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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze242.0ms (3.2%)

Memory

-20.7MiB live, 294.5MiB 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)

sample1.0s (13.5%)

Memory

43.8MiB live, 1 494.1MiB allocated

Samples

672.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 444.0ms

ival-mult: 267.0ms (60.1% of total)

ival-sub: 116.0ms (26.1% of total)

ival-div: 49.0ms (11% of total)

ival-true: 5.0ms (1.1% of total)

exact: 4.0ms (0.9% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain167.0ms (2.2%)

Memory

-16.0MiB live, 260.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
79	1	(1.7996775777719825e+257 -9.113881972392816e-67 1.807109739711493e+257 -4.18409607297786e-263)	1	(8.11565635891956e-44 1.4635569555478332e-43 1.0749477094001052e-238 -9.28212799794416e-270)	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`
3	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	12	0
↳	`(.f64 (.f64 y #s(literal 2 binary64)) z)`	overflow	27
↳	`(*.f64 y t)`	overflow	33
↳	`(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))`	overflow	83
↳	`(.f64 (.f64 z #s(literal 2 binary64)) z)`	overflow	57
`/.f64`	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`	n/o	7	0
↳	`(*.f64 y t)`	overflow	33
↳	`(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))`	overflow	83
↳	`(.f64 (.f64 z #s(literal 2 binary64)) z)`	overflow	57
`-.f64`	`(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))`	nan-rescue	3	0
↳	`(.f64 (.f64 z #s(literal 2 binary64)) z)`	overflow	57
↳	`(*.f64 y t)`	overflow	33
`/.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	24
↳	`(*.f64 y t)`	underflow	28
↳	`(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))`	underflow	7
↳	`(.f64 (.f64 z #s(literal 2 binary64)) z)`	underflow	52
`/.f64`	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`	u/n	3	0
↳	`(.f64 (.f64 y #s(literal 2 binary64)) z)`	underflow	24
`/.f64`	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`	o/n	2	0
↳	`(.f64 (.f64 y #s(literal 2 binary64)) z)`	overflow	27
`/.f64`	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`	n/u	1	0
↳	`(*.f64 y t)`	underflow	28
↳	`(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))`	underflow	7
↳	`(.f64 (.f64 z #s(literal 2 binary64)) z)`	underflow	52

Confusion

	Predicted +	Predicted -
+	29	16
-	0	211

Precision

1.0

Recall

0.6444444444444445

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	29	0	16
-	0	0	211

Precision?

1.0

Recall?

0.6444444444444445

Freqs

test

number	freq
0	227
1	27
2	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

51.0ms

512×

valid

Compiler

Compiled 155 to 43 computations (72.3% saved)

Precisions

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

ival-mult: 17.0ms (54.1% of total)

ival-sub: 11.0ms (35% of total)

ival-div: 3.0ms (9.5% of total)

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

exact: 0.0ms (0% of total)

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

preprocess182.0ms (2.4%)

Memory

23.9MiB live, 97.5MiB 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 21 to 13 computations (38.1% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	83.4%	(-.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 21 to 13 computations (38.1% saved)

simplify108.0ms (1.4%)

Memory

-19.8MiB live, 62.2MiB 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

localize44.0ms (0.6%)

Memory

1.8MiB live, 40.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y #s(literal 2 binary64))
accuracy	0.0078125	(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
accuracy	0.7109333716604117	(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))
accuracy	18.77391760408671	(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))

Samples

20.0ms

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 (63% of total)

ival-div: 2.0ms (18% of total)

ival-sub: 2.0ms (18% 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

2.1MiB live, 37.9MiB 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
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	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	@	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)))

simplify187.0ms (2.5%)

Memory

41.1MiB live, 195.1MiB 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))
(-.f64 x (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 y y)) (/.f64 t (*.f64 z z)) 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 (.f64 y y) (/.f64 y (pow.f64 z #s(literal 5 binary64)))) (/.f64 (.f64 (.f64 y y) #s(literal -1/2 binary64)) (.f64 (*.f64 z z) z))) 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 (.f64 (.f64 y y) y) #s(literal -1/4 binary64)) (pow.f64 z #s(literal 5 binary64)))) t (/.f64 (.f64 (.f64 y y) #s(literal -1/2 binary64)) (.f64 (.f64 z z) z))) 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 #s(literal 1/2 binary64) (.f64 y y)) (/.f64 t (*.f64 z z)) y) z)
(+ (* t (+ (* 1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3))))) (/ y z))
(fma.f64 (.f64 t #s(literal 1/4 binary64)) (.f64 (.f64 t y) (.f64 y (/.f64 y (pow.f64 z #s(literal 5 binary64))))) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 y y)) (/.f64 t (*.f64 z z)) 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 (.f64 t t) (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 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (/.f64 y (pow.f64 z #s(literal 5 binary64))))) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 y y)) (/.f64 t (.f64 z z)) 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)))
(fma.f64 (fma.f64 (.f64 #s(literal 4 binary64) z) (/.f64 z (.f64 (*.f64 t t) y)) (/.f64 #s(literal 2 binary64) t)) z x)
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
(+.f64 (/.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 (.f64 z z) #s(literal 4 binary64)) (/.f64 z (.f64 t y)) (*.f64 #s(literal 2 binary64) z))) t) x)
(* -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) z) (/.f64 z (.f64 (.f64 t t) y)) (/.f64 #s(literal -2 binary64) t)) z)
(/ (+ (* -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) (.f64 z z)) (/.f64 z (.f64 t 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 (pow.f64 z #s(literal 7 binary64)) (.f64 (.f64 (.f64 (.f64 t t) t) y) (.f64 y y))) #s(literal -16 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) (.f64 z z)) (/.f64 z (.f64 t 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)))
(fma.f64 (fma.f64 (.f64 #s(literal 4 binary64) z) (/.f64 z (.f64 (*.f64 t t) y)) (/.f64 #s(literal 2 binary64) t)) z x)
(+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t)))
(+.f64 (/.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 (.f64 z z) #s(literal 4 binary64)) (/.f64 z (.f64 t y)) (*.f64 #s(literal 2 binary64) z))) t) x)
(* -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) z) (/.f64 z (.f64 (.f64 t t) y)) (/.f64 #s(literal -2 binary64) t)) z)
(* -1 (/ (+ (* -1 (/ (+ (* -8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t))
(/.f64 (fma.f64 #s(literal -2 binary64) z (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) z) (/.f64 (.f64 z z) y) (.f64 (pow.f64 z #s(literal 5 binary64)) (/.f64 #s(literal -8 binary64) (.f64 (*.f64 y y) t)))) t)) 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))
(/.f64 (fma.f64 #s(literal -2 binary64) z (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) z) (/.f64 (.f64 z z) y) (/.f64 (fma.f64 (pow.f64 z #s(literal 7 binary64)) (/.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 y y) y) t)) (.f64 (pow.f64 z #s(literal 5 binary64)) (/.f64 #s(literal 8 binary64) (*.f64 y y)))) (neg.f64 t))) t)) t)
(* -1 (* t y))
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(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
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(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(fma.f64 (/.f64 (.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 x (fma.f64 (.f64 #s(literal -2 binary64) z) z (*.f64 t y)))) x x)

rewrite223.0ms (3%)

