Metrics for sqrt D (should all be same)

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample866.0ms (5.9%)

Memory

5.7MiB live, 760.2MiB allocated

Samples

492.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 328.0ms

ival-pow2: 154.0ms (47% of total)

ival-mult: 101.0ms (30.8% of total)

ival-sqrt: 59.0ms (18% of total)

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

exact: 5.0ms (1.5% of total)

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

Bogosity

preprocess40.0ms (0.3%)

Memory

-12.8MiB live, 25.8MiB allocated

Algorithm

1×	egg-herbie

Rules

70×	`associate-r`
46×	`associate-l`
38×	`distribute-rgt-neg-out`
38×	`unsub-neg`
34×	`distribute-lft-neg-out`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	15	13
2	34	13
3	123	13
4	246	13
5	270	13
6	280	13
0	5	6
0	8	6
1	10	6
2	14	6
3	16	6
0	16	6

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

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

explain75.0ms (0.5%)

Memory

15.2MiB live, 98.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
129	-	4	(7.847351984257393e-156)	`(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))`
0	-	0	-	`(pow.f64 x #s(literal 2 binary64))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))`	oflow-rescue	83	0
↳	`(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))`	overflow	84
↳	`(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))`	overflow	1
↳	`(pow.f64 x #s(literal 2 binary64))`	overflow	84
`sqrt.f64`	`(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))`	uflow-rescue	42	0
↳	`(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))`	underflow	42
↳	`(pow.f64 x #s(literal 2 binary64))`	underflow	42

Confusion

	Predicted +	Predicted -
+	125	4
-	0	127

Precision

1.0

Recall

0.9689922480620154

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	125	0	4
-	0	0	127

Precision?

1.0

Recall?

0.9689922480620154

Freqs

test

number	freq
0	131
1	125

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

27.0ms

512×

valid

Compiler

Compiled 50 to 24 computations (52% saved)

Precisions

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

ival-pow2: 6.0ms (44.7% of total)

ival-sqrt: 4.0ms (29.8% of total)

ival-mult: 3.0ms (22.3% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.6%	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify4.0ms (0%)

Memory

7.8MiB live, 7.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
✓	cost-diff	0	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
✓	cost-diff	6144	(pow.f64 x #s(literal 2 binary64))

Rules

14×	`lower-*.f32`
12×	`lower-*.f64`
8×	`*-commutative`
2×	`lift-sqrt.f64`
2×	`lift-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	16
0	8	16
1	10	16
2	14	16
3	16	16
0	16	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize22.0ms (0.1%)

Memory

-2.5MiB live, 35.1MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
✓	accuracy	53.7%	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))

Samples

15.0ms

256×

valid

Compiler

Compiled 18 to 7 computations (61.1% saved)

Precisions

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

ival-pow2: 3.0ms (45.2% of total)

ival-mult: 2.0ms (30.1% of total)

ival-sqrt: 2.0ms (30.1% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated

Counts

3 → 36

Calls

Call 1

Inputs
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>

Outputs
#<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 (* -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))>

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(sqrt (* 2 (pow x 2)))
0.0ms	x	@	0	(* 2 (pow x 2))
0.0ms	x	@	inf	(pow x 2)
0.0ms	x	@	inf	(sqrt (* 2 (pow x 2)))
0.0ms	x	@	0	(pow x 2)

rewrite192.0ms (1.3%)

Memory

-16.7MiB live, 215.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 310×	`lower-*.f64`
2 310×	`lower-*.f32`
2 014×	`lower-/.f64`
2 014×	`lower-/.f32`
1 182×	`frac-times`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	5	14
0	8	14
1	22	12
2	57	12
3	186	12
4	765	4
5	6179	4
0	9030	4

Stop Event

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

Counts

3 → 46

Calls

Call 1

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

Outputs
#s(literal 1 binary64)
x
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 1 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 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64) (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(exp.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64) (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)))))
(exp.f64 (+.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64))))
(exp.f64 (+.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64))) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64))))
(sqrt.f64 #s(literal 2 binary64))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (E.f64)) (/.f64 #s(literal 0 binary64) (log.f64 #s(literal 2 binary64)))))
(/.f64 (pow.f64 (sqrt.f64 (E.f64)) (/.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/2 binary64)))) (pow.f64 (sqrt.f64 (E.f64)) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 #s(literal 1/2 binary64)))))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (.f64 (E.f64) (E.f64)) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) #s(literal 4 binary64))
(pow.f64 (E.f64) (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (E.f64)) (log.f64 #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (E.f64)) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)))
(pow.f64 (sqrt.f64 (E.f64)) (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)) #s(literal 8 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))
(pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (E.f64))) (log.f64 #s(literal 4 binary64)))
(pow.f64 (sqrt.f64 (sqrt.f64 (E.f64))) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (E.f64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64))))
(pow.f64 (pow.f64 (sqrt.f64 (E.f64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal -2 binary64)))
(pow.f64 (pow.f64 (sqrt.f64 (E.f64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/2 binary64))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 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)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 7/16 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))
(.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 7/16 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)) #s(literal 1 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 7/16 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 7/16 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
#s(literal 2 binary64)

simplify8.0ms (0.1%)

