Metrics for sqrt C (should all be same)

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

sample565.0ms (3.5%)

Memory

42.4MiB live, 899.9MiB allocated

Samples

382.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 205.0ms

ival-mult: 136.0ms (66.2% of total)

ival-sqrt: 57.0ms (27.8% of total)

ival-true: 5.0ms (2.4% of total)

exact: 4.0ms (1.9% of total)

ival-assert: 3.0ms (1.5% of total)

Bogosity

preprocess16.0ms (0.1%)

Memory

-9.7MiB live, 25.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	21	13
2	63	13
3	141	13
4	204	13
5	221	13
6	223	13
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)))

Symmetry

(abs x)

explain310.0ms (1.9%)

Memory

3.1MiB live, 134.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
137	-	5	(1.8397579362874557e-156)	`(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	67	0
↳	`(.f64 #s(literal 2 binary64) (.f64 x x))`	underflow	67
↳	`(*.f64 x x)`	underflow	67
`sqrt.f64`	`(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))`	oflow-rescue	65	0
↳	`(.f64 #s(literal 2 binary64) (.f64 x x))`	overflow	65
↳	`(*.f64 x x)`	overflow	65

Confusion

	Predicted +	Predicted -
+	132	5
-	0	119

Precision

1.0

Recall

0.9635036496350365

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	132	0	5
-	0	0	119

Precision?

1.0

Recall?

0.9635036496350365

Freqs

test

number	freq
0	124
1	132

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

274.0ms

512×

valid

Compiler

Compiled 50 to 24 computations (52% saved)

Precisions

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

ival-mult: 7.0ms (59% of total)

ival-sqrt: 4.0ms (33.7% 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

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.6%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify3.0ms (0%)

Memory

6.5MiB live, 6.5MiB 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

localize22.0ms (0.1%)

Memory

-5.4MiB live, 35.1MiB 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	51.7%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))

Samples

15.0ms

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 (57.8% of total)

ival-sqrt: 2.0ms (38.5% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

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

rewrite300.0ms (1.8%)

Memory

30.2MiB live, 547.0MiB 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 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(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 (log.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64)))) #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))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))))) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x))))))
(.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 2 binary64)))) (exp.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 2 binary64)))))
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(.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 (neg.f64 (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)))))

simplify15.0ms (0.1%)

Memory

-16.9MiB live, 27.4MiB 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))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* x (sqrt 2)))
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* x (sqrt 2)))
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* x (sqrt 2)))
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* 2 (pow x 2))
(.f64 x (.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(.f64 x (.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(.f64 x (.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(.f64 x (.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(.f64 x (.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(.f64 x (.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(.f64 x (.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(.f64 x (.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(.f64 x (.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(.f64 x (.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(.f64 x (.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(.f64 x (.f64 x #s(literal 2 binary64)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

eval32.0ms (0.2%)

Memory: 12.6MiB live, 90.3MiB allocated
Compiler: Compiled 3 637 to 729 computations (80% saved)

prune31.0ms (0.2%)

Memory

18.0MiB live, 98.9MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	255	7	262
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	255	8	263

Accuracy

100.0%

Counts

263 → 8

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))))
	99.5%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))))
▶	79.2%	(.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)))))
▶	63.9%	(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))
▶	64.0%	(.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))
▶	99.4%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	51.6%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))

Compiler

Compiled 171 to 113 computations (33.9% saved)

simplify7.0ms (0%)

Memory

-23.7MiB live, 15.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

80×	`-lowering-.f32`
80×	`-lowering-.f64`
30×	`*-commutative`
20×	`sqrt-lowering-sqrt.f64`
20×	`sqrt-lowering-sqrt.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	171
1	40	171
2	54	171
3	57	171
0	57	171

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

localize99.0ms (0.6%)

Memory

3.7MiB live, 221.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(*.f64 x (sqrt.f64 (sqrt.f64 x)))
✓	accuracy	99.6%	(.f64 (.f64 #s(literal 2 binary64) (sqrt.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	78.8%	(sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))
✓	accuracy	99.7%	(*.f64 x (sqrt.f64 x))
✓	accuracy	99.5%	(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))
✓	accuracy	78.4%	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x))))
✓	accuracy	63.3%	(sqrt.f64 (*.f64 x (sqrt.f64 x)))
✓	accuracy	99.8%	(sqrt.f64 (sqrt.f64 x))
✓	accuracy	99.7%	(*.f64 x (sqrt.f64 x))
✓	accuracy	99.5%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
✓	accuracy	63.2%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 x))))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	99.4%	(*.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

47.0ms

256×

valid

Compiler

Compiled 173 to 26 computations (85% saved)

Precisions

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

ival-sqrt: 16.0ms (50.8% of total)

ival-mult: 15.0ms (47.6% of total)

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

exact: 0.0ms (0% of total)

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

series247.0ms (1.5%)

Memory

-10.1MiB live, 455.1MiB allocated

Counts

21 → 240

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

60 calls:

Time	Variable		Point	Expression
50.0ms	x	@	0	(sqrt (* 2 (* x (sqrt x))))
36.0ms	x	@	-inf	(sqrt (* (* 2 (sqrt x)) (sqrt (sqrt x))))
30.0ms	x	@	0	(* (sqrt (* (* 2 x) (sqrt (sqrt x)))) (sqrt (sqrt (* x (sqrt x)))))
17.0ms	x	@	-inf	(sqrt (* x (sqrt (sqrt x))))
16.0ms	x	@	-inf	(sqrt (* (* 2 x) (sqrt (sqrt x))))

rewrite451.0ms (2.8%)

Memory

-20.0MiB live, 604.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 938×	`-lowering-.f32`
7 938×	`-lowering-.f64`
7 260×	`accelerator-lowering-fma.f32`
7 260×	`accelerator-lowering-fma.f64`
2 588×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	24	111
1	66	105
2	209	84
3	860	83
4	4511	83
0	11179	83