Memory

2.3MiB live, 308.3MiB 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
(.f64 (/.f64 (fma.f64 x x (/.f64 (neg.f64 (.f64 (.f64 y y) (.f64 #s(literal 4 binary64) (.f64 z z)))) (.f64 (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))))) (fma.f64 (/.f64 (.f64 (.f64 z z) z) (.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z)))) (.f64 #s(literal 8 binary64) (.f64 (.f64 y y) y)) (.f64 (.f64 x x) x))) (fma.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z) (-.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z) x) (.f64 x x)))
(.f64 (/.f64 (fma.f64 (.f64 x x) x (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 #s(literal 8 binary64) (.f64 (.f64 z z) z))) (.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t 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))))) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (/.f64 (.f64 (.f64 y y) (.f64 #s(literal 4 binary64) (.f64 z z))) (.f64 (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 (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z x) (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z x))))) (fma.f64 x x (.f64 (/.f64 (.f64 z (.f64 #s(literal 2 binary64) y)) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z x))))
(.f64 (/.f64 (fma.f64 (.f64 x x) x (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 #s(literal 8 binary64) (.f64 (.f64 z z) z))) (.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t 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))))) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) x (pow.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z x) (.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z)) #s(literal 3 binary64)))) (fma.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z x) (.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z)) (-.f64 (.f64 (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z x) (.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z)) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))))
(.f64 (/.f64 (fma.f64 x x (/.f64 (neg.f64 (.f64 (.f64 y y) (.f64 #s(literal 4 binary64) (.f64 z z)))) (.f64 (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))))) (fma.f64 x x (/.f64 (neg.f64 (.f64 (.f64 y y) (.f64 #s(literal 4 binary64) (.f64 z z)))) (.f64 (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)))))) (fma.f64 (.f64 z y) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) x))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z x)) (fma.f64 x x (/.f64 (neg.f64 (.f64 (.f64 y y) (.f64 #s(literal 4 binary64) (.f64 z z)))) (.f64 (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 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z x) (.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z) (.f64 x x))) (fma.f64 (.f64 x x) x (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 #s(literal 8 binary64) (.f64 (.f64 z z) z))) (.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t 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))))))
(.f64 (neg.f64 (fma.f64 x x (/.f64 (neg.f64 (.f64 (.f64 y y) (.f64 #s(literal 4 binary64) (.f64 z z)))) (.f64 (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 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 t y))) z x))))
(.f64 (neg.f64 (fma.f64 (.f64 x x) x (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 #s(literal 8 binary64) (.f64 (.f64 z z) z))) (.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t 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)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z x) (.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z) (.f64 x x)))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z x) (/.f64 (fma.f64 (.f64 z y) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) x) (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z x)))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z x) (.f64 (fma.f64 (.f64 z y) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) x) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 t y))) z x))))
(.f64 (fma.f64 x x (/.f64 (neg.f64 (.f64 (.f64 y y) (.f64 #s(literal 4 binary64) (.f64 z z)))) (.f64 (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 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 t y))) z x)))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 z y) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) x))
(.f64 (fma.f64 (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z x) (.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z) (.f64 x x)) (/.f64 (fma.f64 (.f64 z y) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) x) (fma.f64 (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z x) (.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z) (.f64 x x))))
(.f64 (fma.f64 (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z x) (.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z) (.f64 x x)) (.f64 (fma.f64 (.f64 z y) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z x) (.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z) (*.f64 x x)))))
(.f64 (fma.f64 (.f64 x x) x (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 #s(literal 8 binary64) (.f64 (.f64 z z) z))) (.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t 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))))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z x) (.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z) (.f64 x x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z y) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 t y))) x)) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 (fma.f64 x x (/.f64 (.f64 (.f64 y y) (.f64 #s(literal 4 binary64) (.f64 z z))) (.f64 (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))))) (fma.f64 x x (/.f64 (neg.f64 (.f64 (.f64 y y) (.f64 #s(literal 4 binary64) (.f64 z z)))) (.f64 (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 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z x))) (fma.f64 x x (/.f64 (.f64 (.f64 y y) (.f64 #s(literal 4 binary64) (.f64 z z))) (.f64 (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 (.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (pow.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z x))) (fma.f64 (/.f64 (.f64 (.f64 y y) (.f64 #s(literal 4 binary64) (.f64 z z))) (.f64 (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)))) (fma.f64 x x (/.f64 (.f64 (.f64 y y) (.f64 #s(literal 4 binary64) (.f64 z z))) (.f64 (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 (.f64 x x) (.f64 x x))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (pow.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z x) (.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z) (.f64 x x)))) (fma.f64 (/.f64 (.f64 (.f64 z z) z) (.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z)))) (.f64 #s(literal 8 binary64) (.f64 (.f64 y y) y)) (.f64 (*.f64 x x) x)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)) (pow.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z x) (.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) z) (.f64 x x)))) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) x (.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 #s(literal 8 binary64) (.f64 (.f64 z z) z))) (.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z)))) (fma.f64 (/.f64 (.f64 (.f64 z z) z) (.f64 (.f64 (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z)))) (.f64 #s(literal 8 binary64) (.f64 (.f64 y y) y)) (.f64 (*.f64 x x) x)))))
(/.f64 (.f64 (fma.f64 x x (/.f64 (neg.f64 (.f64 (.f64 y y) (.f64 #s(literal 4 binary64) (.f64 z z)))) (.f64 (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(literal 1 binary64)) (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 t y))) z x))
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(-.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 z z)) z) (/.f64 z (fma.f64 t y (.f64 (.f64 z #s(literal 2 binary64)) z)))) (.f64 (.f64 (.f64 t t) y) (/.f64 y (fma.f64 t y (.f64 (*.f64 z #s(literal 2 binary64)) z)))))
(-.f64 (.f64 (.f64 #s(literal 8 binary64) (.f64 (.f64 z z) z)) (/.f64 (.f64 (.f64 z z) z) (fma.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 z z)) z) z (.f64 (fma.f64 t y (.f64 (.f64 z #s(literal 2 binary64)) z)) (.f64 t y))))) (/.f64 (.f64 (.f64 (.f64 t t) y) (.f64 (.f64 t y) y)) (fma.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 z z)) z) z (.f64 (fma.f64 t y (.f64 (.f64 z #s(literal 2 binary64)) z)) (*.f64 t y)))))
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)))
(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 t y))
(+.f64 (neg.f64 (.f64 #s(literal -2 binary64) (.f64 z z))) (*.f64 (neg.f64 t) y))
(+.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 z z)) z) (/.f64 z (fma.f64 t y (.f64 (.f64 z #s(literal 2 binary64)) z)))) (neg.f64 (.f64 (.f64 (.f64 t t) y) (/.f64 y (fma.f64 t y (.f64 (*.f64 z #s(literal 2 binary64)) z))))))
(+.f64 (.f64 (.f64 #s(literal 8 binary64) (.f64 (.f64 z z) z)) (/.f64 (.f64 (.f64 z z) z) (fma.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 z z)) z) z (.f64 (fma.f64 t y (.f64 (.f64 z #s(literal 2 binary64)) z)) (.f64 t y))))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 t t) y) (.f64 (.f64 t y) y)) (fma.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 z z)) z) z (.f64 (fma.f64 t y (.f64 (.f64 z #s(literal 2 binary64)) z)) (*.f64 t y))))))
(+.f64 (.f64 (neg.f64 t) y) (.f64 (*.f64 z #s(literal 2 binary64)) z))
(+.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 (neg.f64 t) y))

eval76.0ms (1%)

Memory: -2.7MiB live, 147.8MiB allocated
Compiler: Compiled 22 948 to 1 524 computations (93.4% saved)

prune104.0ms (1.4%)

Memory

12.4MiB live, 184.5MiB 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
▶	89.7%	(fma.f64 (.f64 z #s(literal 2 binary64)) (/.f64 y (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 t y))) x)
	83.4%	(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 z y) (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 t y))) x)
	83.0%	(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (.f64 (-.f64 (.f64 (/.f64 (*.f64 z z) y) #s(literal 2 binary64)) t) y))))
▶	63.6%	(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
▶	63.3%	(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t))))
▶	63.2%	#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 228 to 142 computations (37.7% saved)

simplify128.0ms (1.7%)

Memory

-17.1MiB live, 61.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 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	(/.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 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

