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)

sample836.0ms (5.8%)

Memory

13.8MiB live, 728.3MiB allocated

Samples

378.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 211.0ms

ival-pow2: 93.0ms (44.1% of total)

ival-sqrt: 57.0ms (27% of total)

ival-mult: 48.0ms (22.8% of total)

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

exact: 4.0ms (1.9% of total)

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

Bogosity

preprocess26.0ms (0.2%)

Memory

-13.5MiB live, 24.8MiB 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)))

explain72.0ms (0.5%)

Memory

-13.2MiB live, 107.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
114	-	3	(-7.11307426877938e-157)	`(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))))`	uflow-rescue	57	0
↳	`(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))`	underflow	57
↳	`(pow.f64 x #s(literal 2 binary64))`	underflow	57
`sqrt.f64`	`(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))`	oflow-rescue	54	0
↳	`(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))`	overflow	54
↳	`(pow.f64 x #s(literal 2 binary64))`	overflow	54

Confusion

	Predicted +	Predicted -
+	111	3
-	0	142

Precision

1.0

Recall

0.9736842105263158

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	111	0	3
-	0	0	142

Precision?

1.0

Recall?

0.9736842105263158

Freqs

test

number	freq
0	145
1	111

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

23.0ms

512×

valid

Compiler

Compiled 50 to 24 computations (52% saved)

Precisions

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

ival-pow2: 5.0ms (40.2% of total)

ival-mult: 3.0ms (24.1% of total)

ival-sqrt: 3.0ms (24.1% 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.3%	(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

7.3MiB live, 7.3MiB 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

localize20.0ms (0.1%)

Memory

-3.6MiB live, 33.9MiB 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	59.3%	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))

Samples

11.0ms

256×

valid

Compiler

Compiled 18 to 7 computations (61.1% saved)

Precisions

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

ival-pow2: 3.0ms (47.5% of total)

ival-sqrt: 2.0ms (31.7% of total)

ival-mult: 1.0ms (15.8% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0%)

Memory

5.9MiB live, 5.9MiB 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)))
1.0ms	x	@	inf	(pow x 2)
1.0ms	x	@	0	(* 2 (pow x 2))
0.0ms	x	@	inf	(* 2 (pow x 2))
0.0ms	x	@	inf	(sqrt (* 2 (pow x 2)))

rewrite158.0ms (1.1%)

Memory

32.2MiB live, 226.8MiB 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)

simplify9.0ms (0.1%)

Memory

-26.1MiB live, 10.7MiB 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)))

eval9.0ms (0.1%)

Memory: 22.8MiB live, 22.8MiB allocated
Compiler: Compiled 563 to 120 computations (78.7% saved)

prune13.0ms (0.1%)

Memory

-31.4MiB live, 21.4MiB 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

99.7%

Counts

83 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.5%	(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
▶	59.3%	(sqrt.f64 (.f64 x (.f64 x #s(literal 2 binary64))))
▶	5.6%	(sqrt.f64 #s(literal 2 binary64))
▶	48.1%	(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 21 to 17 computations (19% saved)

simplify7.0ms (0%)

Memory

15.2MiB live, 15.2MiB 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)

localize32.0ms (0.2%)

Memory

-13.9MiB live, 63.2MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	99.3%	(*.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	59.3%	(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	99.3%	(*.f64 x (sqrt.f64 #s(literal 2 binary64)))

Samples

19.0ms

256×

valid

Compiler

Compiled 42 to 10 computations (76.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 4.0ms (41.3% of total)

ival-sqrt: 3.0ms (31% of total)

ival-neg: 1.0ms (10.3% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0%)

Memory

10.3MiB live, 10.3MiB 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	(neg (* x (sqrt 2)))
0.0ms	x	@	-inf	(* x (sqrt 2))
0.0ms	x	@	0	(neg (* x (sqrt 2)))
0.0ms	x	@	-inf	(* x 2)
0.0ms	x	@	inf	(* x (* x 2))

rewrite245.0ms (1.7%)

