Metrics for sqrt times

analyze2.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	50%	0%	0%	50%	0%	2
50%	25%	25%	0%	0%	50%	0%	3
66.7%	25%	12.5%	0%	0%	62.5%	0%	4
80%	25%	6.2%	0%	0%	68.7%	0%	5
88.9%	25%	3.1%	0%	0%	71.8%	0%	6
94.1%	25%	1.6%	0%	0%	73.4%	0%	7
97%	25%	0.8%	0%	0%	74.2%	0%	8
98.5%	25%	0.4%	0%	0%	74.6%	0%	9
99.2%	25%	0.2%	0%	0%	74.8%	0%	10
99.6%	25%	0.1%	0%	0%	74.9%	0%	11
99.8%	25%	0%	0%	0%	74.9%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

Operation ival-sub, time spent: 0.0ms, 0.0% of total-time

Operation ival-mult, time spent: 0.0ms, 0.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

Operation ival-sqrt, time spent: 0.0ms, 0.0% of total-time

sample898.0ms (31.4%)

Results

831.0ms	8255×	256	valid
1.0ms	14×	256	invalid
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 272.0ms

Operation ival-sqrt, time spent: 131.0ms, 48.0% of total-time

Operation ival-mult, time spent: 66.0ms, 24.0% of total-time

Operation ival-sub, time spent: 62.0ms, 23.0% of total-time

Operation const, time spent: 14.0ms, 5.0% of total-time

Bogosity

preprocess258.0ms (9%)

Algorithm

1×	egg-herbie

Rules

84×	`fma-define`
38×	`sub-neg`
22×	`+-commutative`
12×	`*-commutative`
12×	`associate-+l-`

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`#s(literal 1 binary64)`
-	-	`(-.f64 x #s(literal 1 binary64))`
-	-	`(sqrt.f64 (-.f64 x #s(literal 1 binary64)))`
-	-	`(sqrt.f64 x)`
-	-	`(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	128
1	36	124
2	55	120
3	77	120
4	103	120
5	135	120
6	156	120
7	172	120
8	197	120

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

Compiler

Compiled 48 to 32 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 148.0ms

Operation ival-sqrt, time spent: 132.0ms, 89.0% of total-time

Operation ival-sub, time spent: 10.0ms, 7.0% of total-time

Operation ival-mult, time spent: 4.0ms, 3.0% of total-time

Operation const, time spent: 2.0ms, 1.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 8 to 6 computations (25% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Compiler

Compiled 8 to 6 computations (25% saved)

localize44.0ms (1.5%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(sqrt.f64 (-.f64 x #s(literal 1 binary64)))
✓	99.2%	(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Compiler

Compiled 20 to 13 computations (35% saved)

Precisions

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

Operation ival-sqrt, time spent: 7.0ms, 47.0% of total-time

Operation ival-sub, time spent: 5.0ms, 33.0% of total-time

Operation ival-mult, time spent: 2.0ms, 13.0% of total-time

Operation const, time spent: 1.0ms, 7.0% of total-time

series8.0ms (0.3%)

Counts

2 → 24

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(* (sqrt (- x 1)) (sqrt x))
1.0ms	x	@	0	(* (sqrt (- x 1)) (sqrt x))
1.0ms	x	@	-inf	(sqrt (- x 1))
1.0ms	x	@	inf	(sqrt (- x 1))
1.0ms	x	@	0	(sqrt (- x 1))

rewrite254.0ms (8.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1008×	`unpow-prod-down`
586×	`prod-exp`
496×	`log-prod`
471×	`log1p-expm1-u`
471×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	37
1	125	37
2	1423	37

