Metrics for sqrt C (should all be same)

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample520.0ms (8.5%)

Memory

14.8MiB live, 866.2MiB allocated

Samples

351.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 182.0ms

ival-mult: 113.0ms (62.1% of total)

ival-sqrt: 57.0ms (31.3% of total)

ival-true: 5.0ms (2.7% of total)

exact: 4.0ms (2.2% of total)

ival-assert: 3.0ms (1.6% of total)

Bogosity

preprocess14.0ms (0.2%)

Memory

22.8MiB live, 22.8MiB allocated

Algorithm

2×	egg-herbie

Rules

32×	`associate-r`
28×	`distribute-lft-neg-in`
28×	`associate-l`
24×	`distribute-lft-in`
24×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	25	19
2	64	19
3	139	19
4	202	19
5	219	19
6	221	19
0	5	6
1	8	6
2	11	6
0	11	6

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

Outputs
(sqrt (* 2 (* x x)))
(sqrt (* 2 (* (neg x) (neg x))))
(sqrt (* 2 (* x x)))
(neg (sqrt (* 2 (* (neg x) (neg x)))))
(neg (sqrt (* 2 (* x x))))

Symmetry

(abs x)

explain59.0ms (1%)

Memory

11.9MiB live, 93.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
131	-	6	(7.699464081274725e-161)	`(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(*.f64 x x)`
0	-	0	-	`(.f64 #s(literal 2 binary64) (.f64 x x))`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))`	uflow-rescue	66	0
↳	`(.f64 #s(literal 2 binary64) (.f64 x x))`	underflow	66
↳	`(*.f64 x x)`	underflow	66
`sqrt.f64`	`(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))`	oflow-rescue	59	0
↳	`(.f64 #s(literal 2 binary64) (.f64 x x))`	overflow	59
↳	`(*.f64 x x)`	overflow	59

Confusion

	Predicted +	Predicted -
+	125	6
-	0	125

Precision

1.0

Recall

0.9541984732824428

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	125	0	6
-	0	0	125

Precision?

1.0

Recall?

0.9541984732824428

Freqs

test

number	freq
0	131
1	125

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

21.0ms

512×

valid

Compiler

Compiled 50 to 24 computations (52% saved)

Precisions

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

ival-mult: 6.0ms (56.3% of total)

ival-sqrt: 4.0ms (37.6% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.4%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify5.0ms (0.1%)

Memory

-32.2MiB live, 4.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

14×	`-lowering-.f32`
14×	`-lowering-.f64`
6×	`*-commutative`
2×	`sqrt-lowering-sqrt.f64`
2×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	16
1	8	16
2	11	16
0	11	16

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize17.0ms (0.3%)

Memory

34.2MiB live, 34.2MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (.f64 x x))
✓	accuracy	53.5%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))

Samples

10.0ms

256×

valid

Compiler

Compiled 18 to 7 computations (61.1% saved)

Precisions

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

ival-mult: 3.0ms (57.5% of total)

ival-sqrt: 2.0ms (38.3% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

-33.1MiB live, 5.7MiB allocated

Counts

3 → 36

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(* 2 (* x x))
1.0ms	x	@	inf	(* 2 (* x x))
1.0ms	x	@	0	(sqrt (* 2 (* x x)))
0.0ms	x	@	inf	(sqrt (* 2 (* x x)))
0.0ms	x	@	inf	(* x x)

rewrite295.0ms (4.8%)

Memory

12.7MiB live, 411.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 020×	`accelerator-lowering-fma.f32`
6 020×	`accelerator-lowering-fma.f64`
3 692×	`-lowering-.f32`
3 692×	`-lowering-.f64`
1 894×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	5	14
1	14	13
2	43	12
3	120	12
4	577	12
5	3941	12
0	8197	12

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 226

Calls

Call 1

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

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

simplify9.0ms (0.2%)

Memory

12.5MiB live, 12.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	148
1	15	148
2	32	148
3	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
(* 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))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)

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

eval46.0ms (0.8%)

Memory: 12.4MiB live, 50.5MiB allocated
Compiler: Compiled 3 699 to 733 computations (80.2% saved)

prune60.0ms (1%)

Memory

-17.4MiB live, 62.1MiB allocated

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	251	11	262
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	251	12	263

Accuracy

100.0%

Counts

263 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(.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))))
	99.4%	(.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)))))
	69.3%	(.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
▶	83.5%	(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))))
	69.5%	(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))
▶	69.4%	(.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
	69.4%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
▶	99.5%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
▶	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
▶	53.4%	(sqrt.f64 (.f64 (.f64 x (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
✓	53.4%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))
	29.5%	(sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (.f64 x (.f64 x x))))))

Compiler

Compiled 275 to 183 computations (33.5% saved)

simplify7.0ms (0.1%)

Memory

12.0MiB live, 12.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
✓	cost-diff	0	(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
✓	cost-diff	0	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))
✓	cost-diff	0	(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(*.f64 x (sqrt.f64 x))
✓	cost-diff	0	(sqrt.f64 (*.f64 x (sqrt.f64 x)))
✓	cost-diff	0	(.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(*.f64 x (sqrt.f64 x))
✓	cost-diff	0	(sqrt.f64 (.f64 (.f64 x (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
✓	cost-diff	1600	(.f64 (.f64 x (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) x)
✓	cost-diff	0	(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
✓	cost-diff	0	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))

Rules

104×	`-lowering-.f32`
104×	`-lowering-.f64`
36×	`*-commutative`
34×	`associate-r`
26×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	145
1	37	145
2	61	137
3	68	137
4	77	137
5	82	137
6	84	137
0	84	137

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize83.0ms (1.4%)

Memory

-2.8MiB live, 151.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(*.f64 x (sqrt.f64 (sqrt.f64 x)))
✓	accuracy	99.5%	(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))))
✓	accuracy	99.4%	(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
✓	accuracy	83.3%	(sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))
✓	accuracy	99.8%	(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
✓	accuracy	99.7%	(*.f64 x (sqrt.f64 x))
✓	accuracy	99.5%	(.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
✓	accuracy	68.9%	(sqrt.f64 (*.f64 x (sqrt.f64 x)))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.7%	(*.f64 x (sqrt.f64 x))
✓	accuracy	99.7%	(.f64 (.f64 x (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
✓	accuracy	53.5%	(sqrt.f64 (.f64 (.f64 x (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) x)
✓	accuracy	100.0%	(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.5%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))

Samples

46.0ms

256×

valid

Compiler

Compiled 147 to 23 computations (84.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 18.0ms (56.4% of total)

ival-sqrt: 14.0ms (43.9% of total)

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

exact: 0.0ms (0% of total)

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

series190.0ms (3.1%)

Memory

-8.6MiB live, 384.0MiB allocated

Counts

18 → 204

Calls

Call 1

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

Outputs
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* 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) (pow (sqrt -1) 2)))>
#<alt (* -2 (* (pow x 2) (pow (sqrt -1) 2)))>
#<alt (* -2 (* (pow x 2) (pow (sqrt -1) 2)))>
#<alt (* -2 (* (pow x 2) (pow (sqrt -1) 2)))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))>
#<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 (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))>
#<alt (* (pow (* -1 (pow x 3)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt 2)))>
#<alt (* (pow (* -1 (pow x 3)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt 2)))>
#<alt (* (pow (* -1 (pow x 3)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt 2)))>
#<alt (* (pow (* -1 (pow x 3)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt 2)))>
#<alt (* 2 (pow (* 1 (pow x 3)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 3)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 3)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 3)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 3)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 3)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 3)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 3)) 1/4))>
#<alt (* 2 (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))))>
#<alt (* 2 (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))))>
#<alt (* 2 (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))))>
#<alt (* 2 (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))))>
#<alt (* 2 (sqrt x))>
#<alt (* 2 (sqrt x))>
#<alt (* 2 (sqrt x))>
#<alt (* 2 (sqrt x))>
#<alt (* 2 (sqrt x))>
#<alt (* 2 (sqrt x))>
#<alt (* 2 (sqrt x))>
#<alt (* 2 (sqrt x))>
#<alt (* -2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))>
#<alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))>
#<alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))>
#<alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))>
#<alt (pow (* 1 (pow x 5)) 1/8)>
#<alt (pow (* 1 (pow x 5)) 1/8)>
#<alt (pow (* 1 (pow x 5)) 1/8)>
#<alt (pow (* 1 (pow x 5)) 1/8)>
#<alt (pow (* 1 (pow x 5)) 1/8)>
#<alt (pow (* 1 (pow x 5)) 1/8)>
#<alt (pow (* 1 (pow x 5)) 1/8)>
#<alt (pow (* 1 (pow x 5)) 1/8)>
#<alt (* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))>
#<alt (* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))>
#<alt (* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))>
#<alt (* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))>
#<alt (pow (* 1 (pow x 5)) 1/4)>
#<alt (pow (* 1 (pow x 5)) 1/4)>
#<alt (pow (* 1 (pow x 5)) 1/4)>
#<alt (pow (* 1 (pow x 5)) 1/4)>
#<alt (pow (* 1 (pow x 5)) 1/4)>
#<alt (pow (* 1 (pow x 5)) 1/4)>
#<alt (pow (* 1 (pow x 5)) 1/4)>
#<alt (pow (* 1 (pow x 5)) 1/4)>
#<alt (* -1 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))>
#<alt (* -1 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))>
#<alt (* -1 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))>
#<alt (* -1 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))>

