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

start2.0ms (0%)

Memory: -38.4MiB live, 0.1MiB allocated

analyze248.0ms (2.8%)

Memory

-4.5MiB live, 297.2MiB 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)

sample1.9s (21.7%)

Memory

21.4MiB live, 1 592.6MiB allocated

Samples

1.4s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 888.0ms

ival-mult: 514.0ms (57.9% of total)

ival-div: 234.0ms (26.3% of total)

ival-sub: 127.0ms (14.3% of total)

ival-true: 6.0ms (0.7% of total)

exact: 5.0ms (0.6% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain259.0ms (3%)

Memory

4.9MiB live, 290.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
78	1	(-4.2430551366073464e+29 4.836838512472604e+175 -5.976293524995101e-162 -8.34679205329172e+161)	1	(1.2882920485892113e+157 -6.054422289188596e-268 4.005559753481406e-52 -1.9962573386025496e-114)	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`
2	0	-	0	-	`(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))`
0	0	-	0	-	`(*.f64 y t)`
0	0	-	0	-	`(.f64 (.f64 y #s(literal 2 binary64)) z)`
0	0	-	0	-	`t`
0	0	-	0	-	`(.f64 (.f64 z #s(literal 2 binary64)) z)`
0	0	-	0	-	`z`
0	0	-	0	-	`(*.f64 y #s(literal 2 binary64))`
0	0	-	0	-	`y`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`(*.f64 z #s(literal 2 binary64))`
0	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	-	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/o	11	0
↳	`(.f64 (.f64 y #s(literal 2 binary64)) z)`	overflow	37
↳	`(*.f64 z #s(literal 2 binary64))`	overflow	1
↳	`(*.f64 y t)`	overflow	32
↳	`(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))`	overflow	86
↳	`(.f64 (.f64 z #s(literal 2 binary64)) z)`	overflow	63
`/.f64`	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`	o/n	5	0
↳	`(.f64 (.f64 y #s(literal 2 binary64)) z)`	overflow	37
`/.f64`	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`	u/u	3	0
↳	`(.f64 (.f64 y #s(literal 2 binary64)) z)`	underflow	36
↳	`(*.f64 y t)`	underflow	26
↳	`(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))`	underflow	3
↳	`(.f64 (.f64 z #s(literal 2 binary64)) z)`	underflow	66
`-.f64`	`(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))`	nan-rescue	2	0
↳	`(*.f64 z #s(literal 2 binary64))`	overflow	1
↳	`(.f64 (.f64 z #s(literal 2 binary64)) z)`	overflow	63
↳	`(*.f64 y t)`	overflow	32
`/.f64`	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`	u/n	2	0
↳	`(.f64 (.f64 y #s(literal 2 binary64)) z)`	underflow	36
`/.f64`	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`	n/o	1	0
↳	`(*.f64 z #s(literal 2 binary64))`	overflow	1
↳	`(*.f64 y t)`	overflow	32
↳	`(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))`	overflow	86
↳	`(.f64 (.f64 z #s(literal 2 binary64)) z)`	overflow	63

Confusion

	Predicted +	Predicted -
+	24	19
-	0	213

Precision

1.0

Recall

0.5581395348837209

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	24	0	19
-	0	0	213

Precision?

1.0

Recall?

0.5581395348837209

Freqs

test

number	freq
0	232
1	24

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

139.0ms

512×

valid

Compiler

Compiled 151 to 43 computations (71.5% saved)

Precisions

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

ival-sub: 86.0ms (78.7% of total)

ival-mult: 20.0ms (18.3% of total)

ival-div: 3.0ms (2.7% of total)

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

exact: 0.0ms (0% of total)

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

preprocess177.0ms (2%)

Memory

9.4MiB live, 84.5MiB allocated

Algorithm

1×	egg-herbie

Rules

1 028×	`times-frac`
1 016×	`lower-fma.f64`
1 016×	`lower-fma.f32`
908×	`div-sub`
838×	`times-frac`

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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	83.3%	(-.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 (0.9%)

Memory

10.0MiB live, 46.6MiB 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))))

Rules

1 028×	`times-frac`
1 016×	`lower-fma.f64`
1 016×	`lower-fma.f32`
792×	`lower-*.f32`
782×	`lower-*.f64`

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

localize47.0ms (0.5%)

Memory

2.3MiB live, 76.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y #s(literal 2 binary64))
accuracy	0.015625	(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
accuracy	0.39843750000000006	(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))
accuracy	18.114740945340074	(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))

Samples

21.0ms

256×

valid

Compiler

Compiled 67 to 15 computations (77.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 7.0ms (60.9% of total)

ival-sub: 2.0ms (17.4% of total)

ival-div: 1.0ms (8.7% of total)

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

exact: 0.0ms (0% of total)

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

series26.0ms (0.3%)

Memory

-16.9MiB live, 55.3MiB allocated

Counts

5 → 156

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>) () ())

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 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>) () ())) ())
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#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
4.0ms	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)))
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)))
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)))
2.0ms	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)))
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)))

simplify210.0ms (2.4%)

Memory

47.8MiB live, 315.5MiB allocated

Algorithm

1×	egg-herbie

Rules

10 952×	`lower-fma.f64`
10 952×	`lower-fma.f32`
5 728×	`lower-*.f64`
5 728×	`lower-*.f32`
3 132×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	347	2160
1	1030	2124
2	3147	2097
0	8645	1977

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 148

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)))
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))
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))))
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)))
(- 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))
(- 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))))
(* -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)))
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))
(.f64 (-.f64 (.f64 (*.f64 z (/.f64 z t)) #s(literal 2 binary64)) y) 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 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))
(* -1 (/ (+ (* 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)
(* -1 (/ (+ (* -1 (/ (+ (* -8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t))
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(- 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)

rewrite300.0ms (3.4%)

Memory

-54.3MiB live, 256.2MiB allocated

Rules

8 416×	`lower-fma.f64`
8 416×	`lower-fma.f32`
6 098×	`lower-*.f32`
6 088×	`lower-*.f64`
3 214×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	49
0	21	49
1	71	49
2	541	49
3	7465	49
0	8831	46

Stop Event

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

Counts

5 → 400

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))

Outputs
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eval114.0ms (1.3%)

Memory: 32.0MiB live, 143.8MiB allocated
Compiler: Compiled 18 772 to 1 564 computations (91.7% saved)

prune18.0ms (0.2%)

Memory

-19.5MiB live, 51.8MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	541	7	548
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	542	7	549

Accuracy

100.0%

Counts

549 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	92.7%	(fma.f64 (.f64 z #s(literal 2 binary64)) (/.f64 y (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 t y))) x)
▶	92.9%	(fma.f64 #s(literal 2 binary64) (.f64 y (/.f64 z (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 t y)))) x)
▶	44.5%	(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (.f64 (.f64 z z) #s(literal 2 binary64)))))
▶	63.4%	(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
▶	64.8%	(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t))))
▶	64.8%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x))
	19.5%	#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 160 to 146 computations (8.8% saved)

simplify188.0ms (2.2%)

Memory

18.3MiB live, 101.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 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	0	(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (.f64 (.f64 z z) #s(literal 2 binary64))))
cost-diff	128	(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (.f64 (.f64 z z) #s(literal 2 binary64)))))
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 #s(literal -2 binary64) (.f64 z z) (.f64 t y))
cost-diff	0	(/.f64 z (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)))
cost-diff	0	(.f64 y (/.f64 z (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 t y))))
cost-diff	0	(fma.f64 #s(literal 2 binary64) (.f64 y (/.f64 z (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 t y)))) x)

Rules

2 040×	`lower-fma.f32`
2 034×	`lower-fma.f64`
1 528×	`lower-*.f32`
1 514×	`lower-*.f64`
710×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	275
0	57	275
1	101	275
2	177	275
3	372	273
4	692	273
5	1144	269
6	2375	269
7	3173	269
8	3832	269
9	3992	269
10	4032	269
11	4048	269
12	4062	269
13	4130	269
14	4169	269
15	4169	269
16	4209	269
17	4381	269
18	4381	269
0	4381	268

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize158.0ms (1.8%)

Memory

-8.9MiB live, 166.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(.f64 (.f64 z z) #s(literal 2 binary64))
accuracy	0.015625	(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (.f64 (.f64 z z) #s(literal 2 binary64)))))
accuracy	18.114740945340074	(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (.f64 (.f64 z z) #s(literal 2 binary64))))
accuracy	29.65836776976252	#s(approx (- (* (* z 2) z) (* y t)) (.f64 (.f64 z z) #s(literal 2 binary64)))
accuracy	0	(/.f64 z t)
accuracy	0.015625	(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t))))
accuracy	0.015625	(*.f64 #s(literal -2 binary64) (/.f64 z t))
accuracy	32.22680641178953	#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	0.0859375	(fma.f64 (/.f64 #s(literal 2 binary64) t) z x)
accuracy	22.533363494328487	#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	0.015625	(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
accuracy	30.881270187951795	#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))
accuracy	0.015625	(fma.f64 #s(literal 2 binary64) (.f64 y (/.f64 z (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 t y)))) x)
accuracy	0.49999587166041165	(fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))
accuracy	4.0042429233853145	(.f64 y (/.f64 z (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 t y))))
accuracy	15.889351567697663	(/.f64 z (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)))

