Metrics for sqrt C (should all be same)

analyze0.0ms (0%)

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 6 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

const: 0.0ms (0% of total)

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

backward-pass: 0.0ms (0% of total)

sample773.0ms (14.8%)

Results

559.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 320.0ms

ival-mult: 178.0ms (55.6% of total)

ival-sqrt: 129.0ms (40.3% of total)

const: 11.0ms (3.4% of total)

backward-pass: 3.0ms (0.9% of total)

Bogosity

preprocess21.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

128×	`fma-define`
124×	`fmsub-define`
120×	`fnmsub-define`
120×	`fnmadd-define`
40×	`sum3-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	16
1	27	16
2	68	16
3	141	16
4	222	16
5	375	16
6	490	16
7	493	16
0	5	5
1	9	5
2	12	5
0	12	5

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

Symmetry

(abs x)

explain93.0ms (1.8%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
129	-	3	(1.2402149907660508e-161)	`(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))`
0	-	0	-	`(.f64 #s(literal 2 binary64) (.f64 x x))`
0	-	0	-	`x`
0	-	0	-	`(*.f64 x x)`
0	-	0	-	`#s(literal 2 binary64)`

Results

73.0ms

512×

valid

Compiler

Compiled 43 to 17 computations (60.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 8.0ms (62.2% of total)

ival-sqrt: 4.0ms (31.1% of total)

const: 1.0ms (7.8% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.5%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
1	9	13
2	12	13
0	12	13

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize27.0ms (0.5%)

Localize:

Found 3 expressions of interest:

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

Results

20.0ms

256×

valid

Compiler

Compiled 18 to 6 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 4.0ms (60.3% of total)

ival-sqrt: 2.0ms (30.1% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series3.0ms (0.1%)

Counts

3 → 36

Calls

Call 1

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

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

Calls

9 calls:

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

rewrite342.0ms (6.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3406×	`-lowering-.f32`
3406×	`-lowering-.f64`
1454×	`+-lowering-+.f64`
1454×	`+-lowering-+.f32`
1444×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	5	11
1	15	11
2	44	10
3	125	10
4	590	10
5	4124	10
0	8112	10

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 216

Calls

Call 1

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

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

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

106×	`sum3-define`
98×	`fma-define`
46×	`fma-lowering-fma.f32`
46×	`fma-lowering-fma.f64`
38×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	148
1	15	124
2	33	124
3	38	124
4	42	124
5	64	124
6	96	124
7	108	124
8	139	124
9	232	124
10	235	124
0	235	124

Stop Event

1×	iter limit
1×	saturated

Counts

36 → 36

Calls

Call 1

Inputs
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)

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

eval32.0ms (0.6%)

Compiler: Compiled 3127 to 756 computations (75.8% saved)

prune42.0ms (0.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	245	7	252
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	245	8	253

Accuracy

100.0%

Counts

253 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(.f64 (pow.f64 (.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
▶	99.5%	(.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x))
▶	99.5%	(.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x))))
	99.3%	(.f64 (pow.f64 x #s(literal 3/8 binary64)) (.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64))))
	99.2%	(.f64 (pow.f64 x #s(literal 1/8 binary64)) (.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64))))
▶	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))))
▶	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	53.5%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))

Compiler

Compiled 151 to 115 computations (23.8% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
✓	cost-diff	0	(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
✓	cost-diff	0	(pow.f64 x #s(literal 3/4 binary64))
✓	cost-diff	0	(.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x))))
✓	cost-diff	0	(pow.f64 x #s(literal 3/4 binary64))
✓	cost-diff	0	(*.f64 x #s(literal 4 binary64))
✓	cost-diff	0	(pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))
✓	cost-diff	0	(.f64 (pow.f64 (.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
✓	cost-diff	0	(*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
✓	cost-diff	0	(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
✓	cost-diff	6656	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 (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	(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64))
✓	cost-diff	0	(.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x))

Rules

38×	`-lowering-.f32`
38×	`-lowering-.f64`
18×	`*-commutative`
10×	`pow-lowering-pow.f64`
10×	`pow-lowering-pow.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	92
1	33	92
2	36	92
3	39	92
4	39	92
0	39	92

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize157.0ms (3%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.8%	(sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
✓	accuracy	99.5%	(.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x))))
✓	accuracy	100.0%	(pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))
✓	accuracy	100.0%	(pow.f64 x #s(literal 3/4 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal 4 binary64))
✓	accuracy	99.5%	(.f64 (pow.f64 (.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
✓	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	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	accuracy	100.0%	(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) x)
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.5%	(.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x))