Calls

51 calls:

Time	Variable		Point	Expression
37.0ms	x	@	0	(* (sqrt (* (* 2 (sqrt x)) (sqrt (sqrt x)))) (sqrt (* x (sqrt (sqrt x)))))
35.0ms	x	@	-inf	(sqrt (* x (sqrt (sqrt x))))
27.0ms	x	@	0	(sqrt (* x (sqrt x)))
14.0ms	x	@	-inf	(sqrt (* (* 2 (sqrt x)) (sqrt (sqrt x))))
12.0ms	x	@	-inf	(* (sqrt (* (* 2 (sqrt x)) (sqrt (sqrt x)))) (sqrt (* x (sqrt (sqrt x)))))

rewrite387.0ms (6.3%)

Memory

5.4MiB live, 495.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 952×	`-lowering-.f32`
5 952×	`-lowering-.f64`
5 682×	`accelerator-lowering-fma.f32`
5 682×	`accelerator-lowering-fma.f64`
1 942×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	94
1	56	89
2	189	69
3	741	68
4	3735	68
0	8685	68

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 719

Calls

Call 1

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

Outputs
(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 #s(literal 2 binary64) (*.f64 x x)))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 (.f64 x (sqrt.f64 x)))))))))
(exp.f64 (fma.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/4 binary64) (.f64 (log.f64 (.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1/4 binary64))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 (.f64 x (sqrt.f64 x)))))) (.f64 (log.f64 x) #s(literal 1/8 binary64))))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log.f64 (.f64 #s(literal 2 binary64) (*.f64 x x)))))
(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))
(sqrt.f64 (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x)))))))
(sqrt.f64 (.f64 (.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 x)))
(sqrt.f64 (.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))))
(sqrt.f64 (.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
(sqrt.f64 (.f64 (.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
(sqrt.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (.f64 x (sqrt.f64 x)))) (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
(pow.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 4 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1/8 binary64)) #s(literal 4 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 #s(literal 2 binary64) (.f64 x x))))
(pow.f64 (exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (.f64 #s(literal 2 binary64) (*.f64 x x))))) #s(literal 1/4 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 #s(literal 2 binary64) x)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 (*.f64 x (sqrt.f64 x))))
(.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))))
(.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (.f64 (.f64 x (sqrt.f64 (sqrt.f64 x))) (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))))
(.f64 (sqrt.f64 (sqrt.f64 x)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 (.f64 x (sqrt.f64 (sqrt.f64 x))) (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))))))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (sqrt.f64 x))))) (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))))
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (sqrt.f64 x))))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 (.f64 x (sqrt.f64 x)))))))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (.f64 (.f64 x x) (*.f64 #s(literal 2 binary64) x)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (.f64 x (.f64 x x))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (.f64 x (sqrt.f64 x)) #s(literal 4 binary64)) #s(literal 1/8 binary64)) (pow.f64 (.f64 (.f64 x (.f64 x (sqrt.f64 x))) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (sqrt.f64 x))))) #s(literal 1/4 binary64)))
(.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)))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 (sqrt.f64 x))))))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))) (sqrt.f64 (.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))))
(.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 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x))))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))))))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 (.f64 x (sqrt.f64 x)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))))))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 x (sqrt.f64 (.f64 x (sqrt.f64 x))))))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))
(.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 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))))) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x))))))
(.f64 (pow.f64 (.f64 (.f64 x (.f64 x (sqrt.f64 x))) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (sqrt.f64 x))))) #s(literal 1/4 binary64)) (pow.f64 (.f64 (.f64 x (sqrt.f64 x)) #s(literal 4 binary64)) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (.f64 x x) (.f64 #s(literal 2 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 (.f64 x (sqrt.f64 x))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))))
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 (.f64 x (sqrt.f64 x))))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))))
(.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (.f64 x (.f64 x x))) #s(literal 1/4 binary64)) (pow.f64 (.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (.f64 #s(literal 2 binary64) (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
(.f64 (sqrt.f64 (.f64 (.f64 x (sqrt.f64 (sqrt.f64 x))) (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 x)))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 (.f64 x (sqrt.f64 (sqrt.f64 x))) (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))))) (sqrt.f64 (sqrt.f64 x)))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (.f64 x (sqrt.f64 (.f64 x (sqrt.f64 x))))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 (log.f64 x) #s(literal 1/8 binary64))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 (.f64 x (sqrt.f64 x)))))))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 (.f64 x (sqrt.f64 x)))))))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 (log.f64 x) #s(literal 1/8 binary64))))
(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 #s(literal 2 binary64) x))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (sqrt.f64 x))))) (*.f64 (log.f64 x) #s(literal 1/8 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x))))))))
(exp.f64 (fma.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1/4 binary64) (.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/4 binary64))))
(exp.f64 (fma.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/4 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 1/4 binary64) (.f64 (log.f64 (.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1/4 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log.f64 (.f64 #s(literal 2 binary64) x))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 x (.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)) #s(literal 4 binary64))
(pow.f64 (.f64 (.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) x)))
(pow.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) #s(literal 2 binary64))
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(fabs.f64 (.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))))) (neg.f64 (sqrt.f64 (sqrt.f64 x)))))
(sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))
(pow.f64 x #s(literal 5/8 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 5/4 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 5/2 binary64))
(pow.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 5 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 5/16 binary64))
(pow.f64 (.f64 x (.f64 x (sqrt.f64 x))) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))) #s(literal 4 binary64))
(pow.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 5/32 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 5/4 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 5/4 binary64)) (log.f64 x))
(pow.f64 (exp.f64 (*.f64 #s(literal 5/2 binary64) (log.f64 x))) #s(literal 1/4 binary64))
(*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))))) (pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) #s(literal 5/8 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))))) (sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 x)) #s(literal 5/8 binary64))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))))) (fabs.f64 (pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) #s(literal 5/8 binary64))))
(.f64 (pow.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) #s(literal 5/8 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))))
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 (log.f64 x) #s(literal 1/8 binary64))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 9/8 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 9/8 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 1/8 binary64))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x))))))) (sqrt.f64 (pow.f64 (.f64 x (sqrt.f64 (.f64 x (sqrt.f64 x)))) #s(literal 5/8 binary64))))
(.f64 (sqrt.f64 (pow.f64 (.f64 x (sqrt.f64 x)) #s(literal 5/8 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))))
(.f64 (sqrt.f64 (pow.f64 (.f64 x (sqrt.f64 (sqrt.f64 x))) #s(literal 5/8 binary64))) (sqrt.f64 (pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) #s(literal 5/8 binary64))))
(.f64 (fabs.f64 (pow.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) #s(literal 5/8 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 5/4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal 5/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 5/4 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 5/8 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 5/8 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 5/2 binary64) (log.f64 x)) #s(literal 1/2 binary64)))
(fabs.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))
(fabs.f64 (*.f64 x (neg.f64 (sqrt.f64 (sqrt.f64 x)))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x))) x))
(sqrt.f64 (.f64 x (.f64 x (sqrt.f64 x))))
(pow.f64 x #s(literal 5/4 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 5/2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 5 binary64))
(pow.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 10 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))) #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 5/8 binary64))
(pow.f64 (.f64 x (.f64 x (sqrt.f64 x))) #s(literal 1/2 binary64))
(pow.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 5/16 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 5/2 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 x) (*.f64 (log.f64 x) #s(literal 3/2 binary64))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 (log.f64 x) #s(literal 3/2 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 5/4 binary64)) (log.f64 x))
(*.f64 x (sqrt.f64 (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x (sqrt.f64 x))))
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (sqrt.f64 (sqrt.f64 x)) x)
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x))))) (pow.f64 (*.f64 x (sqrt.f64 x)) #s(literal 5/8 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))))) (pow.f64 (.f64 x (sqrt.f64 (.f64 x (sqrt.f64 x)))) #s(literal 5/8 binary64)))
(.f64 (.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(.f64 (pow.f64 (.f64 x (sqrt.f64 x)) #s(literal 5/8 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))))
(.f64 (pow.f64 (.f64 x (sqrt.f64 (sqrt.f64 x))) #s(literal 5/8 binary64)) (pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) #s(literal 5/8 binary64)))

simplify380.0ms (6.2%)

