Metrics for sqrt B (should all be same)

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample637.0ms (9.2%)

Memory

41.3MiB live, 1 042.7MiB allocated

Samples

381.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 238.0ms

ival-mult: 152.0ms (63.9% of total)

ival-sqrt: 72.0ms (30.3% of total)

ival-true: 6.0ms (2.5% of total)

exact: 5.0ms (2.1% of total)

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

Bogosity

preprocess21.0ms (0.3%)

Memory

-3.8MiB live, 34.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	21	13
2	62	13
3	149	13
4	214	13
5	231	13
6	233	13
0	5	6
0	8	6
1	12	6
2	13	6
0	13	6

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs x)

explain59.0ms (0.8%)

Memory

18.3MiB live, 141.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
123	-	4	(2.8005938991353706e-162)	`(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(.f64 (.f64 #s(literal 2 binary64) x) x)`
0	-	0	-	`(*.f64 #s(literal 2 binary64) x)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))`	oflow-rescue	63	0
↳	`(.f64 (.f64 #s(literal 2 binary64) x) x)`	overflow	63
`sqrt.f64`	`(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))`	uflow-rescue	56	0
↳	`(.f64 (.f64 #s(literal 2 binary64) x) x)`	underflow	56

Confusion

	Predicted +	Predicted -
+	119	4
-	0	133

Precision

1.0

Recall

0.967479674796748

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	119	0	4
-	0	0	133

Precision?

1.0

Recall?

0.967479674796748

Freqs

test

number	freq
0	137
1	119

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

23.0ms

512×

valid

Compiler

Compiled 50 to 24 computations (52% saved)

Precisions

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

ival-mult: 8.0ms (64.4% of total)

ival-sqrt: 4.0ms (32.2% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.9%	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify4.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	16
0	8	16
1	12	16
2	13	16
0	13	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize19.0ms (0.3%)

Memory

-7.4MiB live, 31.0MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 (.f64 #s(literal 2 binary64) x) x)
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) x)
✓	accuracy	55.9%	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))

Samples

13.0ms

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: 4.0ms (68.8% of total)

ival-sqrt: 2.0ms (34.4% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

4.2MiB live, 4.2MiB allocated

Counts

3 → 36

Calls

Call 1

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

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

Calls

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	(* 2 x)

simplify7.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	148
1	17	148
2	32	148
3	36	148
4	40	148
5	52	148
6	64	148
7	75	148
8	95	148
9	100	148
0	100	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))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)

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

rewrite340.0ms (4.9%)

Memory

-48.8MiB live, 407.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 230×	`lower-*.f32`
5 226×	`lower-*.f64`
3 666×	`lower-/.f64`
3 666×	`lower-/.f32`
3 090×	`lower-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	5	14
0	8	14
1	17	14
2	38	13
3	92	12
4	338	12
5	2074	12
0	8672	12

Stop Event

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

Counts

3 → 118

Calls

Call 1

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

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

eval19.0ms (0.3%)

Memory: -0.5MiB live, 35.6MiB allocated
Compiler: Compiled 2 080 to 350 computations (83.2% saved)

prune21.0ms (0.3%)

Memory

0.9MiB live, 46.4MiB allocated

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	145	9	154
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	145	10	155

Accuracy

100.0%

Counts

155 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
	99.4%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))))
	75.3%	(.f64 (.f64 (.f64 (sqrt.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))))
▶	75.7%	(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))
	75.3%	(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
▶	75.6%	(.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
▶	99.5%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
▶	99.4%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
	55.8%	(sqrt.f64 (.f64 (.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x))
✓	55.9%	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))

Compiler

Compiled 221 to 145 computations (34.4% saved)

simplify7.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

58×	`lower-*.f32`
38×	`lower-*.f64`
26×	`*-commutative`
20×	`lift-*.f64`
16×	`lift-sqrt.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	134
0	41	129
1	54	129
2	64	129
3	69	129
4	69	129
0	69	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 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 (sqrt.f64 x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))
(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (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 (sqrt.f64 (*.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 x (sqrt.f64 x))) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 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 (sqrt.f64 x) #s(literal 2 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
#s(literal 2 binary64)
(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))
(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (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 (sqrt.f64 (*.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

localize98.0ms (1.4%)

Memory

-4.3MiB live, 158.2MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
✓	accuracy	99.6%	(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
✓	accuracy	99.5%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
✓	accuracy	99.7%	(.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))
✓	accuracy	99.4%	(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))
✓	accuracy	84.9%	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x))))
✓	accuracy	75.3%	(sqrt.f64 (*.f64 x (sqrt.f64 x)))
✓	accuracy	99.8%	(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
✓	accuracy	99.7%	(*.f64 x (sqrt.f64 x))
✓	accuracy	99.5%	(.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
✓	accuracy	75.3%	(sqrt.f64 (*.f64 x (sqrt.f64 x)))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	99.4%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) x)
✓	accuracy	100.0%	(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.5%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))

Samples

50.0ms

256×

valid

Compiler

Compiled 136 to 24 computations (82.4% saved)

Precisions

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

ival-mult: 14.0ms (43.4% of total)

ival-sqrt: 13.0ms (40.3% of total)

ival-pow: 5.0ms (15.5% of total)

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

exact: 0.0ms (0% of total)

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

series212.0ms (3.1%)

Memory

32.0MiB live, 294.5MiB allocated

Counts

16 → 168

Calls

Call 1

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

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

Calls

42 calls:

Time	Variable		Point	Expression
62.0ms	x	@	0	(sqrt (* x (sqrt x)))
35.0ms	x	@	0	(* (sqrt (* (* 2 x) (sqrt (sqrt x)))) (sqrt (sqrt (* x (sqrt x)))))
31.0ms	x	@	0	(* x (pow 2 1/4))
14.0ms	x	@	-inf	(sqrt (* (* 2 x) (sqrt (sqrt x))))
14.0ms	x	@	-inf	(* (sqrt (* (* 2 x) (sqrt (sqrt x)))) (sqrt (sqrt (* x (sqrt x)))))

simplify424.0ms (6.1%)

Memory

17.1MiB live, 251.7MiB allocated

Algorithm

1×	egg-herbie

Rules

3 532×	`lower-*.f64`
3 532×	`lower-*.f32`
3 468×	`lower-fma.f64`
3 468×	`lower-fma.f32`
2 812×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	63	920
1	136	920
2	356	916
3	613	916
4	888	916
5	1530	916
6	1987	916
7	2126	916
8	2240	916
9	2374	916
10	2477	916
11	2911	916
12	3131	916
13	3147	916
14	3151	916
15	3151	916
16	3151	916
17	3151	916
18	3171	916
19	3179	916
20	3179	916
21	3700	916
22	5806	916
23	6164	916
24	6224	916
25	6224	916
26	6698	916
27	6750	916
28	6854	916
29	6906	916
30	6958	916
31	6958	916
32	7338	916
33	7490	916
34	7490	916
0	8043	916

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

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

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

rewrite259.0ms (3.7%)

Memory

-13.9MiB live, 457.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 844×	`lower-fma.f64`
4 844×	`lower-fma.f32`
3 140×	`lower-*.f32`
3 120×	`lower-*.f64`
1 552×	`pow-exp`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	94
0	41	78
1	81	76
2	212	61
3	805	61
4	4293	61
0	8206	61

Stop Event

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

Counts

16 → 715

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

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

eval154.0ms (2.2%)

Memory: 21.7MiB live, 339.2MiB allocated
Compiler: Compiled 19 139 to 1 896 computations (90.1% saved)

prune104.0ms (1.5%)

Memory

-23.7MiB live, 251.6MiB allocated

Pruning

15 alts after pruning (10 fresh and 5 done)

	Pruned	Kept	Total
New	1 259	8	1 267
Fresh	2	2	4
Picked	1	4	5
Done	0	1	1
Total	1 262	15	1 277

Accuracy

100.0%

Counts

1 277 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.0%	(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x)
▶	99.4%	(.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
	84.9%	(.f64 (.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
▶	75.3%	(.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))))) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
	99.1%	(.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
▶	85.0%	(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))))
✓	75.7%	(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))
	75.3%	(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
✓	75.6%	(.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
	65.0%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
▶	99.1%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))
✓	99.5%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
✓	99.4%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
▶	55.8%	(sqrt.f64 (.f64 (.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x))
✓	55.9%	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))

Compiler

Compiled 334 to 216 computations (35.3% saved)

simplify19.0ms (0.3%)

Memory

31.9MiB live, 31.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 (*.f64 x (sqrt.f64 x)))
✓	cost-diff	0	(sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))
✓	cost-diff	0	(.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))))) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
✓	cost-diff	3200	(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
✓	cost-diff	0	(.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))
✓	cost-diff	0	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x))))
✓	cost-diff	0	(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))))
✓	cost-diff	640	(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) x)
✓	cost-diff	0	(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
✓	cost-diff	0	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))
✓	cost-diff	2240	(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
✓	cost-diff	0	(.f64 (.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x)
✓	cost-diff	0	(sqrt.f64 (.f64 (.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x))
✓	cost-diff	1600	(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x))
✓	cost-diff	0	(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
✓	cost-diff	0	(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
✓	cost-diff	0	(pow.f64 x #s(literal 3/4 binary64))
✓	cost-diff	0	(.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))

Rules

582×	`lower-*.f32`
554×	`lower-*.f64`
510×	`associate-r`
280×	`associate-l`
102×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	207
0	51	192
1	77	166
2	120	166
3	225	166
4	250	166
5	261	166
6	318	166
7	673	166
8	674	166
9	674	166
0	674	166

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize315.0ms (4.5%)

Memory

2.7MiB live, 197.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(*.f64 x (sqrt.f64 x))
✓	accuracy	99.5%	(.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))))) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
✓	accuracy	99.1%	(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
✓	accuracy	75.3%	(sqrt.f64 (*.f64 x (sqrt.f64 x)))
✓	accuracy	99.7%	(.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))
✓	accuracy	99.4%	(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))))
✓	accuracy	99.4%	(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))
✓	accuracy	84.9%	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x))))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.9%	(sqrt.f64 (sqrt.f64 x))
✓	accuracy	99.5%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))
✓	accuracy	99.2%	(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.2%	(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x))
✓	accuracy	55.9%	(sqrt.f64 (.f64 (.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	100.0%	(pow.f64 x #s(literal 3/4 binary64))
✓	accuracy	99.8%	(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
✓	accuracy	99.5%	(.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))

Samples

223.0ms

256×

valid

Compiler

Compiled 209 to 29 computations (86.1% saved)

Precisions

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

ival-mult: 18.0ms (44.2% of total)

ival-sqrt: 15.0ms (36.8% of total)

ival-pow: 6.0ms (14.7% of total)

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

exact: 0.0ms (0% of total)

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

series89.0ms (1.3%)

