Metrics for Examples.Basics.ProofTests:f4 from sbv-4.4

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample962.0ms (25.2%)

Memory

-161.5MiB live, 1 206.4MiB allocated

Samples

751.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 335.0ms

ival-mult: 250.0ms (74.5% of total)

ival-add: 71.0ms (21.2% of total)

ival-true: 6.0ms (1.8% of total)

exact: 5.0ms (1.5% of total)

ival-assert: 3.0ms (0.9% of total)

Bogosity

preprocess48.0ms (1.3%)

Memory

12.7MiB live, 49.6MiB allocated

Algorithm

2×	egg-herbie

Rules

236×	`sub-neg`
232×	`unsub-neg`
192×	`distribute-lft-neg-in`
136×	`cancel-sign-sub-inv`
132×	`cancel-sign-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	84
1	85	68
2	255	66
3	641	66
4	1218	66
5	1514	66
6	1544	66
0	9	13
1	17	11
2	37	11
3	45	11
0	45	9

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(+ (+ (* x x) (* (* x 2) y)) (* y y))

Outputs
(+ (+ (* x x) (* (* x 2) y)) (* y y))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (*.f64 y y))

Call 2

Inputs
(+ (+ (* x x) (* (* x 2) y)) (* y y))
(+ (+ (* (neg x) (neg x)) (* (* (neg x) 2) y)) (* y y))
(+ (+ (* x x) (* (* x 2) (neg y))) (* (neg y) (neg y)))
(neg (+ (+ (* (neg x) (neg x)) (* (* (neg x) 2) y)) (* y y)))
(neg (+ (+ (* x x) (* (* x 2) (neg y))) (* (neg y) (neg y))))
(+ (+ (* y y) (* (* y 2) x)) (* x x))

Outputs
(+ (+ (* x x) (* (* x 2) y)) (* y y))
(- (* y y) (* x (- (* y -2) x)))
(+ (+ (* (neg x) (neg x)) (* (* (neg x) 2) y)) (* y y))
(+ (* x x) (* y (+ y (* x -2))))
(+ (+ (* x x) (* (* x 2) (neg y))) (* (neg y) (neg y)))
(+ (* x x) (* y (+ y (* x -2))))
(neg (+ (+ (* (neg x) (neg x)) (* (* (neg x) 2) y)) (* y y)))
(- (* x (- (* 2 y) x)) (* y y))
(neg (+ (+ (* x x) (* (* x 2) (neg y))) (* (neg y) (neg y))))
(- (* x (- (* 2 y) x)) (* y y))
(+ (+ (* y y) (* (* y 2) x)) (* x x))
(- (* y y) (* x (- (* y -2) x)))

Symmetry

(sort x y)

explain162.0ms (4.2%)

Memory

-18.7MiB live, 239.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
11	-	-	`(+.f64 (.f64 x x) (.f64 (*.f64 x #s(literal 2 binary64)) y))`
2	-	-	`(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))`
0	-	-	`(*.f64 x #s(literal 2 binary64))`
0	-	-	`(*.f64 x x)`
0	-	-	`(.f64 (.f64 x #s(literal 2 binary64)) y)`
0	-	-	`y`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(*.f64 y y)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (.f64 x x) (.f64 (*.f64 x #s(literal 2 binary64)) y))`	nan-rescue	11	0
↳	`(*.f64 x x)`	overflow	61
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	33
`+.f64`	`(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))`	nan-rescue	2	0
↳	`(+.f64 (.f64 x x) (.f64 (*.f64 x #s(literal 2 binary64)) y))`	overflow	71
↳	`(*.f64 x x)`	overflow	61
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	33
↳	`(*.f64 y y)`	overflow	75

Confusion

	Predicted +	Predicted -
+	12	0
-	0	244

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	12	0	0
-	0	0	244

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	244
1	11
2	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

37.0ms

512×

valid

Compiler

Compiled 112 to 40 computations (64.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 13.0ms (74.1% of total)

ival-add: 4.0ms (22.8% 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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.3%	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))

Compiler

Compiled 15 to 9 computations (40% saved)

simplify6.0ms (0.2%)

Memory

10.0MiB live, 10.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 x #s(literal 2 binary64)) y)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	128	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))
✓	cost-diff	448	(+.f64 (.f64 x x) (.f64 (*.f64 x #s(literal 2 binary64)) y))

Rules

64×	`accelerator-lowering-fma.f32`
64×	`accelerator-lowering-fma.f64`
36×	`-lowering-.f32`
36×	`-lowering-.f64`
32×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	39
1	17	35
2	37	35
3	45	35
0	45	32

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (+ (* x x) (* (* x 2) y)) (* y y))
(+ (* x x) (* (* x 2) y))
(* x x)
x
(* (* x 2) y)
(* x 2)
2
y
(* y y)

Outputs
(+ (+ (* x x) (* (* x 2) y)) (* y y))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (*.f64 y y))
(+ (* x x) (* (* x 2) y))
(*.f64 x (fma.f64 #s(literal 2 binary64) y x))
(* x x)
(*.f64 x x)
x
(* (* x 2) y)
(.f64 x (.f64 #s(literal 2 binary64) y))
(* x 2)
(*.f64 x #s(literal 2 binary64))
2
#s(literal 2 binary64)
y
(* y y)
(*.f64 y y)

localize28.0ms (0.7%)

Memory

-11.3MiB live, 66.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	99.4%	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))
✓	accuracy	96.5%	(+.f64 (.f64 x x) (.f64 (*.f64 x #s(literal 2 binary64)) y))

Samples

18.0ms

256×

valid

Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 6.0ms (68.8% of total)

ival-add: 2.0ms (22.9% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Memory

-18.1MiB live, 18.4MiB allocated

Counts

5 → 96

Calls

Call 1

Inputs
#<alt (+ (* x x) (* (* x 2) y))>
#<alt (+ (+ (* x x) (* (* x 2) y)) (* y y))>
#<alt (* x x)>
#<alt (* (* x 2) y)>
#<alt (* x 2)>

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

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(* (* x 2) y)
1.0ms	x	@	inf	(+ (* x x) (* (* x 2) y))
1.0ms	y	@	0	(+ (* x x) (* (* x 2) y))
1.0ms	x	@	0	(+ (* x x) (* (* x 2) y))
0.0ms	y	@	inf	(+ (* x x) (* (* x 2) y))

rewrite658.0ms (17.3%)

Memory

0.1MiB live, 529.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 568×	`accelerator-lowering-fma.f32`
7 568×	`accelerator-lowering-fma.f64`
5 064×	`-lowering-.f32`
5 064×	`-lowering-.f64`
2 536×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	33
1	44	29
2	414	29
3	6349	29
0	8211	26