Memory

6.9MiB live, 245.0MiB 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)))

simplify16.0ms (0.1%)

Memory

-7.7MiB live, 29.8MiB 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))

eval165.0ms (1.1%)

Memory: 29.7MiB live, 376.9MiB allocated
Compiler: Compiled 19 456 to 1 238 computations (93.6% saved)

prune150.0ms (1%)

Memory

7.1MiB live, 246.0MiB allocated

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	1 459	5	1 464
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	1 459	9	1 468

Accuracy

100.0%

Counts

1 468 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.1%	(/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
▶	53.6%	(.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))))
▶	53.5%	(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)
✓	53.5%	(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
✓	59.3%	(sqrt.f64 (.f64 x (.f64 x #s(literal 2 binary64))))
✓	5.6%	(sqrt.f64 #s(literal 2 binary64))
▶	53.6%	(neg.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
▶	48.0%	(neg.f64 (.f64 (/.f64 (.f64 x #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 x (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))))
✓	48.1%	(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 119 to 85 computations (28.6% saved)

simplify351.0ms (2.4%)

Memory

-44.2MiB live, 403.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (*.f64 x #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
✓	cost-diff	128	(neg.f64 (.f64 (/.f64 (.f64 x #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 x (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))))
✓	cost-diff	320	(/.f64 x (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
✓	cost-diff	13312	(.f64 (/.f64 (.f64 x #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 x (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))))
✓	cost-diff	0	(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
✓	cost-diff	0	(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
✓	cost-diff	12608	(.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))))
✓	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	(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)))
✓	cost-diff	128	(neg.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64))))

Rules

9 484×	`lower-fma.f64`
9 484×	`lower-fma.f32`
2 552×	`lower-*.f32`
2 540×	`lower-*.f64`
1 564×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	128
0	32	111
1	65	106
2	169	102
3	540	101
4	2257	101
5	4840	101
6	6501	101
7	7059	101
8	7155	101
9	7240	101
10	7320	101
11	7952	101
0	8130	101

Stop Event

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

Calls

Call 1

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

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

localize80.0ms (0.6%)

Memory

15.7MiB live, 95.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(/.f64 (*.f64 x #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
✓	accuracy	99.7%	(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
✓	accuracy	99.5%	(.f64 (/.f64 (.f64 x #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 x (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))))
✓	accuracy	99.4%	(/.f64 x (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
✓	accuracy	100.0%	(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
✓	accuracy	99.7%	(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
✓	accuracy	99.5%	(.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))))
✓	accuracy	100.0%	(*.f64 x #s(literal -2 binary64))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	99.4%	(/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	99.3%	(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)
✓	accuracy	98.4%	(/.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	100.0%	(neg.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
✓	accuracy	99.4%	(/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64)))

Samples

53.0ms

256×

valid

Compiler

Compiled 130 to 20 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 25.0ms (62.8% of total)

ival-div: 6.0ms (15.1% of total)

ival-pow: 3.0ms (7.5% of total)

ival-sqrt: 2.0ms (5% of total)

ival-neg: 2.0ms (5% of total)

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

exact: 0.0ms (0% of total)

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

series136.0ms (0.9%)

Memory

13.9MiB live, 285.3MiB allocated

Counts

13 → 120

Calls

Call 1

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

Calls

30 calls:

Time	Variable		Point	Expression
44.0ms	x	@	0	(* x (pow 2 1/4))
15.0ms	x	@	0	(/ x (* x (pow 2 1/4)))
13.0ms	x	@	0	(/ (* x 2) (pow 2 1/4))
13.0ms	x	@	inf	(* x (pow 2 1/4))
11.0ms	x	@	-inf	(/ (* x 2) (pow 2 1/4))

rewrite384.0ms (2.7%)

Memory

-13.5MiB live, 512.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 872×	`lower-*.f32`
2 860×	`lower-*.f64`
2 520×	`lower-/.f32`
2 512×	`lower-/.f64`
1 804×	`lower-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	90
0	32	71
1	101	61
2	611	49
3	4599	47
0	8393	47

