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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze199.0ms (2.6%)

Memory

14.2MiB live, 446.3MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
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)

sample1.3s (17.3%)

Memory

63.8MiB live, 1 567.6MiB allocated

Samples

962.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 658.0ms

ival-mult: 499.0ms (75.8% of total)

ival-sub: 91.0ms (13.8% of total)

ival-div: 53.0ms (8% of total)

ival-true: 7.0ms (1.1% of total)

exact: 5.0ms (0.8% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain166.0ms (2.2%)

Memory

-37.1MiB live, 292.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
86	2	(-4.3982794199254227e-249 -1.3492627206040464e-254 6.709158434058612e-149 1.9420665611826188e+174)	2	(-5.7189241281181635e-223 2.5471313844585157e-202 -2.726674262593959e-116 -3.974958970590934e-119)	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`
6	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	16	0
↳	`(.f64 (.f64 y #s(literal 2 binary64)) z)`	overflow	39
↳	`(*.f64 y t)`	overflow	41
↳	`(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))`	overflow	94
↳	`(.f64 (.f64 z #s(literal 2 binary64)) z)`	overflow	64
`-.f64`	`(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))`	nan-rescue	6	0
↳	`(.f64 (.f64 z #s(literal 2 binary64)) z)`	overflow	64
↳	`(*.f64 y t)`	overflow	41
`/.f64`	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`	o/n	6	0
↳	`(.f64 (.f64 y #s(literal 2 binary64)) z)`	overflow	39
`/.f64`	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`	u/u	5	0
↳	`(.f64 (.f64 y #s(literal 2 binary64)) z)`	underflow	31
↳	`(*.f64 y t)`	underflow	35
↳	`(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))`	underflow	12
↳	`(.f64 (.f64 z #s(literal 2 binary64)) z)`	underflow	64
`/.f64`	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`	n/o	5	0
↳	`(*.f64 y t)`	overflow	41
↳	`(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))`	overflow	94
↳	`(.f64 (.f64 z #s(literal 2 binary64)) z)`	overflow	64
`/.f64`	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`	u/n	2	0
↳	`(.f64 (.f64 y #s(literal 2 binary64)) z)`	underflow	31

Confusion

	Predicted +	Predicted -
+	37	22
-	1	196

Precision

0.9736842105263158

Recall

0.6271186440677966

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	37	0	22
-	1	0	196

Precision?

0.9736842105263158

Recall?

0.6271186440677966

Freqs

test

number	freq
0	218
1	36
2	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

62.0ms

512×

valid

Compiler

Compiled 151 to 43 computations (71.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 15.0ms (59.2% of total)

ival-div: 4.0ms (15.8% of total)

ival-sub: 4.0ms (15.8% of total)

ival-true: 1.0ms (3.9% of total)

exact: 0.0ms (0% of total)

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

preprocess195.0ms (2.5%)

Memory

11.9MiB live, 125.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

eval0.0ms (0%)

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

prune4.0ms (0%)

Memory

-34.2MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.3%	(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify82.0ms (1.1%)

Memory

43.9MiB live, 79.2MiB 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

localize53.0ms (0.7%)

Memory

-27.8MiB live, 91.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y t)
accuracy	0	(*.f64 y #s(literal 2 binary64))
accuracy	1.3515563074906176	(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))
accuracy	20.280177196224678	(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))

Samples

37.0ms

256×

valid

Compiler

Compiled 67 to 15 computations (77.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 15.0ms (76.5% of total)

ival-div: 2.0ms (10.2% of total)

ival-sub: 2.0ms (10.2% of total)

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

exact: 0.0ms (0% of total)

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

series39.0ms (0.5%)

Memory

28.2MiB live, 66.8MiB allocated

Counts

6 → 180

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
17.0ms	z	@	-inf	((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* y 2) (- (* (* z 2) z) (* y t)) (* y t))
3.0ms	y	@	0	((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* y 2) (- (* (* z 2) z) (* y t)) (* y t))
2.0ms	y	@	inf	((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* y 2) (- (* (* z 2) z) (* y t)) (* y t))
2.0ms	z	@	0	((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* y 2) (- (* (* z 2) z) (* y t)) (* y t))
2.0ms	y	@	-inf	((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* y 2) (- (* (* z 2) z) (* y t)) (* y t))

simplify226.0ms (3%)

Memory

-27.9MiB live, 223.3MiB 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	2232
1	1030	2196
2	3147	2169
0	8645	2049

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 172

Calls

Call 1

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

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

rewrite207.0ms (2.7%)

Memory

9.1MiB live, 263.2MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

6 → 412

Calls

Call 1

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

Outputs
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eval91.0ms (1.2%)

Memory: 28.2MiB live, 144.4MiB allocated
Compiler: Compiled 19 430 to 1 609 computations (91.7% saved)

prune15.0ms (0.2%)

Memory

9.6MiB live, 45.8MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

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

Accuracy

100.0%

Counts

585 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	85.9%	(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)) (*.f64 #s(literal -2 binary64) y))) z x)
▶	87.5%	(fma.f64 z (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (.f64 (*.f64 z #s(literal 2 binary64)) z))) x)
▶	60.3%	(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
▶	63.8%	(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t))))
▶	63.7%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x))
▶	20.4%	#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 138 to 126 computations (8.7% saved)

simplify128.0ms (1.7%)

