Metrics for 2sqrt (example 3.1)

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25%	75%	0%	0%	0%	0
100%	25%	0%	75%	0%	0%	0%	1

Compiler

Compiled 15 to 11 computations (26.7% saved)

Precisions

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

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

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

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

const: 0.0ms (0% of total)

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

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

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

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

sample1.6s (27.8%)

Results

599.0ms	4860×	1	valid
594.0ms	3106×	2	valid
22.0ms	290×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 853.0ms

ival-sqrt: 302.0ms (35.4% of total)

ival-add: 195.0ms (22.9% of total)

backward-pass: 142.0ms (16.6% of total)

ival-sub: 103.0ms (12.1% of total)

ival->: 50.0ms (5.9% of total)

ival-<: 29.0ms (3.4% of total)

const: 23.0ms (2.7% of total)

ival-and: 10.0ms (1.2% of total)

Bogosity

preprocess57.0ms (1%)

Algorithm

1×	egg-herbie

Rules

84×	`fma-define`
66×	`fma-neg`
32×	`sub-neg`
22×	`unsub-neg`
20×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	128
1	33	120
2	61	116
3	107	116
4	173	116
5	266	116
6	344	116
7	402	116
8	453	116
9	488	116
10	514	116
11	516	116

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 x)))
(neg.f64 (-.f64 (sqrt.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 x))))

Outputs
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 x)))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (neg.f64 x))) (sqrt.f64 (neg.f64 x)))
(-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (neg.f64 x)))
(neg.f64 (-.f64 (sqrt.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 x))))
(neg.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (neg.f64 x))) (sqrt.f64 (neg.f64 x))))
(neg.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (neg.f64 x))))
(-.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))

explain153.0ms (2.7%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
255	-	-	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
0	-	-	`x`
0	-	-	`(sqrt.f64 (+.f64 x #s(literal 1 binary64)))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(sqrt.f64 x)`
0	-	-	`(+.f64 x #s(literal 1 binary64))`

Results

51.0ms	292×	1	valid
63.0ms	204×	2	valid
1.0ms	16×	0	valid

Compiler

Compiled 48 to 32 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-sqrt: 29.0ms (39.1% of total)

ival-add: 23.0ms (31% of total)

backward-pass: 14.0ms (18.9% of total)

ival-sub: 6.0ms (8.1% of total)

const: 2.0ms (2.7% of total)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune3.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.2%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Compiler

Compiled 8 to 6 computations (25% saved)

localize67.0ms (1.2%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	6.2%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Results

28.0ms	146×	1	valid
26.0ms	102×	2	valid
1.0ms	8×	0	valid

Compiler

Compiled 20 to 13 computations (35% saved)

Precisions

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

ival-sqrt: 14.0ms (40% of total)

ival-add: 9.0ms (25.7% of total)

backward-pass: 8.0ms (22.9% of total)

ival-sub: 3.0ms (8.6% of total)

const: 1.0ms (2.9% of total)

series6.0ms (0.1%)

Counts

1 → 12

Calls

Call 1

Inputs
#<alt (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))>

Outputs
#<alt (-.f64 #s(literal 1 binary64) (sqrt.f64 x))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x)))) (sqrt.f64 x))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))) (sqrt.f64 x))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)>
#<alt (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal -5/128 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x))>

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(- (sqrt (+ x 1)) (sqrt x))
1.0ms	x	@	inf	(- (sqrt (+ x 1)) (sqrt x))
0.0ms	x	@	0	(- (sqrt (+ x 1)) (sqrt x))

rewrite210.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

832×	`prod-diff`
614×	`log1p-expm1-u`
614×	`expm1-log1p-u`
525×	`unpow-prod-down`
411×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	132	27
2	1756	27

Stop Event

1×	node limit

Counts

1 → 122

Calls

Call 1

Inputs
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Outputs
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 x)))
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 x) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (fma.f64 #s(literal -1 binary64) (sqrt.f64 x) (sqrt.f64 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64)) (sqrt.f64 x)))
(+.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))
(+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64) (neg.f64 (.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (neg.f64 (.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (neg.f64 (.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))))
(*.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))
(*.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))
(.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)))))))
(.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x)))))) #s(literal 1 binary64)))
(*.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))
(*.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) #s(literal 1 binary64)))
(*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))
(*.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1 binary64)) (pow.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))
(.f64 (pow.f64 (.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 2 binary64)) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (+.f64 x (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))))))
(/.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))))))
(/.f64 (neg.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))
(/.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3/2 binary64)))) (+.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 x))))))
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 x))))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (sqrt.f64 x)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (exp.f64 (sqrt.f64 x)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (exp.f64 (neg.f64 (sqrt.f64 x)))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (sqrt.f64 x))) (exp.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (sqrt.f64 x))) (exp.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))
(log.f64 (/.f64 (exp.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 x)))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (exp.f64 (sqrt.f64 x))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 x)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64) (neg.f64 (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
(fma.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 1 binary64) (fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64) (sqrt.f64 x)))
(fma.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 1 binary64) (fma.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 1 binary64) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 x)))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64) (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) #s(literal 2 binary64)) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64) (sqrt.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (fma.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (neg.f64 (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 x) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 x)))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(fma.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (fma.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))))) (fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64) (sqrt.f64 x)))
(fma.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))))) (fma.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))))) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64) (sqrt.f64 x)))
(fma.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (fma.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 x))) (cbrt.f64 (neg.f64 (sqrt.f64 x)))) (cbrt.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(fma.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64) (sqrt.f64 x)))
(fma.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (fma.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))

simplify158.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

419×	`unsub-neg`
401×	`times-frac`
398×	`sub-neg`
294×	`associate-+l+`
282×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	352	6807
1	752	6303
2	1990	5531
3	6008	5313

Stop Event

1×	node limit

Counts

134 → 214

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) (sqrt.f64 x))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x)))) (sqrt.f64 x))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))) (sqrt.f64 x))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
(/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)
(/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal -5/128 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x))
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(fma.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 1 binary64) (fma.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 1 binary64) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 x)))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64) (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) #s(literal 2 binary64)) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64) (sqrt.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (fma.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (neg.f64 (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/6 binary64)) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 x) (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 x)))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(fma.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (fma.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))))) (fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64) (sqrt.f64 x)))
(fma.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))))) (fma.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))))) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64) (sqrt.f64 x)))
(fma.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (fma.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 x))) (cbrt.f64 (neg.f64 (sqrt.f64 x)))) (cbrt.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(fma.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64) (sqrt.f64 x)))
(fma.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (fma.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))