Stop Event

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

Counts

13 → 4 019

Calls

Call 1

Inputs
(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))
(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)))
(.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))))
(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 #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 x (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))))
(/.f64 x (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(neg.f64 (.f64 (/.f64 (.f64 x #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 x (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))))
(/.f64 (*.f64 x #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 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))))
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (fma.f64 (neg.f64 (log.f64 (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 3/4 binary64))))) #s(literal -1 binary64) (.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 1/2 binary64)))))
(exp.f64 (fma.f64 (neg.f64 (log.f64 (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 3/4 binary64))))) #s(literal -1 binary64) (.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64))) #s(literal -1 binary64))))
(exp.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 1/2 binary64)) (.f64 (neg.f64 (log.f64 (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 3/4 binary64))))) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64))) #s(literal -1 binary64) (.f64 (neg.f64 (log.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 3/4 binary64))))) #s(literal -1 binary64))))
(exp.f64 (-.f64 (.f64 (neg.f64 (log.f64 (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 3/4 binary64))))) #s(literal -1 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)))))
(-.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 x (.f64 x #s(literal 2 binary64)))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
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simplify42.0ms (0.3%)

Memory

-8.6MiB live, 108.6MiB allocated

Algorithm

1×	egg-herbie

Rules

88×	`lower-*.f64`
88×	`lower-*.f32`
36×	`*-commutative`
16×	`associate-r`
16×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	624
1	37	624
2	59	624
3	65	624
4	66	624
0	66	624

Stop Event

1×	iter limit
1×	saturated

Counts

120 → 120

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

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

eval951.0ms (6.6%)

Memory: 88.7MiB live, 1 269.9MiB allocated
Compiler: Compiled 69 915 to 3 686 computations (94.7% saved)

prune324.0ms (2.3%)

Memory

-19.6MiB live, 621.3MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	5 174	2	5 176
Fresh	0	0	0
Picked	3	2	5
Done	0	4	4
Total	5 177	8	5 185

Accuracy

100.0%

Counts

5 185 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.6%	(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
✓	48.1%	(/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
✓	53.6%	(.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))))
▶	48.2%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (neg.f64 (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)))))
✓	53.5%	(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
✓	59.3%	(sqrt.f64 (.f64 x (.f64 x #s(literal 2 binary64))))
✓	5.6%	(sqrt.f64 #s(literal 2 binary64))
✓	48.1%	(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 56 to 43 computations (23.2% saved)

simplify12.0ms (0.1%)

Memory

20.8MiB live, 20.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Program
✓	cost-diff	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	(*.f64 x #s(literal 2 binary64))
✓	cost-diff	(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)))
✓	cost-diff	(neg.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64))))
✓	cost-diff	(pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))
✓	cost-diff	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (neg.f64 (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)))))

Rules

112×	`lower-fma.f64`
112×	`lower-fma.f32`
112×	`lower-*.f32`
106×	`lower-*.f64`
68×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	44
0	20	44
1	35	44
2	67	44
3	124	44
4	156	44
5	181	44
6	208	44
7	248	44
8	266	44
9	267	44
0	267	44

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize41.0ms (0.3%)

Memory

-21.5MiB live, 56.8MiB allocated

Localize:

Found 7 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	99.4%	(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))
✓	accuracy	100.0%	(neg.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64))))
✓	accuracy	99.8%	(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)))
✓	accuracy	99.5%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (neg.f64 (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)))))

Samples

29.0ms

256×

valid

Compiler

Compiled 46 to 14 computations (69.6% saved)

Precisions

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

ival-pow: 6.0ms (36.2% of total)

ival-mult: 5.0ms (30.2% of total)

ival-div: 2.0ms (12.1% of total)

ival-sqrt: 2.0ms (12.1% of total)

ival-neg: 1.0ms (6% of total)

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

exact: 0.0ms (0% of total)

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

series142.0ms (1%)