Results

127.0ms

256×

valid

Compiler

Compiled 101 to 23 computations (77.2% saved)

Precisions

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

ival-pow: 19.0ms (47% of total)

ival-mult: 14.0ms (34.6% of total)

ival-sqrt: 6.0ms (14.8% of total)

const: 1.0ms (2.5% of total)

backward-pass: 0.0ms (0% of total)

series445.0ms (8.5%)

Counts

16 → 168

Calls

Call 1

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

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

Calls

42 calls:

Time	Variable		Point	Expression
243.0ms	x	@	inf	(pow (* x 4) 1/4)
43.0ms	x	@	0	(* x (pow 2 1/4))
35.0ms	x	@	-inf	(pow (* x 4) 1/4)
24.0ms	x	@	inf	(sqrt (* 2 (sqrt x)))
23.0ms	x	@	0	(* (pow (* x 4) 1/4) (pow x 3/4))

rewrite317.0ms (6.1%)

Algorithm

1×	batch-egg-rewrite

Rules

2962×	`+-lowering-+.f64`
2962×	`+-lowering-+.f32`
1948×	`prod-diff`
1918×	`prod-exp`
1882×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	74
1	68	69
2	205	59
3	842	59
4	5273	59
0	8663	59

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 621

Calls

Call 1

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

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

simplify214.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

2582×	`fnmadd-define`
1804×	`fma-lowering-fma.f32`
1804×	`fma-lowering-fma.f64`
1800×	`-lowering-.f32`
1800×	`-lowering-.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	71	864
1	172	860
2	472	836
3	1008	812
4	1379	808
5	2165	808
6	4271	808
7	6905	808
0	8099	808

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))
(* 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 4 1/4) x)
(* (pow 4 1/4) x)
(* (pow 4 1/4) x)
(* (pow 4 1/4) x)
(* (pow 4 1/4) x)
(* (pow 4 1/4) x)
(* (pow 4 1/4) x)
(* (pow 4 1/4) x)
(* -1 (* (pow 4 1/4) x))
(* -1 (* (pow 4 1/4) x))
(* -1 (* (pow 4 1/4) x))
(* -1 (* (pow 4 1/4) x))
(exp (* 1/4 (+ (log 4) (log x))))
(exp (* 1/4 (+ (log 4) (log x))))
(exp (* 1/4 (+ (log 4) (log x))))
(exp (* 1/4 (+ (log 4) (log x))))
(exp (* 1/4 (+ (log 4) (* -1 (log (/ 1 x))))))
(exp (* 1/4 (+ (log 4) (* -1 (log (/ 1 x))))))
(exp (* 1/4 (+ (log 4) (* -1 (log (/ 1 x))))))
(exp (* 1/4 (+ (log 4) (* -1 (log (/ 1 x))))))
(exp (* 1/4 (+ (log -4) (* -1 (log (/ -1 x))))))
(exp (* 1/4 (+ (log -4) (* -1 (log (/ -1 x))))))
(exp (* 1/4 (+ (log -4) (* -1 (log (/ -1 x))))))
(exp (* 1/4 (+ (log -4) (* -1 (log (/ -1 x))))))
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 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)
(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))))))
(* 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 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)))

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

eval117.0ms (2.2%)

Compiler: Compiled 11237 to 996 computations (91.1% saved)

prune75.0ms (1.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	895	2	897
Fresh	2	0	2
Picked	3	2	5
Done	0	1	1
Total	900	5	905

Accuracy

100.0%

Counts

905 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(/.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)))
✓	99.5%	(.f64 (pow.f64 (.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
▶	99.5%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
✓	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	53.5%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))

Compiler

Compiled 36 to 27 computations (25% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

8×	`-lowering-.f32`
8×	`-lowering-.f64`
4×	`*-commutative`
4×	`sqrt-lowering-sqrt.f64`
4×	`sqrt-lowering-sqrt.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	11	28
0	11	28

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize49.0ms (0.9%)

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))
✓	accuracy	99.3%	(/.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)))
✓	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))

Results

36.0ms

256×

valid

Compiler

Compiled 30 to 10 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 4.0ms (25.9% of total)

ival-sqrt: 4.0ms (25.9% of total)

ival-pow: 4.0ms (25.9% of total)

ival-div: 3.0ms (19.5% of total)

const: 1.0ms (6.5% of total)

backward-pass: 0.0ms (0% of total)

series12.0ms (0.2%)

