Metrics for sqrt C (should all be same)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

1.0MiB live, 1.1MiB 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)

sample602.0ms (4.5%)

Memory

-8.0MiB live, 998.0MiB allocated

Samples

406.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 226.0ms

ival-mult: 147.0ms (65.2% of total)

ival-sqrt: 64.0ms (28.4% of total)

ival-true: 6.0ms (2.7% of total)

exact: 5.0ms (2.2% of total)

ival-assert: 3.0ms (1.3% of total)

Bogosity

explain64.0ms (0.5%)

Memory

2.4MiB live, 118.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
107	-	1	(-2.209966675718335e-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	53	0
↳	`(.f64 #s(literal 2 binary64) (.f64 x x))`	underflow	53
↳	`(*.f64 x x)`	underflow	53
`sqrt.f64`	`(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))`	oflow-rescue	53	0
↳	`(.f64 #s(literal 2 binary64) (.f64 x x))`	overflow	53
↳	`(*.f64 x x)`	overflow	53

Confusion

	Predicted +	Predicted -
+	106	1
-	0	149

Precision

1.0

Recall

0.9906542056074766

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	106	0	1
-	0	0	149

Precision?

1.0

Recall?

0.9906542056074766

Freqs

test

number	freq
0	150
1	106

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

21.0ms

512×

valid

Compiler

Compiled 43 to 19 computations (55.8% saved)

Precisions

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

ival-mult: 7.0ms (63.3% of total)

ival-sqrt: 3.0ms (27.1% of total)

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

exact: 0.0ms (0% of total)

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

preprocess16.0ms (0.1%)

Memory

32.8MiB live, 32.8MiB 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
0	8	6
1	11	6
2	14	6
0	14	6

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs x)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.4%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify7.0ms (0.1%)

Memory

-30.5MiB live, 6.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

14×	`lower-*.f32`
10×	`lower-*.f64`
6×	`*-commutative`
4×	`lift-*.f64`
2×	`lift-sqrt.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	16
0	8	16
1	11	16
2	14	16
0	14	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize24.0ms (0.2%)

Memory

-1.8MiB live, 41.4MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0	(.f64 #s(literal 2 binary64) (.f64 x x))
accuracy	24.68929025154347	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))

Samples

10.0ms

256×

valid

Compiler

Compiled 18 to 7 computations (61.1% saved)

Precisions

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

ival-mult: 3.0ms (54% of total)

ival-sqrt: 2.0ms (36% 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

6.4MiB live, 6.4MiB allocated

Counts

3 → 36

Calls

Call 1

Inputs
#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x))) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) (.f64 x x)) (patch (.f64 #s(literal 2 binary64) (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())

Inputs

#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) #<representation binary64>) () ())

#s(alt (*.f64 #s(literal 2 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())

#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())

Outputs
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x))) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x))) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x))) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x))) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x))) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x))) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x))) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x))) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x))) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x))) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x))) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x))) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) (.f64 x x)) (patch (.f64 #s(literal 2 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) (.f64 x x)) (patch (.f64 #s(literal 2 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) (.f64 x x)) (patch (.f64 #s(literal 2 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) (.f64 x x)) (patch (.f64 #s(literal 2 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor inf x) (#s(alt (.f64 #s(literal 2 binary64) (.f64 x x)) (patch (.f64 #s(literal 2 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor inf x) (#s(alt (.f64 #s(literal 2 binary64) (.f64 x x)) (patch (.f64 #s(literal 2 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor inf x) (#s(alt (.f64 #s(literal 2 binary64) (.f64 x x)) (patch (.f64 #s(literal 2 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor inf x) (#s(alt (.f64 #s(literal 2 binary64) (.f64 x x)) (patch (.f64 #s(literal 2 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(literal 2 binary64) (.f64 x x)) (patch (.f64 #s(literal 2 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(literal 2 binary64) (.f64 x x)) (patch (.f64 #s(literal 2 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(literal 2 binary64) (.f64 x x)) (patch (.f64 #s(literal 2 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(literal 2 binary64) (.f64 x x)) (patch (.f64 #s(literal 2 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())

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)

simplify6.0ms (0%)

Memory

10.6MiB live, 10.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Counts

36 → 36

Calls

Call 1

Inputs
(* 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)

rewrite186.0ms (1.4%)

Memory

-22.1MiB live, 302.2MiB allocated

Rules

6 020×	`lower-fma.f64`
6 020×	`lower-fma.f32`
3 692×	`lower-*.f32`
3 688×	`lower-*.f64`
1 894×	`lower-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	5	14
0	8	14
1	17	13
2	46	12
3	123	12
4	580	12
5	3914	12
0	8179	12

Stop Event

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

Counts

3 → 226

Calls

Call 1

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

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

eval30.0ms (0.2%)

Memory: 16.6MiB live, 54.1MiB allocated
Compiler: Compiled 3 673 to 729 computations (80.2% saved)

prune6.4s (47.3%)

Memory

-1.9MiB live, 74.8MiB allocated

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	253	9	262
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	253	10	263

Accuracy

100.0%

Counts

263 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
	99.4%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))))
	82.5%	(.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)))))
	75.1%	(.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
▶	74.8%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
▶	99.5%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
▶	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
▶	61.3%	(sqrt.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (.f64 x (sqrt.f64 x)))))
	61.3%	(sqrt.f64 (.f64 (.f64 x (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
✓	61.4%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))

Compiler

Compiled 215 to 141 computations (34.4% saved)

simplify7.0ms (0.1%)

Memory

21.6MiB live, 21.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

142×	`lower-*.f32`
122×	`lower-*.f64`
58×	`associate-r`
50×	`*-commutative`
46×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	134
0	39	129
1	55	129
2	86	129
3	124	129
4	133	129
0	133	129

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize173.0ms (1.3%)

Memory

0.3MiB live, 98.2MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
accuracy	0.20703125	(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
accuracy	0.28125	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
accuracy	0.1796875	(.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (.f64 x (sqrt.f64 x))))
accuracy	0.203125	(.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))
accuracy	16.19947613015416	(sqrt.f64 (*.f64 x (sqrt.f64 x)))
accuracy	24.68929025154347	(sqrt.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (.f64 x (sqrt.f64 x)))))
accuracy	0.1328125	(sqrt.f64 (sqrt.f64 x))
accuracy	0.1640625	(*.f64 x (sqrt.f64 x))
accuracy	0.3639450195368841	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
accuracy	16.407995918530133	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 x))))
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.453125	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
accuracy	0	(*.f64 #s(literal 2 binary64) x)
accuracy	0	(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
accuracy	0	(sqrt.f64 x)
accuracy	0.34603500976844204	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))