Memory

-27.8MiB live, 184.5MiB allocated

Counts

7 → 60

Calls

Call 1

Inputs
#<alt (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (neg.f64 (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)))))>
#<alt (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))>
#<alt (neg.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64))))>
#<alt (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)))>
#<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))>

Outputs
#<alt (* -1 (* (pow 16 1/8) x))>
#<alt (* -1 (* (pow 16 1/8) x))>
#<alt (* -1 (* (pow 16 1/8) x))>
#<alt (* -1 (* (pow 16 1/8) x))>
#<alt (* -1 (* (pow 16 1/8) x))>
#<alt (* -1 (* (pow 16 1/8) x))>
#<alt (* -1 (* (pow 16 1/8) x))>
#<alt (* -1 (* (pow 16 1/8) x))>
#<alt (* -1 (* (pow 16 1/8) x))>
#<alt (* -1 (* (pow 16 1/8) x))>
#<alt (* -1 (* (pow 16 1/8) x))>
#<alt (* -1 (* (pow 16 1/8) x))>
#<alt (* -1 (* (pow 8 1/8) x))>
#<alt (* -1 (* (pow 8 1/8) x))>
#<alt (* -1 (* (pow 8 1/8) x))>
#<alt (* -1 (* (pow 8 1/8) x))>
#<alt (* -1 (* (pow 8 1/8) x))>
#<alt (* -1 (* (pow 8 1/8) x))>
#<alt (* -1 (* (pow 8 1/8) x))>
#<alt (* -1 (* (pow 8 1/8) x))>
#<alt (* -1 (* (pow 8 1/8) x))>
#<alt (* -1 (* (pow 8 1/8) x))>
#<alt (* -1 (* (pow 8 1/8) x))>
#<alt (* -1 (* (pow 8 1/8) x))>
#<alt (* (pow 8 1/8) x)>
#<alt (* (pow 8 1/8) x)>
#<alt (* (pow 8 1/8) x)>
#<alt (* (pow 8 1/8) x)>
#<alt (* (pow 8 1/8) x)>
#<alt (* (pow 8 1/8) x)>
#<alt (* (pow 8 1/8) x)>
#<alt (* (pow 8 1/8) x)>
#<alt (* (pow 8 1/8) x)>
#<alt (* (pow 8 1/8) x)>
#<alt (* (pow 8 1/8) x)>
#<alt (* (pow 8 1/8) 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

15 calls:

Time	Variable		Point	Expression
60.0ms	x	@	0	(* (pow 2 1/8) (neg (* x (pow 2 3/8))))
17.0ms	x	@	inf	(neg (* x (pow 2 3/8)))
16.0ms	x	@	0	(neg (* x (pow 2 3/8)))
11.0ms	x	@	0	(* x (pow 2 3/8))
10.0ms	x	@	-inf	(* (pow 2 1/8) (neg (* x (pow 2 3/8))))

rewrite227.0ms (1.6%)

Memory

10.4MiB live, 402.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 526×	`lower-*.f32`
4 520×	`lower-*.f64`
3 042×	`lower-/.f32`
3 040×	`lower-/.f64`
2 622×	`lower-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	35
0	20	35
1	58	35
2	202	30
3	1027	28
0	8455	28