Memory

-7.3MiB live, 39.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

1 432×	`lower-fma.f32`
1 424×	`lower-fma.f64`
1 194×	`times-frac`
1 064×	`lower-*.f32`
1 048×	`lower-*.f64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	38	274
0	62	274
1	117	274
2	187	272
3	334	268
4	549	268
5	858	264
6	1866	264
7	2751	264
8	3153	264
9	3298	264
10	3347	264
11	3355	264
12	3368	264
13	3380	264
14	3401	264
15	3401	264
16	3441	264
17	3734	264
0	3734	264

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize142.0ms (1.8%)

Memory

-10.4MiB live, 248.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.7538979928166806	(fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 t y))
accuracy	5.5816992608423055	(.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 t y))))
accuracy	19.189334238542216	(/.f64 z (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 t y)))
accuracy	44.30132977322824	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 t y)))))
accuracy	0	(/.f64 z t)
accuracy	0	(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t))))
accuracy	0	(*.f64 #s(literal -2 binary64) (/.f64 z t))
accuracy	30.161228766418787	#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	0.12109375	(fma.f64 (/.f64 #s(literal 2 binary64) t) z x)
accuracy	23.14121340478608	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x))
accuracy	0	(/.f64 y z)
accuracy	0	(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
accuracy	32.8317773602154	#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))
accuracy	0	(neg.f64 t)
accuracy	0.7499917428166807	(fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z))
accuracy	2.3309484739615463	(fma.f64 z (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (.f64 (*.f64 z #s(literal 2 binary64)) z))) x)
accuracy	13.63512296814766	(/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (.f64 (*.f64 z #s(literal 2 binary64)) z)))

Samples

119.0ms

256×

valid

Compiler

Compiled 242 to 36 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 24.0ms (51.3% of total)

ival-div: 12.0ms (25.7% of total)

ival-sub: 5.0ms (10.7% of total)

ival-add: 4.0ms (8.6% of total)

ival-neg: 1.0ms (2.1% of total)

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

exact: 0.0ms (0% of total)

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

series226.0ms (2.9%)

