)))
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(fma.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) t) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (.f64 (*.f64 y y) #s(literal -1/2 binary64)) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z)))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) t) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 7 binary64))) (/.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64)) (pow.f64 z #s(literal 5 binary64)))) t (/.f64 (.f64 (.f64 y y) #s(literal -1/2 binary64)) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z)))
(* -1 (/ y z))
(/.f64 (neg.f64 y) z)
(+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3))))
(/.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) t) z) (/.f64 (.f64 y y) z) y) (neg.f64 z))
(+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* -1/4 (/ (* t (pow y 3)) (pow z 5))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) t) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (.f64 (*.f64 y y) #s(literal -1/2 binary64)) (pow.f64 z #s(literal 3 binary64)))) t (/.f64 (neg.f64 y) z))
(+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* -1/4 (/ (pow y 3) (pow z 5))) (* -1/8 (/ (* t (pow y 4)) (pow z 7))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) t) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 7 binary64))) (/.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64)) (pow.f64 z #s(literal 5 binary64)))) t (/.f64 (.f64 (.f64 y y) #s(literal -1/2 binary64)) (pow.f64 z #s(literal 3 binary64)))) t (/.f64 (neg.f64 y) z))
(- x (/ y z))
(-.f64 x (/.f64 y z))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(fma.f64 (.f64 (.f64 y y) (/.f64 t (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/2 binary64) (-.f64 x (/.f64 y z)))
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(fma.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) t) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (.f64 (*.f64 y y) #s(literal -1/2 binary64)) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z)))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) t) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 7 binary64))) (/.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64)) (pow.f64 z #s(literal 5 binary64)))) t (/.f64 (.f64 (.f64 y y) #s(literal -1/2 binary64)) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z)))
(* 2 (/ z t))
(*.f64 (/.f64 z t) #s(literal 2 binary64))
(/ (+ (* 2 z) (* t x)) t)
(/.f64 (fma.f64 #s(literal 2 binary64) z (*.f64 t x)) t)
(/ (+ (* 2 z) (* t x)) t)
(/.f64 (fma.f64 #s(literal 2 binary64) z (*.f64 t x)) t)
(/ (+ (* 2 z) (* t x)) t)
(/.f64 (fma.f64 #s(literal 2 binary64) z (*.f64 t x)) t)
(* 2 (/ z t))
(*.f64 (/.f64 z t) #s(literal 2 binary64))
(* 2 (/ z t))
(*.f64 (/.f64 z t) #s(literal 2 binary64))
(* 2 (/ z t))
(*.f64 (/.f64 z t) #s(literal 2 binary64))
(* 2 (/ z t))
(*.f64 (/.f64 z t) #s(literal 2 binary64))
(/ 2 t)
(/.f64 #s(literal 2 binary64) t)
(/ 2 t)
(/.f64 #s(literal 2 binary64) t)
(/ 2 t)
(/.f64 #s(literal 2 binary64) t)
(/ 2 t)
(/.f64 #s(literal 2 binary64) t)
x
(+ x (* 2 (/ z t)))
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x)
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t))
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
(+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) z (/.f64 (fma.f64 (/.f64 #s(literal 8 binary64) (.f64 t y)) (/.f64 (pow.f64 z #s(literal 5 binary64)) y) (.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal 4 binary64))) t)) t) x)
(* 2 (/ z t))
(*.f64 (/.f64 z t) #s(literal 2 binary64))
(/ (+ (* 2 z) (* 4 (/ (pow z 3) (* t y)))) t)
(/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal 2 binary64) z)) t)
(/ (+ (* 2 z) (+ (* 4 (/ (pow z 3) (* t y))) (* 8 (/ (pow z 5) (* (pow t 2) (pow y 2)))))) t)
(/.f64 (fma.f64 #s(literal 2 binary64) z (/.f64 (fma.f64 (/.f64 #s(literal 8 binary64) (.f64 t y)) (/.f64 (pow.f64 z #s(literal 5 binary64)) y) (.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal 4 binary64))) t)) t)
(/ (+ (* 2 z) (+ (* 4 (/ (pow z 3) (* t y))) (+ (* 8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (* 16 (/ (pow z 7) (* (pow t 3) (pow y 3))))))) t)
(/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 16 binary64) (pow.f64 t #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) z (/.f64 (fma.f64 (/.f64 #s(literal 8 binary64) (.f64 t y)) (/.f64 (pow.f64 z #s(literal 5 binary64)) y) (.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal 4 binary64))) t))) t)
x
(+ x (* 2 (/ z t)))
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x)