Samples

54.0ms

256×

valid

Compiler

Compiled 136 to 23 computations (83.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-sqrt: 19.0ms (46.2% of total)

ival-mult: 18.0ms (43.8% of total)

ival-pow: 4.0ms (9.7% of total)

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

exact: 0.0ms (0% of total)

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

series393.0ms (2.9%)

Memory

-14.3MiB live, 122.6MiB allocated

Counts

18 → 192

Calls

Call 1

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

Outputs
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) (patch (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) (patch (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) (patch (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) (patch (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) (patch (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) (patch (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) (patch (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) (patch (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) (patch (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) (patch (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) (patch (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) (patch (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 x)))) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 x)))) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 x)))) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 x)))) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 x)))) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 x)))) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 x)))) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 x)))) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1)))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 x)))) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1)))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 x)))) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 x)))) #<representation binary64>) () ())) ())
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#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) (patch (.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)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor -inf x) (#s(alt (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) (patch (.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)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor -inf x) (#s(alt (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) (patch (.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)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor -inf x) (#s(alt (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) (patch (.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)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor -inf x) (#s(alt (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) (patch (.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)))) #<representation binary64>) () ())) ())
#s(alt (* (pow 2 1/4) x) (taylor 0 x) (#s(alt (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (patch (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow 2 1/4) x) (taylor 0 x) (#s(alt (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (patch (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow 2 1/4) x) (taylor 0 x) (#s(alt (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (patch (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow 2 1/4) x) (taylor 0 x) (#s(alt (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (patch (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow 2 1/4) x) (taylor inf x) (#s(alt (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (patch (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow 2 1/4) x) (taylor inf x) (#s(alt (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (patch (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow 2 1/4) x) (taylor inf x) (#s(alt (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (patch (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow 2 1/4) x) (taylor inf x) (#s(alt (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (patch (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow 2 1/4) x) (taylor -inf x) (#s(alt (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (patch (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow 2 1/4) x) (taylor -inf x) (#s(alt (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (patch (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow 2 1/4) x) (taylor -inf x) (#s(alt (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (patch (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow 2 1/4) x) (taylor -inf x) (#s(alt (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (patch (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 x) 1/4) (taylor 0 x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 x) 1/4) (taylor 0 x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 x) 1/4) (taylor 0 x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 x) 1/4) (taylor 0 x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 x) 1/4) (taylor inf x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 x) 1/4) (taylor inf x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 x) 1/4) (taylor inf x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 x) 1/4) (taylor inf x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) (taylor -inf x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) (taylor -inf x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) (taylor -inf x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 x) 1/4) (sqrt (sqrt -1))) (taylor -inf x) (#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 3)) 1/4) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 x (sqrt.f64 x))) (patch (sqrt.f64 (.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 3)) 1/4) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 x (sqrt.f64 x))) (patch (sqrt.f64 (.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 3)) 1/4) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 x (sqrt.f64 x))) (patch (sqrt.f64 (.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 3)) 1/4) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 x (sqrt.f64 x))) (patch (sqrt.f64 (.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 3)) 1/4) (taylor inf x) (#s(alt (sqrt.f64 (.f64 x (sqrt.f64 x))) (patch (sqrt.f64 (.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 3)) 1/4) (taylor inf x) (#s(alt (sqrt.f64 (.f64 x (sqrt.f64 x))) (patch (sqrt.f64 (.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 3)) 1/4) (taylor inf x) (#s(alt (sqrt.f64 (.f64 x (sqrt.f64 x))) (patch (sqrt.f64 (.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 3)) 1/4) (taylor inf x) (#s(alt (sqrt.f64 (.f64 x (sqrt.f64 x))) (patch (sqrt.f64 (.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 x (sqrt.f64 x))) (patch (sqrt.f64 (.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 x (sqrt.f64 x))) (patch (sqrt.f64 (.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 x (sqrt.f64 x))) (patch (sqrt.f64 (.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 x (sqrt.f64 x))) (patch (sqrt.f64 (.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())

Calls

48 calls:

Time	Variable		Point	Expression
156.0ms	x	@	0	(* (* 2 x) (sqrt (sqrt x)))
134.0ms	x	@	0	(sqrt (sqrt x))
40.0ms	x	@	0	(sqrt (* 2 (* x (sqrt x))))
25.0ms	x	@	0	(* x (pow 2 1/4))
7.0ms	x	@	inf	(* (* 2 x) (sqrt (sqrt x)))

simplify341.0ms (2.5%)

Memory

0.3MiB live, 173.8MiB allocated

Algorithm

1×	egg-herbie

Rules

3 980×	`lower-fma.f64`
3 980×	`lower-fma.f32`
2 968×	`lower-*.f64`
2 968×	`lower-*.f32`
2 332×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	59	1028
1	127	1028
2	317	1024
3	579	1024
4	1036	1024
5	1584	1024
6	2167	1024
7	2614	1024
8	3021	1024
9	3173	1024
10	3269	1024
11	4093	1024
12	4537	1024
13	4618	1024
14	4661	1024
15	4694	1024
16	4724	1024
17	4768	1024
18	4768	1024
19	4768	1024
20	4884	1024
21	4932	1024
22	4932	1024
23	5351	1024
24	6111	1024
25	6247	1024
26	6387	1024
27	6407	1024
28	6407	1024
29	6701	1024
0	8026	1024

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

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

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

rewrite229.0ms (1.7%)

Memory

7.6MiB live, 394.2MiB allocated

Rules

5 676×	`lower-*.f32`
5 656×	`lower-*.f64`
4 876×	`lower-fma.f64`
4 876×	`lower-fma.f32`
1 764×	`lower-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	109
0	39	94
1	80	88
2	213	69
3	835	69
4	3892	69
0	10069	69

Stop Event

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

Counts

18 → 750

Calls

Call 1

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

Outputs
(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 #s(literal 2 binary64) (*.f64 x x)))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))) #s(literal 1/4 binary64)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 4 binary64)))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 3/4 binary64) (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 #s(literal 2 binary64) (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 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log.f64 (.f64 #s(literal 2 binary64) (*.f64 x x)))))
(exp.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 (.f64 #s(literal 2 binary64) (.f64 x x))) (.f64 #s(literal 1/4 binary64) (log.f64 (.f64 #s(literal 2 binary64) (*.f64 x x))))))
(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))
(sqrt.f64 (.f64 (sqrt.f64 (.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 x (.f64 x (.f64 #s(literal 4 binary64) (.f64 x x)))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1/8 binary64)) #s(literal 4 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 #s(literal 2 binary64) (.f64 x x))))
(pow.f64 (exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (.f64 #s(literal 2 binary64) (*.f64 x x))))) #s(literal 1/4 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 #s(literal 2 binary64) x)))
(.f64 (sqrt.f64 x) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 (sqrt.f64 x) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))))
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(.f64 (sqrt.f64 (pow.f64 x #s(literal 21/16 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 9/32 binary64))) (fabs.f64 (pow.f64 x #s(literal 15/32 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 15/32 binary64))) (fabs.f64 (pow.f64 x #s(literal 9/32 binary64))))
(.f64 (fabs.f64 (pow.f64 x #s(literal 21/32 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))))

eval190.0ms (1.4%)

