Metrics for Asymptote B

analyze2.0ms (0.1%)

Memory

5.7MiB live, 5.7MiB 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
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
75%	75%	25%	0%	0%	0%	0%	4
87.5%	87.5%	12.5%	0%	0%	0%	0%	5
93.8%	93.7%	6.2%	0%	0%	0%	0%	6
96.9%	96.8%	3.1%	0%	0%	0%	0%	7
98.4%	98.4%	1.6%	0%	0%	0%	0%	8
99.2%	99.2%	0.8%	0%	0%	0%	0%	9
99.6%	99.6%	0.4%	0%	0%	0%	0%	10
99.8%	99.8%	0.2%	0%	0%	0%	0%	11
99.9%	99.9%	0.1%	0%	0%	0%	0%	12

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample761.0ms (19.1%)

Memory

-129.9MiB live, 943.0MiB allocated

Samples

559.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 261.0ms

ival-div: 119.0ms (45.7% of total)

ival-add: 74.0ms (28.4% of total)

ival-sub: 54.0ms (20.7% of total)

ival-true: 6.0ms (2.3% of total)

exact: 5.0ms (1.9% of total)

ival-assert: 3.0ms (1.2% of total)

Bogosity

preprocess23.0ms (0.6%)

Memory

3.5MiB live, 40.8MiB allocated

Algorithm

2×	egg-herbie

Rules

100×	`times-frac`
78×	`sub-neg`
58×	`unsub-neg`
56×	`associate-l`
54×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	40
1	33	35
2	70	33
3	144	33
4	277	33
5	555	33
6	632	33
7	657	33
0	7	11
1	14	11
2	15	11
0	15	11

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

explain88.0ms (2.2%)

Memory

-3.6MiB live, 158.2MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))`
-	-	`(+.f64 x #s(literal 1 binary64))`
-	-	`(-.f64 x #s(literal 1 binary64))`
-	-	`#s(literal 1 binary64)`
-	-	`(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))`
-	-	`(/.f64 x (+.f64 x #s(literal 1 binary64)))`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

36.0ms

512×

valid

Compiler

Compiled 86 to 32 computations (62.8% saved)

Precisions

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

ival-div: 10.0ms (49.8% of total)

ival-add: 5.0ms (24.9% of total)

ival-sub: 4.0ms (19.9% 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: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 12 to 8 computations (33.3% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))

Compiler

Compiled 12 to 7 computations (41.7% saved)

simplify4.0ms (0.1%)

Memory

4.2MiB live, 4.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

12×	`+-lowering-+.f64`
12×	`+-lowering-+.f32`
6×	`+-commutative`
4×	`/-lowering-/.f32`
4×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	29
1	14	29
2	15	29
0	15	29

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize24.0ms (0.6%)

Memory

-9.7MiB live, 29.2MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

14.0ms

256×

valid

Compiler

Compiled 31 to 9 computations (71% saved)

Precisions

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

ival-div: 4.0ms (51.7% of total)

ival-sub: 2.0ms (25.9% of total)

ival-add: 2.0ms (25.9% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

3.3MiB live, 3.3MiB allocated

Counts

5 → 60

Calls

Call 1

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

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

Calls

15 calls:

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

rewrite407.0ms (10.2%)

Memory

13.1MiB live, 572.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 718×	`accelerator-lowering-fma.f32`
9 718×	`accelerator-lowering-fma.f64`
4 480×	`-lowering-.f32`
4 480×	`-lowering-.f64`
3 656×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	27
1	61	27
2	696	27
0	9592	27

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 561

Calls

Call 1

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

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

simplify328.0ms (8.2%)

Memory

-33.4MiB live, 579.3MiB allocated

Algorithm

1×	egg-herbie

Rules

11 362×	`accelerator-lowering-fma.f32`
11 362×	`accelerator-lowering-fma.f64`
2 676×	`-lowering-.f32`
2 676×	`-lowering-.f64`
2 128×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	387
1	211	385
2	469	374
3	1227	354
4	3243	348
5	6363	346
6	7706	346
0	8031	338

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

eval77.0ms (1.9%)

Memory: 14.8MiB live, 125.8MiB allocated
Compiler: Compiled 16 216 to 1 722 computations (89.4% saved)

prune83.0ms (2.1%)

Memory

8.4MiB live, 129.9MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	617	4	621
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	617	5	622

