Metrics for Numeric.Log:$clog1p from log-domain-0.10.2.1, A

analyze0.0ms (0%)

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 14 to 9 computations (35.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample824.0ms (14.2%)

Results

555.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 296.0ms

ival-mult: 201.0ms (67.9% of total)

ival-add: 82.0ms (27.7% of total)

const: 10.0ms (3.4% of total)

backward-pass: 3.0ms (1% of total)

Bogosity

preprocess39.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

266×	`sub-neg`
198×	`unsub-neg`
146×	`cancel-sign-sub-inv`
144×	`associate-+l-`
136×	`associate--r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	60
1	68	58
2	215	55
3	580	54
4	1133	54
5	1390	54
6	1439	54
0	8	9
1	15	9
2	25	9
3	27	9
0	27	8

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

Symmetry

(abs y)

explain95.0ms (1.6%)

FPErrors

Click to see full error table

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

Results

56.0ms

512×

valid

Compiler

Compiled 79 to 38 computations (51.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 21.0ms (66.3% of total)

ival-add: 9.0ms (28.4% of total)

const: 1.0ms (3.2% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 11 to 7 computations (36.4% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
▶	100.0%	(+.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y))

Compiler

Compiled 24 to 15 computations (37.5% saved)

localize96.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(*.f64 x #s(literal 2 binary64))
✓	cost-diff	128	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
✓	cost-diff	128	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(+.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 x (+.f64 x #s(literal 2 binary64)))
✓	cost-diff	0	(+.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
✓	accuracy	100.0%	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
✓	accuracy	100.0%	(+.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(+.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y))
✓	accuracy	100.0%	(*.f64 x (+.f64 x #s(literal 2 binary64)))

Rules

28×	`+-lowering-+.f64`
28×	`+-lowering-+.f32`
28×	`accelerator-lowering-fma.f32`
28×	`accelerator-lowering-fma.f64`
12×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	43
1	20	43
2	27	43
3	29	43
0	29	41

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

Results

47.0ms

256×

valid

Compiler

Compiled 56 to 25 computations (55.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 15.0ms (61.3% of total)

ival-add: 9.0ms (36.8% of total)

const: 1.0ms (4.1% of total)

backward-pass: 0.0ms (0% of total)

series13.0ms (0.2%)

Counts

8 → 120

Calls

Call 1

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

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

Calls

30 calls:

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

rewrite585.0ms (10.1%)

Algorithm

1×	batch-egg-rewrite

Rules

8230×	`accelerator-lowering-fma.f32`
8230×	`accelerator-lowering-fma.f64`
5590×	`-lowering-.f32`
5590×	`-lowering-.f64`
3730×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	72	40
2	516	40
0	8319	38

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 520

Calls

Call 1

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

Outputs
(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
(+.f64 (.f64 x x) (.f64 x #s(literal 2 binary64)))
(+.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 x (-.f64 #s(literal 2 binary64) x))) (neg.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(-.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 x (-.f64 #s(literal 2 binary64) x))) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 x (-.f64 #s(literal 2 binary64) x))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x (+.f64 x #s(literal -2 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (*.f64 x (+.f64 x #s(literal -2 binary64)))))
(fma.f64 x x (*.f64 x #s(literal 2 binary64)))
(fma.f64 x #s(literal 2 binary64) (*.f64 x x))
(fma.f64 x (/.f64 (.f64 x #s(literal 4 binary64)) (.f64 x (-.f64 #s(literal 2 binary64) x))) (neg.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 #s(literal 2 binary64) x (*.f64 x x))
(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 x (.f64 x #s(literal 2 binary64))) (.f64 x (-.f64 #s(literal 2 binary64) x))) (neg.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (.f64 x #s(literal 2 binary64)) (.f64 x (-.f64 #s(literal 2 binary64) x))) (neg.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (.f64 x (-.f64 #s(literal 2 binary64) x))) (neg.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) (.f64 x (-.f64 #s(literal 2 binary64) x))) (neg.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (.f64 x (.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (.f64 x (-.f64 #s(literal 2 binary64) x))) (neg.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (.f64 x #s(literal 4 binary64)) (/.f64 x (.f64 x (-.f64 #s(literal 2 binary64) x))) (neg.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (/.f64 x x) (/.f64 (.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 x (.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (/.f64 (.f64 x #s(literal 2 binary64)) x) (/.f64 (.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (/.f64 (.f64 x x) x) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (.f64 x x) (-.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 2 binary64))) x) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (/.f64 (.f64 x #s(literal 4 binary64)) x) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x x)))) (.f64 x (+.f64 x #s(literal 2 binary64))) (neg.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))) (+.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 (.f64 x x) (.f64 x (+.f64 x #s(literal 2 binary64))))) (neg.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x (-.f64 #s(literal 2 binary64) x)))))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 x #s(literal 2 binary64)))))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 x #s(literal -2 binary64))))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 x (-.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 x #s(literal -2 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x x)))) (-.f64 #s(literal 0 binary64) (.f64 x (-.f64 #s(literal 2 binary64) x))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x x))))) #s(literal 512 binary64)) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x x)))))))) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 x #s(literal -2 binary64))))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x x)))) #s(literal 64 binary64)) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x x)))) (-.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 x #s(literal -2 binary64))) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 x #s(literal -2 binary64)))) (.f64 x (+.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -2 binary64)) (.f64 x (+.f64 (.f64 x x) #s(literal -4 binary64)))))
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(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 (.f64 x x) (.f64 (+.f64 x #s(literal 2 binary64)) (.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64)))))) (.f64 y (.f64 y (.f64 (.f64 y y) (.f64 y y)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y)))))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 (.f64 x x) (.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64)))) (.f64 (.f64 y y) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (*.f64 y y)))))
(.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 (+.f64 (.f64 y y) (.f64 x x)) (+.f64 (.f64 y y) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 (+.f64 (.f64 y y) (.f64 x x)) (-.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 x #s(literal 2 binary64)))))))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 y y) (*.f64 x (+.f64 x #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y))))) (+.f64 (.f64 x (.f64 (.f64 x x) (.f64 (+.f64 x #s(literal 2 binary64)) (.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64)))))) (.f64 y (.f64 y (.f64 (.f64 y y) (.f64 y y))))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y))) (-.f64 (.f64 (.f64 x x) (.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64)))) (.f64 (.f64 y y) (*.f64 y y))))
(.f64 (-.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 (.f64 x x) (.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y y) (*.f64 x (+.f64 x #s(literal 2 binary64))))))
(.f64 (.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 x #s(literal 2 binary64)))) (-.f64 (.f64 x (-.f64 #s(literal 2 binary64) x)) (.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x (-.f64 #s(literal 2 binary64) x)) (.f64 y y))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64)))) (.f64 (.f64 y y) (.f64 y y))) (-.f64 (.f64 (.f64 x x) (.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64)))) (.f64 (.f64 y y) (.f64 y y)))) (+.f64 (.f64 y y) (*.f64 x (+.f64 x #s(literal 2 binary64)))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 (.f64 x x) (.f64 (+.f64 x #s(literal 2 binary64)) (.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64)))))) (.f64 y (.f64 y (.f64 (.f64 y y) (.f64 y y))))) (+.f64 (.f64 (.f64 x (.f64 (.f64 x x) (.f64 (+.f64 x #s(literal 2 binary64)) (.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64)))))) (.f64 x (.f64 (.f64 x x) (.f64 (+.f64 x #s(literal 2 binary64)) (.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))))))) (.f64 (.f64 y (.f64 y (-.f64 (.f64 y y) (.f64 x (+.f64 x #s(literal 2 binary64)))))) (.f64 (.f64 y (.f64 y (-.f64 (.f64 y y) (.f64 x (+.f64 x #s(literal 2 binary64)))))) (.f64 y (.f64 y (-.f64 (.f64 y y) (.f64 x (+.f64 x #s(literal 2 binary64)))))))))) (+.f64 (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 x (.f64 (.f64 x x) (.f64 (+.f64 x #s(literal 2 binary64)) (.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))))))) (.f64 (.f64 y (.f64 y (-.f64 (.f64 y y) (.f64 x (+.f64 x #s(literal 2 binary64)))))) (-.f64 (.f64 y (.f64 y (-.f64 (.f64 y y) (.f64 x (+.f64 x #s(literal 2 binary64)))))) (.f64 (.f64 x x) (*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))))))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 (.f64 x x) (.f64 (+.f64 x #s(literal 2 binary64)) (.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64)))))) (.f64 y (.f64 y (.f64 (.f64 y y) (.f64 y y))))) (.f64 (+.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (-.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y)))) (-.f64 (.f64 (.f64 x x) (.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64)))) (.f64 y (.f64 y (-.f64 (.f64 y y) (.f64 x (+.f64 x #s(literal 2 binary64))))))))) (-.f64 (.f64 (.f64 x x) (.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64)))) (.f64 y (.f64 y (-.f64 (.f64 y y) (*.f64 x (+.f64 x #s(literal 2 binary64))))))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64)))) (.f64 (.f64 y y) (.f64 y y))) (-.f64 (.f64 x (.f64 (.f64 x x) (.f64 (+.f64 x #s(literal 2 binary64)) (.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64)))))) (.f64 y (.f64 y (.f64 (.f64 y y) (.f64 y y)))))) (+.f64 (.f64 (.f64 x x) (.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64)))) (.f64 (.f64 y y) (+.f64 (.f64 y y) (.f64 x (+.f64 x #s(literal 2 binary64)))))))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(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)))