Memory

14.5MiB live, 14.5MiB allocated

Algorithm

1×	egg-herbie

Rules

38×	`lower-*.f64`
38×	`lower-fma.f64`
38×	`lower-fma.f32`
38×	`lower-*.f32`
36×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	148
1	15	148
2	32	148
3	38	148
4	42	148
5	54	148
6	66	148
7	77	148
8	97	148
9	102	148
0	102	148

Stop Event

1×	iter limit
1×	saturated

Counts

36 → 36

Calls

Call 1

Inputs
(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))
(* -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))

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

eval14.0ms (0.1%)

Memory: -29.3MiB live, 23.1MiB allocated
Compiler: Compiled 563 to 120 computations (78.7% saved)

prune7.0ms (0%)

Memory

16.4MiB live, 16.4MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	78	4	82
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	79	4	83

Accuracy

99.5%

Counts

83 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.4%	(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
▶	53.7%	(sqrt.f64 (.f64 x (.f64 x #s(literal 2 binary64))))
▶	5.4%	(sqrt.f64 #s(literal 2 binary64))
▶	51.7%	(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 21 to 17 computations (19% saved)

simplify7.0ms (0%)

Memory

13.0MiB live, 13.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Rules

38×	`lower-fma.f64`
38×	`lower-fma.f32`
38×	`lower-*.f32`
36×	`lower-+.f64`
36×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	40
0	14	40
1	27	40
2	37	40
3	47	40
4	59	40
5	71	40
6	82	40
7	102	40
8	107	40
0	107	40

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize35.0ms (0.2%)

Memory

-8.6MiB live, 67.0MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	99.2%	(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(.f64 x (.f64 x #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	53.7%	(sqrt.f64 (.f64 x (.f64 x #s(literal 2 binary64))))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
✓	accuracy	99.2%	(*.f64 x (sqrt.f64 #s(literal 2 binary64)))

Samples

21.0ms

256×

valid

Compiler

Compiled 42 to 10 computations (76.2% saved)

Precisions

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

ival-sqrt: 7.0ms (53.8% of total)

ival-mult: 5.0ms (38.4% of total)

ival-neg: 1.0ms (7.7% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

4.3MiB live, 4.3MiB allocated

Counts

6 → 60

Calls

Call 1

Inputs
#<alt (neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (sqrt.f64 #s(literal 2 binary64))>
#<alt (sqrt.f64 (.f64 x (.f64 x #s(literal 2 binary64))))>
#<alt (.f64 x (.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 x #s(literal 2 binary64))>

Outputs
#<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 (* 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 (* -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)>

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(* x 2)
0.0ms	x	@	0	(* x 2)
0.0ms	x	@	-inf	(neg (* x (sqrt 2)))
0.0ms	x	@	inf	(* x 2)
0.0ms	x	@	0	(neg (* x (sqrt 2)))

rewrite254.0ms (1.7%)

Memory

2.5MiB live, 241.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 440×	`lower-fma.f64`
2 440×	`lower-fma.f32`
1 988×	`lower-*.f32`
1 982×	`lower-*.f64`
1 258×	`lower-pow.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	8	25
0	14	25
1	33	25
2	79	25
3	324	25
4	3144	22
0	8423	22

Stop Event

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

Counts

6 → 1 058

Calls

Call 1

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

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

simplify17.0ms (0.1%)

Memory

-0.2MiB live, 37.0MiB allocated

Algorithm

1×	egg-herbie

Rules

38×	`lower-*.f64`
38×	`lower-fma.f64`
38×	`lower-fma.f32`
38×	`lower-*.f32`
36×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	256
1	17	256
2	32	256
3	36	256
4	40	256
5	52	256
6	64	256
7	75	256
8	95	256
9	100	256
0	100	256

Stop Event

1×	iter limit
1×	saturated

Counts

60 → 60

Calls

Call 1

Inputs
(* -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)))
(* 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))
(* -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)

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

eval168.0ms (1.1%)

Memory: 23.8MiB live, 368.9MiB allocated
Compiler: Compiled 19 456 to 1 238 computations (93.6% saved)

prune115.0ms (0.8%)

Memory

-2.8MiB live, 266.0MiB allocated

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	1 458	6	1 464
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	1 458	10	1 468

Accuracy

100.0%

Counts

1 468 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.8%	(/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
▶	49.3%	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
	49.5%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))))
▶	49.4%	(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)
▶	48.5%	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
✓	49.4%	(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
✓	53.7%	(sqrt.f64 (.f64 x (.f64 x #s(literal 2 binary64))))
✓	5.4%	(sqrt.f64 #s(literal 2 binary64))
▶	49.5%	(neg.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
✓	51.7%	(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 127 to 97 computations (23.6% saved)

simplify42.0ms (0.3%)

