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

sample909.0ms (31.6%)

Results

831.0ms	8255×	256	valid
1.0ms	18×	256	invalid
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 308.0ms

Operation ival-sqrt, time spent: 162.0ms, 53.0% of total-time

Operation ival-mult, time spent: 71.0ms, 23.0% of total-time

Operation ival-sub, time spent: 61.0ms, 20.0% of total-time

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

Bogosity

preprocess248.0ms (8.6%)

Algorithm

1×	egg-herbie

Rules

42×	`fma-define`
18×	`sub-neg`
11×	`+-commutative`
6×	`*-commutative`
6×	`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	75	120
4	101	120
5	133	120
6	154	120
7	170	120
8	195	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: 27.0ms

Operation ival-sqrt, time spent: 12.0ms, 44.0% of total-time

Operation ival-sub, time spent: 9.0ms, 33.0% of total-time

Operation ival-mult, time spent: 4.0ms, 15.0% of total-time

Operation const, time spent: 2.0ms, 7.0% 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
▶	99.3%	(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Compiler

Compiled 8 to 6 computations (25% saved)

localize46.0ms (1.6%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(sqrt.f64 (-.f64 x #s(literal 1 binary64)))
✓	99.3%	(*.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: 18.0ms

Operation ival-sqrt, time spent: 10.0ms, 57.0% of total-time

Operation ival-sub, time spent: 5.0ms, 28.0% of total-time

Operation ival-mult, time spent: 2.0ms, 11.0% of total-time

Operation const, time spent: 1.0ms, 6.0% 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	@	-inf	(sqrt (- x 1))
1.0ms	x	@	0	(* (sqrt (- x 1)) (sqrt x))
1.0ms	x	@	inf	(sqrt (- x 1))
1.0ms	x	@	-inf	(* (sqrt (- x 1)) (sqrt x))

rewrite253.0ms (8.8%)

Algorithm

1×	batch-egg-rewrite

Rules

504×	`unpow-prod-down`
471×	`log1p-expm1-u`
471×	`expm1-log1p-u`
447×	`add-exp-log`
397×	`pow1`

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 (3.5%)

Algorithm

1×	egg-herbie

Rules

887×	`fma-define`
457×	`unsub-neg`
369×	`distribute-lft-neg-in`
338×	`fma-neg`
307×	`*-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)))

eval138.0ms (4.8%)

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
▶	99.5%	(+.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)))
▶	99.7%	(+.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))))
▶	99.3%	(+.f64 x #s(literal -1/2 binary64))
▶	52.4%	(sqrt.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))
▶	98.5%	x

Compiler

Compiled 70 to 52 computations (25.7% saved)

localize217.0ms (7.5%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(*.f64 x (+.f64 x #s(literal -1 binary64)))
✓	52.4%	(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: 128.0ms

Operation ival-div, time spent: 88.0ms, 69.0% of total-time

Operation ival-add, time spent: 13.0ms, 10.0% of total-time

Operation ival-sub, time spent: 12.0ms, 9.0% of total-time

Operation ival-mult, time spent: 8.0ms, 6.0% of total-time

Operation const, time spent: 5.0ms, 4.0% of total-time

Operation ival-sqrt, time spent: 3.0ms, 2.0% of total-time

series8.0ms (0.3%)

Counts

3 → 36

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

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	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	@	inf	(* x (+ x -1))
0.0ms	x	@	0	(sqrt (* x (+ x -1)))

rewrite259.0ms (9%)

Algorithm

1×	batch-egg-rewrite

Rules

1035×	`log1p-expm1-u`
1035×	`expm1-log1p-u`
297×	`prod-diff`
208×	`fma-define`
158×	`log1p-undefine`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	67
1	192	67
2	2796	65

Stop Event

1×	node limit

Counts

3 → 177

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

simplify150.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

387×	`distribute-lft-in`
366×	`distribute-rgt-in`
295×	`fma-neg`
247×	`distribute-lft-neg-out`
209×	`distribute-rgt-neg-out`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	530	9598
1	1316	7997
2	3920	6407

Stop Event

1×	node limit

Counts

213 → 259

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

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

eval178.0ms (6.2%)

Compiler: Compiled 6425 to 4700 computations (26.8% saved)

prune51.0ms (1.8%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	259	0	259
Fresh	0	0	0
Picked	0	5	5
Done	0	0	0
Total	259	5	264

Accuracy

100.0%

Counts

264 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.5%	(+.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)))
✓	99.7%	(+.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))))
✓	99.3%	(+.f64 x #s(literal -1/2 binary64))
✓	52.4%	(sqrt.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))
✓	98.5%	x

Compiler

Compiled 73 to 53 computations (27.4% saved)

regimes5.0ms (0.2%)

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:

2.0ms	(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
2.0ms	x

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes2.0ms (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:

1.0ms

Results

Accuracy	Segments	Branch
99.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0.1%)

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:

2.0ms

Results

Accuracy	Segments	Branch
99.3%	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
98.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify14.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

52×	`unsub-neg`
34×	`neg-mul-1`
27×	`distribute-lft-neg-in`
20×	`neg-sub0`
17×	`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)

soundness220.0ms (7.6%)

Rules

887×	`fma-define`
457×	`unsub-neg`
369×	`distribute-lft-neg-in`
338×	`fma-neg`
307×	`*-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%)

preprocess41.0ms (1.4%)

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%)

sample909.0ms (31.6%)

preprocess248.0ms (8.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize46.0ms (1.6%)

series8.0ms (0.3%)

rewrite253.0ms (8.8%)

simplify102.0ms (3.5%)

eval138.0ms (4.8%)

prune22.0ms (0.8%)

localize217.0ms (7.5%)

series8.0ms (0.3%)

rewrite259.0ms (9%)

simplify150.0ms (5.2%)

eval178.0ms (6.2%)

prune51.0ms (1.8%)

regimes5.0ms (0.2%)

regimes2.0ms (0.1%)

regimes2.0ms (0.1%)

regimes1.0ms (0%)

simplify14.0ms (0.5%)

soundness220.0ms (7.6%)

end0.0ms (0%)

preprocess41.0ms (1.4%)

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