simplify435.0ms (7.5%)

Algorithm

1×	egg-herbie

Rules

7410×	`accelerator-lowering-fma.f32`
7410×	`accelerator-lowering-fma.f64`
4928×	`-lowering-.f32`
4928×	`-lowering-.f64`
1488×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	590
1	120	590
2	323	590
3	1194	590
4	2817	590
5	4722	590
0	8052	558

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

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

eval140.0ms (2.4%)

Compiler: Compiled 20809 to 8892 computations (57.3% saved)

prune53.0ms (0.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	652	6	658
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	653	7	660

Accuracy

100.0%

Counts

660 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(+.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64)))) (*.f64 y y))
✓	100.0%	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
	67.2%	(+.f64 (.f64 y y) (.f64 #s(literal 2 binary64) x))
▶	79.2%	(+.f64 (.f64 x x) (.f64 y y))
▶	46.9%	(*.f64 y y)
▶	61.7%	(*.f64 x (+.f64 #s(literal 2 binary64) x))
▶	41.6%	(*.f64 x x)

Compiler

Compiled 109 to 70 computations (35.8% saved)

localize98.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 22 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(+.f64 (.f64 x x) (.f64 y y))
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) x)
✓	cost-diff	0	(*.f64 x (+.f64 #s(literal 2 binary64) x))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(+.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64)))
✓	cost-diff	128	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))))
✓	cost-diff	128	(+.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64)))) (*.f64 y y))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(+.f64 (.f64 x x) (.f64 y y))
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) x)
✓	accuracy	100.0%	(*.f64 x (+.f64 #s(literal 2 binary64) x))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(+.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64)))) (*.f64 y y))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64)))
✓	accuracy	99.9%	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))))

Rules

28×	`+-lowering-+.f64`
28×	`+-lowering-+.f32`
28×	`accelerator-lowering-fma.f32`
28×	`accelerator-lowering-fma.f64`
16×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	53
1	25	47
2	29	47
3	44	47
4	47	47
0	47	45

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

Results

51.0ms

256×

valid

Compiler

Compiled 69 to 31 computations (55.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-add: 10.0ms (37.9% of total)

ival-div: 9.0ms (34.1% of total)

ival-mult: 5.0ms (18.9% of total)

const: 1.0ms (3.8% of total)

backward-pass: 0.0ms (0% of total)

series11.0ms (0.2%)

Counts

9 → 132

Calls

Call 1

Inputs
#<alt (/ x (/ 1 (+ x 2)))>
#<alt (/ 1 (+ x 2))>
#<alt (+ (/ x (/ 1 (+ x 2))) (* y y))>
#<alt (* y y)>
#<alt (* x x)>
#<alt (* x (+ 2 x))>
#<alt (+ 2 x)>
#<alt (+ (* x x) (* y y))>
#<alt (+ x 2)>

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

Calls

33 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/ 1 (+ x 2))
0.0ms	x	@	0	(+ (* x x) (* y y))
0.0ms	x	@	-inf	(/ 1 (+ x 2))
0.0ms	x	@	0	(/ 1 (+ x 2))
0.0ms	x	@	inf	(+ (* x x) (* y y))

rewrite602.0ms (10.4%)

Algorithm

1×	batch-egg-rewrite

Rules

6638×	`accelerator-lowering-fma.f32`
6638×	`accelerator-lowering-fma.f64`
4324×	`-lowering-.f32`
4324×	`-lowering-.f64`
3482×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	49
1	84	43
2	698	43
3	7767	43
0	8457	41

