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

analyze208.0ms (2.6%)

Memory

36.7MiB live, 425.1MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
25%	25%	74.9%	0.2%	0%	0%	0%	5
25%	25%	74.9%	0.2%	0%	0%	0%	6
31.3%	31.2%	68.6%	0.2%	0%	0%	0%	7
40.6%	40.5%	59.3%	0.2%	0%	0%	0%	8
50%	49.9%	49.9%	0.2%	0%	0%	0%	9
50%	49.9%	49.9%	0.2%	0%	0%	0%	10
54.7%	54.6%	45.2%	0.2%	0%	0%	0%	11
62.5%	62.4%	37.4%	0.2%	0%	0%	0%	12

Compiler

Compiled 19 to 15 computations (21.1% saved)

sample1.9s (23.5%)

Memory

44.7MiB live, 1 969.5MiB allocated

Samples

1.4s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 984.0ms

ival-mult: 601.0ms (61.1% of total)

ival-div: 233.0ms (23.7% of total)

ival-sub: 135.0ms (13.7% of total)

ival-true: 6.0ms (0.6% of total)

exact: 5.0ms (0.5% of total)

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

Bogosity

preprocess201.0ms (2.5%)

Memory

-21.1MiB live, 177.5MiB allocated

Algorithm

2×	egg-herbie

Rules

1 048×	`times-frac`
1 016×	`accelerator-lowering-fma.f32`
1 016×	`accelerator-lowering-fma.f64`
908×	`div-sub`
822×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	267
1	219	261
2	604	255
3	1960	255
4	4425	255
5	6251	255
6	7551	255
7	7811	255
8	7864	255
9	7899	255
0	13	17
1	30	17
2	72	17
3	187	17
4	384	17
5	684	17
6	1546	17
7	2292	17
8	2465	17
9	2519	17
10	2542	17
11	2544	17
12	2553	17
13	2565	17
14	2580	17
15	2580	17
0	2580	15

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

Inputs
(- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))))

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

Call 2

Inputs
(- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))))
(- (neg x) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))))
(- x (/ (* (* (neg y) 2) z) (- (* (* z 2) z) (* (neg y) t))))
(- x (/ (* (* y 2) (neg z)) (- (* (* (neg z) 2) (neg z)) (* y t))))
(- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y (neg t)))))
(neg (- (neg x) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))))
(neg (- x (/ (* (* (neg y) 2) z) (- (* (* z 2) z) (* (neg y) t)))))
(neg (- x (/ (* (* y 2) (neg z)) (- (* (* (neg z) 2) (neg z)) (* y t)))))
(neg (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y (neg t))))))
(- y (/ (* (* x 2) z) (- (* (* z 2) z) (* x t))))
(- z (/ (* (* y 2) x) (- (* (* x 2) x) (* y t))))
(- t (/ (* (* y 2) z) (- (* (* z 2) z) (* y x))))
(- x (/ (* (* z 2) y) (- (* (* y 2) y) (* z t))))
(- x (/ (* (* t 2) z) (- (* (* z 2) z) (* t y))))
(- x (/ (* (* y 2) t) (- (* (* t 2) t) (* y z))))

Outputs
(- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))))
(+ x (* y (/ (* z -2) (- (* 2 (* z z)) (* y t)))))
(- (neg x) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))))
(- (* y (/ (* z -2) (- (* 2 (* z z)) (* y t)))) x)
(- x (/ (* (* (neg y) 2) z) (- (* (* z 2) z) (* (neg y) t))))
(+ x (/ (* y (* 2 z)) (+ (* 2 (* z z)) (* y t))))
(- x (/ (* (* y 2) (neg z)) (- (* (* (neg z) 2) (neg z)) (* y t))))
(+ x (* y (/ (* z -2) (+ (* y t) (* z (* z -2))))))
(- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y (neg t)))))
(+ x (/ (* y (* 2 z)) (- (* z (* z -2)) (* y t))))
(neg (- (neg x) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))))
(+ x (* y (/ (* z -2) (+ (* y t) (* z (* z -2))))))
(neg (- x (/ (* (* (neg y) 2) z) (- (* (* z 2) z) (* (neg y) t)))))
(- (/ (* y (* 2 z)) (- (* z (* z -2)) (* y t))) x)
(neg (- x (/ (* (* y 2) (neg z)) (- (* (* (neg z) 2) (neg z)) (* y t)))))
(- (* y (/ (* z -2) (- (* 2 (* z z)) (* y t)))) x)
(neg (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y (neg t))))))
(- (/ (* y (* 2 z)) (+ (* 2 (* z z)) (* y t))) x)
(- y (/ (* (* x 2) z) (- (* (* z 2) z) (* x t))))
(+ y (/ (* x (* 2 z)) (+ (* x t) (* z (* z -2)))))
(- z (/ (* (* y 2) x) (- (* (* x 2) x) (* y t))))
(+ z (/ (* x (* y 2)) (+ (* y t) (* x (* x -2)))))
(- t (/ (* (* y 2) z) (- (* (* z 2) z) (* y x))))
(+ t (/ (* y (* 2 z)) (+ (* x y) (* z (* z -2)))))
(- x (/ (* (* z 2) y) (- (* (* y 2) y) (* z t))))
(+ x (/ (* y (* 2 z)) (+ (* z t) (* y (* y -2)))))
(- x (/ (* (* t 2) z) (- (* (* z 2) z) (* t y))))
(+ x (/ (* z (* 2 t)) (+ (* y t) (* z (* z -2)))))
(- x (/ (* (* y 2) t) (- (* (* t 2) t) (* y z))))
(+ x (* y (/ (* 2 t) (+ (* y z) (* t (* t -2))))))

explain192.0ms (2.4%)