Samples

140.0ms

256×

valid

Compiler

Compiled 238 to 31 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 123.0ms

ival-mult: 62.0ms (50.5% of total)

ival-sub: 49.0ms (39.9% of total)

ival-div: 8.0ms (6.5% of total)

ival-add: 3.0ms (2.4% of total)

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

exact: 0.0ms (0% of total)

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

series58.0ms (0.7%)

Memory

3.3MiB live, 116.5MiB allocated

Counts

20 → 660

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	t	@	0	((+ (* 2 (* y (/ z (+ (* -2 (* z z)) (* t y))))) x) (* y (/ z (+ (* -2 (* z z)) (* t y)))) (/ z (+ (* -2 (* z z)) (* t y))) (+ (* -2 (* z z)) (* t y)) (- 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)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* y 2) (- (* (* z 2) z) (* y t)) (* (* z z) 2))
4.0ms	t	@	-inf	((+ (* 2 (* y (/ z (+ (* -2 (* z z)) (* t y))))) x) (* y (/ z (+ (* -2 (* z z)) (* t y)))) (/ z (+ (* -2 (* z z)) (* t y))) (+ (* -2 (* z z)) (* t y)) (- 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)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* y 2) (- (* (* z 2) z) (* y t)) (* (* z z) 2))
3.0ms	z	@	-inf	((+ (* 2 (* y (/ z (+ (* -2 (* z z)) (* t y))))) x) (* y (/ z (+ (* -2 (* z z)) (* t y)))) (/ z (+ (* -2 (* z z)) (* t y))) (+ (* -2 (* z z)) (* t y)) (- 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)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* y 2) (- (* (* z 2) z) (* y t)) (* (* z z) 2))
3.0ms	z	@	inf	((+ (* 2 (* y (/ z (+ (* -2 (* z z)) (* t y))))) x) (* y (/ z (+ (* -2 (* z z)) (* t y)))) (/ z (+ (* -2 (* z z)) (* t y))) (+ (* -2 (* z z)) (* t y)) (- 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)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* y 2) (- (* (* z 2) z) (* y t)) (* (* z z) 2))
3.0ms	y	@	0	((+ (* 2 (* y (/ z (+ (* -2 (* z z)) (* t y))))) x) (* y (/ z (+ (* -2 (* z z)) (* t y)))) (/ z (+ (* -2 (* z z)) (* t y))) (+ (* -2 (* z z)) (* t y)) (- 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)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* y 2) (- (* (* z 2) z) (* y t)) (* (* z z) 2))

simplify213.0ms (2.4%)

Memory

-7.5MiB live, 294.2MiB allocated

Algorithm

1×	egg-herbie

Rules

7 224×	`lower-fma.f64`
7 224×	`lower-fma.f32`
5 442×	`lower-*.f64`
5 442×	`lower-*.f32`
2 948×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	733	9765
1	2295	9632
2	6974	9599
0	8081	9049

Stop Event

1×	iter limit
1×	node limit

Counts

660 → 615

Calls

Call 1

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

rewrite235.0ms (2.7%)

Memory

4.0MiB live, 218.9MiB allocated

Rules

5 476×	`lower-fma.f32`
5 470×	`lower-fma.f64`
5 232×	`lower-/.f32`
5 222×	`lower-/.f64`
4 586×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	245
0	57	245
1	231	245
2	1702	245
0	8727	243

Stop Event

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

Counts

20 → 403

Calls

Call 1

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

Outputs
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eval385.0ms (4.4%)

Memory: 23.8MiB live, 243.0MiB allocated
Compiler: Compiled 21 636 to 2 108 computations (90.3% saved)

prune37.0ms (0.4%)

Memory

1.2MiB live, 120.0MiB allocated

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	1 015	3	1 018
Fresh	0	2	2
Picked	3	2	5
Done	0	0	0
Total	1 018	7	1 025

Accuracy

100.0%

Counts

1 025 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.7%	(fma.f64 (.f64 z #s(literal 2 binary64)) (/.f64 y (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 t y))) x)
▶	63.4%	(fma.f64 #s(literal 2 binary64) (.f64 y #s(approx (/ z (+ ( -2 (* z z)) (* t y))) (/.f64 #s(literal -1/2 binary64) z))) x)
▶	44.5%	(fma.f64 #s(literal -2 binary64) (/.f64 (.f64 z y) #s(approx (- ( (* z 2) z) (* y t)) (.f64 (.f64 z z) #s(literal 2 binary64)))) x)
✓	63.4%	(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
✓	64.8%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x))
▶	19.5%	#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)))))
▶	13.2%	#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))))

Compiler

Compiled 131 to 127 computations (3.1% saved)

simplify202.0ms (2.3%)

Memory

7.4MiB live, 85.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

2 120×	`lower-fma.f32`
2 110×	`lower-fma.f64`
1 592×	`lower-*.f32`
1 572×	`lower-*.f64`
1 178×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	310
0	73	310
1	130	310
2	201	310
3	328	306
4	569	306
5	998	306
6	2188	306
7	3428	306
8	4133	306
9	4289	306
10	4334	306
11	4359	306
12	4402	306
13	4577	306
14	4696	306
15	4696	306
16	4696	306
17	4696	306
18	4736	306
19	5037	306
0	5037	304

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize298.0ms (3.4%)

Memory

-33.1MiB live, 182.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.49999449521112044	(fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 t y))
accuracy	4.014636271470944	(.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 t y))))
accuracy	15.889351567697663	(/.f64 z (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 t y)))
accuracy	47.864629584685794	#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	0.0078125	(.f64 (.f64 z z) #s(literal 2 binary64))
accuracy	0.015625	(fma.f64 #s(literal -2 binary64) (/.f64 (.f64 z y) #s(approx (- ( (* z 2) z) (* y t)) (.f64 (.f64 z z) #s(literal 2 binary64)))) x)
accuracy	18.093374681506834	(/.f64 (.f64 z y) #s(approx (- ( (* z 2) z) (* y t)) (.f64 (.f64 z z) #s(literal 2 binary64))))
accuracy	29.65836776976252	#s(approx (- (* (* z 2) z) (* y t)) (.f64 (.f64 z z) #s(literal 2 binary64)))
accuracy	0	(/.f64 #s(literal -1/2 binary64) z)
accuracy	0.015625	(fma.f64 #s(literal 2 binary64) (.f64 y #s(approx (/ z (+ ( -2 (* z z)) (* t y))) (/.f64 #s(literal -1/2 binary64) z))) x)
accuracy	4.0042429233853145	(.f64 y #s(approx (/ z (+ ( -2 (* z z)) (* t y))) (/.f64 #s(literal -1/2 binary64) z)))
accuracy	30.883703763437047	#s(approx (/ z (+ (* -2 (* z z)) (* t y))) (/.f64 #s(literal -1/2 binary64) z))
accuracy	0	(/.f64 z t)
accuracy	0.015625	(*.f64 (/.f64 z t) #s(literal 2 binary64))
accuracy	22.533363494328487	#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	33.32749688503578	#s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))
accuracy	0	(*.f64 t y)
accuracy	0.49999587166041165	(fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))
accuracy	1.728216445344402	(fma.f64 (.f64 z #s(literal 2 binary64)) (/.f64 y (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 t y))) x)
accuracy	10.794133087669183	(/.f64 y (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)))

Samples

89.0ms

256×

valid

Compiler

Compiled 259 to 45 computations (82.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-mult: 35.0ms (52.3% of total)

ival-div: 22.0ms (32.9% of total)

ival-add: 7.0ms (10.5% of total)

ival-sub: 2.0ms (3% of total)

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

exact: 0.0ms (0% of total)

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

series63.0ms (0.7%)

