Metrics for sqrt A (should all be same)

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 10 to 4 computations (60% saved)

sample742.0ms (11.4%)

Memory

9.1MiB live, 818.8MiB allocated

Samples

611.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 218.0ms

ival-hypot: 209.0ms (95.8% of total)

ival-true: 6.0ms (2.8% of total)

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

Bogosity

preprocess203.0ms (3.1%)

Memory

-18.0MiB live, 20.6MiB allocated

Algorithm

2×	egg-herbie

Rules

40×	`associate-r`
34×	`sub-neg`
28×	`distribute-lft-neg-in`
24×	`neg-sub0`
22×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	25	19
2	68	19
3	166	19
4	243	19
5	254	19
6	256	19
0	4	6
1	8	6
2	11	6
3	14	6
0	14	3

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(sqrt (+ (* x x) (* x x)))

Outputs
(sqrt (+ (* x x) (* x x)))
(sqrt.f64 (*.f64 x (+.f64 x x)))

Call 2

Inputs
(sqrt (+ (* x x) (* x x)))
(sqrt (+ (* (neg x) (neg x)) (* (neg x) (neg x))))
(neg (sqrt (+ (* (neg x) (neg x)) (* (neg x) (neg x)))))

Outputs
(sqrt (+ (* x x) (* x x)))
(sqrt (* x (+ x x)))
(sqrt (+ (* (neg x) (neg x)) (* (neg x) (neg x))))
(sqrt (* x (+ x x)))
(neg (sqrt (+ (* (neg x) (neg x)) (* (neg x) (neg x)))))
(neg (sqrt (* x (+ x x))))

Symmetry

(abs x)

explain70.0ms (1.1%)

Memory

16.8MiB live, 136.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
132	-	1	(1.489304771835313e-161)	`(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))`
0	-	0	-	`(+.f64 (.f64 x x) (.f64 x x))`
0	-	0	-	`(*.f64 x x)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))`	oflow-rescue	70	0
↳	`(+.f64 (.f64 x x) (.f64 x x))`	overflow	70
↳	`(*.f64 x x)`	overflow	140
`sqrt.f64`	`(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))`	uflow-rescue	61	0
↳	`(+.f64 (.f64 x x) (.f64 x x))`	underflow	61
↳	`(*.f64 x x)`	underflow	122

Confusion

	Predicted +	Predicted -
+	131	1
-	0	124

Precision

1.0

Recall

0.9924242424242424

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	131	0	1
-	0	0	124

Precision?

1.0

Recall?

0.9924242424242424

Freqs

test

number	freq
0	125
1	131

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

28.0ms

512×

valid

Compiler

Compiled 60 to 20 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-hypot: 10.0ms (57.7% of total)

ival-mult: 4.0ms (23.1% of total)

ival-add: 3.0ms (17.3% of total)

ival-true: 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

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.9%	(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))

Compiler

Compiled 9 to 4 computations (55.6% saved)

simplify3.0ms (0.1%)

Memory

6.0MiB live, 6.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))
✓	cost-diff	320	(+.f64 (.f64 x x) (.f64 x x))

Rules

14×	`-lowering-.f32`
14×	`-lowering-.f64`
4×	`*-commutative`
4×	`+-lowering-+.f64`
4×	`count-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	15
1	8	15
2	11	15
3	14	15
0	14	12

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(sqrt (+ (* x x) (* x x)))
(+ (* x x) (* x x))
(* x x)
x

Outputs
(sqrt (+ (* x x) (* x x)))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(+ (* x x) (* x x))
(*.f64 x (+.f64 x x))
(* x x)
(*.f64 x x)
x

localize20.0ms (0.3%)

Memory

-30.7MiB live, 47.2MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (.f64 x x) (.f64 x x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	51.9%	(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))

Samples

13.0ms

256×

valid

Compiler

Compiled 21 to 6 computations (71.4% saved)

Precisions

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

ival-hypot: 4.0ms (56% of total)

ival-mult: 2.0ms (28% of total)

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

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

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

series3.0ms (0%)

Memory

6.9MiB live, 6.9MiB allocated

Counts

3 → 36

Calls

Call 1

Inputs
#<alt (+ (* x x) (* x x))>
#<alt (sqrt (+ (* x x) (* x x)))>
#<alt (* x x)>

Outputs
#<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 (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 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)>

Calls

9 calls:

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

rewrite34.0ms (0.5%)