Memory

-180.2MiB live, 211.2MiB allocated

Counts

20 → 648

Calls

Call 1

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

Outputs
#s(alt (* -1 (/ y (pow z 2))) (taylor 0 t) (#s(alt (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z))) (patch (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y (pow z 2))) (* -1/2 (/ (* t (pow y 2)) (pow z 4)))) (taylor 0 t) (#s(alt (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z))) (patch (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y (pow z 2))) (* t (+ (* -1/2 (/ (pow y 2) (pow z 4))) (* -1/4 (/ (* t (pow y 3)) (pow z 6)))))) (taylor 0 t) (#s(alt (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z))) (patch (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y (pow z 2))) (* t (+ (* -1/2 (/ (pow y 2) (pow z 4))) (* t (+ (* -1/4 (/ (pow y 3) (pow z 6))) (* -1/8 (/ (* t (pow y 4)) (pow z 8)))))))) (taylor 0 t) (#s(alt (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z))) (patch (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ y z))) (taylor 0 t) (#s(alt (fma.f64 z (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z))) x) (patch (fma.f64 z (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z))) x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3))))) (taylor 0 t) (#s(alt (fma.f64 z (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z))) x) (patch (fma.f64 z (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z))) x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* -1/4 (/ (* t (pow y 3)) (pow z 5))))))) (taylor 0 t) (#s(alt (fma.f64 z (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z))) x) (patch (fma.f64 z (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z))) x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* -1/4 (/ (pow y 3) (pow z 5))) (* -1/8 (/ (* t (pow y 4)) (pow z 7))))))))) (taylor 0 t) (#s(alt (fma.f64 z (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z))) x) (patch (fma.f64 z (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z))) x) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow z 2)) (taylor 0 t) (#s(alt (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z)) (patch (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* t y)) (* 2 (pow z 2))) (taylor 0 t) (#s(alt (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z)) (patch (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* t y)) (* 2 (pow z 2))) (taylor 0 t) (#s(alt (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z)) (patch (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* t y)) (* 2 (pow z 2))) (taylor 0 t) (#s(alt (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z)) (patch (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (- x (/ y z)) (taylor 0 t) (#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) (taylor 0 t) (#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) (taylor 0 t) (#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) (taylor 0 t) (#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 t) (#s(alt #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) (patch #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z)) (taylor 0 t) (#s(alt #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) (patch #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ (* t (+ (* 1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3))))) (/ y z)) (taylor 0 t) (#s(alt #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) (patch #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* 1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))))) (/ y z)) (taylor 0 t) (#s(alt #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) (patch #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (- x (/ y z)) (taylor 0 t) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) (taylor 0 t) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) (taylor 0 t) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) (taylor 0 t) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ z t)) (taylor 0 t) (#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) (patch (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 2 z) (* t x)) t) (taylor 0 t) (#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) (patch (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 2 z) (* t x)) t) (taylor 0 t) (#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) (patch (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 2 z) (* t x)) t) (taylor 0 t) (#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) (patch (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) #<representation binary64>) () ())) ())
#s(alt (/ 2 t) (taylor 0 t) (#s(alt (/.f64 #s(literal 2 binary64) t) (patch (/.f64 #s(literal 2 binary64) t) #<representation binary64>) () ())) ())
#s(alt (/ 2 t) (taylor 0 t) (#s(alt (/.f64 #s(literal 2 binary64) t) (patch (/.f64 #s(literal 2 binary64) t) #<representation binary64>) () ())) ())
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#s(alt x (taylor inf x) (#s(alt (fma.f64 z (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z))) x) (patch (fma.f64 z (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z))) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -2 (/ (* y z) (* x (+ (* -1 (* t y)) (* 2 (pow z 2)))))))) (taylor inf x) (#s(alt (fma.f64 z (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z))) x) (patch (fma.f64 z (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z))) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -2 (/ (* y z) (* x (+ (* -1 (* t y)) (* 2 (pow z 2)))))))) (taylor inf x) (#s(alt (fma.f64 z (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z))) x) (patch (fma.f64 z (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z))) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -2 (/ (* y z) (* x (+ (* -1 (* t y)) (* 2 (pow z 2)))))))) (taylor inf x) (#s(alt (fma.f64 z (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z))) x) (patch (fma.f64 z (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z))) x) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) (taylor inf x) (#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) (taylor inf x) (#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) (taylor inf x) (#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) (taylor inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) (taylor inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) (taylor inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) (patch (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 2 (/ z (* t x))))) (taylor inf x) (#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) (patch (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 2 (/ z (* t x))))) (taylor inf x) (#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) (patch (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 2 (/ z (* t x))))) (taylor inf x) (#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) (patch (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 #s(literal -2 binary64) (/.f64 z t)))) (patch (-.f64 x #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) (taylor inf x) (#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 #s(literal -2 binary64) (/.f64 z t)))) (patch (-.f64 x #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) (taylor inf x) (#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 #s(literal -2 binary64) (/.f64 z t)))) (patch (-.f64 x #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) (taylor inf x) (#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 #s(literal -2 binary64) (/.f64 z t)))) (patch (-.f64 x #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 t y))))) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 t y))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) (taylor inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 t y))))) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 t y))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) (taylor inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 t y))))) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 t y))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) (taylor inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 t y))))) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 t y))))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 z (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z))) x) (patch (fma.f64 z (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (+ (* -1 (* t y)) (* 2 (pow z 2)))))) 1))) (taylor -inf x) (#s(alt (fma.f64 z (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z))) x) (patch (fma.f64 z (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (+ (* -1 (* t y)) (* 2 (pow z 2)))))) 1))) (taylor -inf x) (#s(alt (fma.f64 z (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z))) x) (patch (fma.f64 z (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (+ (* -1 (* t y)) (* 2 (pow z 2)))))) 1))) (taylor -inf x) (#s(alt (fma.f64 z (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z))) x) (patch (fma.f64 z (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (.f64 (.f64 z #s(literal 2 binary64)) z))) x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) (patch (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -2 (/ z (* t x))) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) (patch (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -2 (/ z (* t x))) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) (patch (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -2 (/ z (* t x))) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) (patch (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 #s(literal -2 binary64) (/.f64 z t)))) (patch (-.f64 x #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 #s(literal -2 binary64) (/.f64 z t)))) (patch (-.f64 x #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 #s(literal -2 binary64) (/.f64 z t)))) (patch (-.f64 x #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (.f64 #s(literal -2 binary64) (/.f64 z t)))) (patch (-.f64 x #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 t y))))) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 t y))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 t y))))) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 t y))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 t y))))) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 t y))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 t y))))) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 t y))))) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
15.0ms	z	@	inf	((/ (* -2 y) (+ (* (neg t) y) (* (* z 2) z))) (+ (* z (/ (* -2 y) (+ (* (neg t) y) (* (* z 2) z)))) x) (* -2 y) (+ (* (neg t) y) (* (* z 2) z)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ y z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (/ 2 t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* -2 (/ z t)) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (* 2 y) (/ z (+ (* (* -2 z) z) (* t y))) (neg t) (+ (* (* -2 z) z) (* t y)))
5.0ms	t	@	inf	((/ (* -2 y) (+ (* (neg t) y) (* (* z 2) z))) (+ (* z (/ (* -2 y) (+ (* (neg t) y) (* (* z 2) z)))) x) (* -2 y) (+ (* (neg t) y) (* (* z 2) z)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ y z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (/ 2 t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* -2 (/ z t)) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (* 2 y) (/ z (+ (* (* -2 z) z) (* t y))) (neg t) (+ (* (* -2 z) z) (* t y)))
4.0ms	y	@	inf	((/ (* -2 y) (+ (* (neg t) y) (* (* z 2) z))) (+ (* z (/ (* -2 y) (+ (* (neg t) y) (* (* z 2) z)))) x) (* -2 y) (+ (* (neg t) y) (* (* z 2) z)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ y z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (/ 2 t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* -2 (/ z t)) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (* 2 y) (/ z (+ (* (* -2 z) z) (* t y))) (neg t) (+ (* (* -2 z) z) (* t y)))
3.0ms	t	@	0	((/ (* -2 y) (+ (* (neg t) y) (* (* z 2) z))) (+ (* z (/ (* -2 y) (+ (* (neg t) y) (* (* z 2) z)))) x) (* -2 y) (+ (* (neg t) y) (* (* z 2) z)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ y z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (/ 2 t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* -2 (/ z t)) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (* 2 y) (/ z (+ (* (* -2 z) z) (* t y))) (neg t) (+ (* (* -2 z) z) (* t y)))
3.0ms	z	@	-inf	((/ (* -2 y) (+ (* (neg t) y) (* (* z 2) z))) (+ (* z (/ (* -2 y) (+ (* (neg t) y) (* (* z 2) z)))) x) (* -2 y) (+ (* (neg t) y) (* (* z 2) z)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ y z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (/ 2 t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* -2 (/ z t)) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (* 2 y) (/ z (+ (* (* -2 z) z) (* t y))) (neg t) (+ (* (* -2 z) z) (* t y)))

simplify224.0ms (2.9%)

Memory

28.7MiB live, 260.3MiB allocated

Algorithm

1×	egg-herbie

Rules

7 500×	`lower-fma.f64`
7 500×	`lower-fma.f32`
5 358×	`lower-*.f64`
5 358×	`lower-*.f32`
2 912×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	768	9680
1	2367	9534
2	7156	9522
0	8020	8991