Memory: -2.8MiB live, 429.0MiB allocated
Compiler: Compiled 20 127 to 2 302 computations (88.6% saved)

prune127.0ms (0.9%)

Memory

4.6MiB live, 284.6MiB allocated

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	1 317	7	1 324
Fresh	2	2	4
Picked	1	4	5
Done	0	1	1
Total	1 320	14	1 334

Accuracy

100.0%

Counts

1 334 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x)
✓	99.4%	(.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))))
▶	82.3%	(.f64 (.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 x)))
	75.0%	(.f64 (.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 x)))
▶	99.0%	(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
	82.5%	(.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)))))
▶	75.2%	(.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (sqrt.f64 x))))))
	75.1%	(.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
✓	74.8%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
	98.6%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 4 binary64)))
✓	99.5%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
✓	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
▶	61.3%	(sqrt.f64 (.f64 (.f64 (sqrt.f64 x) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) x))
✓	61.4%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))

Compiler

Compiled 282 to 187 computations (33.7% saved)

simplify12.0ms (0.1%)

Memory

11.4MiB live, 11.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

350×	`lower-*.f32`
322×	`lower-*.f64`
224×	`associate-r`
124×	`associate-l`
80×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	202
0	51	206
1	73	197
2	99	179
3	135	179
4	268	179
5	337	179
6	353	179
7	355	179
0	355	179

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize110.0ms (0.8%)

Memory

-7.4MiB live, 164.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.203125	(*.f64 x (sqrt.f64 (sqrt.f64 x)))
accuracy	0.3639450195368841	(.f64 (.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 x)))
accuracy	0.40625	(.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))))
accuracy	11.426702281453224	(sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))
accuracy	0.203125	(*.f64 x (sqrt.f64 (sqrt.f64 x)))
accuracy	0.33041000976844204	(.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (sqrt.f64 x))))))
accuracy	11.426702281453224	(sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))
accuracy	16.19947613015416	(sqrt.f64 (*.f64 x (sqrt.f64 x)))
accuracy	0	(sqrt.f64 x)
accuracy	0.1328125	(sqrt.f64 (sqrt.f64 x))
accuracy	0.3639450195368841	(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
accuracy	0.375	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x)))
accuracy	0	(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
accuracy	0	(sqrt.f64 x)
accuracy	0.41015625	(.f64 (sqrt.f64 x) (.f64 #s(literal 2 binary64) (sqrt.f64 x)))
accuracy	24.68929025154347	(sqrt.f64 (.f64 (.f64 (sqrt.f64 x) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) x))
accuracy	0	(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
accuracy	0.453125	(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x)
accuracy	1.0	(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))

Samples

75.0ms

256×

valid

Compiler

Compiled 204 to 29 computations (85.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-mult: 29.0ms (48.4% of total)

ival-sqrt: 24.0ms (40.1% of total)

ival-pow: 4.0ms (6.7% of total)

ival-pow2: 3.0ms (5% of total)

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

exact: 0.0ms (0% of total)

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

series113.0ms (0.8%)

Memory

2.5MiB live, 154.2MiB allocated

Counts

19 → 204

Calls

Call 1

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

Outputs
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x) (patch (.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x) (patch (.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x) (patch (.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x) (patch (.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x) (patch (.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x) (patch (.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x) (patch (.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x) (patch (.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor -inf x) (#s(alt (.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x) (patch (.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor -inf x) (#s(alt (.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x) (patch (.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor -inf x) (#s(alt (.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x) (patch (.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2)))) (taylor -inf x) (#s(alt (.f64 (.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2)))) (taylor -inf x) (#s(alt (.f64 (.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2)))) (taylor -inf x) (#s(alt (.f64 (.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (patch (.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (patch (.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (patch (.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (patch (.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) (taylor inf x) (#s(alt (.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (patch (.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) (taylor inf x) (#s(alt (.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (patch (.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) (taylor inf x) (#s(alt (.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (patch (.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) (taylor inf x) (#s(alt (.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (patch (.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (patch (.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (patch (.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (patch (.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (patch (.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) #<representation binary64>) () ())) ())
#s(alt (* 2 (sqrt x)) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (sqrt x)) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (sqrt x)) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (sqrt x)) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (sqrt x)) (taylor inf x) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (sqrt x)) (taylor inf x) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (sqrt x)) (taylor inf x) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (sqrt x)) (taylor inf x) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 3)) 1/4) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 x (sqrt.f64 x))) (patch (sqrt.f64 (.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 3)) 1/4) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 x (sqrt.f64 x))) (patch (sqrt.f64 (.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 3)) 1/4) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 x (sqrt.f64 x))) (patch (sqrt.f64 (.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 3)) 1/4) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 x (sqrt.f64 x))) (patch (sqrt.f64 (.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 3)) 1/4) (taylor inf x) (#s(alt (sqrt.f64 (.f64 x (sqrt.f64 x))) (patch (sqrt.f64 (.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 3)) 1/4) (taylor inf x) (#s(alt (sqrt.f64 (.f64 x (sqrt.f64 x))) (patch (sqrt.f64 (.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 3)) 1/4) (taylor inf x) (#s(alt (sqrt.f64 (.f64 x (sqrt.f64 x))) (patch (sqrt.f64 (.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 3)) 1/4) (taylor inf x) (#s(alt (sqrt.f64 (.f64 x (sqrt.f64 x))) (patch (sqrt.f64 (.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 x (sqrt.f64 x))) (patch (sqrt.f64 (.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 x (sqrt.f64 x))) (patch (sqrt.f64 (.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 x (sqrt.f64 x))) (patch (sqrt.f64 (.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 3)) 1/4) (sqrt (pow (sqrt -1) 3))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 x (sqrt.f64 x))) (patch (sqrt.f64 (.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())

Calls

51 calls:

Time	Variable		Point	Expression
39.0ms	x	@	0	(* (sqrt (* x (sqrt (sqrt x)))) (sqrt (* 2 (sqrt (* x (sqrt x))))))
23.0ms	x	@	0	(* (sqrt (* 2 x)) (sqrt (sqrt x)))
16.0ms	x	@	-inf	(* (sqrt (* x (sqrt (sqrt x)))) (sqrt (* 2 (sqrt (* x (sqrt x))))))
15.0ms	x	@	-inf	(sqrt (* x (sqrt (sqrt x))))
7.0ms	x	@	-inf	(* (sqrt (* x (sqrt (sqrt x)))) (sqrt (* 2 (sqrt (sqrt x)))))

simplify322.0ms (2.4%)

