Details

analyze3.0ms (0.2%)

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%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
75%	75%	25%	0%	0%	0%	0%	4
87.5%	87.5%	12.5%	0%	0%	0%	0%	5
93.8%	93.7%	6.2%	0%	0%	0%	0%	6
96.9%	96.8%	3.1%	0%	0%	0%	0%	7
98.4%	98.4%	1.6%	0%	0%	0%	0%	8
99.2%	99.2%	0.8%	0%	0%	0%	0%	9
99.6%	99.6%	0.4%	0%	0%	0%	0%	10
99.8%	99.8%	0.2%	0%	0%	0%	0%	11
99.9%	99.9%	0.1%	0%	0%	0%	0%	12

Compiler

Compiled 10 to 5 computations (50% saved)

sample846.0ms (50.3%)

Results

813.0ms	8256×	body	256	valid
0.0ms	2×	body	256	infinite

Bogosity

preprocess4.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

6×	`*-commutative`
4×	`count-2`
2×	`associate-r`
2×	`fma-def`
2×	`hypot-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	14	7
2	18	7
3	19	7
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))

Outputs
(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))
(hypot.f64 x x)

Compiler

Compiled 10 to 5 computations (50% saved)

simplify12.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative`
4×	`count-2`
2×	`associate-r`
2×	`fma-def`
2×	`hypot-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	14	7
2	18	7
3	19	7

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))

Outputs
(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))
(hypot.f64 x x)

eval0.0ms (0%)

Compiler: Compiled 12 to 5 computations (58.3% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	1	3

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(hypot.f64 x x)

Compiler

Compiled 4 to 2 computations (50% saved)

localize2.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(hypot.f64 x x)

Compiler

Compiled 5 to 2 computations (60% saved)

series3.0ms (0.2%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(hypot.f64 x x)
1.0ms	x	@	inf	(hypot.f64 x x)
1.0ms	x	@	0	(hypot.f64 x x)

rewrite50.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

918×	`associate-r`
744×	`add-sqr-sqrt`
738×	`*-un-lft-identity`
696×	`pow1`
682×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
1	80	7
2	916	7

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

Inputs
(hypot.f64 x x)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (hypot.f64 x x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (hypot.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (hypot.f64 x x)) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (cbrt.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) (sqrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (cbrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sqrt.f64 (hypot.f64 x x))) (.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 x x))) (sqrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) (.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (hypot.f64 x x) (cbrt.f64 (hypot.f64 x x)))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (cbrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) (.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (hypot.f64 x x)) (sqrt.f64 (cbrt.f64 (hypot.f64 x x)))) (.f64 (cbrt.f64 (hypot.f64 x x)) (sqrt.f64 (cbrt.f64 (hypot.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (sqrt.f64 (hypot.f64 x x)))) (sqrt.f64 (sqrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (hypot.f64 x x)) (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (sqrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))) (sqrt.f64 (cbrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (hypot.f64 x x)) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (.f64 (hypot.f64 x x) (cbrt.f64 (hypot.f64 x x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (sqrt.f64 (cbrt.f64 (hypot.f64 x x)))) (sqrt.f64 (cbrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (cbrt.f64 (sqrt.f64 (hypot.f64 x x)))) (cbrt.f64 (sqrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (hypot.f64 x x))) (.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))) (.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (cbrt.f64 (sqrt.f64 (hypot.f64 x x)))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (cbrt.f64 (sqrt.f64 (hypot.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (+.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 x x)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (hypot.f64 x x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 x x)) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (cbrt.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (*.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) (sqrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (cbrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 x x))) (*.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 x x))) (sqrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) (*.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (hypot.f64 x x) (cbrt.f64 (hypot.f64 x x)))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (cbrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) (*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (hypot.f64 x x)) (sqrt.f64 (cbrt.f64 (hypot.f64 x x)))) (*.f64 (cbrt.f64 (hypot.f64 x x)) (sqrt.f64 (cbrt.f64 (hypot.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (sqrt.f64 (hypot.f64 x x)))) (sqrt.f64 (sqrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (hypot.f64 x x)) (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (sqrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))) (sqrt.f64 (cbrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (hypot.f64 x x)) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (*.f64 (hypot.f64 x x) (cbrt.f64 (hypot.f64 x x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (sqrt.f64 (cbrt.f64 (hypot.f64 x x)))) (sqrt.f64 (cbrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (cbrt.f64 (sqrt.f64 (hypot.f64 x x)))) (cbrt.f64 (sqrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (hypot.f64 x x))) (*.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (cbrt.f64 (sqrt.f64 (hypot.f64 x x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (cbrt.f64 (sqrt.f64 (hypot.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 x x)))))))

simplify56.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1144×	`distribute-lft-in`
1118×	`associate-r`
1046×	`distribute-rgt-in`
928×	`associate-l`
836×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	88	1038
1	194	864
2	596	854
3	3338	854
4	7923	854