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 784

Calls

Call 1

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

Outputs
(+.f64 (.f64 x x) (.f64 x #s(literal 2 binary64)))
(+.f64 (.f64 x x) (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2 binary64)))
(+.f64 (.f64 x x) (.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) x)))
(+.f64 (.f64 x x) (.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))))
(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
(+.f64 (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2 binary64)) (.f64 x x))
(+.f64 (.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) x)) (.f64 x x))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))) (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal -2 binary64) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) x))) (*.f64 x (-.f64 #s(literal -2 binary64) x)))
(-.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 x (-.f64 #s(literal 2 binary64) x))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x (-.f64 #s(literal 2 binary64) x))))
(fma.f64 x x (*.f64 x #s(literal 2 binary64)))
(fma.f64 x x (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2 binary64)))
(fma.f64 x x (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 x x (.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))))
(fma.f64 x #s(literal 2 binary64) (*.f64 x x))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64)) (.f64 x x))
(fma.f64 #s(literal 2 binary64) x (*.f64 x x))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 x #s(literal 2 binary64)))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2 binary64)))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 0 binary64) x)) (.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 0 binary64) x)) (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 0 binary64) x)) (.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 0 binary64) x)) (.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x) (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x) (.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2 binary64) (*.f64 x x))
(fma.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) (.f64 x x))
(fma.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) x) (*.f64 x x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2 binary64)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))))
(neg.f64 (*.f64 x (-.f64 #s(literal -2 binary64) x)))
(neg.f64 (.f64 (.f64 x (-.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 x (-.f64 x #s(literal 2 binary64)))) (.f64 x (+.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) (.f64 x (-.f64 #s(literal 4 binary64) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 2 binary64)) (.f64 x (+.f64 (.f64 x x) #s(literal -4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 (.f64 x x) (.f64 x (-.f64 x #s(literal 2 binary64))))) (+.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (.f64 #s(literal 8 binary64) (.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 x (-.f64 #s(literal 2 binary64) x)))))
(/.f64 (+.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -2 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) x)))
(/.f64 (.f64 x (+.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 4 binary64) (.f64 x (-.f64 x #s(literal 2 binary64)))))
(/.f64 (.f64 x (-.f64 #s(literal 4 binary64) (.f64 x x))) (-.f64 #s(literal 2 binary64) x))
(/.f64 (.f64 x (+.f64 (.f64 x x) #s(literal -4 binary64))) (-.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 (.f64 x x) (*.f64 x (-.f64 x #s(literal 2 binary64))))))
(/.f64 (+.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))))))
(/.f64 (+.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)))) (.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 (.f64 x x) (.f64 x (-.f64 x #s(literal 2 binary64)))))))
(/.f64 (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 x (-.f64 #s(literal 2 binary64) x))) (.f64 x (-.f64 #s(literal 2 binary64) x)))
(/.f64 (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 x (-.f64 #s(literal 2 binary64) x))) (.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 2 binary64) x))))
(/.f64 (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 x (-.f64 x #s(literal 2 binary64)))) (.f64 x (-.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 x (+.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 4 binary64) (.f64 x (-.f64 x #s(literal 2 binary64))))))
(/.f64 (neg.f64 (.f64 x (-.f64 #s(literal 4 binary64) (.f64 x x)))) (-.f64 x #s(literal 2 binary64)))
(/.f64 (neg.f64 (.f64 x (+.f64 (.f64 x x) #s(literal -4 binary64)))) (-.f64 #s(literal 2 binary64) x))
(/.f64 (neg.f64 (+.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))) (neg.f64 (+.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.f64 (.f64 x x) (*.f64 x (-.f64 x #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 x (-.f64 #s(literal 2 binary64) x)))) (neg.f64 (.f64 x (-.f64 #s(literal 2 binary64) x))))
(/.f64 (/.f64 x (pow.f64 (+.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))) (pow.f64 (+.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))) (+.f64 #s(literal 4 binary64) (*.f64 x (-.f64 x #s(literal 2 binary64)))))
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 x x)))) (-.f64 #s(literal 2 binary64) x))
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(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -4 binary64) (-.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal -4 binary64) (-.f64 x #s(literal 2 binary64))) (/.f64 #s(literal -4 binary64) (-.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 2 binary64) x)) (/.f64 (.f64 x x) (-.f64 #s(literal 2 binary64) x))) (.f64 (/.f64 #s(literal -4 binary64) (-.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 x x) (-.f64 #s(literal 2 binary64) x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (-.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (-.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 x x) (-.f64 x #s(literal 2 binary64))) (/.f64 (.f64 x x) (-.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 (/.f64 #s(literal 4 binary64) (-.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 x #s(literal 2 binary64)))) (.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 x #s(literal 2 binary64)))))))
(/.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -4 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal 2 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 x (-.f64 x #s(literal 2 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -4 binary64) (-.f64 x #s(literal 2 binary64))) (/.f64 #s(literal -4 binary64) (-.f64 x #s(literal 2 binary64)))) (.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 2 binary64) x)) (/.f64 (.f64 x x) (-.f64 #s(literal 2 binary64) x)))) (+.f64 (/.f64 #s(literal -4 binary64) (-.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 x x) (-.f64 #s(literal 2 binary64) x))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (-.f64 x #s(literal 2 binary64))) (/.f64 (.f64 x x) (-.f64 x #s(literal 2 binary64)))) (.f64 (/.f64 #s(literal 4 binary64) (-.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 x #s(literal 2 binary64))))) (+.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 x #s(literal 2 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 4 binary64) (.f64 x (-.f64 x #s(literal 2 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (.f64 x x))) (-.f64 #s(literal 2 binary64) x))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) #s(literal -4 binary64))) (-.f64 x #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 (.f64 x x) #s(literal -4 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 4 binary64) (.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal 2 binary64) x))
(/.f64 (.f64 (+.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (+.f64 #s(literal 4 binary64) (.f64 x (-.f64 x #s(literal 2 binary64)))))
(/.f64 (.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (.f64 x (.f64 x x))) #s(literal -8 binary64))) (+.f64 #s(literal 4 binary64) (.f64 x (-.f64 x #s(literal 2 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (.f64 x (.f64 x x))) #s(literal -8 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 4 binary64) (.f64 x (-.f64 x #s(literal 2 binary64))))))
(/.f64 (.f64 (+.f64 (neg.f64 (.f64 x (.f64 x x))) #s(literal -8 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 4 binary64) (.f64 x (-.f64 x #s(literal 2 binary64))))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))))) #s(literal 512 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 x (-.f64 x #s(literal 2 binary64)))))) (+.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (-.f64 #s(literal 64 binary64) (.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))))) #s(literal 512 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 x (-.f64 x #s(literal 2 binary64)))))) (+.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x (*.f64 x x)) #s(literal -8 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 x (-.f64 x #s(literal 2 binary64)))))) (-.f64 #s(literal 8 binary64) (.f64 x (*.f64 x x))))
(/.f64 (.f64 (+.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 x (-.f64 x #s(literal 2 binary64)))))) (+.f64 (.f64 x (*.f64 x x)) #s(literal -8 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal 4 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x))) (+.f64 (*.f64 x x) #s(literal 4 binary64)))
(/.f64 (.f64 (+.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 2 binary64)))) (+.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 16 binary64)) (.f64 x (*.f64 x #s(literal 4 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 16 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 x x) #s(literal 4 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))) (+.f64 #s(literal 4 binary64) (*.f64 x (-.f64 x #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 x x)))) (-.f64 #s(literal 2 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -4 binary64)))) (-.f64 x #s(literal 2 binary64)))
(pow.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64)))
(*.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal -2 binary64) x) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 x (-.f64 x #s(literal 2 binary64))))))
(.f64 (+.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 x (-.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 x (-.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 4 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))
(.f64 (-.f64 #s(literal 4 binary64) (.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 4 binary64) (.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(.f64 (+.f64 (.f64 x x) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 2 binary64))))
(.f64 (+.f64 (.f64 x x) #s(literal -4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 (+.f64 (.f64 x x) #s(literal -4 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 (+.f64 (neg.f64 (.f64 x (.f64 x x))) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 4 binary64) (.f64 x (-.f64 x #s(literal 2 binary64)))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 x (-.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 4 binary64) (.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 2 binary64))) (+.f64 (.f64 x x) #s(literal -4 binary64)))
(.f64 (pow.f64 (+.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 x (-.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 4 binary64) (.f64 x x)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(.f64 (pow.f64 (+.f64 (.f64 x x) #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 x (-.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) #s(literal -4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 x (-.f64 x #s(literal 2 binary64))))))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))
(.f64 (.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 2 binary64))))
(.f64 (/.f64 (+.f64 (.f64 x x) #s(literal -4 binary64)) (+.f64 (*.f64 x x) #s(literal -4 binary64))) (+.f64 x #s(literal 2 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 4 binary64) (.f64 x x)) (-.f64 #s(literal 4 binary64) (*.f64 x x))) (+.f64 x #s(literal 2 binary64)))
(.f64 (/.f64 (+.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 64 binary64) (.f64 (.f64 x (-.f64 x #s(literal 2 binary64))) (.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 2 binary64)) (-.f64 x #s(literal 2 binary64))))))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 x (-.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 x (-.f64 x #s(literal 2 binary64))) #s(literal 4 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 16 binary64) (.f64 (.f64 x x) (.f64 (-.f64 x #s(literal 2 binary64)) (-.f64 x #s(literal 2 binary64)))))) (-.f64 #s(literal 4 binary64) (*.f64 x (-.f64 x #s(literal 2 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (+.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 4 binary64) (.f64 x #s(literal -2 binary64))) (.f64 (+.f64 #s(literal 4 binary64) (.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 4 binary64) (.f64 x #s(literal -2 binary64))))))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 4 binary64) (.f64 x #s(literal -2 binary64))) (-.f64 (+.f64 #s(literal 4 binary64) (.f64 x #s(literal -2 binary64))) (.f64 x x)))))
(.f64 (/.f64 (+.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 4 binary64) (.f64 x (-.f64 x #s(literal 2 binary64)))) (+.f64 (+.f64 (.f64 x x) #s(literal -4 binary64)) (.f64 x #s(literal 2 binary64))))) (+.f64 (+.f64 (.f64 x x) #s(literal -4 binary64)) (*.f64 x #s(literal 2 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 4 binary64) (.f64 x x)) (-.f64 #s(literal 8 binary64) (.f64 x (.f64 x x)))) (+.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) #s(literal 4 binary64)))
(.f64 (/.f64 (+.f64 (.f64 x x) #s(literal -4 binary64)) (+.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64))) (+.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) #s(literal 4 binary64)))