Memory

13.8MiB live, 132.5MiB allocated

Algorithm

1×	egg-herbie

Rules

5 004×	`lower-fma.f64`
5 004×	`lower-fma.f32`
2 980×	`lower-*.f64`
2 980×	`lower-*.f32`
2 056×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	67	1112
1	146	1112
2	380	1104
3	724	1104
4	1040	1104
5	1860	1104
6	2536	1104
7	2697	1104
8	2819	1104
9	2916	1104
10	2962	1104
11	3476	1104
12	3726	1104
13	3749	1104
14	3761	1104
15	3769	1104
16	3772	1104
17	3780	1104
18	3780	1104
19	3786	1104
20	3786	1104
21	3796	1104
22	3800	1104
23	3800	1104
24	4306	1104
25	6170	1104
26	6822	1104
27	6932	1104
28	6954	1104
29	6954	1104
30	6954	1104
31	6954	1104
32	6954	1104
33	7603	1104
0	8083	1104

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

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

rewrite186.0ms (1.4%)

Memory

10.3MiB live, 237.5MiB allocated

Rules

4 646×	`lower-fma.f64`
4 646×	`lower-fma.f32`
3 128×	`lower-*.f32`
3 102×	`lower-*.f64`
1 686×	`lower-pow.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	27	138
0	51	97
1	114	86
2	321	70
3	1248	60
4	4825	60
0	8171	60

Stop Event

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

Counts

19 → 884

Calls

Call 1

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

Outputs
#s(literal 1 binary64)
(exp.f64 (log.f64 (*.f64 #s(literal 1 binary64) x)))
(exp.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 x) #s(literal 0 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 x) #s(literal 0 binary64)) #s(literal 4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1 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 (.f64 x x)) (*.f64 x #s(literal 4 binary64)))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 x #s(literal 4 binary64)) (.f64 x (*.f64 x x)))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log.f64 (.f64 #s(literal 2 binary64) (*.f64 x x)))))
(exp.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 x) #s(literal 0 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (.f64 #s(literal 2 binary64) (*.f64 x x)))) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))
(sqrt.f64 (.f64 #s(literal 1 binary64) (.f64 x x)))
(sqrt.f64 (.f64 (.f64 x x) #s(literal 1 binary64)))
(pow.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) #s(literal 4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (.f64 #s(literal 4 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/4 binary64))
(pow.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 x #s(literal 4 binary64)) (.f64 x (.f64 x x))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (.f64 x (.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 x #s(literal 4 binary64)) x) #s(literal 1/2 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)) (log.f64 (.f64 #s(literal 4 binary64) (.f64 x x))))
(pow.f64 (exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (.f64 #s(literal 2 binary64) (*.f64 x x))))) #s(literal 1/4 binary64))
(*.f64 #s(literal 1 binary64) x)
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) x))
(*.f64 x #s(literal 1 binary64))
(.f64 (sqrt.f64 x) (.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 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) (.f64 x (sqrt.f64 x)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x))))
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.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 (.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 x))) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 (.f64 x (sqrt.f64 x)))))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 (sqrt.f64 x) (.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 #s(literal 2 binary64) (.f64 x (sqrt.f64 (sqrt.f64 x))))))
(.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x))))) (.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 x)))))))
(.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (.f64 x (sqrt.f64 (.f64 x (sqrt.f64 x)))))))
(.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))) (.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) (.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))))))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 (.f64 #s(literal 2 binary64) (.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 (.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 #s(literal 2 binary64) (.f64 x (sqrt.f64 (.f64 x (sqrt.f64 x)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 (.f64 x (sqrt.f64 x))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))))
(.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))))))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 x))))) (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))))
(.f64 (.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (.f64 x (sqrt.f64 (.f64 x (sqrt.f64 x)))))) (.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 x)))))) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x))))))
(.f64 (.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) (.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))))))) (.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))))
(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (.f64 x (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))) (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 (sqrt.f64 x)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 (sqrt.f64 x) (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 (sqrt.f64 x))))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 (.f64 x (sqrt.f64 x)))))))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (.f64 x (sqrt.f64 (sqrt.f64 x)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))) (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 (sqrt.f64 x))))))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 (log.f64 x) #s(literal 3/8 binary64))))
#s(literal 1 binary64)
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(.f64 (sqrt.f64 x) (.f64 #s(literal 2 binary64) (sqrt.f64 x)))
(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))
(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (*.f64 x (sqrt.f64 x))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (exp.f64 (log.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))))
(.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(exp.f64 (log.f64 (*.f64 #s(literal 1 binary64) x)))
(exp.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 x) #s(literal 0 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 x) #s(literal 0 binary64)) #s(literal 4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1 binary64) x)) #s(literal 1 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 (.f64 x x)) (*.f64 x #s(literal 4 binary64)))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 x #s(literal 4 binary64)) (.f64 x (*.f64 x x)))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log.f64 (.f64 #s(literal 2 binary64) (*.f64 x x)))))
(exp.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 x) #s(literal 0 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (.f64 #s(literal 2 binary64) (*.f64 x x)))) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))
(sqrt.f64 (.f64 #s(literal 1 binary64) (.f64 x x)))
(sqrt.f64 (.f64 (.f64 x x) #s(literal 1 binary64)))
(pow.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) #s(literal 4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (.f64 #s(literal 4 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/4 binary64))
(pow.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 x #s(literal 4 binary64)) (.f64 x (.f64 x x))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (.f64 x (.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 x #s(literal 4 binary64)) x) #s(literal 1/2 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)) (log.f64 (.f64 #s(literal 4 binary64) (.f64 x x))))
(pow.f64 (exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (.f64 #s(literal 2 binary64) (*.f64 x x))))) #s(literal 1/4 binary64))
(*.f64 #s(literal 1 binary64) x)
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) x))
(*.f64 x #s(literal 1 binary64))
(.f64 (sqrt.f64 x) (.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 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) (.f64 x (sqrt.f64 x)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x))))
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.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 (.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 x))) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 (.f64 x (sqrt.f64 x)))))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 (sqrt.f64 x) (.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 #s(literal 2 binary64) (.f64 x (sqrt.f64 (sqrt.f64 x))))))
(.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x))))) (.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 x)))))))
(.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (.f64 x (sqrt.f64 (.f64 x (sqrt.f64 x)))))))
(.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))) (.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) (.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))))))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x))) (sqrt.f64 (.f64 #s(literal 2 binary64) (.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 (.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 #s(literal 2 binary64) (.f64 x (sqrt.f64 (.f64 x (sqrt.f64 x)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 (.f64 x (sqrt.f64 x))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))))
(.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))))))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 x))))) (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))))
(.f64 (.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (.f64 x (sqrt.f64 (.f64 x (sqrt.f64 x)))))) (.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
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(.f64 (pow.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) #s(literal 3/4 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 3/4 binary64)))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))) #s(literal 3/4 binary64)) (pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) #s(literal 3/4 binary64)))
(.f64 (pow.f64 (sqrt.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 (pow.f64 (sqrt.f64 (.f64 (.f64 x (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) #s(literal 3/4 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x))))) #s(literal 3/4 binary64)))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))) #s(literal 3/2 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 11/8 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) (log.f64 x))))
(.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (.f64 #s(literal 7/4 binary64) (log.f64 x)))) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x))))))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))))) #s(literal 3 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
(.f64 (pow.f64 (pow.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) #s(literal 3 binary64)))
(.f64 (pow.f64 (pow.f64 (sqrt.f64 (.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) #s(literal 3 binary64)))
(.f64 (pow.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 x (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x))))) #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) #s(literal 1/4 binary64)) #s(literal 3 binary64)))