Memory

21.8MiB live, 299.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
82	1	(-3.218560673084671e+174 -2.959119946842207e-139 -9.889287619704462e+184 -1.2590647976304926e-184)	2	(1.5965054242292686e-206 9.774661272575046e-19 -1.7110496283243072e-304 -5.381036926374405e-254)	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`
5	0	-	0	-	`(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))`
1	0	-	1	(0.020217370351726906 3.578526985190318e-87 1.73480655038871e-85 6.630876605717768e-255)	`(-.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	-	`(*.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	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`	o/o	12	0
↳	`(.f64 (.f64 y #s(literal 2 binary64)) z)`	overflow	31
↳	`(*.f64 z #s(literal 2 binary64))`	overflow	1
↳	`(*.f64 y t)`	overflow	32
↳	`(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))`	overflow	93
↳	`(.f64 (.f64 z #s(literal 2 binary64)) z)`	overflow	71
`-.f64`	`(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))`	nan-rescue	5	0
↳	`(*.f64 z #s(literal 2 binary64))`	overflow	1
↳	`(.f64 (.f64 z #s(literal 2 binary64)) z)`	overflow	71
↳	`(*.f64 y t)`	overflow	32
`/.f64`	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`	n/o	4	0
↳	`(*.f64 z #s(literal 2 binary64))`	overflow	1
↳	`(*.f64 y t)`	overflow	32
↳	`(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))`	overflow	93
↳	`(.f64 (.f64 z #s(literal 2 binary64)) z)`	overflow	71
`/.f64`	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`	u/n	3	0
↳	`(.f64 (.f64 y #s(literal 2 binary64)) z)`	underflow	25
`/.f64`	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`	u/u	2	0
↳	`(.f64 (.f64 y #s(literal 2 binary64)) z)`	underflow	25
↳	`(*.f64 y t)`	underflow	23
↳	`(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))`	underflow	4
↳	`(.f64 (.f64 z #s(literal 2 binary64)) z)`	underflow	55
`/.f64`	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`	o/n	1	0
↳	`(.f64 (.f64 y #s(literal 2 binary64)) z)`	overflow	31

Confusion

	Predicted +	Predicted -
+	25	20
-	1	210

Precision

0.9615384615384616

Recall

0.5555555555555556

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	25	1	19
-	1	0	210

Precision?

0.9629629629629629

Recall?

0.5777777777777777

Freqs

test

number	freq
0	230
1	25
2	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

69.0ms

512×

valid

Compiler

Compiled 176 to 56 computations (68.2% saved)

Precisions

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

ival-mult: 16.0ms (64.6% of total)

ival-div: 4.0ms (16.2% of total)

ival-sub: 4.0ms (16.2% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	83.5%	(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))

Compiler

Compiled 21 to 13 computations (38.1% saved)

simplify93.0ms (1.2%)

Memory

3.9MiB live, 41.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	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

1 048×	`times-frac`
1 016×	`accelerator-lowering-fma.f32`
1 016×	`accelerator-lowering-fma.f64`
792×	`-lowering-.f32`
792×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	65
1	30	65
2	72	65
3	187	65
4	384	65
5	684	65
6	1546	65
7	2292	65
8	2465	65
9	2519	65
10	2542	65
11	2544	65
12	2553	65
13	2565	65
14	2580	65
15	2580	65
0	2580	62

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))))
x
(/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))
(* (* y 2) z)
(* y 2)
y
2
z
(- (* (* z 2) z) (* y t))
(* (* z 2) z)
(* z 2)
(* y t)
t

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

localize52.0ms (0.7%)

Memory

-1.5MiB live, 74.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y #s(literal 2 binary64))
✓	accuracy	100.0%	(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
✓	accuracy	98.3%	(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))
✓	accuracy	70.6%	(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))

Samples

39.0ms

256×

valid

Compiler

Compiled 67 to 15 computations (77.6% saved)

Precisions

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

ival-mult: 21.0ms (84.1% of total)

ival-div: 2.0ms (8% of total)

ival-sub: 2.0ms (8% of total)

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

exact: 0.0ms (0% of total)

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

series26.0ms (0.3%)

Memory

-12.2MiB live, 30.8MiB allocated

Counts

5 → 156

Calls

Call 1

Inputs
#<alt (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))))>
#<alt (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))>
#<alt (* (* y 2) z)>
#<alt (* y 2)>
#<alt (- (* (* z 2) z) (* y t))>