Memory

24.9MiB live, 364.1MiB allocated

Algorithm

1×	egg-herbie

Rules

3 528×	`-lowering-.f32`
3 528×	`-lowering-.f64`
3 364×	`accelerator-lowering-fma.f32`
3 364×	`accelerator-lowering-fma.f64`
2 224×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	74	1160
1	163	1160
2	421	1148
3	742	1148
4	1092	1148
5	1986	1148
6	2706	1148
7	2909	1148
8	3019	1148
9	3090	1148
10	3117	1148
11	3575	1148
12	3767	1148
13	3767	1148
14	3767	1148
15	3767	1148
16	3767	1148
17	3767	1148
18	4575	1148
19	6306	1148
20	6674	1148
21	6674	1148
22	7278	1148
23	7354	1148
24	7544	1148
25	7582	1148
26	7582	1148
27	7582	1148
28	7582	1148
29	7582	1148
0	8341	1148

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* -2 (* (pow x 2) (pow (sqrt -1) 2)))
(* -2 (* (pow x 2) (pow (sqrt -1) 2)))
(* -2 (* (pow x 2) (pow (sqrt -1) 2)))
(* -2 (* (pow x 2) (pow (sqrt -1) 2)))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(* 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 (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(* (pow (* -1 (pow x 3)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt 2)))
(* (pow (* -1 (pow x 3)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt 2)))
(* (pow (* -1 (pow x 3)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt 2)))
(* (pow (* -1 (pow x 3)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt 2)))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(* 2 (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))))
(* 2 (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))))
(* 2 (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))))
(* 2 (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(pow (* 1 (pow x 5)) 1/8)
(pow (* 1 (pow x 5)) 1/8)
(pow (* 1 (pow x 5)) 1/8)
(pow (* 1 (pow x 5)) 1/8)
(pow (* 1 (pow x 5)) 1/8)
(pow (* 1 (pow x 5)) 1/8)
(pow (* 1 (pow x 5)) 1/8)
(pow (* 1 (pow x 5)) 1/8)
(* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))
(* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))
(* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))
(* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))
(pow (* 1 (pow x 5)) 1/4)
(pow (* 1 (pow x 5)) 1/4)
(pow (* 1 (pow x 5)) 1/4)
(pow (* 1 (pow x 5)) 1/4)
(pow (* 1 (pow x 5)) 1/4)
(pow (* 1 (pow x 5)) 1/4)
(pow (* 1 (pow x 5)) 1/4)
(pow (* 1 (pow x 5)) 1/4)
(* -1 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(* -1 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(* -1 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(* -1 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))

Outputs
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 0 binary64))
(* (sqrt x) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) #s(literal 0 binary64))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(fma.f64 (sqrt.f64 x) (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(fma.f64 (sqrt.f64 x) (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(fma.f64 (sqrt.f64 x) (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(fma.f64 (sqrt.f64 x) (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
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(* 2 (pow (* 1 (pow x 3)) 1/4))
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(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 x) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 x) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 x) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/4 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/4 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/4 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/4 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(pow (* 1 (pow x 5)) 1/8)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64))
(pow (* 1 (pow x 5)) 1/8)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64))
(pow (* 1 (pow x 5)) 1/8)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64))
(pow (* 1 (pow x 5)) 1/8)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64))
(pow (* 1 (pow x 5)) 1/8)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64))
(pow (* 1 (pow x 5)) 1/8)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64))
(pow (* 1 (pow x 5)) 1/8)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64))
(pow (* 1 (pow x 5)) 1/8)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64))
(* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) #s(literal 1/4 binary64)))
(* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) #s(literal 1/4 binary64)))
(* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) #s(literal 1/4 binary64)))
(* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) #s(literal 1/4 binary64)))
(pow (* 1 (pow x 5)) 1/4)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 5)) 1/4)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 5)) 1/4)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 5)) 1/4)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 5)) 1/4)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 5)) 1/4)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 5)) 1/4)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 5)) 1/4)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64))
(* -1 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))) #s(literal 0 binary64))
(* -1 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))) #s(literal 0 binary64))
(* -1 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))) #s(literal 0 binary64))
(* -1 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))) #s(literal 0 binary64))

eval461.0ms (7.5%)

Memory: -8.8MiB live, 418.9MiB allocated
Compiler: Compiled 22 528 to 2 344 computations (89.6% saved)

prune114.0ms (1.9%)

Memory

8.3MiB live, 325.3MiB allocated

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	1 381	6	1 387
Fresh	4	2	6
Picked	1	4	5
Done	0	1	1
Total	1 386	13	1 399

Accuracy

100.0%

Counts

1 399 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x))))
▶	99.0%	(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x))
	99.0%	(.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
▶	91.4%	(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) (.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
	69.4%	(.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) #s(literal 2 binary64))) (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))))
✓	69.4%	(.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
	69.4%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
▶	99.0%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))
✓	99.5%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
✓	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	53.4%	(sqrt.f64 (.f64 (.f64 x (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
✓	53.4%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))
▶	29.5%	(sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (.f64 x (.f64 x x))))))

Compiler

Compiled 269 to 174 computations (35.3% saved)

simplify9.0ms (0.1%)

Memory

22.2MiB live, 22.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
✓	cost-diff	0	(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
✓	cost-diff	0	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))
✓	cost-diff	0	(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) (.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
✓	cost-diff	0	(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
✓	cost-diff	0	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
✓	cost-diff	0	(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x))
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) x)
✓	cost-diff	0	(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
✓	cost-diff	0	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))
✓	cost-diff	2240	(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
✓	cost-diff	0	(.f64 x (.f64 x (*.f64 x x)))
✓	cost-diff	0	(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (.f64 x (.f64 x x)))))
✓	cost-diff	0	(sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (.f64 x (.f64 x x))))))
✓	cost-diff	1280	(sqrt.f64 (.f64 x (.f64 x (*.f64 x x))))
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
✓	cost-diff	0	(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
✓	cost-diff	0	(pow.f64 x #s(literal 3/4 binary64))
✓	cost-diff	0	(.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x))))

Rules

154×	`-lowering-.f32`
154×	`-lowering-.f64`
62×	`associate-r`
52×	`*-commutative`
42×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	211
1	54	197
2	89	193
3	106	193
4	124	193
5	141	193
6	142	193
0	142	193

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (pow x 3/4) (sqrt (* 2 (sqrt x))))
(pow x 3/4)
x
3/4
(sqrt (* 2 (sqrt x)))
(* 2 (sqrt x))
2
(sqrt x)
(sqrt (* 2 (sqrt (* x (* x (* x x))))))
(* 2 (sqrt (* x (* x (* x x)))))
2
(sqrt (* x (* x (* x x))))
(* x (* x (* x x)))
x
(* x (* x x))
(* x x)
(* (sqrt (* 2 x)) (* (sqrt (sqrt x)) (sqrt (sqrt x))))
(sqrt (* 2 x))
(* 2 x)
2
x
(* (sqrt (sqrt x)) (sqrt (sqrt x)))
(sqrt (sqrt x))
(sqrt x)
(* (* (sqrt (* 2 (sqrt x))) (sqrt (sqrt x))) (sqrt x))
(* (sqrt (* 2 (sqrt x))) (sqrt (sqrt x)))
(sqrt (* 2 (sqrt x)))
(* 2 (sqrt x))
2
(sqrt x)
x
(sqrt (sqrt x))
(* (sqrt (* (* 2 (sqrt x)) (sqrt (sqrt x)))) (* (sqrt (* x (sqrt (sqrt (sqrt x))))) (sqrt (sqrt (sqrt (sqrt x))))))
(sqrt (* (* 2 (sqrt x)) (sqrt (sqrt x))))
(* (* 2 (sqrt x)) (sqrt (sqrt x)))
(* 2 (sqrt x))
2
(sqrt x)
x
(sqrt (sqrt x))
(* (sqrt (* x (sqrt (sqrt (sqrt x))))) (sqrt (sqrt (sqrt (sqrt x)))))
(sqrt (* x (sqrt (sqrt (sqrt x)))))
(* x (sqrt (sqrt (sqrt x))))
(sqrt (sqrt (sqrt x)))
(sqrt (sqrt (sqrt (sqrt x))))