Outputs
(-.f64 #s(literal 1 binary64) (sqrt.f64 x))
(+.f64 #s(literal 1 binary64) (sqrt.f64 x))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x)))
(-.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 x))
(+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (sqrt.f64 x)))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x)))) (sqrt.f64 x))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))) (sqrt.f64 x))
(-.f64 (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 x))
(+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x)))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))) (sqrt.f64 x))
(+.f64 #s(literal 1 binary64) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64))))) (sqrt.f64 x)))
(-.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 x))
(+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x)
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
(/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))) x)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))) x)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)
(/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))))) x)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))) x)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x)
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
(neg.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))) x))
(/.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))) (neg.f64 x))
(/.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (neg.f64 x))
(/.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal -5/128 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x))
(neg.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal -5/128 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))) (fma.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64))))) x))
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(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (cbrt.f64 x)))
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(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(fma.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))))) (fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64) (sqrt.f64 x)))
(.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))))))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 x (+.f64 x (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (hypot.f64 x (sqrt.f64 x)) (*.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))))) (fma.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))))) (fma.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 x) (sqrt.f64 x)))
(+.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 x) (sqrt.f64 x)) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 x (+.f64 x (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))))))
(+.f64 (sqrt.f64 x) (-.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (hypot.f64 x (sqrt.f64 x)) (.f64 x #s(literal 2 binary64))))) (.f64 (pow.f64 x #s(literal 1/6 binary64)) (cbrt.f64 x))))
(+.f64 (sqrt.f64 x) (-.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (hypot.f64 x (sqrt.f64 x)))) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (cbrt.f64 x))))
(fma.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))))) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (.f64 x (+.f64 #s(literal 1 binary64) x))))))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 x (+.f64 x (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (hypot.f64 x (sqrt.f64 x)) (*.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(fma.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (fma.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (fma.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 x) (sqrt.f64 x)))
(+.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 x) (sqrt.f64 x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(+.f64 (sqrt.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (cbrt.f64 x))))
(-.f64 (-.f64 (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (cbrt.f64 x))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(fma.f64 (+.f64 x (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(fma.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 x #s(literal 1/6 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 x) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (cbrt.f64 x)))
(fma.f64 #s(literal -1 binary64) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 x))) (cbrt.f64 (neg.f64 (sqrt.f64 x)))) (cbrt.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 x)))
(-.f64 (*.f64 (fabs.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x))
(fma.f64 (fabs.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 x)))
(fma.f64 (fabs.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 x)))
(-.f64 (*.f64 (fabs.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x))
(fma.f64 (fabs.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 x)))
(fma.f64 (fabs.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))
(fma.f64 (sqrt.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(fma.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))))
(fma.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (fma.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (fma.f64 (neg.f64 (pow.f64 x #s(literal 1/6 binary64))) (cbrt.f64 x) (sqrt.f64 x)))
(fma.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (-.f64 (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 1/6 binary64)) (cbrt.f64 x))))
(fma.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))))

eval68.0ms (1.2%)

Compiler: Compiled 4180 to 2774 computations (33.6% saved)

prune28.0ms (0.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	210	4	214
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	210	5	215

Accuracy

100.0%

Counts

215 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
▶	99.6%	(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
✓	6.2%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
▶	5.2%	(+.f64 #s(literal 1 binary64) (sqrt.f64 x))
▶	98.6%	(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))

Compiler

Compiled 44 to 35 computations (20.5% saved)

localize180.0ms (3.1%)

Localize:

Found 7 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
✓	99.8%	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	99.5%	(/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
✓	100.0%	(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
✓	99.6%	(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
✓	100.0%	(+.f64 #s(literal 1 binary64) (sqrt.f64 x))
✓	99.8%	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))

Results

142.0ms

256×

valid

Compiler

Compiled 100 to 66 computations (34% saved)

Precisions

Click to see histograms. Total time spent on operations: 114.0ms

ival-sqrt: 65.0ms (56.9% of total)

ival-div: 19.0ms (16.6% of total)

ival-add: 14.0ms (12.3% of total)

ival-mult: 12.0ms (10.5% of total)

const: 3.0ms (2.6% of total)

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

series21.0ms (0.4%)

Counts

7 → 64

Calls

Call 1

Inputs
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (sqrt.f64 x))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))>
#<alt (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))>

Outputs
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (sqrt.f64 x)>
#<alt (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x))))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))>
#<alt (+.f64 (.f64 x (-.f64 (.f64 x (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))>
#<alt (+.f64 (.f64 x (-.f64 (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))) (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)>
#<alt (/.f64 (-.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)>
#<alt (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/128 binary64) (sqrt.f64 (pow.f64 x #s(literal 7 binary64)))) (.f64 #s(literal 1/32 binary64) (sqrt.f64 (pow.f64 x #s(literal 7 binary64))))) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (+.f64 (.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)>
#<alt (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/128 binary64) (.f64 (sqrt.f64 (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))))) (.f64 #s(literal 1/32 binary64) (.f64 (sqrt.f64 (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))))) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) x))>
#<alt (+.f64 #s(literal 1 binary64) (sqrt.f64 x))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 x))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))>
#<alt (.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) x)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) x)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) x)>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>

Calls

21 calls:

Time	Variable		Point	Expression
7.0ms	x	@	inf	(/ 1 (+ (sqrt (+ 1 x)) (sqrt x)))
1.0ms	x	@	-inf	(/ 1 (+ (sqrt (+ 1 x)) (sqrt x)))
1.0ms	x	@	0	(/ 1 (+ (sqrt (+ 1 x)) (sqrt x)))
1.0ms	x	@	-inf	(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)
1.0ms	x	@	0	(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)

rewrite185.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1043×	`log1p-expm1-u`
954×	`expm1-log1p-u`
139×	`add-exp-log`
139×	`add-log-exp`
138×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	181
1	326	161
2	4615	161

Stop Event

1×	node limit

Counts

7 → 238

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))

Outputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 x)))
(pow.f64 x #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))
(fabs.f64 (pow.f64 x #s(literal -1/2 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal -1/2 binary64)))))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (hypot.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x))))
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(pow.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 x (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) #s(literal -1 binary64))
(neg.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)))
(exp.f64 (log.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 x)))
(pow.f64 x #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))
(fabs.f64 (pow.f64 x #s(literal -1/2 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal -1/2 binary64)))))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)) (-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (sqrt.f64 (.f64 x #s(literal 1/4 binary64))))) (/.f64 (.f64 x #s(literal 1/4 binary64)) (-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (sqrt.f64 (.f64 x #s(literal 1/4 binary64))))))
(*.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))
(*.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (sqrt.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))
(.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)) (.f64 x #s(literal 1/4 binary64))) (.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (sqrt.f64 (.f64 x #s(literal 1/4 binary64)))))))
(.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)) (.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (sqrt.f64 (.f64 x #s(literal 1/4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)) (.f64 x #s(literal 1/4 binary64))) (.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (sqrt.f64 (.f64 x #s(literal 1/4 binary64))))) (+.f64 (pow.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (sqrt.f64 (.f64 x #s(literal 1/4 binary64)))) (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)) (*.f64 x #s(literal 1/4 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/8 binary64))) (-.f64 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)) (.f64 x #s(literal 1/4 binary64))) (.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/8 binary64))) (+.f64 (.f64 x #s(literal 1/4 binary64)) (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)) (.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)) (.f64 x #s(literal 1/4 binary64))) (-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (-.f64 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)) (.f64 x #s(literal 1/4 binary64))) (.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)) (.f64 x #s(literal 1/4 binary64)))) (neg.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64))))))
(/.f64 (-.f64 (.f64 x #s(literal 1/4 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64))) (-.f64 (sqrt.f64 (*.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))
(pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))))
(cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))
(log1p.f64 (expm1.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))
(exp.f64 (log.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/8 binary64) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64))))
(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64))))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64))) (cbrt.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (sqrt.f64 (.f64 x #s(literal 1/4 binary64))))
(fma.f64 (cbrt.f64 (.f64 x #s(literal 1/4 binary64))) (cbrt.f64 (sqrt.f64 (.f64 x #s(literal 1/4 binary64)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (sqrt.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64))))
(fma.f64 (sqrt.f64 (sqrt.f64 (.f64 x #s(literal 1/4 binary64)))) (sqrt.f64 (sqrt.f64 (.f64 x #s(literal 1/4 binary64)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))

simplify246.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

281×	`distribute-lft-neg-in`
269×	`cancel-sign-sub-inv`
235×	`distribute-rgt-neg-in`
226×	`associate-r`
218×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	604	11712
1	1426	10936
2	4662	10416

Stop Event

1×	node limit

Counts

302 → 351

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 x)
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(+.f64 (.f64 x (-.f64 (.f64 x (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(+.f64 (.f64 x (-.f64 (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))) (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
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(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 x)))
(pow.f64 x #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))
(fabs.f64 (pow.f64 x #s(literal -1/2 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal -1/2 binary64)))))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)) (-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (sqrt.f64 (.f64 x #s(literal 1/4 binary64))))) (/.f64 (.f64 x #s(literal 1/4 binary64)) (-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (sqrt.f64 (.f64 x #s(literal 1/4 binary64))))))
(*.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))
(*.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))
(*.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (sqrt.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))
(.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)) (.f64 x #s(literal 1/4 binary64))) (.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (sqrt.f64 (.f64 x #s(literal 1/4 binary64)))))))
(.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)) (.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (sqrt.f64 (.f64 x #s(literal 1/4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)) (.f64 x #s(literal 1/4 binary64))) (.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (sqrt.f64 (.f64 x #s(literal 1/4 binary64))))) (+.f64 (pow.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (sqrt.f64 (.f64 x #s(literal 1/4 binary64)))) (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)) (*.f64 x #s(literal 1/4 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/8 binary64))) (-.f64 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)) (.f64 x #s(literal 1/4 binary64))) (.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/8 binary64))) (+.f64 (.f64 x #s(literal 1/4 binary64)) (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)) (.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)) (.f64 x #s(literal 1/4 binary64))) (-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (-.f64 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)) (.f64 x #s(literal 1/4 binary64))) (.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)) (.f64 x #s(literal 1/4 binary64)))) (neg.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64))))))
(/.f64 (-.f64 (.f64 x #s(literal 1/4 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64))) (-.f64 (sqrt.f64 (*.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))
(pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))))
(cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))
(log1p.f64 (expm1.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))
(exp.f64 (log.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/8 binary64) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64))))
(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64))))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64))) (cbrt.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (sqrt.f64 (.f64 x #s(literal 1/4 binary64))))
(fma.f64 (cbrt.f64 (.f64 x #s(literal 1/4 binary64))) (cbrt.f64 (sqrt.f64 (.f64 x #s(literal 1/4 binary64)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (sqrt.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64))))
(fma.f64 (sqrt.f64 (sqrt.f64 (.f64 x #s(literal 1/4 binary64)))) (sqrt.f64 (sqrt.f64 (.f64 x #s(literal 1/4 binary64)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))