Outputs
#<alt (* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))>
#<alt (- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))>
#<alt (- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))>
#<alt (- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))>
#<alt x>
#<alt (* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))>
#<alt (* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))>
#<alt (* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))>
#<alt x>
#<alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))>
#<alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))>
#<alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))>
#<alt x>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))))>
#<alt (+ x (* y (- (* y (- (* -1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z))))>
#<alt (- x (* -2 (/ z t)))>
#<alt (- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))>
#<alt (- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))>
#<alt (- (+ 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)))))>
#<alt (- x (* -2 (/ z t)))>
#<alt (- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))>
#<alt (- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))>
#<alt (- (+ 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)))>
#<alt x>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t)))))>
#<alt (+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))))>
#<alt x>
#<alt (+ x (* -1 (/ y z)))>
#<alt (- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))>
#<alt (- (+ x (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5)))) (+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z)))>
#<alt x>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* -1 (/ (- (* 1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1 y)) z)))>
#<alt (+ 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)))>
#<alt (- x (/ y z))>
#<alt (- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))>
#<alt (- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))>
#<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))>
#<alt x>
#<alt (+ x (* 2 (/ z t)))>
#<alt (- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))>
#<alt (- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))>
#<alt x>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* -1 (/ (- (* -4 (/ (pow z 3) (* t y))) (* 2 z)) t)))>
#<alt (+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t)))>
#<alt (/ y z)>
#<alt (* y (+ (* 1/2 (/ (* t y) (pow z 3))) (/ 1 z)))>
#<alt (* y (+ (* y (+ (* 1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z)))>
#<alt (* 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)))>
#<alt (* -2 (/ z t))>
#<alt (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))>
#<alt (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))>
#<alt (+ (* -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)))))>
#<alt (* -2 (/ z t))>
#<alt (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))>
#<alt (+ (* -2 (/ z t)) (* -1 (/ (+ (* 4 (/ (pow z 3) (pow t 2))) (* 8 (/ (pow z 5) (* (pow t 3) y)))) y)))>
#<alt (+ (* -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)))>
#<alt (* -2 (/ z t))>
#<alt (* z (- (* -4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t))))>
#<alt (* z (- (* (pow z 2) (- (* -8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))>
#<alt (* 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))))>
#<alt (/ y z)>
#<alt (/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z)>
#<alt (/ (+ y (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2))))) z)>
#<alt (/ (+ 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)>
#<alt (/ y z)>
#<alt (* -1 (/ (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2)))) z))>
#<alt (* -1 (/ (+ (* -1 y) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))))) z))>
#<alt (* -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))>
#<alt (/ y z)>
#<alt (+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z))>
#<alt (+ (* t (+ (* 1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3))))) (/ y z))>
#<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))>
#<alt (* -2 (/ z t))>
#<alt (/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t)>
#<alt (/ (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z))) t)>
#<alt (/ (+ (* -16 (/ (pow z 7) (* (pow t 3) (pow y 3)))) (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)))) t)>
#<alt (* -2 (/ z t))>
#<alt (* -1 (/ (+ (* 2 z) (* 4 (/ (pow z 3) (* t y)))) t))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t))>
#<alt (* -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))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* -1 (* t y))>
#<alt (- (* 2 (pow z 2)) (* t y))>
#<alt (- (* 2 (pow z 2)) (* t y))>
#<alt (- (* 2 (pow z 2)) (* t y))>
#<alt (* 2 (pow z 2))>
#<alt (* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))>
#<alt (* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))>
#<alt (* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))>
#<alt (* 2 (pow z 2))>
#<alt (* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))>
#<alt (* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))>
#<alt (* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))>
#<alt (* 2 (pow z 2))>
#<alt (+ (* -1 (* t y)) (* 2 (pow z 2)))>
#<alt (+ (* -1 (* t y)) (* 2 (pow z 2)))>
#<alt (+ (* -1 (* t y)) (* 2 (pow z 2)))>
#<alt (* -1 (* t y))>
#<alt (* y (- (* 2 (/ (pow z 2) y)) t))>
#<alt (* y (- (* 2 (/ (pow z 2) y)) t))>
#<alt (* y (- (* 2 (/ (pow z 2) y)) t))>
#<alt (* -1 (* t y))>
#<alt (* -1 (* y (- (* -2 (/ (pow z 2) y)) (* -1 t))))>
#<alt (* -1 (* y (- (* -2 (/ (pow z 2) y)) (* -1 t))))>
#<alt (* -1 (* y (- (* -2 (/ (pow z 2) y)) (* -1 t))))>
#<alt (* 2 (pow z 2))>
#<alt (+ (* -1 (* t y)) (* 2 (pow z 2)))>
#<alt (+ (* -1 (* t y)) (* 2 (pow z 2)))>
#<alt (+ (* -1 (* t y)) (* 2 (pow z 2)))>
#<alt (* -1 (* t y))>
#<alt (* t (- (* 2 (/ (pow z 2) t)) y))>
#<alt (* t (- (* 2 (/ (pow z 2) t)) y))>
#<alt (* t (- (* 2 (/ (pow z 2) t)) y))>
#<alt (* -1 (* t y))>
#<alt (* -1 (* t (- (* -2 (/ (pow z 2) t)) (* -1 y))))>
#<alt (* -1 (* t (- (* -2 (/ (pow z 2) t)) (* -1 y))))>
#<alt (* -1 (* t (- (* -2 (/ (pow z 2) t)) (* -1 y))))>

Calls

39 calls:

Time	Variable		Point	Expression
9.0ms	y	@	-inf	(- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))))
1.0ms	x	@	0	(- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))))
1.0ms	z	@	inf	(/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))
1.0ms	z	@	0	(- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))))
1.0ms	y	@	inf	(- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))))

rewrite436.0ms (5.5%)

Memory

-20.2MiB live, 656.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 416×	`accelerator-lowering-fma.f32`
8 416×	`accelerator-lowering-fma.f64`
6 098×	`-lowering-.f32`
6 098×	`-lowering-.f64`
3 214×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	49
1	63	49
2	533	49
3	7409	49
0	8775	46

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 400

Calls

Call 1

Inputs
(- 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))

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

simplify457.0ms (5.8%)

Memory

11.3MiB live, 638.8MiB allocated

Algorithm

1×	egg-herbie

Rules

10 952×	`accelerator-lowering-fma.f32`
10 952×	`accelerator-lowering-fma.f64`
5 728×	`-lowering-.f32`
5 728×	`-lowering-.f64`
3 132×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	347	2176
1	1030	2127
2	3143	2097
0	8600	1977