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 210

Calls

Call 1

Inputs
(+ (* x x) (* (* x 2) y))
(+ (+ (* x x) (* (* x 2) y)) (* y y))
(* x x)
(* (* x 2) y)
(* x 2)

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

simplify288.0ms (7.6%)

Memory

14.8MiB live, 366.2MiB allocated

Algorithm

1×	egg-herbie

Rules

7 660×	`accelerator-lowering-fma.f32`
7 660×	`accelerator-lowering-fma.f64`
3 048×	`-lowering-.f32`
3 048×	`-lowering-.f64`
1 308×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	534
1	166	534
2	468	534
3	1334	534
4	3280	534
5	6441	534
0	8173	486

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

Inputs
(* 2 (* x y))
(* x (+ x (* 2 y)))
(* x (+ x (* 2 y)))
(* x (+ x (* 2 y)))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(pow x 2)
(+ (* 2 (* x y)) (pow x 2))
(+ (* 2 (* x y)) (pow x 2))
(+ (* 2 (* x y)) (pow x 2))
(* 2 (* x y))
(* y (+ (* 2 x) (/ (pow x 2) y)))
(* y (+ (* 2 x) (/ (pow x 2) y)))
(* y (+ (* 2 x) (/ (pow x 2) y)))
(* 2 (* x y))
(* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y)))))
(* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y)))))
(* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y)))))
(pow y 2)
(+ (* 2 (* x y)) (pow y 2))
(+ (* x (+ x (* 2 y))) (pow y 2))
(+ (* x (+ x (* 2 y))) (pow y 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x))))
(pow x 2)
(+ (* 2 (* x y)) (pow x 2))
(+ (* y (+ y (* 2 x))) (pow x 2))
(+ (* y (+ y (* 2 x))) (pow x 2))
(pow y 2)
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(pow y 2)
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y))))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)

Outputs
(* 2 (* x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(* x (+ x (* 2 y)))
(*.f64 x (fma.f64 #s(literal 2 binary64) y x))
(* x (+ x (* 2 y)))
(*.f64 x (fma.f64 #s(literal 2 binary64) y x))
(* x (+ x (* 2 y)))
(*.f64 x (fma.f64 #s(literal 2 binary64) y x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(*.f64 x (fma.f64 #s(literal 2 binary64) y x))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(*.f64 x (fma.f64 #s(literal 2 binary64) y x))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(*.f64 x (fma.f64 #s(literal 2 binary64) y x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(*.f64 x (fma.f64 #s(literal 2 binary64) y x))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(*.f64 x (fma.f64 #s(literal 2 binary64) y x))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(*.f64 x (fma.f64 #s(literal 2 binary64) y x))
(pow x 2)
(*.f64 x x)
(+ (* 2 (* x y)) (pow x 2))
(*.f64 x (fma.f64 #s(literal 2 binary64) y x))
(+ (* 2 (* x y)) (pow x 2))
(*.f64 x (fma.f64 #s(literal 2 binary64) y x))
(+ (* 2 (* x y)) (pow x 2))
(*.f64 x (fma.f64 #s(literal 2 binary64) y x))
(* 2 (* x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(* y (+ (* 2 x) (/ (pow x 2) y)))
(*.f64 x (fma.f64 #s(literal 2 binary64) y x))
(* y (+ (* 2 x) (/ (pow x 2) y)))
(*.f64 x (fma.f64 #s(literal 2 binary64) y x))
(* y (+ (* 2 x) (/ (pow x 2) y)))
(*.f64 x (fma.f64 #s(literal 2 binary64) y x))
(* 2 (* x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y)))))
(*.f64 x (fma.f64 #s(literal 2 binary64) y x))
(* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y)))))
(*.f64 x (fma.f64 #s(literal 2 binary64) y x))
(* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y)))))
(*.f64 x (fma.f64 #s(literal 2 binary64) y x))
(pow y 2)
(*.f64 y y)
(+ (* 2 (* x y)) (pow y 2))
(*.f64 y (fma.f64 #s(literal 2 binary64) x y))
(+ (* x (+ x (* 2 y))) (pow y 2))
(fma.f64 x x (*.f64 y (fma.f64 #s(literal 2 binary64) x y)))
(+ (* x (+ x (* 2 y))) (pow y 2))
(fma.f64 x x (*.f64 y (fma.f64 #s(literal 2 binary64) x y)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(*.f64 x (fma.f64 #s(literal 2 binary64) y x))
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(fma.f64 x x (*.f64 y (fma.f64 #s(literal 2 binary64) x y)))
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(fma.f64 x x (*.f64 y (fma.f64 #s(literal 2 binary64) x y)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(*.f64 x (fma.f64 #s(literal 2 binary64) y x))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x))))
(fma.f64 x x (*.f64 y (fma.f64 #s(literal 2 binary64) x y)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x))))
(fma.f64 x x (*.f64 y (fma.f64 #s(literal 2 binary64) x y)))
(pow x 2)
(*.f64 x x)
(+ (* 2 (* x y)) (pow x 2))
(*.f64 x (fma.f64 #s(literal 2 binary64) y x))
(+ (* y (+ y (* 2 x))) (pow x 2))
(fma.f64 x x (*.f64 y (fma.f64 #s(literal 2 binary64) x y)))
(+ (* y (+ y (* 2 x))) (pow x 2))
(fma.f64 x x (*.f64 y (fma.f64 #s(literal 2 binary64) x y)))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(*.f64 y (fma.f64 #s(literal 2 binary64) x y))
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(fma.f64 x x (*.f64 y (fma.f64 #s(literal 2 binary64) x y)))
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(fma.f64 x x (*.f64 y (fma.f64 #s(literal 2 binary64) x y)))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(*.f64 y (fma.f64 #s(literal 2 binary64) x y))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y))))
(fma.f64 x x (*.f64 y (fma.f64 #s(literal 2 binary64) x y)))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y))))
(fma.f64 x x (*.f64 y (fma.f64 #s(literal 2 binary64) x y)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 2 (* x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(* 2 (* x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(* 2 (* x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(* 2 (* x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(* 2 (* x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(* 2 (* x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(* 2 (* x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(* 2 (* x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(* 2 (* x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(* 2 (* x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(* 2 (* x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(* 2 (* x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(* 2 (* x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(* 2 (* x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(* 2 (* x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(* 2 (* x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(* 2 (* x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(* 2 (* x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(* 2 (* x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(* 2 (* x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(* 2 (* x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(* 2 (* x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(* 2 (* x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(* 2 (* x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)

eval69.0ms (1.8%)