1 432×	`lower-fma.f32`
1 424×	`lower-fma.f64`
1 180×	`times-frac`
1 064×	`lower-*.f32`
1 050×	`lower-*.f64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	36	265
0	58	265
1	106	265
2	175	265
3	316	261
4	528	261
5	849	257
6	1854	257
7	2742	257
8	3148	257
9	3293	257
10	3342	257
11	3350	257
12	3363	257
13	3375	257
14	3400	257
15	3400	257
16	3440	257
17	3747	257
0	3747	257

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

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

localize81.0ms (1.1%)

Memory

20.9MiB live, 97.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.2539034976055602	(fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 t y))
accuracy	4.589288405628378	(.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 t y))))
accuracy	17.1898027132948	(/.f64 z (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 t y)))
accuracy	45.81085972052923	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 t y)))))
accuracy	0	(/.f64 z t)
accuracy	0.0078125	(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t))))
accuracy	0.0078125	(*.f64 #s(literal -2 binary64) (/.f64 z t))
accuracy	32.785965197965005	#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	0.10546875	(fma.f64 (/.f64 #s(literal 2 binary64) t) z x)
accuracy	23.48271385224336	#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	0.0078125	(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
accuracy	30.409856386697694	#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))
accuracy	0	(*.f64 t y)
accuracy	0.6601541858302058	(fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))
accuracy	1.0628077091997041	(fma.f64 (.f64 z #s(literal 2 binary64)) (/.f64 y (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 t y))) x)
accuracy	11.926557199080676	(/.f64 y (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)))

Samples

59.0ms

256×

valid

Compiler

Compiled 233 to 35 computations (85% saved)

Precisions

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

ival-mult: 21.0ms (53.4% of total)

ival-div: 10.0ms (25.4% of total)

ival-add: 6.0ms (15.3% of total)

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

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

exact: 0.0ms (0% of total)

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

series67.0ms (0.9%)

Memory

-4.0MiB live, 108.1MiB allocated

Counts

20 → 660

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

Calls

12 calls:

Time	Variable		Point	Expression
10.0ms	t	@	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)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ y z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (/ 2 t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* -2 (/ z t)) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (* 2 y) (/ z (+ (* (* -2 z) z) (* t y))) (* t y) (+ (* (* -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)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ y z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (/ 2 t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* -2 (/ z t)) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (* 2 y) (/ z (+ (* (* -2 z) z) (* t y))) (* t y) (+ (* (* -2 z) z) (* t y)))
4.0ms	t	@	-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)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ y z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (/ 2 t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* -2 (/ z t)) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (* 2 y) (/ z (+ (* (* -2 z) z) (* t y))) (* t y) (+ (* (* -2 z) z) (* t y)))
3.0ms	t	@	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)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ y z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (/ 2 t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* -2 (/ z t)) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (* 2 y) (/ z (+ (* (* -2 z) z) (* t y))) (* t y) (+ (* (* -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)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ y z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (/ 2 t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* -2 (/ z t)) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (* 2 y) (/ z (+ (* (* -2 z) z) (* t y))) (* t y) (+ (* (* -2 z) z) (* t y)))

simplify433.0ms (5.8%)

Memory

-120.8MiB live, 241.3MiB allocated

Algorithm

1×	egg-herbie

Rules

7 584×	`lower-fma.f64`
7 584×	`lower-fma.f32`
5 592×	`lower-*.f64`
5 592×	`lower-*.f32`
3 068×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	788	9729
1	2454	9601
2	7505	9601
0	8063	9033

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

rewrite280.0ms (3.7%)

Memory

19.3MiB live, 243.9MiB allocated

Rules

6 086×	`lower-fma.f32`
6 078×	`lower-fma.f64`
4 796×	`lower-/.f32`
4 786×	`lower-/.f64`
4 472×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	234
0	58	234
1	242	234
2	1529	234
0	8389	232

Stop Event

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

Counts

20 → 529

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

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

eval161.0ms (2.2%)

Memory: 12.8MiB live, 317.1MiB allocated
Compiler: Compiled 27 706 to 1 908 computations (93.1% saved)

prune279.0ms (3.7%)

Memory

-20.3MiB live, 382.7MiB allocated

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	1 166	4	1 170
Fresh	1	1	2
Picked	2	3	5
Done	0	0	0
Total	1 169	8	1 177

Accuracy

100.0%

Counts

1 177 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	89.0%	(fma.f64 (.f64 (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (*.f64 t y))) y) #s(literal 2 binary64) x)
▶	54.3%	(fma.f64 (.f64 z #s(literal 2 binary64)) (/.f64 y #s(approx (+ ( -2 (* z z)) (* t y)) (.f64 #s(literal -2 binary64) (.f64 z z)))) x)
▶	83.0%	(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (.f64 (-.f64 (.f64 (/.f64 (*.f64 z z) y) #s(literal 2 binary64)) t) y))))
✓	63.6%	(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
✓	63.2%	#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)))))
▶	18.5%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))))
▶	12.8%	#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 202 to 125 computations (38.1% saved)

simplify151.0ms (2%)

Memory

24.5MiB live, 100.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
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 (.f64 (/.f64 (*.f64 z z) y) #s(literal 2 binary64)) t) y)))
cost-diff	128	(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (.f64 (-.f64 (.f64 (/.f64 (*.f64 z z) y) #s(literal 2 binary64)) t) y))))
cost-diff	704	(.f64 (-.f64 (.f64 (/.f64 (*.f64 z z) y) #s(literal 2 binary64)) t) y)
cost-diff	0	#s(approx (+ (* -2 (* z z)) (* t y)) (.f64 #s(literal -2 binary64) (.f64 z z)))
cost-diff	0	(/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (.f64 #s(literal -2 binary64) (.f64 z z))))
cost-diff	0	(*.f64 z #s(literal 2 binary64))
cost-diff	0	(fma.f64 (.f64 z #s(literal 2 binary64)) (/.f64 y #s(approx (+ ( -2 (* z z)) (* t y)) (.f64 #s(literal -2 binary64) (.f64 z 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	(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)))
cost-diff	0	(fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y))
cost-diff	0	(/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y)))
cost-diff	0	(.f64 (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (*.f64 t y))) y)
cost-diff	0	(fma.f64 (.f64 (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (*.f64 t y))) y) #s(literal 2 binary64) x)

Rules

5 152×	`lower-*.f32`
5 132×	`lower-*.f64`
3 940×	`lower-fma.f32`
3 934×	`lower-fma.f64`
2 220×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	373
0	80	368
1	149	368
2	246	368
3	486	364
4	897	356
5	1494	350
6	2975	350
7	4712	350
8	6031	350
9	6303	350
10	6384	350
11	6517	350
12	7634	350
0	8533	341

Stop Event

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

Calls

Call 1

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

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

localize147.0ms (2%)

Memory

-23.3MiB live, 171.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (.f64 (-.f64 (.f64 (/.f64 (*.f64 z z) y) #s(literal 2 binary64)) t) y))))
accuracy	5.20060908922049	(.f64 (-.f64 (.f64 (/.f64 (*.f64 z z) y) #s(literal 2 binary64)) t) y)
accuracy	7.7008953035254155	(/.f64 (*.f64 z z) y)
accuracy	18.77391760408671	(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (.f64 (-.f64 (.f64 (/.f64 (*.f64 z z) y) #s(literal 2 binary64)) t) y)))
accuracy	0	(.f64 #s(literal -2 binary64) (.f64 z z))
accuracy	1.0628077091997041	(fma.f64 (.f64 z #s(literal 2 binary64)) (/.f64 y #s(approx (+ ( -2 (* z z)) (* t y)) (.f64 #s(literal -2 binary64) (.f64 z z)))) x)
accuracy	11.926557199080676	(/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (.f64 #s(literal -2 binary64) (.f64 z z))))
accuracy	28.260763051056806	#s(approx (+ (* -2 (* z z)) (* t y)) (.f64 #s(literal -2 binary64) (.f64 z z)))
accuracy	0	(/.f64 z t)
accuracy	0.0078125	(*.f64 (/.f64 z t) #s(literal 2 binary64))
accuracy	23.48271385224336	#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	29.333685753121948	#s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))
accuracy	0	(/.f64 (neg.f64 y) z)
accuracy	0	(neg.f64 y)
accuracy	30.409856386697694	#s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z))
accuracy	45.81085972052923	#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)))
accuracy	0.0078125	(fma.f64 (.f64 (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (*.f64 t y))) y) #s(literal 2 binary64) x)
accuracy	0.6601541858302058	(fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y))
accuracy	4.577293784887619	(.f64 (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (*.f64 t y))) y)
accuracy	17.1898027132948	(/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (.f64 t y)))