Stop Event

1×	node limit

Counts

2 → 67

Calls

Call 1

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

Outputs
(+.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 x (+.f64 x #s(literal -1 binary64)))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 x (+.f64 x #s(literal -1 binary64))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 x (+.f64 x #s(literal -1 binary64))))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 x (+.f64 x #s(literal -1 binary64))))))))
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (.f64 x (+.f64 x #s(literal -1 binary64)))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (sqrt.f64 (.f64 x (+.f64 x #s(literal -1 binary64)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (.f64 x (+.f64 x #s(literal -1 binary64))))))) (sqrt.f64 (log.f64 (sqrt.f64 (.f64 x (+.f64 x #s(literal -1 binary64)))))))
(sqrt.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 3/2 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64)))))))
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (log.f64 (E.f64)))
(*.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/6 binary64)) (cbrt.f64 (+.f64 x #s(literal -1 binary64))))
(*.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/6 binary64)))
(*.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 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))) (pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 5/6 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64))) (pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 5/6 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/6 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 5/4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64))))
(/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (hypot.f64 x (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64)))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (+.f64 x #s(literal -1 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64)))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))))))
(fabs.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64)))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3/2 binary64) (log.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)))

simplify102.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

1774×	`fma-define`
914×	`unsub-neg`
738×	`distribute-lft-neg-in`
676×	`fma-neg`
614×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	324	3470
1	749	3276
2	2192	3156
3	5819	3054

Stop Event

1×	node limit

Counts

91 → 160

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))))
(+.f64 (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 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 3 binary64))))) (.f64 #s(literal 1/16 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 5 binary64))))))))))
x
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))) x))))
(.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x))) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(sqrt.f64 #s(literal -1 binary64))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x (+.f64 (.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))))
(sqrt.f64 x)
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))))
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))))))))
(.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 #s(literal 1/2 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 (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) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/2 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 (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) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 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)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/2 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 x (+.f64 x #s(literal -1 binary64)))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 x (+.f64 x #s(literal -1 binary64))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 x (+.f64 x #s(literal -1 binary64))))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 x (+.f64 x #s(literal -1 binary64))))))))
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (.f64 x (+.f64 x #s(literal -1 binary64)))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (sqrt.f64 (.f64 x (+.f64 x #s(literal -1 binary64)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (.f64 x (+.f64 x #s(literal -1 binary64))))))) (sqrt.f64 (log.f64 (sqrt.f64 (.f64 x (+.f64 x #s(literal -1 binary64)))))))
(sqrt.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 3/2 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64)))))))
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (log.f64 (E.f64)))
(*.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/6 binary64)) (cbrt.f64 (+.f64 x #s(literal -1 binary64))))
(*.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/6 binary64)))
(*.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 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))) (pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 5/6 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64))) (pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 5/6 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/6 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 5/4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64))))
(/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (hypot.f64 x (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64)))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (+.f64 x #s(literal -1 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64)))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))))))
(fabs.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64)))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3/2 binary64) (log.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)))

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

eval117.0ms (4.1%)

Compiler: Compiled 2801 to 2176 computations (22.3% saved)

prune22.0ms (0.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	155	5	160
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	156	5	161

Accuracy

100.0%

Counts

161 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(+.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)))
▶	99.6%	(+.f64 x (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x))))
▶	99.0%	(+.f64 x #s(literal -1/2 binary64))
▶	52.0%	(sqrt.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))
▶	98.3%	x

Compiler

Compiled 70 to 52 computations (25.7% saved)

localize388.0ms (13.6%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	52.0%	(sqrt.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))
✓	100.0%	(/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x)

Compiler

Compiled 95 to 69 computations (27.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 190.0ms

Operation ival-div, time spent: 89.0ms, 47.0% of total-time

Operation ival-mult, time spent: 68.0ms, 36.0% of total-time

Operation ival-add, time spent: 15.0ms, 8.0% of total-time

Operation ival-sub, time spent: 12.0ms, 6.0% of total-time

Operation const, time spent: 5.0ms, 3.0% of total-time

Operation ival-sqrt, time spent: 2.0ms, 1.0% of total-time

series4.0ms (0.2%)