Memory

-42.9MiB live, 128.6MiB allocated

Counts

23 → 276

Calls

Call 1

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

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

Calls

69 calls:

Time	Variable		Point	Expression
24.0ms	x	@	0	(* (sqrt (sqrt x)) (sqrt x))
15.0ms	x	@	-inf	(* (pow x 3/4) (sqrt (* (sqrt x) 2)))
14.0ms	x	@	-inf	(sqrt (sqrt (* x (sqrt x))))
10.0ms	x	@	0	(pow x 3/4)
7.0ms	x	@	-inf	(pow x 3/4)

simplify297.0ms (4.3%)

Memory

39.8MiB live, 316.7MiB allocated

Algorithm

1×	egg-herbie

Rules

3 660×	`lower-fma.f64`
3 660×	`lower-fma.f32`
3 430×	`lower-*.f64`
3 430×	`lower-*.f32`
1 410×	`unsub-neg`

Iterations

Useful iterations: 11 (0.0ms)

Iter	Nodes	Cost
0	87	1512
1	196	1512
2	525	1492
3	1133	1492
4	1699	1492
5	3011	1492
6	3929	1492
7	4297	1492
8	4500	1492
9	4596	1492
10	4719	1480
11	5574	1468
12	6155	1468
13	7269	1468
0	8051	1468

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

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

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

rewrite739.0ms (10.6%)

Memory

-1.6MiB live, 755.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

11 894×	`lower-fma.f64`
11 894×	`lower-fma.f32`
5 136×	`lower-*.f32`
5 110×	`lower-*.f64`
2 330×	`lower-pow.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	166
0	51	129
1	115	115
2	373	84
3	1651	84
4	5720	84
0	8550	84