Samples

110.0ms

256×

valid

Compiler

Compiled 281 to 46 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

ival-mult: 50.0ms (57.3% of total)

ival-div: 26.0ms (29.8% of total)

ival-add: 6.0ms (6.9% of total)

ival-sub: 3.0ms (3.4% of total)

ival-neg: 1.0ms (1.1% of total)

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

exact: 0.0ms (0% of total)

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

series64.0ms (0.9%)

Memory

-8.0MiB live, 124.6MiB allocated

Counts

22 → 720

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
13.0ms	y	@	inf	((+ (* (* (/ z (+ (* (* z z) -2) (* t y))) y) 2) x) (* (/ z (+ (* (* z z) -2) (* t y))) y) (/ z (+ (* (* z z) -2) (* t y))) (+ (* (* z z) -2) (* t y)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/ (neg y) z) (neg y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ z t) 2) (/ z t) (+ (* (* z 2) (/ y (+ (* -2 (* z z)) (* t y)))) x) (* z 2) (/ y (+ (* -2 (* z z)) (* t y))) (+ (* -2 (* z z)) (* t y)) (* (- (* (/ (* z z) y) 2) t) y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* -2 (* z z)) (/ (* z z) y))
3.0ms	z	@	inf	((+ (* (* (/ z (+ (* (* z z) -2) (* t y))) y) 2) x) (* (/ z (+ (* (* z z) -2) (* t y))) y) (/ z (+ (* (* z z) -2) (* t y))) (+ (* (* z z) -2) (* t y)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/ (neg y) z) (neg y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ z t) 2) (/ z t) (+ (* (* z 2) (/ y (+ (* -2 (* z z)) (* t y)))) x) (* z 2) (/ y (+ (* -2 (* z z)) (* t y))) (+ (* -2 (* z z)) (* t y)) (* (- (* (/ (* z z) y) 2) t) y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* -2 (* z z)) (/ (* z z) y))
3.0ms	z	@	-inf	((+ (* (* (/ z (+ (* (* z z) -2) (* t y))) y) 2) x) (* (/ z (+ (* (* z z) -2) (* t y))) y) (/ z (+ (* (* z z) -2) (* t y))) (+ (* (* z z) -2) (* t y)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/ (neg y) z) (neg y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ z t) 2) (/ z t) (+ (* (* z 2) (/ y (+ (* -2 (* z z)) (* t y)))) x) (* z 2) (/ y (+ (* -2 (* z z)) (* t y))) (+ (* -2 (* z z)) (* t y)) (* (- (* (/ (* z z) y) 2) t) y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* -2 (* z z)) (/ (* z z) y))
3.0ms	y	@	-inf	((+ (* (* (/ z (+ (* (* z z) -2) (* t y))) y) 2) x) (* (/ z (+ (* (* z z) -2) (* t y))) y) (/ z (+ (* (* z z) -2) (* t y))) (+ (* (* z z) -2) (* t y)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/ (neg y) z) (neg y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ z t) 2) (/ z t) (+ (* (* z 2) (/ y (+ (* -2 (* z z)) (* t y)))) x) (* z 2) (/ y (+ (* -2 (* z z)) (* t y))) (+ (* -2 (* z z)) (* t y)) (* (- (* (/ (* z z) y) 2) t) y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* -2 (* z z)) (/ (* z z) y))
2.0ms	z	@	0	((+ (* (* (/ z (+ (* (* z z) -2) (* t y))) y) 2) x) (* (/ z (+ (* (* z z) -2) (* t y))) y) (/ z (+ (* (* z z) -2) (* t y))) (+ (* (* z z) -2) (* t y)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/ (neg y) z) (neg y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ z t) 2) (/ z t) (+ (* (* z 2) (/ y (+ (* -2 (* z z)) (* t y)))) x) (* z 2) (/ y (+ (* -2 (* z z)) (* t y))) (+ (* -2 (* z z)) (* t y)) (* (- (* (/ (* z z) y) 2) t) y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* -2 (* z z)) (/ (* z z) y))

simplify266.0ms (3.6%)

Memory

26.7MiB live, 264.1MiB allocated

Algorithm

1×	egg-herbie

Rules

9 288×	`lower-fma.f64`
9 288×	`lower-fma.f32`
6 276×	`lower-*.f64`
6 276×	`lower-*.f32`
3 450×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	879	10276
1	2752	10145
0	8378	9561

Stop Event

1×	iter limit
1×	node limit

Counts

720 → 675

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

rewrite445.0ms (6%)

Memory

20.0MiB live, 246.9MiB allocated

Rules

5 768×	`lower-fma.f32`
5 762×	`lower-fma.f64`
5 294×	`lower-*.f32`
5 274×	`lower-*.f64`
4 692×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	300
0	80	295
1	325	295
2	2028	295
0	9002	290