Stop Event

1×	iter limit
1×	node limit

Counts

648 → 603

Calls

Call 1

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

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

rewrite372.0ms (4.9%)

Memory

-19.3MiB live, 176.1MiB allocated

Rules

6 664×	`lower-fma.f32`
6 656×	`lower-fma.f64`
5 230×	`lower-/.f32`
5 220×	`lower-/.f64`
4 572×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	238
0	62	238
1	249	236
2	1719	236
0	8937	236

Stop Event

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

Counts

20 → 525

Calls

Call 1

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

Outputs
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eval237.0ms (3.1%)

Memory: 22.8MiB live, 293.3MiB allocated
Compiler: Compiled 26 203 to 2 737 computations (89.6% saved)

prune31.0ms (0.4%)

Memory

9.6MiB live, 95.9MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	1 123	5	1 128
Fresh	0	1	1
Picked	4	1	5
Done	0	0	0
Total	1 127	7	1 134

Accuracy

100.0%

Counts

1 134 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.9%	(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)) (*.f64 #s(literal -2 binary64) y))) z x)
▶	58.6%	(fma.f64 z (/.f64 (.f64 #s(literal -2 binary64) y) #s(approx (+ ( (neg t) y) (* (* z 2) z)) (*.f64 (neg.f64 y) t))) x)
✓	60.3%	(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
▶	63.8%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x))
	20.4%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 y t (.f64 (.f64 z #s(literal -2 binary64)) z)))))
▶	18.6%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))))
▶	14.7%	#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 134 to 131 computations (2.2% saved)

simplify129.0ms (1.7%)

Memory

-6.8MiB live, 106.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (* (neg t) y) (* (* z 2) z)) (*.f64 (neg.f64 y) t))
cost-diff	0	(*.f64 #s(literal -2 binary64) y)
cost-diff	0	(/.f64 (.f64 #s(literal -2 binary64) y) #s(approx (+ ( (neg t) y) (* (* z 2) z)) (*.f64 (neg.f64 y) t)))
cost-diff	0	(fma.f64 z (/.f64 (.f64 #s(literal -2 binary64) y) #s(approx (+ ( (neg t) y) (* (* z 2) z)) (*.f64 (neg.f64 y) t))) x)
cost-diff	0	(/.f64 z t)
cost-diff	0	(fma.f64 (/.f64 z t) #s(literal 2 binary64) x)
cost-diff	0	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) 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 #s(literal -2 binary64) (.f64 z z) (.f64 t y))
cost-diff	0	(/.f64 (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)) (*.f64 #s(literal -2 binary64) y))
cost-diff	0	(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)) (*.f64 #s(literal -2 binary64) y))) z x)
cost-diff	704	(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)) (*.f64 #s(literal -2 binary64) y)))

Rules

2 456×	`lower-fma.f32`
2 448×	`lower-fma.f64`
1 888×	`lower-*.f32`
1 878×	`lower-*.f64`
1 232×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	49	294
0	67	287
1	129	287
2	216	283
3	427	277
4	920	277
5	2480	277
6	4727	277
7	5848	277
8	6623	277
9	6714	277
10	6750	277
11	6755	277
12	7523	277
0	8057	277

Stop Event

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

Calls

Call 1

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

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

localize133.0ms (1.7%)

Memory

-36.2MiB live, 258.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 y)
accuracy	2.3309484739615463	(fma.f64 z (/.f64 (.f64 #s(literal -2 binary64) y) #s(approx (+ ( (neg t) y) (* (* z 2) z)) (*.f64 (neg.f64 y) t))) x)
accuracy	13.63512296814766	(/.f64 (.f64 #s(literal -2 binary64) y) #s(approx (+ ( (neg t) y) (* (* z 2) z)) (*.f64 (neg.f64 y) t)))
accuracy	27.632206436426955	#s(approx (+ (* (neg t) y) (* (* z 2) z)) (*.f64 (neg.f64 y) t))
accuracy	0	(fma.f64 (/.f64 z t) #s(literal 2 binary64) x)
accuracy	0	(/.f64 z t)
accuracy	23.14121340478608	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x))
accuracy	0	(/.f64 z t)
accuracy	0	(*.f64 (/.f64 z t) #s(literal 2 binary64))
accuracy	23.14121340478608	#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	29.094660315520354	#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	32.8317773602154	#s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z))
accuracy	44.30132977322824	#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	0.20771241932811763	(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)) (*.f64 #s(literal -2 binary64) y)))
accuracy	1.3515563074906176	(fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y))
accuracy	2.3309484739615463	(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)) (*.f64 #s(literal -2 binary64) y))) z x)
accuracy	13.476554205866048	(/.f64 (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)) (*.f64 #s(literal -2 binary64) y))

Samples

108.0ms

256×

valid

Compiler

Compiled 235 to 47 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-mult: 46.0ms (52.1% of total)

ival-div: 29.0ms (32.9% of total)

ival-add: 8.0ms (9.1% of total)

ival-sub: 2.0ms (2.3% of total)

ival-neg: 2.0ms (2.3% of total)

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

exact: 0.0ms (0% of total)

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

series53.0ms (0.7%)

Memory

5.0MiB live, 124.3MiB allocated

Counts

18 → 624

Calls

Call 1

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

Calls

12 calls:

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

simplify167.0ms (2.2%)