Counts

6 → 60

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
10.0ms	x	@	0	(/ x (pow 1/4 1/4))
0.0ms	x	@	-inf	(/ x (pow 1/4 1/4))
0.0ms	x	@	-inf	(sqrt (* 2 x))
0.0ms	x	@	0	(sqrt (* 2 x))
0.0ms	x	@	inf	(/ x (pow 1/4 1/4))

rewrite273.0ms (5.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2292×	`-lowering-.f32`
2292×	`-lowering-.f64`
1250×	`+-lowering-+.f64`
1250×	`+-lowering-+.f32`
1150×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	24
1	33	24
2	121	20
3	515	20
4	3873	20
0	8528	20

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 526

Calls

Call 1

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

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
(+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
(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 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
(exp.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) (log.f64 x)))
(exp.f64 (log.f64 (/.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 x) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/8 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) x) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (*.f64 x x))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 4 binary64)))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 #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)))
(-.f64 #s(literal 0 binary64) (/.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64) (/.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
(neg.f64 (/.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
(/.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)) (/.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64)))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) x))
(/.f64 (/.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(/.f64 (/.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal -1/8 binary64))) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64)))
(/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal -1/8 binary64)) (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64)) x))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) x))
(/.f64 (/.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64))) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)))
(/.f64 (/.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64))))
(/.f64 (/.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64))) (*.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64))))
(/.f64 (/.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64))) (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64)))
(/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal -1/16 binary64)) (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64)) x))
(/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal -3/16 binary64)) (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)) x))
(/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal -3/16 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) x)) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) x))) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) x))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64)) x)) (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/8 binary64)))) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64)) x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64))) (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (/.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64))))) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64))) (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal -1/8 binary64))))) (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (.f64 (*.f64 x x) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) #s(literal -1 binary64)) (.f64 (*.f64 x x) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (pow.f64 #s(literal 1/4 binary64) #s(literal -3/16 binary64))) (.f64 (*.f64 x x) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 1 binary64)) (*.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal -1 binary64)) (*.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (pow.f64 #s(literal 1/4 binary64) #s(literal -3/16 binary64))) (*.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64))))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)))) (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64)))
(/.f64 (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64)) x))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/8 binary64))) (.f64 (*.f64 x x) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/8 binary64))) (*.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 x x)))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x))) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) x))
(/.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 x x)))
(/.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x))) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) x))
(/.f64 (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal -1/8 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64)) (*.f64 x x)))
(/.f64 (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal -1/8 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x x))) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64)) x))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/16 binary64))) (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64)))
(/.f64 (*.f64 (/.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64))) #s(literal 1 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64)))
(/.f64 (*.f64 (/.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64))) #s(literal -1 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64)))
(/.f64 (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal -1/16 binary64)) x) (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64)))
(/.f64 (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal -1/16 binary64)) (-.f64 #s(literal 0 binary64) x)) (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64)))
(/.f64 (neg.f64 (/.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64)))) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)))
(/.f64 (neg.f64 (/.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64))))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64))) (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64))) (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64)) x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) x) #s(literal -3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64))) (/.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (pow.f64 #s(literal 1/4 binary64) #s(literal -3/16 binary64))) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64)))) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64)))) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (.f64 x x))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x x))) x)
(/.f64 (.f64 (.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal -1/8 binary64))) #s(literal -1 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64)))
(/.f64 (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal -1/8 binary64)) (/.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)))) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (sqrt.f64 #s(literal 2 binary64))) x)
(/.f64 (*.f64 (/.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64))) #s(literal 1 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)))
(/.f64 (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal -3/16 binary64)) x) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)))
(/.f64 (*.f64 (/.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64))) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/8 binary64))) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)))
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(fma.f64 (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/16 binary64))) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)) #s(literal 0 binary64))
(neg.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)))
(/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal 3/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/8 binary64)))
(/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 3/4 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)))
(pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 1/16 binary64) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal -1/8 binary64)) #s(literal -2 binary64))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 (log.f64 #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal -1 binary64)))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (.f64 (log.f64 #s(literal 1/4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/32 binary64)) #s(literal 8 binary64))
(pow.f64 #s(literal 1/256 binary64) #s(literal 1/16 binary64))
(pow.f64 (exp.f64 #s(literal 1/8 binary64)) (*.f64 (log.f64 #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 4 binary64))))
(pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (log.f64 #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(literal 4 binary64))) #s(literal -1/4 binary64))
(pow.f64 (exp.f64 (log.f64 #s(literal 1/16 binary64))) #s(literal 1/8 binary64))
(pow.f64 (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal 3/4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (/.f64 (log.f64 #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64)))
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)) (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/8 binary64))))
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)) (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)) (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)) (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)) (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 3/4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/32 binary64)) (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/32 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64))) (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64)))
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)))
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64))))
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64)) (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64)) (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64)) (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64)) (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/8 binary64))))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (/.f64 (log.f64 #s(literal 1/4 binary64)) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (/.f64 (log.f64 #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64))) (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64))) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 3/16 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/32 binary64))) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/32 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal -3/16 binary64))) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)))
(*.f64 (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64)) (pow.f64 #s(literal 1/4 binary64) #s(literal -1/16 binary64))) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/16 binary64)))