Stop Event

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

Counts

22 → 442

Calls

Call 1

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

Outputs
(.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) y) z) (.f64 (.f64 #s(literal 2 binary64) y) z)) (.f64 (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t)) (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t)))) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 y z) (fma.f64 (.f64 #s(literal -2 binary64) z) z (*.f64 y t))) (neg.f64 x))))
(.f64 (fma.f64 (.f64 x x) x (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 #s(literal 8 binary64) (.f64 (.f64 z z) z))) (.f64 (.f64 (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t)) (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t))) (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (/.f64 (.f64 (.f64 #s(literal 2 binary64) y) z) (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t)))) (/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) y) z) (.f64 (.f64 #s(literal 2 binary64) y) z)) (.f64 (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t)) (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t)))))))
(pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 y z) (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t))) (neg.f64 x)) (-.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) y) z) (.f64 (.f64 #s(literal 2 binary64) y) z)) (.f64 (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t)) (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t)))) (.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (/.f64 (.f64 (.f64 #s(literal 2 binary64) y) z) (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t)))) (/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) y) z) (.f64 (.f64 #s(literal 2 binary64) y) z)) (.f64 (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t)) (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t))))) (fma.f64 (.f64 x x) x (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 #s(literal 8 binary64) (.f64 (.f64 z z) z))) (.f64 (.f64 (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t)) (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t))) (fma.f64 (.f64 #s(literal -2 binary64) z) z (*.f64 y t)))))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) y) z) (.f64 (.f64 #s(literal 2 binary64) y) z)) (.f64 (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t)) (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t)))))) (neg.f64 (-.f64 x (/.f64 (.f64 (.f64 #s(literal 2 binary64) y) z) (fma.f64 (.f64 #s(literal -2 binary64) z) z (*.f64 y t))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) y) z) (.f64 (.f64 #s(literal 2 binary64) y) z)) (.f64 (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t)) (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t)))) (.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 y z) (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t))) (neg.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x x) x (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 #s(literal 8 binary64) (.f64 (.f64 z z) z))) (.f64 (.f64 (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t)) (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t))) (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t))))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (/.f64 (.f64 (.f64 #s(literal 2 binary64) y) z) (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t)))) (/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) y) z) (.f64 (.f64 #s(literal 2 binary64) y) z)) (.f64 (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t)) (fma.f64 (.f64 #s(literal -2 binary64) z) z (*.f64 y t))))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) y) z) (.f64 (.f64 #s(literal 2 binary64) y) z)) (.f64 (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t)) (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t)))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 y z) (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t))) (neg.f64 x))) (.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 y z) (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t))) (neg.f64 x)) (.f64 x x))) (.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 y z) (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t))) (neg.f64 x)) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 y z) (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t))) (neg.f64 x))))
(/.f64 (-.f64 (.f64 x x) (/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) y) z) (.f64 (.f64 #s(literal 2 binary64) y) z)) (.f64 (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t)) (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t))))) (-.f64 x (/.f64 (.f64 (.f64 #s(literal 2 binary64) y) z) (fma.f64 (.f64 #s(literal -2 binary64) z) z (*.f64 y t)))))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) y) z) (.f64 (.f64 #s(literal 2 binary64) y) z)) (.f64 (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t)) (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t)))) (.f64 x x))) (neg.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 y z) (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t))) (neg.f64 x))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) x (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 #s(literal 8 binary64) (.f64 (.f64 z z) z))) (.f64 (.f64 (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t)) (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t))) (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t)))))) (neg.f64 (fma.f64 x x (/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) y) z) (/.f64 (.f64 (.f64 #s(literal 2 binary64) y) z) (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t)))) (.f64 (.f64 (.f64 #s(literal 2 binary64) y) z) x)) (fma.f64 (.f64 #s(literal -2 binary64) z) z (*.f64 y t))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) x (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 #s(literal 8 binary64) (.f64 (.f64 z z) z))) (.f64 (.f64 (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t)) (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t))) (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t)))))) (neg.f64 (fma.f64 x (-.f64 x (/.f64 (.f64 (.f64 #s(literal 2 binary64) y) z) (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t)))) (/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) y) z) (.f64 (.f64 #s(literal 2 binary64) y) z)) (.f64 (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t)) (fma.f64 (.f64 #s(literal -2 binary64) z) z (*.f64 y t)))))))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) y) z) (.f64 (.f64 #s(literal 2 binary64) y) z)) (.f64 (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t)) (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t)))) (.f64 x x)) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 y z) (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t))) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 y z) (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t))) (neg.f64 x)) (-.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) y) z) (.f64 (.f64 #s(literal 2 binary64) y) z)) (.f64 (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t)) (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t)))) (.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (/.f64 (.f64 (.f64 #s(literal 2 binary64) y) z) (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t)))) (/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) y) z) (.f64 (.f64 #s(literal 2 binary64) y) z)) (.f64 (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t)) (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t))))) (fma.f64 (.f64 x x) x (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 #s(literal 8 binary64) (.f64 (.f64 z z) z))) (.f64 (.f64 (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t)) (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t))) (fma.f64 (.f64 #s(literal -2 binary64) z) z (*.f64 y t))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 y z) (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t))) (neg.f64 x)) (-.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) y) z) (.f64 (.f64 #s(literal 2 binary64) y) z)) (.f64 (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t)) (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t)))) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (/.f64 (.f64 (.f64 #s(literal 2 binary64) y) z) (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t)))) (/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) y) z) (.f64 (.f64 #s(literal 2 binary64) y) z)) (.f64 (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t)) (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t))))) (fma.f64 (.f64 x x) x (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 #s(literal 8 binary64) (.f64 (.f64 z z) z))) (.f64 (.f64 (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t)) (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t))) (fma.f64 (.f64 #s(literal -2 binary64) z) z (*.f64 y t)))))))
(/.f64 (fma.f64 (.f64 x x) x (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 #s(literal 8 binary64) (.f64 (.f64 z z) z))) (.f64 (.f64 (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t)) (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t))) (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t))))) (fma.f64 x x (/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) y) z) (/.f64 (.f64 (.f64 #s(literal 2 binary64) y) z) (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t)))) (.f64 (.f64 (.f64 #s(literal 2 binary64) y) z) x)) (fma.f64 (.f64 #s(literal -2 binary64) z) z (*.f64 y t)))))
(/.f64 (fma.f64 (.f64 x x) x (/.f64 (.f64 (.f64 (.f64 y y) y) (.f64 #s(literal 8 binary64) (.f64 (.f64 z z) z))) (.f64 (.f64 (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t)) (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t))) (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t))))) (fma.f64 x (-.f64 x (/.f64 (.f64 (.f64 #s(literal 2 binary64) y) z) (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t)))) (/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) y) z) (.f64 (.f64 #s(literal 2 binary64) y) z)) (.f64 (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 y t)) (fma.f64 (.f64 #s(literal -2 binary64) z) z (*.f64 y t))))))
(fma.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (fma.f64 (.f64 (.f64 y y) y) (.f64 (.f64 t t) t) (.f64 (.f64 #s(literal -8 binary64) (.f64 (.f64 z z) z)) (.f64 (.f64 z z) z)))) (/.f64 z (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 z z) (.f64 z z)) #s(literal 4 binary64) (.f64 (.f64 y t) (-.f64 (.f64 y t) (.f64 (*.f64 #s(literal -2 binary64) z) z)))))) x)
(fma.f64 (/.f64 (.f64 #s(literal 2 binary64) z) (fma.f64 (.f64 (.f64 z z) (.f64 z z)) #s(literal 4 binary64) (.f64 (.f64 (neg.f64 t) y) (.f64 y t)))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -2 binary64) z) z (*.f64 (neg.f64 t) y)))) x)
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(pow.f64 (/.f64 (/.f64 y (*.f64 z z)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 y (*.f64 z z)) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (*.f64 (neg.f64 z) z) #s(literal -1 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (.f64 (.f64 z z) #s(literal 1 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 z) z))) (neg.f64 y))
(/.f64 (/.f64 (*.f64 (neg.f64 z) z) #s(literal -1 binary64)) y)
(/.f64 (.f64 (.f64 z z) #s(literal 1 binary64)) y)
(/.f64 (neg.f64 (*.f64 (neg.f64 z) z)) y)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y (*.f64 z z)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 z z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 z z)))
(/.f64 (*.f64 (neg.f64 z) z) (neg.f64 y))
(/.f64 (*.f64 z z) y)
(neg.f64 (/.f64 (*.f64 (neg.f64 z) z) y))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (*.f64 (neg.f64 z) z) y))
(exp.f64 (.f64 (log.f64 (/.f64 y (.f64 z z))) #s(literal -1 binary64)))

eval492.0ms (6.6%)

Memory: -7.6MiB live, 191.6MiB allocated
Compiler: Compiled 26 438 to 2 157 computations (91.8% saved)

prune231.0ms (3.1%)

Memory

-16.5MiB live, 187.0MiB allocated

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	1 115	2	1 117
Fresh	0	0	0
Picked	1	4	5
Done	0	3	3
Total	1 116	9	1 125

Accuracy

100.0%

Counts

1 125 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	89.0%	(fma.f64 (.f64 (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (*.f64 t y))) y) #s(literal 2 binary64) x)
✓	54.3%	(fma.f64 (.f64 z #s(literal 2 binary64)) (/.f64 y #s(approx (+ ( -2 (* z z)) (* t y)) (.f64 #s(literal -2 binary64) (.f64 z z)))) x)
▶	83.0%	(fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 (-.f64 (.f64 (/.f64 (*.f64 z z) y) #s(literal 2 binary64)) t) y))) x)
✓	63.6%	(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
✓	63.2%	#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)))))
✓	18.5%	#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))))
▶	18.4%	#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)))
✓	12.8%	#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 131 to 82 computations (37.4% saved)

simplify157.0ms (2.1%)

Memory

16.3MiB live, 124.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y z)
cost-diff	0	(/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 (-.f64 (.f64 (/.f64 (*.f64 z z) y) #s(literal 2 binary64)) t) y)))
cost-diff	0	(fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 (-.f64 (.f64 (/.f64 (*.f64 z z) y) #s(literal 2 binary64)) t) y))) x)
cost-diff	704	(.f64 (-.f64 (.f64 (/.f64 (*.f64 z z) y) #s(literal 2 binary64)) t) y)
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)))