Memory

23.7MiB live, 253.8MiB allocated

Algorithm

1×	egg-herbie

Rules

11 918×	`lower-fma.f64`
11 918×	`lower-fma.f32`
5 026×	`lower-*.f64`
5 026×	`lower-*.f32`
3 114×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	543	8523
1	1608	8447
2	4703	8327
0	8068	7803

Stop Event

1×	iter limit
1×	node limit

Counts

624 → 574

Calls

Call 1

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

rewrite286.0ms (3.7%)

Memory

3.7MiB live, 210.6MiB allocated

Rules

6 702×	`lower-fma.f32`
6 694×	`lower-fma.f64`
4 978×	`lower-*.f32`
4 968×	`lower-*.f64`
4 504×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	256
0	67	249
1	291	245
2	1867	245
0	8778	242

Stop Event

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

Counts

18 → 428

Calls

Call 1

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

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eval406.0ms (5.3%)

Memory: -0.6MiB live, 228.6MiB allocated
Compiler: Compiled 20 658 to 2 160 computations (89.5% saved)

prune145.0ms (1.9%)

Memory

-3.3MiB live, 81.0MiB allocated

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	1 089	2	1 091
Fresh	0	1	1
Picked	1	4	5
Done	0	1	1
Total	1 090	8	1 098

Accuracy

100.0%

Counts

1 098 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.7%	(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (+ (* -2 (* z z)) (* t y)) (* -2 y)) (fma.f64 t #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)))) z x)
✓	58.6%	(fma.f64 z (/.f64 (.f64 #s(literal -2 binary64) y) #s(approx (+ ( (neg t) y) (* (* z 2) z)) (*.f64 (neg.f64 y) t))) x)
✓	60.3%	(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
✓	63.8%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x))
▶	20.4%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 y t (.f64 (.f64 z #s(literal -2 binary64)) z)))))
✓	18.6%	#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))))
▶	18.5%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)))
✓	14.7%	#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 74 to 77 computations (-4.1% saved)

simplify282.0ms (3.7%)

Memory

6.5MiB live, 119.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

15 322×	`lower-fma.f32`
15 316×	`lower-fma.f64`
2 856×	`lower-*.f32`
2 844×	`lower-*.f64`
2 462×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	230
0	57	227
1	102	227
2	164	227
3	290	224
4	514	224
5	967	224
6	2621	212
7	4285	212
8	5103	212
9	5945	212
10	6368	212
11	6486	212
12	6536	212
13	7798	212
0	8120	208

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

localize172.0ms (2.2%)

Memory

-17.4MiB live, 106.1MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	#s(approx (/ (+ (* -2 (* z z)) (* t y)) (* -2 y)) (fma.f64 t #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)))
accuracy	0.20771241932811763	(/.f64 #s(literal -1 binary64) #s(approx (/ (+ (* -2 (* z z)) (* t y)) (* -2 y)) (fma.f64 t #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))))
accuracy	2.3309484739615463	(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (+ (* -2 (* z z)) (* t y)) (* -2 y)) (fma.f64 t #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)))) z x)
accuracy	7.86319542727723	(/.f64 (*.f64 z z) y)
accuracy	0.7499917428166807	(fma.f64 y t (.f64 (.f64 z #s(literal -2 binary64)) z))
accuracy	5.5816992608423055	(.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 y t (.f64 (.f64 z #s(literal -2 binary64)) z))))
accuracy	19.189334238542216	(/.f64 z (fma.f64 y t (.f64 (.f64 z #s(literal -2 binary64)) z)))
accuracy	44.30132977322824	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 y t (.f64 (.f64 z #s(literal -2 binary64)) z)))))
accuracy	0	(/.f64 #s(literal 2 binary64) t)
accuracy	0.19140625	(*.f64 (/.f64 #s(literal 2 binary64) t) z)
accuracy	23.14121340478608	#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	29.094660315520354	#s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))

Samples

114.0ms

256×

valid

Compiler

Compiled 175 to 39 computations (77.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

ival-mult: 50.0ms (63.6% of total)

ival-div: 20.0ms (25.4% of total)

ival-add: 5.0ms (6.4% of total)

ival-sub: 2.0ms (2.5% of total)

exact: 1.0ms (1.3% of total)

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

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

series146.0ms (1.9%)

Memory

19.0MiB live, 56.9MiB allocated

Counts

14 → 468

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

12 calls:

Time	Variable		Point	Expression
2.0ms	z	@	inf	((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ 2 t) z) (/ 2 t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* y t) (* (* z -2) z)))) (* 2 y) (/ z (+ (* y t) (* (* z -2) z))) (+ (* (/ -1 (/ (+ (* -2 (* z z)) (* t y)) (* -2 y))) z) x) (/ -1 (/ (+ (* -2 (* z z)) (* t y)) (* -2 y))) (/ (+ (* -2 (* z z)) (* t y)) (* -2 y)) (+ (* t -1/2) (/ (* z z) y)) (+ (* y t) (* (* z -2) 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) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* y t) (* (* z -2) z)))) (* 2 y) (/ z (+ (* y t) (* (* z -2) z))) (+ (* (/ -1 (/ (+ (* -2 (* z z)) (* t y)) (* -2 y))) z) x) (/ -1 (/ (+ (* -2 (* z z)) (* t y)) (* -2 y))) (/ (+ (* -2 (* z z)) (* t y)) (* -2 y)) (+ (* t -1/2) (/ (* z z) y)) (+ (* y t) (* (* z -2) z)) (/ (* z z) y))
2.0ms	z	@	0	((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ 2 t) z) (/ 2 t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* y t) (* (* z -2) z)))) (* 2 y) (/ z (+ (* y t) (* (* z -2) z))) (+ (* (/ -1 (/ (+ (* -2 (* z z)) (* t y)) (* -2 y))) z) x) (/ -1 (/ (+ (* -2 (* z z)) (* t y)) (* -2 y))) (/ (+ (* -2 (* z z)) (* t y)) (* -2 y)) (+ (* t -1/2) (/ (* z z) y)) (+ (* y t) (* (* z -2) z)) (/ (* z z) y))
1.0ms	t	@	0	((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ 2 t) z) (/ 2 t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* y t) (* (* z -2) z)))) (* 2 y) (/ z (+ (* y t) (* (* z -2) z))) (+ (* (/ -1 (/ (+ (* -2 (* z z)) (* t y)) (* -2 y))) z) x) (/ -1 (/ (+ (* -2 (* z z)) (* t y)) (* -2 y))) (/ (+ (* -2 (* z z)) (* t y)) (* -2 y)) (+ (* t -1/2) (/ (* z z) y)) (+ (* y t) (* (* z -2) 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) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* y t) (* (* z -2) z)))) (* 2 y) (/ z (+ (* y t) (* (* z -2) z))) (+ (* (/ -1 (/ (+ (* -2 (* z z)) (* t y)) (* -2 y))) z) x) (/ -1 (/ (+ (* -2 (* z z)) (* t y)) (* -2 y))) (/ (+ (* -2 (* z z)) (* t y)) (* -2 y)) (+ (* t -1/2) (/ (* z z) y)) (+ (* y t) (* (* z -2) z)) (/ (* z z) y))

simplify161.0ms (2.1%)

Memory

25.8MiB live, 255.1MiB allocated

Algorithm

1×	egg-herbie

Rules

7 610×	`lower-fma.f64`
7 610×	`lower-fma.f32`
5 378×	`lower-*.f64`
5 378×	`lower-*.f32`
2 578×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	693	6563
1	2105	6487
2	6334	6419
0	8185	6032

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 439

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

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

rewrite150.0ms (2%)

Memory

-4.0MiB live, 228.7MiB allocated

Rules

5 260×	`lower-/.f32`
5 252×	`lower-/.f64`
5 204×	`lower-fma.f32`
5 198×	`lower-fma.f64`
4 594×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	205
0	57	202
1	235	202
2	1724	202
0	8828	198

Stop Event

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

Counts

14 → 300

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

Outputs
#<batchref>
#<batchref>
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eval143.0ms (1.9%)

Memory: -10.4MiB live, 275.1MiB allocated
Compiler: Compiled 15 165 to 1 907 computations (87.4% saved)

prune48.0ms (0.6%)

Memory

-17.4MiB live, 68.6MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	738	1	739
Fresh	0	0	0
Picked	1	2	3
Done	0	5	5
Total	739	8	747

Accuracy

100.0%

Counts

747 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	58.6%	(fma.f64 z (/.f64 (.f64 #s(literal -2 binary64) y) #s(approx (+ ( (neg t) y) (* (* z 2) z)) (*.f64 (neg.f64 y) t))) x)
✓	60.3%	(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
	92.8%	(+.f64 (/.f64 (neg.f64 z) #s(approx (/ (+ (* -2 (* z z)) (* t y)) (* -2 y)) (fma.f64 #s(literal -1/2 binary64) t (/.f64 (*.f64 z z) y)))) x)
✓	63.8%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x))
✓	20.4%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 y t (.f64 (.f64 z #s(literal -2 binary64)) z)))))
✓	18.6%	#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))))
✓	18.5%	#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)))
✓	14.7%	#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 242 to 152 computations (37.2% saved)

regimes32.0ms (0.4%)

Memory

5.5MiB live, 84.1MiB allocated

Counts

15 → 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))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x))
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t))))
(fma.f64 z (/.f64 (.f64 #s(literal -2 binary64) y) #s(approx (+ ( (neg t) y) (* (* z 2) z)) (*.f64 (neg.f64 y) t))) x)
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 y t (.f64 (.f64 z #s(literal -2 binary64)) z)))))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (.f64 (.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (.f64 #s(literal -2 binary64) z) z (.f64 t y)))))
(+.f64 (/.f64 (neg.f64 z) #s(approx (/ (+ (* -2 (* z z)) (* t y)) (* -2 y)) (fma.f64 #s(literal -1/2 binary64) t (/.f64 (*.f64 z z) y)))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (+ (* -2 (* z z)) (* t y)) (* -2 y)) (fma.f64 t #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)))) z x)
(fma.f64 z (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (.f64 (*.f64 z #s(literal 2 binary64)) z))) x)
(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 t y)) (*.f64 #s(literal -2 binary64) y))) z x)

Outputs

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

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

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

Calls

6 calls:

6.0ms	t
6.0ms	x
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	y
5.0ms	z

Results

Accuracy	Segments	Branch
92.8%	1	`x`
92.8%	1	`y`
98.0%	3	`z`
92.8%	1	`t`
92.8%	1	`(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))`
92.8%	1	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`

Compiler

Compiled 36 to 41 computations (-13.9% saved)

regimes24.0ms (0.3%)

Memory

23.1MiB live, 62.4MiB allocated

Counts

10 → 3

Calls

Call 1

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

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 z t) #s(literal 2 binary64) x))

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

Calls

6 calls:

4.0ms	x
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	t
4.0ms	z
4.0ms	y

Results

Accuracy	Segments	Branch
77.4%	3	`t`
68.8%	2	`(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))`
69.9%	2	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`
68.6%	3	`x`
75.4%	3	`y`
89.0%	3	`z`

Compiler

Compiled 36 to 41 computations (-13.9% saved)

regimes5.0ms (0.1%)