eval296.0ms (2.2%)

Memory: 6.8MiB live, 427.2MiB allocated
Compiler: Compiled 31 936 to 3 199 computations (90% saved)

prune241.0ms (1.8%)

Memory

-33.9MiB live, 338.2MiB allocated

Pruning

17 alts after pruning (7 fresh and 10 done)

	Pruned	Kept	Total
New	1 845	3	1 848
Fresh	0	4	4
Picked	0	5	5
Done	0	5	5
Total	1 845	17	1 862

Accuracy

100.0%

Counts

1 862 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x)
✓	99.4%	(.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))))
▶	98.9%	(.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 x)))
✓	82.3%	(.f64 (.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 x)))
▶	75.0%	(.f64 (.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 x)))
	98.4%	(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #s(literal 4 binary64)))
✓	99.0%	(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
▶	82.5%	(.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)))))
✓	75.2%	(.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (sqrt.f64 x))))))
▶	75.1%	(.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
✓	74.8%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
	98.6%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 4 binary64)))
✓	99.5%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
✓	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
▶	20.3%	(*.f64 x #s(literal 1 binary64))
✓	61.3%	(sqrt.f64 (.f64 (.f64 (sqrt.f64 x) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) x))
✓	61.4%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))

Compiler

Compiled 296 to 195 computations (34.1% saved)

simplify11.0ms (0.1%)

Memory

18.2MiB live, 18.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
cost-diff	0	(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
cost-diff	0	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))
cost-diff	0	(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))))
cost-diff	0	(*.f64 x (sqrt.f64 x))
cost-diff	0	(sqrt.f64 (*.f64 x (sqrt.f64 x)))
cost-diff	0	(.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	(.f64 (.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 x)))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(*.f64 x (sqrt.f64 x))
cost-diff	0	(sqrt.f64 (*.f64 x (sqrt.f64 x)))
cost-diff	0	(.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
cost-diff	320	(*.f64 x #s(literal 1 binary64))
cost-diff	0	(sqrt.f64 (sqrt.f64 (sqrt.f64 x)))
cost-diff	0	(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x))
cost-diff	0	(.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))))
cost-diff	0	(.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 x)))

Rules

276×	`lower-*.f32`
250×	`lower-*.f64`
122×	`associate-r`
110×	`associate-l`
62×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	192
0	47	190
1	70	190
2	117	190
3	151	190
4	225	190
5	225	190
6	231	190
7	231	190
0	231	190

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize91.0ms (0.7%)

Memory

19.9MiB live, 180.7MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.203125	(*.f64 x (sqrt.f64 (sqrt.f64 x)))
accuracy	0.3203125	(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
accuracy	0.33041000976844204	(.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	11.426702281453231	(sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))
accuracy	0.1640625	(*.f64 x (sqrt.f64 x))
accuracy	0.3639450195368841	(.f64 (.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 x)))
accuracy	0.4811325195368841	(.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (sqrt.f64 #s(literal 2 binary64)))
accuracy	16.19947613015417	(sqrt.f64 (*.f64 x (sqrt.f64 x)))
accuracy	0.0859375	(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
accuracy	0.1640625	(*.f64 x (sqrt.f64 x))
accuracy	0.3203125	(.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
accuracy	16.19947613015417	(sqrt.f64 (*.f64 x (sqrt.f64 x)))
accuracy	0	(*.f64 x #s(literal 1 binary64))
accuracy	0.13671875	(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))
accuracy	0.3639450195368841	(.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 x)))
accuracy	0.38671875	(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x))
accuracy	0.40625	(.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))))

Samples

49.0ms

256×

valid

Compiler

Compiled 194 to 27 computations (86.1% saved)

Precisions

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

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

ival-sqrt: 14.0ms (43.8% of total)

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

exact: 0.0ms (0% of total)

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

series66.0ms (0.5%)

Memory

-2.0MiB live, 111.6MiB allocated

Counts

19 → 228

Calls

Call 1

Inputs
#s(alt (.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (patch (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (patch (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (patch (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 1 binary64)) (patch (.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)))) (patch (.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 x (sqrt.f64 x))) (patch (sqrt.f64 (.f64 x (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (.f64 x (sqrt.f64 x)) (patch (.f64 x (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (.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))))) (patch (.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))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) (patch (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (patch (.f64 #s(literal 2 binary64) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x))) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) (patch (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt (.f64 x (sqrt.f64 (sqrt.f64 x))) (patch (.f64 x (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())