Memory: 1.7MiB live, 77.8MiB allocated
Compiler: Compiled 10 409 to 637 computations (93.9% saved)

prune33.0ms (0.9%)

Memory

9.2MiB live, 57.7MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	301	5	306
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	302	5	307

Accuracy

100.0%

Counts

307 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (fma.f64 #s(literal 2 binary64) y x) x (*.f64 y y))
▶	59.3%	(*.f64 y (fma.f64 #s(literal 2 binary64) x y))
▶	60.8%	(*.f64 y y)
▶	58.9%	(*.f64 x (fma.f64 #s(literal 2 binary64) y x))
▶	55.8%	(*.f64 x x)

Compiler

Compiled 74 to 44 computations (40.5% saved)

simplify6.0ms (0.2%)

Memory

8.7MiB live, 8.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Program
✓	cost-diff	(fma.f64 #s(literal 2 binary64) x y)
✓	cost-diff	(*.f64 y (fma.f64 #s(literal 2 binary64) x y))
✓	cost-diff	(fma.f64 #s(literal 2 binary64) y x)
✓	cost-diff	(*.f64 x (fma.f64 #s(literal 2 binary64) y x))
✓	cost-diff	(*.f64 y y)
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(*.f64 y y)
✓	cost-diff	(fma.f64 #s(literal 2 binary64) y x)
✓	cost-diff	(fma.f64 (fma.f64 #s(literal 2 binary64) y x) x (*.f64 y y))

Rules

64×	`accelerator-lowering-fma.f32`
64×	`accelerator-lowering-fma.f64`
36×	`-lowering-.f32`
36×	`-lowering-.f64`
32×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	60
1	27	60
2	46	60
3	51	60
0	51	53

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* (+ (* 2 y) x) x) (* y y))
(+ (* 2 y) x)
2
y
x
(* y y)
(* x x)
x
(* y y)
y
(* x (+ (* 2 y) x))
x
(+ (* 2 y) x)
2
y
(* y (+ (* 2 x) y))
y
(+ (* 2 x) y)
2
x

Outputs
(+ (* (+ (* 2 y) x) x) (* y y))
(fma.f64 y (fma.f64 #s(literal 2 binary64) x y) (*.f64 x x))
(+ (* 2 y) x)
(fma.f64 #s(literal 2 binary64) y x)
2
#s(literal 2 binary64)
y
x
(* y y)
(*.f64 y y)
(* x x)
(*.f64 x x)
x
(* y y)
(*.f64 y y)
y
(* x (+ (* 2 y) x))
(*.f64 x (fma.f64 #s(literal 2 binary64) y x))
x
(+ (* 2 y) x)
(fma.f64 #s(literal 2 binary64) y x)
2
#s(literal 2 binary64)
y
(* y (+ (* 2 x) y))
(*.f64 y (fma.f64 #s(literal 2 binary64) x y))
y
(+ (* 2 x) y)
(fma.f64 #s(literal 2 binary64) x y)
2
#s(literal 2 binary64)
x

localize46.0ms (1.2%)

Memory

2.5MiB live, 117.4MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 #s(literal 2 binary64) x y)
✓	accuracy	100.0%	(*.f64 y (fma.f64 #s(literal 2 binary64) x y))
✓	accuracy	100.0%	(fma.f64 #s(literal 2 binary64) y x)
✓	accuracy	100.0%	(*.f64 x (fma.f64 #s(literal 2 binary64) y x))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(fma.f64 #s(literal 2 binary64) y x)
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(fma.f64 (fma.f64 #s(literal 2 binary64) y x) x (*.f64 y y))

Samples

25.0ms

256×

valid

Compiler

Compiled 55 to 15 computations (72.7% saved)

Precisions

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

ival-mult: 10.0ms (67.3% of total)

ival-add: 4.0ms (26.9% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.3%)

Memory

-20.3MiB live, 21.3MiB allocated

Counts

7 → 144

Calls

Call 1

Inputs
#<alt (+ (* (+ (* 2 y) x) x) (* y y))>
#<alt (+ (* 2 y) x)>
#<alt (* y y)>
#<alt (* x x)>
#<alt (* x (+ (* 2 y) x))>
#<alt (* y (+ (* 2 x) y))>
#<alt (+ (* 2 x) y)>

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

Calls

36 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(+ (* 2 y) x)
1.0ms	y	@	-inf	(* y (+ (* 2 x) y))
0.0ms	y	@	0	(* y (+ (* 2 x) y))
0.0ms	x	@	-inf	(+ (* (+ (* 2 y) x) x) (* y y))
0.0ms	x	@	inf	(* y (+ (* 2 x) y))

rewrite438.0ms (11.5%)

Memory

19.1MiB live, 662.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 872×	`accelerator-lowering-fma.f32`
8 872×	`accelerator-lowering-fma.f64`
5 148×	`-lowering-.f32`
5 148×	`-lowering-.f64`
2 542×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	41
1	62	41
2	551	41
3	6093	41
0	8416	35

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 378

Calls

Call 1

Inputs
(+ (* (+ (* 2 y) x) x) (* y y))
(+ (* 2 y) x)
(* y y)
(* x x)
(* x (+ (* 2 y) x))
(* y (+ (* 2 x) y))
(+ (* 2 x) y)