Stop Event

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

Counts

23 → 1 982

Calls

Call 1

Inputs
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(pow.f64 x #s(literal 3/4 binary64))
(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(sqrt.f64 (.f64 (.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x))
(.f64 (.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x)
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))))
(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x))))
(.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))))) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))
(sqrt.f64 (*.f64 x (sqrt.f64 x)))
(sqrt.f64 x)
(sqrt.f64 (sqrt.f64 x))
(*.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 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log.f64 (.f64 #s(literal 2 binary64) (*.f64 x x)))))
(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))
(pow.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 4 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (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 x (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))))
(.f64 (sqrt.f64 x) (sqrt.f64 (.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 (sqrt.f64 x)) (sqrt.f64 (.f64 x (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (sqrt.f64 x)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 x (*.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 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))) (sqrt.f64 (.f64 x (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))))
(.f64 (sqrt.f64 (.f64 x (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 x)))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (.f64 x (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (sqrt.f64 x)))))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))))) (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))))) (sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))))
(*.f64 (sqrt.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))))))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (.f64 x x) (*.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)) (pow.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (sqrt.f64 x) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 4 binary64) (.f64 x (.f64 x (sqrt.f64 x)))) #s(literal 1/8 binary64)) (pow.f64 (.f64 (.f64 x (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))) (.f64 x (sqrt.f64 x))) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (.f64 x (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (sqrt.f64 x)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (.f64 x (.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x))))))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 (.f64 x (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))))))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 x (sqrt.f64 (.f64 x (sqrt.f64 x))))))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (sqrt.f64 x))))) (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))))
(.f64 (pow.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (sqrt.f64 x) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (.f64 x x) (.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (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 (pow.f64 (.f64 (.f64 x (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))) (.f64 x (sqrt.f64 x))) #s(literal 1/4 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 x (.f64 x (sqrt.f64 x)))) #s(literal 1/8 binary64)))
(.f64 (sqrt.f64 (.f64 (.f64 x (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))))
(.f64 (sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
(.f64 (sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (.f64 x (.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x))))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))))) (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x))))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))))
(.f64 (pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 (log.f64 x) #s(literal 1/4 binary64))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 x (.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x))))))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 (log.f64 x) #s(literal 3/8 binary64))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 (.f64 x #s(literal 2 binary64)) (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 3/8 binary64))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 7/4 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 5/4 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (sqrt.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)) (log.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 7/4 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))))))) (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)) (log.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (sqrt.f64 x)))))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 5/4 binary64) (log.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 x (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (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 (.f64 x (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x))))))))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) x)
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 x (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (sqrt.f64 x))))))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (.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))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 3/8 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 x (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))) (sqrt.f64 (sqrt.f64 x)))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (.f64 x (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (sqrt.f64 x)))))))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 (.f64 x (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 5/8 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))))))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) (log.f64 x))))
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(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/8 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 5/8 binary64) (log.f64 x))))
(.f64 (pow.f64 (.f64 (exp.f64 #s(literal 3/4 binary64)) (exp.f64 #s(literal 3/4 binary64))) (.f64 (log.f64 x) #s(literal 1/4 binary64))) (pow.f64 (.f64 (exp.f64 #s(literal 3/4 binary64)) (exp.f64 #s(literal 3/4 binary64))) (*.f64 #s(literal 3/4 binary64) (log.f64 x))))
(.f64 (pow.f64 (.f64 (exp.f64 #s(literal 3/4 binary64)) (exp.f64 #s(literal 3/4 binary64))) (.f64 (log.f64 x) #s(literal 1/2 binary64))) (pow.f64 (.f64 (exp.f64 #s(literal 3/4 binary64)) (exp.f64 #s(literal 3/4 binary64))) (*.f64 (log.f64 x) #s(literal 1/2 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 #s(literal 1/8 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 11/8 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 #s(literal 1/8 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 (sqrt.f64 x) (.f64 x (.f64 x (sqrt.f64 (sqrt.f64 x)))))))))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (log.f64 x) #s(literal 3/16 binary64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 9/16 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (log.f64 x) #s(literal 3/16 binary64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (.f64 #s(literal 9/8 binary64) (log.f64 x)) #s(literal 1/2 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 7/4 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 5/4 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 5/4 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 7/4 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 #s(literal 15/8 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 #s(literal 7/8 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 5/8 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 (*.f64 #s(literal 1/8 binary64) (log.f64 x)) #s(literal 4 binary64))) x)
(.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (.f64 (log.f64 x) #s(literal 3/16 binary64))) (pow.f64 (exp.f64 #s(literal 4 binary64)) (*.f64 (log.f64 x) #s(literal 3/16 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (.f64 #s(literal 1/16 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 4 binary64)) (*.f64 #s(literal 5/16 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (.f64 (.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 1/4 binary64))) (pow.f64 (exp.f64 #s(literal 4 binary64)) (.f64 (*.f64 #s(literal 5/4 binary64) (log.f64 x)) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (.f64 (*.f64 #s(literal 1/8 binary64) (log.f64 x)) #s(literal 1 binary64))) x)
(.f64 (pow.f64 (exp.f64 #s(literal 3/4 binary64)) (.f64 #s(literal 5/4 binary64) (log.f64 x))) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
(.f64 (pow.f64 (exp.f64 #s(literal 3/4 binary64)) (.f64 #s(literal 11/8 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 3/4 binary64)) (*.f64 #s(literal 5/8 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 3/4 binary64)) (.f64 #s(literal 7/8 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 3/4 binary64)) (*.f64 #s(literal 9/8 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/8 binary64) (log.f64 x)) #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (*.f64 #s(literal 5/8 binary64) (log.f64 x)) #s(literal 1 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 (log.f64 x) #s(literal 3/16 binary64))) (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 #s(literal 3/4 binary64) (.f64 #s(literal 7/4 binary64) (log.f64 x)))))