Outputs
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2)))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2)))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2)))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2)))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 x))) (patch (.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (patch (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (patch (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (patch (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (patch (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) (taylor inf x) (#s(alt (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (patch (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) (taylor inf x) (#s(alt (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (patch (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) (taylor inf x) (#s(alt (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (patch (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) (taylor inf x) (#s(alt (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (patch (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2))) (taylor -inf x) (#s(alt (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (patch (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2))) (taylor -inf x) (#s(alt (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (patch (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2))) (taylor -inf x) (#s(alt (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (patch (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt (pow (sqrt -1) 3)) (sqrt 2))) (taylor -inf x) (#s(alt (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (patch (.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 5)) 1/8) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (patch (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 5)) 1/8) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (patch (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 5)) 1/8) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (patch (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 5)) 1/8) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (patch (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 5)) 1/8) (taylor inf x) (#s(alt (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (patch (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 5)) 1/8) (taylor inf x) (#s(alt (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (patch (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 5)) 1/8) (taylor inf x) (#s(alt (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (patch (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 (pow x 5)) 1/8) (taylor inf x) (#s(alt (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (patch (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4)) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (patch (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4)) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (patch (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4)) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (patch (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 5)) 1/8) (pow (* 1 (pow (sqrt -1) 5)) 1/4)) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) (patch (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 x) 1/8) (taylor 0 x) (#s(alt (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (patch (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 x) 1/8) (taylor 0 x) (#s(alt (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (patch (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 x) 1/8) (taylor 0 x) (#s(alt (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (patch (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 x) 1/8) (taylor 0 x) (#s(alt (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (patch (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 x) 1/8) (taylor inf x) (#s(alt (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (patch (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 x) 1/8) (taylor inf x) (#s(alt (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (patch (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 x) 1/8) (taylor inf x) (#s(alt (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (patch (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 x) 1/8) (taylor inf x) (#s(alt (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (patch (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 x) 1/8) (pow (* 1 (sqrt -1)) 1/4)) (taylor -inf x) (#s(alt (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (patch (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 x) 1/8) (pow (* 1 (sqrt -1)) 1/4)) (taylor -inf x) (#s(alt (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (patch (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 x) 1/8) (pow (* 1 (sqrt -1)) 1/4)) (taylor -inf x) (#s(alt (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (patch (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 x) 1/8) (pow (* 1 (sqrt -1)) 1/4)) (taylor -inf x) (#s(alt (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (patch (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (.f64 x #s(literal 1 binary64)) (patch (.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (.f64 x #s(literal 1 binary64)) (patch (.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (.f64 x #s(literal 1 binary64)) (patch (.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (.f64 x #s(literal 1 binary64)) (patch (.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (.f64 x #s(literal 1 binary64)) (patch (.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (.f64 x #s(literal 1 binary64)) (patch (.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (.f64 x #s(literal 1 binary64)) (patch (.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (.f64 x #s(literal 1 binary64)) (patch (.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (.f64 x #s(literal 1 binary64)) (patch (.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (.f64 x #s(literal 1 binary64)) (patch (.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (.f64 x #s(literal 1 binary64)) (patch (.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (.f64 x #s(literal 1 binary64)) (patch (.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)))) (patch (.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)))) (patch (.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)))) (patch (.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)))) (patch (.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)))) (patch (.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)))) (patch (.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)))) (patch (.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)))) (patch (.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
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#s(alt (pow (* 1 (pow x 5)) 1/4) (taylor inf x) (#s(alt (.f64 x (sqrt.f64 (sqrt.f64 x))) (patch (.f64 x (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1)))) (taylor -inf x) (#s(alt (.f64 x (sqrt.f64 (sqrt.f64 x))) (patch (.f64 x (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1)))) (taylor -inf x) (#s(alt (.f64 x (sqrt.f64 (sqrt.f64 x))) (patch (.f64 x (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1)))) (taylor -inf x) (#s(alt (.f64 x (sqrt.f64 (sqrt.f64 x))) (patch (.f64 x (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow (* -1 (pow x 5)) 1/4) (sqrt (sqrt -1)))) (taylor -inf x) (#s(alt (.f64 x (sqrt.f64 (sqrt.f64 x))) (patch (.f64 x (sqrt.f64 (sqrt.f64 x))) #<representation binary64>) () ())) ())

Calls

57 calls:

Time	Variable		Point	Expression
19.0ms	x	@	-inf	(sqrt (sqrt (sqrt x)))
18.0ms	x	@	-inf	(sqrt (* (* 2 (sqrt x)) (sqrt (sqrt x))))
7.0ms	x	@	-inf	(* (sqrt (sqrt (sqrt x))) (sqrt x))
7.0ms	x	@	0	(sqrt (sqrt (sqrt x)))
1.0ms	x	@	inf	(sqrt (* (* 2 (sqrt x)) (sqrt (sqrt x))))

simplify341.0ms (2.5%)

Memory

16.2MiB live, 200.6MiB allocated

Algorithm

1×	egg-herbie

Rules

4 788×	`lower-*.f64`
4 788×	`lower-*.f32`
4 524×	`lower-fma.f64`
4 524×	`lower-fma.f32`
2 762×	`unsub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	73	1416
1	154	1416
2	334	1396
3	506	1396
4	1439	1396
5	2929	1396
6	4544	1396
7	4823	1396
8	4902	1396
9	5039	1396
10	5134	1396
11	6741	1396
12	7341	1396
13	7434	1396
14	7512	1396
15	7557	1396
16	7585	1396
17	7605	1396
18	7613	1396
19	7613	1396
20	7613	1396
21	7633	1396
22	7641	1396
23	7641	1396
24	7641	1396
0	8347	1396

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 216

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

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

rewrite502.0ms (3.7%)

Memory

-37.3MiB live, 375.5MiB allocated

Rules

7 672×	`lower-*.f32`
7 648×	`lower-*.f64`
4 964×	`lower-fma.f64`
4 964×	`lower-fma.f32`
1 842×	`lower-/.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	147
0	47	157
1	90	135
2	265	85
3	1114	75
4	4006	75
0	10664	75