Outputs
(+.f64 (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (.f64 y y))
(+.f64 (.f64 y y) (.f64 x (fma.f64 #s(literal 2 binary64) y x)))
(+.f64 (.f64 x x) (.f64 y (fma.f64 #s(literal 2 binary64) x y)))
(+.f64 (.f64 y (.f64 #s(literal 2 binary64) x)) (fma.f64 y y (*.f64 x x)))
(+.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) y x) (.f64 x (.f64 x (fma.f64 #s(literal 2 binary64) y x)))) (-.f64 (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (.f64 y y))) (neg.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (.f64 y y)))))
(+.f64 (.f64 y (fma.f64 #s(literal 2 binary64) x y)) (.f64 x x))
(+.f64 (fma.f64 y y (.f64 x x)) (.f64 y (*.f64 #s(literal 2 binary64) x)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 x (fma.f64 #s(literal 2 binary64) y x))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) y x) (.f64 x (.f64 x (fma.f64 #s(literal 2 binary64) y x)))) (-.f64 (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (.f64 y y))) (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (.f64 y y))))
(-.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 (.f64 y y) (.f64 x (fma.f64 #s(literal 2 binary64) y x)))) (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) y x) (.f64 x (.f64 x (fma.f64 #s(literal 2 binary64) y x)))) (-.f64 (.f64 y y) (.f64 x (fma.f64 #s(literal 2 binary64) y x)))))
(fma.f64 #s(literal 2 binary64) (.f64 y x) (fma.f64 y y (.f64 x x)))
(fma.f64 y y (*.f64 x (fma.f64 #s(literal 2 binary64) y x)))
(fma.f64 y (.f64 #s(literal 2 binary64) x) (fma.f64 y y (.f64 x x)))
(fma.f64 y (fma.f64 #s(literal 2 binary64) x y) (*.f64 x x))
(fma.f64 (.f64 #s(literal 2 binary64) y) x (fma.f64 y y (.f64 x x)))
(fma.f64 x (.f64 #s(literal 2 binary64) y) (fma.f64 y y (.f64 x x)))
(fma.f64 x x (*.f64 y (fma.f64 #s(literal 2 binary64) x y)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) y x) (*.f64 y y))
(fma.f64 x (/.f64 (.f64 x (.f64 (fma.f64 #s(literal 2 binary64) y x) (fma.f64 #s(literal 2 binary64) y x))) (-.f64 (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (.f64 y y))) (neg.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (*.f64 y y)))))
(fma.f64 (fma.f64 #s(literal 2 binary64) y x) x (*.f64 y y))
(fma.f64 (fma.f64 #s(literal 2 binary64) y x) (/.f64 (.f64 x (.f64 x (fma.f64 #s(literal 2 binary64) y x))) (-.f64 (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (.f64 y y))) (neg.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (*.f64 y y)))))
(fma.f64 (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (/.f64 (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (-.f64 (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (.f64 y y))) (neg.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (*.f64 y y)))))
(fma.f64 (.f64 x x) (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) y x) (fma.f64 #s(literal 2 binary64) y x)) (-.f64 (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (.f64 y y))) (neg.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (*.f64 y y)))))
(fma.f64 (.f64 #s(literal 2 binary64) x) y (fma.f64 y y (.f64 x x)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
(fma.f64 (fma.f64 y (.f64 (.f64 y y) #s(literal 8 binary64)) (.f64 x (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 2 binary64) y) (-.f64 (.f64 #s(literal 2 binary64) y) x) (.f64 x x))) x) (*.f64 y y))
(fma.f64 (fma.f64 y (.f64 (.f64 y y) #s(literal 8 binary64)) (.f64 x (.f64 x x))) (/.f64 x (fma.f64 (.f64 #s(literal 2 binary64) y) (-.f64 (.f64 #s(literal 2 binary64) y) x) (.f64 x x))) (.f64 y y))
(fma.f64 (fma.f64 y (.f64 y y) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x x) #s(literal 4 binary64)))) y) (*.f64 x x))
(fma.f64 (fma.f64 y (.f64 y y) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 y (fma.f64 y (-.f64 y (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x x) #s(literal 4 binary64)))) (.f64 x x))
(fma.f64 (.f64 (fma.f64 #s(literal 2 binary64) y x) (.f64 x (.f64 x (fma.f64 #s(literal 2 binary64) y x)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (.f64 y y))) (neg.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (.f64 y y)))))
(fma.f64 (-.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 2 binary64) y) x)) x) (.f64 y y))
(fma.f64 (-.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 x x)) (/.f64 x (-.f64 (.f64 #s(literal 2 binary64) y) x)) (*.f64 y y))
(fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 y y)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) y)) y) (.f64 x x))
(fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 y y)) (/.f64 y (-.f64 (.f64 #s(literal 2 binary64) x) y)) (*.f64 x x))
(fma.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) y) (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 (.f64 y #s(literal 4 binary64)) (.f64 x x)) (.f64 (.f64 x x) (.f64 x (-.f64 x (.f64 #s(literal 2 binary64) y)))))) (.f64 y y))
(fma.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)) (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) y) (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (.f64 y y) (.f64 y (-.f64 y (.f64 #s(literal 2 binary64) x)))))) (.f64 x x))
(fma.f64 (.f64 (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (.f64 x (-.f64 (.f64 #s(literal 2 binary64) y) x))) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 2 binary64) y) x))) (*.f64 y y))
(fma.f64 (.f64 (.f64 y (fma.f64 #s(literal 2 binary64) x y)) (.f64 y (-.f64 (.f64 #s(literal 2 binary64) x) y))) (/.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 #s(literal 2 binary64) x) y))) (*.f64 x x))
(fma.f64 (.f64 (fma.f64 #s(literal 2 binary64) y x) (fma.f64 #s(literal 2 binary64) y x)) (/.f64 (.f64 x x) (-.f64 (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (.f64 y y))) (neg.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (*.f64 y y)))))
(fma.f64 (.f64 y x) #s(literal 2 binary64) (fma.f64 y y (.f64 x x)))
(fma.f64 (.f64 x (.f64 x (fma.f64 #s(literal 2 binary64) y x))) (/.f64 (fma.f64 #s(literal 2 binary64) y x) (-.f64 (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (.f64 y y))) (neg.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (*.f64 y y)))))
(fma.f64 (.f64 x (.f64 (fma.f64 #s(literal 2 binary64) y x) (fma.f64 #s(literal 2 binary64) y x))) (/.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (.f64 y y))) (neg.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (*.f64 y y)))))
(fma.f64 (.f64 x (fma.f64 y (.f64 (.f64 y y) #s(literal 8 binary64)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 2 binary64) y) (-.f64 (.f64 #s(literal 2 binary64) y) x) (.f64 x x))) (*.f64 y y))
(fma.f64 (.f64 y (-.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) y)) (.f64 x x))
(fma.f64 (.f64 x (-.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 2 binary64) y) x)) (.f64 y y))
(fma.f64 (.f64 y (fma.f64 y (.f64 y y) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x x) #s(literal 4 binary64)))) (*.f64 x x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 y (fma.f64 #s(literal 2 binary64) x y)))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (*.f64 x (fma.f64 #s(literal 2 binary64) y x)))
(fma.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) y x) (.f64 x (.f64 x (fma.f64 #s(literal 2 binary64) y x)))) (.f64 (fma.f64 y y (.f64 x (fma.f64 #s(literal 2 binary64) y x))) (-.f64 (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (.f64 y y)))) (fma.f64 y y (.f64 x (fma.f64 #s(literal 2 binary64) y x))) (neg.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (*.f64 y y)))))
(fma.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) y x) (.f64 x (.f64 x (fma.f64 #s(literal 2 binary64) y x)))) (fma.f64 x (.f64 (fma.f64 #s(literal 2 binary64) y x) (.f64 (fma.f64 #s(literal 2 binary64) y x) (.f64 x (.f64 x (fma.f64 #s(literal 2 binary64) y x))))) (.f64 (neg.f64 (.f64 y y)) (.f64 y (.f64 y (.f64 y y)))))) (fma.f64 x (.f64 x (.f64 (fma.f64 #s(literal 2 binary64) y x) (fma.f64 #s(literal 2 binary64) y x))) (.f64 (.f64 y y) (fma.f64 y y (.f64 x (fma.f64 #s(literal 2 binary64) y x))))) (neg.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 (.f64 x (fma.f64 #s(literal 2 binary64) y x)) (.f64 y y)))))