Memory

-31.0MiB live, 9.4MiB 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:

4.0ms

Results

Accuracy	Segments	Branch
88.9%	3	`z`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes15.0ms (0.2%)

Memory

13.0MiB live, 52.3MiB allocated

Counts

4 → 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))))

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)))) #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:

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

Results

Accuracy	Segments	Branch
60.3%	1	`x`
60.3%	1	`(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))`
60.3%	1	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`
60.3%	1	`y`
60.3%	1	`t`
64.9%	3	`z`

Compiler

Compiled 36 to 41 computations (-13.9% saved)

regimes2.0ms (0%)

Memory

6.5MiB live, 6.5MiB allocated

Counts

3 → 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)))

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)))) #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:

2.0ms

Results

Accuracy	Segments	Branch
64.9%	3	`z`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes4.0ms (0%)

Memory

10.0MiB live, 10.0MiB 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	(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))
2.0ms	z

Results

Accuracy	Segments	Branch
60.3%	1	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`
60.3%	1	`z`

Compiler

Compiled 16 to 16 computations (0% saved)

regimes9.0ms (0.1%)

Memory

-7.5MiB live, 31.6MiB 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:

2.0ms	y
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	z
1.0ms	x

Results

Accuracy	Segments	Branch
14.7%	1	`t`
14.7%	1	`(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))`
14.7%	1	`z`
14.7%	1	`x`
14.7%	1	`y`
14.7%	1	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`

Compiler

Compiled 36 to 41 computations (-13.9% saved)

bsearch41.0ms (0.5%)

Memory

-16.1MiB live, 70.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
26.0ms	2.3480441788886254e+112	3.709534937314253e+112
12.0ms	-1.77007975667982e+147	-1.7105672117579918e+146

Samples

31.0ms

160×

valid

Compiler

Compiled 220 to 230 computations (-4.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 6.0ms (71.9% of total)

ival-div: 1.0ms (12% of total)

ival-sub: 1.0ms (12% of total)

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

exact: 0.0ms (0% of total)

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

bsearch41.0ms (0.5%)

Memory

17.0MiB live, 95.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	2.195938169404869e-10	3.597996072996824e-5
20.0ms	-1.2180482622471528e-26	-2.4389271943629287e-40

Samples

24.0ms

304×

valid

Compiler

Compiled 267 to 343 computations (-28.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 9.0ms (63% of total)

ival-sub: 3.0ms (21% of total)

ival-div: 2.0ms (14% 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

6.3MiB live, 6.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.195938169404869e-10	3.597996072996824e-5
1.0ms	-1.2180482622471528e-26	-2.4389271943629287e-40

Compiler

Compiled 267 to 343 computations (-28.5% saved)

bsearch42.0ms (0.5%)

Memory

-6.8MiB live, 72.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	9.247279732462306e-241	1.421892178592793e-226
17.0ms	-4.914524322578933e-198	-9.791156565118385e-203

Samples

27.0ms

288×

valid

Compiler

Compiled 254 to 344 computations (-35.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 11.0ms (68.2% of total)

ival-div: 2.0ms (12.4% of total)

ival-sub: 2.0ms (12.4% 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

3.9MiB live, 3.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	9.247279732462306e-241	1.421892178592793e-226
1.0ms	-4.914524322578933e-198	-9.791156565118385e-203

Compiler

Compiled 254 to 344 computations (-35.4% saved)

simplify32.0ms (0.4%)

Memory

-23.9MiB live, 52.9MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`-commutative-binary64-.f64`
16×	`+-commutative-binary64-+.f64`
14×	`sub-neg-binary64-neg.f64-+.f64--.f64`
12×	`neg-sub0-binary64--.f64-neg.f64`
12×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	78	446
1	92	445
2	107	445
3	117	445
4	122	445
5	123	445