Stop Event

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

Counts

7 → 1 307

Calls

Call 1

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

Outputs
(+.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x)))
(+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x)) #s(literal 0 binary64))
(+.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x)) (.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) #s(literal 0 binary64)))
(+.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x)) (.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))))
(+.f64 (.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) #s(literal 0 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x)))
(+.f64 (.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) x) #s(literal 0 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x)))
(+.f64 (.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x)))
(+.f64 (.f64 #s(literal 0 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x)))
(-.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (.f64 x x))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 x (sqrt.f64 #s(literal 2 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 x (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64))) (*.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 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))) (*.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (neg.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (neg.f64 (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)))) (.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) #s(literal 0 binary64)))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (neg.f64 (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)))) (.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))))
(fma.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) #s(literal 0 binary64)))
(fma.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)) (neg.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) x)) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)) (neg.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) x)) (.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) #s(literal 0 binary64)))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)) (neg.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) x)) (.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))))
(fma.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64))) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) #s(literal 0 binary64))
(fma.f64 (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64))) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) #s(literal 0 binary64)))
(fma.f64 (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64))) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))))
(fma.f64 (neg.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))))
(fma.f64 (.f64 #s(literal 2 binary64) x) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 #s(literal 2 binary64) x) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) #s(literal 0 binary64)))
(fma.f64 (.f64 #s(literal 2 binary64) x) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x) (*.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x) (*.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 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) (.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) #s(literal 0 binary64)))
(fma.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64) (.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 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)) (*.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 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)) (*.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) x #s(literal 0 binary64))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) x (*.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) x (*.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x)) (.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x)) (.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))))
(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 x #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 x #s(literal -2 binary64)) (*.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) #s(literal 0 binary64)))
(fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 x #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))))
(fma.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x)))
(fma.f64 #s(literal 0 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) x) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x)))
(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 x (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/16 binary64)) (neg.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 5/16 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/16 binary64)) (neg.f64 (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 5/16 binary64)))) (.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) #s(literal 0 binary64)))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/16 binary64)) (neg.f64 (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 5/16 binary64)))) (.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/16 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 5/16 binary64)) (neg.f64 x)) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/16 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 5/16 binary64)) (neg.f64 x)) (.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) #s(literal 0 binary64)))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/16 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 5/16 binary64)) (neg.f64 x)) (.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/16 binary64)) (*.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 5/16 binary64))) x) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/16 binary64)) (.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 5/16 binary64))) x) (.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) #s(literal 0 binary64)))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/16 binary64)) (.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 5/16 binary64))) x) (.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/16 binary64)) (.f64 (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 5/16 binary64))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/16 binary64)) (.f64 (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 5/16 binary64))) #s(literal -1 binary64)) (*.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) #s(literal 0 binary64)))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/16 binary64)) (.f64 (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 5/16 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)) (neg.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 7/16 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)) (neg.f64 (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 7/16 binary64)))) (.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) #s(literal 0 binary64)))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)) (neg.f64 (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 7/16 binary64)))) (.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))))
(fma.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) #s(literal 0 binary64)))
(fma.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))))
(fma.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64))) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) x) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64))) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) x) (.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) #s(literal 0 binary64)))
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(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/32 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/32 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/32 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/32 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 7/16 binary64))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/32 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/32 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 5/16 binary64))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/32 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/32 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/32 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 9/32 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))))
(*.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64))))
(*.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/16 binary64))) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 5/16 binary64))))
(*.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/16 binary64))) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 5/16 binary64)) #s(literal -1 binary64)))
(.f64 (.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 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 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 #s(literal 2 binary64) #s(literal -1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (neg.f64 (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 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal -1 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 #s(literal 2 binary64) #s(literal 7/16 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 7/16 binary64)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 7/16 binary64))) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64))))
(*.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 7/16 binary64))) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 5/16 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/16 binary64)))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 5/16 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/16 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 5/16 binary64)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/16 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 9/32 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/32 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))))
(*.f64 (pow.f64 (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 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/16 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal 5/16 binary64)))
(*.f64 (neg.f64 (neg.f64 (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 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 7/16 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal 1/16 binary64)))
(.f64 (/.f64 #s(literal -2 binary64) (neg.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64))

simplify19.0ms (0.1%)

Memory

-19.4MiB live, 22.8MiB allocated

Algorithm

1×	egg-herbie

Rules

56×	`lower-*.f64`
56×	`lower-fma.f64`
56×	`lower-fma.f32`
56×	`lower-*.f32`
52×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	312
1	29	312
2	53	312
3	61	312
4	67	312
5	88	312
6	109	312
7	125	312
8	154	312
9	163	312
10	164	312
0	164	312