(fma.f64 (/.f64 (.f64 y (-.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 y y))) (-.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 y y))) (fma.f64 #s(literal 2 binary64) x y) (.f64 x x))
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(/.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 16 binary64)) (.f64 y (.f64 y (.f64 y y)))) (.f64 (-.f64 (.f64 #s(literal 2 binary64) x) y) (fma.f64 y y (.f64 (*.f64 x x) #s(literal 4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x y))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2 binary64) x) y)) (.f64 (-.f64 (.f64 #s(literal 2 binary64) x) y) (.f64 y y))) (.f64 (-.f64 (.f64 #s(literal 2 binary64) x) y) (-.f64 (.f64 #s(literal 2 binary64) x) y)))
(/.f64 (.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 (.f64 y y) (.f64 y (.f64 y y)))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 512 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 64 binary64))) (fma.f64 y (-.f64 y (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x x) #s(literal 4 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 64 binary64)) (.f64 y (.f64 (.f64 y y) (.f64 y (.f64 y y))))) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 y (.f64 y y))) (fma.f64 y (-.f64 y (.f64 #s(literal 2 binary64) x)) (.f64 (*.f64 x x) #s(literal 4 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 64 binary64)) (.f64 y (.f64 (.f64 y y) (.f64 y (.f64 y y))))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 y y) (fma.f64 y y (.f64 (.f64 x x) #s(literal 4 binary64))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 16 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) x) y)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 16 binary64)) (.f64 y (.f64 y (.f64 y y)))) #s(literal 1 binary64)) (.f64 (fma.f64 y y (.f64 (.f64 x x) #s(literal 4 binary64))) (-.f64 (.f64 #s(literal 2 binary64) x) y)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 y (.f64 y y) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y (.f64 #s(literal 2 binary64) x)) (.f64 (*.f64 x x) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 y y)))) (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) x) y))))
(/.f64 (neg.f64 (fma.f64 y y (.f64 #s(literal -4 binary64) (.f64 x x)))) (neg.f64 (-.f64 y (*.f64 #s(literal 2 binary64) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2 binary64) x) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y y) (-.f64 (.f64 #s(literal 2 binary64) x) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2 binary64) x) y)) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2 binary64) x) y)) (fma.f64 (/.f64 (.f64 y y) (-.f64 (.f64 #s(literal 2 binary64) x) y)) (/.f64 (.f64 y y) (-.f64 (.f64 #s(literal 2 binary64) x) y)) (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2 binary64) x) y)) (/.f64 (.f64 y y) (-.f64 (*.f64 #s(literal 2 binary64) x) y))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2 binary64) x) y)) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 2 binary64) x) y))) (.f64 (/.f64 (.f64 y y) (-.f64 (.f64 #s(literal 2 binary64) x) y)) (/.f64 (.f64 y y) (-.f64 (.f64 #s(literal 2 binary64) x) y)))) (fma.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) y)) (/.f64 (.f64 y y) (-.f64 (.f64 #s(literal 2 binary64) x) y))))
(/.f64 (.f64 (fma.f64 y (.f64 y y) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) #s(literal 1 binary64)) (fma.f64 y (-.f64 y (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x x) #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 y y)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) x) y))
(/.f64 (.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 (.f64 y y) (.f64 y (.f64 y y)))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal 512 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x x) #s(literal 4 binary64))))) (fma.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 64 binary64))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 64 binary64)) (.f64 y (.f64 (.f64 y y) (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x x) #s(literal 4 binary64))))) (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 y (.f64 y y))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 64 binary64)) (.f64 y (.f64 (.f64 y y) (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) y))) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 (.f64 x x) #s(literal 4 binary64))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 16 binary64))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 16 binary64)) (.f64 y (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) y))) (fma.f64 y y (.f64 (*.f64 x x) #s(literal 4 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 y (.f64 #s(literal 2 binary64) x)) (fma.f64 y y (.f64 #s(literal -4 binary64) (*.f64 x x)))) #s(literal -1 binary64))
(.f64 (fma.f64 #s(literal 2 binary64) x y) (.f64 (-.f64 (.f64 #s(literal 2 binary64) x) y) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) y))))
(.f64 (fma.f64 #s(literal 2 binary64) x y) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) x) y) (-.f64 (*.f64 #s(literal 2 binary64) x) y)))
(.f64 (fma.f64 y (.f64 y y) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x x) #s(literal 4 binary64)))))
(.f64 (fma.f64 y (-.f64 y (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x x) #s(literal 4 binary64))) (.f64 (fma.f64 #s(literal 2 binary64) x y) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x x) #s(literal 4 binary64))))))
(.f64 (fma.f64 y (-.f64 y (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x x) #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) x y) (fma.f64 y (-.f64 y (.f64 #s(literal 2 binary64) x)) (.f64 (*.f64 x x) #s(literal 4 binary64)))))
(.f64 (-.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) y)))
(.f64 (neg.f64 (fma.f64 y (.f64 y y) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (-.f64 y (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x x) #s(literal 4 binary64))))))
(.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 y y))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) y))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x y))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x x) #s(literal 4 binary64)))) (fma.f64 y (.f64 y y) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) y)) (-.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (*.f64 y y)))
(.f64 (fma.f64 y y (.f64 #s(literal -4 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 y (.f64 #s(literal 2 binary64) x))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 y y)) (-.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (*.f64 y y))) (fma.f64 #s(literal 2 binary64) x y))
(.f64 (/.f64 (fma.f64 y (.f64 y y) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (fma.f64 (.f64 y (-.f64 y (.f64 #s(literal 2 binary64) x))) (.f64 y (.f64 (-.f64 y (.f64 #s(literal 2 binary64) x)) (.f64 y (-.f64 y (.f64 #s(literal 2 binary64) x))))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 64 binary64)))) (fma.f64 (.f64 y (-.f64 y (.f64 #s(literal 2 binary64) x))) (-.f64 (.f64 y (-.f64 y (.f64 #s(literal 2 binary64) x))) (.f64 (.f64 x x) #s(literal 4 binary64))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 16 binary64))))
(.f64 (/.f64 (fma.f64 y (.f64 y y) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 16 binary64)) (.f64 y (.f64 (-.f64 y (.f64 #s(literal 2 binary64) x)) (.f64 y (-.f64 y (.f64 #s(literal 2 binary64) x))))))) (-.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 y (-.f64 y (.f64 #s(literal 2 binary64) x)))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 y y)) (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 y (.f64 y y)))) (fma.f64 y (fma.f64 #s(literal 2 binary64) x y) (.f64 (*.f64 x x) #s(literal 4 binary64))))