simplify635.0ms (11%)

Algorithm

1×	egg-herbie

Rules

9174×	`accelerator-lowering-fma.f32`
9174×	`accelerator-lowering-fma.f64`
3282×	`-lowering-.f32`
3282×	`-lowering-.f64`
1586×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	668
1	265	660
2	640	660
3	2021	656
4	4748	656
0	8152	616

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

Inputs
(* 2 x)
(* x (+ 2 x))
(* x (+ 2 x))
(* x (+ 2 x))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
1/2
(+ 1/2 (* -1/4 x))
(+ 1/2 (* x (- (* 1/8 x) 1/4)))
(+ 1/2 (* x (- (* x (+ 1/8 (* -1/16 x))) 1/4)))
(/ 1 x)
(/ (- 1 (* 2 (/ 1 x))) x)
(/ (- (+ 1 (/ 4 (pow x 2))) (* 2 (/ 1 x))) x)
(/ (- (+ 1 (/ 4 (pow x 2))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (pow x 3))))) x)
(/ 1 x)
(* -1 (/ (- (* 2 (/ 1 x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 x)) 2) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 x)) 4) x)) 2) x)) 1) x))
(pow y 2)
(+ (* 2 x) (pow y 2))
(+ (* x (+ 2 x)) (pow y 2))
(+ (* x (+ 2 x)) (pow y 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(* x (+ 2 x))
(+ (* x (+ 2 x)) (pow y 2))
(+ (* x (+ 2 x)) (pow y 2))
(+ (* x (+ 2 x)) (pow y 2))
(pow y 2)
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))
(pow y 2)
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (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 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)
(* x (+ 2 x))
(* x (+ 2 x))
(* x (+ 2 x))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
2
(+ 2 x)
(+ 2 x)
(+ 2 x)
x
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
x
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
(pow y 2)
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(pow x 2)
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(pow y 2)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(pow y 2)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
2
(+ 2 x)
(+ 2 x)
(+ 2 x)
x
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
x
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))