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

localize123.0ms (2%)

Memory

-11.1MiB live, 287.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) (.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
✓	accuracy	99.5%	(.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
✓	accuracy	99.4%	(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
✓	accuracy	91.6%	(sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
✓	accuracy	99.8%	(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
✓	accuracy	99.8%	(sqrt.f64 (sqrt.f64 x))
✓	accuracy	99.5%	(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x))
✓	accuracy	99.4%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.8%	(sqrt.f64 (sqrt.f64 x))
✓	accuracy	99.5%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))
✓	accuracy	99.2%	(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	77.1%	(sqrt.f64 (.f64 x (.f64 x (*.f64 x x))))
✓	accuracy	53.5%	(sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (.f64 x (.f64 x x))))))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.8%	(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
✓	accuracy	99.5%	(.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x))))

Samples

61.0ms

256×

valid

Compiler

Compiled 230 to 31 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-sqrt: 19.0ms (43% of total)

ival-mult: 18.0ms (40.8% of total)

ival-pow: 6.0ms (13.6% of total)

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

exact: 0.0ms (0% of total)

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

series190.0ms (3.1%)

Memory

-31.6MiB live, 165.7MiB allocated

Counts

22 → 264

Calls

Call 1

Inputs
#<alt (* (pow x 3/4) (sqrt (* 2 (sqrt x))))>
#<alt (pow x 3/4)>
#<alt (sqrt (* 2 (sqrt x)))>
#<alt (* 2 (sqrt x))>
#<alt (sqrt (* x (* x (* x x))))>
#<alt (sqrt (* 2 (sqrt (* x (* x (* x x))))))>
#<alt (* 2 (sqrt (* x (* x (* x x)))))>
#<alt (* x (* x (* x x)))>
#<alt (* (sqrt (sqrt x)) (sqrt (sqrt x)))>
#<alt (* (sqrt (* 2 x)) (* (sqrt (sqrt x)) (sqrt (sqrt x))))>
#<alt (sqrt (* 2 x))>
#<alt (* 2 x)>
#<alt (* (* (sqrt (* 2 (sqrt x))) (sqrt (sqrt x))) (sqrt x))>
#<alt (* (sqrt (* 2 (sqrt x))) (sqrt (sqrt x)))>
#<alt (* (sqrt (* (* 2 (sqrt x)) (sqrt (sqrt x)))) (* (sqrt (* x (sqrt (sqrt (sqrt x))))) (sqrt (sqrt (sqrt (sqrt x))))))>
#<alt (sqrt (* (* 2 (sqrt x)) (sqrt (sqrt x))))>
#<alt (* (* 2 (sqrt x)) (sqrt (sqrt x)))>
#<alt (sqrt x)>
#<alt (* x (* x x))>
#<alt (sqrt (sqrt x))>
#<alt (sqrt (* x (sqrt (sqrt (sqrt x)))))>
#<alt (* (sqrt (* x (sqrt (sqrt (sqrt x))))) (sqrt (sqrt (sqrt (sqrt x)))))>

Outputs
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (sqrt -1)))))>
#<alt (* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (sqrt -1)))))>
#<alt (* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (sqrt -1)))))>
#<alt (* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (sqrt -1)))))>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x))))))>
#<alt (exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x))))))>
#<alt (exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x))))))>
#<alt (exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x))))))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))>
#<alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))>
#<alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))>
#<alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))>
#<alt (* 2 (sqrt x))>
#<alt (* 2 (sqrt x))>
#<alt (* 2 (sqrt x))>
#<alt (* 2 (sqrt x))>
#<alt (* 2 (sqrt x))>
#<alt (* 2 (sqrt x))>
#<alt (* 2 (sqrt x))>
#<alt (* 2 (sqrt x))>
#<alt (* -2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* -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 (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 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 (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* (sqrt x) (sqrt 2))>
#<alt (* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (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 (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))>
#<alt (* (pow (* -1 (pow x 3)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt 2)))>
#<alt (* (pow (* -1 (pow x 3)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt 2)))>
#<alt (* (pow (* -1 (pow x 3)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt 2)))>
#<alt (* (pow (* -1 (pow x 3)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt 2)))>
#<alt (* 2 (pow (* 1 (pow x 3)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 3)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 3)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 3)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 3)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 3)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 3)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 3)) 1/4))>
#<alt (* 2 (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))))>
#<alt (* 2 (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))))>
#<alt (* 2 (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))))>
#<alt (* 2 (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))>
#<alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))>
#<alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))>
#<alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))>
#<alt (pow (* 1 (pow x 9)) 1/16)>
#<alt (pow (* 1 (pow x 9)) 1/16)>
#<alt (pow (* 1 (pow x 9)) 1/16)>
#<alt (pow (* 1 (pow x 9)) 1/16)>
#<alt (pow (* 1 (pow x 9)) 1/16)>
#<alt (pow (* 1 (pow x 9)) 1/16)>
#<alt (pow (* 1 (pow x 9)) 1/16)>
#<alt (pow (* 1 (pow x 9)) 1/16)>
#<alt (* (pow (* -1 (pow x 9)) 1/16) (pow (* 1 (pow (sqrt -1) 9)) 1/8))>
#<alt (* (pow (* -1 (pow x 9)) 1/16) (pow (* 1 (pow (sqrt -1) 9)) 1/8))>
#<alt (* (pow (* -1 (pow x 9)) 1/16) (pow (* 1 (pow (sqrt -1) 9)) 1/8))>
#<alt (* (pow (* -1 (pow x 9)) 1/16) (pow (* 1 (pow (sqrt -1) 9)) 1/8))>
#<alt (pow (* 1 (pow x 5)) 1/8)>
#<alt (pow (* 1 (pow x 5)) 1/8)>
#<alt (pow (* 1 (pow x 5)) 1/8)>
#<alt (pow (* 1 (pow x 5)) 1/8)>
#<alt (pow (* 1 (pow x 5)) 1/8)>
#<alt (pow (* 1 (pow x 5)) 1/8)>
#<alt (pow (* 1 (pow x 5)) 1/8)>
#<alt (pow (* 1 (pow x 5)) 1/8)>
#<alt (* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))>
#<alt (* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))>
#<alt (* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))>
#<alt (* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))>

Calls

66 calls:

Time	Variable		Point	Expression
68.0ms	x	@	0	(pow x 3/4)
39.0ms	x	@	-inf	(sqrt (* x (sqrt (sqrt (sqrt x)))))
19.0ms	x	@	-inf	(* (pow x 3/4) (sqrt (* 2 (sqrt x))))
11.0ms	x	@	-inf	(pow x 3/4)
8.0ms	x	@	0	(sqrt (* x (sqrt (sqrt (sqrt x)))))

rewrite662.0ms (10.8%)

Memory

25.1MiB live, 658.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

11 750×	`accelerator-lowering-fma.f32`
11 750×	`accelerator-lowering-fma.f64`
4 996×	`-lowering-.f32`
4 996×	`-lowering-.f64`
1 518×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	29	133
1	89	115
2	333	84
3	1503	81
4	6169	81
0	8281	81

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 881

Calls

Call 1

Inputs
(* (pow x 3/4) (sqrt (* 2 (sqrt x))))
(pow x 3/4)
(sqrt (* 2 (sqrt x)))
(* 2 (sqrt x))
(sqrt (* x (* x (* x x))))
(sqrt (* 2 (sqrt (* x (* x (* x x))))))
(* 2 (sqrt (* x (* x (* x x)))))
(* x (* x (* x x)))
(* (sqrt (sqrt x)) (sqrt (sqrt x)))
(* (sqrt (* 2 x)) (* (sqrt (sqrt x)) (sqrt (sqrt x))))
(sqrt (* 2 x))
(* 2 x)
(* (* (sqrt (* 2 (sqrt x))) (sqrt (sqrt x))) (sqrt x))
(* (sqrt (* 2 (sqrt x))) (sqrt (sqrt x)))
(* (sqrt (* (* 2 (sqrt x)) (sqrt (sqrt x)))) (* (sqrt (* x (sqrt (sqrt (sqrt x))))) (sqrt (sqrt (sqrt (sqrt x))))))
(sqrt (* (* 2 (sqrt x)) (sqrt (sqrt x))))
(* (* 2 (sqrt x)) (sqrt (sqrt x)))
(sqrt x)
(* x (* x x))
(sqrt (sqrt x))
(sqrt (* x (sqrt (sqrt (sqrt x)))))
(* (sqrt (* x (sqrt (sqrt (sqrt x))))) (sqrt (sqrt (sqrt (sqrt x)))))