simplify256.0ms (6.7%)

Memory

-1.0MiB live, 472.2MiB allocated

Algorithm

1×	egg-herbie

Rules

8 438×	`accelerator-lowering-fma.f32`
8 438×	`accelerator-lowering-fma.f64`
2 840×	`-lowering-.f32`
2 840×	`-lowering-.f64`
1 688×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	894
1	269	852
2	745	852
3	2220	768
4	4628	768
5	7593	768
0	8061	666

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

Inputs
(pow x 2)
(+ (* 2 (* x y)) (pow x 2))
(+ (* y (+ y (* 2 x))) (pow x 2))
(+ (* y (+ y (* 2 x))) (pow x 2))
(pow y 2)
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(pow y 2)
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y))))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y))))
(pow y 2)
(+ (* 2 (* x y)) (pow y 2))
(+ (* x (+ x (* 2 y))) (pow y 2))
(+ (* x (+ x (* 2 y))) (pow y 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x))))
x
(+ x (* 2 y))
(+ x (* 2 y))
(+ x (* 2 y))
(* 2 y)
(* y (+ 2 (/ x y)))
(* y (+ 2 (/ x y)))
(* y (+ 2 (/ x y)))
(* 2 y)
(* -1 (* y (- (* -1 (/ x y)) 2)))
(* -1 (* y (- (* -1 (/ x y)) 2)))
(* -1 (* y (- (* -1 (/ x y)) 2)))
(* 2 y)
(+ x (* 2 y))
(+ x (* 2 y))
(+ x (* 2 y))
x
(* x (+ 1 (* 2 (/ y x))))
(* x (+ 1 (* 2 (/ y x))))
(* x (+ 1 (* 2 (/ y x))))
x
(* -1 (* x (- (* -2 (/ y x)) 1)))
(* -1 (* x (- (* -2 (/ y x)) 1)))
(* -1 (* x (- (* -2 (/ y x)) 1)))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 2 (* x y))
(* x (+ x (* 2 y)))
(* x (+ x (* 2 y)))
(* x (+ x (* 2 y)))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(pow x 2)
(+ (* 2 (* x y)) (pow x 2))
(+ (* 2 (* x y)) (pow x 2))
(+ (* 2 (* x y)) (pow x 2))
(* 2 (* x y))
(* y (+ (* 2 x) (/ (pow x 2) y)))
(* y (+ (* 2 x) (/ (pow x 2) y)))
(* y (+ (* 2 x) (/ (pow x 2) y)))
(* 2 (* x y))
(* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y)))))
(* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y)))))
(* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y)))))
(* 2 (* x y))
(* y (+ y (* 2 x)))
(* y (+ y (* 2 x)))
(* y (+ y (* 2 x)))
(pow y 2)
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(pow y 2)
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(pow y 2)
(+ (* 2 (* x y)) (pow y 2))
(+ (* 2 (* x y)) (pow y 2))
(+ (* 2 (* x y)) (pow y 2))
(* 2 (* x y))
(* x (+ (* 2 y) (/ (pow y 2) x)))
(* x (+ (* 2 y) (/ (pow y 2) x)))
(* x (+ (* 2 y) (/ (pow y 2) x)))
(* 2 (* x y))
(* -1 (* x (+ (* -2 y) (* -1 (/ (pow y 2) x)))))
(* -1 (* x (+ (* -2 y) (* -1 (/ (pow y 2) x)))))
(* -1 (* x (+ (* -2 y) (* -1 (/ (pow y 2) x)))))
y
(+ y (* 2 x))
(+ y (* 2 x))
(+ y (* 2 x))
(* 2 x)
(* x (+ 2 (/ y x)))
(* x (+ 2 (/ y x)))
(* x (+ 2 (/ y x)))
(* 2 x)
(* -1 (* x (- (* -1 (/ y x)) 2)))
(* -1 (* x (- (* -1 (/ y x)) 2)))
(* -1 (* x (- (* -1 (/ y x)) 2)))
(* 2 x)
(+ y (* 2 x))
(+ y (* 2 x))
(+ y (* 2 x))
y
(* y (+ 1 (* 2 (/ x y))))
(* y (+ 1 (* 2 (/ x y))))
(* y (+ 1 (* 2 (/ x y))))
y
(* -1 (* y (- (* -2 (/ x y)) 1)))
(* -1 (* y (- (* -2 (/ x y)) 1)))
(* -1 (* y (- (* -2 (/ x y)) 1)))