Outputs
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* x (+ 2 x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* x (+ 2 x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 x))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/4 binary64)))
(+ 1/2 (* x (- (* 1/8 x) 1/4)))
(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x #s(literal 1/8 binary64)))))
(+ 1/2 (* x (- (* x (+ 1/8 (* -1/16 x))) 1/4)))
(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x #s(literal -1/16 binary64)))))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (* 2 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(/ (- (+ 1 (/ 4 (pow x 2))) (* 2 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal -2 binary64)) x)) x)
(/ (- (+ 1 (/ 4 (pow x 2))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) x) #s(literal -4 binary64)) x)) x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (* 2 (/ 1 x)) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 x)) 2) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal -2 binary64)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 x)) 4) x)) 2) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) x) #s(literal -4 binary64)) x)) x)) x)
(pow y 2)
(*.f64 y y)
(+ (* 2 x) (pow y 2))
(+.f64 (.f64 #s(literal 2 binary64) x) (.f64 y y))
(+ (* x (+ 2 x)) (pow y 2))
(+.f64 (.f64 x (+.f64 #s(literal 2 binary64) x)) (.f64 y y))
(+ (* x (+ 2 x)) (pow y 2))
(+.f64 (.f64 x (+.f64 #s(literal 2 binary64) x)) (.f64 y y))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
(+.f64 (.f64 x (+.f64 #s(literal 2 binary64) x)) (.f64 y y))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
(+.f64 (.f64 x (+.f64 #s(literal 2 binary64) x)) (.f64 y y))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(+.f64 (.f64 x (+.f64 #s(literal 2 binary64) x)) (.f64 y y))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(+.f64 (.f64 x (+.f64 #s(literal 2 binary64) x)) (.f64 y y))
(* x (+ 2 x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(+ (* x (+ 2 x)) (pow y 2))
(+.f64 (.f64 x (+.f64 #s(literal 2 binary64) x)) (.f64 y y))
(+ (* x (+ 2 x)) (pow y 2))
(+.f64 (.f64 x (+.f64 #s(literal 2 binary64) x)) (.f64 y y))
(+ (* x (+ 2 x)) (pow y 2))
(+.f64 (.f64 x (+.f64 #s(literal 2 binary64) x)) (.f64 y y))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))
(+.f64 (.f64 x (+.f64 #s(literal 2 binary64) x)) (.f64 y y))
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))
(+.f64 (.f64 x (+.f64 #s(literal 2 binary64) x)) (.f64 y y))
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))
(+.f64 (.f64 x (+.f64 #s(literal 2 binary64) x)) (.f64 y y))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))
(+.f64 (.f64 x (+.f64 #s(literal 2 binary64) x)) (.f64 y y))
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))
(+.f64 (.f64 x (+.f64 #s(literal 2 binary64) x)) (.f64 y y))
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))
(+.f64 (.f64 x (+.f64 #s(literal 2 binary64) x)) (.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 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)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* x (+ 2 x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* x (+ 2 x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
2
#s(literal 2 binary64)
(+ 2 x)
(+.f64 #s(literal 2 binary64) x)
(+ 2 x)
(+.f64 #s(literal 2 binary64) x)
(+ 2 x)
(+.f64 #s(literal 2 binary64) x)
x
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)
x
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)
(pow y 2)
(*.f64 y y)
(+ (pow x 2) (pow y 2))
(+.f64 (.f64 x x) (.f64 y y))
(+ (pow x 2) (pow y 2))
(+.f64 (.f64 x x) (.f64 y y))
(+ (pow x 2) (pow y 2))
(+.f64 (.f64 x x) (.f64 y y))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(+.f64 (.f64 x x) (.f64 y y))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(+.f64 (.f64 x x) (.f64 y y))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(+.f64 (.f64 x x) (.f64 y y))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(+.f64 (.f64 x x) (.f64 y y))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(+.f64 (.f64 x x) (.f64 y y))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(+.f64 (.f64 x x) (.f64 y y))
(pow x 2)
(*.f64 x x)
(+ (pow x 2) (pow y 2))
(+.f64 (.f64 x x) (.f64 y y))
(+ (pow x 2) (pow y 2))
(+.f64 (.f64 x x) (.f64 y y))
(+ (pow x 2) (pow y 2))
(+.f64 (.f64 x x) (.f64 y y))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(+.f64 (.f64 x x) (.f64 y y))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(+.f64 (.f64 x x) (.f64 y y))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(+.f64 (.f64 x x) (.f64 y y))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(+.f64 (.f64 x x) (.f64 y y))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(+.f64 (.f64 x x) (.f64 y y))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(+.f64 (.f64 x x) (.f64 y y))
2
#s(literal 2 binary64)
(+ 2 x)
(+.f64 #s(literal 2 binary64) x)
(+ 2 x)
(+.f64 #s(literal 2 binary64) x)
(+ 2 x)
(+.f64 #s(literal 2 binary64) x)
x
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)
x
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)

eval178.0ms (3.1%)

Compiler: Compiled 21393 to 9363 computations (56.2% saved)

prune170.0ms (2.9%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	981	4	985
Fresh	1	0	1
Picked	1	4	5
Done	1	0	1
Total	984	8	992

Accuracy

100.0%

Counts

992 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	41.5%	(/.f64 x (/.f64 #s(literal 1 binary64) x))
▶	67.2%	(+.f64 (/.f64 x #s(literal 1/2 binary64)) (*.f64 y y))
✓	79.2%	(+.f64 (.f64 x x) (.f64 y y))
▶	61.7%	(+.f64 (.f64 x x) (.f64 x #s(literal 2 binary64)))
✓	46.9%	(*.f64 y y)
✓	61.7%	(*.f64 x (+.f64 #s(literal 2 binary64) x))
✓	41.6%	(*.f64 x x)
▶	23.2%	(*.f64 x #s(literal 2 binary64))

Compiler

Compiled 56 to 37 computations (33.9% saved)

localize134.0ms (2.3%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	128	(/.f64 x (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(/.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	(+.f64 (/.f64 x #s(literal 1/2 binary64)) (*.f64 y y))
✓	cost-diff	0	(*.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	128	(+.f64 (.f64 x x) (.f64 x #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.8%	(/.f64 x (/.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(/.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(+.f64 (/.f64 x #s(literal 1/2 binary64)) (*.f64 y y))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 (.f64 x x) (.f64 x #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))

Rules

16×	`/-lowering-/.f32`
16×	`/-lowering-/.f64`
16×	`-lowering-.f32`
16×	`-lowering-.f64`
12×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	35
1	22	35
2	26	35
3	33	35
4	36	35
5	36	35
0	36	34

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

Results

93.0ms

256×

valid

Compiler

Compiled 49 to 26 computations (46.9% saved)

Precisions

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

ival-mult: 9.0ms (42.5% of total)

ival-div: 8.0ms (37.7% of total)

ival-add: 3.0ms (14.2% of total)

const: 1.0ms (4.7% of total)

backward-pass: 0.0ms (0% of total)

series12.0ms (0.2%)

Counts

8 → 108

Calls

Call 1

Inputs
#<alt (* x 2)>
#<alt (+ (* x x) (* x 2))>
#<alt (* x x)>
#<alt (+ (/ x 1/2) (* y y))>
#<alt (* y y)>
#<alt (/ x 1/2)>
#<alt (/ x (/ 1 x))>
#<alt (/ 1 x)>