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

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

Outputs
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))
(/.f64 (.f64 y (.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 y t)))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(fma.f64 y (/.f64 (.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 y t))) x)
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(fma.f64 y (/.f64 (.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 y t))) x)
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(fma.f64 y (/.f64 (.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 y t))) x)
x
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(fma.f64 x (/.f64 (.f64 y (.f64 z #s(literal 2 binary64))) (.f64 x (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 y t)))) x)
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(fma.f64 x (/.f64 (.f64 y (.f64 z #s(literal 2 binary64))) (.f64 x (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 y t)))) x)
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(fma.f64 x (/.f64 (.f64 y (.f64 z #s(literal 2 binary64))) (.f64 x (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 y t)))) x)
x
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(fma.f64 x (/.f64 (.f64 y (.f64 z #s(literal 2 binary64))) (.f64 x (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 y t)))) x)
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(fma.f64 x (/.f64 (.f64 y (.f64 z #s(literal 2 binary64))) (.f64 x (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 y t)))) x)
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(fma.f64 x (/.f64 (.f64 y (.f64 z #s(literal 2 binary64))) (.f64 x (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 y t)))) x)
x
(+ x (* -1 (/ y z)))
(-.f64 x (/.f64 y z))
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))))
(fma.f64 y (fma.f64 (.f64 y t) (/.f64 #s(literal -1/2 binary64) (.f64 z (*.f64 z z))) (/.f64 #s(literal -1 binary64) z)) x)
(+ x (* y (- (* y (- (* -1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z))))
(fma.f64 y (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 t (.f64 z (.f64 z z))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 y (*.f64 t t))) (pow.f64 z #s(literal 5 binary64)))) (/.f64 #s(literal -1 binary64) z)) x)
(- x (* -2 (/ z t)))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(fma.f64 z (fma.f64 z (.f64 z (/.f64 #s(literal 4 binary64) (.f64 y (*.f64 t t)))) (/.f64 #s(literal 2 binary64) t)) x)
(- (+ 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 (pow.f64 z #s(literal 5 binary64)) (/.f64 #s(literal 8 binary64) (.f64 y (.f64 y (.f64 t t)))) (fma.f64 z #s(literal 2 binary64) (.f64 (.f64 z (.f64 z z)) (/.f64 #s(literal 4 binary64) (*.f64 y t))))) 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)))))
(+.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (pow.f64 z #s(literal 7 binary64)) (.f64 (.f64 y y) (.f64 y (pow.f64 t #s(literal 4 binary64))))) x) (/.f64 (fma.f64 (pow.f64 z #s(literal 5 binary64)) (/.f64 #s(literal 8 binary64) (.f64 y (.f64 y (.f64 t t)))) (fma.f64 z #s(literal 2 binary64) (.f64 (.f64 z (.f64 z z)) (/.f64 #s(literal 4 binary64) (.f64 y t))))) t))
(- x (* -2 (/ z t)))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(fma.f64 z (fma.f64 z (.f64 z (/.f64 #s(literal 4 binary64) (.f64 y (*.f64 t t)))) (/.f64 #s(literal 2 binary64) t)) x)
(- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))
(+.f64 x (/.f64 (fma.f64 (pow.f64 z #s(literal 5 binary64)) (/.f64 #s(literal 8 binary64) (.f64 y (.f64 y (.f64 t t)))) (fma.f64 z #s(literal 2 binary64) (.f64 (.f64 z (.f64 z z)) (/.f64 #s(literal 4 binary64) (*.f64 y t))))) 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)))
(+.f64 (fma.f64 z (/.f64 #s(literal 2 binary64) t) x) (/.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (pow.f64 z #s(literal 7 binary64)) (.f64 y (.f64 y (pow.f64 t #s(literal 4 binary64))))) (fma.f64 (pow.f64 z #s(literal 5 binary64)) (/.f64 #s(literal 8 binary64) (.f64 y (.f64 t (.f64 t t)))) (.f64 (.f64 z (.f64 z z)) (/.f64 #s(literal 4 binary64) (*.f64 t t))))) y))
x
(+ x (* 2 (/ z t)))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t)))))
(fma.f64 z (fma.f64 z (.f64 z (/.f64 #s(literal 4 binary64) (.f64 y (*.f64 t t)))) (/.f64 #s(literal 2 binary64) t)) x)
(+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))))
(fma.f64 z (fma.f64 (.f64 z z) (fma.f64 (.f64 z z) (/.f64 #s(literal 8 binary64) (.f64 y (.f64 y (.f64 t (.f64 t t))))) (/.f64 #s(literal 4 binary64) (.f64 y (.f64 t t)))) (/.f64 #s(literal 2 binary64) t)) x)
x
(+ x (* -1 (/ y z)))
(-.f64 x (/.f64 y z))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(-.f64 x (/.f64 (fma.f64 (.f64 t (.f64 y y)) (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) 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)))
(-.f64 (fma.f64 (.f64 t t) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 y (.f64 y y))) (pow.f64 z #s(literal 5 binary64))) x) (/.f64 (fma.f64 (.f64 t (.f64 y y)) (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) y) z))
x
(+ x (* -1 (/ y z)))
(-.f64 x (/.f64 y z))
(+ x (* -1 (/ (- (* 1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1 y)) z)))
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eval78.0ms (1%)

Memory: 1.1MiB live, 154.9MiB allocated
Compiler: Compiled 22 808 to 1 532 computations (93.3% saved)

prune77.0ms (1%)

Memory

-9.2MiB live, 182.1MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	551	5	556
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	552	5	557

Accuracy

100.0%

Counts

557 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.0%	(fma.f64 (.f64 #s(literal 2 binary64) z) (/.f64 y (fma.f64 y t (.f64 (*.f64 z z) #s(literal -2 binary64)))) x)
▶	59.9%	(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
▶	59.9%	(-.f64 x (/.f64 (*.f64 #s(literal -2 binary64) z) t))
▶	64.2%	(-.f64 x (/.f64 y z))
▶	74.8%	x

Compiler

Compiled 108 to 74 computations (31.5% saved)

simplify203.0ms (2.6%)

Memory

11.9MiB live, 126.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Rules

1 368×	`accelerator-lowering-fma.f32`
1 368×	`accelerator-lowering-fma.f64`
1 016×	`-lowering-.f32`
1 016×	`-lowering-.f64`
484×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	99
1	45	99
2	83	99
3	135	99
4	232	99
5	433	99
6	656	99
7	875	99
8	1309	99
9	1910	99
10	2472	99
11	2633	99
12	2656	99
13	2659	99
14	2659	99
15	2671	99
16	2686	99
17	2686	99
0	2686	93

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* (* 2 z) (/ y (+ (* y t) (* (* z z) -2)))) x)
(* 2 z)
2
z
(/ y (+ (* y t) (* (* z z) -2)))
y
(+ (* y t) (* (* z z) -2))
t
(* (* z z) -2)
(* z z)
-2
x
x
(- x (/ y z))
x
(/ y z)
y
z
(+ (* z (/ 2 t)) x)
z
(/ 2 t)
2
t
x
(- x (/ (* -2 z) t))
x
(/ (* -2 z) t)
(* -2 z)
-2
z
t

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

localize78.0ms (1%)

Memory

-22.2MiB live, 146.9MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (*.f64 #s(literal -2 binary64) z) t)
✓	accuracy	100.0%	(-.f64 x (/.f64 (*.f64 #s(literal -2 binary64) z) t))
✓	accuracy	100.0%	(*.f64 #s(literal -2 binary64) z)
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) t)
✓	accuracy	99.8%	(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	100.0%	(-.f64 x (/.f64 y z))
✓	accuracy	100.0%	(.f64 (.f64 z z) #s(literal -2 binary64))
✓	accuracy	99.2%	(fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64)))
✓	accuracy	97.0%	(fma.f64 (.f64 #s(literal 2 binary64) z) (/.f64 y (fma.f64 y t (.f64 (*.f64 z z) #s(literal -2 binary64)))) x)
✓	accuracy	85.0%	(/.f64 y (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64))))

Samples

48.0ms

256×

valid

Compiler

Compiled 96 to 24 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-div: 14.0ms (41.8% of total)

ival-mult: 10.0ms (29.9% of total)

ival-add: 6.0ms (17.9% of total)

ival-sub: 2.0ms (6% of total)

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

exact: 0.0ms (0% of total)

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

series23.0ms (0.3%)

