Metrics for x / (x^2 + 1)

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
100%	100%	0%	0%	0%	0%	0%	2

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample568.0ms (5.8%)

Memory

2.9MiB live, 663.1MiB allocated

Samples

360.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 212.0ms

ival-mult: 96.0ms (45.3% of total)

ival-div: 58.0ms (27.4% of total)

ival-add: 45.0ms (21.2% of total)

ival-true: 5.0ms (2.4% of total)

exact: 5.0ms (2.4% of total)

ival-assert: 3.0ms (1.4% of total)

Bogosity

preprocess20.0ms (0.2%)

Memory

23.8MiB live, 23.8MiB allocated

Algorithm

2×	egg-herbie

Rules

46×	`associate-l`
42×	`times-frac`
30×	`unsub-neg`
28×	`distribute-lft-neg-in`
26×	`distribute-neg-frac2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	28	22
2	64	21
3	130	21
4	234	21
5	332	21
6	345	21
7	347	21
8	351	21
0	5	7
1	8	7
0	8	6

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

Inputs
(/ x (+ (* x x) 1))
(/ (neg x) (+ (* (neg x) (neg x)) 1))
(neg (/ (neg x) (+ (* (neg x) (neg x)) 1)))

Outputs
(/ x (+ (* x x) 1))
(/ x (+ 1 (* x x)))
(/ (neg x) (+ (* (neg x) (neg x)) 1))
(/ x (- -1 (* x x)))
(neg (/ (neg x) (+ (* (neg x) (neg x)) 1)))
(/ x (+ 1 (* x x)))

Symmetry

(negabs x)

explain69.0ms (0.7%)

Memory

6.2MiB live, 118.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
64	-	-	`(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`
0	-	-	`(*.f64 x x)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))`	n/o	64	0
↳	`(*.f64 x x)`	overflow	64
↳	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`	overflow	64

Confusion

	Predicted +	Predicted -
+	64	0
-	0	192

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	64	0	0
-	0	0	192

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	192
1	64

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

24.0ms

512×

valid

Compiler

Compiled 54 to 24 computations (55.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 4.0ms (37.7% of total)

ival-div: 3.0ms (28.3% of total)

ival-add: 2.0ms (18.8% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.5%	(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify3.0ms (0%)

Memory

5.9MiB live, 5.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
✓	cost-diff	128	(+.f64 (*.f64 x x) #s(literal 1 binary64))

Rules

4×	`+-lowering-+.f64`
4×	`+-lowering-+.f32`
2×	`/-lowering-/.f32`
2×	`/-lowering-/.f64`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	17
1	8	17
0	8	15

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize21.0ms (0.2%)

Memory

-9.9MiB live, 34.5MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (*.f64 x x) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	76.5%	(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))

Samples

14.0ms

256×

valid

Compiler

Compiled 19 to 7 computations (63.2% saved)

Precisions

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

ival-div: 2.0ms (38.2% of total)

ival-mult: 2.0ms (38.2% of total)

ival-add: 1.0ms (19.1% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated

Counts

3 → 36

Calls

Call 1

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

Outputs
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt x>
#<alt (* x (+ 1 (* -1 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))>
#<alt (/ 1 x)>
#<alt (/ (- 1 (/ 1 (pow x 2))) x)>
#<alt (/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)>
#<alt (/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (/ 1 (pow x 2)) 1) x))>
#<alt (* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))>
#<alt (* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) 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

9 calls:

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

rewrite763.0ms (7.8%)

Memory

9.2MiB live, 566.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 942×	`/-lowering-/.f32`
4 942×	`/-lowering-/.f64`
4 762×	`accelerator-lowering-fma.f32`
4 762×	`accelerator-lowering-fma.f64`
3 572×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
1	30	15
2	199	15
3	1759	15
0	8554	13

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 327

Calls

Call 1

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

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

simplify709.0ms (7.3%)

Memory

-8.2MiB live, 669.2MiB allocated

Algorithm

1×	egg-herbie

Rules

12 662×	`accelerator-lowering-fma.f32`
12 662×	`accelerator-lowering-fma.f64`
2 988×	`-lowering-.f32`
2 988×	`-lowering-.f64`
1 640×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	226
1	131	224
2	312	216
3	888	212
4	2381	210
5	5550	210
6	7627	210
0	8047	197

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

Inputs
1
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
x
(* x (+ 1 (* -1 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))
(/ 1 x)
(/ (- 1 (/ 1 (pow x 2))) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)
(/ 1 x)
(* -1 (/ (- (/ 1 (pow x 2)) 1) x))
(* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))
(* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) 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
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
x
(* x (+ 1 (* -1 (pow x 2))))
(*.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))
(.f64 x (fma.f64 x (.f64 x (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))
(-.f64 #s(literal 0 binary64) (.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (.f64 x (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (/ 1 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64)))) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)
(/.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (/ 1 (pow x 2)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64)))) x)
(* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))
(/.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) x)
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))

eval40.0ms (0.4%)