Memory

20.7MiB live, 136.2MiB allocated

Counts

23 → 744

Calls

Call 1

Inputs
#s(alt (fma.f64 (.f64 z #s(literal 2 binary64)) (/.f64 y (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) x) (patch (fma.f64 (.f64 z #s(literal 2 binary64)) (/.f64 y (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) x) #<representation binary64>) () ())
#s(alt (.f64 z #s(literal 2 binary64)) (patch (.f64 z #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 y (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) (patch (/.f64 y (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)) (patch (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t 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 (fma.f64 #s(literal 2 binary64) (.f64 y #s(approx (/ z (+ ( -2 (* z z)) (* t y))) (/.f64 #s(literal -1/2 binary64) z))) x) (patch (fma.f64 #s(literal 2 binary64) (.f64 y #s(approx (/ z (+ ( -2 (* z z)) (* t y))) (/.f64 #s(literal -1/2 binary64) z))) x) #<representation binary64>) () ())
#s(alt (.f64 y #s(approx (/ z (+ ( -2 (* z z)) (* t y))) (/.f64 #s(literal -1/2 binary64) z))) (patch (.f64 y #s(approx (/ z (+ ( -2 (* z z)) (* t y))) (/.f64 #s(literal -1/2 binary64) z))) #<representation binary64>) () ())
#s(alt #s(approx (/ z (+ (* -2 (* z z)) (* t y))) (/.f64 #s(literal -1/2 binary64) z)) (patch #s(approx (/ z (+ (* -2 (* z z)) (* t y))) (/.f64 #s(literal -1/2 binary64) z)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1/2 binary64) z) (patch (/.f64 #s(literal -1/2 binary64) z) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 z y) #s(approx (- ( (* z 2) z) (* y t)) (.f64 (.f64 z z) #s(literal 2 binary64)))) x) (patch (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 z y) #s(approx (- ( (* z 2) z) (* y t)) (.f64 (.f64 z z) #s(literal 2 binary64)))) x) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 z y) #s(approx (- ( (* z 2) z) (* y t)) (.f64 (.f64 z z) #s(literal 2 binary64)))) (patch (/.f64 (.f64 z y) #s(approx (- ( (* z 2) z) (* y t)) (.f64 (.f64 z z) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 z y) (patch (.f64 z y) #<representation binary64>) () ())
#s(alt #s(approx (- (* (* z 2) z) (* y t)) (.f64 (.f64 z z) #s(literal 2 binary64))) (patch #s(approx (- (* (* z 2) z) (* y t)) (.f64 (.f64 z z) #s(literal 2 binary64))) #<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 (.f64 t y) (patch (.f64 t y) #<representation binary64>) () ())
#s(alt (.f64 (.f64 z z) #s(literal 2 binary64)) (patch (.f64 (.f64 z z) #s(literal 2 binary64)) #<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 (+ x (* -1 (/ y z))) (taylor 0 t) (#s(alt (fma.f64 (.f64 z #s(literal 2 binary64)) (/.f64 y (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) x) (patch (fma.f64 (.f64 z #s(literal 2 binary64)) (/.f64 y (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) 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 (.f64 z #s(literal 2 binary64)) (/.f64 y (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) x) (patch (fma.f64 (.f64 z #s(literal 2 binary64)) (/.f64 y (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) 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 (.f64 z #s(literal 2 binary64)) (/.f64 y (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) x) (patch (fma.f64 (.f64 z #s(literal 2 binary64)) (/.f64 y (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) 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 (.f64 z #s(literal 2 binary64)) (/.f64 y (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) x) (patch (fma.f64 (.f64 z #s(literal 2 binary64)) (/.f64 y (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) x) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ y (pow z 2))) (taylor 0 t) (#s(alt (/.f64 y (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) (patch (/.f64 y (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ y (pow z 2))) (* -1/4 (/ (* t (pow y 2)) (pow z 4)))) (taylor 0 t) (#s(alt (/.f64 y (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) (patch (/.f64 y (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ y (pow z 2))) (* t (- (* -1/8 (/ (* t (pow y 3)) (pow z 6))) (* 1/4 (/ (pow y 2) (pow z 4)))))) (taylor 0 t) (#s(alt (/.f64 y (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) (patch (/.f64 y (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ y (pow z 2))) (* t (- (* t (- (* -1/16 (/ (* t (pow y 4)) (pow z 8))) (* 1/8 (/ (pow y 3) (pow z 6))))) (* 1/4 (/ (pow y 2) (pow z 4)))))) (taylor 0 t) (#s(alt (/.f64 y (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) (patch (/.f64 y (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) #<representation binary64>) () ())) ())
#s(alt (* -2 (pow z 2)) (taylor 0 t) (#s(alt (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)) (patch (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (pow z 2)) (* t y)) (taylor 0 t) (#s(alt (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)) (patch (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (pow z 2)) (* t y)) (taylor 0 t) (#s(alt (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)) (patch (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (pow z 2)) (* t y)) (taylor 0 t) (#s(alt (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)) (patch (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)) #<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 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>) () ())) ())
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Calls

12 calls:

Time	Variable		Point	Expression
8.0ms	y	@	inf	((+ (* (* z 2) (/ y (+ (* -2 (* z z)) (* t y)))) x) (* z 2) (/ y (+ (* -2 (* z z)) (* t y))) (+ (* -2 (* z z)) (* t y)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ z t) 2) (/ z t) (+ (* 2 (* y (/ z (+ (* -2 (* z z)) (* t y))))) x) (* y (/ z (+ (* -2 (* z z)) (* t y)))) (/ z (+ (* -2 (* z z)) (* t y))) (/ -1/2 z) (+ (* -2 (/ (* z y) (- (* (* z 2) z) (* y t)))) x) (/ (* z y) (- (* (* z 2) z) (* y t))) (* z y) (- (* (* z 2) z) (* y 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))) (* t y) (* (* z z) 2) (+ (* (* -2 z) z) (* t y)))
6.0ms	z	@	-inf	((+ (* (* z 2) (/ y (+ (* -2 (* z z)) (* t y)))) x) (* z 2) (/ y (+ (* -2 (* z z)) (* t y))) (+ (* -2 (* z z)) (* t y)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ z t) 2) (/ z t) (+ (* 2 (* y (/ z (+ (* -2 (* z z)) (* t y))))) x) (* y (/ z (+ (* -2 (* z z)) (* t y)))) (/ z (+ (* -2 (* z z)) (* t y))) (/ -1/2 z) (+ (* -2 (/ (* z y) (- (* (* z 2) z) (* y t)))) x) (/ (* z y) (- (* (* z 2) z) (* y t))) (* z y) (- (* (* z 2) z) (* y 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))) (* t y) (* (* z z) 2) (+ (* (* -2 z) z) (* t y)))
3.0ms	z	@	inf	((+ (* (* z 2) (/ y (+ (* -2 (* z z)) (* t y)))) x) (* z 2) (/ y (+ (* -2 (* z z)) (* t y))) (+ (* -2 (* z z)) (* t y)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ z t) 2) (/ z t) (+ (* 2 (* y (/ z (+ (* -2 (* z z)) (* t y))))) x) (* y (/ z (+ (* -2 (* z z)) (* t y)))) (/ z (+ (* -2 (* z z)) (* t y))) (/ -1/2 z) (+ (* -2 (/ (* z y) (- (* (* z 2) z) (* y t)))) x) (/ (* z y) (- (* (* z 2) z) (* y t))) (* z y) (- (* (* z 2) z) (* y 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))) (* t y) (* (* z z) 2) (+ (* (* -2 z) z) (* t y)))
2.0ms	z	@	0	((+ (* (* z 2) (/ y (+ (* -2 (* z z)) (* t y)))) x) (* z 2) (/ y (+ (* -2 (* z z)) (* t y))) (+ (* -2 (* z z)) (* t y)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ z t) 2) (/ z t) (+ (* 2 (* y (/ z (+ (* -2 (* z z)) (* t y))))) x) (* y (/ z (+ (* -2 (* z z)) (* t y)))) (/ z (+ (* -2 (* z z)) (* t y))) (/ -1/2 z) (+ (* -2 (/ (* z y) (- (* (* z 2) z) (* y t)))) x) (/ (* z y) (- (* (* z 2) z) (* y t))) (* z y) (- (* (* z 2) z) (* y 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))) (* t y) (* (* z z) 2) (+ (* (* -2 z) z) (* t y)))
2.0ms	y	@	-inf	((+ (* (* z 2) (/ y (+ (* -2 (* z z)) (* t y)))) x) (* z 2) (/ y (+ (* -2 (* z z)) (* t y))) (+ (* -2 (* z z)) (* t y)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ z t) 2) (/ z t) (+ (* 2 (* y (/ z (+ (* -2 (* z z)) (* t y))))) x) (* y (/ z (+ (* -2 (* z z)) (* t y)))) (/ z (+ (* -2 (* z z)) (* t y))) (/ -1/2 z) (+ (* -2 (/ (* z y) (- (* (* z 2) z) (* y t)))) x) (/ (* z y) (- (* (* z 2) z) (* y t))) (* z y) (- (* (* z 2) z) (* y 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))) (* t y) (* (* z z) 2) (+ (* (* -2 z) z) (* t y)))

simplify215.0ms (2.5%)

Memory

8.6MiB live, 239.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8 976×	`lower-fma.f64`
8 976×	`lower-fma.f32`
6 140×	`lower-*.f64`
6 140×	`lower-*.f32`
3 442×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	913	10960
1	2841	10826
0	8378	10207