Memory

24.4MiB live, 62.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

66×	`-lowering-.f32`
66×	`-lowering-.f64`
42×	`accelerator-lowering-fma.f32`
42×	`accelerator-lowering-fma.f64`
34×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	14
1	20	10
0	157	9

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound

Counts

3 → 33

Calls

Call 1

Inputs
(+ (* x x) (* x x))
(sqrt (+ (* x x) (* x x)))
(* x x)

Outputs
(+.f64 (.f64 x x) (.f64 x x))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 0 binary64)) (/.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 0 binary64)))
(fma.f64 x x (*.f64 x x))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x))) (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x)))) (neg.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x)))))
(*.f64 x (+.f64 x x))
(.f64 (.f64 x x) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 x x))
(.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal 0 binary64))))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 (+.f64 x x) x)
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 x x))) #s(literal 1/2 binary64)))
(hypot.f64 x x)
(hypot.f64 x (pow.f64 x #s(literal 1 binary64)))
(hypot.f64 (pow.f64 x #s(literal 1 binary64)) x)
(hypot.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(/.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x)))) (sqrt.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64))))
(/.f64 (sqrt.f64 #s(literal 0 binary64)) (sqrt.f64 #s(literal 0 binary64)))
(pow.f64 (*.f64 x (+.f64 x x)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 (+.f64 x x) #s(literal 1/2 binary64)))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (pow.f64 (.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (.f64 x x)))
(.f64 (pow.f64 (.f64 x (+.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x (+.f64 x x)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))

simplify13.0ms (0.2%)

Memory

-16.9MiB live, 23.0MiB allocated

Algorithm

1×	egg-herbie

Rules

38×	`-lowering-.f32`
38×	`-lowering-.f64`
38×	`accelerator-lowering-fma.f32`
38×	`accelerator-lowering-fma.f64`
36×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	148
1	15	148
2	32	148
3	37	148
4	41	148
5	53	148
6	65	148
7	76	148
8	96	148
9	101	148
0	101	148

Stop Event

1×	iter limit
1×	saturated

Counts

36 → 36

Calls

Call 1

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

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

eval9.0ms (0.1%)

Memory: -9.2MiB live, 29.0MiB allocated
Compiler: Compiled 766 to 101 computations (86.8% saved)

prune6.0ms (0.1%)

Memory

18.0MiB live, 18.0MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	81	4	85
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	82	4	86

Accuracy

100.0%

Counts

86 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
▶	100.0%	(hypot.f64 x x)
▶	99.5%	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
▶	51.9%	(sqrt.f64 (*.f64 (+.f64 x x) x))

Compiler

Compiled 25 to 16 computations (36% saved)

simplify4.0ms (0.1%)

Memory

9.2MiB live, 9.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
✓	cost-diff	5312	(hypot.f64 x x)
✓	cost-diff	0	(+.f64 x x)
✓	cost-diff	0	(sqrt.f64 (+.f64 x x))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
✓	cost-diff	0	(+.f64 x x)
✓	cost-diff	0	(*.f64 (+.f64 x x) x)
✓	cost-diff	0	(sqrt.f64 (*.f64 (+.f64 x x) x))

Rules

22×	`-lowering-.f32`
22×	`-lowering-.f64`
10×	`*-commutative`
8×	`sqrt-lowering-sqrt.f64`
8×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	48
1	21	48
2	25	48
0	25	42

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(sqrt (* (+ x x) x))
(* (+ x x) x)
(+ x x)
x
(* (sqrt x) (sqrt (+ x x)))
(sqrt x)
x
(sqrt (+ x x))
(+ x x)
(sqrt (+ (* x x) (* x x)))
x
(+ (* x (sqrt 2)) 0)
x
(sqrt 2)
2
0

Outputs
(sqrt (* (+ x x) x))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(* (+ x x) x)
(*.f64 x (+.f64 x x))
(+ x x)
(+.f64 x x)
x
(* (sqrt x) (sqrt (+ x x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
(sqrt x)
(sqrt.f64 x)
x
(sqrt (+ x x))
(sqrt.f64 (+.f64 x x))
(+ x x)
(+.f64 x x)
(sqrt (+ (* x x) (* x x)))
(sqrt.f64 (*.f64 x (+.f64 x x)))
x
(+ (* x (sqrt 2)) 0)
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
x
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
0
#s(literal 0 binary64)

localize48.0ms (0.7%)