Memory: 14.6MiB live, 92.4MiB allocated
Compiler: Compiled 12 457 to 1 060 computations (91.5% saved)

prune75.0ms (0.8%)

Memory

-24.0MiB live, 97.2MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	357	6	363
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	358	6	364

Accuracy

100.0%

Counts

364 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	76.2%	(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
▶	76.5%	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
▶	50.1%	(/.f64 #s(literal 1 binary64) x)
▶	76.5%	(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) x)
▶	51.7%	(*.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
▶	52.6%	x

Compiler

Compiled 84 to 50 computations (40.5% saved)

simplify506.0ms (5.2%)

Memory

47.3MiB live, 583.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 x x #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))
✓	cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) x)
✓	cost-diff	-64	(*.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
✓	cost-diff	0	(fma.f64 x x #s(literal 0 binary64))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(fma.f64 x x #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))

Rules

10 654×	`accelerator-lowering-fma.f32`
10 654×	`accelerator-lowering-fma.f64`
2 296×	`-lowering-.f32`
2 296×	`-lowering-.f64`
1 998×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	59
1	25	59
2	53	59
3	111	57
4	173	57
5	225	57
6	344	57
7	823	57
8	1339	57
9	2654	57
10	3841	57
11	5657	57
12	7174	57
13	7868	57
0	8004	52

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ x (+ (* x x) 1))
x
(+ (* x x) 1)
1
x
(/ 1 x)
1
x
(* x (- 1 (+ (* x x) 0)))
x
(- 1 (+ (* x x) 0))
1
(+ (* x x) 0)
0
(* (/ 1 (+ (* x x) 1)) x)
(/ 1 (+ (* x x) 1))
1
(+ (* x x) 1)
x

Outputs
(/ x (+ (* x x) 1))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
x
(+ (* x x) 1)
(fma.f64 x x #s(literal 1 binary64))
1
#s(literal 1 binary64)
x
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(* x (- 1 (+ (* x x) 0)))
(fma.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))
x
(- 1 (+ (* x x) 0))
(-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))
1
#s(literal 1 binary64)
(+ (* x x) 0)
(fma.f64 x x #s(literal 0 binary64))
0
#s(literal 0 binary64)
(* (/ 1 (+ (* x x) 1)) x)
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(/ 1 (+ (* x x) 1))
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ (* x x) 1)
(fma.f64 x x #s(literal 1 binary64))
x

localize50.0ms (0.5%)

Memory

-27.2MiB live, 89.7MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x x #s(literal 1 binary64))
✓	accuracy	99.1%	(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))
✓	accuracy	77.6%	(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) x)
✓	accuracy	100.0%	(fma.f64 x x #s(literal 0 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))
✓	accuracy	99.9%	(*.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(fma.f64 x x #s(literal 1 binary64))
✓	accuracy	76.5%	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))

Samples

26.0ms

256×

valid

Compiler

Compiled 61 to 14 computations (77% saved)

Precisions

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

ival-mult: 7.0ms (43% of total)

ival-div: 5.0ms (30.7% of total)

ival-add: 2.0ms (12.3% of total)

ival-sub: 1.0ms (6.1% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

6.7MiB live, 6.7MiB allocated

Counts

8 → 96

Calls

Call 1

Inputs
#<alt (/ x (+ (* x x) 1))>
#<alt (+ (* x x) 1)>
#<alt (/ 1 x)>
#<alt (- 1 (+ (* x x) 0))>
#<alt (+ (* x x) 0)>
#<alt (* x (- 1 (+ (* x x) 0)))>
#<alt (* (/ 1 (+ (* x x) 1)) x)>
#<alt (/ 1 (+ (* x x) 1))>

Outputs
#<alt x>
#<alt (* x (+ 1 (* -1 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))>
#<alt (/ 1 x)>
#<alt (/ (- 1 (/ 1 (pow x 2))) x)>
#<alt (/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)>
#<alt (/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (/ 1 (pow x 2)) 1) x))>
#<alt (* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))>
#<alt (* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))>
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (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)>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<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 x>
#<alt (* x (+ 1 (* -1 (pow x 2))))>
#<alt (* x (+ 1 (* -1 (pow x 2))))>
#<alt (* x (+ 1 (* -1 (pow x 2))))>
#<alt (* -1 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1))>
#<alt (* -1 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* x (+ 1 (* -1 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))>
#<alt (/ 1 x)>
#<alt (/ (- 1 (/ 1 (pow x 2))) x)>
#<alt (/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)>
#<alt (/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (/ 1 (pow x 2)) 1) x))>
#<alt (* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))>
#<alt (* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (pow x 2) 1)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1)))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (- 1 (/ 1 (pow x 2))) (pow x 2))>
#<alt (/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) (pow x 2))>
#<alt (/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (- 1 (/ 1 (pow x 2))) (pow x 2))>
#<alt (/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) (pow x 2))>
#<alt (/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) (pow x 2))>