(.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 (.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 3/2 binary64))) (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 #s(literal 9/8 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (.f64 (log.f64 x) #s(literal 3/8 binary64))) (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (*.f64 #s(literal 5/8 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (.f64 #s(literal 1/8 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (*.f64 #s(literal 7/8 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 3/4 binary64)) (.f64 #s(literal 7/4 binary64) (log.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
(.f64 (pow.f64 (exp.f64 #s(literal 3/4 binary64)) (.f64 #s(literal 13/8 binary64) (log.f64 x))) (pow.f64 x #s(literal 9/32 binary64)))
(.f64 (pow.f64 (exp.f64 #s(literal 3/4 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 x (.f64 x (*.f64 x (sqrt.f64 (sqrt.f64 x)))))))) (pow.f64 x #s(literal 9/32 binary64)))
(.f64 (pow.f64 (.f64 (exp.f64 #s(literal 3/4 binary64)) (exp.f64 #s(literal 3/4 binary64))) (.f64 #s(literal 3/4 binary64) (log.f64 x))) (pow.f64 (.f64 (exp.f64 #s(literal 3/4 binary64)) (exp.f64 #s(literal 3/4 binary64))) (*.f64 (log.f64 x) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (.f64 (exp.f64 #s(literal 3/4 binary64)) (exp.f64 #s(literal 3/4 binary64))) (.f64 (log.f64 x) #s(literal 3/8 binary64))) (pow.f64 (.f64 (exp.f64 #s(literal 3/4 binary64)) (exp.f64 #s(literal 3/4 binary64))) (*.f64 #s(literal 5/8 binary64) (log.f64 x))))
(.f64 (pow.f64 (.f64 (exp.f64 #s(literal 3/4 binary64)) (exp.f64 #s(literal 3/4 binary64))) (.f64 #s(literal 5/8 binary64) (log.f64 x))) (pow.f64 (.f64 (exp.f64 #s(literal 3/4 binary64)) (exp.f64 #s(literal 3/4 binary64))) (*.f64 (log.f64 x) #s(literal 3/8 binary64))))
(.f64 (pow.f64 (.f64 (exp.f64 #s(literal 3/4 binary64)) (exp.f64 #s(literal 3/4 binary64))) (.f64 #s(literal 1/8 binary64) (log.f64 x))) (pow.f64 (.f64 (exp.f64 #s(literal 3/4 binary64)) (exp.f64 #s(literal 3/4 binary64))) (*.f64 #s(literal 7/8 binary64) (log.f64 x))))
(.f64 (pow.f64 (.f64 (exp.f64 #s(literal 3/4 binary64)) (exp.f64 #s(literal 3/4 binary64))) (.f64 #s(literal 7/8 binary64) (log.f64 x))) (pow.f64 (.f64 (exp.f64 #s(literal 3/4 binary64)) (exp.f64 #s(literal 3/4 binary64))) (*.f64 #s(literal 1/8 binary64) (log.f64 x))))
(.f64 (pow.f64 (.f64 (exp.f64 #s(literal 3/4 binary64)) (exp.f64 #s(literal 3/4 binary64))) (.f64 (.f64 #s(literal 1/8 binary64) (log.f64 x)) #s(literal 4 binary64))) (pow.f64 (.f64 (exp.f64 #s(literal 3/4 binary64)) (exp.f64 #s(literal 3/4 binary64))) (.f64 (*.f64 #s(literal 1/8 binary64) (log.f64 x)) #s(literal 4 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 5/8 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/8 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 9/16 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 3/16 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (.f64 #s(literal 9/8 binary64) (log.f64 x)) #s(literal 1/2 binary64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (log.f64 x) #s(literal 3/16 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 3/4 binary64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (*.f64 #s(literal 3/4 binary64) (log.f64 x)) #s(literal 3/4 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (.f64 #s(literal 3/4 binary64) (log.f64 x)) #s(literal 3/4 binary64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 3/4 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 3/4 binary64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 3/4 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 3/2 binary64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 3/2 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/8 binary64) (log.f64 x)) #s(literal 3 binary64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (*.f64 #s(literal 1/8 binary64) (log.f64 x)) #s(literal 3 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (.f64 (log.f64 x) #s(literal 3/16 binary64)) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (*.f64 (log.f64 x) #s(literal 3/16 binary64)) #s(literal 2 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 11/4 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 9/4 binary64) (log.f64 x))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 3 binary64) (.f64 #s(literal 7/8 binary64) (log.f64 x)))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 (log.f64 x) #s(literal 3/8 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 5/2 binary64) (log.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 15/8 binary64) (log.f64 x))) (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 binary64)) (.f64 #s(literal 5/4 binary64) (log.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 (*.f64 #s(literal 5/4 binary64) (log.f64 x)) #s(literal 1 binary64))) (sqrt.f64 (sqrt.f64 x)))
(.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 #s(literal 9/8 binary64) (log.f64 x))) (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))
(.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 #s(literal 9/8 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 (.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 3/2 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 (.f64 #s(literal 9/8 binary64) (log.f64 x)) #s(literal 1 binary64))) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))
(.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 #s(literal 11/8 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 1/8 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 (sqrt.f64 x) (.f64 x (.f64 x (sqrt.f64 (sqrt.f64 x)))))))) (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 #s(literal 1/8 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 #s(literal 3/4 binary64) (.f64 #s(literal 7/4 binary64) (log.f64 x)))) (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 (log.f64 x) #s(literal 3/16 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 (.f64 (log.f64 x) #s(literal 3/16 binary64)) #s(literal 4 binary64))) (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 (*.f64 (log.f64 x) #s(literal 3/16 binary64)) #s(literal 4 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (.f64 #s(literal 5/16 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 4 binary64)) (*.f64 #s(literal 1/16 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (.f64 #s(literal 9/32 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 4 binary64)) (*.f64 #s(literal 3/32 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (.f64 #s(literal 3/32 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 4 binary64)) (*.f64 #s(literal 9/32 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (.f64 (.f64 #s(literal 3/4 binary64) (log.f64 x)) #s(literal 3/8 binary64))) (pow.f64 (exp.f64 #s(literal 4 binary64)) (.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 3/8 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (.f64 (.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 3/8 binary64))) (pow.f64 (exp.f64 #s(literal 4 binary64)) (.f64 (*.f64 #s(literal 3/4 binary64) (log.f64 x)) #s(literal 3/8 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (.f64 (.f64 #s(literal 5/4 binary64) (log.f64 x)) #s(literal 1/4 binary64))) (pow.f64 (exp.f64 #s(literal 4 binary64)) (.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (.f64 (.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 3/8 binary64))) (pow.f64 (exp.f64 #s(literal 4 binary64)) (.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 3/8 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (.f64 (.f64 (log.f64 x) #s(literal 3/8 binary64)) #s(literal 1/4 binary64))) (pow.f64 (exp.f64 #s(literal 4 binary64)) (.f64 (*.f64 #s(literal 9/8 binary64) (log.f64 x)) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (.f64 (.f64 #s(literal 9/8 binary64) (log.f64 x)) #s(literal 1/4 binary64))) (pow.f64 (exp.f64 #s(literal 4 binary64)) (.f64 (*.f64 (log.f64 x) #s(literal 3/8 binary64)) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (.f64 (.f64 (log.f64 x) #s(literal 3/16 binary64)) #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal 4 binary64)) (.f64 (*.f64 (log.f64 x) #s(literal 3/16 binary64)) #s(literal 1 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (.f64 (.f64 #s(literal 1/8 binary64) (log.f64 x)) #s(literal 1/2 binary64))) (pow.f64 (exp.f64 #s(literal 4 binary64)) (.f64 (*.f64 #s(literal 5/8 binary64) (log.f64 x)) #s(literal 1/2 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (.f64 #s(literal 3/4 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (*.f64 (log.f64 x) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (.f64 #s(literal 5/8 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (*.f64 (log.f64 x) #s(literal 3/8 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (.f64 #s(literal 7/8 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (*.f64 #s(literal 1/8 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (.f64 (.f64 #s(literal 1/8 binary64) (log.f64 x)) #s(literal 4 binary64))) (pow.f64 (exp.f64 #s(literal 3/2 binary64)) (.f64 (*.f64 #s(literal 1/8 binary64) (log.f64 x)) #s(literal 4 binary64))))