Rules

4 820×	`lower-fma.f32`
4 818×	`lower-fma.f64`
4 260×	`lower-*.f32`
4 250×	`lower-*.f64`
1 890×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	173
0	41	173
1	75	173
2	139	173
3	302	173
4	634	165
5	1223	163
6	2850	163
7	4610	163
8	5676	163
9	6056	163
10	6168	163
11	6430	163
12	7450	163
0	8555	159

Stop Event

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

Calls

Call 1

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

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

localize107.0ms (1.4%)

Memory

-12.1MiB live, 111.2MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 (-.f64 (.f64 (/.f64 (*.f64 z z) y) #s(literal 2 binary64)) t) y))) x)
accuracy	5.20060908922049	(.f64 (-.f64 (.f64 (/.f64 (*.f64 z z) y) #s(literal 2 binary64)) t) y)
accuracy	7.7008953035254155	(/.f64 (*.f64 z z) y)
accuracy	18.760672010239425	(/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 (-.f64 (.f64 (/.f64 (*.f64 z z) y) #s(literal 2 binary64)) t) y)))
accuracy	0	(/.f64 #s(literal 2 binary64) t)
accuracy	0.203125	(*.f64 (/.f64 #s(literal 2 binary64) t) z)
accuracy	23.48271385224336	#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	29.333685753121948	#s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))

Samples

74.0ms

256×

valid

Compiler

Compiled 120 to 28 computations (76.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-mult: 31.0ms (50.6% of total)

ival-div: 24.0ms (39.2% of total)

ival-sub: 3.0ms (4.9% of total)

ival-add: 2.0ms (3.3% of total)

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

exact: 0.0ms (0% of total)

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

series28.0ms (0.4%)

Memory

16.9MiB live, 53.8MiB allocated

Counts

9 → 288

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ 2 t) z) (/ 2 t) (* (- (* (/ (* z z) y) 2) t) y) (+ (* -2 (/ (* y z) (- (* (* z 2) z) (* y t)))) x) (/ (* y z) (- (* (* z 2) z) (* y t))) (* y z) (/ (* z z) y))
2.0ms	t	@	0	((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ 2 t) z) (/ 2 t) (* (- (* (/ (* z z) y) 2) t) y) (+ (* -2 (/ (* y z) (- (* (* z 2) z) (* y t)))) x) (/ (* y z) (- (* (* z 2) z) (* y t))) (* y z) (/ (* z z) y))
2.0ms	z	@	-inf	((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ 2 t) z) (/ 2 t) (* (- (* (/ (* z z) y) 2) t) y) (+ (* -2 (/ (* y z) (- (* (* z 2) z) (* y t)))) x) (/ (* y z) (- (* (* z 2) z) (* y t))) (* y z) (/ (* z z) y))
2.0ms	z	@	inf	((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ 2 t) z) (/ 2 t) (* (- (* (/ (* z z) y) 2) t) y) (+ (* -2 (/ (* y z) (- (* (* z 2) z) (* y t)))) x) (/ (* y z) (- (* (* z 2) z) (* y t))) (* y z) (/ (* z z) y))
1.0ms	y	@	-inf	((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ 2 t) z) (/ 2 t) (* (- (* (/ (* z z) y) 2) t) y) (+ (* -2 (/ (* y z) (- (* (* z 2) z) (* y t)))) x) (/ (* y z) (- (* (* z 2) z) (* y t))) (* y z) (/ (* z z) y))

simplify192.0ms (2.6%)

Memory

0.5MiB live, 241.6MiB allocated

Algorithm

1×	egg-herbie

Rules

10 752×	`lower-fma.f64`
10 752×	`lower-fma.f32`
4 656×	`lower-*.f64`
4 656×	`lower-*.f32`
2 970×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	467	3450
1	1419	3389
2	4099	3359
0	8109	3176

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 267

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

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

rewrite158.0ms (2.1%)

Memory

4.1MiB live, 280.7MiB allocated

Rules

7 512×	`lower-fma.f32`
7 510×	`lower-fma.f64`
4 848×	`lower-*.f32`
4 838×	`lower-*.f64`
3 888×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	124
0	41	124
1	160	124
2	1199	124
0	8266	121