Calls

24 calls:

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

rewrite647.0ms (6.6%)

Memory

12.2MiB live, 778.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 664×	`accelerator-lowering-fma.f32`
7 664×	`accelerator-lowering-fma.f64`
2 582×	`/-lowering-/.f32`
2 582×	`/-lowering-/.f64`
2 550×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	44
1	80	44
2	564	43
3	6870	43
0	8470	39

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 864

Calls

Call 1

Inputs
(/ x (+ (* x x) 1))
(+ (* x x) 1)
(/ 1 x)
(- 1 (+ (* x x) 0))
(+ (* x x) 0)
(* x (- 1 (+ (* x x) 0)))
(* (/ 1 (+ (* x x) 1)) x)
(/ 1 (+ (* x x) 1))

Outputs
(+.f64 (.f64 (/.f64 x (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) (.f64 (/.f64 x (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(+.f64 (.f64 (/.f64 x (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (.f64 (/.f64 x (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))))
(+.f64 (.f64 (/.f64 x (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64))) (fma.f64 x x #s(literal 0 binary64))) (.f64 (/.f64 x (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 x (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64))) #s(literal 0 binary64)) (/.f64 x (fma.f64 x x #s(literal 1 binary64))))
(+.f64 (.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 x (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)))) (.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 x (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)))))
(+.f64 (.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 x (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 x (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)))))
(+.f64 (.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 x (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 x (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)))))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 x (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)))) (/.f64 x (fma.f64 x x #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 x (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 x (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)))))
(fma.f64 #s(literal 0 binary64) (/.f64 x (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64))) (/.f64 x (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 x (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 x (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)))))
(fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 x (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 x (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)))))
(fma.f64 (/.f64 x (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (/.f64 x (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(fma.f64 (/.f64 x (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (/.f64 x (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))))
(fma.f64 (/.f64 x (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64))) (fma.f64 x x #s(literal 0 binary64)) (*.f64 (/.f64 x (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(fma.f64 (/.f64 x (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64))) #s(literal 0 binary64) (/.f64 x (fma.f64 x x #s(literal 1 binary64))))
(neg.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64))) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))
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simplify474.0ms (4.9%)

Memory

-27.3MiB live, 786.6MiB allocated

Algorithm

1×	egg-herbie

Rules

15 700×	`accelerator-lowering-fma.f32`
15 700×	`accelerator-lowering-fma.f64`
3 768×	`-lowering-.f32`
3 768×	`-lowering-.f64`
2 128×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	692
1	157	646
2	389	630
3	1261	618
4	4730	618
0	8308	582

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))
(/ 1 x)
(/ (- 1 (/ 1 (pow x 2))) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)
(/ 1 x)
(* -1 (/ (- (/ 1 (pow x 2)) 1) x))
(* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))
(* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))
1
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (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)
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* -1 (pow x 2)))
(+ 1 (* -1 (pow x 2)))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(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)
x
(* x (+ 1 (* -1 (pow x 2))))
(* x (+ 1 (* -1 (pow x 2))))
(* x (+ 1 (* -1 (pow x 2))))
(* -1 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1))
(* (pow x 3) (- (/ 1 (pow x 2)) 1))
(* (pow x 3) (- (/ 1 (pow x 2)) 1))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))
x
(* x (+ 1 (* -1 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))
(/ 1 x)
(/ (- 1 (/ 1 (pow x 2))) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)
(/ 1 x)
(* -1 (/ (- (/ 1 (pow x 2)) 1) x))
(* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))
(* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (pow x 2) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1)))
(/ 1 (pow x 2))
(/ (- 1 (/ 1 (pow x 2))) (pow x 2))
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) (pow x 2))
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) (pow x 2))
(/ 1 (pow x 2))
(/ (- 1 (/ 1 (pow x 2))) (pow x 2))
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) (pow x 2))
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) (pow x 2))