Outputs
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
(sqrt.f64 x)
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(fma.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(fma.f64 x (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(fma.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(fma.f64 x (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(fma.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(fma.f64 x (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(fma.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(fma.f64 x (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(fma.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(fma.f64 x (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(fma.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(fma.f64 x (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(+.f64 (.f64 x (-.f64 (.f64 x (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))) (neg.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)) (.f64 x #s(literal 1/4 binary64))) (.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (sqrt.f64 (.f64 x #s(literal 1/4 binary64))))) (+.f64 (pow.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/8 binary64)))))
(/.f64 (.f64 (+.f64 (/.f64 #s(literal -1/512 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3/2 binary64)))) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/4 binary64) (-.f64 (/.f64 #s(literal 1/64 binary64) x) (.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (sqrt.f64 (.f64 x #s(literal 1/4 binary64)))))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3/2 binary64)) (/.f64 #s(literal -1/512 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (-.f64 (fma.f64 x #s(literal 1/4 binary64) (/.f64 #s(literal 1/64 binary64) x)) (.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (sqrt.f64 (.f64 x #s(literal 1/4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (sqrt.f64 (.f64 x #s(literal 1/4 binary64)))) (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)) (*.f64 x #s(literal 1/4 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) x) (.f64 x #s(literal 1/4 binary64))) (-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (sqrt.f64 (.f64 x #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 x #s(literal 1/4 binary64) (/.f64 #s(literal -1/64 binary64) x)) (+.f64 (sqrt.f64 (*.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/8 binary64))) (-.f64 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)) (.f64 x #s(literal 1/4 binary64))) (.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64))))))
(/.f64 (.f64 (+.f64 (/.f64 #s(literal -1/512 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3/2 binary64)))) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/4 binary64) (-.f64 (/.f64 #s(literal 1/64 binary64) x) (.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (sqrt.f64 (.f64 x #s(literal 1/4 binary64)))))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3/2 binary64)) (/.f64 #s(literal -1/512 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (-.f64 (fma.f64 x #s(literal 1/4 binary64) (/.f64 #s(literal 1/64 binary64) x)) (.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (sqrt.f64 (.f64 x #s(literal 1/4 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/8 binary64))) (+.f64 (.f64 x #s(literal 1/4 binary64)) (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)) (.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64)))))))
(/.f64 (.f64 (+.f64 (/.f64 #s(literal -1/512 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3/2 binary64)))) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/4 binary64) (-.f64 (/.f64 #s(literal 1/64 binary64) x) (.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (sqrt.f64 (.f64 x #s(literal 1/4 binary64)))))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3/2 binary64)) (/.f64 #s(literal -1/512 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (-.f64 (fma.f64 x #s(literal 1/4 binary64) (/.f64 #s(literal 1/64 binary64) x)) (.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (sqrt.f64 (.f64 x #s(literal 1/4 binary64))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)) (.f64 x #s(literal 1/4 binary64))) (-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) x) (.f64 x #s(literal 1/4 binary64))) (-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (sqrt.f64 (.f64 x #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 x #s(literal 1/4 binary64) (/.f64 #s(literal -1/64 binary64) x)) (+.f64 (sqrt.f64 (*.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (-.f64 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)) (.f64 x #s(literal 1/4 binary64))) (.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64)))))))
(/.f64 (.f64 (+.f64 (/.f64 #s(literal -1/512 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3/2 binary64)))) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/4 binary64) (-.f64 (/.f64 #s(literal 1/64 binary64) x) (.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (sqrt.f64 (.f64 x #s(literal 1/4 binary64)))))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3/2 binary64)) (/.f64 #s(literal -1/512 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (-.f64 (fma.f64 x #s(literal 1/4 binary64) (/.f64 #s(literal 1/64 binary64) x)) (.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (sqrt.f64 (.f64 x #s(literal 1/4 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64)) (.f64 x #s(literal 1/4 binary64)))) (neg.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64))))))
(/.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) x) (.f64 x #s(literal 1/4 binary64))) (-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (sqrt.f64 (.f64 x #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 x #s(literal 1/4 binary64) (/.f64 #s(literal -1/64 binary64) x)) (+.f64 (sqrt.f64 (*.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))))
(/.f64 (-.f64 (.f64 x #s(literal 1/4 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64))) (-.f64 (sqrt.f64 (*.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))
(/.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) x) (.f64 x #s(literal 1/4 binary64))) (-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (sqrt.f64 (.f64 x #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 x #s(literal 1/4 binary64) (/.f64 #s(literal -1/64 binary64) x)) (+.f64 (sqrt.f64 (*.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))))
(pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) #s(literal 3 binary64))
(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(pow.f64 (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(log.f64 (exp.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))
(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))))
(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) #s(literal 3 binary64)))
(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))
(log1p.f64 (expm1.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))
(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(exp.f64 (log.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))
(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64))))
(+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64))))
(+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64))))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/8 binary64) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64))))
(fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64))))
(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64))))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/8 binary64) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64))))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/64 binary64))) (cbrt.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (sqrt.f64 (.f64 x #s(literal 1/4 binary64))))
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1/64 binary64) x)) (cbrt.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64))))
(fma.f64 (cbrt.f64 (.f64 x #s(literal 1/4 binary64))) (cbrt.f64 (sqrt.f64 (.f64 x #s(literal 1/4 binary64)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (sqrt.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64))))
(+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64))))
(fma.f64 (sqrt.f64 (sqrt.f64 (.f64 x #s(literal 1/4 binary64)))) (sqrt.f64 (sqrt.f64 (.f64 x #s(literal 1/4 binary64)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64))))
(+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64))))

eval110.0ms (1.9%)

Compiler: Compiled 6434 to 4684 computations (27.2% saved)

prune62.0ms (1.1%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	382	7	389
Fresh	0	0	0
Picked	2	2	4
Done	0	1	1
Total	384	10	394

Accuracy

100.0%

Counts

394 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64)))) x)
✓	99.6%	(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
▶	98.3%	(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
✓	6.2%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
▶	98.8%	(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
✓	98.6%	(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
	91.2%	(.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64))))
▶	65.6%	(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))))
▶	5.2%	(sqrt.f64 x)
	92.3%	(exp.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))

Compiler

Compiled 139 to 114 computations (18% saved)

localize181.0ms (3.1%)

Localize:

Found 6 expressions with local error:

New	Accuracy	Program
✓	98.8%	(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))
✓	68.3%	(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))))
✓	99.6%	(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
✓	100.0%	(+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64))))
✓	99.6%	(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))
✓	99.5%	(/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64)))) x)

Results

141.0ms

256×

valid

Compiler

Compiled 93 to 62 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 107.0ms

ival-pow: 50.0ms (46.6% of total)

ival-div: 23.0ms (21.4% of total)

ival-mult: 14.0ms (13% of total)

ival-sqrt: 10.0ms (9.3% of total)

const: 4.0ms (3.7% of total)

ival-cbrt: 4.0ms (3.7% of total)

ival-add: 2.0ms (1.9% of total)

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

series20.0ms (0.3%)

Counts

6 → 72

Calls

Call 1

Inputs
#<alt (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64)))) x)>
#<alt (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))>
#<alt (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))>
#<alt (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))>

Outputs
#<alt (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) x)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) x)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) x)>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))>