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 892

Calls

Call 1

Inputs
(* (sqrt (* 2 x)) (sqrt x))
(sqrt (* 2 x))
(* 2 x)
(sqrt x)
(* (sqrt 2) x)
(sqrt 2)
(* (sqrt (* 2 (* x (sqrt x)))) (sqrt (sqrt x)))
(sqrt (* 2 (* x (sqrt x))))
(* 2 (* x (sqrt x)))
(* x (sqrt x))
(* (sqrt (* (* 2 x) (sqrt (sqrt x)))) (sqrt (sqrt (* x (sqrt x)))))
(sqrt (* (* 2 x) (sqrt (sqrt x))))
(* (* 2 x) (sqrt (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 (sqrt x))
(sqrt (* x (sqrt x)))
(sqrt (* x (sqrt (sqrt x))))
(* x (sqrt (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 #s(literal 2 binary64)) (log.f64 x)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 #s(literal 2 binary64) (*.f64 x x)))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 3/4 binary64) (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x))))))
(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 #s(literal 1/2 binary64) (log.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x))) (.f64 (log.f64 x) #s(literal 3/4 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 (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 x) #s(literal 4 binary64)) (*.f64 x x))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 4 binary64)))) #s(literal 1/4 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 (.f64 x (.f64 x (sqrt.f64 x))) #s(literal 4 binary64)) (.f64 x (sqrt.f64 x)))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 x (sqrt.f64 x)) (.f64 (.f64 x (.f64 x (sqrt.f64 x))) #s(literal 4 binary64)))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (.f64 x (sqrt.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 (.f64 x (sqrt.f64 x)) #s(literal 4 binary64)))) #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 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (sqrt.f64 x)))) (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 x) (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (sqrt.f64 x)))) (sqrt.f64 (*.f64 x (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 (.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 x) #s(literal 4 binary64)) (.f64 x x)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 4 binary64))) #s(literal 1/4 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 (.f64 x (.f64 x (sqrt.f64 x))) #s(literal 4 binary64)) (*.f64 x (sqrt.f64 x))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 x (sqrt.f64 x)) (.f64 (.f64 x (*.f64 x (sqrt.f64 x))) #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 (.f64 x (sqrt.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 (*.f64 x (sqrt.f64 x)) #s(literal 4 binary64))) #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 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 #s(literal 2 binary64) x)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (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 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (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 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (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) (sqrt.f64 x))) (sqrt.f64 (*.f64 x (sqrt.f64 x))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))))) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (.f64 x (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 (.f64 x (.f64 x x)) #s(literal 4 binary64)) #s(literal 1/8 binary64)) (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 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 #s(literal 2 binary64) (sqrt.f64 (.f64 x (sqrt.f64 x)))) (.f64 x (.f64 x (sqrt.f64 x)))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (.f64 x (.f64 x (sqrt.f64 x))) #s(literal 4 binary64)) #s(literal 1/8 binary64)) (pow.f64 (.f64 (.f64 x (sqrt.f64 x)) (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 (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 #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 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 (.f64 x (sqrt.f64 x)))))) (sqrt.f64 (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 (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 (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 (.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 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 (sqrt.f64 x))))) #s(literal 1/4 binary64)) (pow.f64 (.f64 (.f64 x (.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 (pow.f64 (.f64 x (.f64 #s(literal 2 binary64) (.f64 x (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 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (.f64 x (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 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (sqrt.f64 x)))) (.f64 x (.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 (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 (.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 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))))))
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(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))) (fabs.f64 (pow.f64 (.f64 x (sqrt.f64 (.f64 x (sqrt.f64 x)))) #s(literal 3/8 binary64))))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (.f64 x (sqrt.f64 x)))))) (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 (*.f64 x (sqrt.f64 x))))))
(.f64 (pow.f64 (.f64 x (sqrt.f64 (sqrt.f64 x))) #s(literal 3/8 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))))
(.f64 (pow.f64 (.f64 x (sqrt.f64 (.f64 x (sqrt.f64 x)))) #s(literal 3/8 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x))))) #s(literal 3/2 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 (.f64 x (.f64 x (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))))) (neg.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) (pow.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))) #s(literal 3/8 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))) #s(literal 3 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) (sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))) #s(literal 3/4 binary64))))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) (fabs.f64 (pow.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))) #s(literal 3/8 binary64))))
(.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 11/8 binary64) (log.f64 x))))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))))) #s(literal 3 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (.f64 x (sqrt.f64 x))))))) #s(literal 3 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))))
(.f64 (sqrt.f64 (pow.f64 (.f64 x (sqrt.f64 (.f64 x (sqrt.f64 x)))) #s(literal 3/4 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))))
(.f64 (sqrt.f64 (pow.f64 (.f64 x (sqrt.f64 (sqrt.f64 x))) #s(literal 3/4 binary64))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))))
(.f64 (fabs.f64 (pow.f64 (.f64 x (sqrt.f64 (.f64 x (sqrt.f64 x)))) #s(literal 3/8 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))))
(.f64 (fabs.f64 (pow.f64 (.f64 x (sqrt.f64 (sqrt.f64 x))) #s(literal 3/8 binary64))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))))
(.f64 (fabs.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x))))) #s(literal 3/2 binary64))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (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 (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)))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (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 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (*.f64 (log.f64 x) #s(literal 3/4 binary64))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 (log.f64 x) #s(literal 3/4 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 x))))
(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 (.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (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 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(.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 (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x))))) #s(literal 5/4 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 5/8 binary64)))
(.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 (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 (.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 (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)))))))
(.f64 (fabs.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x))))) #s(literal 5/4 binary64))) (fabs.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 5/8 binary64))))
(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 (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 (.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)))))))

simplify7.2s (43.9%)

Memory

2.3MiB live, 925.6MiB allocated

Algorithm

1×	egg-herbie

Rules

28 844×	`accelerator-lowering-fma.f32`
28 844×	`accelerator-lowering-fma.f64`
4 420×	`-lowering-.f32`
4 420×	`-lowering-.f64`
2 102×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	80	1492
1	180	1492
2	441	1480
3	739	1480
4	1053	1480
5	1794	1480
6	2386	1480
7	2566	1480
8	2727	1480
9	2892	1480
10	2985	1480
11	3669	1480
12	4065	1480
13	4133	1480
14	4149	1480
15	4187	1480
16	4195	1480
17	4321	1480
18	4387	1480
19	4422	1480
20	4457	1480
21	4479	1480
22	4603	1480
23	4651	1480
24	4651	1480
25	5299	1480
26	7583	1480
0	8031	1480