Accuracy

100.0%

Counts

622 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
▶	54.6%	(+.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) (.f64 x (.f64 x (+.f64 (.f64 x x) #s(literal 1 binary64))))))
▶	54.5%	(+.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))
▶	46.6%	#s(literal 1 binary64)
▶	54.6%	#s(literal -1 binary64)

Compiler

Compiled 38 to 27 computations (28.9% saved)

simplify15.0ms (0.4%)

Memory

-4.2MiB live, 31.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Program
✓	cost-diff	(.f64 x (+.f64 (.f64 x x) #s(literal 1 binary64)))
✓	cost-diff	(.f64 x (.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64))))
✓	cost-diff	(.f64 #s(literal -2 binary64) (.f64 x (.f64 x (+.f64 (.f64 x x) #s(literal 1 binary64)))))
✓	cost-diff	(+.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) (.f64 x (.f64 x (+.f64 (.f64 x x) #s(literal 1 binary64))))))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(.f64 #s(literal -2 binary64) (.f64 x x))
✓	cost-diff	(+.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))

Rules

190×	`accelerator-lowering-fma.f32`
190×	`accelerator-lowering-fma.f64`
156×	`-lowering-.f32`
156×	`-lowering-.f64`
86×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	72
1	31	64
2	81	64
3	178	64
4	243	64
5	243	64
0	243	58

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
-1
1
(+ -1 (* -2 (* x x)))
-1
(* -2 (* x x))
-2
(* x x)
x
(+ -1 (* -2 (* x (* x (+ (* x x) 1)))))
-1
(* -2 (* x (* x (+ (* x x) 1))))
-2
(* x (* x (+ (* x x) 1)))
x
(* x (+ (* x x) 1))
(+ (* x x) 1)
(* x x)
1

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

localize41.0ms (1%)

Memory

10.5MiB live, 62.6MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 #s(literal -2 binary64) (.f64 x (.f64 x (+.f64 (.f64 x x) #s(literal 1 binary64)))))
✓	accuracy	100.0%	(+.f64 (*.f64 x x) #s(literal 1 binary64))
✓	accuracy	99.9%	(.f64 x (+.f64 (.f64 x x) #s(literal 1 binary64)))
✓	accuracy	99.9%	(.f64 x (.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 #s(literal -2 binary64) (.f64 x x))
✓	accuracy	100.0%	(+.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))

Samples

24.0ms

256×

valid

Compiler

Compiled 74 to 14 computations (81.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 8.0ms (69.4% of total)

ival-add: 3.0ms (26% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

6.7MiB live, 6.7MiB allocated

Counts

8 → 96

Calls

Call 1

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

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

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(* -2 (* x (* x (+ (* x x) 1))))
0.0ms	x	@	inf	(+ -1 (* -2 (* x x)))
0.0ms	x	@	inf	(+ -1 (* -2 (* x (* x (+ (* x x) 1)))))
0.0ms	x	@	inf	(* -2 (* x x))
0.0ms	x	@	0	(+ -1 (* -2 (* x x)))

rewrite583.0ms (14.6%)

Memory

-5.5MiB live, 704.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 412×	`accelerator-lowering-fma.f32`
9 412×	`accelerator-lowering-fma.f64`
5 472×	`-lowering-.f32`
5 472×	`-lowering-.f64`
1 888×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	60
1	68	52
2	503	52
3	5041	52
0	9061	46

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 548

Calls

Call 1

Inputs
(+ -1 (* -2 (* x x)))
(* -2 (* x x))
(* x x)
(+ -1 (* -2 (* x (* x (+ (* x x) 1)))))
(* -2 (* x (* x (+ (* x x) 1))))
(* x (* x (+ (* x x) 1)))
(* x (+ (* x x) 1))
(+ (* x x) 1)

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

simplify414.0ms (10.4%)

Memory

7.8MiB live, 685.6MiB allocated

Algorithm

1×	egg-herbie

Rules

16 778×	`accelerator-lowering-fma.f32`
16 778×	`accelerator-lowering-fma.f64`
5 210×	`-lowering-.f32`
5 210×	`-lowering-.f64`
1 428×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	625
1	111	589
2	289	544
3	1238	544
4	4227	544
5	7811	544
0	8155	493

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

eval87.0ms (2.2%)

Memory: -20.0MiB live, 176.9MiB allocated
Compiler: Compiled 18 449 to 1 758 computations (90.5% saved)

prune80.0ms (2%)

Memory

22.9MiB live, 138.2MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	664	0	664
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	664	5	669