Memory

26.5MiB live, 61.2MiB 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	(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
✓	cost-diff	1408	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(*.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
✓	cost-diff	0	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 x #s(literal -2 binary64))
✓	cost-diff	0	(/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	128	(neg.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 x #s(literal -2 binary64))
✓	cost-diff	0	(/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64)))

Rules

324×	`lower-*.f32`
320×	`lower-fma.f64`
320×	`lower-fma.f32`
314×	`lower-*.f64`
286×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	90
0	30	89
1	51	85
2	85	85
3	139	85
4	285	85
5	550	85
6	1034	85
7	1192	85
8	1217	85
9	1232	85
0	1232	85

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)
(/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal 2 binary64)
(sqrt.f64 #s(literal 2 binary64))
x
(neg.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(sqrt.f64 x)
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
#s(literal -1 binary64)
(/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
x
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)

Outputs
(/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (/.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)
(*.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal 2 binary64)
(sqrt.f64 #s(literal 2 binary64))
x
(neg.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (/.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(sqrt.f64 x)
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
#s(literal -1 binary64)
(/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
x
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)

localize75.0ms (0.5%)

Memory

-17.5MiB live, 179.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	99.8%	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
✓	accuracy	99.8%	(/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
✓	accuracy	99.6%	(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.7%	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
✓	accuracy	100.0%	(*.f64 x #s(literal -2 binary64))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(neg.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
✓	accuracy	99.7%	(/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	99.6%	(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)
✓	accuracy	99.2%	(/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal -2 binary64))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	99.7%	(/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64)))

Samples

24.0ms	125×	0	valid
20.0ms	131×	0	invalid

Compiler

Compiled 92 to 19 computations (79.3% saved)

Precisions

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

ival-sqrt: 12.0ms (41.9% of total)

ival-mult: 8.0ms (27.9% of total)

ival-div: 7.0ms (24.4% of total)

ival-neg: 1.0ms (3.5% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

19.7MiB live, 19.7MiB allocated

Counts

13 → 132

Calls

Call 1

Inputs
#<alt (/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x #s(literal -2 binary64))>
#<alt (sqrt.f64 #s(literal 2 binary64))>
#<alt (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)>
#<alt (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (neg.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))>
#<alt (sqrt.f64 (*.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 x #s(literal 2 binary64))>
#<alt (sqrt.f64 x)>
#<alt (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>

Outputs
#<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 (* 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 (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 (* 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) (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 (* 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 (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 (* 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 (* 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

33 calls:

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

rewrite375.0ms (2.5%)

Memory

-24.5MiB live, 505.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 436×	`lower-*.f32`
3 426×	`lower-*.f64`
2 232×	`lower-fma.f64`
2 232×	`lower-fma.f32`
1 856×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	62
0	30	58
1	81	58
2	310	52
3	1502	45
0	8144	45

Stop Event

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

Counts

13 → 4 193

Calls

Call 1

Inputs
(/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x #s(literal -2 binary64))
(sqrt.f64 #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)
(/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
(sqrt.f64 x)
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))

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

simplify438.0ms (3%)

Memory

-33.8MiB live, 224.4MiB allocated

Algorithm

1×	egg-herbie

Rules

2 428×	`lower-*.f64`
2 428×	`lower-fma.f64`
2 428×	`lower-fma.f32`
2 428×	`lower-*.f32`
1 556×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	620
1	54	620
2	134	620
3	259	620
4	490	620
5	801	620
6	1325	620
7	1455	620
8	1578	620
9	1812	620
10	2068	620
11	2514	620
12	2590	620
13	2616	620
14	2620	620
15	2620	620
16	2620	620
17	2661	620
18	3465	620
19	4400	620
20	5334	620
21	5702	620
22	5904	620
23	5948	620
24	7099	620
25	7623	620
26	7778	620
0	8090	620