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t))
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
(+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) z (/.f64 (fma.f64 (/.f64 #s(literal 8 binary64) (.f64 t y)) (/.f64 (pow.f64 z #s(literal 5 binary64)) y) (.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal 4 binary64))) t)) t) x)
x
(+ x (* 2 (/ z t)))
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x)
(+ x (* 2 (/ z t)))
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x)
(+ x (* 2 (/ z t)))
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x)
(* 2 (/ z t))
(*.f64 (/.f64 z t) #s(literal 2 binary64))
(* 2 (/ z t))
(*.f64 (/.f64 z t) #s(literal 2 binary64))
(* 2 (/ z t))
(*.f64 (/.f64 z t) #s(literal 2 binary64))
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(*.f64 (/.f64 z t) #s(literal 2 binary64))
(/ 2 t)
(/.f64 #s(literal 2 binary64) t)
(/ 2 t)
(/.f64 #s(literal 2 binary64) t)
(/ 2 t)
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(/ 2 t)
(/.f64 #s(literal 2 binary64) t)
x
(+ x (* 2 (/ z t)))
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x)
(+ x (* -1 (/ (- (* -4 (/ (pow z 3) (* t y))) (* 2 z)) t)))
(-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t))
(+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t)))
(+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) z (/.f64 (fma.f64 (/.f64 #s(literal 8 binary64) (.f64 t y)) (/.f64 (pow.f64 z #s(literal 5 binary64)) y) (.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal 4 binary64))) t)) t) x)
(* 2 (/ z t))
(*.f64 (/.f64 z t) #s(literal 2 binary64))
(* -1 (/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t))
(/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal 2 binary64) z)) t)
(* -1 (/ (+ (* -2 z) (* -1 (/ (+ (* 4 (/ (pow z 3) y)) (* 8 (/ (pow z 5) (* t (pow y 2))))) t))) t))
(/.f64 (fma.f64 #s(literal 2 binary64) z (/.f64 (fma.f64 (/.f64 #s(literal 8 binary64) (.f64 t y)) (/.f64 (pow.f64 z #s(literal 5 binary64)) y) (.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal 4 binary64))) t)) t)
(* -1 (/ (+ (* -2 z) (* -1 (/ (+ (* -1 (/ (+ (* -16 (/ (pow z 7) (* t (pow y 3)))) (* -8 (/ (pow z 5) (pow y 2)))) t)) (* 4 (/ (pow z 3) y))) t))) t))
(/.f64 (fma.f64 #s(literal -2 binary64) z (/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal 4 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -16 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 7 binary64)) t) (*.f64 (/.f64 (pow.f64 z #s(literal 5 binary64)) y) (/.f64 #s(literal -8 binary64) y))) (neg.f64 t))) (neg.f64 t))) (neg.f64 t))
x
(+ x (* 2 (/ z t)))
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x)
(+ x (* -1 (/ (- (* -4 (/ (pow z 3) (* t y))) (* 2 z)) t)))
(-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t))
(+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t)))
(+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) z (/.f64 (fma.f64 (/.f64 #s(literal 8 binary64) (.f64 t y)) (/.f64 (pow.f64 z #s(literal 5 binary64)) y) (.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal 4 binary64))) t)) t) x)
x
(+ x (* 2 (/ z t)))
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x)
(+ x (* 2 (/ z t)))
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x)
(+ x (* 2 (/ z t)))
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x)
(* 2 (/ z t))
(*.f64 (/.f64 z t) #s(literal 2 binary64))
(* 2 (/ z t))
(*.f64 (/.f64 z t) #s(literal 2 binary64))
(* 2 (/ z t))
(*.f64 (/.f64 z t) #s(literal 2 binary64))
(* 2 (/ z t))
(*.f64 (/.f64 z t) #s(literal 2 binary64))
(/ 2 t)
(/.f64 #s(literal 2 binary64) t)
(/ 2 t)
(/.f64 #s(literal 2 binary64) t)
(/ 2 t)
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(/ 2 t)
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(* -1 (/ y z))
(/.f64 (neg.f64 y) z)
(* -1 (/ y z))
(/.f64 (neg.f64 y) z)
(* -1 (/ y z))
(/.f64 (neg.f64 y) z)
(* -1 (/ y z))
(/.f64 (neg.f64 y) z)
x
(+ x (* 2 (/ z t)))
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x)
(+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t)))))
(-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t))
(+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))))
(fma.f64 (fma.f64 (/.f64 (.f64 #s(literal 8 binary64) z) y) (/.f64 z (.f64 (pow.f64 t #s(literal 3 binary64)) y)) (/.f64 #s(literal 4 binary64) (.f64 (.f64 t t) y))) (pow.f64 z #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x))
(* 2 (/ z t))
(*.f64 (/.f64 z t) #s(literal 2 binary64))
(* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t))))
(/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal 2 binary64) z)) t)