Stop Event

1×	node limit

Counts

48 → 50

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(-.f64 (+.f64 (hypot.f64 x x) 1) 1)
(*.f64 (hypot.f64 x x) 1)
(*.f64 1 (hypot.f64 x x))
(*.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x)))
(*.f64 (cbrt.f64 (hypot.f64 x x)) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (cbrt.f64 (hypot.f64 x x)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) (sqrt.f64 (hypot.f64 x x))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (cbrt.f64 (hypot.f64 x x))))
(.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 x x))) (.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 x x))) (sqrt.f64 (hypot.f64 x x))))
(.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) (.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)))
(.f64 (cbrt.f64 (.f64 (hypot.f64 x x) (cbrt.f64 (hypot.f64 x x)))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (cbrt.f64 (hypot.f64 x x))))
(.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) (.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)))
(.f64 (.f64 (cbrt.f64 (hypot.f64 x x)) (sqrt.f64 (cbrt.f64 (hypot.f64 x x)))) (*.f64 (cbrt.f64 (hypot.f64 x x)) (sqrt.f64 (cbrt.f64 (hypot.f64 x x)))))
(.f64 (.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (sqrt.f64 (hypot.f64 x x)))) (sqrt.f64 (sqrt.f64 (hypot.f64 x x))))
(.f64 (.f64 (sqrt.f64 (hypot.f64 x x)) (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (sqrt.f64 (hypot.f64 x x))))
(.f64 (.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))) (sqrt.f64 (cbrt.f64 (hypot.f64 x x))))
(.f64 (.f64 (cbrt.f64 (hypot.f64 x x)) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)))
(.f64 (.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (*.f64 (hypot.f64 x x) (cbrt.f64 (hypot.f64 x x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (sqrt.f64 (cbrt.f64 (hypot.f64 x x)))) (sqrt.f64 (cbrt.f64 (hypot.f64 x x))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (cbrt.f64 (sqrt.f64 (hypot.f64 x x)))) (cbrt.f64 (sqrt.f64 (hypot.f64 x x))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (hypot.f64 x x))) (*.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (hypot.f64 x x))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (cbrt.f64 (sqrt.f64 (hypot.f64 x x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (cbrt.f64 (sqrt.f64 (hypot.f64 x x)))))
(pow.f64 (hypot.f64 x x) 1)
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)
(pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/3)
(pow.f64 (*.f64 x (+.f64 x x)) 1/2)
(sqrt.f64 (*.f64 x (+.f64 x x)))
(log.f64 (exp.f64 (hypot.f64 x x)))
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3))
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(exp.f64 (log.f64 (hypot.f64 x x)))
(log1p.f64 (expm1.f64 (hypot.f64 x x)))