Memory

-20.9MiB live, 93.7MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	99.2%	(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
✓	accuracy	100.0%	(hypot.f64 x x)
✓	accuracy	100.0%	(+.f64 x x)
✓	accuracy	100.0%	(sqrt.f64 (+.f64 x x))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.5%	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
✓	accuracy	100.0%	(+.f64 x x)
✓	accuracy	100.0%	(*.f64 (+.f64 x x) x)
✓	accuracy	51.9%	(sqrt.f64 (*.f64 (+.f64 x x) x))

Samples

29.0ms

256×

valid

Compiler

Compiled 48 to 15 computations (68.8% saved)

Precisions

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

ival-sqrt: 8.0ms (39.6% of total)

ival-mult: 5.0ms (24.8% of total)

ival-add: 4.0ms (19.8% of total)

ival-hypot: 4.0ms (19.8% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

11.3MiB live, 11.3MiB allocated

Counts

9 → 96

Calls

Call 1

Inputs
#<alt (sqrt (* (+ x x) x))>
#<alt (* (+ x x) x)>
#<alt (+ x x)>
#<alt (* (sqrt x) (sqrt (+ x x)))>
#<alt (sqrt x)>
#<alt (sqrt (+ x x))>
#<alt (sqrt (+ (* x x) (* x x)))>
#<alt (+ (* x (sqrt 2)) 0)>
#<alt (sqrt 2)>

Outputs
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 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 (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>

Calls

24 calls:

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

rewrite55.0ms (0.8%)

Memory

6.4MiB live, 81.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

772×	`frac-times`
348×	`times-frac`
296×	`-lowering-.f32`
296×	`-lowering-.f64`
182×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	46
1	56	11
2	424	11
0	3854	11

Stop Event

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

Counts

9 → 21

Calls

Call 1

Inputs
(sqrt (* (+ x x) x))
(* (+ x x) x)
(+ x x)
(* (sqrt x) (sqrt (+ x x)))
(sqrt x)
(sqrt (+ x x))
(sqrt (+ (* x x) (* x x)))
(+ (* x (sqrt 2)) 0)
(sqrt 2)

Outputs
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)))
(sqrt.f64 x)
(pow.f64 x #s(literal 1/2 binary64))
(pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
(sqrt.f64 #s(literal 2 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))

simplify177.0ms (2.7%)

Memory

-4.2MiB live, 168.5MiB allocated

Algorithm

1×	egg-herbie

Rules

1 478×	`associate-r`
1 232×	`-lowering-.f32`
1 232×	`-lowering-.f64`
1 232×	`accelerator-lowering-fma.f32`
1 232×	`accelerator-lowering-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	412
1	50	412
2	136	412
3	265	412
4	490	412
5	809	412
6	1411	412
7	1537	412
8	1592	412
9	1630	412
10	1808	412
11	2022	412
12	2068	412
13	2096	412
14	2100	412
15	2100	412
16	2246	412
17	2430	412
18	3585	412
19	3703	412
20	3727	412
21	3735	412
22	3739	412
23	3743	412
24	3855	412
25	3903	412
26	3903	412
27	4085	412
0	4085	412

Stop Event

1×	iter limit
1×	saturated

Counts

96 → 96

Calls

Call 1

Inputs
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 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))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))

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

eval20.0ms (0.3%)

Memory: -19.4MiB live, 56.4MiB allocated
Compiler: Compiled 911 to 71 computations (92.2% saved)

prune5.0ms (0.1%)

Memory

19.4MiB live, 19.4MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	128	2	130
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	128	6	134

Accuracy

100.0%

Counts

134 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(fma.f64 x (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
✓	99.2%	(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
✓	100.0%	(hypot.f64 x x)
✓	99.5%	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
✓	51.9%	(sqrt.f64 (*.f64 (+.f64 x x) x))
▶	3.8%	#s(literal 0 binary64)

Compiler

Compiled 36 to 25 computations (30.6% saved)

simplify4.0ms (0.1%)

Memory

12.3MiB live, 12.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New

Metric

Score

Program

✓

cost-diff

(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))

✓

cost-diff

(fma.f64 x (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))

✓

cost-diff

12288

(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))

Rules

14×	`-lowering-.f32`
14×	`-lowering-.f64`
8×	`accelerator-lowering-fma.f32`
8×	`accelerator-lowering-fma.f64`
6×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	11	16
2	19	14
3	21	14
0	21	14

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
0
(+ (* x (pow (pow 2 1/4) 2)) 0)
x
(pow (pow 2 1/4) 2)
(pow 2 1/4)
2
1/4
0