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x)>
#<alt (sqrt.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))>

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/ (- 1/8 (/ -1/16 x)) x)
1.0ms	x	@	0	(/ (- 1/8 (/ -1/16 x)) x)
1.0ms	x	@	-inf	(/ (- 1/8 (/ -1/16 x)) x)
0.0ms	x	@	0	(sqrt (* x (+ x -1)))
0.0ms	x	@	-inf	(sqrt (* x (+ x -1)))

rewrite128.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1035×	`log1p-expm1-u`
1035×	`expm1-log1p-u`
594×	`prod-diff`
416×	`fma-define`
316×	`log1p-undefine`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	48
1	192	48
2	2796	46

Stop Event

1×	node limit

Counts

2 → 131

Calls

Call 1

Inputs
(/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x)
(sqrt.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))

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

simplify126.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

1280×	`times-frac`
722×	`associate-*r/`
660×	`associate-*l/`
612×	`*-commutative`
476×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	433	7794
1	1098	6808
2	3057	4982

Stop Event

1×	node limit

Counts

155 → 193

Calls

Call 1

Inputs
(/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/8 binary64) x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/8 binary64) x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/8 binary64) x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1/8 binary64) x)
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) x))) x)
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) x))) x)
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) x))) x)
(/.f64 #s(literal 1/8 binary64) x)
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) x))) x)
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) x))) x)
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) x))) x)
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))))
(+.f64 (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 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 3 binary64))))) (.f64 #s(literal 1/16 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 5 binary64))))))))))
x
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))) x))))
(.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))) x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))) x)))))
(+.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1/16 binary64) x)) (sqrt.f64 x))) (/.f64 (sqrt.f64 (/.f64 #s(literal -1/16 binary64) x)) (sqrt.f64 x)) (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (/.f64 #s(literal 1/8 binary64) x) (neg.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x) (neg.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1/16 binary64)))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal -1/16 binary64) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1/16 binary64))))
(+.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1/16 binary64) x)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/16 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1/16 binary64) x))))
(+.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x) (neg.f64 (.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x) (neg.f64 (.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1/16 binary64) x)) x) (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/16 binary64) x)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1/16 binary64) x)) x)) (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/16 binary64) x)) #s(literal 2 binary64)) (.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1/16 binary64) x)) x) (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/16 binary64) x)) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x) (neg.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1/16 binary64) x)) x) (sqrt.f64 (/.f64 #s(literal -1/16 binary64) x))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1/16 binary64) x)) x)) (sqrt.f64 (/.f64 #s(literal -1/16 binary64) x)) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1/16 binary64) x)) x) (sqrt.f64 (/.f64 #s(literal -1/16 binary64) x)))))
(+.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x) (neg.f64 (.f64 (cbrt.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 (cbrt.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64)))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64))))) (.f64 (cbrt.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64))))) (.f64 (cbrt.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(+.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x) (neg.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 x)) (/.f64 #s(literal -1/16 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 x))) (/.f64 #s(literal -1/16 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 x)) (/.f64 #s(literal -1/16 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))))
(+.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x) (neg.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/16 binary64) (sqrt.f64 x))))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))) (/.f64 #s(literal -1/16 binary64) (sqrt.f64 x)) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/16 binary64) (sqrt.f64 x)))))
(+.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x) (neg.f64 (.f64 (/.f64 (/.f64 #s(literal -1/16 binary64) x) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal -1/16 binary64) x) (cbrt.f64 x))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (.f64 (/.f64 (/.f64 #s(literal -1/16 binary64) x) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))))
(+.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x) (neg.f64 (.f64 (/.f64 (/.f64 #s(literal -1/16 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal -1/16 binary64) x) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 (/.f64 (/.f64 #s(literal -1/16 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(+.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x) (neg.f64 (.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1/16 binary64) x)) x) (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/16 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1/16 binary64) x)) x)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/16 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1/16 binary64) x)) x) (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/16 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(+.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x) (neg.f64 (.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1/16 binary64) x)) (cbrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/16 binary64) x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1/16 binary64) x)) (cbrt.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/16 binary64) x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1/16 binary64) x)) (cbrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/16 binary64) x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))))
(+.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x) (neg.f64 (.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1/16 binary64) x)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/16 binary64) x)) #s(literal 2 binary64)) (sqrt.f64 x))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1/16 binary64) x)) (sqrt.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/16 binary64) x)) #s(literal 2 binary64)) (sqrt.f64 x)) (.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1/16 binary64) x)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/16 binary64) x)) #s(literal 2 binary64)) (sqrt.f64 x)))))
(+.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x) (neg.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1/16 binary64) x)) x) (/.f64 (sqrt.f64 (/.f64 #s(literal -1/16 binary64) x)) #s(literal 1 binary64))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1/16 binary64) x)) x)) (/.f64 (sqrt.f64 (/.f64 #s(literal -1/16 binary64) x)) #s(literal 1 binary64)) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1/16 binary64) x)) x) (/.f64 (sqrt.f64 (/.f64 #s(literal -1/16 binary64) x)) #s(literal 1 binary64)))))