Outputs
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(.f64 -1 (.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (+.f64 (hypot.f64 x x) 1) 1)
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(*.f64 (hypot.f64 x x) 1)
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(*.f64 1 (hypot.f64 x x))
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(*.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x)))
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(*.f64 (cbrt.f64 (hypot.f64 x x)) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (cbrt.f64 (hypot.f64 x x)))
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) (sqrt.f64 (hypot.f64 x x))))
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (cbrt.f64 (hypot.f64 x x))))
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 x x))) (.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 x x))) (sqrt.f64 (hypot.f64 x x))))
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) (.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)))
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (cbrt.f64 (cbrt.f64 (hypot.f64 x x)))))
(.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (cbrt.f64 (cbrt.f64 (hypot.f64 x x)))))
(.f64 (cbrt.f64 (.f64 (hypot.f64 x x) (cbrt.f64 (hypot.f64 x x)))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (cbrt.f64 (hypot.f64 x x))))
(.f64 (cbrt.f64 (.f64 (hypot.f64 x x) (cbrt.f64 (hypot.f64 x x)))) (*.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))))
(.f64 (cbrt.f64 (hypot.f64 x x)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 4))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 4))))
(.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) (.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)))
(.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) (cbrt.f64 (sqrt.f64 (hypot.f64 x x)))))
(.f64 (.f64 (cbrt.f64 (hypot.f64 x x)) (sqrt.f64 (cbrt.f64 (hypot.f64 x x)))) (*.f64 (cbrt.f64 (hypot.f64 x x)) (sqrt.f64 (cbrt.f64 (hypot.f64 x x)))))
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(.f64 (.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (sqrt.f64 (hypot.f64 x x)))) (sqrt.f64 (sqrt.f64 (hypot.f64 x x))))
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(.f64 (.f64 (sqrt.f64 (hypot.f64 x x)) (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (sqrt.f64 (hypot.f64 x x))))
(.f64 (sqrt.f64 (hypot.f64 x x)) (.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (sqrt.f64 (hypot.f64 x x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 5/2))
(.f64 (.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))) (sqrt.f64 (cbrt.f64 (hypot.f64 x x))))
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(.f64 (.f64 (cbrt.f64 (hypot.f64 x x)) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)))
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(.f64 (.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (*.f64 (hypot.f64 x x) (cbrt.f64 (hypot.f64 x x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)))
(.f64 (cbrt.f64 (.f64 (hypot.f64 x x) (cbrt.f64 (hypot.f64 x x)))) (*.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))))
(.f64 (cbrt.f64 (hypot.f64 x x)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 4))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 4))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (sqrt.f64 (cbrt.f64 (hypot.f64 x x)))) (sqrt.f64 (cbrt.f64 (hypot.f64 x x))))
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(.f64 (.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (cbrt.f64 (cbrt.f64 (hypot.f64 x x)))))
(.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (cbrt.f64 (cbrt.f64 (hypot.f64 x x)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (cbrt.f64 (sqrt.f64 (hypot.f64 x x)))) (cbrt.f64 (sqrt.f64 (hypot.f64 x x))))
(.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) (cbrt.f64 (sqrt.f64 (hypot.f64 x x)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (hypot.f64 x x))) (*.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (hypot.f64 x x))))
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))))
(.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) (cbrt.f64 (sqrt.f64 (hypot.f64 x x)))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (cbrt.f64 (sqrt.f64 (hypot.f64 x x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (cbrt.f64 (sqrt.f64 (hypot.f64 x x)))))
(.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) (cbrt.f64 (sqrt.f64 (hypot.f64 x x)))))
(pow.f64 (hypot.f64 x x) 1)
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/3)
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(pow.f64 (*.f64 x (+.f64 x x)) 1/2)
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(sqrt.f64 (*.f64 x (+.f64 x x)))
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(log.f64 (exp.f64 (hypot.f64 x x)))
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3))
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(exp.f64 (log.f64 (hypot.f64 x x)))
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(log1p.f64 (expm1.f64 (hypot.f64 x x)))
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)

eval9.0ms (0.5%)

Compiler: Compiled 662 to 207 computations (68.7% saved)

prune6.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	48	2	50
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	3	51

Error

0.0b

Counts

51 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
✓	0.0b	(hypot.f64 x x)
▶	1.4b	(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (cbrt.f64 (sqrt.f64 (hypot.f64 x x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (cbrt.f64 (sqrt.f64 (hypot.f64 x x)))))

Status

Error

Program

▶

0.5b

(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)

✓

0.0b

(hypot.f64 x x)

▶

1.4b

(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (cbrt.f64 (sqrt.f64 (hypot.f64 x x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (cbrt.f64 (sqrt.f64 (hypot.f64 x x)))))

Compiler

Compiled 39 to 21 computations (46.2% saved)

localize23.0ms (1.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)
✓	0.5b	(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (cbrt.f64 (sqrt.f64 (hypot.f64 x x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (cbrt.f64 (sqrt.f64 (hypot.f64 x x)))))
✓	0.5b	(cbrt.f64 (hypot.f64 x x))
✓	0.6b	(cbrt.f64 (sqrt.f64 (hypot.f64 x x)))

Compiler

Compiled 72 to 24 computations (66.7% saved)

series47.0ms (2.8%)

Counts

4 → 24

Calls

12 calls:

Time	Variable		Point	Expression
28.0ms	x	@	0	(cbrt.f64 (sqrt.f64 (hypot.f64 x x)))
9.0ms	x	@	-inf	(cbrt.f64 (sqrt.f64 (hypot.f64 x x)))
6.0ms	x	@	inf	(cbrt.f64 (sqrt.f64 (hypot.f64 x x)))
1.0ms	x	@	0	(cbrt.f64 (hypot.f64 x x))
1.0ms	x	@	0	(pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)

rewrite74.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1646×	`add-sqr-sqrt`
1624×	`*-un-lft-identity`
1510×	`add-cube-cbrt`
1492×	`add-cbrt-cube`
218×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	80
1	257	48
2	2774	48