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

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

eval228.0ms (1.4%)

Memory: 4.6MiB live, 504.8MiB allocated
Compiler: Compiled 31 905 to 3 385 computations (89.4% saved)

prune134.0ms (0.8%)

Memory

12.3MiB live, 408.7MiB allocated

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	1 771	6	1 777
Fresh	1	1	2
Picked	1	4	5
Done	0	1	1
Total	1 773	12	1 785

Accuracy

100.0%

Counts

1 785 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.1%	(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x)
	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))))
▶	99.1%	(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
▶	99.1%	(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
▶	99.4%	(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) (pow.f64 x #s(literal 5/8 binary64)))
▶	99.0%	(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)))
✓	63.9%	(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))
✓	64.0%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
▶	99.1%	(.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))
✓	99.4%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	51.6%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))

Compiler

Compiled 226 to 146 computations (35.4% saved)

simplify7.0ms (0%)

Memory

15.4MiB live, 15.4MiB 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 (sqrt.f64 (sqrt.f64 x))) (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 x))
✓	cost-diff	0	(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (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 (sqrt.f64 x)))
✓	cost-diff	2240	(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (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 #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)))) (pow.f64 x #s(literal 5/8 binary64)))

Rules

134×	`-lowering-.f32`
134×	`-lowering-.f64`
56×	`associate-r`
54×	`*-commutative`
44×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	189
1	39	189
2	70	182
3	108	182
4	114	182
0	114	182

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (sqrt (* (* 2 (sqrt x)) (sqrt (sqrt x)))) (pow x 5/8))
(sqrt (* (* 2 (sqrt x)) (sqrt (sqrt x))))
(* (* 2 (sqrt x)) (sqrt (sqrt x)))
(* 2 (sqrt x))
2
(sqrt x)
x
(sqrt (sqrt x))
(pow x 5/8)
5/8
(* (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 x)) (sqrt (sqrt x))) (sqrt (sqrt x)))
(* (sqrt (* 2 x)) (sqrt (sqrt x)))
(sqrt (* 2 x))
(* 2 x)
2
x
(sqrt (sqrt x))
(sqrt x)
(* (* (sqrt (* 2 (sqrt x))) (sqrt x)) (sqrt (sqrt x)))
(* (sqrt (* 2 (sqrt x))) (sqrt x))
(sqrt (* 2 (sqrt x)))
(* 2 (sqrt x))
2
(sqrt x)
x
(sqrt (sqrt x))
(* (sqrt (* (* 2 (sqrt x)) (sqrt (sqrt x)))) (* (sqrt (sqrt (sqrt x))) (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 (sqrt (sqrt x))) (sqrt x))
(sqrt (sqrt (sqrt x)))

Outputs
(* (sqrt (* (* 2 (sqrt x)) (sqrt (sqrt x)))) (pow x 5/8))
(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) (pow.f64 x #s(literal 5/8 binary64)))
(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))
(pow x 5/8)
(pow.f64 x #s(literal 5/8 binary64))
5/8
#s(literal 5/8 binary64)
(* (sqrt (* 2 x)) (* (sqrt (sqrt x)) (sqrt (sqrt x))))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 #s(literal 2 binary64) 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 (sqrt x)) (sqrt (sqrt x)))
(sqrt.f64 x)
(sqrt (sqrt x))
(sqrt.f64 (sqrt.f64 x))
(sqrt x)
(sqrt.f64 x)
(* (* (sqrt (* 2 x)) (sqrt (sqrt x))) (sqrt (sqrt x)))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 #s(literal 2 binary64) x)))
(* (sqrt (* 2 x)) (sqrt (sqrt x)))
(.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (.f64 #s(literal 2 binary64) 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 (sqrt x))
(sqrt.f64 (sqrt.f64 x))
(sqrt x)
(sqrt.f64 x)
(* (* (sqrt (* 2 (sqrt x))) (sqrt x)) (sqrt (sqrt x)))
(.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))))
(* (sqrt (* 2 (sqrt x))) (sqrt x))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 #s(literal 2 binary64) (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 (sqrt (sqrt x))) (sqrt x)))
(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) (.f64 (sqrt.f64 x) (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 (sqrt (sqrt x))) (sqrt x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(sqrt (sqrt (sqrt x)))
(sqrt.f64 (sqrt.f64 (sqrt.f64 x)))

localize119.0ms (0.7%)

Memory

-11.3MiB live, 144.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(sqrt.f64 (sqrt.f64 x))
✓	accuracy	99.6%	(.f64 (.f64 #s(literal 2 binary64) (sqrt.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)))) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)))
✓	accuracy	99.5%	(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (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 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x))
✓	accuracy	99.5%	(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (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)) (sqrt.f64 (sqrt.f64 x)))
✓	accuracy	99.5%	(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (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	99.8%	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))
✓	accuracy	99.8%	(sqrt.f64 (sqrt.f64 x))
✓	accuracy	99.6%	(.f64 (.f64 #s(literal 2 binary64) (sqrt.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)))) (pow.f64 x #s(literal 5/8 binary64)))

Samples

52.0ms

256×

valid

Compiler

Compiled 206 to 24 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 20.0ms (56.4% of total)

ival-sqrt: 10.0ms (28.2% of total)

ival-pow: 6.0ms (16.9% of total)

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

exact: 0.0ms (0% of total)

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

series48.0ms (0.3%)

Memory

-25.2MiB live, 39.6MiB allocated

Counts

17 → 204

Calls

Call 1

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

Calls

51 calls:

Time	Variable		Point	Expression
29.0ms	x	@	-inf	(* (sqrt (sqrt (sqrt x))) (sqrt x))
13.0ms	x	@	-inf	(* (sqrt (* (* 2 (sqrt x)) (sqrt (sqrt x)))) (pow x 5/8))
1.0ms	x	@	-inf	(* (sqrt (* 2 (sqrt x))) (sqrt x))
0.0ms	x	@	-inf	(sqrt (* 2 (sqrt x)))
0.0ms	x	@	0	(* (sqrt (sqrt x)) (sqrt (sqrt x)))

rewrite259.0ms (1.6%)