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(/ (+ (/ -1/8 (sqrt x)) (sqrt (* x 1/4))) x)
2.0ms	x	@	-inf	(cbrt (/ 1 (pow x 3/2)))
1.0ms	x	@	0	(/ 1 (pow x 3/2))
0.0ms	x	@	-inf	(/ -1/8 (sqrt x))
0.0ms	x	@	-inf	(/ 1 (* 2 (sqrt x)))

rewrite147.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

830×	`log1p-expm1-u`
830×	`expm1-log1p-u`
366×	`fma-define`
216×	`expm1-undefine`
216×	`log1p-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	127
1	298	115
2	3930	115

Stop Event

1×	node limit

Counts

6 → 197

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) x))) #s(literal 1 binary64))
(*.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) x))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) (sqrt.f64 x)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) x)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))) x))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) x)) (sqrt.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) x)))
(*.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))) (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))) x))
(.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))) (.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (neg.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) x)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))) x))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))) (cbrt.f64 x)))
(pow.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 x (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))) #s(literal -1 binary64))
(neg.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))) x))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) x))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) x) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) x)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) x)))
(exp.f64 (log.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))) #s(literal 1 binary64))
(*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/8 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1/64 binary64) x)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/64 binary64) x)) (cbrt.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))))
(*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal -3/2 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) #s(literal -8 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))
(sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))))
(cbrt.f64 (*.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal -3/2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))))) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 #s(literal 1/64 binary64) x) (-.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))) (/.f64 (.f64 x #s(literal 1/4 binary64)) (-.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))))
(*.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))))
(*.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))) (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))))
(*.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))) (sqrt.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/8 binary64) (.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal -3/2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))) (/.f64 #s(literal 1/64 binary64) x))))
(.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) x) (.f64 #s(literal -1/4 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))) (/.f64 #s(literal 1/64 binary64) x)) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/8 binary64) (.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal -3/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) (+.f64 (/.f64 #s(literal 1/64 binary64) x) (.f64 #s(literal -1/4 binary64) x))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/8 binary64) (.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal -3/2 binary64)))) (fma.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))) (/.f64 #s(literal 1/64 binary64) x)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/8 binary64) (.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal -3/2 binary64)))) (fma.f64 x #s(literal 1/4 binary64) (-.f64 (/.f64 #s(literal 1/64 binary64) x) (.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) x) (.f64 #s(literal -1/4 binary64) x)) (-.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/8 binary64) (.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal -3/2 binary64))))) (neg.f64 (fma.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))) (/.f64 #s(literal 1/64 binary64) x))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) x) (.f64 #s(literal -1/4 binary64) x))) (neg.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (*.f64 x #s(literal 1/4 binary64)) (/.f64 #s(literal 1/64 binary64) x)) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))))
(pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))))))
(cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))))
(log1p.f64 (expm1.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))))
(exp.f64 (log.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))
(fma.f64 (sqrt.f64 x) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)) #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))
(fma.f64 (cbrt.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) (cbrt.f64 (.f64 x #s(literal 1/4 binary64))) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))
(fma.f64 (cbrt.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1/64 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1/64 binary64) x)) (cbrt.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(fma.f64 (cbrt.f64 (.f64 x #s(literal 1/4 binary64))) (cbrt.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))
(fma.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))
(fma.f64 (pow.f64 (.f64 x #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 x #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))
(fma.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (.f64 x #s(literal 1/4 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))
(fma.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64)))) (sqrt.f64 (cbrt.f64 (.f64 x #s(literal 1/4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (cbrt.f64 (/.f64 #s(literal 1/4 binary64) x)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) x)) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) x))
(log.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(exp.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -3/4 binary64))) (cbrt.f64 (pow.f64 x #s(literal -3/4 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal -3/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal -3/4 binary64)) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 (cbrt.f64 (pow.f64 x #s(literal -3/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(pow.f64 x #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/3 binary64))
(pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (pow.f64 x #s(literal -3/4 binary64))) #s(literal 2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(log.f64 (exp.f64 (pow.f64 x #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal -1/2 binary64)))))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))))
(exp.f64 (.f64 (.f64 #s(literal -3/2 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal -3/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -3/4 binary64)) (pow.f64 x #s(literal -3/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -3/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -3/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -3/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 (pow.f64 x #s(literal -3/4 binary64)))) (cbrt.f64 (pow.f64 x #s(literal -3/4 binary64))))
(pow.f64 x #s(literal -3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal -3/4 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3/2 binary64))))
(sqrt.f64 (pow.f64 x #s(literal -3 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal -3/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal -3/2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -3/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal -3/2 binary64))))
(exp.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -3/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3/2 binary64) (log.f64 x)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal -3/2 binary64) (log.f64 x)) #s(literal 1 binary64)))

simplify200.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

502×	`fma-neg`
381×	`fma-define`
378×	`times-frac`
328×	`exp-prod`
286×	`associate-*r/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	434	4294976070
1	812	4294975953
2	2316	4294974794
3	6863	4294974612