Stop Event

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

Counts

9 → 169

Calls

Call 1

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

Outputs
#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 z #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) t))
(*.f64 (/.f64 z t) #s(literal 2 binary64))
(.f64 (.f64 #s(literal -2 binary64) z) (/.f64 #s(literal -1 binary64) t))
(.f64 (.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) t))
(*.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 z #s(literal 1/2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) t) z))
(*.f64 (/.f64 #s(literal 2 binary64) t) z)
(*.f64 z (/.f64 #s(literal 2 binary64) t))
(*.f64 #s(literal 2 binary64) (/.f64 z t))
(.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 1 binary64) t) z))
(pow.f64 (/.f64 t (*.f64 z #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) z)) t)
(/.f64 (*.f64 #s(literal -2 binary64) z) (neg.f64 t))
(/.f64 (neg.f64 z) (*.f64 t #s(literal -1/2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 t (*.f64 z #s(literal 2 binary64)))))
(/.f64 (*.f64 z #s(literal 2 binary64)) t)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t (*.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t #s(literal 1/2 binary64)) z))
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z #s(literal 2 binary64))))
(/.f64 z (*.f64 t #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 t #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 t #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 t #s(literal -1/2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) t))
(*.f64 (/.f64 #s(literal 1 binary64) t) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) t))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) t))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) t))
(pow.f64 (*.f64 t #s(literal 1/2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 t #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 t #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/2 binary64)))
(/.f64 #s(literal -2 binary64) (neg.f64 t))
(/.f64 #s(literal 2 binary64) t)
(neg.f64 (/.f64 #s(literal -2 binary64) t))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) t))
(exp.f64 (.f64 (log.f64 (.f64 t #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 z z)) (.f64 z z)) (.f64 y y)) (.f64 t t)) y) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 z z) y) #s(literal 2 binary64) t)))
(.f64 (.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal 8 binary64) (.f64 (.f64 z z) z)) (.f64 (.f64 z z) z)) (.f64 (.f64 y y) y)) (.f64 (.f64 t t) t)) y) (/.f64 #s(literal 1 binary64) (fma.f64 t (fma.f64 (/.f64 (.f64 z z) y) #s(literal 2 binary64) t) (/.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 z z)) (.f64 z z)) (.f64 y y)))))
(.f64 (.f64 y (-.f64 (/.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 z z)) (.f64 z z)) (.f64 y y)) (.f64 t t))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 z z) y) #s(literal 2 binary64) t)))
(.f64 (.f64 y (-.f64 (/.f64 (.f64 (.f64 #s(literal 8 binary64) (.f64 (.f64 z z) z)) (.f64 (.f64 z z) z)) (.f64 (.f64 y y) y)) (.f64 (.f64 t t) t))) (/.f64 #s(literal 1 binary64) (fma.f64 t (fma.f64 (/.f64 (.f64 z z) y) #s(literal 2 binary64) t) (/.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 z z)) (.f64 z z)) (.f64 y y)))))
(.f64 (-.f64 (.f64 (/.f64 (*.f64 z z) y) #s(literal 2 binary64)) t) y)
(.f64 y (-.f64 (.f64 (/.f64 (*.f64 z z) y) #s(literal 2 binary64)) t))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 z z) y) #s(literal 2 binary64)) y) (.f64 (.f64 (/.f64 (.f64 z z) y) #s(literal 2 binary64)) y)) (.f64 (.f64 y y) (.f64 t t))) (-.f64 (.f64 (.f64 (/.f64 (.f64 z z) y) #s(literal 2 binary64)) y) (.f64 (neg.f64 y) t)))
(/.f64 (-.f64 (.f64 (.f64 y (.f64 (/.f64 (.f64 z z) y) #s(literal 2 binary64))) (.f64 y (.f64 (/.f64 (.f64 z z) y) #s(literal 2 binary64)))) (.f64 (.f64 y y) (.f64 t t))) (-.f64 (.f64 y (.f64 (/.f64 (.f64 z z) y) #s(literal 2 binary64))) (.f64 (neg.f64 y) t)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (/.f64 (.f64 z z) y) #s(literal 2 binary64)) y) #s(literal 3 binary64)) (.f64 (.f64 (.f64 (neg.f64 t) t) t) (.f64 (.f64 y y) y))) (fma.f64 (.f64 (.f64 (/.f64 (.f64 z z) y) #s(literal 2 binary64)) y) (.f64 (.f64 (/.f64 (.f64 z z) y) #s(literal 2 binary64)) y) (-.f64 (.f64 (.f64 y y) (.f64 t t)) (.f64 (.f64 (.f64 (/.f64 (.f64 z z) y) #s(literal 2 binary64)) y) (.f64 (neg.f64 y) t)))))
(/.f64 (+.f64 (pow.f64 (.f64 y (.f64 (/.f64 (.f64 z z) y) #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (.f64 (.f64 (neg.f64 t) t) t) (.f64 (.f64 y y) y))) (fma.f64 (.f64 y (.f64 (/.f64 (.f64 z z) y) #s(literal 2 binary64))) (.f64 y (.f64 (/.f64 (.f64 z z) y) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 y y) (.f64 t t)) (.f64 (.f64 y (.f64 (/.f64 (.f64 z z) y) #s(literal 2 binary64))) (.f64 (neg.f64 y) t)))))
(/.f64 (neg.f64 (.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 z z)) (.f64 z z)) (.f64 y y)) (.f64 t t)) y)) (neg.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 2 binary64) t)))
(/.f64 (neg.f64 (.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal 8 binary64) (.f64 (.f64 z z) z)) (.f64 (.f64 z z) z)) (.f64 (.f64 y y) y)) (.f64 (.f64 t t) t)) y)) (neg.f64 (fma.f64 t (fma.f64 (/.f64 (.f64 z z) y) #s(literal 2 binary64) t) (/.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 z z)) (.f64 z z)) (*.f64 y y)))))
(/.f64 (neg.f64 (.f64 y (-.f64 (/.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 z z)) (.f64 z z)) (.f64 y y)) (.f64 t t)))) (neg.f64 (fma.f64 (/.f64 (.f64 z z) y) #s(literal 2 binary64) t)))
(/.f64 (neg.f64 (.f64 y (-.f64 (/.f64 (.f64 (.f64 #s(literal 8 binary64) (.f64 (.f64 z z) z)) (.f64 (.f64 z z) z)) (.f64 (.f64 y y) y)) (.f64 (.f64 t t) t)))) (neg.f64 (fma.f64 t (fma.f64 (/.f64 (.f64 z z) y) #s(literal 2 binary64) t) (/.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 z z)) (.f64 z z)) (*.f64 y y)))))
(/.f64 (.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 z z)) (.f64 z z)) (.f64 y y)) (.f64 t t)) y) (fma.f64 (/.f64 (.f64 z z) y) #s(literal 2 binary64) t))
(/.f64 (.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal 8 binary64) (.f64 (.f64 z z) z)) (.f64 (.f64 z z) z)) (.f64 (.f64 y y) y)) (.f64 (.f64 t t) t)) y) (fma.f64 t (fma.f64 (/.f64 (.f64 z z) y) #s(literal 2 binary64) t) (/.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 z z)) (.f64 z z)) (*.f64 y y))))
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(.f64 #s(literal 1 binary64) (/.f64 (.f64 z z) y))
(.f64 (.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) y))
(.f64 (.f64 z z) (/.f64 #s(literal 1 binary64) y))
(*.f64 z (/.f64 z y))
(pow.f64 (/.f64 y (*.f64 z z)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 z z)))
(/.f64 (*.f64 (neg.f64 z) z) (neg.f64 y))
(/.f64 (*.f64 z z) y)
(/.f64 z (/.f64 y z))
(neg.f64 (/.f64 (*.f64 (neg.f64 z) z) y))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (*.f64 (neg.f64 z) z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (neg.f64 z) z) y))
(exp.f64 (.f64 (log.f64 (/.f64 y (.f64 z z))) #s(literal -1 binary64)))

eval93.0ms (1.2%)

Memory: -11.2MiB live, 154.9MiB allocated
Compiler: Compiled 10 700 to 864 computations (91.9% saved)

prune81.0ms (1.1%)

Memory

18.0MiB live, 133.7MiB allocated

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	436	0	436
Fresh	0	0	0
Picked	0	2	2
Done	0	7	7
Total	436	9	445

Accuracy

100.0%

Counts

445 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	89.0%	(fma.f64 (.f64 (/.f64 z (fma.f64 (.f64 z z) #s(literal -2 binary64) (*.f64 t y))) y) #s(literal 2 binary64) x)
✓	54.3%	(fma.f64 (.f64 z #s(literal 2 binary64)) (/.f64 y #s(approx (+ ( -2 (* z z)) (* t y)) (.f64 #s(literal -2 binary64) (.f64 z z)))) x)
✓	83.0%	(fma.f64 #s(literal -2 binary64) (/.f64 (.f64 y z) #s(approx (- ( (* z 2) z) (* y t)) (.f64 (-.f64 (.f64 (/.f64 (*.f64 z z) y) #s(literal 2 binary64)) t) y))) x)
✓	63.6%	(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
✓	63.2%	#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)))))
✓	18.5%	#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))))
✓	18.4%	#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)))
✓	12.8%	#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 305 to 136 computations (55.4% saved)

regimes36.0ms (0.5%)

Memory

-4.7MiB live, 73.0MiB allocated

Counts

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

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

Calls

6 calls:

9.0ms	(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))
7.0ms	y
5.0ms	z
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

Results

Accuracy	Segments	Branch
89.7%	1	`x`
89.7%	1	`y`
97.9%	5	`z`
89.7%	1	`t`
93.5%	2	`(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))`
93.5%	2	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`

Compiler

Compiled 60 to 41 computations (31.7% saved)

regimes12.0ms (0.2%)

Memory

-6.8MiB live, 32.5MiB allocated

Counts

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

Outputs
(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 z y) (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

3 calls:

4.0ms

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

4.0ms

3.0ms

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

Results

Accuracy	Segments	Branch
96.0%	5	`z`
92.4%	2	`(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))`
92.4%	2	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`

Compiler

Compiled 45 to 29 computations (35.6% saved)

regimes21.0ms (0.3%)

Memory

12.1MiB live, 51.3MiB allocated

Counts

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

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:

4.0ms	z
3.0ms	(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
3.0ms	x
3.0ms	t
3.0ms	y

Results

Accuracy	Segments	Branch
74.0%	3	`x`
75.5%	3	`t`
76.9%	3	`y`
90.5%	3	`z`
73.2%	4	`(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))`
69.5%	2	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`

Compiler

Compiled 60 to 41 computations (31.7% saved)

regimes3.0ms (0%)

Memory

7.4MiB live, 7.4MiB allocated

Counts

5 → 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 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:

2.0ms

Results

Accuracy	Segments	Branch
90.5%	3	`z`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes16.0ms (0.2%)

Memory

-6.2MiB live, 37.6MiB allocated

Counts

4 → 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 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

#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))))

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

Calls

6 calls:

4.0ms	z
2.0ms	(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
2.0ms	y
2.0ms	x
2.0ms	(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))

Results

Accuracy	Segments	Branch
65.7%	2	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`
63.6%	1	`(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))`
63.6%	1	`x`
63.6%	1	`t`
63.6%	1	`y`
63.6%	1	`z`