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 z #s(literal -1699999999999999998084022174364452499023902169126733241299225081258200858871621368992927023931550848660278454439399631343632835227408668282987741184 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (if (<=.f64 z #s(literal 37000000000000000404819433916600385306321715192515103866465149687408628307332632395026881364405511562182665437184 binary64)) (+.f64 (/.f64 (neg.f64 z) #s(approx (/ (+ (* -2 (* z z)) (* t y)) (* -2 y)) (fma.f64 #s(literal -1/2 binary64) t (/.f64 (.f64 z z) y)))) x) (-.f64 x #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))))
(if (<=.f64 z #s(literal -1045347431181123/87112285931760246646623899502532662132736 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (if (<=.f64 z #s(literal 944473296573929/73786976294838206464 binary64)) #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))))
(if (<=.f64 z #s(literal -1045347431181123/87112285931760246646623899502532662132736 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (if (<=.f64 z #s(literal 944473296573929/73786976294838206464 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 z #s(literal -4853773991529749/44125218104815898389829825659447310364864904872680898823178155169729591099393726561029280015550468702670279148410687446533176513529349858556664892007608532912981188929417439383947376132698492620683708741856789536964608 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (if (<=.f64 z #s(literal 7830950290207997/223741436863085634409521749481834675708763587282583222886261325799305187541819563744885033326754909183041871165773435313081225474664635755472226765949723278285256830531087594548959384855304521689414375064310509745905707450052637371994990524269330432 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 z #s(literal -4853773991529749/44125218104815898389829825659447310364864904872680898823178155169729591099393726561029280015550468702670279148410687446533176513529349858556664892007608532912981188929417439383947376132698492620683708741856789536964608 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (if (<=.f64 z #s(literal 7830950290207997/223741436863085634409521749481834675708763587282583222886261325799305187541819563744885033326754909183041871165773435313081225474664635755472226765949723278285256830531087594548959384855304521689414375064310509745905707450052637371994990524269330432 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 z #s(literal -1699999999999999998084022174364452499023902169126733241299225081258200858871621368992927023931550848660278454439399631343632835227408668282987741184 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (if (<=.f64 z #s(literal 37000000000000000404819433916600385306321715192515103866465149687408628307332632395026881364405511562182665437184 binary64)) (+.f64 (/.f64 (neg.f64 z) #s(approx (/ (+ (* -2 (* z z)) (* t y)) (* -2 y)) (fma.f64 #s(literal -1/2 binary64) t (/.f64 (.f64 z z) y)))) x) (-.f64 x #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))))
(if (<=.f64 z #s(literal -1699999999999999998084022174364452499023902169126733241299225081258200858871621368992927023931550848660278454439399631343632835227408668282987741184 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (if (<=.f64 z #s(literal 37000000000000000404819433916600385306321715192515103866465149687408628307332632395026881364405511562182665437184 binary64)) (-.f64 x (/.f64 z #s(approx (/ (+ (* -2 (* z z)) (* t y)) (* -2 y)) (fma.f64 #s(literal -1/2 binary64) t (/.f64 (.f64 z z) y))))) (-.f64 x #s(approx (/ ( (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))))
(if (<=.f64 z #s(literal -1045347431181123/87112285931760246646623899502532662132736 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (if (<=.f64 z #s(literal 944473296573929/73786976294838206464 binary64)) #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))))
(if (<=.f64 z #s(literal -1045347431181123/87112285931760246646623899502532662132736 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (if (<=.f64 z #s(literal 944473296573929/73786976294838206464 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 z #s(literal -4853773991529749/44125218104815898389829825659447310364864904872680898823178155169729591099393726561029280015550468702670279148410687446533176513529349858556664892007608532912981188929417439383947376132698492620683708741856789536964608 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (if (<=.f64 z #s(literal 7830950290207997/223741436863085634409521749481834675708763587282583222886261325799305187541819563744885033326754909183041871165773435313081225474664635755472226765949723278285256830531087594548959384855304521689414375064310509745905707450052637371994990524269330432 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 z #s(literal -4853773991529749/44125218104815898389829825659447310364864904872680898823178155169729591099393726561029280015550468702670279148410687446533176513529349858556664892007608532912981188929417439383947376132698492620683708741856789536964608 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (if (<=.f64 z #s(literal 7830950290207997/223741436863085634409521749481834675708763587282583222886261325799305187541819563744885033326754909183041871165773435313081225474664635755472226765949723278285256830531087594548959384855304521689414375064310509745905707450052637371994990524269330432 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)))

soundness974.0ms (12.7%)

Memory

32.1MiB live, 768.8MiB allocated

Rules

11 918×	`lower-fma.f64`
11 918×	`lower-fma.f32`
10 952×	`lower-fma.f64`
10 952×	`lower-fma.f32`
8 416×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	256
0	67	249
1	291	245
2	1867	245
0	8778	242
0	42	205
0	57	202
1	235	202
2	1724	202
0	8828	198
0	543	8523
1	1608	8447
2	4703	8327
0	8068	7803
0	38	238
0	62	238
1	249	236
2	1719	236
0	8937	236
0	347	2232
1	1030	2196
2	3147	2169
0	8645	2049
0	768	9680
1	2367	9534
2	7156	9522
0	8020	8991
0	13	52
0	21	52
1	71	52
2	541	52
3	7465	52
0	8831	49

Stop Event

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

Compiler

Compiled 279 to 189 computations (32.3% saved)

preprocess51.0ms (0.7%)

Memory: 22.0MiB live, 98.8MiB allocated
Compiler: Compiled 366 to 156 computations (57.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze199.0ms (2.6%)

sample1.3s (17.3%)

explain166.0ms (2.2%)

preprocess195.0ms (2.5%)

eval0.0ms (0%)

prune4.0ms (0%)

simplify82.0ms (1.1%)

localize53.0ms (0.7%)

series39.0ms (0.5%)

simplify226.0ms (3%)

rewrite207.0ms (2.7%)

eval91.0ms (1.2%)

prune15.0ms (0.2%)

simplify128.0ms (1.7%)

localize142.0ms (1.8%)

series226.0ms (2.9%)

simplify224.0ms (2.9%)

rewrite372.0ms (4.9%)

eval237.0ms (3.1%)

prune31.0ms (0.4%)

simplify129.0ms (1.7%)

localize133.0ms (1.7%)

series53.0ms (0.7%)

simplify167.0ms (2.2%)

rewrite286.0ms (3.7%)

eval406.0ms (5.3%)

prune145.0ms (1.9%)

simplify282.0ms (3.7%)

localize172.0ms (2.2%)

series146.0ms (1.9%)

simplify161.0ms (2.1%)

rewrite150.0ms (2%)

eval143.0ms (1.9%)

prune48.0ms (0.6%)

regimes32.0ms (0.4%)

regimes24.0ms (0.3%)

regimes5.0ms (0.1%)

regimes15.0ms (0.2%)

regimes2.0ms (0%)

regimes4.0ms (0%)

regimes9.0ms (0.1%)

bsearch41.0ms (0.5%)

bsearch41.0ms (0.5%)

bsearch2.0ms (0%)

bsearch42.0ms (0.5%)

bsearch2.0ms (0%)

simplify32.0ms (0.4%)

soundness974.0ms (12.7%)

preprocess51.0ms (0.7%)

end0.0ms (0%)

Profiling