(+.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x) (neg.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1/16 binary64) x)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (/.f64 #s(literal -1/16 binary64) x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1/16 binary64) x)) (cbrt.f64 x))) (/.f64 (sqrt.f64 (/.f64 #s(literal -1/16 binary64) x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1/16 binary64) x)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (/.f64 #s(literal -1/16 binary64) x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) x) (neg.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1/16 binary64)))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal -1/16 binary64) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1/16 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) x) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1/16 binary64) x)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/16 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1/16 binary64) x))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) x) (neg.f64 (.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) x) (neg.f64 (.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1/16 binary64) x)) x) (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/16 binary64) x)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1/16 binary64) x)) x)) (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/16 binary64) x)) #s(literal 2 binary64)) (.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1/16 binary64) x)) x) (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/16 binary64) x)) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) x) (neg.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1/16 binary64) x)) x) (sqrt.f64 (/.f64 #s(literal -1/16 binary64) x))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1/16 binary64) x)) x)) (sqrt.f64 (/.f64 #s(literal -1/16 binary64) x)) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1/16 binary64) x)) x) (sqrt.f64 (/.f64 #s(literal -1/16 binary64) x)))))
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(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x)) (neg.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1/16 binary64) x)) x) (sqrt.f64 (/.f64 #s(literal -1/16 binary64) x))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1/16 binary64) x)) x)) (sqrt.f64 (/.f64 #s(literal -1/16 binary64) x)) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1/16 binary64) x)) x) (sqrt.f64 (/.f64 #s(literal -1/16 binary64) x)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x)) (neg.f64 (.f64 (cbrt.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 (cbrt.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64)))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64))))) (.f64 (cbrt.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64))))) (.f64 (cbrt.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x)) (neg.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 x)) (/.f64 #s(literal -1/16 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 x))) (/.f64 #s(literal -1/16 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 x)) (/.f64 #s(literal -1/16 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x)) (neg.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/16 binary64) (sqrt.f64 x))))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))) (/.f64 #s(literal -1/16 binary64) (sqrt.f64 x)) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/16 binary64) (sqrt.f64 x)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x)) (neg.f64 (.f64 (/.f64 (/.f64 #s(literal -1/16 binary64) x) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal -1/16 binary64) x) (cbrt.f64 x))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (.f64 (/.f64 (/.f64 #s(literal -1/16 binary64) x) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x)) (neg.f64 (.f64 (/.f64 (/.f64 #s(literal -1/16 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal -1/16 binary64) x) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 (/.f64 (/.f64 #s(literal -1/16 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x)) (neg.f64 (.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1/16 binary64) x)) x) (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/16 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1/16 binary64) x)) x)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/16 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1/16 binary64) x)) x) (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/16 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x)) (neg.f64 (.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1/16 binary64) x)) (cbrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/16 binary64) x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1/16 binary64) x)) (cbrt.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/16 binary64) x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1/16 binary64) x)) (cbrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/16 binary64) x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x)) (neg.f64 (.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1/16 binary64) x)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/16 binary64) x)) #s(literal 2 binary64)) (sqrt.f64 x))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1/16 binary64) x)) (sqrt.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/16 binary64) x)) #s(literal 2 binary64)) (sqrt.f64 x)) (.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal -1/16 binary64) x)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/16 binary64) x)) #s(literal 2 binary64)) (sqrt.f64 x)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x)) (neg.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1/16 binary64) x)) x) (/.f64 (sqrt.f64 (/.f64 #s(literal -1/16 binary64) x)) #s(literal 1 binary64))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1/16 binary64) x)) x)) (/.f64 (sqrt.f64 (/.f64 #s(literal -1/16 binary64) x)) #s(literal 1 binary64)) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1/16 binary64) x)) x) (/.f64 (sqrt.f64 (/.f64 #s(literal -1/16 binary64) x)) #s(literal 1 binary64)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x)) (neg.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1/16 binary64) x)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (/.f64 #s(literal -1/16 binary64) x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1/16 binary64) x)) (cbrt.f64 x))) (/.f64 (sqrt.f64 (/.f64 #s(literal -1/16 binary64) x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1/16 binary64) x)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (/.f64 #s(literal -1/16 binary64) x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))))
(-.f64 (/.f64 #s(literal 1/8 binary64) x) (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x))
(*.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x))) x))
(.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x)) (sqrt.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x))) x))
(.f64 (sqrt.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x))) (.f64 (sqrt.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x))) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x))) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x))) x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x))) (cbrt.f64 x)))
(pow.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 x (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x))) #s(literal -1 binary64))
(neg.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) (neg.f64 x)))
(neg.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x)))
(exp.f64 (log.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) x) (neg.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1/8 binary64) x)) (cbrt.f64 (/.f64 #s(literal 1/8 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1/8 binary64) x)) (neg.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x)) (neg.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))) #s(literal 1 binary64))
(*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) (cbrt.f64 (.f64 x (+.f64 x #s(literal -1 binary64)))))
(.f64 (cbrt.f64 (.f64 x (+.f64 x #s(literal -1 binary64)))) (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
(.f64 (pow.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(pow.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(log.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(hypot.f64 (sqrt.f64 (neg.f64 x)) x)
(log1p.f64 (expm1.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(exp.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) #s(literal 1 binary64)))