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

27 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(/ 1 x)
0.0ms	x	@	0	(/ 1 x)
0.0ms	x	@	inf	(+ (/ x 1/2) (* y y))
0.0ms	y	@	inf	(+ (/ x 1/2) (* y y))
0.0ms	x	@	-inf	(+ (/ x 1/2) (* y y))

rewrite555.0ms (9.6%)

Algorithm

1×	batch-egg-rewrite

Rules

5910×	`accelerator-lowering-fma.f32`
5910×	`accelerator-lowering-fma.f64`
3586×	`-lowering-.f32`
3586×	`-lowering-.f64`
2978×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	30
1	72	30
2	484	30
3	7547	30
0	8389	29

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 428

Calls

Call 1

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

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -2 binary64)))
(neg.f64 (*.f64 x #s(literal -2 binary64)))
(/.f64 x #s(literal 1/2 binary64))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(*.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1/2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x #s(literal -2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))
(+.f64 (*.f64 x x) (/.f64 x #s(literal 1/2 binary64)))
(+.f64 (.f64 x x) (.f64 x #s(literal -2 binary64)))
(+.f64 (/.f64 x #s(literal 1/2 binary64)) (*.f64 x x))
(+.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x (+.f64 x #s(literal -2 binary64)))) (neg.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) (*.f64 x (+.f64 x #s(literal -2 binary64)))))))
(+.f64 (.f64 x #s(literal -2 binary64)) (.f64 x x))
(-.f64 (*.f64 x x) (/.f64 x #s(literal 1/2 binary64)))
(-.f64 (.f64 x x) (.f64 x #s(literal -2 binary64)))
(-.f64 (/.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x (+.f64 x #s(literal -2 binary64)))) (.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) (*.f64 x (+.f64 x #s(literal -2 binary64))))))
(-.f64 (/.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))) (+.f64 (/.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 (.f64 x x) (.f64 x (+.f64 x #s(literal -2 binary64)))))) (/.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (+.f64 (/.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 (.f64 x x) (*.f64 x (+.f64 x #s(literal -2 binary64)))))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (.f64 x x) #s(literal 1/4 binary64)) (-.f64 (/.f64 x #s(literal 1/2 binary64)) (.f64 y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 y y) (.f64 y y)) (-.f64 (/.f64 x #s(literal 1/2 binary64)) (.f64 y y))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (/.f64 (.f64 x x) #s(literal 1/4 binary64)) (-.f64 (/.f64 x #s(literal 1/2 binary64)) (.f64 y y))) (/.f64 (/.f64 (.f64 x x) #s(literal 1/4 binary64)) (-.f64 (/.f64 x #s(literal 1/2 binary64)) (.f64 y y)))) (+.f64 (.f64 (/.f64 (.f64 (.f64 y y) (.f64 y y)) (-.f64 (/.f64 x #s(literal 1/2 binary64)) (.f64 y y))) (/.f64 (.f64 (.f64 y y) (.f64 y y)) (-.f64 (/.f64 x #s(literal 1/2 binary64)) (.f64 y y)))) (.f64 (/.f64 (/.f64 (.f64 x x) #s(literal 1/4 binary64)) (-.f64 (/.f64 x #s(literal 1/2 binary64)) (.f64 y y))) (/.f64 (.f64 (.f64 y y) (.f64 y y)) (-.f64 (/.f64 x #s(literal 1/2 binary64)) (*.f64 y y)))))))
(/.f64 (-.f64 (.f64 (/.f64 (/.f64 (.f64 x x) #s(literal 1/4 binary64)) (-.f64 (/.f64 x #s(literal 1/2 binary64)) (.f64 y y))) (/.f64 (/.f64 (.f64 x x) #s(literal 1/4 binary64)) (-.f64 (/.f64 x #s(literal 1/2 binary64)) (.f64 y y)))) (.f64 (/.f64 (.f64 (.f64 y y) (.f64 y y)) (-.f64 (/.f64 x #s(literal 1/2 binary64)) (.f64 y y))) (/.f64 (.f64 (.f64 y y) (.f64 y y)) (-.f64 (/.f64 x #s(literal 1/2 binary64)) (.f64 y y))))) (+.f64 (/.f64 (/.f64 (.f64 x x) #s(literal 1/4 binary64)) (-.f64 (/.f64 x #s(literal 1/2 binary64)) (.f64 y y))) (/.f64 (.f64 (.f64 y y) (.f64 y y)) (-.f64 (/.f64 x #s(literal 1/2 binary64)) (.f64 y y)))))
(/.f64 (.f64 (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) #s(literal 1 binary64)) (+.f64 (/.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 y (.f64 y (+.f64 (.f64 y y) (*.f64 x #s(literal -2 binary64)))))))
(/.f64 (.f64 (-.f64 (/.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 (.f64 y y) (.f64 y y))) #s(literal 1 binary64)) (-.f64 (/.f64 x #s(literal 1/2 binary64)) (.f64 y y)))
(/.f64 (.f64 (+.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (/.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))) #s(literal 1/64 binary64))) (.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) (.f64 (.f64 y y) (.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 y (.f64 y (+.f64 (.f64 y y) (.f64 x #s(literal -2 binary64)))))))) (+.f64 (/.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))) #s(literal 1/64 binary64)) (.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) (-.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) (/.f64 (.f64 x (*.f64 x x)) #s(literal 1/8 binary64))))))
(/.f64 (.f64 (-.f64 (/.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))) #s(literal 1/64 binary64)) (.f64 (.f64 y y) (.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 y (.f64 y (+.f64 (.f64 y y) (.f64 x #s(literal -2 binary64)))))))) (-.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 (.f64 y y) (.f64 (.f64 y y) (*.f64 y y)))))
(/.f64 (.f64 (-.f64 (/.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))) #s(literal 1/64 binary64)) (.f64 (.f64 y y) (.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 x #s(literal 1/2 binary64)) (.f64 y y)))) (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/16 binary64)) (.f64 (.f64 (.f64 y y) (.f64 y y)) (+.f64 (/.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 (.f64 y y) (*.f64 y y))))))
(/.f64 (.f64 (-.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/16 binary64)) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 x #s(literal 1/2 binary64)) (.f64 y y)))) (+.f64 (/.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 (.f64 y y) (.f64 y y))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 1/2 binary64)) (*.f64 y y))) #s(literal -1 binary64))
(.f64 (+.f64 (/.f64 x #s(literal 1/2 binary64)) (.f64 y y)) (.f64 (-.f64 (/.f64 x #s(literal 1/2 binary64)) (.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 x #s(literal 1/2 binary64)) (*.f64 y y)))))
(.f64 (+.f64 (/.f64 x #s(literal 1/2 binary64)) (.f64 y y)) (/.f64 (-.f64 (/.f64 x #s(literal 1/2 binary64)) (.f64 y y)) (-.f64 (/.f64 x #s(literal 1/2 binary64)) (.f64 y y))))
(.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 1/2 binary64)) (.f64 y y)))
(.f64 (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 y (.f64 y (+.f64 (.f64 y y) (*.f64 x #s(literal -2 binary64))))))))
(.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 y (.f64 y (+.f64 (.f64 y y) (.f64 x #s(literal -2 binary64)))))) (.f64 (+.f64 (/.f64 x #s(literal 1/2 binary64)) (.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 y (.f64 y (+.f64 (.f64 y y) (*.f64 x #s(literal -2 binary64)))))))))
(.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 y (.f64 y (+.f64 (.f64 y y) (.f64 x #s(literal -2 binary64)))))) (/.f64 (+.f64 (/.f64 x #s(literal 1/2 binary64)) (.f64 y y)) (+.f64 (/.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 y (.f64 y (+.f64 (.f64 y y) (.f64 x #s(literal -2 binary64))))))))
(.f64 (-.f64 (/.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 (.f64 y y) (.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 x #s(literal 1/2 binary64)) (.f64 y y))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 y (.f64 y (+.f64 (.f64 y y) (*.f64 x #s(literal -2 binary64)))))))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 (.f64 y y) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 x #s(literal 1/2 binary64)) (.f64 y y)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 y (.f64 y (+.f64 (.f64 y y) (.f64 x #s(literal -2 binary64))))))) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 (.f64 y y) (.f64 (.f64 y y) (*.f64 y y)))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 x #s(literal 1/2 binary64)) (.f64 y y))) (-.f64 (/.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 (.f64 y y) (.f64 y y))))
(.f64 (+.f64 (.f64 (.f64 y y) (.f64 y y)) (/.f64 x (/.f64 #s(literal -1/4 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y y) (.f64 x #s(literal -2 binary64)))))
(.f64 (/.f64 (-.f64 (/.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 (.f64 y y) (.f64 y y))) (-.f64 (/.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 (.f64 y y) (.f64 y y)))) (+.f64 (/.f64 x #s(literal 1/2 binary64)) (.f64 y y)))
(.f64 (/.f64 (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) (+.f64 (/.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x))) #s(literal 1/64 binary64)) (.f64 (.f64 y (.f64 y (+.f64 (.f64 y y) (.f64 x #s(literal -2 binary64))))) (.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 (+.f64 (.f64 y y) (.f64 x #s(literal -2 binary64))) (+.f64 (.f64 y y) (.f64 x #s(literal -2 binary64)))))))) (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/16 binary64)) (.f64 (.f64 y (.f64 y (+.f64 (.f64 y y) (.f64 x #s(literal -2 binary64))))) (-.f64 (.f64 y (.f64 y (+.f64 (.f64 y y) (.f64 x #s(literal -2 binary64))))) (/.f64 (.f64 x x) #s(literal 1/4 binary64))))))
(.f64 (/.f64 (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) (-.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/16 binary64)) (.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 (+.f64 (.f64 y y) (.f64 x #s(literal -2 binary64))) (+.f64 (.f64 y y) (.f64 x #s(literal -2 binary64))))))) (-.f64 (/.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 y (.f64 y (+.f64 (.f64 y y) (*.f64 x #s(literal -2 binary64)))))))
(.f64 (/.f64 (-.f64 (/.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 (.f64 y y) (.f64 y y))) (-.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))))) (+.f64 (/.f64 (.f64 x x) #s(literal 1/4 binary64)) (.f64 (.f64 y y) (+.f64 (/.f64 x #s(literal 1/2 binary64)) (.f64 y y)))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(*.f64 y y)
(.f64 (.f64 y y) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 y y))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(.f64 (.f64 #s(literal 1 binary64) y) y)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -2 binary64)))
(neg.f64 (*.f64 x #s(literal -2 binary64)))
(/.f64 x #s(literal 1/2 binary64))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(*.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1/2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x #s(literal -2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1 binary64))
(/.f64 (/.f64 x (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) x) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 x (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 x (pow.f64 x #s(literal -1/2 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(pow.f64 x #s(literal -1 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))