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

Inputs
(* -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)
(* 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 (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)))
(* 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 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))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(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)))
(* 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)))
(* 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
(* -2 (/ x (sqrt 2)))
(/.f64 (*.f64 #s(literal -2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))
(* -2 (/ x (sqrt 2)))
(/.f64 (*.f64 #s(literal -2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))
(* -2 (/ x (sqrt 2)))
(/.f64 (*.f64 #s(literal -2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))
(* -2 (/ x (sqrt 2)))
(/.f64 (*.f64 #s(literal -2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))
(* -2 (/ x (sqrt 2)))
(/.f64 (*.f64 #s(literal -2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))
(* -2 (/ x (sqrt 2)))
(/.f64 (*.f64 #s(literal -2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))
(* -2 (/ x (sqrt 2)))
(/.f64 (*.f64 #s(literal -2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))
(* -2 (/ x (sqrt 2)))
(/.f64 (*.f64 #s(literal -2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))
(* -2 (/ x (sqrt 2)))
(/.f64 (*.f64 #s(literal -2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))
(* -2 (/ x (sqrt 2)))
(/.f64 (*.f64 #s(literal -2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))
(* -2 (/ x (sqrt 2)))
(/.f64 (*.f64 #s(literal -2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))
(* -2 (/ x (sqrt 2)))
(/.f64 (*.f64 #s(literal -2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (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) (sqrt -1))))
(.f64 (sqrt.f64 #s(literal -2 binary64)) (neg.f64 (.f64 x (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(.f64 (sqrt.f64 #s(literal -2 binary64)) (neg.f64 (.f64 x (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(.f64 (sqrt.f64 #s(literal -2 binary64)) (neg.f64 (.f64 x (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(.f64 (sqrt.f64 #s(literal -2 binary64)) (neg.f64 (.f64 x (sqrt.f64 #s(literal -1 binary64)))))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(.f64 (sqrt.f64 #s(literal -2 binary64)) (.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(.f64 (sqrt.f64 #s(literal -2 binary64)) (.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(.f64 (sqrt.f64 #s(literal -2 binary64)) (.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(.f64 (sqrt.f64 #s(literal -2 binary64)) (.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 #s(literal -1 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))
(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)
(* 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))))
(* 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)))

eval957.0ms (6.5%)

Memory: 51.1MiB live, 1 280.6MiB allocated
Compiler: Compiled 68 055 to 4 886 computations (92.8% saved)

prune349.0ms (2.4%)

Memory

19.7MiB live, 781.8MiB allocated

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	5 178	3	5 181
Fresh	1	0	1
Picked	3	2	5
Done	0	4	4
Total	5 182	9	5 191

Accuracy

100.0%

Counts

5 191 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.5%	(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
✓	51.8%	(/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
▶	49.4%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))
▶	48.6%	(.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)))
✓	48.5%	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
✓	49.4%	(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
✓	53.7%	(sqrt.f64 (.f64 x (.f64 x #s(literal 2 binary64))))
✓	5.4%	(sqrt.f64 #s(literal 2 binary64))
✓	51.7%	(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 60 to 48 computations (20% saved)

simplify10.0ms (0.1%)

Memory

-22.8MiB live, 16.1MiB 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	(*.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	1088	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(*.f64 #s(literal 4 binary64) x)
✓	cost-diff	0	(pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))
✓	cost-diff	0	(pow.f64 x #s(literal 3/4 binary64))
✓	cost-diff	0	(.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)))

Rules

84×	`lower-*.f32`
78×	`lower-*.f64`
50×	`lower-/.f32`
44×	`lower-/.f64`
30×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	51
0	24	51
1	33	49
2	39	49
3	50	49
4	62	49
5	72	49
6	102	49
7	114	49
8	114	49
9	120	49
10	128	49
0	128	49

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)))
(pow.f64 x #s(literal 3/4 binary64))
x
#s(literal 3/4 binary64)
(pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))
(*.f64 #s(literal 4 binary64) x)
#s(literal 4 binary64)
#s(literal 1/4 binary64)
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(sqrt.f64 #s(literal 2 binary64))

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

localize48.0ms (0.3%)

Memory

14.4MiB live, 93.2MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	99.7%	(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	99.6%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))
✓	accuracy	100.0%	(pow.f64 x #s(literal 3/4 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 4 binary64) x)
✓	accuracy	99.8%	(.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)))

Samples

18.0ms	125×	0	valid
13.0ms	131×	0	invalid

Compiler

Compiled 53 to 17 computations (67.9% saved)

Precisions

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

ival-pow: 7.0ms (34.8% of total)

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

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

ival-sqrt: 2.0ms (10% of total)

exact: 1.0ms (5% of total)

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

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

series183.0ms (1.2%)

Memory

14.6MiB live, 201.5MiB allocated

Counts

9 → 96

Calls

Call 1

Inputs
#<alt (.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)))>
#<alt (pow.f64 x #s(literal 3/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))>
#<alt (*.f64 #s(literal 4 binary64) x)>
#<alt (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 #s(literal 2 binary64))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x #s(literal 2 binary64))>

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

Calls

24 calls:

Time	Variable		Point	Expression
82.0ms	x	@	0	(* (pow x 3/4) (pow (* 4 x) 1/4))
32.0ms	x	@	-inf	(pow (* 4 x) 1/4)
14.0ms	x	@	0	(pow (* 4 x) 1/4)
13.0ms	x	@	-inf	(pow x 3/4)
12.0ms	x	@	0	(pow x 3/4)

rewrite243.0ms (1.7%)

Memory

-28.7MiB live, 320.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 446×	`lower-*.f32`
3 440×	`lower-*.f64`
1 864×	`lower-fma.f64`
1 864×	`lower-fma.f32`
1 850×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	40
0	24	46
1	73	46
2	261	31
3	1424	31
0	8687	31