Memory

11.9MiB live, 441.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 524×	`accelerator-lowering-fma.f32`
6 524×	`accelerator-lowering-fma.f64`
3 662×	`-lowering-.f32`
3 662×	`-lowering-.f64`
1 896×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	125
1	66	117
2	257	69
3	1092	69
4	4016	69
0	8133	69

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 712

Calls

Call 1

Inputs
(* (sqrt (* (* 2 (sqrt x)) (sqrt (sqrt x)))) (pow x 5/8))
(sqrt (* (* 2 (sqrt x)) (sqrt (sqrt x))))
(* (* 2 (sqrt x)) (sqrt (sqrt x)))
(* 2 (sqrt x))
(* (sqrt (sqrt x)) (sqrt (sqrt x)))
(* (sqrt (* 2 x)) (* (sqrt (sqrt x)) (sqrt (sqrt x))))
(sqrt (* 2 x))
(* 2 x)
(* (* (sqrt (* 2 x)) (sqrt (sqrt x))) (sqrt (sqrt x)))
(* (sqrt (* 2 x)) (sqrt (sqrt x)))
(* (* (sqrt (* 2 (sqrt x))) (sqrt x)) (sqrt (sqrt x)))
(* (sqrt (* 2 (sqrt x))) (sqrt x))
(sqrt (* 2 (sqrt x)))
(* (sqrt (* (* 2 (sqrt x)) (sqrt (sqrt x)))) (* (sqrt (sqrt (sqrt x))) (sqrt x)))
(sqrt (sqrt x))
(sqrt x)
(* (sqrt (sqrt (sqrt x))) (sqrt x))

Outputs
(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 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (sqrt.f64 x))))) (*.f64 #s(literal 5/8 binary64) (log.f64 x))))
(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 x x) (.f64 x (*.f64 x #s(literal 4 binary64))))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (*.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)))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(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 (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 (.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (.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))))
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(pow.f64 (pow.f64 (exp.f64 #s(literal 5/2 binary64)) #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 5/2 binary64)) #s(literal 1/8 binary64)) (log.f64 (*.f64 x x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 5/4 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 5/4 binary64)) #s(literal 1/2 binary64)) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 5/4 binary64)) #s(literal 1 binary64)) (*.f64 (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 (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 (.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))))) (pow.f64 x #s(literal 15/32 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))))) (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) #s(literal 5/2 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))))) (pow.f64 (exp.f64 #s(literal 5/4 binary64)) (*.f64 #s(literal 3/8 binary64) (log.f64 x))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (.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 (pow.f64 x #s(literal 15/32 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))))))
(.f64 (pow.f64 x #s(literal 15/64 binary64)) (pow.f64 (.f64 x (sqrt.f64 (sqrt.f64 x))) #s(literal 5/16 binary64)))
(.f64 (pow.f64 x #s(literal 5/64 binary64)) (pow.f64 (sqrt.f64 (.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))) #s(literal 5/8 binary64)))
(.f64 (pow.f64 x #s(literal 5/64 binary64)) (pow.f64 (.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 5/16 binary64)))
(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(.f64 (pow.f64 (sqrt.f64 (.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))) #s(literal 5/8 binary64)) (pow.f64 x #s(literal 5/64 binary64)))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))))) #s(literal 5/2 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))))
(.f64 (pow.f64 (.f64 x (sqrt.f64 (sqrt.f64 x))) #s(literal 5/16 binary64)) (pow.f64 x #s(literal 15/64 binary64)))
(.f64 (pow.f64 (.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 5/16 binary64)) (pow.f64 x #s(literal 5/64 binary64)))
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(.f64 (exp.f64 (.f64 #s(literal 5/8 binary64) (/.f64 (log.f64 x) #s(literal 2 binary64)))) (exp.f64 (*.f64 #s(literal 5/8 binary64) (/.f64 (log.f64 x) #s(literal 2 binary64)))))
(.f64 (pow.f64 (exp.f64 #s(literal 5/16 binary64)) (.f64 (log.f64 x) #s(literal 1/4 binary64))) (pow.f64 (exp.f64 #s(literal 5/16 binary64)) (*.f64 #s(literal 7/4 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 5/8 binary64)) (.f64 (log.f64 x) #s(literal 1/8 binary64))) (pow.f64 (exp.f64 #s(literal 5/8 binary64)) (*.f64 #s(literal 7/8 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 5/8 binary64)) (.f64 #s(literal 7/8 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 5/8 binary64)) (*.f64 (log.f64 x) #s(literal 1/8 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 5/4 binary64)) (.f64 #s(literal 3/8 binary64) (log.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))))
(.f64 (pow.f64 (exp.f64 #s(literal 5/16 binary64)) (.f64 #s(literal 7/4 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 5/16 binary64)) (*.f64 (log.f64 x) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 5/16 binary64)) (.f64 (log.f64 x) #s(literal 3/4 binary64))) (pow.f64 (exp.f64 #s(literal 5/16 binary64)) (*.f64 (log.f64 x) #s(literal 5/4 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 5/16 binary64)) (.f64 (log.f64 x) #s(literal 5/4 binary64))) (pow.f64 (exp.f64 #s(literal 5/16 binary64)) (*.f64 (log.f64 x) #s(literal 3/4 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 5/2 binary64)) (.f64 (log.f64 x) #s(literal 1/8 binary64))) (pow.f64 (exp.f64 #s(literal 5/2 binary64)) (*.f64 (log.f64 x) #s(literal 1/8 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 5/2 binary64)) (.f64 (log.f64 x) #s(literal 1/16 binary64))) (pow.f64 (exp.f64 #s(literal 5/2 binary64)) (*.f64 #s(literal 3/16 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 5/2 binary64)) (.f64 #s(literal 3/16 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 5/2 binary64)) (*.f64 (log.f64 x) #s(literal 1/16 binary64))))

simplify1.2s (7.3%)