Outputs
x
(* x (+ 1 (* -1 (pow x 2))))
(-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal -1 binary64)) #s(literal 0 binary64)))
(* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal -1 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))
(.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) (.f64 x (fma.f64 x (fma.f64 x x #s(literal -1 binary64)) #s(literal 0 binary64)))) #s(literal 1 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (/ 1 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64)))) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64)))) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (/ 1 (pow x 2)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64)))) x)
(* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64)))) x)
(* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))) x)
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(/ 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)
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
x
(* x (+ 1 (* -1 (pow x 2))))
(-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal -1 binary64)) #s(literal 0 binary64)))
(* x (+ 1 (* -1 (pow x 2))))
(-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal -1 binary64)) #s(literal 0 binary64)))
(* x (+ 1 (* -1 (pow x 2))))
(-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal -1 binary64)) #s(literal 0 binary64)))
(* -1 (pow x 3))
(-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal -1 binary64)) #s(literal 0 binary64)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal -1 binary64)) #s(literal 0 binary64)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal -1 binary64)) #s(literal 0 binary64)))
(* -1 (pow x 3))
(-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))
(-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal -1 binary64)) #s(literal 0 binary64)))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))
(-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal -1 binary64)) #s(literal 0 binary64)))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))
(-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal -1 binary64)) #s(literal 0 binary64)))
x
(* x (+ 1 (* -1 (pow x 2))))
(-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal -1 binary64)) #s(literal 0 binary64)))
(* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal -1 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))
(.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) (.f64 x (fma.f64 x (fma.f64 x x #s(literal -1 binary64)) #s(literal 0 binary64)))) #s(literal 1 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (/ 1 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64)))) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64)))) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (/ 1 (pow x 2)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64)))) x)
(* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64)))) x)
(* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))
(+ 1 (* (pow x 2) (- (pow x 2) 1)))
(fma.f64 x (fma.f64 x (fma.f64 x x #s(literal -1 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1)))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x x #s(literal -1 binary64)) #s(literal 0 binary64)))) #s(literal 1 binary64))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))
(/ (- 1 (/ 1 (pow x 2))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))) (fma.f64 x x #s(literal 0 binary64)))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))
(/ (- 1 (/ 1 (pow x 2))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))) (fma.f64 x x #s(literal 0 binary64)))

eval185.0ms (1.9%)

Memory: 7.6MiB live, 305.7MiB allocated
Compiler: Compiled 33 110 to 2 448 computations (92.6% saved)

prune123.0ms (1.3%)

Memory

7.0MiB live, 400.8MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	1 157	2	1 159
Fresh	1	0	1
Picked	1	4	5
Done	0	0	0
Total	1 159	6	1 165

Accuracy

100.0%

Counts

1 165 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.7%	(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x) x)
✓	76.5%	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
✓	50.1%	(/.f64 #s(literal 1 binary64) x)
✓	76.5%	(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) x)
▶	51.7%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x)))
✓	52.6%	x

Compiler

Compiled 40 to 23 computations (42.5% saved)

simplify1.6s (15.9%)

Memory

96.6MiB live, 2 317.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) x)
✓	cost-diff	0	(fma.f64 x x #s(literal 0 binary64))
✓	cost-diff	0	(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x) x)
✓	cost-diff	-64	(*.f64 x x)
✓	cost-diff	-64	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x)))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 x x))

Rules

74 270×	`accelerator-lowering-fma.f32`
74 270×	`accelerator-lowering-fma.f64`
5 524×	`-lowering-.f32`
5 524×	`-lowering-.f64`
3 068×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	31
1	23	31
2	58	27
3	128	27
4	180	27
5	237	27
6	380	27
7	688	27
8	1136	27
9	2213	27
10	3253	27
11	4534	27
12	5502	27
13	5896	27
14	6105	27
15	6139	27
16	6179	27
17	6219	27
18	6326	27
19	6388	27
20	6455	27
21	6466	27
22	6505	27
23	6564	27
24	6604	27
25	7733	27
0	9006	27

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* x (- 1 (* x x)))
x
(- 1 (* x x))
1
(* x x)
(+ (* (+ (* x x) 0) (- 0 x)) x)
(+ (* x x) 0)
x
0
(- 0 x)

Outputs
(* x (- 1 (* x x)))
(fma.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))
x
(- 1 (* x x))
(-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))
1
#s(literal 1 binary64)
(* x x)
(fma.f64 x x #s(literal 0 binary64))
(+ (* (+ (* x x) 0) (- 0 x)) x)
(fma.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))
(+ (* x x) 0)
(fma.f64 x x #s(literal 0 binary64))
x
0
#s(literal 0 binary64)
(- 0 x)
(-.f64 #s(literal 0 binary64) x)

localize30.0ms (0.3%)

Memory

-7.1MiB live, 72.3MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x x #s(literal 0 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) x)
✓	accuracy	99.9%	(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x) x)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (*.f64 x x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x)))

Samples

19.0ms

256×

valid

Compiler

Compiled 37 to 12 computations (67.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 5.0ms (43.9% of total)

ival-sub: 4.0ms (35.2% of total)

ival-add: 2.0ms (17.6% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

6.3MiB live, 6.3MiB allocated

Counts

6 → 72

Calls

Call 1

Inputs
#<alt (- 1 (* x x))>
#<alt (* x (- 1 (* x x)))>
#<alt (* x x)>
#<alt (+ (* (+ (* x x) 0) (- 0 x)) x)>
#<alt (+ (* x x) 0)>
#<alt (- 0 x)>