Stop Event

1×	iter limit
1×	saturated

Counts

60 → 60

Calls

Call 1

Inputs
(* -1 (* (pow 16 1/8) x))
(* -1 (* (pow 16 1/8) x))
(* -1 (* (pow 16 1/8) x))
(* -1 (* (pow 16 1/8) x))
(* -1 (* (pow 16 1/8) x))
(* -1 (* (pow 16 1/8) x))
(* -1 (* (pow 16 1/8) x))
(* -1 (* (pow 16 1/8) x))
(* -1 (* (pow 16 1/8) x))
(* -1 (* (pow 16 1/8) x))
(* -1 (* (pow 16 1/8) x))
(* -1 (* (pow 16 1/8) x))
(* -1 (* (pow 8 1/8) x))
(* -1 (* (pow 8 1/8) x))
(* -1 (* (pow 8 1/8) x))
(* -1 (* (pow 8 1/8) x))
(* -1 (* (pow 8 1/8) x))
(* -1 (* (pow 8 1/8) x))
(* -1 (* (pow 8 1/8) x))
(* -1 (* (pow 8 1/8) x))
(* -1 (* (pow 8 1/8) x))
(* -1 (* (pow 8 1/8) x))
(* -1 (* (pow 8 1/8) x))
(* -1 (* (pow 8 1/8) x))
(* (pow 8 1/8) x)
(* (pow 8 1/8) x)
(* (pow 8 1/8) x)
(* (pow 8 1/8) x)
(* (pow 8 1/8) x)
(* (pow 8 1/8) x)
(* (pow 8 1/8) x)
(* (pow 8 1/8) x)
(* (pow 8 1/8) x)
(* (pow 8 1/8) x)
(* (pow 8 1/8) x)
(* (pow 8 1/8) 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
(* -1 (* (pow 16 1/8) x))
(neg.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x))
(* -1 (* (pow 16 1/8) x))
(neg.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x))
(* -1 (* (pow 16 1/8) x))
(neg.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x))
(* -1 (* (pow 16 1/8) x))
(neg.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x))
(* -1 (* (pow 16 1/8) x))
(neg.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x))
(* -1 (* (pow 16 1/8) x))
(neg.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x))
(* -1 (* (pow 16 1/8) x))
(neg.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x))
(* -1 (* (pow 16 1/8) x))
(neg.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x))
(* -1 (* (pow 16 1/8) x))
(neg.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x))
(* -1 (* (pow 16 1/8) x))
(neg.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x))
(* -1 (* (pow 16 1/8) x))
(neg.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x))
(* -1 (* (pow 16 1/8) x))
(neg.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64)) x))
(* -1 (* (pow 8 1/8) x))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)) (neg.f64 x))
(* -1 (* (pow 8 1/8) x))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)) (neg.f64 x))
(* -1 (* (pow 8 1/8) x))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)) (neg.f64 x))
(* -1 (* (pow 8 1/8) x))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)) (neg.f64 x))
(* -1 (* (pow 8 1/8) x))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)) (neg.f64 x))
(* -1 (* (pow 8 1/8) x))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)) (neg.f64 x))
(* -1 (* (pow 8 1/8) x))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)) (neg.f64 x))
(* -1 (* (pow 8 1/8) x))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)) (neg.f64 x))
(* -1 (* (pow 8 1/8) x))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)) (neg.f64 x))
(* -1 (* (pow 8 1/8) x))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)) (neg.f64 x))
(* -1 (* (pow 8 1/8) x))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)) (neg.f64 x))
(* -1 (* (pow 8 1/8) x))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)) (neg.f64 x))
(* (pow 8 1/8) x)
(*.f64 x (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)))
(* (pow 8 1/8) x)
(*.f64 x (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)))
(* (pow 8 1/8) x)
(*.f64 x (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)))
(* (pow 8 1/8) x)
(*.f64 x (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)))
(* (pow 8 1/8) x)
(*.f64 x (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)))
(* (pow 8 1/8) x)
(*.f64 x (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)))
(* (pow 8 1/8) x)
(*.f64 x (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)))
(* (pow 8 1/8) x)
(*.f64 x (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)))
(* (pow 8 1/8) x)
(*.f64 x (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)))
(* (pow 8 1/8) x)
(*.f64 x (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)))
(* (pow 8 1/8) x)
(*.f64 x (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)))
(* (pow 8 1/8) x)
(*.f64 x (pow.f64 #s(literal 8 binary64) #s(literal 1/8 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)
(*.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))

eval199.0ms (1.4%)