Stop Event

1×	iter limit
1×	node limit

Counts

744 → 699

Calls

Call 1

Inputs
(+ 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)))))))))
(* -1/2 (/ y (pow z 2)))
(+ (* -1/2 (/ y (pow z 2))) (* -1/4 (/ (* t (pow y 2)) (pow z 4))))
(+ (* -1/2 (/ y (pow z 2))) (* t (- (* -1/8 (/ (* t (pow y 3)) (pow z 6))) (* 1/4 (/ (pow y 2) (pow z 4))))))
(+ (* -1/2 (/ y (pow z 2))) (* t (- (* t (- (* -1/16 (/ (* t (pow y 4)) (pow z 8))) (* 1/8 (/ (pow y 3) (pow z 6))))) (* 1/4 (/ (pow y 2) (pow z 4))))))
(* -2 (pow z 2))
(+ (* -2 (pow z 2)) (* t y))
(+ (* -2 (pow z 2)) (* t y))
(+ (* -2 (pow z 2)) (* t y))
(- 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 (* -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)))))))))
(* -1/2 (/ y z))
(+ (* -1/2 (/ y z)) (* -1/4 (/ (* t (pow y 2)) (pow z 3))))
(+ (* -1/2 (/ y z)) (* t (- (* -1/8 (/ (* t (pow y 3)) (pow z 5))) (* 1/4 (/ (pow y 2) (pow z 3))))))
(+ (* -1/2 (/ y z)) (* t (- (* t (- (* -1/16 (/ (* t (pow y 4)) (pow z 7))) (* 1/8 (/ (pow y 3) (pow z 5))))) (* 1/4 (/ (pow y 2) (pow z 3))))))
(/ -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 (* -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)))))))))
(* 1/2 (/ y z))
(+ (* 1/4 (/ (* t (pow y 2)) (pow z 3))) (* 1/2 (/ y z)))
(+ (* 1/2 (/ y z)) (* t (- (* 1/8 (/ (* t (pow y 3)) (pow z 5))) (* -1/4 (/ (pow y 2) (pow z 3))))))
(+ (* 1/2 (/ y z)) (* t (- (* t (- (* 1/16 (/ (* t (pow y 4)) (pow z 7))) (* -1/8 (/ (pow y 3) (pow z 5))))) (* -1/4 (/ (pow y 2) (pow z 3))))))
(* 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))
(* -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)))
(* t y)
(* t y)
(* t y)
(* 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 (+ (* 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)
(/ (+ 1 (* 2 (/ (pow z 2) (* t y)))) t)
(/ (- (+ 1 (* 4 (/ (pow z 4) (* (pow t 2) (pow y 2))))) (* -2 (/ (pow z 2) (* t y)))) t)
(/ (- (+ 1 (* 8 (/ (pow z 6) (* (pow t 3) (pow y 3))))) (+ (* -4 (/ (pow z 4) (* (pow t 2) (pow y 2)))) (* -2 (/ (pow z 2) (* t y))))) t)
(* t y)
(* t (+ y (* -2 (/ (pow z 2) t))))
(* t (+ y (* -2 (/ (pow z 2) t))))
(* t (+ 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))))
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))
(/ z t)
(/ z t)
(/ z t)
(/ z 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)))))))
(/ z t)
(/ (+ z (* 2 (/ (pow z 3) (* t y)))) t)
(/ (- (+ z (* 4 (/ (pow z 5) (* (pow t 2) (pow y 2))))) (* -2 (/ (pow z 3) (* t y)))) t)
(/ (- (+ z (* 8 (/ (pow z 7) (* (pow t 3) (pow y 3))))) (+ (* -4 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (* -2 (/ (pow z 3) (* t y))))) 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)
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 (/ z t))
(/ (+ (* -2 (/ (pow z 3) (* t y))) (* -1 z)) t)
(/ (- (+ (* -4 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (* -1 z)) (* 2 (/ (pow z 3) (* t y)))) t)
(/ (- (+ (* -8 (/ (pow z 7) (* (pow t 3) (pow y 3)))) (* -1 z)) (+ (* 2 (/ (pow z 3) (* t y))) (* 4 (/ (pow z 5) (* (pow t 2) (pow y 2)))))) 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))
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)
(* t y)
(* t y)
(* t y)
(* t y)
(* t y)
(* t (+ y (* -2 (/ (pow z 2) t))))
(* t (+ y (* -2 (/ (pow z 2) t))))
(* 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 (/ (+ (* -2 z) (* -1 (/ (+ (* 4 (/ (pow z 3) y)) (* 8 (/ (pow z 5) (* t (pow y 2))))) t))) t)))
(/ 1 t)
(* -1 (/ (- (* -2 (/ (pow z 2) (* t y))) 1) t))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ (pow z 4) (* t (pow y 2)))) (* -2 (/ (pow z 2) y))) t)) 1) t))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -8 (/ (pow z 6) (* t (pow y 3)))) (* 4 (/ (pow z 4) (pow y 2)))) t)) (* -2 (/ (pow z 2) y))) 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)))))
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))
(/ 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 (/ (+ (* -2 z) (* -1 (/ (+ (* 4 (/ (pow z 3) y)) (* 8 (/ (pow z 5) (* t (pow y 2))))) t))) t)))
(/ z t)
(* -1 (/ (+ (* -2 (/ (pow z 3) (* t y))) (* -1 z)) t))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* 4 (/ (pow z 5) (* t (pow y 2)))) (* -2 (/ (pow z 3) y))) t))) t))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (* -8 (/ (pow z 7) (* t (pow y 3)))) (* 4 (/ (pow z 5) (pow y 2)))) t)) (* -2 (/ (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))
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 (/ z t))
(* -1 (/ (+ z (* 2 (/ (pow z 3) (* t y)))) t))
(* -1 (/ (+ z (* -1 (/ (- (* -4 (/ (pow z 5) (* t (pow y 2)))) (* 2 (/ (pow z 3) y))) t))) t))
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 7) (* t (pow y 3)))) (* -4 (/ (pow z 5) (pow y 2)))) t)) (* 2 (/ (pow z 3) y))) t))) 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))))
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))
(* t y)
(* t y)
(* t y)
(* t y)
(* 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)))))
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)
(+ (* 2 (/ (pow z 2) (* (pow t 2) y))) (/ 1 t))
(+ (* (pow z 2) (+ (* 4 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 2 (/ 1 (* (pow t 2) y))))) (/ 1 t))
(+ (* (pow z 2) (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 4) (pow y 3)))) (* 4 (/ 1 (* (pow t 3) (pow y 2)))))) (* 2 (/ 1 (* (pow t 2) y))))) (/ 1 t))
(* t y)
(+ (* -2 (pow z 2)) (* t y))
(+ (* -2 (pow z 2)) (* t y))
(+ (* -2 (pow z 2)) (* 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)))))
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))
(/ z t)
(/ z t)
(/ z t)
(/ z t)
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)))))
(/ z t)
(* z (+ (* 2 (/ (pow z 2) (* (pow t 2) y))) (/ 1 t)))
(* z (+ (* (pow z 2) (+ (* 4 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 2 (/ 1 (* (pow t 2) y))))) (/ 1 t)))
(* z (+ (* (pow z 2) (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 4) (pow y 3)))) (* 4 (/ 1 (* (pow t 3) (pow y 2)))))) (* 2 (/ 1 (* (pow t 2) y))))) (/ 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))))
(/ -1/2 z)
(/ -1/2 z)
(/ -1/2 z)
(/ -1/2 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)))))
(* -1 (/ 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 t)
(+ (* 2 (/ (pow z 2) (* (pow t 2) y))) (/ 1 t))
(+ (* -1 (/ (- (* -4 (/ (pow z 4) (* (pow t 3) y))) (* 2 (/ (pow z 2) (pow t 2)))) y)) (/ 1 t))
(+ (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 6) (* (pow t 4) y))) (* -4 (/ (pow z 4) (pow t 3)))) y)) (* 2 (/ (pow z 2) (pow t 2)))) y)) (/ 1 t))
(* t y)
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(* -1 (* y (+ (* -1 t) (* 2 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 t) (* 2 (/ (pow z 2) y)))))
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(- (+ 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)))
(+ 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 (/ (+ (* -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))))
(/ z t)
(+ (* 2 (/ (pow z 3) (* (pow t 2) y))) (/ z t))
(+ (* -1 (/ (+ (* -4 (/ (pow z 5) (* (pow t 3) y))) (* -2 (/ (pow z 3) (pow t 2)))) y)) (/ z t))
(+ (* -1 (/ (+ (* -2 (/ (pow z 3) (pow t 2))) (* -1 (/ (+ (* 4 (/ (pow z 5) (pow t 3))) (* 8 (/ (pow z 7) (* (pow t 4) y)))) y))) y)) (/ z t))
(/ z (* t y))
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(* -1 (/ (+ (* -1 (/ z t)) (* -1 (/ (- (* 4 (/ (pow z 5) (* (pow t 3) y))) (* -2 (/ (pow z 3) (pow t 2)))) y))) y))
(* -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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(+ (* -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)))
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(* 2 y)
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x
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x
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x
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(* -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)))
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x
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
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(* -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)))
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Outputs
(+ 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 t #s(literal -1/2 binary64)) (.f64 y (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (-.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)))))))
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(+ 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)))))))))
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(* -1/2 (/ y (pow z 2)))
(*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64))
(+ (* -1/2 (/ y (pow z 2))) (* -1/4 (/ (* t (pow y 2)) (pow z 4))))
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(+ (* -1/2 (/ y (pow z 2))) (* t (- (* -1/8 (/ (* t (pow y 3)) (pow z 6))) (* 1/4 (/ (pow y 2) (pow z 4))))))
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(* -2 (pow z 2))
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(+ (* -2 (pow z 2)) (* t y))
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(- x (/ y z))
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(* 2 (/ z t))
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(/ (+ (* 2 z) (* t x)) t)
(/.f64 (fma.f64 #s(literal 2 binary64) z (*.f64 t x)) t)
(/ (+ (* 2 z) (* t x)) t)
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(/ z t)
(/.f64 z t)
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(/ z t)
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(+ 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 t #s(literal -1/2 binary64)) (.f64 y (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (-.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)))))))
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(+ 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 (.f64 y y) #s(literal -1/2 binary64)) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z)))
(* -1/2 (/ y z))
(*.f64 #s(literal -1/2 binary64) (/.f64 y z))