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

18 calls:

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

rewrite466.0ms (4.8%)

Memory

24.3MiB live, 953.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 876×	`accelerator-lowering-fma.f32`
10 876×	`accelerator-lowering-fma.f64`
2 558×	`/-lowering-/.f32`
2 558×	`/-lowering-/.f64`
2 508×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	67	27
2	671	23
3	7610	23
0	8307	23

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 1 152

Calls

Call 1

Inputs
(- 1 (* x x))
(* x (- 1 (* x x)))
(* x x)
(+ (* (+ (* x x) 0) (- 0 x)) x)
(+ (* x x) 0)
(- 0 x)

Outputs
(+.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)))
(+.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(+.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))) (neg.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))
(-.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)))
(-.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 0 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))) (neg.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) x) x) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 x (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) x #s(literal 1 binary64))
(fma.f64 (fma.f64 x (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fma.f64 (fma.f64 x (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 x (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) x) #s(literal 1 binary64))
(fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) (/.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)))) #s(literal 0 binary64))
(fma.f64 (+.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 (/.f64 x (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 x x) (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 x (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) x) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64))
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(/.f64 (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))
(/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)))
(/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) x)
(/.f64 (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (/.f64 (fma.f64 x (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (/.f64 (fma.f64 x (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1 binary64)) x)
(/.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) x)) (fma.f64 x (fma.f64 x (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) x)) (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 x #s(literal -1 binary64))
(*.f64 x (/.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) x) x))
(.f64 x (.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))))
(.f64 x (.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x x))
(.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x (/.f64 #s(literal 1 binary64) x)))
(*.f64 (fma.f64 x (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))))
(*.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) (/.f64 x (fma.f64 x x #s(literal 0 binary64))))
(.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) (.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (fma.f64 x x #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (/.f64 x (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)))
(*.f64 (/.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))))
(*.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) x)
(*.f64 (/.f64 x x) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) x) x)
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))))
(*.f64 (/.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 x (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 x (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))) x)
(*.f64 (/.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 (fma.f64 x (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 x (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64))) x)
(*.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))

simplify343.0ms (3.5%)

Memory

-58.9MiB live, 512.4MiB allocated

Algorithm

1×	egg-herbie

Rules

7 348×	`accelerator-lowering-fma.f32`
7 348×	`accelerator-lowering-fma.f64`
4 180×	`-lowering-.f32`
4 180×	`-lowering-.f64`
1 466×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	321
1	48	276
2	113	258
3	363	258
4	1406	258
5	3762	258
6	5783	258
7	7964	258
0	8001	258

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

Inputs
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* -1 (pow x 2)))
(+ 1 (* -1 (pow x 2)))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
x
(* x (+ 1 (* -1 (pow x 2))))
(* x (+ 1 (* -1 (pow x 2))))
(* x (+ 1 (* -1 (pow x 2))))
(* -1 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1))
(* (pow x 3) (- (/ 1 (pow x 2)) 1))
(* (pow x 3) (- (/ 1 (pow x 2)) 1))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1 (/ 1 (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 x 2)
x
(* x (+ 1 (* -1 (pow x 2))))
(* x (+ 1 (* -1 (pow x 2))))
(* x (+ 1 (* -1 (pow x 2))))
(* -1 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1))
(* (pow x 3) (- (/ 1 (pow x 2)) 1))
(* (pow x 3) (- (/ 1 (pow x 2)) 1))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1 (/ 1 (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 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
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))
x
(* x (+ 1 (* -1 (pow x 2))))
(-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal -1 binary64)) #s(literal 0 binary64)))
(* x (+ 1 (* -1 (pow x 2))))
(-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal -1 binary64)) #s(literal 0 binary64)))
(* x (+ 1 (* -1 (pow x 2))))
(-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal -1 binary64)) #s(literal 0 binary64)))
(* -1 (pow x 3))
(-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal -1 binary64)) #s(literal 0 binary64)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal -1 binary64)) #s(literal 0 binary64)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal -1 binary64)) #s(literal 0 binary64)))
(* -1 (pow x 3))
(-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))
(-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal -1 binary64)) #s(literal 0 binary64)))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))
(-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal -1 binary64)) #s(literal 0 binary64)))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))
(-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal -1 binary64)) #s(literal 0 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
x
(* x (+ 1 (* -1 (pow x 2))))
(-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal -1 binary64)) #s(literal 0 binary64)))
(* x (+ 1 (* -1 (pow x 2))))
(-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal -1 binary64)) #s(literal 0 binary64)))
(* x (+ 1 (* -1 (pow x 2))))
(-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal -1 binary64)) #s(literal 0 binary64)))
(* -1 (pow x 3))
(-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal -1 binary64)) #s(literal 0 binary64)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal -1 binary64)) #s(literal 0 binary64)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal -1 binary64)) #s(literal 0 binary64)))
(* -1 (pow x 3))
(-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))
(-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal -1 binary64)) #s(literal 0 binary64)))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))
(-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal -1 binary64)) #s(literal 0 binary64)))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))
(-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal -1 binary64)) #s(literal 0 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)

eval207.0ms (2.1%)