Outputs
(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 #s(literal 2 binary64) (*.f64 x x)))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log.f64 (.f64 #s(literal 2 binary64) (*.f64 x x)))))
(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))
(pow.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 4 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 #s(literal 2 binary64) (.f64 x x))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x #s(literal 2 binary64))))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 (*.f64 x (sqrt.f64 x))))
(.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (.f64 x (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))))
(.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))))
(.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (.f64 (.f64 x (sqrt.f64 (sqrt.f64 x))) (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))))
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (sqrt.f64 x))))) (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (.f64 x (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (sqrt.f64 x)))))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 x (sqrt.f64 x))))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (.f64 (.f64 x (sqrt.f64 x)) (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 (.f64 x (sqrt.f64 x)))))))
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 (.f64 x (sqrt.f64 x)) (.f64 x (.f64 x (sqrt.f64 (sqrt.f64 x)))))))))
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (sqrt.f64 x))))))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 (sqrt.f64 x))))))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 (.f64 x (sqrt.f64 x)) (.f64 x (.f64 x (sqrt.f64 (sqrt.f64 x)))))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(.f64 (sqrt.f64 (.f64 x (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))))) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 (sqrt.f64 x)))))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 (.f64 x (sqrt.f64 x)) (.f64 x (*.f64 x (sqrt.f64 (sqrt.f64 x)))))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))))
(.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (.f64 x x) (*.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (.f64 x (.f64 x x))) #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) (.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))))))))
(.f64 (pow.f64 (.f64 (.f64 x (sqrt.f64 x)) #s(literal 4 binary64)) #s(literal 1/8 binary64)) (.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) (pow.f64 (.f64 (*.f64 x (sqrt.f64 x)) #s(literal 4 binary64)) #s(literal 1/8 binary64))))
(.f64 (sqrt.f64 (.f64 x (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (sqrt.f64 x)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (.f64 x (sqrt.f64 x))))))) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 x))))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))
(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))) (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 (.f64 x (sqrt.f64 x))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 x (sqrt.f64 (.f64 x (sqrt.f64 x))))))
(.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)))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 (sqrt.f64 x)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))))))
(.f64 (pow.f64 (.f64 (.f64 x x) (.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))))
(.f64 (.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) (pow.f64 (.f64 (.f64 x (sqrt.f64 x)) #s(literal 4 binary64)) #s(literal 1/8 binary64))) (pow.f64 (.f64 (*.f64 x (sqrt.f64 x)) #s(literal 4 binary64)) #s(literal 1/8 binary64)))
(.f64 (sqrt.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x))))))
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(exp.f64 (*.f64 (log.f64 x) #s(literal 5/8 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 5/16 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 5/32 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/8 binary64) (log.f64 x)) #s(literal 5 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 5/8 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 5/16 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 5 binary64) (log.f64 x)) #s(literal 1/8 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 5/2 binary64) (log.f64 x)) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 x (.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x (.f64 x (sqrt.f64 (sqrt.f64 x)))))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (exp.f64 (.f64 #s(literal 5/4 binary64) (log.f64 x)))) #s(literal 1/2 binary64)))
(fabs.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))
(fabs.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(fabs.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))))
(sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))
(pow.f64 x #s(literal 5/8 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 5/4 binary64))
(pow.f64 (*.f64 x x) #s(literal 5/16 binary64))
(pow.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 5/32 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 5/2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 5 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))) #s(literal 2 binary64))
(pow.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/8 binary64))
(pow.f64 (.f64 x (.f64 x (sqrt.f64 x))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 x (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x (*.f64 x (sqrt.f64 (sqrt.f64 x))))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (*.f64 #s(literal 5/4 binary64) (log.f64 x))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (.f64 x (.f64 x (sqrt.f64 (sqrt.f64 x))))))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))) (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))))
(.f64 (.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (.f64 x (.f64 x (sqrt.f64 (sqrt.f64 x))))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))

simplify287.0ms (4.7%)

Memory

-40.4MiB live, 461.8MiB allocated

Algorithm

1×	egg-herbie

Rules

3 514×	`accelerator-lowering-fma.f32`
3 514×	`accelerator-lowering-fma.f64`
3 178×	`-lowering-.f32`
3 178×	`-lowering-.f64`
1 350×	`unsub-neg`

Iterations

Useful iterations: 12 (0.0ms)

Iter	Nodes	Cost
0	94	1364
1	204	1364
2	515	1352
3	1009	1352
4	1581	1352
5	2840	1352
6	3692	1352
7	4056	1352
8	4311	1352
9	4547	1352
10	4879	1352
11	6108	1348
12	6844	1344
13	7963	1344
0	8014	1344

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (sqrt -1)))))
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (sqrt -1)))))
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (sqrt -1)))))
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (sqrt -1)))))
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x))))))
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x))))))
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x))))))
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x))))))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -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))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 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 (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (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 (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(* (pow (* -1 (pow x 3)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt 2)))
(* (pow (* -1 (pow x 3)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt 2)))
(* (pow (* -1 (pow x 3)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt 2)))
(* (pow (* -1 (pow x 3)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt 2)))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(* 2 (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))))
(* 2 (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))))
(* 2 (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))))
(* 2 (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(pow (* 1 (pow x 9)) 1/16)
(pow (* 1 (pow x 9)) 1/16)
(pow (* 1 (pow x 9)) 1/16)
(pow (* 1 (pow x 9)) 1/16)
(pow (* 1 (pow x 9)) 1/16)
(pow (* 1 (pow x 9)) 1/16)
(pow (* 1 (pow x 9)) 1/16)
(pow (* 1 (pow x 9)) 1/16)
(* (pow (* -1 (pow x 9)) 1/16) (pow (* 1 (pow (sqrt -1) 9)) 1/8))
(* (pow (* -1 (pow x 9)) 1/16) (pow (* 1 (pow (sqrt -1) 9)) 1/8))
(* (pow (* -1 (pow x 9)) 1/16) (pow (* 1 (pow (sqrt -1) 9)) 1/8))
(* (pow (* -1 (pow x 9)) 1/16) (pow (* 1 (pow (sqrt -1) 9)) 1/8))
(pow (* 1 (pow x 5)) 1/8)
(pow (* 1 (pow x 5)) 1/8)
(pow (* 1 (pow x 5)) 1/8)
(pow (* 1 (pow x 5)) 1/8)
(pow (* 1 (pow x 5)) 1/8)
(pow (* 1 (pow x 5)) 1/8)
(pow (* 1 (pow x 5)) 1/8)
(pow (* 1 (pow x 5)) 1/8)
(* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))
(* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))
(* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))
(* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))

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

eval274.0ms (4.5%)

Memory: 56.1MiB live, 473.9MiB allocated
Compiler: Compiled 33 676 to 3 209 computations (90.5% saved)

prune131.0ms (2.2%)

Memory

5.8MiB live, 404.3MiB allocated

Pruning

13 alts after pruning (3 fresh and 10 done)

	Pruned	Kept	Total
New	1 801	1	1 802
Fresh	1	2	3
Picked	0	5	5
Done	0	5	5
Total	1 802	13	1 815

Accuracy

100.0%

Counts

1 815 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.5%	(.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x))))
✓	99.0%	(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x))
▶	99.0%	(.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
✓	91.4%	(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) (.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
▶	69.4%	(.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) #s(literal 2 binary64))) (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))))
▶	69.4%	(.f64 (sqrt.f64 (.f64 x (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
✓	69.4%	(.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
✓	99.0%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))
✓	99.5%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
✓	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	53.4%	(sqrt.f64 (.f64 (.f64 x (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
✓	53.4%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))
✓	29.5%	(sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (.f64 x (.f64 x x))))))