Memory

11.4MiB live, 715.8MiB allocated

Algorithm

1×	egg-herbie

Rules

21 868×	`accelerator-lowering-fma.f32`
21 868×	`accelerator-lowering-fma.f64`
4 792×	`-lowering-.f32`
4 792×	`-lowering-.f64`
2 728×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	73	1248
1	164	1248
2	433	1228
3	846	1228
4	1336	1228
5	2443	1228
6	3183	1228
7	3396	1228
8	3566	1228
9	3766	1228
10	3852	1228
11	4785	1228
12	5170	1228
13	5173	1228
14	5176	1228
15	5179	1228
16	5182	1228
17	5185	1228
18	5188	1228
19	5191	1228
20	5194	1228
21	5197	1228
22	5200	1228
23	5203	1228
24	5206	1228
25	5209	1228
26	5212	1228
27	5215	1228
28	5218	1228
29	5221	1228
30	5224	1228
31	5227	1228
32	5230	1228
33	5233	1228
34	5236	1228
35	5239	1228
36	5242	1228
37	5245	1228
38	5248	1228
39	5251	1228
40	5254	1228
41	5257	1228
42	5260	1228
43	5263	1228
44	5266	1228
45	5269	1228
46	5272	1228
47	5275	1228
48	5278	1228
49	5281	1228
50	5284	1228
51	5287	1228
52	5290	1228
53	5293	1228
54	5296	1228
55	5299	1228
56	5302	1228
57	5305	1228
58	5308	1228
59	5311	1228
60	5314	1228
61	5317	1228
62	5320	1228
63	5323	1228
64	5326	1228
65	5329	1228
66	5332	1228
67	5335	1228
68	5338	1228
69	5341	1228
70	5344	1228
71	5347	1228
72	5350	1228
73	5353	1228
74	5356	1228
75	5359	1228
76	5362	1228
77	5365	1228
78	5368	1228
79	6935	1228
0	8383	1228

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

Outputs
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* (pow -1 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (* x (sqrt 2)))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64)) (*.f64 x (pow.f64 #s(literal -1 binary64) #s(literal 9/8 binary64)))))
(* -1 (* (pow -1 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (* x (sqrt 2)))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64)) (*.f64 x (pow.f64 #s(literal -1 binary64) #s(literal 9/8 binary64)))))
(* -1 (* (pow -1 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (* x (sqrt 2)))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64)) (*.f64 x (pow.f64 #s(literal -1 binary64) #s(literal 9/8 binary64)))))
(* -1 (* (pow -1 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (* x (sqrt 2)))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64)) (*.f64 x (pow.f64 #s(literal -1 binary64) #s(literal 9/8 binary64)))))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 3)) 1/8) (sqrt 2))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))
(* (pow (* -1 (pow x 3)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt 2)))
(.f64 (pow.f64 (neg.f64 (.f64 x (.f64 x x))) #s(literal 1/8 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64))))
(* (pow (* -1 (pow x 3)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt 2)))
(.f64 (pow.f64 (neg.f64 (.f64 x (.f64 x x))) #s(literal 1/8 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64))))
(* (pow (* -1 (pow x 3)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt 2)))
(.f64 (pow.f64 (neg.f64 (.f64 x (.f64 x x))) #s(literal 1/8 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64))))
(* (pow (* -1 (pow x 3)) 1/8) (* (pow (* 1 (pow (sqrt -1) 3)) 1/4) (sqrt 2)))
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(*.f64 (pow.f64 (neg.f64 (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 (neg.f64 (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 (neg.f64 (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 (neg.f64 (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)))

eval318.0ms (1.9%)

Memory: 20.9MiB live, 525.7MiB allocated
Compiler: Compiled 41 654 to 3 496 computations (91.6% saved)

prune191.0ms (1.2%)

Memory

-15.0MiB live, 470.6MiB allocated

Pruning

14 alts after pruning (4 fresh and 10 done)

	Pruned	Kept	Total
New	2 311	3	2 314
Fresh	1	1	2
Picked	0	5	5
Done	0	5	5
Total	2 312	14	2 326

Accuracy

100.0%

Counts

2 326 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x)
▶	99.2%	(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (pow.f64 x #s(literal 1/4 binary64)))
✓	99.1%	(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
▶	98.8%	(.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
✓	99.1%	(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
▶	98.9%	(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))
✓	99.4%	(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) (pow.f64 x #s(literal 5/8 binary64)))
✓	99.0%	(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)))
✓	63.9%	(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))
✓	64.0%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
✓	99.1%	(.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))
✓	99.4%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	51.6%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))

Compiler

Compiled 173 to 111 computations (35.8% saved)

simplify23.0ms (0.1%)

Memory

5.8MiB live, 43.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
✓	cost-diff	0	(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x)
✓	cost-diff	12288	(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
✓	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 x))
✓	cost-diff	0	(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (pow.f64 x #s(literal 1/4 binary64)))
✓	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 (sqrt.f64 x)))
✓	cost-diff	2240	(.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
✓	cost-diff	2880	(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
✓	cost-diff	1600	(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (*.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)))

Rules

798×	`-lowering-.f32`
798×	`-lowering-.f64`
756×	`associate-r`
476×	`associate-l`
190×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	113
1	43	113
2	100	105
3	289	105
4	574	105
5	978	105
6	983	105
7	983	105
0	983	105

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize91.0ms (0.6%)

Memory

41.9MiB live, 152.2MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
✓	accuracy	99.4%	(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x)
✓	accuracy	98.4%	(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.8%	(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
✓	accuracy	99.5%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x))
✓	accuracy	99.5%	(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (pow.f64 x #s(literal 1/4 binary64)))
✓	accuracy	99.8%	(sqrt.f64 (sqrt.f64 x))
✓	accuracy	99.5%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x)))
✓	accuracy	99.5%	(.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
✓	accuracy	99.3%	(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
✓	accuracy	99.8%	(sqrt.f64 (sqrt.f64 x))
✓	accuracy	99.5%	(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))
✓	accuracy	99.3%	(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	99.2%	(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))