Outputs
(/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/8 binary64) x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 2 binary64)))
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(fma.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1/8 binary64) x)) (cbrt.f64 (/.f64 #s(literal 1/8 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1/8 binary64) x)) (neg.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x)) (neg.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(+.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) #s(literal 0 binary64))
(*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) #s(literal 1 binary64))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(*.f64 #s(literal 1 binary64) (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) (cbrt.f64 (.f64 x (+.f64 x #s(literal -1 binary64)))))
(*.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x)))
(.f64 (cbrt.f64 (.f64 x (+.f64 x #s(literal -1 binary64)))) (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) (cbrt.f64 (.f64 x (+.f64 x #s(literal -1 binary64)))))
(*.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(.f64 (pow.f64 (.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(*.f64 (fabs.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x))) (sqrt.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(*.f64 (fabs.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x))) (sqrt.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x))))
(pow.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) #s(literal 1 binary64))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(pow.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) #s(literal 3 binary64))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 3/2 binary64)))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x) #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(fabs.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(log.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 3/2 binary64)))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) x) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(+.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) #s(literal 0 binary64))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(hypot.f64 (sqrt.f64 (neg.f64 x)) x)
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(log1p.f64 (expm1.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(exp.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) #s(literal 1 binary64)))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))

eval163.0ms (5.7%)