(+ (* -1/2 (/ y z)) (* -1/4 (/ (* t (pow y 2)) (pow z 3))))
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(+ (* -1/2 (/ y z)) (* t (- (* t (- (* -1/16 (/ (* t (pow y 4)) (pow z 7))) (* 1/8 (/ (pow y 3) (pow z 5))))) (* 1/4 (/ (pow y 2) (pow z 3))))))
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(/ -1/2 z)
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(+ 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 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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(* 1/2 (/ y z))
(*.f64 (/.f64 #s(literal 1/2 binary64) z) y)
(+ (* 1/4 (/ (* t (pow y 2)) (pow z 3))) (* 1/2 (/ y z)))
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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)))
(fma.f64 (/.f64 #s(literal 2 binary64) t) z (-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (/.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 (*.f64 (pow.f64 z #s(literal 5 binary64)) #s(literal 8 binary64)) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 y))) y)))
(* 2 (/ z t))
(*.f64 (/.f64 z t) #s(literal 2 binary64))
(+ (* 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) (.f64 (/.f64 z t) #s(literal 2 binary64)))
(+ (* -1 (/ (+ (* -8 (/ (pow z 5) (* (pow t 3) y))) (* -4 (/ (pow z 3) (pow t 2)))) y)) (* 2 (/ z t)))
(fma.f64 (/.f64 #s(literal 2 binary64) t) z (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (*.f64 (/.f64 #s(literal -8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 5 binary64)) y))) (neg.f64 y)))
(+ (* -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)))
(fma.f64 (/.f64 #s(literal 2 binary64) t) z (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (/.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 (*.f64 (pow.f64 z #s(literal 5 binary64)) #s(literal 8 binary64)) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 y))) (neg.f64 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)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(/ z (* t y))
(/.f64 (/.f64 z t) y)
(* -1 (/ (+ (* -2 (/ (pow z 3) (* (pow t 2) y))) (* -1 (/ z t))) y))
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 t t)) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (/.f64 (neg.f64 z) t)) (neg.f64 y))
(* -1 (/ (+ (* -1 (/ z t)) (* -1 (/ (- (* 4 (/ (pow z 5) (* (pow t 3) y))) (* -2 (/ (pow z 3) (pow t 2)))) y))) y))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 5 binary64)) y) (.f64 (/.f64 #s(literal 2 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) t))) y) (/.f64 z t))) y)
(* -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))
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) t) #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -8 binary64) (pow.f64 t #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 7 binary64)) y) (/.f64 (*.f64 (pow.f64 z #s(literal 5 binary64)) #s(literal -4 binary64)) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 y))) (neg.f64 y)) (/.f64 z t)) (neg.f64 y))
(* t y)
(*.f64 t y)
(* t y)
(*.f64 t y)
(* t y)
(*.f64 t y)
(* t y)
(*.f64 t y)
(* t y)
(*.f64 t y)
(* -1 (* y (+ (* -1 t) (* 2 (/ (pow z 2) y)))))
(.f64 (fma.f64 (.f64 z (/.f64 z y)) #s(literal 2 binary64) (neg.f64 t)) (neg.f64 y))
(* -1 (* y (+ (* -1 t) (* 2 (/ (pow z 2) y)))))
(.f64 (fma.f64 (.f64 z (/.f64 z y)) #s(literal 2 binary64) (neg.f64 t)) (neg.f64 y))
(* -1 (* y (+ (* -1 t) (* 2 (/ (pow z 2) y)))))
(.f64 (fma.f64 (.f64 z (/.f64 z y)) #s(literal 2 binary64) (neg.f64 t)) (neg.f64 y))
(* 2 (/ (* y z) (+ (* -2 (pow z 2)) (* t y))))
(.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 #s(literal -2 binary64) (.f64 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 #s(literal -2 binary64) (.f64 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 #s(literal -2 binary64) (.f64 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 #s(literal -2 binary64) (.f64 z z) (*.f64 t y))) 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 #s(literal 2 binary64) z) z))))
(- 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 #s(literal 2 binary64) z) z))) 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 #s(literal 2 binary64) z) z))) 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 #s(literal 2 binary64) z) z))) 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)
(* 2 (/ (* y z) (+ (* -2 (pow z 2)) (* t y))))
(.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 #s(literal -2 binary64) (.f64 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 #s(literal -2 binary64) (.f64 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 #s(literal -2 binary64) (.f64 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 #s(literal -2 binary64) (.f64 z z) (*.f64 t y))) 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 #s(literal 2 binary64) z) z))))
(+ 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 #s(literal 2 binary64) z) z))) 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 #s(literal 2 binary64) z) z))) 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 #s(literal 2 binary64) z) z))) 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 #s(literal 2 binary64) z) z))))
(- 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 #s(literal 2 binary64) z) z))) 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 #s(literal 2 binary64) z) z))) 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 #s(literal 2 binary64) z) 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 z x) (/.f64 y (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)))) x)
(* x (+ 1 (* 2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y)))))))
(fma.f64 (.f64 x #s(literal 2 binary64)) (.f64 (/.f64 z x) (/.f64 y (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)))) x)
(* x (+ 1 (* 2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y)))))))
(fma.f64 (.f64 x #s(literal 2 binary64)) (.f64 (/.f64 z x) (/.f64 y (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)))) 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 #s(literal 2 binary64) z) z))) (/.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 #s(literal 2 binary64) z) z))) (/.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 #s(literal 2 binary64) z) z))) (/.f64 z x)) x)
x
(* x (+ 1 (* 2 (/ z (* t x)))))
(*.f64 (fma.f64 (/.f64 (/.f64 z t) x) #s(literal 2 binary64) #s(literal 1 binary64)) x)
(* x (+ 1 (* 2 (/ z (* t x)))))
(*.f64 (fma.f64 (/.f64 (/.f64 z t) x) #s(literal 2 binary64) #s(literal 1 binary64)) x)
(* x (+ 1 (* 2 (/ z (* t x)))))
(*.f64 (fma.f64 (/.f64 (/.f64 z t) x) #s(literal 2 binary64) #s(literal 1 binary64)) x)
x
(* x (+ 1 (* 2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y)))))))
(fma.f64 (.f64 x #s(literal 2 binary64)) (.f64 (/.f64 z x) (/.f64 y (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)))) x)
(* x (+ 1 (* 2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y)))))))
(fma.f64 (.f64 x #s(literal 2 binary64)) (.f64 (/.f64 z x) (/.f64 y (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)))) x)
(* x (+ 1 (* 2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y)))))))
(fma.f64 (.f64 x #s(literal 2 binary64)) (.f64 (/.f64 z x) (/.f64 y (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)))) 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 #s(literal 2 binary64) z) z))) (/.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 #s(literal 2 binary64) z) z))) (/.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 #s(literal 2 binary64) z) z))) (/.f64 z x)) 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 #s(literal 2 binary64) z) z))) (/.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 #s(literal 2 binary64) z) z))) (/.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 #s(literal 2 binary64) z) z))) (/.f64 z x)) x)
x
(* -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 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) #s(literal -1 binary64)))
(* -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 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) #s(literal -1 binary64)))
(* -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 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) #s(literal -1 binary64)))
x
(* -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 #s(literal 2 binary64) z) z))) #s(literal -1 binary64)))
(* -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 #s(literal 2 binary64) z) z))) #s(literal -1 binary64)))
(* -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 #s(literal 2 binary64) z) z))) #s(literal -1 binary64)))
x
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (/.f64 z t) x) #s(literal -2 binary64) #s(literal -1 binary64)))
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (/.f64 z t) x) #s(literal -2 binary64) #s(literal -1 binary64)))
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (/.f64 z t) x) #s(literal -2 binary64) #s(literal -1 binary64)))
x
(* -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 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) #s(literal -1 binary64)))
(* -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 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) #s(literal -1 binary64)))
(* -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 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) #s(literal -1 binary64)))
x
(* -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 #s(literal 2 binary64) z) z))) #s(literal -1 binary64)))
(* -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 #s(literal 2 binary64) z) z))) #s(literal -1 binary64)))
(* -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 #s(literal 2 binary64) z) z))) #s(literal -1 binary64)))
x
(* -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 #s(literal 2 binary64) z) z))) #s(literal -1 binary64)))
(* -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 #s(literal 2 binary64) z) z))) #s(literal -1 binary64)))
(* -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 #s(literal 2 binary64) z) z))) #s(literal -1 binary64)))