Outputs
(pow x 2)
(*.f64 x x)
(+ (* 2 (* x y)) (pow x 2))
(*.f64 x (fma.f64 #s(literal 2 binary64) y x))
(+ (* y (+ y (* 2 x))) (pow x 2))
(fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))
(+ (* y (+ y (* 2 x))) (pow x 2))
(fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(*.f64 y (fma.f64 x #s(literal 2 binary64) y))
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(*.f64 y (fma.f64 x #s(literal 2 binary64) y))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y))))
(fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y))))
(fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))
(pow y 2)
(*.f64 y y)
(+ (* 2 (* x y)) (pow y 2))
(*.f64 y (fma.f64 x #s(literal 2 binary64) y))
(+ (* x (+ x (* 2 y))) (pow y 2))
(fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))
(+ (* x (+ x (* 2 y))) (pow y 2))
(fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(*.f64 x (fma.f64 #s(literal 2 binary64) y x))
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(*.f64 x (fma.f64 #s(literal 2 binary64) y x))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x))))
(fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x))))
(fma.f64 x x (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))
x
(+ x (* 2 y))
(fma.f64 #s(literal 2 binary64) y x)
(+ x (* 2 y))
(fma.f64 #s(literal 2 binary64) y x)
(+ x (* 2 y))
(fma.f64 #s(literal 2 binary64) y x)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* y (+ 2 (/ x y)))
(fma.f64 #s(literal 2 binary64) y x)
(* y (+ 2 (/ x y)))
(fma.f64 #s(literal 2 binary64) y x)
(* y (+ 2 (/ x y)))
(fma.f64 #s(literal 2 binary64) y x)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* -1 (* y (- (* -1 (/ x y)) 2)))
(fma.f64 #s(literal 2 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 2)))
(fma.f64 #s(literal 2 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 2)))
(fma.f64 #s(literal 2 binary64) y x)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(+ x (* 2 y))
(fma.f64 #s(literal 2 binary64) y x)
(+ x (* 2 y))
(fma.f64 #s(literal 2 binary64) y x)
(+ x (* 2 y))
(fma.f64 #s(literal 2 binary64) y x)
x
(* x (+ 1 (* 2 (/ y x))))
(fma.f64 #s(literal 2 binary64) y x)
(* x (+ 1 (* 2 (/ y x))))
(fma.f64 #s(literal 2 binary64) y x)
(* x (+ 1 (* 2 (/ y x))))
(fma.f64 #s(literal 2 binary64) y x)
x
(* -1 (* x (- (* -2 (/ y x)) 1)))
(fma.f64 #s(literal 2 binary64) y x)
(* -1 (* x (- (* -2 (/ y x)) 1)))
(fma.f64 #s(literal 2 binary64) y x)
(* -1 (* x (- (* -2 (/ y x)) 1)))
(fma.f64 #s(literal 2 binary64) y x)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 2 (* x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(* x (+ x (* 2 y)))
(*.f64 x (fma.f64 #s(literal 2 binary64) y x))
(* x (+ x (* 2 y)))
(*.f64 x (fma.f64 #s(literal 2 binary64) y x))
(* x (+ x (* 2 y)))
(*.f64 x (fma.f64 #s(literal 2 binary64) y x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(*.f64 x (fma.f64 #s(literal 2 binary64) y x))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(*.f64 x (fma.f64 #s(literal 2 binary64) y x))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(*.f64 x (fma.f64 #s(literal 2 binary64) y x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(*.f64 x (fma.f64 #s(literal 2 binary64) y x))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(*.f64 x (fma.f64 #s(literal 2 binary64) y x))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(*.f64 x (fma.f64 #s(literal 2 binary64) y x))
(pow x 2)
(*.f64 x x)
(+ (* 2 (* x y)) (pow x 2))
(*.f64 x (fma.f64 #s(literal 2 binary64) y x))
(+ (* 2 (* x y)) (pow x 2))
(*.f64 x (fma.f64 #s(literal 2 binary64) y x))
(+ (* 2 (* x y)) (pow x 2))
(*.f64 x (fma.f64 #s(literal 2 binary64) y x))
(* 2 (* x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(* y (+ (* 2 x) (/ (pow x 2) y)))
(*.f64 x (fma.f64 #s(literal 2 binary64) y x))
(* y (+ (* 2 x) (/ (pow x 2) y)))
(*.f64 x (fma.f64 #s(literal 2 binary64) y x))
(* y (+ (* 2 x) (/ (pow x 2) y)))
(*.f64 x (fma.f64 #s(literal 2 binary64) y x))
(* 2 (* x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y)))))
(*.f64 x (fma.f64 #s(literal 2 binary64) y x))
(* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y)))))
(*.f64 x (fma.f64 #s(literal 2 binary64) y x))
(* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y)))))
(*.f64 x (fma.f64 #s(literal 2 binary64) y x))
(* 2 (* x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(* y (+ y (* 2 x)))
(*.f64 y (fma.f64 x #s(literal 2 binary64) y))
(* y (+ y (* 2 x)))
(*.f64 y (fma.f64 x #s(literal 2 binary64) y))
(* y (+ y (* 2 x)))
(*.f64 y (fma.f64 x #s(literal 2 binary64) y))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(*.f64 y (fma.f64 x #s(literal 2 binary64) y))
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(*.f64 y (fma.f64 x #s(literal 2 binary64) y))
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(*.f64 y (fma.f64 x #s(literal 2 binary64) y))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(*.f64 y (fma.f64 x #s(literal 2 binary64) y))
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(*.f64 y (fma.f64 x #s(literal 2 binary64) y))
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(*.f64 y (fma.f64 x #s(literal 2 binary64) y))
(pow y 2)
(*.f64 y y)
(+ (* 2 (* x y)) (pow y 2))
(*.f64 y (fma.f64 x #s(literal 2 binary64) y))
(+ (* 2 (* x y)) (pow y 2))
(*.f64 y (fma.f64 x #s(literal 2 binary64) y))
(+ (* 2 (* x y)) (pow y 2))
(*.f64 y (fma.f64 x #s(literal 2 binary64) y))
(* 2 (* x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(* x (+ (* 2 y) (/ (pow y 2) x)))
(*.f64 y (fma.f64 x #s(literal 2 binary64) y))
(* x (+ (* 2 y) (/ (pow y 2) x)))
(*.f64 y (fma.f64 x #s(literal 2 binary64) y))
(* x (+ (* 2 y) (/ (pow y 2) x)))
(*.f64 y (fma.f64 x #s(literal 2 binary64) y))
(* 2 (* x y))
(.f64 #s(literal 2 binary64) (.f64 x y))
(* -1 (* x (+ (* -2 y) (* -1 (/ (pow y 2) x)))))
(*.f64 y (fma.f64 x #s(literal 2 binary64) y))
(* -1 (* x (+ (* -2 y) (* -1 (/ (pow y 2) x)))))
(*.f64 y (fma.f64 x #s(literal 2 binary64) y))
(* -1 (* x (+ (* -2 y) (* -1 (/ (pow y 2) x)))))
(*.f64 y (fma.f64 x #s(literal 2 binary64) y))
y
(+ y (* 2 x))
(fma.f64 x #s(literal 2 binary64) y)
(+ y (* 2 x))
(fma.f64 x #s(literal 2 binary64) y)
(+ y (* 2 x))
(fma.f64 x #s(literal 2 binary64) y)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (/ y x)))
(fma.f64 x #s(literal 2 binary64) y)
(* x (+ 2 (/ y x)))
(fma.f64 x #s(literal 2 binary64) y)
(* x (+ 2 (/ y x)))
(fma.f64 x #s(literal 2 binary64) y)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* -1 (* x (- (* -1 (/ y x)) 2)))
(fma.f64 x #s(literal 2 binary64) y)
(* -1 (* x (- (* -1 (/ y x)) 2)))
(fma.f64 x #s(literal 2 binary64) y)
(* -1 (* x (- (* -1 (/ y x)) 2)))
(fma.f64 x #s(literal 2 binary64) y)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(+ y (* 2 x))
(fma.f64 x #s(literal 2 binary64) y)
(+ y (* 2 x))
(fma.f64 x #s(literal 2 binary64) y)
(+ y (* 2 x))
(fma.f64 x #s(literal 2 binary64) y)
y
(* y (+ 1 (* 2 (/ x y))))
(fma.f64 x #s(literal 2 binary64) y)
(* y (+ 1 (* 2 (/ x y))))
(fma.f64 x #s(literal 2 binary64) y)
(* y (+ 1 (* 2 (/ x y))))
(fma.f64 x #s(literal 2 binary64) y)
y
(* -1 (* y (- (* -2 (/ x y)) 1)))
(fma.f64 x #s(literal 2 binary64) y)
(* -1 (* y (- (* -2 (/ x y)) 1)))
(fma.f64 x #s(literal 2 binary64) y)
(* -1 (* y (- (* -2 (/ x y)) 1)))
(fma.f64 x #s(literal 2 binary64) y)

eval79.0ms (2.1%)