Compiler

Compiled 156 to 102 computations (34.6% saved)

simplify6.0ms (0.1%)

Memory

-23.8MiB live, 17.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

64×	`-lowering-.f32`
64×	`-lowering-.f64`
28×	`*-commutative`
14×	`sqrt-lowering-sqrt.f64`
14×	`sqrt-lowering-sqrt.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	126
1	31	126
2	43	126
3	45	126
0	45	126

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize63.0ms (1%)

Memory

13.3MiB live, 129.1MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
✓	accuracy	99.8%	(sqrt.f64 (sqrt.f64 x))
✓	accuracy	99.5%	(.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
✓	accuracy	99.4%	(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))
✓	accuracy	99.7%	(*.f64 x (sqrt.f64 (sqrt.f64 x)))
✓	accuracy	99.5%	(.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) #s(literal 2 binary64))) (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))))
✓	accuracy	83.3%	(sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))
✓	accuracy	68.9%	(sqrt.f64 (*.f64 x (sqrt.f64 x)))
✓	accuracy	99.8%	(sqrt.f64 (sqrt.f64 x))
✓	accuracy	99.7%	(.f64 x (.f64 #s(literal 2 binary64) (sqrt.f64 x)))
✓	accuracy	99.5%	(.f64 (sqrt.f64 (.f64 x (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
✓	accuracy	68.9%	(sqrt.f64 (.f64 x (.f64 #s(literal 2 binary64) (sqrt.f64 x))))

Samples

37.0ms

256×

valid

Compiler

Compiled 128 to 20 computations (84.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-sqrt: 13.0ms (52.8% of total)

ival-mult: 11.0ms (44.7% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

10.7MiB live, 10.7MiB allocated

Counts

15 → 180

Calls

Call 1

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

Outputs
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* x (* (sqrt -2) (sqrt -1))))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))>
#<alt (* 2 (sqrt (pow x 3)))>
#<alt (* 2 (sqrt (pow x 3)))>
#<alt (* 2 (sqrt (pow x 3)))>
#<alt (* 2 (sqrt (pow x 3)))>
#<alt (* 2 (sqrt (pow x 3)))>
#<alt (* 2 (sqrt (pow x 3)))>
#<alt (* 2 (sqrt (pow x 3)))>
#<alt (* 2 (sqrt (pow x 3)))>
#<alt (* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (* 2 (sqrt x))>
#<alt (* 2 (sqrt x))>
#<alt (* 2 (sqrt x))>
#<alt (* 2 (sqrt x))>
#<alt (* 2 (sqrt x))>
#<alt (* 2 (sqrt x))>
#<alt (* 2 (sqrt x))>
#<alt (* 2 (sqrt x))>
#<alt (* -2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))>
#<alt (* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))>
#<alt (* (pow (* -1 (pow x 3)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt 2)))>
#<alt (* (pow (* -1 (pow x 3)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt 2)))>
#<alt (* (pow (* -1 (pow x 3)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt 2)))>
#<alt (* (pow (* -1 (pow x 3)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt 2)))>
#<alt (* 2 (pow (* 1 (pow x 3)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 3)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 3)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 3)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 3)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 3)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 3)) 1/4))>
#<alt (* 2 (pow (* 1 (pow x 3)) 1/4))>
#<alt (* 2 (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))))>
#<alt (* 2 (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))))>
#<alt (* 2 (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))))>
#<alt (* 2 (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))))>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))>
#<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 (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (pow (* 1 (pow x 3)) 1/4)>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))>
#<alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (pow (* 1 x) 1/4)>
#<alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))>
#<alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))>
#<alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))>
#<alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (pow (* 1 (pow x 5)) 1/8)>
#<alt (pow (* 1 (pow x 5)) 1/8)>
#<alt (pow (* 1 (pow x 5)) 1/8)>
#<alt (pow (* 1 (pow x 5)) 1/8)>
#<alt (pow (* 1 (pow x 5)) 1/8)>
#<alt (pow (* 1 (pow x 5)) 1/8)>
#<alt (pow (* 1 (pow x 5)) 1/8)>
#<alt (pow (* 1 (pow x 5)) 1/8)>
#<alt (* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))>
#<alt (* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))>
#<alt (* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))>
#<alt (* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))>
#<alt (pow (* 1 (pow x 5)) 1/4)>
#<alt (pow (* 1 (pow x 5)) 1/4)>
#<alt (pow (* 1 (pow x 5)) 1/4)>
#<alt (pow (* 1 (pow x 5)) 1/4)>
#<alt (pow (* 1 (pow x 5)) 1/4)>
#<alt (pow (* 1 (pow x 5)) 1/4)>
#<alt (pow (* 1 (pow x 5)) 1/4)>
#<alt (pow (* 1 (pow x 5)) 1/4)>
#<alt (* -1 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))>
#<alt (* -1 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))>
#<alt (* -1 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))>
#<alt (* -1 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* 1 x) 1/4) (sqrt 2))>
#<alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))>
#<alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))>
#<alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))>
#<alt (* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))>

Calls

45 calls:

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

rewrite366.0ms (6%)

Memory

-44.9MiB live, 525.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 520×	`-lowering-.f32`
5 520×	`-lowering-.f64`
4 992×	`accelerator-lowering-fma.f32`
4 992×	`accelerator-lowering-fma.f64`
1 626×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	93
1	51	84
2	166	61
3	665	60
4	3382	60
0	8196	60