Stop Event

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

Counts

19 → 827

Calls

Call 1

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

Outputs
(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 #s(literal 2 binary64) (*.f64 x 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 (.f64 x (sqrt.f64 x))) (.f64 x (.f64 (sqrt.f64 x) #s(literal 4 binary64))))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 x (.f64 x x)) (*.f64 x #s(literal 4 binary64)))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 x #s(literal 4 binary64)) (.f64 x (*.f64 x x)))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 x (.f64 (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 #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)))
(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 x) (.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x)))))))
(sqrt.f64 (.f64 (.f64 (.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 (.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 x)) (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
(sqrt.f64 (.f64 (.f64 (sqrt.f64 x) (.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 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 x))))
(sqrt.f64 (.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (.f64 (sqrt.f64 x) (.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x)))))))
(sqrt.f64 (.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))))
(sqrt.f64 (.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
(sqrt.f64 (.f64 (.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
(sqrt.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (.f64 x (sqrt.f64 x)))) (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
(pow.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 x (.f64 x (sqrt.f64 x))) (.f64 x (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 x #s(literal 4 binary64)) (.f64 x (.f64 x x))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 x (.f64 (sqrt.f64 x) #s(literal 4 binary64))) (.f64 x (*.f64 x (sqrt.f64 x)))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 #s(literal 2 binary64) (.f64 x x))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x #s(literal 2 binary64))))
(.f64 (sqrt.f64 (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 x (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (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 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64))) (sqrt.f64 (.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 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (sqrt.f64 (*.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 #s(literal 2 binary64)) 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 (.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))
(.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) #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 (sqrt.f64 (.f64 x (sqrt.f64 x)))) (sqrt.f64 (.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))))
(.f64 (pow.f64 (.f64 (sqrt.f64 x) #s(literal 4 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 (.f64 (sqrt.f64 x) #s(literal 4 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 (.f64 x (sqrt.f64 (.f64 x (sqrt.f64 x)))))))
(.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 (pow.f64 (.f64 x (.f64 (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 x #s(literal 4 binary64)) #s(literal 1/8 binary64)) (pow.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (.f64 x (.f64 x x))) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (.f64 x (.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x))))))))
(.f64 (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 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 x (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (sqrt.f64 x)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
(.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (.f64 x (.f64 x x))) #s(literal 1/4 binary64)) (pow.f64 (.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)))
(.f64 (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))))) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x))))))
(.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 x) #s(literal 4 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 (.f64 x (sqrt.f64 (.f64 x (sqrt.f64 x)))))) (pow.f64 (.f64 (sqrt.f64 x) #s(literal 4 binary64)) #s(literal 1/8 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 x (.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 1/8 binary64)))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (.f64 x (.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x))))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 x (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 x x) (.f64 x #s(literal 4 binary64)))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 x (.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 (*.f64 x (sqrt.f64 x))))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 4 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 x #s(literal 4 binary64)) (.f64 x x))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 4 binary64) (.f64 x (.f64 x x)))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 x (.f64 (sqrt.f64 x) #s(literal 4 binary64))) (*.f64 x (sqrt.f64 x)))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (sqrt.f64 x)))) (sqrt.f64 (*.f64 x (sqrt.f64 x))))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 x (sqrt.f64 x)) (.f64 x (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 x (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (.f64 x (.f64 (sqrt.f64 x) #s(literal 2 binary64))))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 x (.f64 (sqrt.f64 x) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (.f64 x (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(sqrt.f64 (.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 #s(literal 2 binary64) (sqrt.f64 (.f64 x (sqrt.f64 x))))))
(sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (sqrt.f64 x)))) (sqrt.f64 x))))
(sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 (sqrt.f64 x) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (sqrt.f64 x)))))))
(sqrt.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (sqrt.f64 x)))) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))
(sqrt.f64 (.f64 (.f64 (sqrt.f64 x) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 x))))
(pow.f64 (.f64 x (.f64 (sqrt.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (.f64 x (.f64 (sqrt.f64 x) #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 x x) (*.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 x (.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 (.f64 x (sqrt.f64 x)))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 x (*.f64 x x)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 x #s(literal 4 binary64)) (*.f64 x x)) #s(literal 1/4 binary64))
(pow.f64 (.f64 #s(literal 4 binary64) (.f64 x (*.f64 x x))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 x (.f64 (sqrt.f64 x) #s(literal 4 binary64))) (.f64 x (sqrt.f64 x))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (sqrt.f64 x)))) (sqrt.f64 (.f64 x (sqrt.f64 x)))) #s(literal 1/2 binary64))
(pow.f64 (.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (sqrt.f64 x))))) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 x (sqrt.f64 x)) (.f64 x (.f64 (sqrt.f64 x) #s(literal 4 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 x (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (.f64 x (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 x (.f64 (sqrt.f64 x) #s(literal 2 binary64)))))
(pow.f64 (.f64 (pow.f64 (.f64 x (.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 1/8 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))) #s(literal 2 binary64))
(pow.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))))) (pow.f64 (.f64 x (.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 1/8 binary64))) #s(literal 2 binary64))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(.f64 (sqrt.f64 x) (exp.f64 (+.f64 #s(literal 0 binary64) (.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))))))
(.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (.f64 x #s(literal 2 binary64))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (.f64 x (*.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64))) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))
(.f64 (sqrt.f64 (.f64 x (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 x (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 x))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (.f64 x (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 x)))))
(.f64 (sqrt.f64 (.f64 x (*.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (sqrt.f64 x))))))
(.f64 (pow.f64 (.f64 (sqrt.f64 x) #s(literal 4 binary64)) #s(literal 1/8 binary64)) (pow.f64 (.f64 (.f64 x (.f64 x (sqrt.f64 x))) (.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x))))) (.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)) (.f64 (sqrt.f64 x) (pow.f64 (.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 (.f64 x (.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 x)))
(.f64 (pow.f64 (.f64 x (.f64 (sqrt.f64 x) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (.f64 x (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (.f64 x (.f64 x (sqrt.f64 x))) (.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (.f64 (sqrt.f64 x) #s(literal 4 binary64)) #s(literal 1/8 binary64)))
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(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(pow.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) #s(literal 1/8 binary64)) #s(literal 4 binary64))
(pow.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (sqrt.f64 x))))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (sqrt.f64 x)))) (.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(pow.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (sqrt.f64 x)))) #s(literal 1/8 binary64))) #s(literal 2 binary64))
(pow.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (sqrt.f64 x)))) #s(literal 1/8 binary64)) (pow.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64)) #s(literal 1/8 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 x #s(literal 4 binary64)))) #s(literal 1/4 binary64))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 0 binary64) (log.f64 #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 x)))
(.f64 (pow.f64 (.f64 (sqrt.f64 x) #s(literal 4 binary64)) #s(literal 1/8 binary64)) (pow.f64 (.f64 x (.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 1/8 binary64)))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 x (.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 1/8 binary64)) (pow.f64 (.f64 (sqrt.f64 x) #s(literal 4 binary64)) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
(.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (sqrt.f64 x)))) #s(literal 1/8 binary64))) (.f64 (pow.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 1/8 binary64))))
(.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (sqrt.f64 x)))) #s(literal 1/8 binary64)) (pow.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64)) #s(literal 1/8 binary64))) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (sqrt.f64 x)))) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 2 binary64)) #s(literal 1/8 binary64))))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) (sqrt.f64 (sqrt.f64 x)))
(exp.f64 (*.f64 #s(literal 5/8 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 5/8 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 5/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1/8 binary64)) #s(literal 5 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 5/16 binary64)))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (.f64 (log.f64 x) #s(literal 5/4 binary64))))
(fabs.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))
(fabs.f64 (neg.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))))
(fabs.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
(fabs.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))))
(fabs.f64 (.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))))))
(fabs.f64 (.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 x)))
(fabs.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))) (neg.f64 (sqrt.f64 (sqrt.f64 x)))))
(fabs.f64 (.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 x))))
(fabs.f64 (.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))))) (neg.f64 (sqrt.f64 (sqrt.f64 x)))))
(sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))
(pow.f64 x #s(literal 5/8 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 5/4 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 5/2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 5 binary64))
(pow.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #s(literal 10 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 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 5/4 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 5/4 binary64)) (log.f64 x))
(pow.f64 (exp.f64 (*.f64 #s(literal 5/2 binary64) (log.f64 x))) #s(literal 1/4 binary64))
(*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (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 (.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)))))) (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 (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 (fabs.f64 (pow.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) #s(literal 5/8 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 5/4 binary64)))
(fabs.f64 (*.f64 x (sqrt.f64 (sqrt.f64 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 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 10 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) #s(literal 2 binary64))
(pow.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))) #s(literal 1 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 (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 (sqrt.f64 (sqrt.f64 x))) (.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (exp.f64 (.f64 #s(literal 9/8 binary64) (log.f64 x))))
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))
(.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (sqrt.f64 x))))
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (sqrt.f64 x))
(.f64 (.f64 x (sqrt.f64 (sqrt.f64 x))) #s(literal 1 binary64))
(.f64 (.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(.f64 (exp.f64 (.f64 #s(literal 9/8 binary64) (log.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))