Memory

11.7MiB live, 50.3MiB allocated

Counts

12 → 324

Calls

Call 1

Inputs
#<alt (+ (* (* 2 z) (/ y (+ (* y t) (* (* z z) -2)))) x)>
#<alt (* 2 z)>
#<alt (/ y (+ (* y t) (* (* z z) -2)))>
#<alt (+ (* y t) (* (* z z) -2))>
#<alt (- x (/ y z))>
#<alt (/ y z)>
#<alt (+ (* z (/ 2 t)) x)>
#<alt (/ 2 t)>
#<alt (- x (/ (* -2 z) t))>
#<alt (/ (* -2 z) t)>
#<alt (* -2 z)>
#<alt (* (* z z) -2)>

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

Calls

81 calls:

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

rewrite353.0ms (4.5%)

Memory

5.9MiB live, 604.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 010×	`accelerator-lowering-fma.f32`
8 010×	`accelerator-lowering-fma.f64`
4 576×	`-lowering-.f32`
4 576×	`-lowering-.f64`
3 690×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	78
1	127	78
2	1121	78
0	8498	72

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 400

Calls

Call 1

Inputs
(+ (* (* 2 z) (/ y (+ (* y t) (* (* z z) -2)))) x)
(* 2 z)
(/ y (+ (* y t) (* (* z z) -2)))
(+ (* y t) (* (* z z) -2))
(- x (/ y z))
(/ y z)
(+ (* z (/ 2 t)) x)
(/ 2 t)
(- x (/ (* -2 z) t))
(/ (* -2 z) t)
(* -2 z)
(* (* z z) -2)

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

simplify558.0ms (7.1%)

Memory

7.7MiB live, 752.5MiB allocated

Algorithm

1×	egg-herbie

Rules

14 360×	`accelerator-lowering-fma.f32`
14 360×	`accelerator-lowering-fma.f64`
6 044×	`-lowering-.f32`
6 044×	`-lowering-.f64`
3 096×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	407	3060
1	1193	3041
2	3666	2999
0	8172	2807

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

Calls

Call 1

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

eval204.0ms (2.6%)

Memory: 6.8MiB live, 158.2MiB allocated
Compiler: Compiled 15 601 to 1 209 computations (92.3% saved)

prune170.0ms (2.2%)

Memory

13.4MiB live, 95.8MiB allocated

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	720	4	724
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	721	8	729

Accuracy

100.0%

Counts

729 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.9%	(fma.f64 (/.f64 y (*.f64 x z)) (neg.f64 x) x)
✓	92.0%	(fma.f64 (.f64 #s(literal 2 binary64) z) (/.f64 y (fma.f64 y t (.f64 (*.f64 z z) #s(literal -2 binary64)))) x)
✓	59.9%	(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
▶	64.2%	(fma.f64 y (/.f64 #s(literal -1 binary64) z) x)
▶	14.2%	(/.f64 (neg.f64 y) z)
✓	64.2%	(-.f64 x (/.f64 y z))
▶	15.9%	(*.f64 #s(literal 2 binary64) (/.f64 z t))
✓	74.8%	x

Compiler

Compiled 83 to 57 computations (31.3% saved)

simplify677.0ms (8.6%)

Memory

-28.0MiB live, 258.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	(*.f64 x z)
✓	cost-diff	0	(/.f64 y (*.f64 x z))
✓	cost-diff	640	(fma.f64 (/.f64 y (*.f64 x z)) (neg.f64 x) x)
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) z)
✓	cost-diff	192	(fma.f64 y (/.f64 #s(literal -1 binary64) z) x)
✓	cost-diff	0	(neg.f64 y)
✓	cost-diff	0	(/.f64 (neg.f64 y) z)
✓	cost-diff	0	(/.f64 z t)
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) (/.f64 z t))

Rules

16 060×	`accelerator-lowering-fma.f32`
16 060×	`accelerator-lowering-fma.f64`
2 106×	`-lowering-.f32`
2 106×	`-lowering-.f64`
1 400×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	53
1	41	51
2	86	49
3	214	49
4	396	49
5	901	49
6	2344	49
7	4773	49
8	6930	49
9	7511	49
10	7601	49
11	7677	49
0	8170	49

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* 2 (/ z t))
2
(/ z t)
z
t
(/ (neg y) z)
(neg y)
y
z
(+ (* y (/ -1 z)) x)
y
(/ -1 z)
-1
z
x
(+ (* (/ y (* x z)) (neg x)) x)
(/ y (* x z))
y
(* x z)
x
z
(neg x)

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

localize49.0ms (0.6%)

Memory

27.8MiB live, 104.1MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x z)
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	92.1%	(/.f64 y (*.f64 x z))
✓	accuracy	90.8%	(fma.f64 (/.f64 y (*.f64 x z)) (neg.f64 x) x)
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) z)
✓	accuracy	99.8%	(fma.f64 y (/.f64 #s(literal -1 binary64) z) x)
✓	accuracy	100.0%	(/.f64 (neg.f64 y) z)
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	100.0%	(/.f64 z t)
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) (/.f64 z t))

Samples

33.0ms

256×

valid

Compiler

Compiled 56 to 20 computations (64.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 9.0ms (43% of total)

ival-div: 7.0ms (33.4% of total)

ival-add: 2.0ms (9.5% of total)

ival-neg: 2.0ms (9.5% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.1%)

Memory

-10.1MiB live, 27.3MiB allocated

Counts

10 → 240

Calls

Call 1

Inputs
#<alt (* 2 (/ z t))>
#<alt (/ z t)>
#<alt (/ (neg y) z)>
#<alt (neg y)>
#<alt (+ (* y (/ -1 z)) x)>
#<alt (/ -1 z)>
#<alt (+ (* (/ y (* x z)) (neg x)) x)>
#<alt (/ y (* x z))>
#<alt (* x z)>
#<alt (neg x)>