simplify261.0ms (5%)

Algorithm

1×	egg-herbie

Rules

3612×	`fnmadd-define`
2834×	`sum3-define`
1256×	`-lowering-.f32`
1256×	`-lowering-.f64`
1168×	`fnmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	260
1	47	260
2	122	260
3	246	260
4	484	260
5	915	260
6	2056	260
7	2774	260
8	3192	260
9	3374	260
10	3596	260
11	4247	260
12	4798	260
13	4828	260
14	4921	260
15	4949	260
16	4961	260
17	5001	260
18	5001	260
19	5015	260
20	5167	260
21	6581	260
0	8457	260

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

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)))
(* (pow 4 1/4) x)
(* (pow 4 1/4) x)
(* (pow 4 1/4) x)
(* (pow 4 1/4) x)
(* (pow 4 1/4) x)
(* (pow 4 1/4) x)
(* (pow 4 1/4) x)
(* (pow 4 1/4) x)
(* (pow 4 1/4) x)
(* (pow 4 1/4) x)
(* (pow 4 1/4) x)
(* (pow 4 1/4) 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) (sqrt -1))))
(-.f64 #s(literal 0 binary64) (.f64 x (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(-.f64 #s(literal 0 binary64) (.f64 x (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(-.f64 #s(literal 0 binary64) (.f64 x (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(-.f64 #s(literal 0 binary64) (.f64 x (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(.f64 (sqrt.f64 #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(.f64 (sqrt.f64 #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(.f64 (sqrt.f64 #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(.f64 (sqrt.f64 #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (.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)
(* (pow 4 1/4) x)
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))
(* (pow 4 1/4) x)
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))
(* (pow 4 1/4) x)
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))
(* (pow 4 1/4) x)
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))
(* (pow 4 1/4) x)
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))
(* (pow 4 1/4) x)
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))
(* (pow 4 1/4) x)
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))
(* (pow 4 1/4) x)
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))
(* (pow 4 1/4) x)
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))
(* (pow 4 1/4) x)
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))
(* (pow 4 1/4) x)
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))
(* (pow 4 1/4) x)
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))

eval66.0ms (1.3%)

Compiler: Compiled 6360 to 847 computations (86.7% saved)

prune42.0ms (0.8%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	584	2	586
Fresh	0	0	0
Picked	0	2	2
Done	1	2	3
Total	585	6	591

Accuracy

100.0%

Counts

591 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))
✓	99.3%	(/.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)))
▶	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) x))
✓	99.5%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
✓	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	53.5%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))

Compiler

Compiled 41 to 31 computations (24.4% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

44×	`-lowering-.f32`
44×	`-lowering-.f64`
32×	`/-lowering-/.f32`
32×	`/-lowering-/.f64`
10×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	18	28
2	25	27
3	36	27
4	53	27
5	57	27
6	66	27
7	69	27
8	70	27
0	70	27

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize52.0ms (1%)

Localize:

Found 6 expressions of interest:

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

Results

38.0ms

256×

valid

Compiler

Compiled 34 to 11 computations (67.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-div: 7.0ms (49.6% of total)

ival-pow: 4.0ms (28.4% of total)

ival-sqrt: 2.0ms (14.2% of total)

const: 1.0ms (7.1% of total)

backward-pass: 0.0ms (0% of total)

series18.0ms (0.3%)