Memory: 0.6MiB live, 307.2MiB allocated
Compiler: Compiled 20 474 to 2 600 computations (87.3% saved)

prune161.0ms (1.1%)

Memory

37.9MiB live, 390.3MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	1 366	1	1 367
Fresh	0	0	0
Picked	0	2	2
Done	1	5	6
Total	1 367	8	1 375

Accuracy

100.0%

Counts

1 375 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.5%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x #s(literal -2 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x #s(literal -2 binary64)))))
✓	53.6%	(/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
✓	48.1%	(/.f64 (*.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
✓	48.2%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (neg.f64 (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)))))
✓	53.5%	(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
✓	59.3%	(sqrt.f64 (.f64 x (.f64 x #s(literal 2 binary64))))
✓	5.6%	(sqrt.f64 #s(literal 2 binary64))
✓	48.1%	(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 177 to 89 computations (49.7% saved)

regimes19.0ms (0.1%)

Memory

-6.1MiB live, 31.1MiB 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 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x #s(literal -2 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x #s(literal -2 binary64)))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(.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 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (neg.f64 (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64)))))
(neg.f64 (.f64 (/.f64 (.f64 x #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 x (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))))

Outputs

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

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

Calls

4 calls:

6.0ms	(pow.f64 x #s(literal 2 binary64))
4.0ms	x
4.0ms	(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
4.0ms	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))

Results

Accuracy	Segments	Branch
99.5%	2	`x`
80.8%	3	`(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))`
80.8%	3	`(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))`
80.8%	3	`(pow.f64 x #s(literal 2 binary64))`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes4.0ms (0%)

Memory

7.5MiB live, 7.5MiB allocated

Counts

11 → 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 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x #s(literal -2 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x #s(literal -2 binary64)))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(.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))))

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)

regimes3.0ms (0%)

Memory

5.4MiB live, 5.4MiB 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 x (sqrt.f64 #s(literal 2 binary64)))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.3%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes25.0ms (0.2%)

Memory

-32.5MiB live, 5.1MiB 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 x (sqrt.f64 #s(literal 2 binary64)))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.3%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0%)

Memory

12.4MiB live, 12.4MiB 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
1.0ms	(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
1.0ms	(pow.f64 x #s(literal 2 binary64))
1.0ms	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))

Results

Accuracy	Segments	Branch
53.5%	1	`(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))`
53.5%	1	`(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))`
53.5%	1	`(pow.f64 x #s(literal 2 binary64))`
55.3%	2	`x`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes5.0ms (0%)

Memory

7.7MiB live, 7.7MiB 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	(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
5.6%	1	`(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))`
5.6%	1	`(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))`
5.6%	1	`(pow.f64 x #s(literal 2 binary64))`
5.6%	1	`x`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch10.0ms (0.1%)

Memory

5.7MiB live, 5.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	-2.897770144345041e-308	1.6357353678144262e-307

Samples

4.0ms

112×

valid

Compiler

Compiled 150 to 121 computations (19.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-mult: 1.0ms (40.2% of total)

ival-sqrt: 1.0ms (40.2% of total)

ival-pow2: 1.0ms (40.2% 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

0.7MiB live, 0.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-2.897770144345041e-308	1.6357353678144262e-307

Compiler

Compiled 122 to 100 computations (18% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-2.897770144345041e-308	1.6357353678144262e-307

Compiler

Compiled 108 to 93 computations (13.9% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	-2.897770144345041e-308	1.6357353678144262e-307

Compiler

Compiled 101 to 86 computations (14.9% saved)

bsearch12.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	-5.201945387686553e-204	-1.173702054644167e-212

Samples

6.0ms

144×

valid

Compiler

Compiled 100 to 90 computations (10% saved)