Compiler: Compiled 5614 to 4181 computations (25.5% saved)

prune27.0ms (1%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	193	0	193
Fresh	0	0	0
Picked	0	5	5
Done	0	0	0
Total	193	5	198

Accuracy

100.0%

Counts

198 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.3%	(+.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)))
✓	99.6%	(+.f64 x (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x))))
✓	99.0%	(+.f64 x #s(literal -1/2 binary64))
✓	52.0%	(sqrt.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))
✓	98.3%	x

Compiler

Compiled 73 to 53 computations (27.4% saved)

regimes41.0ms (1.4%)

Counts

6 → 1

Calls

Call 1

Inputs
x
(+.f64 x #s(literal -1/2 binary64))
(+.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)))
(+.f64 x (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x))))
(sqrt.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Outputs
(+.f64 x (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x))))

Calls

2 calls:

28.0ms	x
12.0ms	(*.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)

regimes3.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes20.0ms (0.7%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

20.0ms

Results

Accuracy	Segments	Branch
99.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
98.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify14.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

104×	`unsub-neg`
68×	`neg-mul-1`
54×	`distribute-lft-neg-in`
40×	`neg-sub0`
34×	`distribute-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	79
1	36	79
2	50	79
3	64	79
4	92	79
5	129	79
6	160	79
7	208	79
8	267	79
9	292	79
10	302	79
11	311	79
12	314	79
13	316	79

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(+.f64 x (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x))))
(+.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)))
(+.f64 x #s(literal -1/2 binary64))
x

Outputs
(+.f64 x (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x))))
(+.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x)))
(+.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64)) x)))
(+.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)))
(+.f64 x #s(literal -1/2 binary64))
x

Compiler

Compiled 26 to 19 computations (26.9% saved)

soundness206.0ms (7.2%)

Rules

1774×	`fma-define`
914×	`unsub-neg`
738×	`distribute-lft-neg-in`
676×	`fma-neg`
614×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	324	3470
1	749	3276
2	2192	3156
3	5819	3054

Stop Event

1×	node limit

Compiler

Compiled 478 to 372 computations (22.2% saved)

end0.0ms (0%)

preprocess35.0ms (1.2%)

Compiler: Compiled 62 to 44 computations (29% saved)

Iter	Nodes	Cost
0	20	79
1	36	79
2	50	79
3	64	79
4	92	79
5	129	79
6	160	79
7	208	79
8	267	79
9	292	79
10	302	79
11	311	79
12	314	79
13	316	79

Iter	Nodes	Cost
0	20	79
1	36	79
2	50	79
3	64	79
4	92	79
5	129	79
6	160	79
7	208	79
8	267	79
9	292	79
10	302	79
11	311	79
12	314	79
13	316	79

analyze2.0ms (0.1%)

sample898.0ms (31.4%)

preprocess258.0ms (9%)

eval0.0ms (0%)

prune1.0ms (0%)

localize44.0ms (1.5%)

series8.0ms (0.3%)

rewrite254.0ms (8.9%)

simplify102.0ms (3.6%)

eval117.0ms (4.1%)

prune22.0ms (0.8%)

localize388.0ms (13.6%)

series4.0ms (0.2%)

rewrite128.0ms (4.5%)

simplify126.0ms (4.4%)

eval163.0ms (5.7%)

prune27.0ms (1%)

regimes41.0ms (1.4%)

regimes3.0ms (0.1%)

regimes20.0ms (0.7%)

regimes1.0ms (0%)

simplify14.0ms (0.5%)

soundness206.0ms (7.2%)

end0.0ms (0%)

preprocess35.0ms (1.2%)

Profiling

Iter	Nodes	Cost
0	20	79
1	36	79
2	50	79
3	64	79
4	92	79
5	129	79
6	160	79
7	208	79
8	267	79
9	292	79
10	302	79
11	311	79
12	314	79
13	316	79