Memory: 24.7MiB live, 285.5MiB allocated
Compiler: Compiled 40 749 to 1 798 computations (95.6% saved)

prune109.0ms (1.1%)

Memory

-26.5MiB live, 298.3MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	1 223	1	1 224
Fresh	0	0	0
Picked	1	1	2
Done	0	4	4
Total	1 224	6	1 230

Accuracy

100.0%

Counts

1 230 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.7%	(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (neg.f64 x) x)
✓	76.5%	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
✓	50.1%	(/.f64 #s(literal 1 binary64) x)
✓	76.5%	(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) x)
✓	51.7%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x)))
✓	52.6%	x

Compiler

Compiled 39 to 23 computations (41% saved)

simplify576.0ms (5.9%)

Memory

37.3MiB live, 812.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(neg.f64 x)
✓	cost-diff	0	(fma.f64 x x #s(literal 0 binary64))
✓	cost-diff	0	(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (neg.f64 x) x)

Rules

21 568×	`accelerator-lowering-fma.f32`
21 568×	`accelerator-lowering-fma.f64`
5 252×	`+-lowering-+.f64`
5 252×	`+-lowering-+.f32`
4 396×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	16	14
2	39	12
3	89	12
4	115	12
5	161	12
6	218	12
7	411	12
8	798	12
9	1306	12
10	2500	12
11	3040	12
12	3172	12
13	3241	12
14	3261	12
15	3265	12
0	8033	12

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* (+ (* x x) 0) (neg x)) x)
(+ (* x x) 0)
x
0
(neg x)

Outputs
(+ (* (+ (* x x) 0) (neg x)) x)
(fma.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 0 binary64))
(+ (* x x) 0)
(fma.f64 x x #s(literal 0 binary64))
x
0
#s(literal 0 binary64)
(neg x)
(-.f64 #s(literal 0 binary64) x)

localize22.0ms (0.2%)

Memory

14.4MiB live, 50.7MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x x #s(literal 0 binary64))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	99.9%	(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (neg.f64 x) x)

Samples

15.0ms

256×

valid

Compiler

Compiled 18 to 9 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 3.0ms (41.9% of total)

ival-add: 2.0ms (27.9% of total)

ival-neg: 1.0ms (14% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Counts

3 → 36

Calls

Call 1

Inputs
#<alt (+ (* (+ (* x x) 0) (neg x)) x)>
#<alt (+ (* x x) 0)>
#<alt (neg x)>

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

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(+ (* x x) 0)
0.0ms	x	@	0	(+ (* (+ (* x x) 0) (neg x)) x)
0.0ms	x	@	inf	(+ (* (+ (* x x) 0) (neg x)) x)
0.0ms	x	@	-inf	(+ (* (+ (* x x) 0) (neg x)) x)
0.0ms	x	@	inf	(neg x)

rewrite245.0ms (2.5%)

Memory

-5.0MiB live, 303.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 260×	`accelerator-lowering-fma.f32`
3 260×	`accelerator-lowering-fma.f64`
1 384×	`-lowering-.f32`
1 384×	`-lowering-.f64`
1 190×	`frac-times`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	42	10
2	412	10
3	5820	9
0	8985	9

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 223

Calls

Call 1

Inputs
(+ (* (+ (* x x) 0) (neg x)) x)
(+ (* x x) 0)
(neg x)

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

simplify361.0ms (3.7%)

Memory

32.6MiB live, 492.8MiB allocated

Algorithm

1×	egg-herbie

Rules

7 312×	`accelerator-lowering-fma.f32`
7 312×	`accelerator-lowering-fma.f64`
3 956×	`-lowering-.f32`
3 956×	`-lowering-.f64`
1 422×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	141
1	46	123
2	107	114
3	361	114
4	985	114
5	2481	114
6	3553	114
7	4696	114
8	6284	114
0	8158	114

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1 (pow x 2))))
(* x (+ 1 (* -1 (pow x 2))))
(* x (+ 1 (* -1 (pow x 2))))
(* -1 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1))
(* (pow x 3) (- (/ 1 (pow x 2)) 1))
(* (pow x 3) (- (/ 1 (pow x 2)) 1))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1 (/ 1 (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 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
x
(* x (+ 1 (* -1 (pow x 2))))
(fma.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))
(* x (+ 1 (* -1 (pow x 2))))
(fma.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))
(* x (+ 1 (* -1 (pow x 2))))
(fma.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (pow x 3))
(-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1))
(fma.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))
(* (pow x 3) (- (/ 1 (pow x 2)) 1))
(fma.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))
(* (pow x 3) (- (/ 1 (pow x 2)) 1))
(fma.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (pow x 3))
(-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))
(fma.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))
(fma.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))
(fma.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)

eval276.0ms (2.8%)