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(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t))
(- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))
(+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) z (/.f64 (fma.f64 (/.f64 #s(literal 8 binary64) (.f64 t y)) (/.f64 (pow.f64 z #s(literal 5 binary64)) y) (.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal 4 binary64))) t)) t) x)
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))
(fma.f64 (/.f64 #s(literal 16 binary64) (pow.f64 t #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) z (/.f64 (fma.f64 (/.f64 #s(literal 8 binary64) (.f64 t y)) (/.f64 (pow.f64 z #s(literal 5 binary64)) y) (.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal 4 binary64))) t)) t) x))
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))
(.f64 (.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 y) t (.f64 (.f64 z z) #s(literal 2 binary64)))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 y) t (.f64 (*.f64 z z) #s(literal 2 binary64)))) x)
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 y) t (.f64 (*.f64 z z) #s(literal 2 binary64)))) x)
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 y) t (.f64 (*.f64 z z) #s(literal 2 binary64)))) x)
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))
(.f64 (.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 y) t (.f64 (.f64 z z) #s(literal 2 binary64)))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 y) t (.f64 (*.f64 z z) #s(literal 2 binary64)))) x)
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 y) t (.f64 (*.f64 z z) #s(literal 2 binary64)))) x)
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 y) t (.f64 (*.f64 z z) #s(literal 2 binary64)))) x)
(* 2 (/ z t))
(*.f64 (/.f64 z t) #s(literal 2 binary64))
(+ x (* 2 (/ z t)))
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x)
(+ x (* 2 (/ z t)))
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x)
(+ x (* 2 (/ z t)))
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x)
x
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (neg.f64 y) t (.f64 (.f64 z z) #s(literal 2 binary64)))) (.f64 (/.f64 y x) z) #s(literal 1 binary64)) x)
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (neg.f64 y) t (.f64 (.f64 z z) #s(literal 2 binary64)))) (.f64 (/.f64 y x) z) #s(literal 1 binary64)) x)
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (neg.f64 y) t (.f64 (.f64 z z) #s(literal 2 binary64)))) (.f64 (/.f64 y x) z) #s(literal 1 binary64)) x)
x
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (neg.f64 y) t (.f64 (.f64 z z) #s(literal 2 binary64)))) (.f64 (/.f64 y x) z) #s(literal 1 binary64)) x)
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (neg.f64 y) t (.f64 (.f64 z z) #s(literal 2 binary64)))) (.f64 (/.f64 y x) z) #s(literal 1 binary64)) x)
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (neg.f64 y) t (.f64 (.f64 z z) #s(literal 2 binary64)))) (.f64 (/.f64 y x) z) #s(literal 1 binary64)) x)
x
(* x (+ 1 (* 2 (/ z (* t x)))))
(fma.f64 (*.f64 (/.f64 (/.f64 z t) x) #s(literal 2 binary64)) x x)
(* x (+ 1 (* 2 (/ z (* t x)))))
(fma.f64 (*.f64 (/.f64 (/.f64 z t) x) #s(literal 2 binary64)) x x)
(* x (+ 1 (* 2 (/ z (* t x)))))
(fma.f64 (*.f64 (/.f64 (/.f64 z t) x) #s(literal 2 binary64)) x x)
x
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (neg.f64 y) t (.f64 (.f64 z z) #s(literal 2 binary64)))) (.f64 (/.f64 y x) z) #s(literal 1 binary64)) x)
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (neg.f64 y) t (.f64 (.f64 z z) #s(literal 2 binary64)))) (.f64 (/.f64 y x) z) #s(literal 1 binary64)) x)
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (neg.f64 y) t (.f64 (.f64 z z) #s(literal 2 binary64)))) (.f64 (/.f64 y x) z) #s(literal 1 binary64)) x)
x
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (neg.f64 y) t (.f64 (.f64 z z) #s(literal 2 binary64)))) (.f64 (/.f64 y x) z) #s(literal 1 binary64)) x)
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (neg.f64 y) t (.f64 (.f64 z z) #s(literal 2 binary64)))) (.f64 (/.f64 y x) z) #s(literal 1 binary64)) x)
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (neg.f64 y) t (.f64 (.f64 z z) #s(literal 2 binary64)))) (.f64 (/.f64 y x) z) #s(literal 1 binary64)) x)
x
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(fma.f64 (*.f64 (/.f64 (/.f64 z t) x) #s(literal 2 binary64)) x x)
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(fma.f64 (*.f64 (/.f64 (/.f64 z t) x) #s(literal 2 binary64)) x x)
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(fma.f64 (*.f64 (/.f64 (/.f64 z t) x) #s(literal 2 binary64)) x x)