Outputs
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt x>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* -1 (/ y z)))>
#<alt (* -1 (/ y z))>
#<alt (* y (- (/ x y) (/ 1 z)))>
#<alt (* y (- (/ x y) (/ 1 z)))>
#<alt (* y (- (/ x y) (/ 1 z)))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (/ 1 z))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (/ 1 z))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (/ 1 z))))>
#<alt (* -1 (/ y z))>
#<alt (/ (+ (* -1 y) (* x z)) z)>
#<alt (/ (+ (* -1 y) (* x z)) z)>
#<alt (/ (+ (* -1 y) (* x z)) z)>
#<alt x>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* -1 (/ y z)))>
#<alt x>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* -1 (/ y z)))>
#<alt (* -1 (/ y z))>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* -1 (/ y z)))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y (* x z)))))>
#<alt (* x (+ 1 (* -1 (/ y (* x z)))))>
#<alt (* x (+ 1 (* -1 (/ y (* x z)))))>
#<alt x>
#<alt (* -1 (* x (- (/ y (* x z)) 1)))>
#<alt (* -1 (* x (- (/ y (* x z)) 1)))>
#<alt (* -1 (* x (- (/ y (* x z)) 1)))>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt x>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* -1 (/ y z)))>
#<alt (* -1 (/ y z))>
#<alt (* y (- (/ x y) (/ 1 z)))>
#<alt (* y (- (/ x y) (/ 1 z)))>
#<alt (* y (- (/ x y) (/ 1 z)))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (/ 1 z))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (/ 1 z))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (/ 1 z))))>
#<alt (* -1 (/ y z))>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* -1 (/ y z)))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y (* x z)))))>
#<alt (* x (+ 1 (* -1 (/ y (* x z)))))>
#<alt (* x (+ 1 (* -1 (/ y (* x z)))))>
#<alt x>
#<alt (* -1 (* x (- (/ y (* x z)) 1)))>
#<alt (* -1 (* x (- (/ y (* x z)) 1)))>
#<alt (* -1 (* x (- (/ y (* x z)) 1)))>
#<alt (* -1 (/ y z))>
#<alt (/ (+ (* -1 y) (* x z)) z)>
#<alt (/ (+ (* -1 y) (* x z)) z)>
#<alt (/ (+ (* -1 y) (* x z)) z)>
#<alt x>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* -1 (/ y z)))>
#<alt x>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* -1 (/ y z)))>
#<alt (/ y (* x z))>
#<alt (/ y (* x z))>
#<alt (/ y (* x z))>
#<alt (/ y (* x z))>
#<alt (/ y (* x z))>
#<alt (/ y (* x z))>
#<alt (/ y (* x z))>
#<alt (/ y (* x z))>
#<alt (/ y (* x z))>
#<alt (/ y (* x z))>
#<alt (/ y (* x z))>
#<alt (/ y (* x z))>
#<alt (/ y (* x z))>
#<alt (/ y (* x z))>
#<alt (/ y (* x z))>
#<alt (/ y (* x z))>
#<alt (/ y (* x z))>
#<alt (/ y (* x z))>
#<alt (/ y (* x z))>
#<alt (/ y (* x z))>
#<alt (/ y (* x z))>
#<alt (/ y (* x z))>
#<alt (/ y (* x z))>
#<alt (/ y (* x z))>
#<alt (/ y (* x z))>
#<alt (/ y (* x z))>
#<alt (/ y (* x z))>
#<alt (/ y (* x z))>
#<alt (/ y (* x z))>
#<alt (/ y (* x z))>
#<alt (/ y (* x z))>
#<alt (/ y (* x z))>
#<alt (/ y (* x z))>
#<alt (/ y (* x z))>
#<alt (/ y (* x z))>
#<alt (/ y (* x z))>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>

Calls

60 calls:

Time	Variable		Point	Expression
2.0ms	z	@	inf	(/ -1 z)
1.0ms	y	@	0	(/ y (* x z))
0.0ms	z	@	0	(/ y (* x z))
0.0ms	y	@	inf	(/ y (* x z))
0.0ms	y	@	-inf	(/ y (* x z))

rewrite288.0ms (3.6%)

Memory

19.6MiB live, 576.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 632×	`accelerator-lowering-fma.f32`
7 632×	`accelerator-lowering-fma.f64`
4 224×	`-lowering-.f32`
4 224×	`-lowering-.f64`
2 638×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	44
1	89	42
2	600	41
3	6612	41
0	8015	41

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 413

Calls

Call 1

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

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

simplify189.0ms (2.4%)

Memory

-1.9MiB live, 392.7MiB allocated

Algorithm

1×	egg-herbie

Rules

2 560×	`accelerator-lowering-fma.f32`
2 560×	`accelerator-lowering-fma.f64`
2 340×	`-lowering-.f32`
2 340×	`-lowering-.f64`
2 318×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	990
1	84	936
2	223	936
3	562	936
4	1829	936
5	3173	936
6	4496	936
7	5314	936
8	5791	936
9	6222	936
10	7653	936
0	8032	936

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

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

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

eval77.0ms (1%)

Memory: -1.2MiB live, 197.1MiB allocated
Compiler: Compiled 9 532 to 970 computations (89.8% saved)

prune65.0ms (0.8%)

Memory

10.1MiB live, 123.5MiB allocated

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	652	1	653
Fresh	0	0	0
Picked	0	4	4
Done	0	4	4
Total	652	9	661

Accuracy

100.0%

Counts

661 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	62.9%	(fma.f64 (/.f64 y (*.f64 x z)) (neg.f64 x) x)
✓	92.0%	(fma.f64 (.f64 #s(literal 2 binary64) z) (/.f64 y (fma.f64 y t (.f64 (*.f64 z z) #s(literal -2 binary64)))) x)
✓	59.9%	(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
✓	64.2%	(fma.f64 y (/.f64 #s(literal -1 binary64) z) x)
✓	14.2%	(/.f64 (neg.f64 y) z)
✓	64.2%	(-.f64 x (/.f64 y z))
▶	15.9%	(*.f64 (/.f64 #s(literal 2 binary64) t) z)
✓	15.9%	(*.f64 #s(literal 2 binary64) (/.f64 z t))
✓	74.8%	x

Compiler

Compiled 92 to 64 computations (30.4% saved)

simplify4.0ms (0%)

Memory

6.0MiB live, 6.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

12×	`-lowering-.f32`
12×	`-lowering-.f64`
6×	`*-commutative`
6×	`/-lowering-/.f32`
6×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
1	8	11
2	12	11
3	13	11
0	13	11

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (/ 2 t) z)
(/ 2 t)
2
t
z

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

localize20.0ms (0.3%)

Memory

-16.0MiB live, 28.8MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) t)
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 2 binary64) t) z)

Samples

11.0ms

256×

valid

Compiler

Compiled 13 to 9 computations (30.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 2.0ms (48.7% of total)

ival-mult: 2.0ms (48.7% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Counts