Precisions

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

ival-mult: 1.0ms (30.5% of total)

ival-sqrt: 1.0ms (30.5% of total)

ival-pow2: 1.0ms (30.5% of total)

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

exact: 0.0ms (0% of total)

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

simplify25.0ms (0.2%)

Memory

-52.1MiB live, 7.8MiB allocated

Algorithm

1×	egg-herbie

Rules

26×	`*-commutative_binary64`
14×	`+-commutative_binary64`
14×	`sub-neg_binary64`
14×	`neg-sub0_binary64`
14×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	75
1	46	75
2	68	75
3	81	75
4	87	75
5	88	75

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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 3/8 binary64))))) (/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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 -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 (.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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 -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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 3/8 binary64))))) (/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (.f64 (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 3/8 binary64))) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))) (/.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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 -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 (.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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 (65.3%)

Memory

28.6MiB live, 380.3MiB allocated

Rules

2 872×	`lower-*.f32`
2 860×	`lower-*.f64`
2 520×	`lower-/.f32`
2 512×	`lower-/.f64`
2 440×	`lower-fma.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	18	90
0	32	71
1	101	61
2	611	49
3	4599	47
0	8393	47
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	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×	saturated
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 159 to 95 computations (40.3% saved)

preprocess40.0ms (0.3%)

Memory: 18.8MiB live, 92.1MiB allocated
Compiler: Compiled 166 to 62 computations (62.7% 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	12	44
0	20	44
1	35	44
2	67	44
3	124	44
4	156	44
5	181	44
6	208	44
7	248	44
8	266	44
9	267	44
0	267	44

Iter	Nodes	Cost
0	16	312
1	29	312
2	53	312
3	61	312
4	67	312
5	88	312
6	109	312
7	125	312
8	154	312
9	163	312
10	164	312
0	164	312

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	12	44
0	20	44
1	35	44
2	67	44
3	124	44
4	156	44
5	181	44
6	208	44
7	248	44
8	266	44
9	267	44
0	267	44

Iter	Nodes	Cost
0	16	312
1	29	312
2	53	312
3	61	312
4	67	312
5	88	312
6	109	312
7	125	312
8	154	312
9	163	312
10	164	312
0	164	312

analyze0.0ms (0%)

sample836.0ms (5.8%)

preprocess26.0ms (0.2%)

explain72.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize20.0ms (0.1%)

series4.0ms (0%)

rewrite158.0ms (1.1%)

simplify9.0ms (0.1%)

eval9.0ms (0.1%)

prune13.0ms (0.1%)

simplify7.0ms (0%)

localize32.0ms (0.2%)

series4.0ms (0%)

rewrite245.0ms (1.7%)

simplify16.0ms (0.1%)

eval165.0ms (1.1%)

prune150.0ms (1%)

simplify351.0ms (2.4%)

localize80.0ms (0.6%)

series136.0ms (0.9%)

rewrite384.0ms (2.7%)

simplify42.0ms (0.3%)

eval951.0ms (6.6%)

prune324.0ms (2.3%)

simplify12.0ms (0.1%)

localize41.0ms (0.3%)

series142.0ms (1%)

rewrite227.0ms (1.6%)

simplify19.0ms (0.1%)

eval199.0ms (1.4%)

prune161.0ms (1.1%)

regimes19.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes25.0ms (0.2%)

regimes6.0ms (0%)

regimes5.0ms (0%)

bsearch10.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch12.0ms (0.1%)

simplify25.0ms (0.2%)

soundness9.4s (65.3%)

preprocess40.0ms (0.3%)

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	12	44
0	20	44
1	35	44
2	67	44
3	124	44
4	156	44
5	181	44
6	208	44
7	248	44
8	266	44
9	267	44
0	267	44

Iter	Nodes	Cost
0	16	312
1	29	312
2	53	312
3	61	312
4	67	312
5	88	312
6	109	312
7	125	312
8	154	312
9	163	312
10	164	312
0	164	312