rewrite181.0ms (2.1%)

Memory

5.5MiB live, 230.0MiB allocated

Rules

6 162×	`lower-fma.f32`
6 152×	`lower-fma.f64`
4 956×	`lower-/.f32`
4 946×	`lower-/.f64`
4 936×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	274
0	73	274
1	276	274
2	1725	274
0	8545	270

Stop Event

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

Counts

23 → 497

Calls

Call 1

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

Outputs
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eval208.0ms (2.4%)

Memory: 8.4MiB live, 403.7MiB allocated
Compiler: Compiled 25 611 to 2 679 computations (89.5% saved)

prune33.0ms (0.4%)

Memory

14.6MiB live, 92.0MiB allocated

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	1 218	4	1 222
Fresh	0	0	0
Picked	3	2	5
Done	0	2	2
Total	1 221	8	1 229

Accuracy

100.0%

Counts

1 229 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.4%	(fma.f64 (.f64 y #s(literal 2 binary64)) #s(approx (/ z (+ ( -2 (* z z)) (* t y))) (/.f64 #s(literal -1/2 binary64) z)) x)
✓	63.4%	(fma.f64 #s(literal 2 binary64) (.f64 y #s(approx (/ z (+ ( -2 (* z z)) (* t y))) (/.f64 #s(literal -1/2 binary64) z))) x)
✓	63.4%	(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
✓	64.8%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x))
▶	19.3%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (.f64 (/.f64 y (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y))) (.f64 #s(literal 2 binary64) z)))
✓	13.2%	#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))))
▶	13.2%	#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)))

Compiler

Compiled 66 to 74 computations (-12.1% saved)

simplify130.0ms (1.5%)

Memory

-8.9MiB live, 37.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

1 560×	`lower-fma.f32`
1 556×	`lower-fma.f64`
1 176×	`lower-*.f32`
1 164×	`lower-*.f64`
1 152×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	245
0	63	241
1	111	241
2	183	241
3	318	238
4	524	238
5	845	238
6	1836	238
7	2802	238
8	3237	238
9	3371	238
10	3420	238
11	3439	238
12	3479	238
13	3528	238
14	3612	238
15	3612	238
16	3652	238
17	3941	238
0	3941	233

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

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

localize95.0ms (1.1%)

Memory

-16.3MiB live, 151.2MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal -1/2 binary64) z)
accuracy	0	(*.f64 y #s(literal 2 binary64))
accuracy	0.9720069164001703	(fma.f64 (.f64 y #s(literal 2 binary64)) #s(approx (/ z (+ ( -2 (* z z)) (* t y))) (/.f64 #s(literal -1/2 binary64) z)) x)
accuracy	30.883703763437047	#s(approx (/ z (+ (* -2 (* z z)) (* t y))) (/.f64 #s(literal -1/2 binary64) z))
accuracy	0.49999587166041165	(fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y))
accuracy	6.912388029290397	(.f64 (/.f64 y (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y))) (.f64 #s(literal 2 binary64) z))
accuracy	10.794133087669183	(/.f64 y (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y)))
accuracy	47.864629584685794	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (.f64 (/.f64 y (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y))) (.f64 #s(literal 2 binary64) z)))
accuracy	0	(/.f64 #s(literal 2 binary64) t)
accuracy	0.17578125	(*.f64 (/.f64 #s(literal 2 binary64) t) z)
accuracy	22.533363494328487	#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	33.32749688503578	#s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))
accuracy	0	(/.f64 (neg.f64 y) z)
accuracy	0	(neg.f64 y)
accuracy	30.881270187951795	#s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z))
accuracy	47.864629584685794	#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

68.0ms

256×

valid

Compiler

Compiled 182 to 41 computations (77.5% saved)

Precisions

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

ival-mult: 30.0ms (57.9% of total)

ival-div: 11.0ms (21.2% of total)

ival-add: 5.0ms (9.6% of total)

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

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

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

exact: 0.0ms (0% of total)

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

series37.0ms (0.4%)

Memory

-9.3MiB live, 67.8MiB allocated

Counts

16 → 504

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

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

Calls

12 calls:

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

simplify207.0ms (2.4%)

Memory

26.4MiB live, 213.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8 660×	`lower-fma.f64`
8 660×	`lower-fma.f32`
6 276×	`lower-*.f64`
6 276×	`lower-*.f32`
2 708×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	704	7614
1	2171	7521
2	6549	7428
0	8382	6991