2 → 36

Calls

Call 1

Inputs
#<alt (* (/ 2 t) z)>
#<alt (/ 2 t)>

Outputs
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (/ 2 t)>
#<alt (/ 2 t)>
#<alt (/ 2 t)>
#<alt (/ 2 t)>
#<alt (/ 2 t)>
#<alt (/ 2 t)>
#<alt (/ 2 t)>
#<alt (/ 2 t)>
#<alt (/ 2 t)>
#<alt (/ 2 t)>
#<alt (/ 2 t)>
#<alt (/ 2 t)>

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	t	@	inf	(* (/ 2 t) z)
0.0ms	t	@	0	(* (/ 2 t) z)
0.0ms	z	@	inf	(* (/ 2 t) z)
0.0ms	t	@	-inf	(* (/ 2 t) z)
0.0ms	z	@	-inf	(* (/ 2 t) z)

rewrite382.0ms (4.8%)

Memory

-94.8MiB live, 326.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 266×	`accelerator-lowering-fma.f32`
3 266×	`accelerator-lowering-fma.f64`
2 116×	`-lowering-.f32`
2 116×	`-lowering-.f64`
2 036×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	17	8
2	69	8
3	274	8
4	1124	8
5	6646	8
0	8403	8

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 843

Calls

Call 1

Inputs
(* (/ 2 t) z)
(/ 2 t)

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

simplify11.0ms (0.1%)

Memory

-10.5MiB live, 28.4MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`-lowering-.f32`
12×	`-lowering-.f64`
6×	`*-commutative`
6×	`/-lowering-/.f32`
6×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	156
1	9	156
2	11	156
3	12	156
4	13	156
0	13	156

Stop Event

1×	iter limit
1×	saturated

Counts

36 → 36

Calls

Call 1

Inputs
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(/ 2 t)
(/ 2 t)
(/ 2 t)
(/ 2 t)
(/ 2 t)
(/ 2 t)
(/ 2 t)
(/ 2 t)
(/ 2 t)
(/ 2 t)
(/ 2 t)
(/ 2 t)

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

eval97.0ms (1.2%)

Memory: 30.5MiB live, 182.6MiB allocated
Compiler: Compiled 14 571 to 1 445 computations (90.1% saved)

prune134.0ms (1.7%)

Memory

-31.5MiB live, 282.2MiB allocated

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	879	0	879
Fresh	0	0	0
Picked	0	1	1
Done	0	8	8
Total	879	9	888

Accuracy

100.0%

Counts

888 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	62.9%	(fma.f64 (/.f64 y (*.f64 x z)) (neg.f64 x) x)
✓	92.0%	(fma.f64 (.f64 #s(literal 2 binary64) z) (/.f64 y (fma.f64 y t (.f64 (*.f64 z z) #s(literal -2 binary64)))) x)
✓	59.9%	(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
✓	64.2%	(fma.f64 y (/.f64 #s(literal -1 binary64) z) x)
✓	14.2%	(/.f64 (neg.f64 y) z)
✓	64.2%	(-.f64 x (/.f64 y z))
✓	15.9%	(*.f64 (/.f64 #s(literal 2 binary64) t) z)
✓	15.9%	(*.f64 #s(literal 2 binary64) (/.f64 z t))
✓	74.8%	x

Compiler

Compiled 176 to 103 computations (41.5% saved)

regimes24.0ms (0.3%)

Memory

3.5MiB live, 41.7MiB allocated

Counts

11 → 2

Calls

Call 1

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

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

Calls

6 calls:

5.0ms	x
4.0ms	z
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	y

Results

Accuracy	Segments	Branch
92.0%	1	`x`
92.0%	1	`y`
96.2%	2	`z`
92.0%	1	`t`
97.7%	2	`(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))`
97.7%	2	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`

Compiler

Compiled 60 to 41 computations (31.7% saved)

regimes21.0ms (0.3%)

Memory

-1.6MiB live, 36.9MiB allocated

Counts

9 → 3

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
80.0%	3	`x`
79.8%	3	`t`
80.1%	2	`y`
90.0%	3	`z`
79.4%	2	`(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))`
87.6%	4	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`

Compiler

Compiled 60 to 41 computations (31.7% saved)

regimes3.0ms (0%)

Memory

6.4MiB live, 6.4MiB allocated

Counts

7 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
89.9%	3	`z`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes5.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB allocated

Counts

6 → 3

Calls

Call 1

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

Outputs
(-.f64 x (/.f64 y z))
x
(-.f64 x (/.f64 y z))

Calls

2 calls:

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)))

Results

Accuracy	Segments	Branch
80.2%	2	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`
83.9%	3	`z`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory

20.5MiB live, 20.5MiB allocated

Accuracy

Total -45.9b remaining (-285.3%)

Threshold costs -45.9b (-285.3%)

Counts

2 → 1

Calls

Call 1

Inputs
x
(/.f64 (neg.f64 y) z)

Outputs
x

Calls

6 calls:

2.0ms	(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
1.0ms	z
1.0ms	t
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
74.8%	1	`t`
74.8%	1	`x`
74.8%	1	`(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))`
74.8%	1	`y`
74.8%	1	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`
74.8%	1	`z`

Compiler

Compiled 60 to 41 computations (31.7% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 24 to 20 computations (16.7% saved)

bsearch38.0ms (0.5%)

Memory

-23.7MiB live, 53.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	7.512479363536815e+69	1.6391639227974192e+82
17.0ms	-4.600374133298106e-49	-7.01573033519898e-54

Samples

22.0ms

304×

valid

Compiler

Compiled 442 to 324 computations (26.7% saved)

Precisions

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

ival-mult: 9.0ms (66.3% of total)

ival-sub: 3.0ms (22.1% of total)

ival-div: 2.0ms (14.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch36.0ms (0.5%)

Memory

15.4MiB live, 53.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	7.512479363536815e+69	1.6391639227974192e+82
15.0ms	-4.600374133298106e-49	-7.01573033519898e-54

Samples

23.0ms

304×

valid

Compiler

Compiled 423 to 305 computations (27.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 10.0ms (66.6% of total)

ival-sub: 3.0ms (20% of total)

ival-div: 2.0ms (13.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch48.0ms (0.6%)

Memory

-25.5MiB live, 60.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	7.512479363536815e+69	1.6391639227974192e+82
19.0ms	-4.4511030120926067e-32	-2.3686541851224627e-43