eval217.0ms (1.6%)

Memory: 47.8MiB live, 427.0MiB allocated
Compiler: Compiled 29 878 to 2 967 computations (90.1% saved)

prune198.0ms (1.5%)

Memory

-1.2MiB live, 322.3MiB allocated

Pruning

17 alts after pruning (7 fresh and 10 done)

	Pruned	Kept	Total
New	1 665	6	1 671
Fresh	1	1	2
Picked	2	3	5
Done	3	7	10
Total	1 671	17	1 688

Accuracy

100.0%

Counts

1 688 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	(.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x))))
	98.9%	(.f64 (.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 x)))
✓	75.0%	(.f64 (.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 x)))
✓	99.0%	(.f64 (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
	99.1%	(.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (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)))
✓	82.5%	(.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)))))
✓	75.2%	(.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (sqrt.f64 x))))))
✓	75.1%	(.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
✓	74.8%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 x)))
	98.6%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 4 binary64)))
✓	99.5%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
✓	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	61.3%	(sqrt.f64 (.f64 (.f64 (sqrt.f64 x) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) x))
✓	61.4%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))
	20.3%	x

Compiler

Compiled 485 to 208 computations (57.1% saved)

regimes60.0ms (0.4%)

Memory

-3.7MiB live, 34.7MiB allocated

Counts

26 → 1

Calls

Call 1

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

Calls

4 calls:

37.0ms	(*.f64 x x)
7.0ms	x
7.0ms	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))
7.0ms	(.f64 #s(literal 2 binary64) (.f64 x x))

Results

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

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes52.0ms (0.4%)

Memory

-5.1MiB live, 35.3MiB allocated

Counts

19 → 1

Calls

Call 1

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

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

Calls

4 calls:

34.0ms	(*.f64 x x)
6.0ms	x
5.0ms	(.f64 #s(literal 2 binary64) (.f64 x x))
5.0ms	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))

Results

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

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes8.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
x
(*.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:

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

Results

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

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes54.0ms (0.4%)

Memory

-28.1MiB live, 9.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

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

Outputs
x

Calls

4 calls:

50.0ms	(*.f64 x x)
1.0ms	x
1.0ms	(.f64 #s(literal 2 binary64) (.f64 x x))
1.0ms	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))

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)

simplify5.0ms (0%)

Memory

7.6MiB live, 7.6MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	21
1	18	21

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.8s (13.2%)

Memory

-26.9MiB live, 398.3MiB allocated

Rules

7 672×	`lower-*.f32`
7 648×	`lower-*.f64`
6 020×	`lower-fma.f64`
6 020×	`lower-fma.f32`
5 676×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	5	14
0	8	14
1	17	13
2	46	12
3	123	12
4	580	12
5	3914	12
0	8179	12
0	21	109
0	39	94
1	80	88
2	213	69
3	835	69
4	3892	69
0	10069	69
0	27	138
0	51	97
1	114	86
2	321	70
3	1248	60
4	4825	60
0	8171	60
0	25	147
0	47	157
1	90	135
2	265	85
3	1114	75
4	4006	75
0	10664	75

Stop Event

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

Compiler

Compiled 103 to 63 computations (38.8% saved)

preprocess62.0ms (0.5%)

Memory: 5.1MiB live, 90.7MiB allocated
Compiler: Compiled 118 to 84 computations (28.8% 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	27	202
0	51	206
1	73	197
2	99	179
3	135	179
4	268	179
5	337	179
6	353	179
7	355	179
0	355	179

Iter	Nodes	Cost
0	25	192
0	47	190
1	70	190
2	117	190
3	151	190
4	225	190
5	225	190
6	231	190
7	231	190
0	231	190

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	27	202
0	51	206
1	73	197
2	99	179
3	135	179
4	268	179
5	337	179
6	353	179
7	355	179
0	355	179

Iter	Nodes	Cost
0	25	192
0	47	190
1	70	190
2	117	190
3	151	190
4	225	190
5	225	190
6	231	190
7	231	190
0	231	190

start0.0ms (0%)

analyze0.0ms (0%)

sample602.0ms (4.5%)

explain64.0ms (0.5%)

preprocess16.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify7.0ms (0.1%)

localize24.0ms (0.2%)

series3.0ms (0%)

simplify6.0ms (0%)

rewrite186.0ms (1.4%)

eval30.0ms (0.2%)

prune6.4s (47.3%)

simplify7.0ms (0.1%)

localize173.0ms (1.3%)

series393.0ms (2.9%)

simplify341.0ms (2.5%)

rewrite229.0ms (1.7%)

eval190.0ms (1.4%)

prune127.0ms (0.9%)

simplify12.0ms (0.1%)

localize110.0ms (0.8%)

series113.0ms (0.8%)

simplify322.0ms (2.4%)

rewrite186.0ms (1.4%)

eval296.0ms (2.2%)

prune241.0ms (1.8%)

simplify11.0ms (0.1%)

localize91.0ms (0.7%)

series66.0ms (0.5%)

simplify341.0ms (2.5%)

rewrite502.0ms (3.7%)

eval217.0ms (1.6%)

prune198.0ms (1.5%)

regimes60.0ms (0.4%)

regimes52.0ms (0.4%)

regimes8.0ms (0.1%)

regimes54.0ms (0.4%)

simplify5.0ms (0%)

soundness1.8s (13.2%)

preprocess62.0ms (0.5%)

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	27	202
0	51	206
1	73	197
2	99	179
3	135	179
4	268	179
5	337	179
6	353	179
7	355	179
0	355	179

Iter	Nodes	Cost
0	25	192
0	47	190
1	70	190
2	117	190
3	151	190
4	225	190
5	225	190
6	231	190
7	231	190
0	231	190