rewrite321.0ms (4.5%)

Memory

9.8MiB live, 126.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	120
0	37	120
1	152	117
2	1027	117
0	9184	109

Stop Event

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

Counts

8 → 76

Calls

Call 1

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

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

eval33.0ms (0.5%)

Memory: 7.8MiB live, 45.8MiB allocated
Compiler: Compiled 3 878 to 527 computations (86.4% saved)

prune39.0ms (0.5%)

Memory

-2.9MiB live, 35.1MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	295	0	295
Fresh	0	0	0
Picked	0	2	2
Done	0	6	6
Total	295	8	303

Accuracy

100.0%

Counts

303 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	63.2%	(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
✓	62.4%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x))
✓	17.1%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/.f64 (.f64 (.f64 #s(literal 2 binary64) z) y) (fma.f64 (.f64 z #s(literal -2 binary64)) z (.f64 y t))))
✓	19.7%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 y t (.f64 (.f64 z #s(literal -2 binary64)) z)))))
✓	12.7%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))))
✓	12.6%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)))
✓	14.4%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z)))
✓	14.3%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (*.f64 y (/.f64 #s(literal -1 binary64) z))))

Compiler

Compiled 211 to 142 computations (32.7% saved)

regimes33.0ms (0.5%)

Memory

-12.7MiB live, 34.3MiB allocated

Counts

13 → 2

Calls

Call 1

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

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

Calls

6 calls:

9.0ms	t
5.0ms	(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
5.0ms	z
4.0ms	(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))
4.0ms	y

Results

Accuracy	Segments	Branch
93.3%	1	`x`
93.3%	1	`y`
95.6%	2	`z`
93.3%	1	`t`
95.8%	2	`(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))`
95.8%	2	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`

Compiler

Compiled 36 to 41 computations (-13.9% saved)

regimes119.0ms (1.6%)

Memory

2.4MiB live, 39.6MiB allocated

Counts

11 → 2

Calls

Call 1

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

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

Calls

6 calls:

98.0ms	y
4.0ms	(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
4.0ms	z
4.0ms	t
4.0ms	x

Results

Accuracy	Segments	Branch
85.5%	1	`x`
85.5%	1	`t`
85.5%	1	`y`
94.3%	3	`z`
94.1%	2	`(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))`
95.3%	3	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`

Compiler

Compiled 36 to 41 computations (-13.9% saved)

regimes12.0ms (0.2%)

Memory

17.8MiB live, 17.8MiB allocated

Counts

10 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

4.0ms

(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))

4.0ms

3.0ms

(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))