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 626

Calls

Call 1

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

Outputs
(exp.f64 (+.f64 (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 x) (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 x #s(literal 2 binary64))))))
(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 #s(literal 2 binary64) (*.f64 x x)))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (log.f64 x))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 x (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (sqrt.f64 x)))))))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (.f64 x (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (sqrt.f64 x)))))) (.f64 (log.f64 x) #s(literal 1/8 binary64))))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal 4 binary64)) x)) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 4 binary64)))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 x (.f64 x x)) (*.f64 x #s(literal 4 binary64)))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (sqrt.f64 x) (.f64 x #s(literal 4 binary64))) (.f64 x (.f64 x (sqrt.f64 x))))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 x (.f64 x (sqrt.f64 x))) (.f64 (sqrt.f64 x) (.f64 x #s(literal 4 binary64))))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 x #s(literal 4 binary64)) (.f64 x (*.f64 x x)))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 #s(literal 2 binary64) (.f64 x x)))) #s(literal 1/4 binary64)))
(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))
(sqrt.f64 (.f64 (.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 x)))
(sqrt.f64 (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x)))))))
(sqrt.f64 (.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))))
(sqrt.f64 (.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
(sqrt.f64 (.f64 (.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
(sqrt.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (.f64 x (sqrt.f64 x)))) (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
(pow.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 4 binary64)) x) #s(literal 1/4 binary64))
(pow.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 (sqrt.f64 x) (.f64 x #s(literal 4 binary64))) (.f64 x (*.f64 x (sqrt.f64 x)))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 x (.f64 x (sqrt.f64 x))) (.f64 (sqrt.f64 x) (*.f64 x #s(literal 4 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 x #s(literal 4 binary64)) (.f64 x (.f64 x x))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 #s(literal 2 binary64) (.f64 x x))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x #s(literal 2 binary64))))
(.f64 (sqrt.f64 (.f64 x (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
(.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (.f64 x (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))))
(.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (.f64 (.f64 x (sqrt.f64 (sqrt.f64 x))) (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))))
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (sqrt.f64 x))))) (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))))
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (sqrt.f64 x))))))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 (*.f64 x (sqrt.f64 x))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (.f64 x (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (sqrt.f64 x)))))))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))) (sqrt.f64 (.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))))
(.f64 (pow.f64 (.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)) (pow.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 2 binary64) (sqrt.f64 x))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 4 binary64)) #s(literal 1/8 binary64)) (pow.f64 (.f64 x (.f64 x (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x))))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))))))
(.f64 (pow.f64 (.f64 (sqrt.f64 x) (.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64)) (pow.f64 (.f64 (.f64 x (.f64 x (sqrt.f64 x))) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (sqrt.f64 x))))) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (.f64 x (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (sqrt.f64 x)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))))) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))) (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64))))))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 x (sqrt.f64 (.f64 x (sqrt.f64 x))))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (.f64 x (.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x))))))))
(.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)))
(.f64 (pow.f64 (.f64 x (.f64 x (.f64 #s(literal 2 binary64) (sqrt.f64 x)))) #s(literal 1/4 binary64)) (pow.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal 4 binary64)) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 2 binary64) (sqrt.f64 x))) #s(literal 1/4 binary64)) (pow.f64 (.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)))
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 (.f64 x (sqrt.f64 x))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))))
(.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))))) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x))))))
(.f64 (pow.f64 (.f64 (.f64 x (.f64 x (sqrt.f64 x))) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (sqrt.f64 x))))) #s(literal 1/4 binary64)) (pow.f64 (.f64 (sqrt.f64 x) (.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64)))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (.f64 #s(literal 2 binary64) (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))) (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 x #s(literal 2 binary64))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))))))
(.f64 (sqrt.f64 (.f64 (.f64 x (sqrt.f64 (sqrt.f64 x))) (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 x)))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (.f64 x (.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x))))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 x (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 4 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/8 binary64) (log.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal 4 binary64)))) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 3/8 binary64) (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x))))))))
(exp.f64 (fma.f64 #s(literal 1/8 binary64) (log.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 4 binary64))) (.f64 #s(literal 1/8 binary64) (log.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal 4 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 x (sqrt.f64 x)) (.f64 (sqrt.f64 x) (*.f64 x #s(literal 4 binary64))))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log.f64 (.f64 x (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))))
(sqrt.f64 (.f64 x (.f64 #s(literal 2 binary64) (sqrt.f64 x))))
(sqrt.f64 (.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (sqrt.f64 x))))))
(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (sqrt.f64 x)))) (sqrt.f64 (.f64 x (sqrt.f64 x)))))
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(.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x))))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))))
(*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 (sqrt.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 (log.f64 x) #s(literal 1/8 binary64))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 7/8 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 7/8 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 1/8 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 5/8 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 3/8 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 (log.f64 x) #s(literal 3/8 binary64))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 5/8 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 5/16 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (log.f64 (.f64 (.f64 x (sqrt.f64 (sqrt.f64 x))) (.f64 x (sqrt.f64 x)))))))
(exp.f64 (*.f64 #s(literal 5/8 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 5/8 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 5/8 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 5/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1/8 binary64)) #s(literal 5 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 5/16 binary64)))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (.f64 (log.f64 x) #s(literal 5/4 binary64))))
(fabs.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))
(fabs.f64 (neg.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))))
(fabs.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
(fabs.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))))
(fabs.f64 (.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))))))
(fabs.f64 (.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 x)))
(fabs.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))) (neg.f64 (sqrt.f64 (sqrt.f64 x)))))
(fabs.f64 (.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 x))))
(fabs.f64 (.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))))) (neg.f64 (sqrt.f64 (sqrt.f64 x)))))
(sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))
(pow.f64 x #s(literal 5/8 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 5/4 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 5/2 binary64))
(pow.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 5 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 5/16 binary64))
(pow.f64 (.f64 x (.f64 x (sqrt.f64 x))) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))) #s(literal 4 binary64))
(pow.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 5/32 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 5/4 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 5/4 binary64)) (log.f64 x))
(pow.f64 (exp.f64 (*.f64 #s(literal 5/2 binary64) (log.f64 x))) #s(literal 1/4 binary64))
(*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))))) (pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) #s(literal 5/8 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))))) (sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 x)) #s(literal 5/8 binary64))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))))) (fabs.f64 (pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) #s(literal 5/8 binary64))))
(.f64 (pow.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) #s(literal 5/8 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))))
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 (log.f64 x) #s(literal 1/8 binary64))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 9/8 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 9/8 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 1/8 binary64))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x))))))) (sqrt.f64 (pow.f64 (.f64 x (sqrt.f64 (.f64 x (sqrt.f64 x)))) #s(literal 5/8 binary64))))
(.f64 (sqrt.f64 (pow.f64 (.f64 x (sqrt.f64 x)) #s(literal 5/8 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))))
(.f64 (sqrt.f64 (pow.f64 (.f64 x (sqrt.f64 (.f64 x (sqrt.f64 x)))) #s(literal 5/8 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x))))))))
(.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) #s(literal 5/8 binary64))) (sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))) #s(literal 5/8 binary64))))
(.f64 (sqrt.f64 (pow.f64 (.f64 x (sqrt.f64 (sqrt.f64 x))) #s(literal 5/8 binary64))) (sqrt.f64 (pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) #s(literal 5/8 binary64))))
(.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x))))) #s(literal 5/4 binary64))) (sqrt.f64 (pow.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))) #s(literal 5/4 binary64))))
(.f64 (fabs.f64 (pow.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) #s(literal 5/8 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 5/4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal 5/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 5/4 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 5/8 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 5/8 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 5/2 binary64) (log.f64 x)) #s(literal 1/2 binary64)))
(fabs.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))
(fabs.f64 (*.f64 x (neg.f64 (sqrt.f64 (sqrt.f64 x)))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x))) x))
(sqrt.f64 (.f64 x (.f64 x (sqrt.f64 x))))
(pow.f64 x #s(literal 5/4 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 5/2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 5 binary64))
(pow.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 10 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))) #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 5/8 binary64))
(pow.f64 (.f64 x (.f64 x (sqrt.f64 x))) #s(literal 1/2 binary64))
(pow.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 5/16 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 5/2 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 (log.f64 x) #s(literal 3/2 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 x) (*.f64 (log.f64 x) #s(literal 3/2 binary64))))
(pow.f64 (exp.f64 #s(literal 5/4 binary64)) (log.f64 x))
(*.f64 x (sqrt.f64 (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x (sqrt.f64 x))))
(*.f64 (sqrt.f64 (sqrt.f64 x)) x)
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x))))) (pow.f64 (*.f64 x (sqrt.f64 x)) #s(literal 5/8 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))))) (pow.f64 (.f64 x (sqrt.f64 (.f64 x (sqrt.f64 x)))) #s(literal 5/8 binary64)))
(.f64 (.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(.f64 (pow.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) #s(literal 5/8 binary64)) (pow.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))) #s(literal 5/8 binary64)))
(.f64 (pow.f64 (.f64 x (sqrt.f64 x)) #s(literal 5/8 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))))
(.f64 (pow.f64 (.f64 x (sqrt.f64 (sqrt.f64 x))) #s(literal 5/8 binary64)) (pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) #s(literal 5/8 binary64)))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x))))) #s(literal 5/4 binary64)) (pow.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))) #s(literal 5/4 binary64)))
(.f64 (pow.f64 (.f64 x (sqrt.f64 (.f64 x (sqrt.f64 x)))) #s(literal 5/8 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))))))
(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/8 binary64) (log.f64 (*.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)))
(exp.f64 (fma.f64 #s(literal 1/8 binary64) (log.f64 (.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/8 binary64) (log.f64 (*.f64 x #s(literal 4 binary64))))))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64)) #s(literal 4 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
(pow.f64 (exp.f64 (log.f64 (*.f64 x #s(literal 4 binary64)))) #s(literal 1/4 binary64))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 x)))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))))
(.f64 (pow.f64 (.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))

simplify665.0ms (10.9%)

Memory

19.2MiB live, 496.4MiB allocated

Algorithm

1×	egg-herbie

Rules

7 268×	`accelerator-lowering-fma.f32`
7 268×	`accelerator-lowering-fma.f64`
3 968×	`-lowering-.f32`
3 968×	`-lowering-.f64`
2 514×	`unsub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	71	1160
1	152	1160
2	365	1144
3	568	1144
4	1375	1144
5	2700	1144
6	4409	1144
7	4780	1144
8	5000	1144
9	5102	1144
10	5129	1144
11	5219	1144
12	5278	1144
13	5347	1144
14	5433	1144
15	5456	1144
16	5485	1144
17	5531	1144
18	5584	1144
19	5617	1144
20	5646	1144
21	6334	1144
22	6630	1144
23	6630	1144
24	6630	1144
25	6630	1144
26	6630	1144
27	6630	1144
28	7376	1144
0	8129	1144