Memory: -61.2MiB live, 79.7MiB allocated
Compiler: Compiled 7 431 to 466 computations (93.7% saved)

prune28.0ms (0.3%)

Memory

11.5MiB live, 89.9MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	258	1	259
Fresh	0	0	0
Picked	1	0	1
Done	1	4	5
Total	260	5	265

Accuracy

100.0%

Counts

265 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.7%	(fma.f64 (*.f64 x x) (neg.f64 x) x)
✓	76.5%	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
✓	50.1%	(/.f64 #s(literal 1 binary64) x)
✓	76.5%	(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) x)
✓	52.6%	x

Compiler

Compiled 105 to 39 computations (62.9% saved)

regimes8.0ms (0.1%)

Memory

-16.8MiB live, 22.8MiB allocated

Counts

11 → 2

Calls

Call 1

Inputs
x
(/.f64 #s(literal 1 binary64) x)
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x)))
(fma.f64 (*.f64 x x) (neg.f64 x) x)
(*.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (neg.f64 x) x)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x) x)
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) x)
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))

Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) x)
(/.f64 #s(literal 1 binary64) x)

Calls

2 calls:

4.0ms	(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
4.0ms	x

Results

Accuracy	Segments	Branch
100.0%	2	`x`
99.8%	2	`(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes4.0ms (0%)

Memory

11.0MiB live, 11.0MiB allocated

Counts

9 → 2

Calls

Call 1

Inputs
x
(/.f64 #s(literal 1 binary64) x)
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x)))
(fma.f64 (*.f64 x x) (neg.f64 x) x)
(*.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (neg.f64 x) x)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x) x)
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))

Outputs
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) x)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
100.0%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes21.0ms (0.2%)

Memory

-27.7MiB live, 17.6MiB allocated

Counts

7 → 2

Calls

Call 1

Inputs
x
(/.f64 #s(literal 1 binary64) x)
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x)))
(fma.f64 (*.f64 x x) (neg.f64 x) x)
(*.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (neg.f64 x) x)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x) x)

Outputs
(fma.f64 (*.f64 x x) (neg.f64 x) x)
(/.f64 #s(literal 1 binary64) x)

Calls

2 calls:

18.0ms	(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
3.0ms	x

Results

Accuracy	Segments	Branch
81.3%	3	`(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
99.3%	2	`x`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes2.0ms (0%)

Memory

6.6MiB live, 6.6MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs
x
(/.f64 #s(literal 1 binary64) x)
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x)))

Outputs
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x)))
(/.f64 #s(literal 1 binary64) x)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.3%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

5.8MiB live, 5.8MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
x
(/.f64 #s(literal 1 binary64) x)

Outputs
x
(/.f64 #s(literal 1 binary64) x)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
98.9%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory

9.0MiB live, 9.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

1.0ms	x
1.0ms	(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
52.6%	1	`(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
52.6%	1	`x`

Compiler

Compiled 10 to 6 computations (40% saved)

bsearch2.0ms (0%)

Memory

4.3MiB live, 4.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
1.0ms	85453251.88055244	22244405399.320335

Samples

1.0ms

16×

valid

Compiler

Compiled 26 to 19 computations (26.9% saved)

Precisions

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

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

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

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

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
1.0ms	60573136.69548244	85453251.88055244

Samples

1.0ms

16×

valid

Compiler

Compiled 24 to 18 computations (25% saved)

Precisions

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

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

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

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

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

exact: 0.0ms (0% of total)

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

bsearch10.0ms (0.1%)

Memory

-13.8MiB live, 26.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.12319836874989089	1147.1403049927803

Samples

6.0ms

128×

valid

Compiler

Compiled 123 to 81 computations (34.1% saved)

Precisions

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

ival-mult: 2.0ms (62.8% of total)

ival-div: 1.0ms (31.4% of total)

ival-add: 1.0ms (31.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch11.0ms (0.1%)

Memory

-5.3MiB live, 34.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.12319836874989089	1147.1403049927803

Samples

6.0ms

128×

valid

Compiler

Compiled 123 to 89 computations (27.6% saved)

Precisions

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

ival-mult: 2.0ms (58.9% of total)

ival-div: 1.0ms (29.4% of total)

ival-add: 1.0ms (29.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch11.0ms (0.1%)

Memory

-8.4MiB live, 30.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.12319836874989089	1147.1403049927803