Samples

52.0ms

256×

valid

Compiler

Compiled 144 to 25 computations (82.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 14.0ms (36.9% of total)

ival-sqrt: 13.0ms (34.2% of total)

ival-pow: 8.0ms (21.1% of total)

ival-pow2: 2.0ms (5.3% of total)

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

exact: 0.0ms (0% of total)

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

series73.0ms (0.4%)

Memory

-33.8MiB live, 44.5MiB allocated

Counts

16 → 168

Calls

Call 1

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

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

Calls

42 calls:

Time	Variable		Point	Expression
33.0ms	x	@	0	(* (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))
8.0ms	x	@	-inf	(* (* (sqrt (* 2 (sqrt x))) (sqrt x)) (pow x 1/4))
7.0ms	x	@	-inf	(* (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))
1.0ms	x	@	-inf	(* (sqrt x) (sqrt 2))
0.0ms	x	@	0	(* (* (sqrt (* 2 x)) (sqrt (sqrt x))) (* (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))))

rewrite563.0ms (3.4%)

Memory

42.3MiB live, 605.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 224×	`accelerator-lowering-fma.f32`
9 224×	`accelerator-lowering-fma.f64`
3 796×	`-lowering-.f32`
3 796×	`-lowering-.f64`
1 400×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	73
1	82	59
2	308	59
3	1663	51
4	6556	51
0	8572	51