Accuracy

100.0%

Counts

669 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
✓	54.6%	(+.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) (.f64 x (.f64 x (+.f64 (.f64 x x) #s(literal 1 binary64))))))
✓	54.5%	(+.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))
✓	46.6%	#s(literal 1 binary64)
✓	54.6%	#s(literal -1 binary64)

Compiler

Compiled 72 to 44 computations (38.9% saved)

regimes5.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
2.0ms	(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))

Results

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

Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes2.0ms (0.1%)

Memory

4.0MiB live, 4.0MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))

Outputs
#s(literal 1 binary64)
(+.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))
#s(literal 1 binary64)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.8%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)
#s(literal -1 binary64)
#s(literal 1 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
99.6%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

Memory

-40.2MiB live, 2.9MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)

Outputs
#s(literal -1 binary64)

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
54.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch32.0ms (0.8%)

Memory

24.2MiB live, 60.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.00338434561845084	316449297.5849334
14.0ms	-10241993839549295000.0	-7.574845729028902e-11

Samples

18.0ms

336×

valid

Compiler

Compiled 267 to 221 computations (17.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-div: 5.0ms (41.6% of total)

ival-add: 5.0ms (41.6% of total)

ival-sub: 2.0ms (16.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch35.0ms (0.9%)

Memory

-8.2MiB live, 67.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.00338434561845084	316449297.5849334
17.0ms	-10241993839549295000.0	-7.574845729028902e-11

Samples

21.0ms

336×

valid

Compiler

Compiled 141 to 137 computations (2.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-div: 8.0ms (63.7% of total)

ival-add: 3.0ms (23.9% of total)

ival-sub: 2.0ms (15.9% of total)

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

exact: 0.0ms (0% of total)

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

simplify8.0ms (0.2%)

Memory

15.3MiB live, 15.3MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative_binary64`
4×	`*-commutative_binary64`
4×	`sub-neg_binary64`
4×	`if-if-or-not_binary32`
2×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	40
1	31	40
2	34	40
3	39	40

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -1 binary64)) #s(literal 1 binary64) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x))) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -1 binary64)) #s(literal 1 binary64) (if (<=.f64 x #s(literal 1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(literal -1 binary64)

Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal -1 binary64)) #s(literal 1 binary64) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x))) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -1 binary64)) #s(literal 1 binary64) (if (<=.f64 x #s(literal 1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(literal -1 binary64)

soundness783.0ms (19.6%)

Memory

-42.6MiB live, 701.2MiB allocated

Rules

11 362×	`accelerator-lowering-fma.f32`
11 362×	`accelerator-lowering-fma.f64`
2 676×	`-lowering-.f32`
2 676×	`-lowering-.f64`
2 128×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	387
1	211	385
2	469	374
3	1227	354
4	3243	348
5	6363	346
6	7706	346
0	8031	338

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 57 to 32 computations (43.9% saved)

preprocess98.0ms (2.5%)

Memory: 12.3MiB live, 50.5MiB allocated
Compiler: Compiled 106 to 50 computations (52.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	14	40
1	33	35
2	70	33
3	144	33
4	277	33
5	555	33
6	632	33
7	657	33
0	7	11
1	14	11
2	15	11
0	15	11

Iter	Nodes	Cost
0	14	40
1	33	35
2	70	33
3	144	33
4	277	33
5	555	33
6	632	33
7	657	33
0	7	11
1	14	11
2	15	11
0	15	11

analyze2.0ms (0.1%)

sample761.0ms (19.1%)

preprocess23.0ms (0.6%)

explain88.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize24.0ms (0.6%)

series3.0ms (0.1%)

rewrite407.0ms (10.2%)

simplify328.0ms (8.2%)

eval77.0ms (1.9%)

prune83.0ms (2.1%)

simplify15.0ms (0.4%)

localize41.0ms (1%)

series4.0ms (0.1%)

rewrite583.0ms (14.6%)

simplify414.0ms (10.4%)

eval87.0ms (2.2%)

prune80.0ms (2%)

regimes5.0ms (0.1%)

regimes2.0ms (0.1%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

bsearch32.0ms (0.8%)

bsearch35.0ms (0.9%)

simplify8.0ms (0.2%)

soundness783.0ms (19.6%)

preprocess98.0ms (2.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	14	40
1	33	35
2	70	33
3	144	33
4	277	33
5	555	33
6	632	33
7	657	33
0	7	11
1	14	11
2	15	11
0	15	11