eval590.0ms (8.5%)

Memory: 34.3MiB live, 1 272.4MiB allocated
Compiler: Compiled 82 946 to 8 082 computations (90.3% saved)

prune533.0ms (7.7%)

Memory

-29.3MiB live, 844.3MiB allocated

Pruning

16 alts after pruning (6 fresh and 10 done)

	Pruned	Kept	Total
New	3 918	3	3 921
Fresh	2	3	5
Picked	0	5	5
Done	0	5	5
Total	3 920	16	3 936

Accuracy

100.0%

Counts

3 936 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(.f64 (pow.f64 x #s(literal 3/4 binary64)) (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
✓	99.4%	(.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
▶	84.9%	(.f64 (.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
▶	99.1%	(.f64 (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))))
✓	75.3%	(.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))))) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
▶	99.1%	(.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
	75.6%	(.f64 (sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
✓	85.0%	(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))))
✓	75.7%	(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))
▶	75.3%	(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
✓	75.6%	(.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
✓	99.1%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))
✓	99.5%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
✓	99.4%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	55.8%	(sqrt.f64 (.f64 (.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x))
✓	55.9%	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))

Compiler

Compiled 315 to 203 computations (35.6% saved)

simplify10.0ms (0.1%)

Memory

-19.5MiB live, 19.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

132×	`lower-*.f32`
102×	`lower-*.f64`
56×	`*-commutative`
30×	`lift-*.f64`
28×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	236
0	53	236
1	78	236
2	111	236
3	119	236
0	119	236

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize116.0ms (1.7%)

Memory

0.2MiB live, 275.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(*.f64 x (sqrt.f64 (sqrt.f64 x)))
✓	accuracy	99.5%	(.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
✓	accuracy	99.5%	(.f64 (.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
✓	accuracy	84.9%	(sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))
✓	accuracy	99.8%	(sqrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))
✓	accuracy	99.4%	(.f64 (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))))
✓	accuracy	99.4%	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
✓	accuracy	99.4%	(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))
✓	accuracy	99.9%	(sqrt.f64 (sqrt.f64 x))
✓	accuracy	99.8%	(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
✓	accuracy	99.5%	(.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
✓	accuracy	99.4%	(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))
✓	accuracy	99.9%	(sqrt.f64 (sqrt.f64 x))
✓	accuracy	99.8%	(.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x))
✓	accuracy	99.5%	(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
✓	accuracy	74.9%	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)))
✓	accuracy	99.8%	(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))
✓	accuracy	99.8%	(sqrt.f64 (sqrt.f64 (sqrt.f64 x)))
✓	accuracy	99.5%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
✓	accuracy	99.5%	(.f64 (pow.f64 x #s(literal 3/4 binary64)) (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))

Samples

65.0ms

256×

valid

Compiler

Compiled 238 to 30 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 22.0ms (47.9% of total)

ival-sqrt: 15.0ms (32.7% of total)

ival-pow: 8.0ms (17.4% of total)

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

exact: 0.0ms (0% of total)

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

series49.0ms (0.7%)

Memory

23.8MiB live, 100.0MiB allocated

Counts

23 → 276

Calls

Call 1

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

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

Calls

69 calls:

Time	Variable		Point	Expression
18.0ms	x	@	-inf	(sqrt (* x (sqrt (sqrt x))))
7.0ms	x	@	-inf	(* (sqrt (* x 2)) (sqrt (sqrt (sqrt x))))
7.0ms	x	@	0	(* (sqrt (* 2 (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))
7.0ms	x	@	-inf	(* (sqrt (* 2 (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))
3.0ms	x	@	-inf	(sqrt (* (* 2 x) (sqrt x)))

simplify242.0ms (3.5%)

Memory

-8.9MiB live, 276.3MiB allocated

Algorithm

1×	egg-herbie

Rules

3 408×	`lower-*.f64`
3 408×	`lower-*.f32`
3 348×	`lower-fma.f64`
3 348×	`lower-fma.f32`
1 296×	`div-sub`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	92	1688
1	203	1688
2	506	1672
3	996	1672
4	1499	1672
5	2607	1672
6	3375	1672
7	3918	1648
8	4329	1648
9	4781	1648
10	5487	1648
11	6758	1648
12	7714	1648
0	8020	1648

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

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

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

rewrite407.0ms (5.9%)

Memory

0.6MiB live, 470.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 146×	`lower-fma.f64`
6 146×	`lower-fma.f32`
5 184×	`lower-*.f32`
5 158×	`lower-*.f64`
1 956×	`lower-exp.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	28	173
0	53	162
1	114	124
2	303	90
3	1191	89
4	4848	89
0	8105	89