Stop Event

1×	node limit

Counts

4 → 96

Calls

Call 1

Inputs
(cbrt.f64 (sqrt.f64 (hypot.f64 x x)))
(cbrt.f64 (hypot.f64 x x))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (cbrt.f64 (sqrt.f64 (hypot.f64 x x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (cbrt.f64 (sqrt.f64 (hypot.f64 x x)))))
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 x x) 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (hypot.f64 x x) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (hypot.f64 x x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (hypot.f64 x x)) 1/6) (pow.f64 (sqrt.f64 (hypot.f64 x x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (pow.f64 (hypot.f64 x x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (hypot.f64 x x) 1/6)) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 2)) (sqrt.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (pow.f64 (hypot.f64 x x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (hypot.f64 x x) 1/4) 1/3) (pow.f64 (pow.f64 (hypot.f64 x x) 1/4) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x x) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 x x) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (hypot.f64 x x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (hypot.f64 x x)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x x) 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (hypot.f64 x x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (hypot.f64 x x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 x x) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 x x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (hypot.f64 x x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (hypot.f64 x x) 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 x x) 1/6)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (hypot.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (hypot.f64 x x) 1/6) (pow.f64 (hypot.f64 x x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (hypot.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (hypot.f64 x x) 1/4) (pow.f64 (sqrt.f64 (hypot.f64 x x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (hypot.f64 x x)) 1/6) (pow.f64 (hypot.f64 x x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (.f64 (cbrt.f64 (pow.f64 (hypot.f64 x x) 1/6)) (pow.f64 (hypot.f64 x x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 2) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (cbrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x)))) (cbrt.f64 (pow.f64 (hypot.f64 x x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (hypot.f64 x x) 1/6) (cbrt.f64 (cbrt.f64 (hypot.f64 x x)))) (cbrt.f64 (pow.f64 (hypot.f64 x x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (cbrt.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 4)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 x x) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (hypot.f64 x x)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (+.f64 x x)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (hypot.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (hypot.f64 x x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (hypot.f64 x x)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (hypot.f64 x x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (+.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 x (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 x x)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (hypot.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 x x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (hypot.f64 x x) 1/6) (sqrt.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (hypot.f64 x x)) (pow.f64 (hypot.f64 x x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (hypot.f64 x x)) 1/6) (.f64 (pow.f64 (sqrt.f64 (hypot.f64 x x)) 1/6) (sqrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (.f64 (cbrt.f64 (pow.f64 (hypot.f64 x x) 1/6)) (sqrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 2) (.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (hypot.f64 x x) 1/6) (pow.f64 (hypot.f64 x x) 1/4)) (pow.f64 (hypot.f64 x x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (hypot.f64 x x)) (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 2)) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 x (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2 (log.f64 (cbrt.f64 (hypot.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (pow.f64 (hypot.f64 x x) 1/6)) (log.f64 (sqrt.f64 (hypot.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 2 (log.f64 (cbrt.f64 (hypot.f64 x x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)))))))

simplify72.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

710×	`distribute-lft-in`
694×	`distribute-rgt-in`
646×	`sqr-pow`
646×	`*-commutative`
630×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	195	1946
1	394	1920
2	1421	1828
3	4752	1828