simplify455.0ms (7.9%)

Algorithm

1×	egg-herbie

Rules

3360×	`accelerator-lowering-fma.f32`
3360×	`accelerator-lowering-fma.f64`
3220×	`-lowering-.f32`
3220×	`-lowering-.f64`
1668×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	414
1	76	414
2	181	414
3	519	414
4	1492	414
5	3213	414
6	6220	414
0	8256	396

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

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

eval145.0ms (2.5%)

Compiler: Compiled 9412 to 4393 computations (53.3% saved)

prune113.0ms (1.9%)

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	568	0	568
Fresh	0	0	0
Picked	0	4	4
Done	0	4	4
Total	568	8	576

Accuracy

100.0%

Counts

576 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	41.5%	(/.f64 x (/.f64 #s(literal 1 binary64) x))
✓	67.2%	(+.f64 (/.f64 x #s(literal 1/2 binary64)) (*.f64 y y))
✓	79.2%	(+.f64 (.f64 x x) (.f64 y y))
✓	61.7%	(+.f64 (.f64 x x) (.f64 x #s(literal 2 binary64)))
✓	46.9%	(*.f64 y y)
✓	61.7%	(*.f64 x (+.f64 #s(literal 2 binary64) x))
✓	41.6%	(*.f64 x x)
✓	23.2%	(*.f64 x #s(literal 2 binary64))

Compiler

Compiled 136 to 73 computations (46.3% saved)

regimes21.0ms (0.4%)

Counts

12 → 1

Calls

Call 1

Inputs
(*.f64 x #s(literal 2 binary64))
(*.f64 x x)
(*.f64 y y)
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(+.f64 (.f64 x x) (.f64 x #s(literal 2 binary64)))
(+.f64 (.f64 x x) (.f64 y y))
(+.f64 (.f64 y y) (.f64 #s(literal 2 binary64) x))
(+.f64 (/.f64 x #s(literal 1/2 binary64)) (*.f64 y y))
(+.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y))
(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
(+.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64)))) (*.f64 y y))

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

Calls

5 calls:

5.0ms	x
5.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
4.0ms	y
3.0ms	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
3.0ms	(*.f64 y y)

Results

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

Compiler

Compiled 33 to 21 computations (36.4% saved)

regimes10.0ms (0.2%)