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

localize29.0ms (0.4%)

Memory

1.8MiB live, 79.4MiB allocated

Localize:

Found 3 expressions of interest:

New

Metric

Score

Program

✓

accuracy

100.0%

(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))

✓

accuracy

99.2%

(fma.f64 x (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))

✓

accuracy

98.4%

(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))

Samples

20.0ms

256×

valid

Compiler

Compiled 23 to 10 computations (56.5% saved)

Precisions

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

ival-pow: 6.0ms (53.4% of total)

ival-pow2: 3.0ms (26.7% of total)

ival-add: 1.0ms (8.9% of total)

ival-mult: 1.0ms (8.9% of total)

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

exact: 0.0ms (0% of total)

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

series0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Counts

3 → 12

Calls

Call 1

Inputs
#<alt (pow (pow 2 1/4) 2)>
#<alt (+ (* x (pow (pow 2 1/4) 2)) 0)>
#<alt (pow 2 1/4)>

Outputs
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+ (* x (pow (pow 2 1/4) 2)) 0)
0.0ms	x	@	-inf	(+ (* x (pow (pow 2 1/4) 2)) 0)
0.0ms	x	@	inf	(+ (* x (pow (pow 2 1/4) 2)) 0)

rewrite337.0ms (5.2%)

Memory

-31.8MiB live, 455.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 984×	`-lowering-.f32`
2 984×	`-lowering-.f64`
2 852×	`accelerator-lowering-fma.f32`
2 852×	`accelerator-lowering-fma.f64`
2 458×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	41	9
2	270	9
3	3365	9
0	8346	9

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 353

Calls

Call 1

Inputs
(pow (pow 2 1/4) 2)
(+ (* x (pow (pow 2 1/4) 2)) 0)
(pow 2 1/4)

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

simplify5.0ms (0.1%)

Memory

16.4MiB live, 16.4MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`-lowering-.f32`
4×	`-lowering-.f64`
2×	`*-commutative`
2×	`sqrt-lowering-sqrt.f64`
2×	`sqrt-lowering-sqrt.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	48
1	5	48
0	5	48

Stop Event

1×	iter limit
1×	saturated

Counts

12 → 12

Calls

Call 1

Inputs
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))

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

eval74.0ms (1.1%)

Memory: 9.3MiB live, 89.6MiB allocated
Compiler: Compiled 5 949 to 672 computations (88.7% saved)

prune101.0ms (1.6%)

Memory

-30.8MiB live, 126.9MiB allocated

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	359	6	365
Fresh	0	0	0
Picked	1	1	2
Done	2	2	4
Total	362	9	371

Accuracy

100.0%

Counts

371 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))))
▶	99.2%	(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (/.f64 x (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))))
	99.3%	(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 x x))
▶	99.6%	(.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) x))
✓	99.5%	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
▶	99.2%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
▶	51.7%	(.f64 #s(literal 2 binary64) (/.f64 (.f64 x x) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))))
✓	51.9%	(sqrt.f64 (*.f64 (+.f64 x x) x))
✓	3.8%	#s(literal 0 binary64)

Compiler

Compiled 153 to 99 computations (35.3% saved)

simplify345.0ms (5.3%)

Memory

22.1MiB live, 503.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))))
✓	cost-diff	0	(fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))
✓	cost-diff	0	(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
✓	cost-diff	320	(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (/.f64 x (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))))
✓	cost-diff	384	(/.f64 x (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	704	(/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)))
✓	cost-diff	-64	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
✓	cost-diff	5056	(.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) x))

Rules

6 564×	`/-lowering-/.f32`
6 564×	`/-lowering-/.f64`
4 814×	`associate-/r*`
4 590×	`-lowering-.f32`
4 590×	`-lowering-.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	181
1	44	181
2	128	131
3	331	99
4	665	99
5	1838	99
6	2025	99
7	2144	99
8	2279	99
9	2475	99
10	2696	99
11	2961	99
12	3272	99
13	3633	99
14	4067	99
15	4382	99
16	4586	99
17	4648	99
18	4711	99
19	4773	99
20	5081	99
0	8878	99