Stop Event

1×	node limit

Counts

120 → 120

Calls

Call 1

Inputs
(exp.f64 (*.f64 1/6 (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 x))))
(exp.f64 (*.f64 1/6 (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 x))))
(exp.f64 (*.f64 1/6 (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 x))))
(exp.f64 (*.f64 1/6 (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 x))))
(exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (sqrt.f64 2)))))
(exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (sqrt.f64 2)))))
(exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (sqrt.f64 2)))))
(exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (sqrt.f64 2)))))
(exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (sqrt.f64 2)))))
(exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (sqrt.f64 2)))))
(exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (sqrt.f64 2)))))
(exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (sqrt.f64 2)))))
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 x x) 1/6))) 1)
(*.f64 (pow.f64 (hypot.f64 x x) 1/6) 1)
(*.f64 1 (pow.f64 (hypot.f64 x x) 1/6))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 x x)) 1/6) (pow.f64 (sqrt.f64 (hypot.f64 x x)) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (pow.f64 (hypot.f64 x x) 1/6)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 x x) 1/6)) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 2)) (sqrt.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x)))))
(*.f64 (pow.f64 1 1/3) (pow.f64 (hypot.f64 x x) 1/6))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 x x) 1/4) 1/3) (pow.f64 (pow.f64 (hypot.f64 x x) 1/4) 1/3))
(pow.f64 (hypot.f64 x x) 1/6)
(pow.f64 (pow.f64 (hypot.f64 x x) 1/6) 1)
(pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) 1/4)
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 1/2)
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 1/3)
(pow.f64 (pow.f64 (sqrt.f64 (hypot.f64 x x)) 1/6) 2)
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x x) 1/6)) 3)
(sqrt.f64 (cbrt.f64 (hypot.f64 x x)))
(fabs.f64 (pow.f64 (hypot.f64 x x) 1/6))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 x x) 1/6)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 x x) 1/6))))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 x x) 1/6)))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 x x) 1/6)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x x) 1/6)) 1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 1/3))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 x x) 1/6)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (hypot.f64 x x)))) 1)
(*.f64 (pow.f64 (hypot.f64 x x) 1/6) (pow.f64 (hypot.f64 x x) 1/6))
(*.f64 (cbrt.f64 (hypot.f64 x x)) 1)
(*.f64 1 (cbrt.f64 (hypot.f64 x x)))
(*.f64 (pow.f64 (hypot.f64 x x) 1/4) (pow.f64 (sqrt.f64 (hypot.f64 x x)) 1/6))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 x x)) 1/6) (pow.f64 (hypot.f64 x x) 1/4))
(*.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (.f64 (cbrt.f64 (pow.f64 (hypot.f64 x x) 1/6)) (pow.f64 (hypot.f64 x x) 1/6)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 2) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 2)))
(.f64 (cbrt.f64 (.f64 (cbrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x)))) (cbrt.f64 (pow.f64 (hypot.f64 x x) 1/6)))
(.f64 (.f64 (pow.f64 (hypot.f64 x x) 1/6) (cbrt.f64 (cbrt.f64 (hypot.f64 x x)))) (cbrt.f64 (pow.f64 (hypot.f64 x x) 1/6)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (hypot.f64 x x)))
(*.f64 (pow.f64 1 1/2) (cbrt.f64 (hypot.f64 x x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 4)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 2) 1/2))
(pow.f64 (hypot.f64 x x) 1/3)
(pow.f64 (pow.f64 (hypot.f64 x x) 1/6) 2)
(pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) 1/2)
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 1)
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2/3)
(pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 3)
(pow.f64 (*.f64 x (+.f64 x x)) 1/6)
(sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))
(fabs.f64 (cbrt.f64 (hypot.f64 x x)))
(log.f64 (exp.f64 (cbrt.f64 (hypot.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (hypot.f64 x x)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (hypot.f64 x x))))
(exp.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x x)) 1/3))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (hypot.f64 x x)))) 1/2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (hypot.f64 x x))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x x))) 1)
(pow.f64 (hypot.f64 x x) 1)
(pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) 3/2)
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
(pow.f64 (*.f64 x (+.f64 x x)) 1/2)
(pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/3)
(sqrt.f64 (*.f64 x (+.f64 x x)))
(log.f64 (exp.f64 (hypot.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 x x))))
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3))
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(exp.f64 (log.f64 (hypot.f64 x x)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x x)) 1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 2))
(log1p.f64 (expm1.f64 (hypot.f64 x x)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))) 1)
(*.f64 (pow.f64 (hypot.f64 x x) 1/6) (sqrt.f64 (hypot.f64 x x)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) 1)
(*.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (hypot.f64 x x)))
(*.f64 (sqrt.f64 (hypot.f64 x x)) (pow.f64 (hypot.f64 x x) 1/6))
(*.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))
(.f64 (pow.f64 (sqrt.f64 (hypot.f64 x x)) 1/6) (.f64 (pow.f64 (sqrt.f64 (hypot.f64 x x)) 1/6) (sqrt.f64 (hypot.f64 x x))))
(.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (.f64 (cbrt.f64 (pow.f64 (hypot.f64 x x) 1/6)) (sqrt.f64 (hypot.f64 x x))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 4)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 2) (.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (hypot.f64 x x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 2))
(.f64 (.f64 (pow.f64 (hypot.f64 x x) 1/6) (pow.f64 (hypot.f64 x x) 1/4)) (pow.f64 (hypot.f64 x x) 1/4))
(.f64 (.f64 (cbrt.f64 (hypot.f64 x x)) (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 2)) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))
(sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))))
(cbrt.f64 (*.f64 x (+.f64 x x)))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)))
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (hypot.f64 x x)))))
(exp.f64 (+.f64 (log.f64 (pow.f64 (hypot.f64 x x) 1/6)) (log.f64 (sqrt.f64 (hypot.f64 x x)))))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (hypot.f64 x x)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)))