Counts

6 → 48

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
12.0ms	x	@	0	(/ (pow 1/4 1/4) x)
4.0ms	x	@	inf	(/ (pow 1/4 1/4) x)
0.0ms	x	@	-inf	(/ (pow 1/4 1/4) x)
0.0ms	x	@	-inf	(/ 1 x)
0.0ms	x	@	0	(/ 1 (/ (pow 1/4 1/4) x))

rewrite224.0ms (4.3%)

Algorithm

1×	batch-egg-rewrite

Rules

3122×	`-lowering-.f32`
3122×	`-lowering-.f64`
1882×	`/-lowering-/.f32`
1882×	`/-lowering-/.f64`
1216×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	53	22
2	237	22
3	1252	18
4	7532	18
0	8260	18

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 710

Calls

Call 1

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

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

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

24×	`-lowering-.f32`
24×	`-lowering-.f64`
8×	`*-commutative`
4×	`pow-lowering-pow.f64`
4×	`pow-lowering-pow.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	204
1	20	192
2	23	192
3	30	192
4	30	192
0	30	192

Stop Event

1×	iter limit
1×	saturated

Counts

48 → 48

Calls

Call 1

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

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

eval91.0ms (1.7%)

Compiler: Compiled 9689 to 1505 computations (84.5% saved)

prune66.0ms (1.3%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	758	0	758
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	758	6	764

Accuracy

100.0%

Counts

764 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.3%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))
✓	99.3%	(/.f64 x (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)))
✓	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) x))
✓	99.5%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
✓	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	53.5%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x)))

Compiler

Compiled 138 to 73 computations (47.1% saved)

regimes17.0ms (0.3%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes10.0ms (0.2%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes7.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
99.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	22
1	20	22

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

soundness1.3s (24.7%)

Rules

3406×	`-lowering-.f32`
3406×	`-lowering-.f64`
2962×	`+-lowering-+.f64`
2962×	`+-lowering-+.f32`
2582×	`fnmadd-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	24
1	33	24
2	121	20
3	515	20
4	3873	20
0	8528	20
0	22	74
1	68	69
2	205	59
3	842	59
4	5273	59
0	8663	59
0	5	11
1	15	11
2	44	10
3	125	10
4	590	10
5	4124	10
0	8112	10
0	71	864
1	172	860
2	472	836
3	1008	812
4	1379	808
5	2165	808
6	4271	808
7	6905	808
0	8099	808

Stop Event

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

Compiler

Compiled 70 to 50 computations (28.6% saved)

preprocess35.0ms (0.7%)

Compiler: Compiled 92 to 62 computations (32.6% saved)

Iter	Nodes	Cost
0	8	148
1	15	124
2	33	124
3	38	124
4	42	124
5	64	124
6	96	124
7	108	124
8	139	124
9	232	124
10	235	124
0	235	124

Iter	Nodes	Cost
0	8	148
1	15	124
2	33	124
3	38	124
4	42	124
5	64	124
6	96	124
7	108	124
8	139	124
9	232	124
10	235	124
0	235	124

analyze0.0ms (0%)

sample773.0ms (14.8%)

preprocess21.0ms (0.4%)

explain93.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize27.0ms (0.5%)

series3.0ms (0.1%)

rewrite342.0ms (6.5%)

simplify12.0ms (0.2%)

eval32.0ms (0.6%)

prune42.0ms (0.8%)

simplify7.0ms (0.1%)

localize157.0ms (3%)

series445.0ms (8.5%)

rewrite317.0ms (6.1%)

simplify214.0ms (4.1%)

eval117.0ms (2.2%)

prune75.0ms (1.4%)

simplify4.0ms (0.1%)

localize49.0ms (0.9%)

series12.0ms (0.2%)

rewrite273.0ms (5.2%)

simplify261.0ms (5%)

eval66.0ms (1.3%)

prune42.0ms (0.8%)

simplify8.0ms (0.1%)

localize52.0ms (1%)

series18.0ms (0.3%)

rewrite224.0ms (4.3%)

simplify11.0ms (0.2%)

eval91.0ms (1.7%)

prune66.0ms (1.3%)

regimes17.0ms (0.3%)

regimes10.0ms (0.2%)

regimes7.0ms (0.1%)

regimes1.0ms (0%)

simplify7.0ms (0.1%)

soundness1.3s (24.7%)

preprocess35.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	148
1	15	124
2	33	124
3	38	124
4	42	124
5	64	124
6	96	124
7	108	124
8	139	124
9	232	124
10	235	124
0	235	124