Counts

10 → 1

Calls

Call 1

Inputs
(*.f64 x #s(literal 2 binary64))
(*.f64 x x)
(*.f64 y y)
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(+.f64 (.f64 x x) (.f64 x #s(literal 2 binary64)))
(+.f64 (.f64 x x) (.f64 y y))
(+.f64 (.f64 y y) (.f64 #s(literal 2 binary64) x))
(+.f64 (/.f64 x #s(literal 1/2 binary64)) (*.f64 y y))
(+.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y))

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

Calls

3 calls:

4.0ms	x
3.0ms	y
2.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(*.f64 y y)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes25.0ms (0.4%)

Counts

9 → 3

Calls

Call 1

Inputs
(*.f64 x #s(literal 2 binary64))
(*.f64 x x)
(*.f64 y y)
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(+.f64 (.f64 x x) (.f64 x #s(literal 2 binary64)))
(+.f64 (.f64 x x) (.f64 y y))
(+.f64 (.f64 y y) (.f64 #s(literal 2 binary64) x))
(+.f64 (/.f64 x #s(literal 1/2 binary64)) (*.f64 y y))

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

Calls

3 calls:

12.0ms	y
8.0ms	x
4.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
98.8%	3	`x`
96.6%	2	`y`
96.6%	2	`(*.f64 y y)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes18.0ms (0.3%)

Counts

7 → 2

Calls

Call 1

Inputs
(*.f64 x #s(literal 2 binary64))
(*.f64 x x)
(*.f64 y y)
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(+.f64 (.f64 x x) (.f64 x #s(literal 2 binary64)))
(+.f64 (.f64 x x) (.f64 y y))

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

Calls

3 calls:

7.0ms	x
7.0ms	y
4.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
96.6%	2	`y`
96.6%	2	`(*.f64 y y)`
81.1%	3	`x`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes10.0ms (0.2%)

Counts

6 → 2

Calls

Call 1

Inputs
(*.f64 x #s(literal 2 binary64))
(*.f64 x x)
(*.f64 y y)
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(+.f64 (.f64 x x) (.f64 x #s(literal 2 binary64)))

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

Calls

2 calls:

6.0ms	y
3.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
85.8%	2	`y`
85.8%	2	`(*.f64 y y)`

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes9.0ms (0.2%)

Counts

5 → 2

Calls

Call 1

Inputs
(*.f64 x #s(literal 2 binary64))
(*.f64 x x)
(*.f64 y y)
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(/.f64 x (/.f64 #s(literal 1 binary64) x))

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

Calls

2 calls:

5.0ms	y
3.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
85.8%	2	`y`
85.8%	2	`(*.f64 y y)`

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes12.0ms (0.2%)

Counts

3 → 5

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	x
4.0ms	y
2.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
74.2%	5	`x`
68.2%	3	`y`
67.4%	3	`(*.f64 y y)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes5.0ms (0.1%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
44.2%	2	`y`
60.5%	3	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

0.0ms	x
0.0ms	y

Results

Accuracy	Segments	Branch
23.2%	1	`y`
23.2%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch31.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	6.47896934414473e-11	97.92685476088408
13.0ms	-659318036186.2128	-1589.3057279608686

Results

19.0ms

304×

valid

Compiler

Compiled 398 to 259 computations (34.9% saved)

Precisions

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

ival-mult: 6.0ms (64.1% of total)

ival-add: 3.0ms (32.1% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch15.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	3.2760323379946886e-161	1.4860672933919967e-145

Results

9.0ms

160×

valid

Compiler

Compiled 198 to 132 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-add: 2.0ms (42.1% of total)

ival-mult: 2.0ms (42.1% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch13.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.0778390412692674e-61	1.8603869920743195e-56

Results

7.0ms

144×

valid

Compiler

Compiled 144 to 102 computations (29.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (57.7% of total)

ival-add: 1.0ms (28.8% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch13.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.0778390412692674e-61	1.8603869920743195e-56

Results

7.0ms

144×

valid

Compiler

Compiled 126 to 93 computations (26.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (58.3% of total)

ival-add: 1.0ms (29.2% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch61.0ms (1.1%)

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.7725857692050873e+21	1.2370254984715844e+26
14.0ms	6.47896934414473e-11	97.92685476088408
12.0ms	2.2629142593259365e-36	9.773677482306133e-33
13.0ms	-2.9877310178996236e+85	-3.793549037372426e+79

Results

33.0ms

576×

valid

Compiler

Compiled 450 to 318 computations (29.3% saved)

Precisions

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

ival-mult: 12.0ms (66.5% of total)

ival-add: 6.0ms (33.2% of total)

const: 1.0ms (5.5% of total)

backward-pass: 0.0ms (0% of total)

bsearch29.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	6.47896934414473e-11	97.92685476088408
11.0ms	-1589.3057279608686	-0.613081725488226

Results

17.0ms

288×

valid

Compiler

Compiled 234 to 174 computations (25.6% saved)

Precisions

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

ival-mult: 6.0ms (66.3% of total)

ival-add: 3.0ms (33.2% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

soundness2.0ms (0%)

Stop Event

1×

done

Compiler

Compiled 152 to 64 computations (57.9% saved)

preprocess129.0ms (2.2%)

Remove: (abs y)
Compiler: Compiled 460 to 224 computations (51.3% saved)

analyze0.0ms (0%)

sample824.0ms (14.2%)

preprocess39.0ms (0.7%)

explain95.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize96.0ms (1.7%)

series13.0ms (0.2%)

rewrite585.0ms (10.1%)

simplify435.0ms (7.5%)

eval140.0ms (2.4%)

prune53.0ms (0.9%)

localize98.0ms (1.7%)

series11.0ms (0.2%)

rewrite602.0ms (10.4%)

simplify635.0ms (11%)

eval178.0ms (3.1%)

prune170.0ms (2.9%)

localize134.0ms (2.3%)

series12.0ms (0.2%)

rewrite555.0ms (9.6%)

simplify455.0ms (7.9%)

eval145.0ms (2.5%)

prune113.0ms (1.9%)

regimes21.0ms (0.4%)

regimes10.0ms (0.2%)

regimes25.0ms (0.4%)

regimes18.0ms (0.3%)

regimes10.0ms (0.2%)

regimes9.0ms (0.2%)

regimes12.0ms (0.2%)

regimes5.0ms (0.1%)

regimes1.0ms (0%)

bsearch31.0ms (0.5%)

bsearch15.0ms (0.3%)

bsearch13.0ms (0.2%)

bsearch13.0ms (0.2%)

bsearch61.0ms (1.1%)

bsearch29.0ms (0.5%)

soundness2.0ms (0%)

preprocess129.0ms (2.2%)

end0.0ms (0%)

Profiling