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 467

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 (/ 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 (/ y (pow z 2)))
(+ (* -1/2 (/ y (pow z 2))) (* -1/4 (/ (* t (pow y 2)) (pow z 4))))
(+ (* -1/2 (/ y (pow z 2))) (* t (- (* -1/8 (/ (* t (pow y 3)) (pow z 6))) (* 1/4 (/ (pow y 2) (pow z 4))))))
(+ (* -1/2 (/ y (pow z 2))) (* t (- (* t (- (* -1/16 (/ (* t (pow y 4)) (pow z 8))) (* 1/8 (/ (pow y 3) (pow z 6))))) (* 1/4 (/ (pow y 2) (pow z 4))))))
(* -2 (pow z 2))
(+ (* -2 (pow z 2)) (* t y))
(+ (* -2 (pow z 2)) (* t y))
(+ (* -2 (pow z 2)) (* t y))
(+ 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)))))))))
(/ -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
(+ 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 (* 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)
(/ 1 t)
(/ (+ 1 (* 2 (/ (pow z 2) (* t y)))) t)
(/ (- (+ 1 (* 4 (/ (pow z 4) (* (pow t 2) (pow y 2))))) (* -2 (/ (pow z 2) (* t y)))) t)
(/ (- (+ 1 (* 8 (/ (pow z 6) (* (pow t 3) (pow y 3))))) (+ (* -4 (/ (pow z 4) (* (pow t 2) (pow y 2)))) (* -2 (/ (pow z 2) (* t y))))) t)
(* t y)
(* t (+ y (* -2 (/ (pow z 2) t))))
(* t (+ y (* -2 (/ (pow z 2) t))))
(* t (+ y (* -2 (/ (pow z 2) 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)))))))
(/ 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)
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)
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))
(/ 1 t)
(* -1 (/ (- (* -2 (/ (pow z 2) (* t y))) 1) t))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ (pow z 4) (* t (pow y 2)))) (* -2 (/ (pow z 2) y))) t)) 1) t))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -8 (/ (pow z 6) (* t (pow y 3)))) (* 4 (/ (pow z 4) (pow y 2)))) t)) (* -2 (/ (pow z 2) y))) 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)))))
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)))
(/ 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))
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 (/ 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)))))
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))
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 t)
(+ (* 2 (/ (pow z 2) (* (pow t 2) y))) (/ 1 t))
(+ (* (pow z 2) (+ (* 4 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 2 (/ 1 (* (pow t 2) y))))) (/ 1 t))
(+ (* (pow z 2) (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 4) (pow y 3)))) (* 4 (/ 1 (* (pow t 3) (pow y 2)))))) (* 2 (/ 1 (* (pow t 2) y))))) (/ 1 t))
(* t y)
(+ (* -2 (pow z 2)) (* t y))
(+ (* -2 (pow z 2)) (* t y))
(+ (* -2 (pow z 2)) (* 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)))))
(/ 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))))
(/ -1/2 z)
(/ -1/2 z)
(/ -1/2 z)
(/ -1/2 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 (/ 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)))
(* 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))
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)
(* -1/2 (/ y (pow z 2)))
(/ (+ (* -1/2 y) (* -1/4 (/ (* t (pow y 2)) (pow z 2)))) (pow z 2))
(/ (- (+ (* -1/2 y) (* -1/8 (/ (* (pow t 2) (pow y 3)) (pow z 4)))) (* 1/4 (/ (* t (pow y 2)) (pow z 2)))) (pow z 2))
(/ (- (+ (* -1/2 y) (* -1/16 (/ (* (pow t 3) (pow y 4)) (pow z 6)))) (+ (* 1/8 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/4 (/ (* t (pow y 2)) (pow z 2))))) (pow z 2))
(* -2 (pow z 2))
(* (pow z 2) (- (/ (* t y) (pow z 2)) 2))
(* (pow z 2) (- (/ (* t y) (pow z 2)) 2))
(* (pow z 2) (- (/ (* t y) (pow z 2)) 2))
x
(+ x (* -1 (/ y z)))
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(/ -1/2 z)
(/ (- (* -1/4 (/ (* t y) (pow z 2))) 1/2) z)
(/ (- (* -1/8 (/ (* (pow t 2) (pow y 2)) (pow z 4))) (+ 1/2 (* 1/4 (/ (* t y) (pow z 2))))) z)
(/ (- (* -1/16 (/ (* (pow t 3) (pow y 3)) (pow z 6))) (+ 1/2 (+ (* 1/8 (/ (* (pow t 2) (pow y 2)) (pow z 4))) (* 1/4 (/ (* t y) (pow z 2)))))) z)
(/ -1/2 z)
(/ -1/2 z)
(/ -1/2 z)
(/ -1/2 z)
x
(+ x (* -1 (/ y z)))
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(+ 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)))
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(* -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 (/ y z))
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(+ 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)))))
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(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
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))
(* -1/2 (/ y (pow z 2)))
(/ (+ (* -1/2 y) (* -1/4 (/ (* t (pow y 2)) (pow z 2)))) (pow z 2))
(/ (- (+ (* -1/2 y) (* -1/8 (/ (* (pow t 2) (pow y 3)) (pow z 4)))) (* 1/4 (/ (* t (pow y 2)) (pow z 2)))) (pow z 2))
(/ (- (+ (* -1/2 y) (* -1/16 (/ (* (pow t 3) (pow y 4)) (pow z 6)))) (+ (* 1/8 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/4 (/ (* t (pow y 2)) (pow z 2))))) (pow z 2))
(* -2 (pow z 2))
(* (pow z 2) (- (/ (* t y) (pow z 2)) 2))
(* (pow z 2) (- (/ (* t y) (pow z 2)) 2))
(* (pow z 2) (- (/ (* t y) (pow z 2)) 2))
x
(+ x (* -1 (/ y z)))
(+ x (* -1 (/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z)))
(+ x (* -1 (/ (+ y (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2))))) z)))
(/ -1/2 z)
(* -1 (/ (+ 1/2 (* 1/4 (/ (* t y) (pow z 2)))) z))
(* -1 (/ (- (+ 1/2 (* 1/8 (/ (* (pow t 2) (pow y 2)) (pow z 4)))) (* -1/4 (/ (* t y) (pow z 2)))) z))
(* -1 (/ (- (+ 1/2 (* 1/16 (/ (* (pow t 3) (pow y 3)) (pow z 6)))) (+ (* -1/4 (/ (* t y) (pow z 2))) (* -1/8 (/ (* (pow t 2) (pow y 2)) (pow z 4))))) z))
(/ -1/2 z)
(/ -1/2 z)
(/ -1/2 z)
(/ -1/2 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)))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 (/ y z))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
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))))
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)))
(* -1/2 (/ y (pow z 2)))
(* y (- (* -1/4 (/ (* t y) (pow z 4))) (* 1/2 (/ 1 (pow z 2)))))
(* y (- (* y (- (* -1/8 (/ (* (pow t 2) y) (pow z 6))) (* 1/4 (/ t (pow z 4))))) (* 1/2 (/ 1 (pow z 2)))))
(* y (- (* y (- (* y (- (* -1/16 (/ (* (pow t 3) y) (pow z 8))) (* 1/8 (/ (pow t 2) (pow z 6))))) (* 1/4 (/ t (pow z 4))))) (* 1/2 (/ 1 (pow z 2)))))
(* -2 (pow z 2))
(+ (* -2 (pow z 2)) (* t y))
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Outputs
(- x (/ y z))
(-.f64 x (/.f64 y z))
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(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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(-.f64 (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) (/.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 (*.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 5 binary64))) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 y))) 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)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(/ z (* t y))
(/.f64 (/.f64 z y) t)
(* -1 (/ (+ (* -2 (/ (pow z 3) (* (pow t 2) y))) (* -1 (/ z t))) y))
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 t t)) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (/.f64 z (neg.f64 t))) (neg.f64 y))
(* -1 (/ (+ (* -1 (/ z t)) (* -1 (/ (- (* 4 (/ (pow z 5) (* (pow t 3) y))) (* -2 (/ (pow z 3) (pow t 2)))) y))) y))
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 5 binary64)) y) (*.f64 (/.f64 #s(literal 2 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) t))) y) (/.f64 z t)) y)
(* -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))
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) t) #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -8 binary64) (pow.f64 t #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 7 binary64)) y) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 z #s(literal 5 binary64))) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 y))) y) (/.f64 z t)) y)
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))
(.f64 (.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 t) y (.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 t) y (.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 t) y (.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 t) y (.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 t) y (.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 t) y (.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 t) y (.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 t) y (.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)
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))
(.f64 (.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 t) y (.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 t) y (.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 t) y (.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 t) y (.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 #s(literal -2 binary64) (.f64 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 #s(literal -2 binary64) (.f64 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 #s(literal -2 binary64) (.f64 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 #s(literal -2 binary64) (.f64 z z) (*.f64 t y))) 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 t) y (.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 t) y (.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 t) y (.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)))))))
(fma.f64 (.f64 x #s(literal -2 binary64)) (.f64 (/.f64 y (fma.f64 (neg.f64 t) y (.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 t) y (.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 t) y (.f64 (.f64 z z) #s(literal 2 binary64)))) (/.f64 z x)) x)
x
(* x (+ 1 (* 2 (/ z (* t x)))))
(*.f64 (fma.f64 (/.f64 (/.f64 z t) x) #s(literal 2 binary64) #s(literal 1 binary64)) x)
(* x (+ 1 (* 2 (/ z (* t x)))))
(*.f64 (fma.f64 (/.f64 (/.f64 z t) x) #s(literal 2 binary64) #s(literal 1 binary64)) x)
(* x (+ 1 (* 2 (/ z (* t x)))))
(*.f64 (fma.f64 (/.f64 (/.f64 z t) x) #s(literal 2 binary64) #s(literal 1 binary64)) 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 t) y (.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 t) y (.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 t) y (.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)))))))
(fma.f64 (.f64 x #s(literal 2 binary64)) (.f64 (/.f64 y (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) (/.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 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) (/.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 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) (/.f64 z x)) x)
x
(* -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 t) y (.f64 (.f64 z z) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(* -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 t) y (.f64 (.f64 z z) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(* -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 t) y (.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)))
(.f64 (neg.f64 x) (fma.f64 (.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 z (fma.f64 (neg.f64 t) y (.f64 (.f64 z z) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(* -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 t) y (.f64 (.f64 z z) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(* -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 t) y (.f64 (.f64 z z) #s(literal 2 binary64)))) #s(literal -1 binary64)))
x
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (/.f64 z t) x) #s(literal -2 binary64) #s(literal -1 binary64)))
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (/.f64 z t) x) #s(literal -2 binary64) #s(literal -1 binary64)))
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (/.f64 z t) x) #s(literal -2 binary64) #s(literal -1 binary64)))
x
(* -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 t) y (.f64 (.f64 z z) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(* -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 t) y (.f64 (.f64 z z) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(* -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 t) y (.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)))
(.f64 (neg.f64 x) (fma.f64 (.f64 #s(literal -2 binary64) (/.f64 y x)) (/.f64 z (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) #s(literal -1 binary64)))
(* -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 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) #s(literal -1 binary64)))
(* -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 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) #s(literal -1 binary64)))

rewrite221.0ms (2.5%)

Memory

10.2MiB live, 169.6MiB allocated

Rules

9 718×	`lower-fma.f32`
9 714×	`lower-fma.f64`
4 670×	`lower-*.f32`
4 658×	`lower-*.f64`
3 854×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	221
0	63	217
1	249	217
2	1349	217
0	8571	212

Stop Event

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

Counts

16 → 283

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

Outputs
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#<batchref>

eval574.0ms (6.6%)

Memory: 5.2MiB live, 161.8MiB allocated
Compiler: Compiled 14 286 to 1 751 computations (87.7% saved)

prune214.0ms (2.4%)

Memory

-30.0MiB live, 56.3MiB allocated

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	749	1	750
Fresh	0	0	0
Picked	0	4	4
Done	0	4	4
Total	749	9	758

Accuracy

100.0%

Counts

758 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	63.4%	(fma.f64 (.f64 y #s(literal 2 binary64)) #s(approx (/ z (+ ( -2 (* z z)) (* t y))) (/.f64 #s(literal -1/2 binary64) z)) x)
✓	63.4%	(fma.f64 #s(literal 2 binary64) (.f64 y #s(approx (/ z (+ ( -2 (* z z)) (* t y))) (/.f64 #s(literal -1/2 binary64) z))) x)
✓	63.4%	(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
✓	64.8%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x))
✓	19.3%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (.f64 (/.f64 y (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y))) (.f64 #s(literal 2 binary64) z)))
✓	13.2%	#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))))
✓	13.2%	#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)))
	14.4%	#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 243 to 154 computations (36.6% saved)

regimes122.0ms (1.4%)