Stop Event

1×	node limit

Counts

269 → 275

Calls

Call 1

Inputs
(*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 2 binary64)))
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(*.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))) (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))))
(*.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))) (sqrt.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/8 binary64) (.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal -3/2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))) (/.f64 #s(literal 1/64 binary64) x))))
(.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) x) (.f64 #s(literal -1/4 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))) (/.f64 #s(literal 1/64 binary64) x)) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/8 binary64) (.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal -3/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) (+.f64 (/.f64 #s(literal 1/64 binary64) x) (.f64 #s(literal -1/4 binary64) x))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/8 binary64) (.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal -3/2 binary64)))) (fma.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))) (/.f64 #s(literal 1/64 binary64) x)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/8 binary64) (.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal -3/2 binary64)))) (fma.f64 x #s(literal 1/4 binary64) (-.f64 (/.f64 #s(literal 1/64 binary64) x) (.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) x) (.f64 #s(literal -1/4 binary64) x)) (-.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/8 binary64) (.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal -3/2 binary64))))) (neg.f64 (fma.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))) (/.f64 #s(literal 1/64 binary64) x))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) x) (.f64 #s(literal -1/4 binary64) x))) (neg.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (*.f64 x #s(literal 1/4 binary64)) (/.f64 #s(literal 1/64 binary64) x)) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))))
(pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))))))
(cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))))
(log1p.f64 (expm1.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))))
(exp.f64 (log.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))
(fma.f64 (sqrt.f64 x) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)) #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))
(fma.f64 (cbrt.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) (cbrt.f64 (.f64 x #s(literal 1/4 binary64))) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))
(fma.f64 (cbrt.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1/64 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1/64 binary64) x)) (cbrt.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(fma.f64 (cbrt.f64 (.f64 x #s(literal 1/4 binary64))) (cbrt.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))
(fma.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))
(fma.f64 (pow.f64 (.f64 x #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 x #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))
(fma.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (.f64 x #s(literal 1/4 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))
(fma.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64)))) (sqrt.f64 (cbrt.f64 (.f64 x #s(literal 1/4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1/64 binary64) x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) #s(literal -2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (cbrt.f64 (/.f64 #s(literal 1/4 binary64) x)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) x)) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) x))
(log.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(exp.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -3/4 binary64))) (cbrt.f64 (pow.f64 x #s(literal -3/4 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal -3/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal -3/4 binary64)) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 (cbrt.f64 (pow.f64 x #s(literal -3/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(pow.f64 x #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/3 binary64))
(pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (pow.f64 x #s(literal -3/4 binary64))) #s(literal 2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(log.f64 (exp.f64 (pow.f64 x #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal -1/2 binary64)))))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))))
(exp.f64 (.f64 (.f64 #s(literal -3/2 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal -3/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -3/4 binary64)) (pow.f64 x #s(literal -3/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -3/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -3/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -3/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 (pow.f64 x #s(literal -3/4 binary64)))) (cbrt.f64 (pow.f64 x #s(literal -3/4 binary64))))
(pow.f64 x #s(literal -3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal -3/4 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3/2 binary64))))
(sqrt.f64 (pow.f64 x #s(literal -3 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal -3/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal -3/2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -3/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal -3/2 binary64))))
(exp.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -3/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3/2 binary64) (log.f64 x)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal -3/2 binary64) (log.f64 x)) #s(literal 1 binary64)))

Outputs
(*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 #s(literal -1/8 binary64) (fabs.f64 (pow.f64 x #s(literal -3/2 binary64))))
(/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 2 binary64)))
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(expm1.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -1/2 binary64))))
(+.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(*.f64 #s(literal 1 binary64) (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)) #s(literal 1 binary64))
(pow.f64 x #s(literal -1/2 binary64))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -3/4 binary64))) (cbrt.f64 (pow.f64 x #s(literal -3/4 binary64))))
(pow.f64 (cbrt.f64 (pow.f64 x #s(literal -3/4 binary64))) #s(literal 2 binary64))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 x #s(literal -1/2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -3/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 x #s(literal -3/4 binary64)) #s(literal 1/3 binary64)))
(pow.f64 (cbrt.f64 (pow.f64 x #s(literal -3/4 binary64))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(/.f64 (cbrt.f64 (pow.f64 x #s(literal -3/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x))))
(pow.f64 x #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/3 binary64))
(pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 x #s(literal -1/2 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal -1/2 binary64))
(pow.f64 (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 x #s(literal -1/2 binary64))
(pow.f64 (cbrt.f64 (pow.f64 x #s(literal -3/4 binary64))) #s(literal 2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(log.f64 (exp.f64 (pow.f64 x #s(literal -1/2 binary64))))
(pow.f64 x #s(literal -1/2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal -1/2 binary64)))))
(pow.f64 x #s(literal -1/2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -1/2 binary64))))
(+.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal -1/2 binary64))))
(pow.f64 x #s(literal -1/2 binary64))
(exp.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))))
(pow.f64 x #s(literal -1/2 binary64))
(exp.f64 (.f64 (.f64 #s(literal -3/2 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(pow.f64 x #s(literal -1/2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(pow.f64 x #s(literal -1/2 binary64))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal -3/2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -3/2 binary64))))
(pow.f64 x #s(literal -3/2 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3/2 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -3/2 binary64))))
(pow.f64 x #s(literal -3/2 binary64))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -3/2 binary64))))
(pow.f64 x #s(literal -3/2 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) x)
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -3/2 binary64))))
(pow.f64 x #s(literal -3/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) x)
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))
(*.f64 (pow.f64 x #s(literal -3/4 binary64)) (pow.f64 x #s(literal -3/4 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -3/2 binary64))))
(pow.f64 x #s(literal -3/2 binary64))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -3/2 binary64)))
(pow.f64 (sqrt.f64 x) #s(literal -3 binary64))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -3/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -3/2 binary64))))
(pow.f64 x #s(literal -3/2 binary64))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -3/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -2 binary64))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) x)
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))) (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))))
(.f64 (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) x))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 7 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 (pow.f64 x #s(literal -3/4 binary64)))) (cbrt.f64 (pow.f64 x #s(literal -3/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -3/4 binary64))) #s(literal 2 binary64)))
(/.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -3/4 binary64))) #s(literal 2 binary64)) x)
(pow.f64 x #s(literal -3/2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -3/2 binary64))))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -3/2 binary64))))
(pow.f64 x #s(literal -3/2 binary64))
(pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -3/2 binary64))))
(pow.f64 x #s(literal -3/2 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) x)
(pow.f64 (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -3/2 binary64))))
(pow.f64 x #s(literal -3/2 binary64))
(pow.f64 (pow.f64 x #s(literal -3/4 binary64)) #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -3/2 binary64))))
(pow.f64 x #s(literal -3/2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -3/2 binary64))))
(pow.f64 x #s(literal -3/2 binary64))
(sqrt.f64 (pow.f64 x #s(literal -3 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(fabs.f64 (pow.f64 x #s(literal -3/2 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal -3/2 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -3/2 binary64))))
(pow.f64 x #s(literal -3/2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal -3/2 binary64)))))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -3/2 binary64))))
(pow.f64 x #s(literal -3/2 binary64))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -3/2 binary64))))
(pow.f64 x #s(literal -3/2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -3/2 binary64))))
(pow.f64 x #s(literal -3/2 binary64))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal -3/2 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -3/2 binary64))))
(pow.f64 x #s(literal -3/2 binary64))
(exp.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 x)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -3/2 binary64))))
(pow.f64 x #s(literal -3/2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal -3/2 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -3/2 binary64))))
(pow.f64 x #s(literal -3/2 binary64))
(exp.f64 (.f64 (.f64 #s(literal 3/2 binary64) (log.f64 x)) #s(literal -1 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -3/2 binary64))))
(pow.f64 x #s(literal -3/2 binary64))
(exp.f64 (.f64 (.f64 #s(literal -3/2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -3/2 binary64))))
(pow.f64 x #s(literal -3/2 binary64))

eval60.0ms (1%)