Outputs
(exp.f64 (*.f64 1/6 (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 x))))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 2) 1/6) (pow.f64 x 1/6))
(exp.f64 (*.f64 1/6 (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 x))))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 2) 1/6) (pow.f64 x 1/6))
(exp.f64 (*.f64 1/6 (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 x))))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 2) 1/6) (pow.f64 x 1/6))
(exp.f64 (*.f64 1/6 (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 x))))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 2) 1/6) (pow.f64 x 1/6))
(exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (sqrt.f64 2)))))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 2) 1/6) (pow.f64 x 1/6))
(exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (sqrt.f64 2)))))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 2) 1/6) (pow.f64 x 1/6))
(exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (sqrt.f64 2)))))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 2) 1/6) (pow.f64 x 1/6))
(exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (sqrt.f64 2)))))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 2) 1/6) (pow.f64 x 1/6))
(exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (sqrt.f64 2)))))
(pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (sqrt.f64 2))))
(pow.f64 (exp.f64 1/6) (-.f64 (log.f64 (sqrt.f64 2)) (log.f64 (/.f64 -1 x))))
(*.f64 (pow.f64 (/.f64 -1 x) -1/6) (pow.f64 (sqrt.f64 2) 1/6))
(exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (sqrt.f64 2)))))
(pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (sqrt.f64 2))))
(pow.f64 (exp.f64 1/6) (-.f64 (log.f64 (sqrt.f64 2)) (log.f64 (/.f64 -1 x))))
(*.f64 (pow.f64 (/.f64 -1 x) -1/6) (pow.f64 (sqrt.f64 2) 1/6))
(exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (sqrt.f64 2)))))
(pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (sqrt.f64 2))))
(pow.f64 (exp.f64 1/6) (-.f64 (log.f64 (sqrt.f64 2)) (log.f64 (/.f64 -1 x))))
(*.f64 (pow.f64 (/.f64 -1 x) -1/6) (pow.f64 (sqrt.f64 2) 1/6))
(exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (sqrt.f64 2)))))
(pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (sqrt.f64 2))))
(pow.f64 (exp.f64 1/6) (-.f64 (log.f64 (sqrt.f64 2)) (log.f64 (/.f64 -1 x))))
(*.f64 (pow.f64 (/.f64 -1 x) -1/6) (pow.f64 (sqrt.f64 2) 1/6))
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(.f64 -1 (.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 x x) 1/6))) 1)
(pow.f64 (hypot.f64 x x) 1/6)
(*.f64 (pow.f64 (hypot.f64 x x) 1/6) 1)
(pow.f64 (hypot.f64 x x) 1/6)
(*.f64 1 (pow.f64 (hypot.f64 x x) 1/6))
(pow.f64 (hypot.f64 x x) 1/6)
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 x x)) 1/6) (pow.f64 (sqrt.f64 (hypot.f64 x x)) 1/6))
(pow.f64 (hypot.f64 x x) 1/6)
(*.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (pow.f64 (hypot.f64 x x) 1/6)))
(pow.f64 (hypot.f64 x x) 1/6)
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 x x) 1/6)) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))
(pow.f64 (hypot.f64 x x) 1/6)
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 2)) (sqrt.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x)))))
(*.f64 (fabs.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x)))))
(*.f64 (pow.f64 1 1/3) (pow.f64 (hypot.f64 x x) 1/6))
(pow.f64 (hypot.f64 x x) 1/6)
(*.f64 (pow.f64 (pow.f64 (hypot.f64 x x) 1/4) 1/3) (pow.f64 (pow.f64 (hypot.f64 x x) 1/4) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 x x) 1/4)) (cbrt.f64 (pow.f64 (hypot.f64 x x) 1/4)))
(pow.f64 (hypot.f64 x x) 1/6)
(pow.f64 (pow.f64 (hypot.f64 x x) 1/6) 1)
(pow.f64 (hypot.f64 x x) 1/6)
(pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) 1/4)
(pow.f64 (hypot.f64 x x) 1/6)
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 1/2)
(pow.f64 (hypot.f64 x x) 1/6)
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 1/3)
(pow.f64 (hypot.f64 x x) 1/6)
(pow.f64 (pow.f64 (sqrt.f64 (hypot.f64 x x)) 1/6) 2)
(pow.f64 (hypot.f64 x x) 1/6)
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x x) 1/6)) 3)
(pow.f64 (hypot.f64 x x) 1/6)
(sqrt.f64 (cbrt.f64 (hypot.f64 x x)))
(pow.f64 (hypot.f64 x x) 1/6)
(fabs.f64 (pow.f64 (hypot.f64 x x) 1/6))
(pow.f64 (hypot.f64 x x) 1/6)
(log.f64 (exp.f64 (pow.f64 (hypot.f64 x x) 1/6)))
(pow.f64 (hypot.f64 x x) 1/6)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 x x) 1/6))))
(pow.f64 (hypot.f64 x x) 1/6)
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 x x) 1/6)))
(pow.f64 (hypot.f64 x x) 1/6)
(exp.f64 (log.f64 (pow.f64 (hypot.f64 x x) 1/6)))
(pow.f64 (hypot.f64 x x) 1/6)
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x x) 1/6)) 1))
(pow.f64 (hypot.f64 x x) 1/6)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 1/3))
(pow.f64 (hypot.f64 x x) 1/6)
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 x x) 1/6)))
(pow.f64 (hypot.f64 x x) 1/6)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (hypot.f64 x x)))) 1)
(cbrt.f64 (hypot.f64 x x))
(*.f64 (pow.f64 (hypot.f64 x x) 1/6) (pow.f64 (hypot.f64 x x) 1/6))
(cbrt.f64 (hypot.f64 x x))
(*.f64 (cbrt.f64 (hypot.f64 x x)) 1)
(cbrt.f64 (hypot.f64 x x))
(*.f64 1 (cbrt.f64 (hypot.f64 x x)))
(cbrt.f64 (hypot.f64 x x))
(*.f64 (pow.f64 (hypot.f64 x x) 1/4) (pow.f64 (sqrt.f64 (hypot.f64 x x)) 1/6))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 x x)) 1/6) (pow.f64 (hypot.f64 x x) 1/4))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 x x)) 1/6) (pow.f64 (hypot.f64 x x) 1/4))
(*.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 2))
(cbrt.f64 (hypot.f64 x x))
(.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (.f64 (cbrt.f64 (pow.f64 (hypot.f64 x x) 1/6)) (pow.f64 (hypot.f64 x x) 1/6)))
(cbrt.f64 (hypot.f64 x x))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 2) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))
(cbrt.f64 (hypot.f64 x x))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 2)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 4))))