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (* (sqrt (sqrt 2)) (sqrt (sqrt (sqrt 2)))) (* (sqrt (sqrt (sqrt 2))) x))
(* (sqrt (sqrt 2)) (sqrt (sqrt (sqrt 2))))
(sqrt (sqrt 2))
(sqrt 2)
2
(sqrt (sqrt (sqrt 2)))
(* (sqrt (sqrt (sqrt 2))) x)
x
(* (sqrt 2) x)
(sqrt 2)
2
x
(* 2 (/ (* x x) (+ (* (sqrt 2) x) 0)))
2
(/ (* x x) (+ (* (sqrt 2) x) 0))
(* x x)
x
(+ (* (sqrt 2) x) 0)
(sqrt 2)
0
(* (+ (* 2 x) 0) (/ x (+ (* (sqrt 2) x) 0)))
(+ (* 2 x) 0)
2
x
0
(/ x (+ (* (sqrt 2) x) 0))
(+ (* (sqrt 2) x) 0)
(sqrt 2)
(/ 1 (/ 1 (+ (* (sqrt 2) x) 0)))
1
(/ 1 (+ (* (sqrt 2) x) 0))
(+ (* (sqrt 2) x) 0)
(sqrt 2)
2
x
0

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

localize81.0ms (1.3%)

Memory

3.0MiB live, 159.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)))
✓	accuracy	99.2%	(fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	99.3%	(/.f64 x (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)))
✓	accuracy	99.2%	(fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))
✓	accuracy	99.2%	(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) (/.f64 x (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))))
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (/.f64 (.f64 x x) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	99.2%	(fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))
✓	accuracy	51.6%	(/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64)))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	99.2%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	accuracy	100.0%	(sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	99.7%	(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) x)
✓	accuracy	99.7%	(.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) x))

Samples

43.0ms

256×

valid

Compiler

Compiled 143 to 23 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 12.0ms (41.6% of total)

ival-sqrt: 8.0ms (27.7% of total)

ival-div: 6.0ms (20.8% of total)

ival-add: 2.0ms (6.9% of total)

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

exact: 0.0ms (0% of total)

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

series56.0ms (0.9%)

Memory

15.8MiB live, 88.8MiB allocated

Counts

15 → 144

Calls

Call 1

Inputs
#<alt (* (* (sqrt (sqrt 2)) (sqrt (sqrt (sqrt 2)))) (* (sqrt (sqrt (sqrt 2))) x))>
#<alt (* (sqrt (sqrt 2)) (sqrt (sqrt (sqrt 2))))>
#<alt (sqrt (sqrt 2))>
#<alt (sqrt 2)>
#<alt (* (sqrt 2) x)>
#<alt (/ (* x x) (+ (* (sqrt 2) x) 0))>
#<alt (* x x)>
#<alt (+ (* (sqrt 2) x) 0)>
#<alt (/ x (+ (* (sqrt 2) x) 0))>
#<alt (* (+ (* 2 x) 0) (/ x (+ (* (sqrt 2) x) 0)))>
#<alt (+ (* 2 x) 0)>
#<alt (/ 1 (/ 1 (+ (* (sqrt 2) x) 0)))>
#<alt (/ 1 (+ (* (sqrt 2) x) 0))>
#<alt (* (sqrt (sqrt (sqrt 2))) x)>
#<alt (* 2 (/ (* x x) (+ (* (sqrt 2) x) 0)))>