Memory: 3.4MiB live, 225.6MiB allocated
Compiler: Compiled 15 901 to 1 093 computations (93.1% saved)

prune61.0ms (1.6%)

Memory

12.2MiB live, 174.8MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	638	0	638
Fresh	0	0	0
Picked	0	5	5
Done	0	0	0
Total	638	5	643

Accuracy

100.0%

Counts

643 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (fma.f64 #s(literal 2 binary64) y x) x (*.f64 y y))
✓	59.3%	(*.f64 y (fma.f64 #s(literal 2 binary64) x y))
✓	60.8%	(*.f64 y y)
✓	58.9%	(*.f64 x (fma.f64 #s(literal 2 binary64) y x))
✓	55.8%	(*.f64 x x)

Compiler

Compiled 79 to 36 computations (54.4% saved)

regimes9.0ms (0.2%)

Memory

-17.5MiB live, 21.9MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
(*.f64 x x)
(*.f64 y y)
(*.f64 x (fma.f64 #s(literal 2 binary64) y x))
(*.f64 y (fma.f64 #s(literal 2 binary64) x y))
(fma.f64 (fma.f64 #s(literal 2 binary64) y x) x (*.f64 y y))
(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))

Outputs
(fma.f64 (fma.f64 #s(literal 2 binary64) y x) x (*.f64 y y))

Calls

3 calls:

3.0ms	y
3.0ms	x
3.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))`

Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes7.0ms (0.2%)

Memory

12.6MiB live, 12.6MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
(*.f64 x x)
(*.f64 y y)
(*.f64 x (fma.f64 #s(literal 2 binary64) y x))
(*.f64 y (fma.f64 #s(literal 2 binary64) x y))

Outputs
(*.f64 x x)
(*.f64 y (fma.f64 #s(literal 2 binary64) x y))

Calls

3 calls:

2.0ms	x
2.0ms	y
2.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))

Results

Accuracy	Segments	Branch
89.4%	2	`x`
89.2%	2	`y`
68.4%	4	`(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))`

Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes2.0ms (0.1%)

Memory

4.2MiB live, 4.2MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs
(*.f64 x x)
(*.f64 y y)
(*.f64 x (fma.f64 #s(literal 2 binary64) y x))

Outputs
(*.f64 x x)
(*.f64 y y)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
89.3%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 x x)

Outputs
(*.f64 x x)

Calls

3 calls:

1.0ms	x
1.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))
1.0ms	y

Results

Accuracy	Segments	Branch
55.8%	1	`(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))`
55.8%	1	`y`
55.8%	1	`x`

Compiler

Compiled 21 to 13 computations (38.1% saved)

bsearch109.0ms (2.9%)

Memory

-24.2MiB live, 15.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
107.0ms	-9.715764349355046e-11	-2.632233203762338e-12

Samples

6.0ms

112×

valid

Compiler

Compiled 123 to 84 computations (31.7% saved)

Precisions

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

ival-mult: 3.0ms (81% of total)

ival-add: 1.0ms (27% of total)

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

exact: 0.0ms (0% of total)

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

bsearch11.0ms (0.3%)

Memory

15.6MiB live, 15.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	-9.715764349355046e-11	-2.632233203762338e-12

Samples

6.0ms

112×

valid

Compiler

Compiled 102 to 70 computations (31.4% saved)

Precisions

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

ival-mult: 3.0ms (84.9% of total)

ival-add: 1.0ms (28.3% of total)

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

exact: 0.0ms (0% of total)

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

simplify9.0ms (0.2%)

Memory

-22.7MiB live, 16.4MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	35
1	16	35

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (fma.f64 #s(literal 2 binary64) y x) x (*.f64 y y))
(if (<=.f64 x #s(literal -4332790137498831/1237940039285380274899124224 binary64)) (.f64 x x) (.f64 y (fma.f64 #s(literal 2 binary64) x y)))
(if (<=.f64 x #s(literal -4208996133570293/618970019642690137449562112 binary64)) (.f64 x x) (.f64 y y))
(*.f64 x x)

Outputs
(fma.f64 (fma.f64 #s(literal 2 binary64) y x) x (*.f64 y y))
(if (<=.f64 x #s(literal -4332790137498831/1237940039285380274899124224 binary64)) (.f64 x x) (.f64 y (fma.f64 #s(literal 2 binary64) x y)))
(if (<=.f64 x #s(literal -4208996133570293/618970019642690137449562112 binary64)) (.f64 x x) (.f64 y y))
(*.f64 x x)

soundness460.0ms (12.1%)

Memory

-17.3MiB live, 278.7MiB allocated

Rules

7 660×	`accelerator-lowering-fma.f32`
7 660×	`accelerator-lowering-fma.f64`
7 568×	`accelerator-lowering-fma.f32`
7 568×	`accelerator-lowering-fma.f64`
5 064×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	534
1	166	534
2	468	534
3	1334	534
4	3280	534
5	6441	534
0	8173	486
0	9	33
1	44	29
2	414	29
3	6349	29
0	8211	26

Stop Event

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

Compiler

Compiled 76 to 38 computations (50% saved)

preprocess41.0ms (1.1%)

Memory: 9.9MiB live, 85.3MiB allocated
Remove: (sort x y)
Compiler: Compiled 156 to 78 computations (50% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample962.0ms (25.2%)

preprocess48.0ms (1.3%)

explain162.0ms (4.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.2%)

localize28.0ms (0.7%)

series9.0ms (0.2%)

rewrite658.0ms (17.3%)

simplify288.0ms (7.6%)

eval69.0ms (1.8%)

prune33.0ms (0.9%)

simplify6.0ms (0.2%)

localize46.0ms (1.2%)

series10.0ms (0.3%)

rewrite438.0ms (11.5%)

simplify256.0ms (6.7%)

eval79.0ms (2.1%)

prune61.0ms (1.6%)

regimes9.0ms (0.2%)

regimes7.0ms (0.2%)

regimes2.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch109.0ms (2.9%)

bsearch11.0ms (0.3%)

simplify9.0ms (0.2%)

soundness460.0ms (12.1%)

preprocess41.0ms (1.1%)

end0.0ms (0%)

Profiling