(*.f64 (fabs.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x)))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 4))))
(*.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 4))))
(*.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 4)))
(.f64 (cbrt.f64 (.f64 (cbrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x)))) (cbrt.f64 (pow.f64 (hypot.f64 x x) 1/6)))
(.f64 (cbrt.f64 (pow.f64 (hypot.f64 x x) 1/6)) (cbrt.f64 (.f64 (sqrt.f64 (hypot.f64 x x)) (cbrt.f64 (hypot.f64 x x)))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 x x) 1/6)) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 x x) 1/6) 5)))
(.f64 (.f64 (pow.f64 (hypot.f64 x x) 1/6) (cbrt.f64 (cbrt.f64 (hypot.f64 x x)))) (cbrt.f64 (pow.f64 (hypot.f64 x x) 1/6)))
(cbrt.f64 (hypot.f64 x x))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (hypot.f64 x x)))
(cbrt.f64 (hypot.f64 x x))
(*.f64 (pow.f64 1 1/2) (cbrt.f64 (hypot.f64 x x)))
(cbrt.f64 (hypot.f64 x x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 4)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 2) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 4))))
(*.f64 (fabs.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x)))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 4))))
(*.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 4))))
(*.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 4)))
(pow.f64 (hypot.f64 x x) 1/3)
(cbrt.f64 (hypot.f64 x x))
(pow.f64 (pow.f64 (hypot.f64 x x) 1/6) 2)
(cbrt.f64 (hypot.f64 x x))
(pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) 1/2)
(cbrt.f64 (hypot.f64 x x))
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 1)
(cbrt.f64 (hypot.f64 x x))
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2/3)
(cbrt.f64 (hypot.f64 x x))
(pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 3)
(cbrt.f64 (hypot.f64 x x))
(pow.f64 (*.f64 x (+.f64 x x)) 1/6)
(pow.f64 (.f64 2 (.f64 x x)) 1/6)
(sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))
(cbrt.f64 (hypot.f64 x x))
(fabs.f64 (cbrt.f64 (hypot.f64 x x)))
(cbrt.f64 (hypot.f64 x x))
(log.f64 (exp.f64 (cbrt.f64 (hypot.f64 x x))))
(cbrt.f64 (hypot.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (hypot.f64 x x)))))
(cbrt.f64 (hypot.f64 x x))
(expm1.f64 (log1p.f64 (cbrt.f64 (hypot.f64 x x))))
(cbrt.f64 (hypot.f64 x x))
(exp.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))))
(cbrt.f64 (hypot.f64 x x))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x x)) 1/3))
(cbrt.f64 (hypot.f64 x x))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (hypot.f64 x x)))) 1/2))
(cbrt.f64 (hypot.f64 x x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 1))
(cbrt.f64 (hypot.f64 x x))
(log1p.f64 (expm1.f64 (cbrt.f64 (hypot.f64 x x))))
(cbrt.f64 (hypot.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x x))) 1)
(hypot.f64 x x)
(pow.f64 (hypot.f64 x x) 1)
(hypot.f64 x x)
(pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) 3/2)
(hypot.f64 x x)
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)
(hypot.f64 x x)
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
(hypot.f64 x x)
(pow.f64 (*.f64 x (+.f64 x x)) 1/2)
(hypot.f64 x x)
(pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/3)
(hypot.f64 x x)
(sqrt.f64 (*.f64 x (+.f64 x x)))
(hypot.f64 x x)
(log.f64 (exp.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 x x))))
(hypot.f64 x x)
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3))
(hypot.f64 x x)
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(hypot.f64 x x)
(exp.f64 (log.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(exp.f64 (*.f64 (log.f64 (hypot.f64 x x)) 1))
(hypot.f64 x x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 2))
(hypot.f64 x x)
(log1p.f64 (expm1.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))) 1)
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)
(*.f64 (pow.f64 (hypot.f64 x x) 1/6) (sqrt.f64 (hypot.f64 x x)))
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) 1)
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)
(*.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (hypot.f64 x x)))
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)
(*.f64 (sqrt.f64 (hypot.f64 x x)) (pow.f64 (hypot.f64 x x) 1/6))
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)
(*.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)
(.f64 (pow.f64 (sqrt.f64 (hypot.f64 x x)) 1/6) (.f64 (pow.f64 (sqrt.f64 (hypot.f64 x x)) 1/6) (sqrt.f64 (hypot.f64 x x))))
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)
(.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (.f64 (cbrt.f64 (pow.f64 (hypot.f64 x x) 1/6)) (sqrt.f64 (hypot.f64 x x))))
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 4)))
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 2) (.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (hypot.f64 x x))))
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 2))
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)
(.f64 (.f64 (pow.f64 (hypot.f64 x x) 1/6) (pow.f64 (hypot.f64 x x) 1/4)) (pow.f64 (hypot.f64 x x) 1/4))
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)
(.f64 (.f64 (cbrt.f64 (hypot.f64 x x)) (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 2)) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 4))
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)))
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))))
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)
(cbrt.f64 (*.f64 x (+.f64 x x)))
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)))
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (hypot.f64 x x)))))
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)
(exp.f64 (+.f64 (log.f64 (pow.f64 (hypot.f64 x x) 1/6)) (log.f64 (sqrt.f64 (hypot.f64 x x)))))
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (hypot.f64 x x)))) 1))
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)))
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)