Outputs
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (/ x (sqrt 2))>
#<alt (/ x (sqrt 2))>
#<alt (/ x (sqrt 2))>
#<alt (/ x (sqrt 2))>
#<alt (/ x (sqrt 2))>
#<alt (/ x (sqrt 2))>
#<alt (/ x (sqrt 2))>
#<alt (/ x (sqrt 2))>
#<alt (/ x (sqrt 2))>
#<alt (/ x (sqrt 2))>
#<alt (/ x (sqrt 2))>
#<alt (/ x (sqrt 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 (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (/ 1 (sqrt 2))>
#<alt (/ 1 (sqrt 2))>
#<alt (/ 1 (sqrt 2))>
#<alt (/ 1 (sqrt 2))>
#<alt (/ 1 (sqrt 2))>
#<alt (/ 1 (sqrt 2))>
#<alt (/ 1 (sqrt 2))>
#<alt (/ 1 (sqrt 2))>
#<alt (/ 1 (sqrt 2))>
#<alt (/ 1 (sqrt 2))>
#<alt (/ 1 (sqrt 2))>
#<alt (/ 1 (sqrt 2))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (/ 1 (* x (sqrt 2)))>
#<alt (/ 1 (* x (sqrt 2)))>
#<alt (/ 1 (* x (sqrt 2)))>
#<alt (/ 1 (* x (sqrt 2)))>
#<alt (/ 1 (* x (sqrt 2)))>
#<alt (/ 1 (* x (sqrt 2)))>
#<alt (/ 1 (* x (sqrt 2)))>
#<alt (/ 1 (* x (sqrt 2)))>
#<alt (/ 1 (* x (sqrt 2)))>
#<alt (/ 1 (* x (sqrt 2)))>
#<alt (/ 1 (* x (sqrt 2)))>
#<alt (/ 1 (* x (sqrt 2)))>
#<alt (* (pow (* 1 (sqrt 2)) 1/4) x)>
#<alt (* (pow (* 1 (sqrt 2)) 1/4) x)>
#<alt (* (pow (* 1 (sqrt 2)) 1/4) x)>
#<alt (* (pow (* 1 (sqrt 2)) 1/4) x)>
#<alt (* (pow (* 1 (sqrt 2)) 1/4) x)>
#<alt (* (pow (* 1 (sqrt 2)) 1/4) x)>
#<alt (* (pow (* 1 (sqrt 2)) 1/4) x)>
#<alt (* (pow (* 1 (sqrt 2)) 1/4) x)>
#<alt (* (pow (* 1 (sqrt 2)) 1/4) x)>
#<alt (* (pow (* 1 (sqrt 2)) 1/4) x)>
#<alt (* (pow (* 1 (sqrt 2)) 1/4) x)>
#<alt (* (pow (* 1 (sqrt 2)) 1/4) x)>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>

Calls

36 calls:

Time	Variable		Point	Expression
50.0ms	x	@	0	(* (sqrt (sqrt (sqrt 2))) x)
1.0ms	x	@	0	(* (* (sqrt (sqrt 2)) (sqrt (sqrt (sqrt 2)))) (* (sqrt (sqrt (sqrt 2))) x))
0.0ms	x	@	-inf	(* (+ (* 2 x) 0) (/ x (+ (* (sqrt 2) x) 0)))
0.0ms	x	@	inf	(* (+ (* 2 x) 0) (/ x (+ (* (sqrt 2) x) 0)))
0.0ms	x	@	-inf	(/ (* x x) (+ (* (sqrt 2) x) 0))

rewrite510.0ms (7.9%)

Memory

2.9MiB live, 998.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 340×	`accelerator-lowering-fma.f32`
5 340×	`accelerator-lowering-fma.f64`
5 112×	`-lowering-.f32`
5 112×	`-lowering-.f64`
3 124×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	128
1	102	66
2	948	55
0	8595	55

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 3 922

Calls

Call 1

Inputs
(* (* (sqrt (sqrt 2)) (sqrt (sqrt (sqrt 2)))) (* (sqrt (sqrt (sqrt 2))) x))
(* (sqrt (sqrt 2)) (sqrt (sqrt (sqrt 2))))
(sqrt (sqrt 2))
(sqrt 2)
(* (sqrt 2) x)
(/ (* x x) (+ (* (sqrt 2) x) 0))
(* x x)
(+ (* (sqrt 2) x) 0)
(/ x (+ (* (sqrt 2) x) 0))
(* (+ (* 2 x) 0) (/ x (+ (* (sqrt 2) x) 0)))
(+ (* 2 x) 0)
(/ 1 (/ 1 (+ (* (sqrt 2) x) 0)))
(/ 1 (+ (* (sqrt 2) x) 0))
(* (sqrt (sqrt (sqrt 2))) x)
(* 2 (/ (* x x) (+ (* (sqrt 2) x) 0)))

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

simplify54.0ms (0.8%)

Memory

-0.2MiB live, 118.0MiB allocated

Algorithm

1×	egg-herbie

Rules

90×	`-lowering-.f32`
90×	`-lowering-.f64`
42×	`/-lowering-/.f32`
42×	`/-lowering-/.f64`
26×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	648
1	27	648
2	51	648
3	54	648
4	81	648
5	101	648
6	112	648
0	112	648