Stop Event

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

Counts

9 → 1 264

Calls

Call 1

Inputs
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)))
(pow.f64 x #s(literal 3/4 binary64))
(pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))
(*.f64 #s(literal 4 binary64) x)
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))

Outputs
(+.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 x #s(literal 0 binary64)) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 0 binary64)) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 4 binary64)) (log.f64 x)))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (fma.f64 (log.f64 (.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64) (*.f64 (log.f64 x) #s(literal 3/8 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (fma.f64 (log.f64 x) #s(literal 3/8 binary64) (.f64 (log.f64 (*.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64))) #s(literal 2 binary64)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 4 binary64)))))
(exp.f64 (fma.f64 #s(literal 3/4 binary64) (log.f64 x) (.f64 (log.f64 (.f64 #s(literal 16 binary64) (*.f64 x x))) #s(literal 1/8 binary64))))
(exp.f64 (fma.f64 #s(literal 3/4 binary64) (log.f64 x) (.f64 (.f64 (log.f64 (*.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64)) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/8 binary64) (.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 x #s(literal 4 binary64))))))
(exp.f64 (fma.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/8 binary64) (.f64 (log.f64 (.f64 #s(literal 16 binary64) (.f64 x x))) #s(literal 1/8 binary64))))
(exp.f64 (fma.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/8 binary64) (.f64 (.f64 (log.f64 (.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64)) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (.f64 (log.f64 x) #s(literal 3/8 binary64)) #s(literal 2 binary64) (.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 x #s(literal 4 binary64))))))
(exp.f64 (fma.f64 (.f64 (log.f64 x) #s(literal 3/8 binary64)) #s(literal 2 binary64) (.f64 (log.f64 (.f64 #s(literal 16 binary64) (.f64 x x))) #s(literal 1/8 binary64))))
(exp.f64 (fma.f64 (.f64 (log.f64 x) #s(literal 3/8 binary64)) #s(literal 2 binary64) (.f64 (.f64 (log.f64 (.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64)) #s(literal 2 binary64))))
(exp.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 (.f64 x #s(literal 4 binary64))) (.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/8 binary64))))
(exp.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 (.f64 x #s(literal 4 binary64))) (.f64 (*.f64 (log.f64 x) #s(literal 3/8 binary64)) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 (.f64 #s(literal 16 binary64) (.f64 x x))) #s(literal 1/8 binary64) (*.f64 #s(literal 3/4 binary64) (log.f64 x))))
(exp.f64 (fma.f64 (log.f64 (.f64 #s(literal 16 binary64) (.f64 x x))) #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/8 binary64))))
(exp.f64 (fma.f64 (log.f64 (.f64 #s(literal 16 binary64) (.f64 x x))) #s(literal 1/8 binary64) (.f64 (.f64 (log.f64 x) #s(literal 3/8 binary64)) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (.f64 (log.f64 (.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 3/4 binary64) (log.f64 x))))
(exp.f64 (fma.f64 (.f64 (log.f64 (.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64)) #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/8 binary64))))
(exp.f64 (fma.f64 (.f64 (log.f64 (.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64)) #s(literal 2 binary64) (.f64 (.f64 (log.f64 x) #s(literal 3/8 binary64)) #s(literal 2 binary64))))
(exp.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 x) (fma.f64 #s(literal 3/4 binary64) (log.f64 x) (*.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 4 binary64))))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 3/8 binary64) (fma.f64 (log.f64 x) #s(literal 3/8 binary64) (.f64 #s(literal 1/4 binary64) (log.f64 (.f64 x #s(literal 4 binary64)))))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 3/8 binary64) (fma.f64 #s(literal 1/4 binary64) (log.f64 (.f64 x #s(literal 4 binary64))) (.f64 (log.f64 x) #s(literal 3/8 binary64)))))
(exp.f64 (fma.f64 (log.f64 (.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64) (fma.f64 (log.f64 (.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64) (*.f64 #s(literal 3/4 binary64) (log.f64 x)))))
(exp.f64 (fma.f64 (log.f64 (.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64) (fma.f64 #s(literal 3/4 binary64) (log.f64 x) (.f64 (log.f64 (*.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64)))))
(exp.f64 (+.f64 (fma.f64 (log.f64 (.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64) (.f64 (log.f64 x) #s(literal 3/8 binary64))) (fma.f64 (log.f64 (.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64) (.f64 (log.f64 x) #s(literal 3/8 binary64)))))
(exp.f64 (+.f64 (fma.f64 (log.f64 (.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64) (.f64 (log.f64 x) #s(literal 3/8 binary64))) (fma.f64 (log.f64 x) #s(literal 3/8 binary64) (.f64 (log.f64 (.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64)))))
(exp.f64 (+.f64 (fma.f64 (log.f64 x) #s(literal 3/8 binary64) (.f64 (log.f64 (.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64))) (fma.f64 (log.f64 (.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64) (.f64 (log.f64 x) #s(literal 3/8 binary64)))))
(exp.f64 (+.f64 (fma.f64 (log.f64 x) #s(literal 3/8 binary64) (.f64 (log.f64 (.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64))) (fma.f64 (log.f64 x) #s(literal 3/8 binary64) (.f64 (log.f64 (.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64)))))
(exp.f64 (+.f64 (fma.f64 (log.f64 x) #s(literal 3/8 binary64) (.f64 #s(literal 1/4 binary64) (log.f64 (.f64 x #s(literal 4 binary64))))) (*.f64 (log.f64 x) #s(literal 3/8 binary64))))
(exp.f64 (+.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 (.f64 x #s(literal 4 binary64))) (.f64 (log.f64 x) #s(literal 3/8 binary64))) (*.f64 (log.f64 x) #s(literal 3/8 binary64))))
(exp.f64 (+.f64 (fma.f64 (log.f64 (.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64) (.f64 #s(literal 3/4 binary64) (log.f64 x))) (.f64 (log.f64 (.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64))))
(exp.f64 (+.f64 (fma.f64 #s(literal 3/4 binary64) (log.f64 x) (.f64 (log.f64 (.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64))) (.f64 (log.f64 (.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64))))