Samples

23.0ms

320×

valid

Compiler

Compiled 344 to 260 computations (24.4% saved)

Precisions

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

ival-mult: 9.0ms (64.1% of total)

ival-sub: 3.0ms (21.4% of total)

ival-div: 2.0ms (14.2% of total)

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

exact: 0.0ms (0% of total)

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

simplify11.0ms (0.1%)

Memory

18.6MiB live, 18.6MiB allocated

Algorithm

1×	egg-herbie

Rules

30×	`*-commutative_binary64`
22×	`+-commutative_binary64`
22×	`sub-neg_binary64`
16×	`neg-sub0_binary64`
16×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	95
1	66	95
2	90	95
3	109	95
4	121	95
5	126	95
6	127	95

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t))) #s(literal +inf.0 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) z) (/.f64 y (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64)))) x) (-.f64 x (/.f64 y z)))
(if (<=.f64 z #s(literal -4739053125085073/13164036458569648337239753460458804039861886925068638906788872192 binary64)) (-.f64 x (/.f64 y z)) (if (<=.f64 z #s(literal 7600000000000000551238916499622186958803645513313566861938397181640704 binary64)) (-.f64 x (/.f64 (*.f64 #s(literal -2 binary64) z) t)) (-.f64 x (/.f64 y z))))
(if (<=.f64 z #s(literal -4739053125085073/13164036458569648337239753460458804039861886925068638906788872192 binary64)) (-.f64 x (/.f64 y z)) (if (<=.f64 z #s(literal 7600000000000000551238916499622186958803645513313566861938397181640704 binary64)) (fma.f64 z (/.f64 #s(literal 2 binary64) t) x) (-.f64 x (/.f64 y z))))
(if (<=.f64 z #s(literal -568699517118201/5986310706507378352962293074805895248510699696029696 binary64)) (-.f64 x (/.f64 y z)) (if (<=.f64 z #s(literal 9500000000000000544994064783134181012819936339512895317261518991792275456 binary64)) x (-.f64 x (/.f64 y z))))
x

Outputs
(if (<=.f64 (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (.f64 y t))) #s(literal +inf.0 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) z) (/.f64 y (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64)))) x) (-.f64 x (/.f64 y z)))
(if (<=.f64 (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 z (.f64 #s(literal 2 binary64) z)) (.f64 y t))) #s(literal +inf.0 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) z) (/.f64 y (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64)))) x) (-.f64 x (/.f64 y z)))
(if (<=.f64 z #s(literal -4739053125085073/13164036458569648337239753460458804039861886925068638906788872192 binary64)) (-.f64 x (/.f64 y z)) (if (<=.f64 z #s(literal 7600000000000000551238916499622186958803645513313566861938397181640704 binary64)) (-.f64 x (/.f64 (*.f64 #s(literal -2 binary64) z) t)) (-.f64 x (/.f64 y z))))
(if (<=.f64 z #s(literal -4739053125085073/13164036458569648337239753460458804039861886925068638906788872192 binary64)) (-.f64 x (/.f64 y z)) (if (<=.f64 z #s(literal 7600000000000000551238916499622186958803645513313566861938397181640704 binary64)) (-.f64 x (/.f64 (*.f64 z #s(literal -2 binary64)) t)) (-.f64 x (/.f64 y z))))
(if (<=.f64 z #s(literal -4739053125085073/13164036458569648337239753460458804039861886925068638906788872192 binary64)) (-.f64 x (/.f64 y z)) (if (<=.f64 z #s(literal 7600000000000000551238916499622186958803645513313566861938397181640704 binary64)) (fma.f64 z (/.f64 #s(literal 2 binary64) t) x) (-.f64 x (/.f64 y z))))
(if (<=.f64 z #s(literal -568699517118201/5986310706507378352962293074805895248510699696029696 binary64)) (-.f64 x (/.f64 y z)) (if (<=.f64 z #s(literal 9500000000000000544994064783134181012819936339512895317261518991792275456 binary64)) x (-.f64 x (/.f64 y z))))
x

soundness390.0ms (4.9%)

Memory

1.3MiB live, 310.7MiB allocated

Rules

10 952×	`accelerator-lowering-fma.f32`
10 952×	`accelerator-lowering-fma.f64`
8 416×	`accelerator-lowering-fma.f32`
8 416×	`accelerator-lowering-fma.f64`
6 098×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	347	2176
1	1030	2127
2	3143	2097
0	8600	1977
0	13	49
1	63	49
2	533	49
3	7409	49
0	8775	46

Stop Event

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

Compiler

Compiled 182 to 93 computations (48.9% saved)

preprocess45.0ms (0.6%)

Memory: 3.8MiB live, 118.8MiB allocated
Compiler: Compiled 298 to 134 computations (55% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze208.0ms (2.6%)

sample1.9s (23.5%)

preprocess201.0ms (2.5%)

explain192.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify93.0ms (1.2%)

localize52.0ms (0.7%)

series26.0ms (0.3%)

rewrite436.0ms (5.5%)

simplify457.0ms (5.8%)

eval78.0ms (1%)

prune77.0ms (1%)

simplify203.0ms (2.6%)

localize78.0ms (1%)

series23.0ms (0.3%)

rewrite353.0ms (4.5%)

simplify558.0ms (7.1%)

eval204.0ms (2.6%)

prune170.0ms (2.2%)

simplify677.0ms (8.6%)

localize49.0ms (0.6%)

series12.0ms (0.1%)

rewrite288.0ms (3.6%)

simplify189.0ms (2.4%)

eval77.0ms (1%)

prune65.0ms (0.8%)

simplify4.0ms (0%)

localize20.0ms (0.3%)

series1.0ms (0%)

rewrite382.0ms (4.8%)

simplify11.0ms (0.1%)

eval97.0ms (1.2%)

prune134.0ms (1.7%)

regimes24.0ms (0.3%)

regimes21.0ms (0.3%)

regimes3.0ms (0%)

regimes5.0ms (0.1%)

regimes9.0ms (0.1%)

bsearch0.0ms (0%)

bsearch38.0ms (0.5%)

bsearch36.0ms (0.5%)

bsearch48.0ms (0.6%)

simplify11.0ms (0.1%)

soundness390.0ms (4.9%)

preprocess45.0ms (0.6%)

end0.0ms (0%)

Profiling