Stop Event

1×	iter limit
1×	saturated

Counts

144 → 144

Calls

Call 1

Inputs
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(/ x (sqrt 2))
(/ x (sqrt 2))
(/ x (sqrt 2))
(/ x (sqrt 2))
(/ x (sqrt 2))
(/ x (sqrt 2))
(/ x (sqrt 2))
(/ x (sqrt 2))
(/ x (sqrt 2))
(/ x (sqrt 2))
(/ x (sqrt 2))
(/ x (sqrt 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 (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(/ 1 (sqrt 2))
(/ 1 (sqrt 2))
(/ 1 (sqrt 2))
(/ 1 (sqrt 2))
(/ 1 (sqrt 2))
(/ 1 (sqrt 2))
(/ 1 (sqrt 2))
(/ 1 (sqrt 2))
(/ 1 (sqrt 2))
(/ 1 (sqrt 2))
(/ 1 (sqrt 2))
(/ 1 (sqrt 2))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(/ 1 (* x (sqrt 2)))
(/ 1 (* x (sqrt 2)))
(/ 1 (* x (sqrt 2)))
(/ 1 (* x (sqrt 2)))
(/ 1 (* x (sqrt 2)))
(/ 1 (* x (sqrt 2)))
(/ 1 (* x (sqrt 2)))
(/ 1 (* x (sqrt 2)))
(/ 1 (* x (sqrt 2)))
(/ 1 (* x (sqrt 2)))
(/ 1 (* x (sqrt 2)))
(/ 1 (* x (sqrt 2)))
(* (pow (* 1 (sqrt 2)) 1/4) x)
(* (pow (* 1 (sqrt 2)) 1/4) x)
(* (pow (* 1 (sqrt 2)) 1/4) x)
(* (pow (* 1 (sqrt 2)) 1/4) x)
(* (pow (* 1 (sqrt 2)) 1/4) x)
(* (pow (* 1 (sqrt 2)) 1/4) x)
(* (pow (* 1 (sqrt 2)) 1/4) x)
(* (pow (* 1 (sqrt 2)) 1/4) x)
(* (pow (* 1 (sqrt 2)) 1/4) x)
(* (pow (* 1 (sqrt 2)) 1/4) x)
(* (pow (* 1 (sqrt 2)) 1/4) x)
(* (pow (* 1 (sqrt 2)) 1/4) x)
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))

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

eval1.1s (16.3%)

Memory: -97.7MiB live, 1 264.3MiB allocated
Compiler: Compiled 135 463 to 9 970 computations (92.6% saved)

prune733.0ms (11.3%)

Memory

-47.4MiB live, 1 130.7MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	6 304	2	6 306
Fresh	1	0	1
Picked	4	1	5
Done	0	3	3
Total	6 309	6	6 315

Accuracy

100.0%

Counts

6 315 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))
	99.3%	(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
✓	99.5%	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
✓	99.2%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	51.9%	(sqrt.f64 (*.f64 (+.f64 x x) x))
✓	3.8%	#s(literal 0 binary64)

Compiler

Compiled 149 to 67 computations (55% saved)

regimes37.0ms (0.6%)

Memory

-7.0MiB live, 28.7MiB allocated

Counts

15 → 1

Calls

Call 1

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

Outputs
(hypot.f64 x x)

Calls

4 calls:

23.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))
5.0ms	x
4.0ms	(*.f64 x x)
4.0ms	(+.f64 (.f64 x x) (.f64 x x))

Results

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

Compiler

Compiled 23 to 10 computations (56.5% saved)

regimes37.0ms (0.6%)

Memory

-13.9MiB live, 29.2MiB allocated

Counts

13 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	x
4.0ms	(+.f64 (.f64 x x) (.f64 x x))
4.0ms	(*.f64 x x)
4.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))`
99.6%	1	`(+.f64 (.f64 x x) (.f64 x x))`
99.6%	1	`(*.f64 x x)`

Compiler

Compiled 23 to 10 computations (56.5% saved)

regimes16.0ms (0.2%)

Memory

34.2MiB live, 34.2MiB allocated

Counts

12 → 1

Calls

Call 1

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

Outputs
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))

Calls

4 calls:

4.0ms	x
4.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))
4.0ms	(*.f64 x x)
3.0ms	(+.f64 (.f64 x x) (.f64 x x))

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))`
99.5%	1	`(+.f64 (.f64 x x) (.f64 x x))`
99.5%	1	`(*.f64 x x)`

Compiler

Compiled 23 to 10 computations (56.5% saved)

regimes11.0ms (0.2%)

Memory

-14.1MiB live, 24.3MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(sqrt.f64 (*.f64 (+.f64 x x) x))
(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))

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

Calls

4 calls:

4.0ms	(*.f64 x x)
2.0ms	x
2.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))
2.0ms	(+.f64 (.f64 x x) (.f64 x x))

Results

Accuracy	Segments	Branch
99.3%	1	`x`
99.3%	1	`(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))`
99.3%	1	`(+.f64 (.f64 x x) (.f64 x x))`
99.3%	1	`(*.f64 x x)`