Results

Accuracy	Segments	Branch
91.5%	3	`z`
70.9%	3	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`
69.3%	2	`(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))`

Compiler

Compiled 33 to 29 computations (12.1% saved)

regimes3.0ms (0%)

Memory

5.1MiB live, 5.1MiB allocated

Counts

6 → 3

Calls

Call 1

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

Outputs

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

#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x))

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
91.4%	3	`z`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes103.0ms (1.4%)

Memory

-13.3MiB live, 24.5MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

6 calls:

2.0ms	y
2.0ms	z
2.0ms	(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
2.0ms	x
2.0ms	t

Results

Accuracy	Segments	Branch
63.2%	1	`(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))`
63.2%	1	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`
63.2%	1	`y`
63.2%	1	`x`
63.2%	1	`t`
63.2%	1	`z`

Compiler

Compiled 36 to 41 computations (-13.9% saved)

regimes104.0ms (1.4%)

Memory

-21.7MiB live, 16.5MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

96.0ms	t
1.0ms	x
1.0ms	(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
1.0ms	z
1.0ms	y

Results

Accuracy	Segments	Branch
14.4%	1	`t`
14.4%	1	`z`
14.4%	1	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`
14.4%	1	`x`
14.4%	1	`y`
14.4%	1	`(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))`

Compiler

Compiled 36 to 41 computations (-13.9% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 20 to 20 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.1315380895552404e+262	7.627737080598196e+267

Compiler

Compiled 20 to 20 computations (0% saved)

bsearch28.0ms (0.4%)

Memory

35.1MiB live, 35.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	8.819247157783239e+23	3.463163342369809e+26
11.0ms	-1.7664679205734247e-29	-1.2979068539168796e-30

Samples

16.0ms

224×

valid

Compiler

Compiled 216 to 272 computations (-25.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 6.0ms (59.9% of total)

ival-sub: 2.0ms (20% of total)

ival-div: 1.0ms (10% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	8.819247157783239e+23	3.463163342369809e+26
1.0ms	-1.7664679205734247e-29	-1.2979068539168796e-30

Compiler

Compiled 202 to 258 computations (-27.7% saved)

simplify190.0ms (2.6%)

Memory

-21.8MiB live, 77.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	317
1	93	317
2	121	317
3	148	317
4	194	317
5	243	317
6	295	317
7	434	317
8	645	317
9	786	317
10	825	317
11	854	317
12	906	317
13	929	317
14	957	317
15	962	317
16	963	317

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t))) #s(literal +inf.0 binary64)) (fma.f64 y (/.f64 (.f64 #s(literal -2 binary64) z) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z))) x) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))))
(if (<=.f64 (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) #s(literal 40000000000000000646913571800383339123846908486129872438702310518421661412014315374453408998576214571527621321327358526046528689869971669581296616010182590337737396394258410382323756929971995522835654250828265875041445978844073254574421750143476061778666521100288 binary64)) (fma.f64 (.f64 z y) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) x) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))))
(if (<=.f64 z #s(literal -8563486156235759/713623846352979940529142984724747568191373312 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (if (<=.f64 z #s(literal 1999999999999999966445568 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 #s(literal -2 binary64) (/.f64 z t)))) (-.f64 x #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))))
(if (<=.f64 z #s(literal -8563486156235759/713623846352979940529142984724747568191373312 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (if (<=.f64 z #s(literal 1999999999999999966445568 binary64)) #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))))
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z)))