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

Inputs
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(* 2 (sqrt (pow x 3)))
(* 2 (sqrt (pow x 3)))
(* 2 (sqrt (pow x 3)))
(* 2 (sqrt (pow x 3)))
(* 2 (sqrt (pow x 3)))
(* 2 (sqrt (pow x 3)))
(* 2 (sqrt (pow x 3)))
(* 2 (sqrt (pow x 3)))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(* (pow (* -1 (pow x 3)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt 2)))
(* (pow (* -1 (pow x 3)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt 2)))
(* (pow (* -1 (pow x 3)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt 2)))
(* (pow (* -1 (pow x 3)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt 2)))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(* 2 (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))))
(* 2 (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))))
(* 2 (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))))
(* 2 (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))))
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(* 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 (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(pow (* 1 (pow x 3)) 1/4)
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(pow (* 1 (pow x 5)) 1/8)
(pow (* 1 (pow x 5)) 1/8)
(pow (* 1 (pow x 5)) 1/8)
(pow (* 1 (pow x 5)) 1/8)
(pow (* 1 (pow x 5)) 1/8)
(pow (* 1 (pow x 5)) 1/8)
(pow (* 1 (pow x 5)) 1/8)
(pow (* 1 (pow x 5)) 1/8)
(* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))
(* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))
(* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))
(* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))
(pow (* 1 (pow x 5)) 1/4)
(pow (* 1 (pow x 5)) 1/4)
(pow (* 1 (pow x 5)) 1/4)
(pow (* 1 (pow x 5)) 1/4)
(pow (* 1 (pow x 5)) 1/4)
(pow (* 1 (pow x 5)) 1/4)
(pow (* 1 (pow x 5)) 1/4)
(pow (* 1 (pow x 5)) 1/4)
(* -1 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(* -1 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(* -1 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(* -1 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* 1 x) 1/4) (sqrt 2))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))

Outputs
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1/4 binary64)) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1/4 binary64)) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1/4 binary64)) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1/4 binary64)) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (sqrt (pow x 3)))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* 2 (sqrt (pow x 3)))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* 2 (sqrt (pow x 3)))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* 2 (sqrt (pow x 3)))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* 2 (sqrt (pow x 3)))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* 2 (sqrt (pow x 3)))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* 2 (sqrt (pow x 3)))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* 2 (sqrt (pow x 3)))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* 2 (sqrt x))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 x) #s(literal 0 binary64))
(* 2 (sqrt x))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 x) #s(literal 0 binary64))
(* 2 (sqrt x))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 x) #s(literal 0 binary64))
(* 2 (sqrt x))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 x) #s(literal 0 binary64))
(* 2 (sqrt x))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 x) #s(literal 0 binary64))
(* 2 (sqrt x))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 x) #s(literal 0 binary64))
(* 2 (sqrt x))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 x) #s(literal 0 binary64))
(* 2 (sqrt x))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 x) #s(literal 0 binary64))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 x) #s(literal 0 binary64))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 x) #s(literal 0 binary64))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 x) #s(literal 0 binary64))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 x) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/8 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/8 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/8 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/8 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/8 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/8 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/8 binary64)) #s(literal 0 binary64))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/8 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt 2)))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1/8 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt 2)))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1/8 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt 2)))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1/8 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt 2)))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1/8 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(fma.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(fma.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(fma.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(fma.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(fma.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(fma.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(fma.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* 2 (pow (* 1 (pow x 3)) 1/4))
(fma.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* 2 (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1/4 binary64)) (fma.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1/4 binary64)) (fma.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1/4 binary64)) (fma.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1/4 binary64)) (fma.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 0 binary64)) #s(literal 0 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 0 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3)))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 0 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(pow (* 1 (pow x 5)) 1/8)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64))
(pow (* 1 (pow x 5)) 1/8)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64))
(pow (* 1 (pow x 5)) 1/8)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64))
(pow (* 1 (pow x 5)) 1/8)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64))
(pow (* 1 (pow x 5)) 1/8)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64))
(pow (* 1 (pow x 5)) 1/8)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64))
(pow (* 1 (pow x 5)) 1/8)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64))
(pow (* 1 (pow x 5)) 1/8)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/8 binary64))
(* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) #s(literal 1/4 binary64)))
(* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) #s(literal 1/4 binary64)))
(* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) #s(literal 1/4 binary64)))
(* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) #s(literal 1/4 binary64)))
(pow (* 1 (pow x 5)) 1/4)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 5)) 1/4)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 5)) 1/4)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 5)) 1/4)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 5)) 1/4)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 5)) 1/4)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 5)) 1/4)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 5)) 1/4)
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4 binary64))
(* -1 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/4 binary64)) #s(literal 0 binary64)))
(* -1 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/4 binary64)) #s(literal 0 binary64)))
(* -1 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/4 binary64)) #s(literal 0 binary64)))
(* -1 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1))))
(-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/4 binary64)) #s(literal 0 binary64)))
(* (pow (* 1 x) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 x) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 x) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 x) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 x) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 x) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 x) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* 1 x) 1/4) (sqrt 2))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 0 binary64))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))

eval264.0ms (4.3%)

Memory: 8.0MiB live, 294.2MiB allocated
Compiler: Compiled 23 263 to 2 522 computations (89.2% saved)

prune147.0ms (2.4%)

Memory

9.6MiB live, 320.1MiB allocated

Pruning

13 alts after pruning (0 fresh and 13 done)

	Pruned	Kept	Total
New	1 275	0	1 275
Fresh	0	0	0
Picked	0	3	3
Done	0	10	10
Total	1 275	13	1 288

Accuracy

100.0%

Counts

1 288 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.5%	(.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x))))
✓	99.0%	(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x))
✓	99.0%	(.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
✓	91.4%	(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) (.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
✓	69.4%	(.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) #s(literal 2 binary64))) (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))))
✓	69.4%	(.f64 (sqrt.f64 (.f64 x (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
✓	69.4%	(.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
✓	99.0%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))
✓	99.5%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
✓	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	53.4%	(sqrt.f64 (.f64 (.f64 x (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
✓	53.4%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))
✓	29.5%	(sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (.f64 x (.f64 x x))))))

Compiler

Compiled 380 to 169 computations (55.5% saved)

regimes25.0ms (0.4%)

Memory

-17.8MiB live, 59.4MiB allocated

Counts

19 → 1

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	x
6.0ms	(*.f64 x x)
5.0ms	(.f64 #s(literal 2 binary64) (.f64 x x))
5.0ms	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))`
99.5%	1	`(.f64 #s(literal 2 binary64) (.f64 x x))`
99.5%	1	`(*.f64 x x)`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes6.0ms (0.1%)

Memory

19.1MiB live, 19.1MiB allocated

Accuracy

Total -29.6b remaining (-7072%)

Threshold costs -29.6b (-7072%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
99.3%	1	`x`
99.3%	1	`(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))`
99.3%	1	`(.f64 #s(literal 2 binary64) (.f64 x x))`
99.3%	1	`(*.f64 x x)`

Compiler

Compiled 19 to 12 computations (36.8% saved)

simplify8.0ms (0.1%)

Memory

-19.1MiB live, 18.5MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	11	11

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness183.0ms (3%)

Memory

-1.3MiB live, 157.4MiB allocated

Rules

6 020×	`accelerator-lowering-fma.f32`
6 020×	`accelerator-lowering-fma.f64`
3 692×	`-lowering-.f32`
3 692×	`-lowering-.f64`
1 894×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	5	14
1	14	13
2	43	12
3	120	12
4	577	12
5	3941	12
0	8197	12

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 25 to 18 computations (28% saved)

preprocess42.0ms (0.7%)

Memory: 0.5MiB live, 96.2MiB allocated
Compiler: Compiled 70 to 50 computations (28.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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	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

analyze0.0ms (0%)

sample520.0ms (8.5%)

preprocess14.0ms (0.2%)

explain59.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize17.0ms (0.3%)

series4.0ms (0.1%)

rewrite295.0ms (4.8%)

simplify9.0ms (0.2%)

eval46.0ms (0.8%)

prune60.0ms (1%)

simplify7.0ms (0.1%)

localize83.0ms (1.4%)

series190.0ms (3.1%)

rewrite387.0ms (6.3%)

simplify380.0ms (6.2%)

eval461.0ms (7.5%)

prune114.0ms (1.9%)

simplify9.0ms (0.1%)

localize123.0ms (2%)

series190.0ms (3.1%)

rewrite662.0ms (10.8%)

simplify287.0ms (4.7%)

eval274.0ms (4.5%)

prune131.0ms (2.2%)

simplify6.0ms (0.1%)

localize63.0ms (1%)

series5.0ms (0.1%)

rewrite366.0ms (6%)

simplify665.0ms (10.9%)

eval264.0ms (4.3%)

prune147.0ms (2.4%)

regimes25.0ms (0.4%)

regimes6.0ms (0.1%)

simplify8.0ms (0.1%)

soundness183.0ms (3%)

preprocess42.0ms (0.7%)

end0.0ms (0%)

Profiling

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