Compiler: Compiled 3627 to 2668 computations (26.4% saved)

prune50.0ms (0.9%)

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	272	3	275
Fresh	0	2	2
Picked	2	3	5
Done	1	2	3
Total	275	10	285

Accuracy

100.0%

Counts

285 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.3%	(/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64)))) x)
✓	99.6%	(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
▶	98.3%	(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
✓	6.2%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
✓	98.8%	(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
▶	91.2%	(.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64))))
▶	67.1%	(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 x #s(literal -3/2 binary64))))
▶	98.6%	(sqrt.f64 (/.f64 #s(literal 1/4 binary64) x))
✓	5.2%	(sqrt.f64 x)
▶	92.3%	(exp.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))

Compiler

Compiled 113 to 92 computations (18.6% saved)

localize253.0ms (4.4%)

Localize:

Found 7 expressions with local error:

New	Accuracy	Program
✓	100.0%	(log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
✓	100.0%	(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
✓	92.3%	(exp.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
✓	92.3%	(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64)))
✓	68.3%	(cbrt.f64 (pow.f64 x #s(literal -3/2 binary64)))
✓	99.6%	(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
✓	99.8%	(sqrt.f64 (/.f64 #s(literal 1/4 binary64) x))

Results

210.0ms

256×

valid

Compiler

Compiled 106 to 65 computations (38.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 178.0ms

ival-log: 93.0ms (52.2% of total)

ival-pow: 25.0ms (14% of total)

ival-sqrt: 15.0ms (8.4% of total)

ival-add: 13.0ms (7.3% of total)

ival-mult: 9.0ms (5.1% of total)

ival-exp: 7.0ms (3.9% of total)

ival-div: 6.0ms (3.4% of total)

ival-cbrt: 4.0ms (2.2% of total)

ival-neg: 4.0ms (2.2% of total)

const: 3.0ms (1.7% of total)

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

series60.0ms (1%)

Counts

7 → 84

Calls

Call 1

Inputs
#<alt (sqrt.f64 (/.f64 #s(literal 1/4 binary64) x))>
#<alt (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))>
#<alt (cbrt.f64 (pow.f64 x #s(literal -3/2 binary64)))>
#<alt (exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64)))>
#<alt (exp.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))>
#<alt (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))>
#<alt (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))>

Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))>
#<alt (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))>
#<alt (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))>
#<alt (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (exp.f64 (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))))>
#<alt (+.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (exp.f64 (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))))>
#<alt (+.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (.f64 x (.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))))))))))>
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#<alt (+.f64 #s(literal 1 binary64) (sqrt.f64 x))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 x))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))>
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#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))>
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#<alt (+.f64 (log.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (log.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (-.f64 (+.f64 (log.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1/4 binary64) x))) (*.f64 #s(literal 3/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
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#<alt (-.f64 (+.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (-.f64 (+.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1/4 binary64) (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (/.f64 #s(literal 3/32 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))>
#<alt (-.f64 (+.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1/4 binary64) (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (+.f64 (.f64 #s(literal 3/32 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (.f64 #s(literal 5/96 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))))))>

Calls

21 calls:

Time	Variable		Point	Expression
39.0ms	x	@	inf	(exp (neg (log (+ (sqrt x) (sqrt (+ 1 x))))))
5.0ms	x	@	-inf	(exp (neg (log (+ (sqrt x) (sqrt (+ 1 x))))))
2.0ms	x	@	-inf	(cbrt (pow x -3/2))
2.0ms	x	@	0	(exp (neg (log (+ (sqrt x) (sqrt (+ 1 x))))))
1.0ms	x	@	-inf	(log (+ (sqrt x) (sqrt (+ 1 x))))

rewrite143.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1188×	`log1p-expm1-u`
788×	`expm1-log1p-u`
149×	`pow1`
148×	`add-exp-log`
145×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	153
1	385	129
2	4702	129

Stop Event

1×	node limit

Counts

7 → 264

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
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(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) #s(literal 1 binary64))
(-.f64 (/.f64 x (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(*.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(.f64 (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (.f64 x (+.f64 x #s(literal 1 binary64)))))))
(*.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (-.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (.f64 x (+.f64 x #s(literal 1 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (-.f64 x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) (-.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (neg.f64 (-.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (-.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))) (sqrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(fma.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 x))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(+.f64 #s(literal 0 binary64) (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (log.f64 (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))
(-.f64 #s(literal 0 binary64) (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))) #s(literal 1 binary64))
(-.f64 (log.f64 (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (log.f64 (-.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
(-.f64 (log.f64 (-.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(*.f64 #s(literal 1 binary64) (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(*.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
(*.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal -1 binary64))
(*.f64 (cbrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (sqrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (neg.f64 (sqrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))))
(*.f64 #s(literal -1 binary64) (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))
(*.f64 (neg.f64 (sqrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))) (sqrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))) (sqrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64))) (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(pow.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) #s(literal 2 binary64))
(neg.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))
(log1p.f64 (-.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) #s(literal 1 binary64)))

simplify180.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

865×	`times-frac`
562×	`distribute-rgt-in`
561×	`distribute-lft-in`
393×	`fma-neg`
256×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	530	12759
1	1206	11390
2	3910	11141

Stop Event

1×	node limit

Counts

348 → 308

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(exp.f64 (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (-.f64 x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) (-.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (neg.f64 (-.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (-.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))) (sqrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(fma.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 x))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(+.f64 #s(literal 0 binary64) (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (log.f64 (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))
(-.f64 #s(literal 0 binary64) (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))) #s(literal 1 binary64))
(-.f64 (log.f64 (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (log.f64 (-.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
(-.f64 (log.f64 (-.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(*.f64 #s(literal 1 binary64) (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(*.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
(*.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal -1 binary64))
(*.f64 (cbrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (sqrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (neg.f64 (sqrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))))
(*.f64 #s(literal -1 binary64) (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))
(*.f64 (neg.f64 (sqrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))) (sqrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))) (sqrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64))) (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(pow.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) #s(literal 2 binary64))
(neg.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))
(log1p.f64 (-.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) #s(literal 1 binary64)))

Outputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 #s(literal -1 binary64)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 #s(literal -1 binary64)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 #s(literal -1 binary64)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(exp.f64 (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(exp.f64 (neg.f64 (log1p.f64 (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(+.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (exp.f64 (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(+.f64 (exp.f64 (neg.f64 (log1p.f64 (sqrt.f64 x)))) (.f64 #s(literal -1/2 binary64) (.f64 x (/.f64 (exp.f64 (neg.f64 (log1p.f64 (sqrt.f64 x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(+.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (.f64 x (.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))))))))))
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(fma.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) (+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
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(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) #s(literal 1 binary64)) (-.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (.f64 x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (+.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x x)))))
(/.f64 (neg.f64 (-.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))
(/.f64 (-.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
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(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
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(/.f64 (-.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
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(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
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(/.f64 (-.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
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(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
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(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))
(fma.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 x))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 0 binary64) (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (log.f64 (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(-.f64 #s(literal 0 binary64) (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(neg.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(-.f64 (log.f64 (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (log.f64 (-.f64 (+.f64 x (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
(-.f64 (log.f64 (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (log.f64 (-.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(-.f64 (log.f64 (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (log.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x x))))))
(-.f64 (log.f64 (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (log1p.f64 (+.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x x))))))
(-.f64 (log.f64 (-.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(-.f64 (log.f64 (-.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 1 binary64) (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
(log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal -1 binary64))
(neg.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) #s(literal 2 binary64)))
(log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))
(log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))))
(neg.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (sqrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))
(log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (neg.f64 (sqrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))))
(neg.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal -1 binary64) (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(neg.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))
(neg.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (neg.f64 (sqrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))) (sqrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))
(neg.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))
(neg.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))) (sqrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))
(neg.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))))
(neg.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64))) (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(neg.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(pow.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
(log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) #s(literal 3 binary64))
(log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(pow.f64 (pow.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) #s(literal 2 binary64))
(log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(neg.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(neg.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)))
(log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 3 binary64)))
(log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(log1p.f64 (-.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(exp.f64 (log.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))
(log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) #s(literal 1 binary64)))
(log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))

eval90.0ms (1.6%)

Compiler: Compiled 6413 to 4921 computations (23.3% saved)

prune45.0ms (0.8%)

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	306	2	308
Fresh	0	0	0
Picked	0	5	5
Done	1	4	5
Total	307	11	318

Accuracy

100.0%

Counts

318 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.2%	(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)))
✓	99.3%	(/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 x #s(literal 1/4 binary64)))) x)
✓	99.6%	(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
✓	98.3%	(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
✓	6.2%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
✓	98.8%	(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
✓	91.2%	(.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64))))
✓	67.1%	(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 x #s(literal -3/2 binary64))))
✓	98.6%	(sqrt.f64 (/.f64 #s(literal 1/4 binary64) x))
✓	92.3%	(exp.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
	6.7%	#s(literal 1 binary64)

Compiler

Compiled 201 to 153 computations (23.9% saved)

regimes8.0ms (0.1%)

Counts

17 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	x
1.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes6.0ms (0.1%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	x
1.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Results

Accuracy	Segments	Branch
98.8%	1	`x`
98.8%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes2.0ms (0%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total -1.0b remaining (-1.7%)

Threshold costs -1b (-1.7%)

Counts

2 → 1

Calls

Call 1

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

Outputs
#s(literal 1 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
6.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`1-exp`
2×	`+-commutative`
1×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	64
1	27	64

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.1s (19.5%)

Rules

1188×	`log1p-expm1-u`
1043×	`log1p-expm1-u`
954×	`expm1-log1p-u`
865×	`times-frac`
832×	`prod-diff`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	153
1	385	129
2	4702	129
0	530	12759
1	1206	11390
2	3910	11141
0	21	181
1	326	161
2	4615	161
0	22	127
1	298	115
2	3930	115
0	604	11712
1	1426	10936
2	4662	10416
0	352	6807
1	752	6303
2	1990	5531
3	6008	5313
0	11	27
1	132	27
2	1756	27

Stop Event

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

Compiler

Compiled 572 to 393 computations (31.3% saved)

preprocess36.0ms (0.6%)

Compiler: Compiled 76 to 60 computations (21.1% saved)

2sqrt (example 3.1)

analyze0.0ms (0%)

sample1.6s (27.8%)

preprocess57.0ms (1%)

explain153.0ms (2.7%)

eval0.0ms (0%)

prune3.0ms (0.1%)

localize67.0ms (1.2%)

series6.0ms (0.1%)

rewrite210.0ms (3.6%)

simplify158.0ms (2.7%)

eval68.0ms (1.2%)

prune28.0ms (0.5%)

localize180.0ms (3.1%)

series21.0ms (0.4%)

rewrite185.0ms (3.2%)

simplify246.0ms (4.3%)

eval110.0ms (1.9%)

prune62.0ms (1.1%)

localize181.0ms (3.1%)

series20.0ms (0.3%)

rewrite147.0ms (2.5%)

simplify200.0ms (3.5%)

eval60.0ms (1%)

prune50.0ms (0.9%)

localize253.0ms (4.4%)

series60.0ms (1%)

rewrite143.0ms (2.5%)

simplify180.0ms (3.1%)

eval90.0ms (1.6%)

prune45.0ms (0.8%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

simplify2.0ms (0%)

soundness1.1s (19.5%)

preprocess36.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	17	128
1	33	120
2	61	116
3	107	116
4	173	116
5	266	116
6	344	116
7	402	116
8	453	116
9	488	116
10	514	116
11	516	116

Iter	Nodes	Cost
0	17	128
1	33	120
2	61	116
3	107	116
4	173	116
5	266	116
6	344	116
7	402	116
8	453	116
9	488	116
10	514	116
11	516	116

Iter	Nodes	Cost
0	17	128
1	33	120
2	61	116
3	107	116
4	173	116
5	266	116
6	344	116
7	402	116
8	453	116
9	488	116
10	514	116
11	516	116