Compiler

Compiled 60 to 41 computations (31.7% saved)

regimes3.0ms (0%)

Memory

-32.6MiB live, 6.5MiB allocated

Counts

3 → 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 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)))

Outputs

#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)))

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
65.7%	2	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes3.0ms (0%)

Memory

10.3MiB live, 10.3MiB allocated

Counts

2 → 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)))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
63.6%	1	`t`
63.6%	1	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

24.7MiB live, 24.7MiB 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	y
1.0ms	z

Results

Accuracy	Segments	Branch
12.8%	1	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`
12.8%	1	`y`
12.8%	1	`x`
12.8%	1	`z`
12.8%	1	`(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))`
12.8%	1	`t`

Compiler

Compiled 60 to 41 computations (31.7% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 24 to 20 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.936854659694865e+125	2.446819513958672e+174

Compiler

Compiled 24 to 20 computations (16.7% saved)

bsearch39.0ms (0.5%)

Memory

-30.7MiB live, 88.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	9.851727765759294e+33	6.154870800580333e+51
16.0ms	-8.857127939908045e-34	-2.751596689462294e-42

Samples

22.0ms

304×

valid

Compiler

Compiled 480 to 324 computations (32.5% saved)

Precisions

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

ival-mult: 8.0ms (60.5% of total)

ival-sub: 3.0ms (22.7% of total)

ival-div: 2.0ms (15.1% 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

4.6MiB live, 4.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	9.851727765759294e+33	6.154870800580333e+51
1.0ms	-8.857127939908045e-34	-2.751596689462294e-42

Compiler

Compiled 461 to 305 computations (33.8% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.1257157877208157e-35	-9.554815323110587e-51

Compiler

Compiled 24 to 20 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.1257157877208157e-35	-9.554815323110587e-51

Compiler

Compiled 24 to 20 computations (16.7% saved)

simplify10.0ms (0.1%)

Memory

23.3MiB live, 23.3MiB allocated

Algorithm

1×	egg-herbie

Rules

32×	`*-commutative_binary64`
20×	`+-commutative_binary64`
20×	`sub-neg_binary64`
14×	`neg-sub0_binary64`
14×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	454
1	99	454
2	119	454
3	132	454
4	140	454
5	142	454

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t))) #s(literal +inf.0 binary64)) (fma.f64 (.f64 z #s(literal 2 binary64)) (/.f64 y (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 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t))) #s(literal 999999999999999924867761618992882042544670869834838461439225972225294199975793026603163493762817653751530058413655532282839040 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 z y) (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 -2484552783462535/2923003274661805836407369665432566039311865085952 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (if (<=.f64 z #s(literal 1349999999999999921017972685975861665615314944 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 -2484552783462535/2923003274661805836407369665432566039311865085952 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (if (<=.f64 z #s(literal 1349999999999999921017972685975861665615314944 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)))))
(if (<=.f64 (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t))) #s(literal -7482888383134223/374144419156711147060143317175368453031918731001856 binary64)) #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)))) (-.f64 x #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))))
(if (<=.f64 (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t))) #s(literal -7482888383134223/374144419156711147060143317175368453031918731001856 binary64)) #s(approx (- x (/ ( (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (.f64 (/.f64 #s(literal 2 binary64) t) z))) (-.f64 x #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))))
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z)))

Outputs
(if (<=.f64 (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t))) #s(literal +inf.0 binary64)) (fma.f64 (.f64 z #s(literal 2 binary64)) (/.f64 y (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 (.f64 z (.f64 #s(literal 2 binary64) y)) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 t y))) #s(literal +inf.0 binary64)) (fma.f64 (.f64 z #s(literal 2 binary64)) (/.f64 y (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 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t))) #s(literal 999999999999999924867761618992882042544670869834838461439225972225294199975793026603163493762817653751530058413655532282839040 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 z y) (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 (.f64 z (.f64 #s(literal 2 binary64) y)) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 t y))) #s(literal 999999999999999924867761618992882042544670869834838461439225972225294199975793026603163493762817653751530058413655532282839040 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 z y) (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 -2484552783462535/2923003274661805836407369665432566039311865085952 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (if (<=.f64 z #s(literal 1349999999999999921017972685975861665615314944 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 -2484552783462535/2923003274661805836407369665432566039311865085952 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (if (<=.f64 z #s(literal 1349999999999999921017972685975861665615314944 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 -2484552783462535/2923003274661805836407369665432566039311865085952 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (if (<=.f64 z #s(literal 1349999999999999921017972685975861665615314944 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)))))
(if (<=.f64 (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t))) #s(literal -7482888383134223/374144419156711147060143317175368453031918731001856 binary64)) #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)))) (-.f64 x #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))))
(if (<=.f64 (/.f64 (.f64 z (.f64 #s(literal 2 binary64) y)) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 t y))) #s(literal -7482888383134223/374144419156711147060143317175368453031918731001856 binary64)) #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)))) (-.f64 x #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))))
(if (<=.f64 (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t))) #s(literal -7482888383134223/374144419156711147060143317175368453031918731001856 binary64)) #s(approx (- x (/ ( (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (.f64 (/.f64 #s(literal 2 binary64) t) z))) (-.f64 x #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))))
(if (<=.f64 (/.f64 (.f64 z (.f64 #s(literal 2 binary64) y)) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 t y))) #s(literal -7482888383134223/374144419156711147060143317175368453031918731001856 binary64)) #s(approx (- x (/ ( (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (.f64 (/.f64 #s(literal 2 binary64) t) z))) (-.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)))

soundness802.0ms (10.7%)

Memory

12.3MiB live, 665.4MiB allocated

Rules

10 952×	`lower-fma.f64`
10 952×	`lower-fma.f32`
8 416×	`lower-fma.f64`
8 416×	`lower-fma.f32`
7 584×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	300
0	80	295
1	325	295
2	2028	295
0	9002	290
0	347	2160
1	1030	2124
2	3147	2097
0	8645	1977
0	13	49
0	21	49
1	71	49
2	541	49
3	7465	49
0	8831	46
0	788	9729
1	2454	9601
2	7505	9601
0	8063	9033

Stop Event

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

Compiler

Compiled 384 to 169 computations (56% saved)

preprocess112.0ms (1.5%)

Memory: -7.8MiB live, 237.2MiB allocated
Compiler: Compiled 498 to 148 computations (70.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze242.0ms (3.2%)

sample1.0s (13.5%)

explain167.0ms (2.2%)

preprocess182.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify108.0ms (1.4%)

localize44.0ms (0.6%)

series26.0ms (0.3%)

simplify187.0ms (2.5%)

rewrite223.0ms (3%)

eval76.0ms (1%)

prune104.0ms (1.4%)

simplify128.0ms (1.7%)

localize81.0ms (1.1%)

series67.0ms (0.9%)

simplify433.0ms (5.8%)

rewrite280.0ms (3.7%)

eval161.0ms (2.2%)

prune279.0ms (3.7%)

simplify151.0ms (2%)

localize147.0ms (2%)

series64.0ms (0.9%)

simplify266.0ms (3.6%)

rewrite445.0ms (6%)

eval492.0ms (6.6%)

prune231.0ms (3.1%)

simplify157.0ms (2.1%)

localize107.0ms (1.4%)

series28.0ms (0.4%)

simplify192.0ms (2.6%)

rewrite158.0ms (2.1%)

eval93.0ms (1.2%)

prune81.0ms (1.1%)

regimes36.0ms (0.5%)

regimes12.0ms (0.2%)

regimes21.0ms (0.3%)

regimes3.0ms (0%)

regimes16.0ms (0.2%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes8.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch39.0ms (0.5%)

bsearch2.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify10.0ms (0.1%)

soundness802.0ms (10.7%)

preprocess112.0ms (1.5%)

end0.0ms (0%)

Profiling