Memory

18.2MiB live, 57.2MiB allocated

Counts

16 → 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))))
(fma.f64 #s(literal 2 binary64) (.f64 y #s(approx (/ z (+ ( -2 (* z z)) (* t y))) (/.f64 #s(literal -1/2 binary64) z))) x)
(fma.f64 (.f64 y #s(literal 2 binary64)) #s(approx (/ z (+ ( -2 (* z z)) (* t y))) (/.f64 #s(literal -1/2 binary64) z)) x)
(fma.f64 #s(literal -2 binary64) (/.f64 (.f64 z y) #s(approx (- ( (* z 2) z) (* y t)) (.f64 (.f64 z z) #s(literal 2 binary64)))) x)
(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (.f64 (.f64 z z) #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 (.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 z) #s(literal -2 binary64) (.f64 t y))) (.f64 #s(literal 2 binary64) z)))
(fma.f64 #s(literal 2 binary64) (.f64 y (/.f64 z (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 t y)))) x)
(fma.f64 (.f64 z #s(literal 2 binary64)) (/.f64 y (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 t y))) 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 #s(literal 2 binary64) (.f64 y (/.f64 z (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:

96.0ms	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	x
5.0ms	z
5.0ms	y

Results

Accuracy	Segments	Branch
92.9%	1	`x`
92.9%	1	`y`
96.1%	2	`z`
92.9%	1	`t`
96.3%	2	`(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))`
96.2%	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)

regimes149.0ms (1.7%)

Memory

-30.5MiB live, 51.9MiB allocated

Counts

13 → 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))))
(fma.f64 #s(literal 2 binary64) (.f64 y #s(approx (/ z (+ ( -2 (* z z)) (* t y))) (/.f64 #s(literal -1/2 binary64) z))) x)
(fma.f64 (.f64 y #s(literal 2 binary64)) #s(approx (/ z (+ ( -2 (* z z)) (* t y))) (/.f64 #s(literal -1/2 binary64) z)) x)
(fma.f64 #s(literal -2 binary64) (/.f64 (.f64 z y) #s(approx (- ( (* z 2) z) (* y t)) (.f64 (.f64 z z) #s(literal 2 binary64)))) x)
(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (.f64 (.f64 z z) #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 (.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 z) #s(literal -2 binary64) (.f64 t y))) (.f64 #s(literal 2 binary64) z)))

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

6 calls:

109.0ms	(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))
21.0ms	y
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))))
4.0ms	x
4.0ms	z

Results

Accuracy	Segments	Branch
76.5%	4	`y`
70.4%	3	`x`
78.4%	3	`t`
93.5%	3	`z`
73.6%	3	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`
71.1%	2	`(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))`

Compiler

Compiled 36 to 41 computations (-13.9% saved)

regimes3.0ms (0%)

Memory

6.4MiB live, 6.4MiB 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
93.4%	3	`z`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes29.0ms (0.3%)

Memory

-8.3MiB live, 30.9MiB 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	(-.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	z
2.0ms	y
2.0ms	t

Results

Accuracy	Segments	Branch
63.4%	1	`x`
63.4%	1	`(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))`
63.4%	1	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`
63.4%	1	`y`
63.4%	1	`t`
63.4%	1	`z`

Compiler

Compiled 36 to 41 computations (-13.9% saved)

regimes9.0ms (0.1%)

Memory

24.2MiB live, 24.2MiB 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:

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	t
1.0ms	x
1.0ms	z
1.0ms	y

Results

Accuracy	Segments	Branch
14.4%	1	`z`
14.4%	1	`t`
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)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.2397121991473795e+275	8.95596884590991e+282

Compiler

Compiled 20 to 20 computations (0% saved)

bsearch52.0ms (0.6%)

Memory

11.7MiB live, 50.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	15919539559360.07	1.4753252350823596e+20
32.0ms	-1.1197675669351906e-51	-1.0810387729079392e-57

Samples

37.0ms

288×

valid

Compiler

Compiled 272 to 344 computations (-26.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 25.0ms (84.7% of total)

ival-div: 2.0ms (6.8% of total)

ival-sub: 2.0ms (6.8% 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

2.7MiB live, 2.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	15919539559360.07	1.4753252350823596e+20
1.0ms	-1.1197675669351906e-51	-1.0810387729079392e-57

Compiler

Compiled 254 to 326 computations (-28.3% saved)

simplify56.0ms (0.6%)

Memory

-33.5MiB live, 43.8MiB allocated

Algorithm

1×	egg-herbie

Rules

296×	`unsub-neg-binary64--.f64-neg.f64-+.f64`
226×	`distribute-lft-neg-in-binary64-*.f64-neg.f64`
206×	`neg-mul-1-binary64-*.f64-neg.f64`
100×	`neg-sub0-binary64--.f64-neg.f64`
98×	`distribute-rgt-neg-in-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	262
1	82	262
2	109	262
3	137	262
4	185	262
5	234	262
6	285	262
7	426	262
8	645	262
9	793	262
10	835	262
11	863	262
12	890	262
13	898	262
14	909	262

Stop Event

1×

saturated

Calls

Call 1

Inputs
(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 500000000000000026034570400124927876004592539875482072325045332488532471681254331635155702257359693082921654364459783965051206883716948932927829134579484022857251800882845394447562090716355667888496475007621811653869304473468681376009259035209043234590657258402459296670416896 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 y (/.f64 z (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 -3706992666733213/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (if (<=.f64 z #s(literal 3700000000000000000 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 -3706992666733213/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (if (<=.f64 z #s(literal 3700000000000000000 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 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t)))) #s(literal 500000000000000026034570400124927876004592539875482072325045332488532471681254331635155702257359693082921654364459783965051206883716948932927829134579484022857251800882845394447562090716355667888496475007621811653869304473468681376009259035209043234590657258402459296670416896 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 y (/.f64 z (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 500000000000000026034570400124927876004592539875482072325045332488532471681254331635155702257359693082921654364459783965051206883716948932927829134579484022857251800882845394447562090716355667888496475007621811653869304473468681376009259035209043234590657258402459296670416896 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 (/.f64 z (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) y) x) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))))
(if (<=.f64 z #s(literal -3706992666733213/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (if (<=.f64 z #s(literal 3700000000000000000 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 -3706992666733213/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (if (<=.f64 z #s(literal 3700000000000000000 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 -3706992666733213/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (if (<=.f64 z #s(literal 3700000000000000000 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)))

soundness682.0ms (7.8%)

Memory

23.5MiB live, 492.1MiB allocated

Rules

10 952×	`lower-fma.f64`
10 952×	`lower-fma.f32`
8 976×	`lower-fma.f64`
8 976×	`lower-fma.f32`
8 416×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	49
0	21	49
1	71	49
2	541	49
3	7465	49
0	8831	46
0	347	2160
1	1030	2124
2	3147	2097
0	8645	1977
0	913	10960
1	2841	10826
0	8378	10207

Stop Event

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

Compiler

Compiled 158 to 104 computations (34.2% saved)

preprocess316.0ms (3.6%)

Memory: -104.0MiB live, 160.4MiB allocated
Compiler: Compiled 276 to 138 computations (50% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	60	262
1	82	262
2	109	262
3	137	262
4	185	262
5	234	262
6	285	262
7	426	262
8	645	262
9	793	262
10	835	262
11	863	262
12	890	262
13	898	262
14	909	262

Iter	Nodes	Cost
0	60	262
1	82	262
2	109	262
3	137	262
4	185	262
5	234	262
6	285	262
7	426	262
8	645	262
9	793	262
10	835	262
11	863	262
12	890	262
13	898	262
14	909	262

start2.0ms (0%)

analyze248.0ms (2.8%)

sample1.9s (21.7%)

explain259.0ms (3%)

preprocess177.0ms (2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify80.0ms (0.9%)

localize47.0ms (0.5%)

series26.0ms (0.3%)

simplify210.0ms (2.4%)

rewrite300.0ms (3.4%)

eval114.0ms (1.3%)

prune18.0ms (0.2%)

simplify188.0ms (2.2%)

localize158.0ms (1.8%)

series58.0ms (0.7%)

simplify213.0ms (2.4%)

rewrite235.0ms (2.7%)

eval385.0ms (4.4%)

prune37.0ms (0.4%)

simplify202.0ms (2.3%)

localize298.0ms (3.4%)

series63.0ms (0.7%)

simplify215.0ms (2.5%)

rewrite181.0ms (2.1%)

eval208.0ms (2.4%)

prune33.0ms (0.4%)

simplify130.0ms (1.5%)

localize95.0ms (1.1%)

series37.0ms (0.4%)

simplify207.0ms (2.4%)

rewrite221.0ms (2.5%)

eval574.0ms (6.6%)

prune214.0ms (2.4%)

regimes122.0ms (1.4%)

regimes149.0ms (1.7%)

regimes3.0ms (0%)

regimes29.0ms (0.3%)

regimes9.0ms (0.1%)

bsearch1.0ms (0%)

bsearch52.0ms (0.6%)

bsearch2.0ms (0%)

simplify56.0ms (0.6%)

soundness682.0ms (7.8%)

preprocess316.0ms (3.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	60	262
1	82	262
2	109	262
3	137	262
4	185	262
5	234	262
6	285	262
7	426	262
8	645	262
9	793	262
10	835	262
11	863	262
12	890	262
13	898	262
14	909	262