Stop Event

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

Counts

23 → 1 415

Calls

Call 1

Inputs
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(pow.f64 x #s(literal 3/4 binary64))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (sqrt.f64 x))))
(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)))
(.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x))
(*.f64 #s(literal 2 binary64) x)
(.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))
(sqrt.f64 (sqrt.f64 x))
(sqrt.f64 x)
(.f64 (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))))
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
(.f64 (.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x))))
(*.f64 x (sqrt.f64 (sqrt.f64 x)))
(sqrt.f64 (sqrt.f64 (sqrt.f64 x)))
(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(sqrt.f64 (*.f64 (sqrt.f64 (sqrt.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 (fma.f64 #s(literal 1/2 binary64) (log.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x))) (.f64 #s(literal 3/4 binary64) (log.f64 x))))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x (.f64 (sqrt.f64 (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 x) (.f64 (*.f64 x x) #s(literal 4 binary64)))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 4 binary64))))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 4 binary64))) x)) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (sqrt.f64 x))))) x)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (*.f64 x x))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 #s(literal 2 binary64) (.f64 x x)))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (exp.f64 (log.f64 (.f64 #s(literal 2 binary64) (*.f64 x x))))) #s(literal 1/2 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 x (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (sqrt.f64 x)))))))
(sqrt.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (sqrt.f64 x))))) x))
(pow.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 x (.f64 (sqrt.f64 (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 x) (.f64 (.f64 x x) #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 4 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 4 binary64))) x) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (sqrt.f64 x))))) x) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))) #s(literal 1/2 binary64))
(pow.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 (pow.f64 (.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 (.f64 (pow.f64 (.f64 (sqrt.f64 x) #s(literal 4 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))) (sqrt.f64 (sqrt.f64 x))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 (pow.f64 (.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))) (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))))) (.f64 (pow.f64 (.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))
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(pow.f64 (pow.f64 (exp.f64 #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 3/4 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 3/4 binary64)) #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 3/4 binary64)) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 3/8 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 3/8 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 3/8 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (*.f64 (log.f64 x) #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 3/8 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 3/8 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 3/8 binary64)) #s(literal 1 binary64)) (log.f64 x))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x))))))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (pow.f64 (.f64 x (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) (sqrt.f64 (.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))))) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))) (pow.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))) (pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) #s(literal 3/8 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))) (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 3/4 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))) (pow.f64 (*.f64 x (sqrt.f64 x)) #s(literal 3/16 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))) (sqrt.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))))))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 3/8 binary64)) (pow.f64 (sqrt.f64 (.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))) #s(literal 3/8 binary64)))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))) #s(literal 3/8 binary64)) (pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) #s(literal 3/8 binary64)))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #s(literal 3/4 binary64)) (pow.f64 (.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) #s(literal 3/4 binary64)))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (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 (.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))))) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 3/16 binary64)) (pow.f64 (.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 3/16 binary64)))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) #s(literal 3/8 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))))
(.f64 (pow.f64 (sqrt.f64 (.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x))))) #s(literal 3/8 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 3/8 binary64)))
(.f64 (pow.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) #s(literal 3/8 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 3/8 binary64)))
(.f64 (pow.f64 (sqrt.f64 (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 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x))))) #s(literal 3/4 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) #s(literal 3/4 binary64)))
(.f64 (pow.f64 (.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))) #s(literal 3/4 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) #s(literal 3/4 binary64)))
(.f64 (pow.f64 (.f64 x (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))))) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
(.f64 (pow.f64 (.f64 x (sqrt.f64 x)) #s(literal 3/16 binary64)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))))
(.f64 (pow.f64 (.f64 x (sqrt.f64 (*.f64 x (sqrt.f64 x)))) #s(literal 3/16 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 3/16 binary64)))
(.f64 (pow.f64 (.f64 x (sqrt.f64 (sqrt.f64 x))) #s(literal 3/16 binary64)) (pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x))) #s(literal 3/16 binary64)))
(.f64 (pow.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (.f64 x (sqrt.f64 x))) #s(literal 3/16 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))) #s(literal 3/16 binary64)))
(.f64 (pow.f64 (.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))))) #s(literal 3/16 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 3/16 binary64)))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (sqrt.f64 x)))))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 (log.f64 x) #s(literal 3/8 binary64))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 3/8 binary64))))
(.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)) (*.f64 #s(literal 5/8 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 5/8 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 3/4 binary64)) (.f64 #s(literal 1/8 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 3/4 binary64)) (*.f64 (log.f64 x) #s(literal 3/8 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 3/4 binary64)) (.f64 #s(literal 1/16 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 3/4 binary64)) (*.f64 #s(literal 7/16 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 3/4 binary64)) (.f64 (log.f64 x) #s(literal 3/16 binary64))) (pow.f64 (exp.f64 #s(literal 3/4 binary64)) (*.f64 #s(literal 5/16 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 3/4 binary64)) (.f64 (log.f64 x) #s(literal 3/8 binary64))) (pow.f64 (exp.f64 #s(literal 3/4 binary64)) (*.f64 #s(literal 1/8 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 3/4 binary64)) (.f64 #s(literal 7/16 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 3/4 binary64)) (*.f64 #s(literal 1/16 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 3/4 binary64)) (.f64 #s(literal 5/16 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 3/4 binary64)) (*.f64 (log.f64 x) #s(literal 3/16 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/16 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 11/8 binary64) (.f64 (log.f64 x) #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 11/8 binary64) (.f64 (log.f64 x) #s(literal 1/2 binary64)))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/16 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 (log.f64 x) #s(literal 3/16 binary64))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 9/16 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 9/16 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 3/16 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 5/16 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 7/16 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 7/16 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 5/16 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal 1/8 binary64) (log.f64 x)) #s(literal 3/2 binary64))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 (*.f64 (log.f64 x) #s(literal 3/8 binary64)) #s(literal 3/2 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 (.f64 (log.f64 x) #s(literal 3/8 binary64)) #s(literal 3/2 binary64))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 (*.f64 #s(literal 1/8 binary64) (log.f64 x)) #s(literal 3/2 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 3/8 binary64)) (.f64 (log.f64 x) #s(literal 1/2 binary64))) (pow.f64 (exp.f64 #s(literal 3/8 binary64)) (*.f64 (log.f64 x) #s(literal 1/2 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 3/8 binary64)) (.f64 (log.f64 x) #s(literal 1/4 binary64))) (pow.f64 (exp.f64 #s(literal 3/8 binary64)) (*.f64 #s(literal 3/4 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 3/8 binary64)) (.f64 #s(literal 3/4 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 3/8 binary64)) (*.f64 (log.f64 x) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 3/8 binary64)) (.f64 #s(literal 1/8 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 3/8 binary64)) (*.f64 #s(literal 7/8 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 3/8 binary64)) (.f64 #s(literal 7/8 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 3/8 binary64)) (*.f64 #s(literal 1/8 binary64) (log.f64 x))))
(.f64 (pow.f64 (exp.f64 #s(literal 3/8 binary64)) (.f64 #s(literal 5/8 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 3/8 binary64)) (*.f64 (log.f64 x) #s(literal 3/8 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal 3/8 binary64)) (.f64 (log.f64 x) #s(literal 3/8 binary64))) (pow.f64 (exp.f64 #s(literal 3/8 binary64)) (*.f64 #s(literal 5/8 binary64) (log.f64 x))))

eval648.0ms (9.3%)