(exp.f64 (neg.f64 (neg.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))))
(exp.f64 (-.f64 (log.f64 x) (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 4 binary64))) #s(literal -1 binary64))))
(exp.f64 (-.f64 (log.f64 x) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 x #s(literal 0 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 0 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(/.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(/.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(/.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (.f64 x (.f64 #s(literal 2 binary64) (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(/.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(/.f64 (.f64 x x) (.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(/.f64 (.f64 #s(literal 2 binary64) (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64))) (.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
(/.f64 (.f64 x (.f64 #s(literal 2 binary64) (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64)))) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(/.f64 (.f64 x (.f64 #s(literal 2 binary64) (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64)))) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
(/.f64 (.f64 x (.f64 #s(literal 2 binary64) (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64)))) (*.f64 #s(literal 1 binary64) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
(/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
(/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 (sqrt.f64 x) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 0 binary64))))
(/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 0 binary64))))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (sqrt.f64 #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x (.f64 #s(literal 2 binary64) (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64)))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 x #s(literal 2 binary64)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 x (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
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(.f64 (neg.f64 (pow.f64 (.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64))) (.f64 (pow.f64 (.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 7/8 binary64)))))
(.f64 (neg.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x))) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x)))
(.f64 (neg.f64 (.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 5/8 binary64)))) (pow.f64 x #s(literal 3/8 binary64)))
(.f64 (neg.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 7/8 binary64)))) (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)))
(.f64 (neg.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal -1 binary64))) (*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
(.f64 (neg.f64 (pow.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))) (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (neg.f64 (.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 1/8 binary64)))) (pow.f64 x #s(literal 1/8 binary64)))
(.f64 (neg.f64 (.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 7/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)))) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(.f64 (neg.f64 (.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 7/8 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))) (pow.f64 x #s(literal 1/8 binary64)))
(.f64 (neg.f64 (.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 7/8 binary64))) (pow.f64 (.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64)))) (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64)))
(.f64 (neg.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 5/8 binary64))) (pow.f64 x #s(literal 3/16 binary64)))) (pow.f64 x #s(literal 3/16 binary64)))
(.f64 (neg.f64 (.f64 #s(literal -1 binary64) (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64)))) (.f64 x (.f64 #s(literal 2 binary64) (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64)))))
(.f64 (neg.f64 (.f64 #s(literal -2 binary64) (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64)))) (*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64))))
(.f64 (neg.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))
(.f64 (/.f64 (.f64 x #s(literal 2 binary64)) (neg.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64))
(.f64 (/.f64 (.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) x)
(.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 0 binary64)))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 0 binary64)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 x (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal 0 binary64))) (.f64 x #s(literal 2 binary64)))
(neg.f64 (*.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal 0 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (*.f64 x x))))
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal 0 binary64)))
(/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (neg.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal 0 binary64))))
(/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 0 binary64))))
(/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 0 binary64))))
(/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 0 binary64))))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (*.f64 x #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) x)
(/.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 x #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal -2 binary64) (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) x)
(/.f64 (*.f64 (sqrt.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal 2 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) x)
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal -2 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) x)
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))
(*.f64 x #s(literal 2 binary64))
(*.f64 x #s(literal -2 binary64))
(*.f64 #s(literal 2 binary64) x)
(.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64)))
(.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -2 binary64) x)
(.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 0 binary64))))
(.f64 (.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 #s(literal 1 binary64) x))