Compiler

Compiled 23 to 10 computations (56.5% saved)

regimes10.0ms (0.2%)

Memory

-16.3MiB live, 22.7MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(sqrt.f64 (*.f64 (+.f64 x x) x))
(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))

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

Calls

4 calls:

3.0ms	x
2.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))
2.0ms	(+.f64 (.f64 x x) (.f64 x x))
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))`
99.2%	1	`(+.f64 (.f64 x x) (.f64 x x))`
99.2%	1	`(*.f64 x x)`

Compiler

Compiled 23 to 10 computations (56.5% saved)

regimes5.0ms (0.1%)

Memory

14.6MiB live, 14.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)

Calls

4 calls:

1.0ms	x
1.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))
1.0ms	(+.f64 (.f64 x x) (.f64 x x))
1.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
3.8%	1	`x`
3.8%	1	`(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))`
3.8%	1	`(+.f64 (.f64 x x) (.f64 x x))`
3.8%	1	`(*.f64 x x)`

Compiler

Compiled 23 to 10 computations (56.5% saved)

simplify7.0ms (0.1%)

Memory

16.2MiB live, 16.1MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	36
1	23	36

Stop Event

1×

saturated

Calls

Call 1

Inputs
(hypot.f64 x x)
(.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
#s(literal 0 binary64)

Outputs
(hypot.f64 x x)
(.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) x))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))) (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
#s(literal 0 binary64)

soundness1.5s (23%)

Memory

-18.0MiB live, 454.4MiB allocated

Rules

5 340×	`accelerator-lowering-fma.f32`
5 340×	`accelerator-lowering-fma.f64`
5 112×	`-lowering-.f32`
5 112×	`-lowering-.f64`
3 124×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	14
1	20	10
0	157	9
0	15	46
1	56	11
2	424	11
0	3854	11
0	21	128
1	102	66
2	948	55
0	8595	55
0	8	11
1	41	9
2	270	9
3	3365	9
0	8346	9
0	8	148
1	15	148
2	32	148
3	37	148
4	41	148
5	53	148
6	65	148
7	76	148
8	96	148
9	101	148
0	101	148

Stop Event

1×	fuel
1×	iter limit
1×	saturated
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound

Compiler

Compiled 111 to 73 computations (34.2% saved)

preprocess62.0ms (1%)

Memory: 10.7MiB live, 87.4MiB allocated
Remove: (abs x)
Compiler: Compiled 124 to 58 computations (53.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	148
1	15	148
2	32	148
3	37	148
4	41	148
5	53	148
6	65	148
7	76	148
8	96	148
9	101	148
0	101	148

Iter	Nodes	Cost
0	8	148
1	15	148
2	32	148
3	37	148
4	41	148
5	53	148
6	65	148
7	76	148
8	96	148
9	101	148
0	101	148

analyze0.0ms (0%)

sample742.0ms (11.4%)

preprocess203.0ms (3.1%)

explain70.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0.1%)

localize20.0ms (0.3%)

series3.0ms (0%)

rewrite34.0ms (0.5%)

simplify13.0ms (0.2%)

eval9.0ms (0.1%)

prune6.0ms (0.1%)

simplify4.0ms (0.1%)

localize48.0ms (0.7%)

series5.0ms (0.1%)

rewrite55.0ms (0.8%)

simplify177.0ms (2.7%)

eval20.0ms (0.3%)

prune5.0ms (0.1%)

simplify4.0ms (0.1%)

localize29.0ms (0.4%)

series0.0ms (0%)

rewrite337.0ms (5.2%)

simplify5.0ms (0.1%)

eval74.0ms (1.1%)

prune101.0ms (1.6%)

simplify345.0ms (5.3%)

localize81.0ms (1.3%)

series56.0ms (0.9%)

rewrite510.0ms (7.9%)

simplify54.0ms (0.8%)

eval1.1s (16.3%)

prune733.0ms (11.3%)

regimes37.0ms (0.6%)

regimes37.0ms (0.6%)

regimes16.0ms (0.2%)

regimes11.0ms (0.2%)

regimes10.0ms (0.2%)

regimes5.0ms (0.1%)

simplify7.0ms (0.1%)

soundness1.5s (23%)

preprocess62.0ms (1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	148
1	15	148
2	32	148
3	37	148
4	41	148
5	53	148
6	65	148
7	76	148
8	96	148
9	101	148
0	101	148