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 761

Calls

Call 1

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

Outputs
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/8 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1/16 binary64)) #s(literal 8 binary64)))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 1/4 binary64))) (log.f64 (.f64 x x))))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 1/4 binary64))) (.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (log.f64 x))))
(exp.f64 (.f64 (log.f64 (.f64 (exp.f64 #s(literal 1/4 binary64)) (exp.f64 #s(literal 1/4 binary64)))) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log.f64 x)))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 1 binary64))) (.f64 (log.f64 x) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 4 binary64))) (.f64 (log.f64 x) #s(literal 1/8 binary64))))
(fabs.f64 (sqrt.f64 x))
(fabs.f64 (neg.f64 (sqrt.f64 x)))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 x))))
(sqrt.f64 x)
(pow.f64 x #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #s(literal 8 binary64))
(pow.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/8 binary64))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 (*.f64 x x)))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 x)))
(pow.f64 (*.f64 (exp.f64 #s(literal 1/4 binary64)) (exp.f64 #s(literal 1/4 binary64))) (log.f64 x))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 x))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (*.f64 (log.f64 x) #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))))) (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 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) #s(literal 1 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) #s(literal 4 binary64)) (pow.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) #s(literal 4 binary64)))
(.f64 (pow.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) #s(literal 4 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (log.f64 x)))
(exp.f64 (*.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (+.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 x) #s(literal 0 binary64)) #s(literal 4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 x (.f64 x #s(literal 2 binary64))) (.f64 x (.f64 x #s(literal 2 binary64))))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 x x) (.f64 #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (*.f64 x x))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (exp.f64 (log.f64 (.f64 x (*.f64 x #s(literal 2 binary64)))))) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 x (.f64 x #s(literal 2 binary64))))
(sqrt.f64 (.f64 #s(literal 1 binary64) (.f64 x x)))
(sqrt.f64 (.f64 (.f64 x x) #s(literal 1 binary64)))
(pow.f64 (.f64 x (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #s(literal 4 binary64))
(pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 x (.f64 x #s(literal 2 binary64))) (.f64 x (*.f64 x #s(literal 2 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 x x) (.f64 #s(literal 4 binary64) (.f64 x x))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 x x)) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (.f64 x (.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(*.f64 x #s(literal 1 binary64))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (.f64 x (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))))
(.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 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 x)))
(.f64 (sqrt.f64 (.f64 x (.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) x)
(.f64 #s(literal 1 binary64) (.f64 x #s(literal 1 binary64)))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 1 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 1 binary64)) (sqrt.f64 (.f64 x (sqrt.f64 (.f64 x (sqrt.f64 x))))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (.f64 x (.f64 (sqrt.f64 x) #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (*.f64 x (sqrt.f64 x))))
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.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)))) (pow.f64 (.f64 (.f64 x (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (pow.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 (.f64 x (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (*.f64 x (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 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 (.f64 x (sqrt.f64 x)))))) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))) (sqrt.f64 (.f64 x (.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (.f64 x (.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))
(.f64 (.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))
(.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))))) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (.f64 x (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))))
(.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 x (sqrt.f64 (.f64 x (sqrt.f64 x))))) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(.f64 (pow.f64 (.f64 (.f64 x (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (.f64 x (.f64 (sqrt.f64 x) #s(literal 2 binary64))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
(.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) #s(literal 1 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(.f64 (sqrt.f64 (.f64 (.f64 x (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) #s(literal 0 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 4 binary64) (*.f64 x x))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (fma.f64 (log.f64 x) #s(literal 1/8 binary64) #s(literal 0 binary64)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (+.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 8 binary64) (.f64 x (.f64 x (*.f64 x x))))) #s(literal 1/8 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 16 binary64))) #s(literal 1/8 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 16 binary64) (.f64 x (.f64 x (*.f64 x x))))) #s(literal 1/8 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/8 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 x (sqrt.f64 x)) (.f64 (sqrt.f64 x) #s(literal 4 binary64)))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 4 binary64)) (.f64 x (sqrt.f64 x)))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 x (.f64 x (*.f64 x x))))) #s(literal 1/8 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 2 binary64))) #s(literal 1/8 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 8 binary64))) #s(literal 1/8 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 4 binary64))) #s(literal 1/8 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 x x) (.f64 #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1/8 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 4 binary64) (.f64 x (.f64 x (*.f64 x x))))) #s(literal 1/8 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (*.f64 x x))) #s(literal 1/8 binary64)))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log.f64 (.f64 x #s(literal 2 binary64)))))
(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
(sqrt.f64 (*.f64 x #s(literal 1 binary64)))
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (.f64 x (.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 1 binary64)) #s(literal 4 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) #s(literal 1/4 binary64))
(pow.f64 (.f64 #s(literal 8 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/8 binary64))
(pow.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 16 binary64)) #s(literal 1/8 binary64))
(pow.f64 (.f64 #s(literal 16 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/8 binary64))
(pow.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 #s(literal 4 binary64) (*.f64 x x))) #s(literal 1/8 binary64))
(pow.f64 (.f64 (.f64 x (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 4 binary64)) (*.f64 x (sqrt.f64 x))) #s(literal 1/4 binary64))
(pow.f64 (.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/8 binary64))
(pow.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 2 binary64)) #s(literal 1/8 binary64))
(pow.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 8 binary64)) #s(literal 1/8 binary64))
(pow.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (.f64 (.f64 x x) (.f64 #s(literal 4 binary64) (.f64 x x))) #s(literal 1/8 binary64))
(pow.f64 (.f64 #s(literal 4 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/8 binary64))
(pow.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 x x)) #s(literal 1/8 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 x #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 1 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 1 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (sqrt.f64 x))))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 x)))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 (.f64 x (sqrt.f64 x))))) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 1 binary64)))
(.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (pow.f64 (.f64 (.f64 x (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))))) (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) (pow.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (.f64 x (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (sqrt.f64 x))))) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 (.f64 x (sqrt.f64 x))))) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(.f64 (pow.f64 (.f64 (.f64 x (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
(.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))))))
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(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(.f64 (pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 x)) (exp.f64 (log.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 x)))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
(.f64 (exp.f64 (log.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 x)))
#s(literal 1 binary64)
(exp.f64 (+.f64 #s(literal 0 binary64) (log.f64 x)))
(exp.f64 (*.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (+.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 x) #s(literal 0 binary64)) #s(literal 4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 x (.f64 x #s(literal 2 binary64))) (.f64 x (.f64 x #s(literal 2 binary64))))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 x x) (.f64 #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (*.f64 x x))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (exp.f64 (log.f64 (.f64 x (*.f64 x #s(literal 2 binary64)))))) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 x (.f64 x #s(literal 2 binary64))))
(sqrt.f64 (.f64 #s(literal 1 binary64) (.f64 x x)))
(sqrt.f64 (.f64 (.f64 x x) #s(literal 1 binary64)))
(pow.f64 (.f64 x (.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #s(literal 4 binary64))
(pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 x (.f64 x #s(literal 2 binary64))) (.f64 x (*.f64 x #s(literal 2 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 x x) (.f64 #s(literal 4 binary64) (.f64 x x))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 x x)) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (.f64 x (.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(*.f64 x #s(literal 1 binary64))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (.f64 x (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))))
(.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 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 x)))
(.f64 (sqrt.f64 (.f64 x (.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) x)
(.f64 #s(literal 1 binary64) (.f64 x #s(literal 1 binary64)))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 1 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 1 binary64)) (sqrt.f64 (.f64 x (sqrt.f64 (.f64 x (sqrt.f64 x))))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (.f64 x (.f64 (sqrt.f64 x) #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (*.f64 x (sqrt.f64 x))))
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.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)))) (pow.f64 (.f64 (.f64 x (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (pow.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 (.f64 x (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (*.f64 x (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 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 (.f64 x (sqrt.f64 x)))))) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))) (sqrt.f64 (.f64 x (.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (.f64 x (.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))
(.f64 (.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))
(.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))))) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (.f64 x (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))))
(.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 x (sqrt.f64 (.f64 x (sqrt.f64 x))))) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(.f64 (pow.f64 (.f64 (.f64 x (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (.f64 x (.f64 (sqrt.f64 x) #s(literal 2 binary64))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
(.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) #s(literal 1 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(.f64 (sqrt.f64 (.f64 (.f64 x (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
#s(literal 1 binary64)
(exp.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1/16 binary64)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/4 binary64))) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/16 binary64)))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (.f64 (log.f64 x) #s(literal 1/8 binary64))))
(exp.f64 (.f64 (log.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) #s(literal 2 binary64))) (.f64 (log.f64 x) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) (log.f64 (.f64 x x))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) #s(literal 1 binary64))) (log.f64 x)))
(exp.f64 (.f64 (log.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (log.f64 x))))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (.f64 (log.f64 x) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 1 binary64))) (.f64 #s(literal 1/4 binary64) (log.f64 x))))
(exp.f64 (.f64 (log.f64 (exp.f64 (log.f64 (.f64 x x)))) #s(literal 1/8 binary64)))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 1/8 binary64))) (log.f64 (.f64 x x))))
(fabs.f64 (sqrt.f64 (sqrt.f64 x)))
(fabs.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x))))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x)))))
(sqrt.f64 (sqrt.f64 x))
(pow.f64 x #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/8 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #s(literal 4 binary64))
(pow.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/16 binary64))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 x))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 1/8 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (log.f64 (*.f64 x x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) #s(literal 1 binary64)) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 x)))
(pow.f64 (exp.f64 (log.f64 (*.f64 x x))) #s(literal 1/8 binary64))
(pow.f64 (exp.f64 #s(literal 1/8 binary64)) (log.f64 (*.f64 x x)))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))))) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (pow.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) #s(literal 2 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (pow.f64 (sqrt.f64 (.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (pow.f64 (.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 1/8 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) (pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) (pow.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))) #s(literal 1/8 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (neg.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) #s(literal 4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/64 binary64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 x #s(literal 3/64 binary64)) #s(literal 4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/64 binary64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 x #s(literal 1/64 binary64)) #s(literal 4 binary64)))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))))) #s(literal 1 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(.f64 (pow.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))))
(.f64 (pow.f64 (sqrt.f64 (.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
(.f64 (pow.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(.f64 (pow.f64 (.f64 x (sqrt.f64 (sqrt.f64 x))) #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))))
(.f64 (pow.f64 (.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 1/8 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))

simplify1.8s (11.1%)