simplify305.0ms (2.1%)

Memory

25.5MiB live, 257.0MiB allocated

Algorithm

1×	egg-herbie

Rules

3 976×	`lower-fma.f64`
3 976×	`lower-fma.f32`
1 656×	`lower-*.f64`
1 656×	`lower-*.f32`
898×	`exp-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	448
1	102	448
2	207	436
3	323	412
4	493	412
5	659	412
6	985	412
7	1356	412
8	1664	412
9	1930	412
10	2086	412
11	2229	412
12	2470	412
13	2974	412
14	3670	412
15	4941	412
16	6461	412
17	7017	412
18	7460	412
0	8022	412

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

eval153.0ms (1%)

Memory: 10.4MiB live, 282.7MiB allocated
Compiler: Compiled 17 872 to 1 500 computations (91.6% saved)

prune93.0ms (0.6%)

Memory

-8.8MiB live, 183.6MiB allocated

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	1 426	1	1 427
Fresh	0	0	0
Picked	1	2	3
Done	0	6	6
Total	1 427	9	1 436

Accuracy

100.0%

Counts

1 436 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.5%	(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
✓	51.8%	(/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
✓	49.4%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))
	48.3%	(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))) #s(literal -1 binary64)) (sqrt.f64 x))
✓	48.5%	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
✓	49.4%	(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
✓	53.7%	(sqrt.f64 (.f64 x (.f64 x #s(literal 2 binary64))))
✓	5.4%	(sqrt.f64 #s(literal 2 binary64))
✓	51.7%	(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 167 to 94 computations (43.7% saved)

regimes28.0ms (0.2%)

Memory

-0.8MiB live, 40.1MiB allocated

Counts

15 → 2

Calls

Call 1

Inputs
(sqrt.f64 #s(literal 2 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (.f64 x (.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)
(/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))) #s(literal -1 binary64)) (sqrt.f64 x))
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))))

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

Calls

4 calls:

13.0ms	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
5.0ms	x
5.0ms	(pow.f64 x #s(literal 2 binary64))
4.0ms	(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
99.5%	2	`x`
76.0%	3	`(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))`
76.0%	3	`(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))`
76.0%	3	`(pow.f64 x #s(literal 2 binary64))`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes5.0ms (0%)

Memory

12.2MiB live, 12.2MiB allocated

Counts

13 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.4%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Memory

-29.8MiB live, 8.4MiB allocated

Counts

6 → 2

Calls

Call 1

Inputs
(sqrt.f64 #s(literal 2 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (.f64 x (.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)
(/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64)))

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.3%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory

7.4MiB live, 7.4MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.2%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory

5.7MiB live, 5.7MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.2%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0%)

Memory

13.3MiB live, 13.3MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	x
2.0ms	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
1.0ms	(pow.f64 x #s(literal 2 binary64))
1.0ms	(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
49.4%	1	`(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))`
49.4%	1	`(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))`
49.4%	1	`(pow.f64 x #s(literal 2 binary64))`
51.4%	2	`x`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes5.0ms (0%)

Memory

12.1MiB live, 12.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(sqrt.f64 #s(literal 2 binary64))

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

Calls

4 calls:

1.0ms	x
1.0ms	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
1.0ms	(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
1.0ms	(pow.f64 x #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
5.4%	1	`(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))`
5.4%	1	`(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))`
5.4%	1	`(pow.f64 x #s(literal 2 binary64))`
5.4%	1	`x`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch16.0ms (0.1%)

Memory

-9.6MiB live, 27.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	-5.51809027422113e-309	5.81059992396818e-303

Samples

9.0ms

144×

valid

Compiler

Compiled 181 to 153 computations (15.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-pow2: 4.0ms (64.5% of total)

ival-mult: 1.0ms (16.1% of total)

ival-sqrt: 1.0ms (16.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-5.51809027422113e-309	5.81059992396818e-303

Compiler

Compiled 154 to 126 computations (18.2% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-5.51809027422113e-309	5.81059992396818e-303

Compiler

Compiled 154 to 126 computations (18.2% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-5.51809027422113e-309	5.81059992396818e-303

Compiler

Compiled 145 to 117 computations (19.3% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-5.51809027422113e-309	5.81059992396818e-303

Compiler

Compiled 127 to 108 computations (15% saved)

bsearch12.0ms (0.1%)

Memory

-19.3MiB live, 19.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	-4.549733391404562e-203	-3.946615594662973e-206

Samples

7.0ms

128×

valid

Compiler

Compiled 90 to 81 computations (10% saved)

Precisions

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

ival-mult: 1.0ms (31.7% of total)

ival-sqrt: 1.0ms (31.7% of total)

ival-pow2: 1.0ms (31.7% of total)

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

exact: 0.0ms (0% of total)

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

simplify8.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	91
1	43	91
2	52	91
3	57	91
4	59	91

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (neg.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (neg.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -7229475734293037/180736893357325919804742965901096183254486650358500961579737723575212405143116703993975930943694719806137463391890175780999890999416217020648099397663164550811570949854893831716648452639533025774320471006645409943407034368 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 #s(literal 2 binary64))

Outputs
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (neg.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (neg.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (neg.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -7229475734293037/180736893357325919804742965901096183254486650358500961579737723575212405143116703993975930943694719806137463391890175780999890999416217020648099397663164550811570949854893831716648452639533025774320471006645409943407034368 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 #s(literal 2 binary64))

soundness9.4s (63.7%)