Outputs
(if (<=.f64 (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t))) #s(literal +inf.0 binary64)) (fma.f64 y (/.f64 (.f64 #s(literal -2 binary64) z) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z))) x) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))))
(if (<=.f64 (/.f64 (.f64 z (.f64 #s(literal 2 binary64) y)) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 t y))) #s(literal +inf.0 binary64)) (fma.f64 y (/.f64 (.f64 #s(literal -2 binary64) z) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z))) x) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))))
(if (<=.f64 (-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) #s(literal 40000000000000000646913571800383339123846908486129872438702310518421661412014315374453408998576214571527621321327358526046528689869971669581296616010182590337737396394258410382323756929971995522835654250828265875041445978844073254574421750143476061778666521100288 binary64)) (fma.f64 (.f64 z y) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) x) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))))
(if (<=.f64 (-.f64 x (/.f64 (.f64 z (.f64 #s(literal 2 binary64) y)) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 t y)))) #s(literal 40000000000000000646913571800383339123846908486129872438702310518421661412014315374453408998576214571527621321327358526046528689869971669581296616010182590337737396394258410382323756929971995522835654250828265875041445978844073254574421750143476061778666521100288 binary64)) (fma.f64 (.f64 z y) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) x) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))))
(if (<=.f64 z #s(literal -8563486156235759/713623846352979940529142984724747568191373312 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (if (<=.f64 z #s(literal 1999999999999999966445568 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 #s(literal -2 binary64) (/.f64 z t)))) (-.f64 x #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))))
(if (<=.f64 z #s(literal -8563486156235759/713623846352979940529142984724747568191373312 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (if (<=.f64 z #s(literal 1999999999999999966445568 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 (/.f64 z t) #s(literal -2 binary64)))) (-.f64 x #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))))
(if (<=.f64 z #s(literal -8563486156235759/713623846352979940529142984724747568191373312 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (if (<=.f64 z #s(literal 1999999999999999966445568 binary64)) #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))))
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z)))

soundness617.0ms (8.6%)

Memory

-7.0MiB live, 462.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	753	9715
1	2358	9577
2	7217	9566
0	8033	9029
0	13	52
0	21	52
1	71	52
2	541	52
3	7465	52
0	8831	49
0	347	2232
1	1030	2196
2	3147	2169
0	8645	2049

Stop Event

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

Compiler

Compiled 220 to 131 computations (40.5% saved)

preprocess328.0ms (4.6%)

Memory: 11.8MiB live, 207.9MiB allocated
Compiler: Compiled 356 to 154 computations (56.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	68	317
1	93	317
2	121	317
3	148	317
4	194	317
5	243	317
6	295	317
7	434	317
8	645	317
9	786	317
10	825	317
11	854	317
12	906	317
13	929	317
14	957	317
15	962	317
16	963	317

Iter	Nodes	Cost
0	68	317
1	93	317
2	121	317
3	148	317
4	194	317
5	243	317
6	295	317
7	434	317
8	645	317
9	786	317
10	825	317
11	854	317
12	906	317
13	929	317
14	957	317
15	962	317
16	963	317

start0.0ms (0%)

analyze292.0ms (4.1%)

sample1.5s (20.3%)

explain352.0ms (4.9%)

preprocess258.0ms (3.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify80.0ms (1.1%)

localize53.0ms (0.7%)

series27.0ms (0.4%)

simplify161.0ms (2.2%)

rewrite289.0ms (4%)

eval77.0ms (1.1%)

prune15.0ms (0.2%)

simplify127.0ms (1.8%)

localize97.0ms (1.3%)

series60.0ms (0.8%)

simplify189.0ms (2.6%)

rewrite170.0ms (2.4%)

eval218.0ms (3%)

prune79.0ms (1.1%)

simplify123.0ms (1.7%)

localize132.0ms (1.8%)

series42.0ms (0.6%)

simplify167.0ms (2.3%)

rewrite185.0ms (2.6%)

eval110.0ms (1.5%)

prune46.0ms (0.6%)

simplify116.0ms (1.6%)

localize79.0ms (1.1%)

series20.0ms (0.3%)

simplify235.0ms (3.3%)

rewrite321.0ms (4.5%)

eval33.0ms (0.5%)

prune39.0ms (0.5%)

regimes33.0ms (0.5%)

regimes119.0ms (1.6%)

regimes12.0ms (0.2%)

regimes3.0ms (0%)

regimes103.0ms (1.4%)

regimes104.0ms (1.4%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch28.0ms (0.4%)

bsearch2.0ms (0%)

simplify190.0ms (2.6%)

soundness617.0ms (8.6%)

preprocess328.0ms (4.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	68	317
1	93	317
2	121	317
3	148	317
4	194	317
5	243	317
6	295	317
7	434	317
8	645	317
9	786	317
10	825	317
11	854	317
12	906	317
13	929	317
14	957	317
15	962	317
16	963	317