Memory

-15.8MiB live, 1 192.9MiB allocated

Algorithm

1×	egg-herbie

Rules

51 648×	`accelerator-lowering-fma.f32`
51 648×	`accelerator-lowering-fma.f64`
5 016×	`-lowering-.f32`
5 016×	`-lowering-.f64`
3 726×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	53	928
1	129	928
2	399	916
3	883	916
4	1418	916
5	2526	916
6	3231	916
7	3406	916
8	3518	916
9	3656	916
10	3710	916
11	4467	916
12	4660	916
13	4687	916
14	4690	916
15	4693	916
16	4696	916
17	4699	916
18	4702	916
19	4705	916
20	4708	916
21	4711	916
22	4714	916
23	4717	916
24	4720	916
25	4723	916
26	4726	916
27	4729	916
28	4732	916
29	4735	916
30	4738	916
31	4741	916
32	4744	916
33	4747	916
34	4750	916
35	4753	916
36	4756	916
37	4759	916
38	4762	916
39	6120	916
0	8103	916

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

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

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

eval253.0ms (1.5%)

Memory: -6.9MiB live, 376.1MiB allocated
Compiler: Compiled 29 055 to 2 709 computations (90.7% saved)

prune141.0ms (0.9%)

Memory

9.5MiB live, 446.4MiB allocated

Pruning

15 alts after pruning (1 fresh and 14 done)

	Pruned	Kept	Total
New	1 568	1	1 569
Fresh	0	0	0
Picked	0	4	4
Done	0	10	10
Total	1 568	15	1 583

Accuracy

100.0%

Counts

1 583 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.1%	(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x)
✓	99.2%	(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (pow.f64 x #s(literal 1/4 binary64)))
✓	99.1%	(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
✓	98.8%	(.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
✓	99.1%	(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
✓	98.9%	(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))
✓	99.4%	(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) (pow.f64 x #s(literal 5/8 binary64)))
✓	99.0%	(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)))
✓	63.9%	(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))
✓	64.0%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
✓	99.1%	(.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))
✓	99.4%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
	20.3%	(*.f64 x #s(literal 1 binary64))
✓	51.6%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))

Compiler

Compiled 378 to 172 computations (54.5% saved)

regimes259.0ms (1.6%)

Memory

16.6MiB live, 55.6MiB allocated

Counts

18 → 1

Calls

Call 1

Inputs
(*.f64 x #s(literal 1 binary64))
(*.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))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 x (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 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (sqrt.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 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)))
(.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) (pow.f64 x #s(literal 5/8 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) 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:

243.0ms	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))
5.0ms	x
5.0ms	(.f64 #s(literal 2 binary64) (.f64 x x))
5.0ms	(*.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)

regimes177.0ms (1.1%)

Memory

-11.5MiB live, 27.8MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
(*.f64 x #s(literal 1 binary64))
(*.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:

171.0ms	(.f64 #s(literal 2 binary64) (.f64 x x))
2.0ms	x
2.0ms	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))`
99.4%	1	`(.f64 #s(literal 2 binary64) (.f64 x x))`
99.4%	1	`(*.f64 x x)`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes5.0ms (0%)

Memory

11.1MiB live, 11.1MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 x #s(literal 1 binary64))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
20.3%	1	`x`
20.3%	1	`(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))`
20.3%	1	`(.f64 #s(literal 2 binary64) (.f64 x x))`
20.3%	1	`(*.f64 x x)`

Compiler

Compiled 19 to 12 computations (36.8% saved)

simplify6.0ms (0%)

Memory

11.2MiB live, 11.2MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`*-rgt-identity_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	17	12

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)
(*.f64 x #s(literal 1 binary64))

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)))
(*.f64 x #s(literal 1 binary64))
x

soundness1.1s (7%)

Memory

-32.9MiB live, 510.8MiB allocated

Rules

9 224×	`accelerator-lowering-fma.f32`
9 224×	`accelerator-lowering-fma.f64`
7 938×	`-lowering-.f32`
7 938×	`-lowering-.f64`
7 260×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	73
1	82	59
2	308	59
3	1663	51
4	6556	51
0	8572	51
0	5	14
1	14	13
2	43	12
3	120	12
4	577	12
5	3941	12
0	8197	12
0	22	125
1	66	117
2	257	69
3	1092	69
4	4016	69
0	8133	69
0	24	111
1	66	105
2	209	84
3	860	83
4	4511	83
0	11179	83

Stop Event

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

Compiler

Compiled 61 to 40 computations (34.4% saved)

preprocess35.0ms (0.2%)

Memory: 1.8MiB live, 66.6MiB allocated
Compiler: Compiled 88 to 62 computations (29.5% 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	23	113
1	43	113
2	100	105
3	289	105
4	574	105
5	978	105
6	983	105
7	983	105
0	983	105

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	23	113
1	43	113
2	100	105
3	289	105
4	574	105
5	978	105
6	983	105
7	983	105
0	983	105

analyze0.0ms (0%)

sample565.0ms (3.5%)

preprocess16.0ms (0.1%)

explain310.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize22.0ms (0.1%)

series3.0ms (0%)

rewrite300.0ms (1.8%)

simplify15.0ms (0.1%)

eval32.0ms (0.2%)

prune31.0ms (0.2%)

simplify7.0ms (0%)

localize99.0ms (0.6%)

series247.0ms (1.5%)

rewrite451.0ms (2.8%)

simplify7.2s (43.9%)

eval228.0ms (1.4%)

prune134.0ms (0.8%)

simplify7.0ms (0%)

localize119.0ms (0.7%)

series48.0ms (0.3%)

rewrite259.0ms (1.6%)

simplify1.2s (7.3%)

eval318.0ms (1.9%)

prune191.0ms (1.2%)

simplify23.0ms (0.1%)

localize91.0ms (0.6%)

series73.0ms (0.4%)

rewrite563.0ms (3.4%)

simplify1.8s (11.1%)

eval253.0ms (1.5%)

prune141.0ms (0.9%)

regimes259.0ms (1.6%)

regimes177.0ms (1.1%)

regimes5.0ms (0%)

simplify6.0ms (0%)

soundness1.1s (7%)

preprocess35.0ms (0.2%)

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

Iter	Nodes	Cost
0	23	113
1	43	113
2	100	105
3	289	105
4	574	105
5	978	105
6	983	105
7	983	105
0	983	105