Memory

-3.5MiB live, 366.0MiB allocated

Rules

3 436×	`lower-*.f32`
3 426×	`lower-*.f64`
2 440×	`lower-fma.f64`
2 440×	`lower-fma.f32`
2 310×	`lower-*.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	5	14
0	8	14
1	22	12
2	57	12
3	186	12
4	765	4
5	6179	4
0	9030	4
0	8	148
1	15	148
2	32	148
3	38	148
4	42	148
5	54	148
6	66	148
7	77	148
8	97	148
9	102	148
0	102	148
0	17	62
0	30	58
1	81	58
2	310	52
3	1502	45
0	8144	45
0	8	25
0	14	25
1	33	25
2	79	25
3	324	25
4	3144	22
0	8423	22

Stop Event

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

Compiler

Compiled 191 to 112 computations (41.4% saved)

preprocess129.0ms (0.9%)

Memory: 13.1MiB live, 89.1MiB allocated
Compiler: Compiled 198 to 68 computations (65.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	7	15
1	15	13
2	34	13
3	123	13
4	246	13
5	270	13
6	280	13
0	5	6
0	8	6
1	10	6
2	14	6
3	16	6
0	16	6

Iter	Nodes	Cost
0	8	148
1	15	148
2	32	148
3	38	148
4	42	148
5	54	148
6	66	148
7	77	148
8	97	148
9	102	148
0	102	148

Iter	Nodes	Cost
0	9	256
1	17	256
2	32	256
3	36	256
4	40	256
5	52	256
6	64	256
7	75	256
8	95	256
9	100	256
0	100	256

Iter	Nodes	Cost
0	15	51
0	24	51
1	33	49
2	39	49
3	50	49
4	62	49
5	72	49
6	102	49
7	114	49
8	114	49
9	120	49
10	128	49
0	128	49

Iter	Nodes	Cost
0	7	15
1	15	13
2	34	13
3	123	13
4	246	13
5	270	13
6	280	13
0	5	6
0	8	6
1	10	6
2	14	6
3	16	6
0	16	6

Iter	Nodes	Cost
0	8	148
1	15	148
2	32	148
3	38	148
4	42	148
5	54	148
6	66	148
7	77	148
8	97	148
9	102	148
0	102	148

Iter	Nodes	Cost
0	9	256
1	17	256
2	32	256
3	36	256
4	40	256
5	52	256
6	64	256
7	75	256
8	95	256
9	100	256
0	100	256

Iter	Nodes	Cost
0	15	51
0	24	51
1	33	49
2	39	49
3	50	49
4	62	49
5	72	49
6	102	49
7	114	49
8	114	49
9	120	49
10	128	49
0	128	49

analyze0.0ms (0%)

sample866.0ms (5.9%)

preprocess40.0ms (0.3%)

explain75.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize22.0ms (0.1%)

series3.0ms (0%)

rewrite192.0ms (1.3%)

simplify8.0ms (0.1%)

eval14.0ms (0.1%)

prune7.0ms (0%)

simplify7.0ms (0%)

localize35.0ms (0.2%)

series2.0ms (0%)

rewrite254.0ms (1.7%)

simplify17.0ms (0.1%)

eval168.0ms (1.1%)

prune115.0ms (0.8%)

simplify42.0ms (0.3%)

localize75.0ms (0.5%)

series7.0ms (0.1%)

rewrite375.0ms (2.5%)

simplify438.0ms (3%)

eval957.0ms (6.5%)

prune349.0ms (2.4%)

simplify10.0ms (0.1%)

localize48.0ms (0.3%)

series183.0ms (1.2%)

rewrite243.0ms (1.7%)

simplify305.0ms (2.1%)

eval153.0ms (1%)

prune93.0ms (0.6%)

regimes28.0ms (0.2%)

regimes5.0ms (0%)

regimes5.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes7.0ms (0%)

regimes5.0ms (0%)

bsearch16.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch12.0ms (0.1%)

simplify8.0ms (0.1%)

soundness9.4s (63.7%)

preprocess129.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	15
1	15	13
2	34	13
3	123	13
4	246	13
5	270	13
6	280	13
0	5	6
0	8	6
1	10	6
2	14	6
3	16	6
0	16	6

Iter	Nodes	Cost
0	8	148
1	15	148
2	32	148
3	38	148
4	42	148
5	54	148
6	66	148
7	77	148
8	97	148
9	102	148
0	102	148

Iter	Nodes	Cost
0	9	256
1	17	256
2	32	256
3	36	256
4	40	256
5	52	256
6	64	256
7	75	256
8	95	256
9	100	256
0	100	256

Iter	Nodes	Cost
0	15	51
0	24	51
1	33	49
2	39	49
3	50	49
4	62	49
5	72	49
6	102	49
7	114	49
8	114	49
9	120	49
10	128	49
0	128	49