Memory: 53.2MiB live, 698.8MiB allocated
Compiler: Compiled 62 174 to 5 623 computations (91% saved)

prune290.0ms (4.2%)

Memory

-13.4MiB live, 655.1MiB allocated

Pruning

15 alts after pruning (3 fresh and 12 done)

	Pruned	Kept	Total
New	3 098	2	3 100
Fresh	0	1	1
Picked	2	3	5
Done	1	9	10
Total	3 101	15	3 116

Accuracy

100.0%

Counts

3 116 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
✓	84.9%	(.f64 (.f64 (sqrt.f64 (.f64 x (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
	99.1%	(.f64 (.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
✓	75.3%	(.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))))) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
	98.8%	(.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64))))
✓	99.1%	(.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
	75.6%	(.f64 (sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))) (sqrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))))
✓	85.0%	(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 x))))
✓	75.7%	(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (sqrt.f64 (.f64 x (sqrt.f64 x)))))
✓	75.3%	(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
✓	75.6%	(.f64 (sqrt.f64 (.f64 x (sqrt.f64 x))) (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
✓	99.5%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
✓	99.4%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	55.8%	(sqrt.f64 (.f64 (.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x))
✓	55.9%	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))

Compiler

Compiled 491 to 205 computations (58.2% saved)

regimes26.0ms (0.4%)

Memory

-51.7MiB live, 45.6MiB allocated

Counts

23 → 1

Calls

Call 1

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

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

Calls

3 calls:

12.0ms	x
6.0ms	(.f64 (.f64 #s(literal 2 binary64) x) x)
6.0ms	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory

7.5MiB live, 7.5MiB allocated

Accuracy

Total -28.0b remaining (-6828.2%)

Threshold costs -28b (-6828.2%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify5.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	11	11

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness158.0ms (2.3%)

Memory

-9.7MiB live, 143.5MiB allocated

Rules

5 230×	`lower-*.f32`
5 226×	`lower-*.f64`
3 666×	`lower-/.f64`
3 666×	`lower-/.f32`
3 090×	`lower-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	5	14
0	8	14
1	17	14
2	38	13
3	92	12
4	338	12
5	2074	12
0	8672	12

Stop Event

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

Compiler

Compiled 37 to 23 computations (37.8% saved)

preprocess23.0ms (0.3%)

Memory: 23.6MiB live, 60.9MiB allocated
Compiler: Compiled 70 to 50 computations (28.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	9	148
1	17	148
2	32	148
3	36	148
4	40	148
5	52	148
6	64	148
7	75	148
8	95	148
9	100	148
0	100	148

Iter	Nodes	Cost
0	27	207
0	51	192
1	77	166
2	120	166
3	225	166
4	250	166
5	261	166
6	318	166
7	673	166
8	674	166
9	674	166
0	674	166

Iter	Nodes	Cost
0	9	148
1	17	148
2	32	148
3	36	148
4	40	148
5	52	148
6	64	148
7	75	148
8	95	148
9	100	148
0	100	148

Iter	Nodes	Cost
0	27	207
0	51	192
1	77	166
2	120	166
3	225	166
4	250	166
5	261	166
6	318	166
7	673	166
8	674	166
9	674	166
0	674	166

analyze0.0ms (0%)

sample637.0ms (9.2%)

preprocess21.0ms (0.3%)

explain59.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize19.0ms (0.3%)

series3.0ms (0%)

simplify7.0ms (0.1%)

rewrite340.0ms (4.9%)

eval19.0ms (0.3%)

prune21.0ms (0.3%)

simplify7.0ms (0.1%)

localize98.0ms (1.4%)

series212.0ms (3.1%)

simplify424.0ms (6.1%)

rewrite259.0ms (3.7%)

eval154.0ms (2.2%)

prune104.0ms (1.5%)

simplify19.0ms (0.3%)

localize315.0ms (4.5%)

series89.0ms (1.3%)

simplify297.0ms (4.3%)

rewrite739.0ms (10.6%)

eval590.0ms (8.5%)

prune533.0ms (7.7%)

simplify10.0ms (0.1%)

localize116.0ms (1.7%)

series49.0ms (0.7%)

simplify242.0ms (3.5%)

rewrite407.0ms (5.9%)

eval648.0ms (9.3%)

prune290.0ms (4.2%)

regimes26.0ms (0.4%)

regimes5.0ms (0.1%)

simplify5.0ms (0.1%)

soundness158.0ms (2.3%)

preprocess23.0ms (0.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	9	148
1	17	148
2	32	148
3	36	148
4	40	148
5	52	148
6	64	148
7	75	148
8	95	148
9	100	148
0	100	148

Iter	Nodes	Cost
0	27	207
0	51	192
1	77	166
2	120	166
3	225	166
4	250	166
5	261	166
6	318	166
7	673	166
8	674	166
9	674	166
0	674	166