Samples

6.0ms

128×

valid

Compiler

Compiled 75 to 57 computations (24% saved)

Precisions

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

ival-div: 1.0ms (39% of total)

ival-add: 1.0ms (39% of total)

ival-mult: 1.0ms (39% of total)

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

exact: 0.0ms (0% of total)

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

simplify8.0ms (0.1%)

Memory

24.5MiB live, 24.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
6×	`+-commutative_binary64`
6×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	65
1	36	65
2	42	65
3	45	65
4	46	65

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 100000000 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) x) (/.f64 #s(literal 1 binary64) x))
(if (<=.f64 x #s(literal 80000000 binary64)) (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(if (<=.f64 x #s(literal 7656119366529843/9007199254740992 binary64)) (fma.f64 (*.f64 x x) (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x))
(if (<=.f64 x #s(literal 7656119366529843/9007199254740992 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) x))
(if (<=.f64 x #s(literal 1 binary64)) x (/.f64 #s(literal 1 binary64) x))
x

Outputs
(if (<=.f64 x #s(literal 100000000 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) x) (/.f64 #s(literal 1 binary64) x))
(if (<=.f64 x #s(literal 100000000 binary64)) (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) x))
(if (<=.f64 x #s(literal 80000000 binary64)) (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(if (<=.f64 x #s(literal 7656119366529843/9007199254740992 binary64)) (fma.f64 (*.f64 x x) (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x))
(if (<=.f64 x #s(literal 7656119366529843/9007199254740992 binary64)) (fma.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) x) x) (/.f64 #s(literal 1 binary64) x))
(if (<=.f64 x #s(literal 7656119366529843/9007199254740992 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) x))
(if (<=.f64 x #s(literal 1 binary64)) x (/.f64 #s(literal 1 binary64) x))
x

soundness1.0s (10.4%)

Memory

-0.7MiB live, 790.1MiB allocated

Rules

12 662×	`accelerator-lowering-fma.f32`
12 662×	`accelerator-lowering-fma.f64`
10 876×	`accelerator-lowering-fma.f32`
10 876×	`accelerator-lowering-fma.f64`
7 664×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	45	226
1	131	224
2	312	216
3	888	212
4	2381	210
5	5550	210
6	7627	210
0	8047	197
0	7	13
1	42	10
2	412	10
3	5820	9
0	8985	9
0	5	15
1	30	15
2	199	15
3	1759	15
0	8554	13
0	10	27
1	67	27
2	671	23
3	7610	23
0	8307	23
0	12	44
1	80	44
2	564	43
3	6870	43
0	8470	39

Stop Event

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

Compiler

Compiled 160 to 82 computations (48.8% saved)

preprocess197.0ms (2%)

Memory: -13.5MiB live, 185.4MiB allocated
Compiler: Compiled 198 to 88 computations (55.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	10	22
1	28	22
2	64	21
3	130	21
4	234	21
5	332	21
6	345	21
7	347	21
8	351	21
0	5	7
1	8	7
0	8	6

Iter	Nodes	Cost
0	10	22
1	28	22
2	64	21
3	130	21
4	234	21
5	332	21
6	345	21
7	347	21
8	351	21
0	5	7
1	8	7
0	8	6

analyze0.0ms (0%)

sample568.0ms (5.8%)

preprocess20.0ms (0.2%)

explain69.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize21.0ms (0.2%)

series2.0ms (0%)

rewrite763.0ms (7.8%)

simplify709.0ms (7.3%)

eval40.0ms (0.4%)

prune75.0ms (0.8%)

simplify506.0ms (5.2%)

localize50.0ms (0.5%)

series3.0ms (0%)

rewrite647.0ms (6.6%)

simplify474.0ms (4.9%)

eval185.0ms (1.9%)

prune123.0ms (1.3%)

simplify1.6s (15.9%)

localize30.0ms (0.3%)

series2.0ms (0%)

rewrite466.0ms (4.8%)

simplify343.0ms (3.5%)

eval207.0ms (2.1%)

prune109.0ms (1.1%)

simplify576.0ms (5.9%)

localize22.0ms (0.2%)

series1.0ms (0%)

rewrite245.0ms (2.5%)

simplify361.0ms (3.7%)

eval276.0ms (2.8%)

prune28.0ms (0.3%)

regimes8.0ms (0.1%)

regimes4.0ms (0%)

regimes21.0ms (0.2%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes3.0ms (0%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch10.0ms (0.1%)

bsearch11.0ms (0.1%)

bsearch11.0ms (0.1%)

simplify8.0ms (0.1%)

soundness1.0s (10.4%)

preprocess197.0ms (2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	10	22
1	28	22
2	64	21
3	130	21
4	234	21
5	332	21
6	345	21
7	347	21
8	351	21
0	5	7
1	8	7
0	8	6