localize6.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(hypot.f64 x x)
✓	0.1b	(sqrt.f64 (hypot.f64 x x))
✓	0.5b	(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)

Compiler

Compiled 16 to 6 computations (62.5% saved)

series7.0ms (0.4%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
1.0ms	x	@	inf	(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
1.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
0.0ms	x	@	0	(sqrt.f64 (hypot.f64 x x))
0.0ms	x	@	inf	(sqrt.f64 (hypot.f64 x x))

rewrite51.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

1198×	`add-sqr-sqrt`
1182×	`*-un-lft-identity`
1116×	`pow1`
1096×	`add-cube-cbrt`
1086×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	162	18
2	1556	18

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
(sqrt.f64 (hypot.f64 x x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (hypot.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 x x) 1/4) (*.f64 (pow.f64 (hypot.f64 x x) 1/4) (sqrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 x x)) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 x x)) (*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) (sqrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (cbrt.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (hypot.f64 x x)) (pow.f64 (hypot.f64 x x) 1/4)) (pow.f64 (hypot.f64 x x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (hypot.f64 x x)) (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (sqrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 x x)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 x x)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (hypot.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 x x) 1/4) (pow.f64 (hypot.f64 x x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (sqrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) (cbrt.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (sqrt.f64 (cbrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) 1/2) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (hypot.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 x x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (*.f64 x x)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 x x) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 x x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (hypot.f64 x x))))))))

simplify52.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

778×	`associate-/l*`
728×	`*-commutative`
726×	`distribute-lft-out`
702×	`unswap-sqr`
676×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	77	800
1	148	584
2	578	368
3	2146	368
4	6123	368

Stop Event

1×	node limit

Counts

38 → 45

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (hypot.f64 x x)) 1)
(*.f64 (hypot.f64 x x) 1)
(*.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x)))
(*.f64 1 (hypot.f64 x x))
(.f64 (pow.f64 (hypot.f64 x x) 1/4) (.f64 (pow.f64 (hypot.f64 x x) 1/4) (sqrt.f64 (hypot.f64 x x))))
(*.f64 (cbrt.f64 (hypot.f64 x x)) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))
(.f64 (cbrt.f64 (hypot.f64 x x)) (.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) (sqrt.f64 (hypot.f64 x x))))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (cbrt.f64 (hypot.f64 x x)))
(.f64 (.f64 (sqrt.f64 (hypot.f64 x x)) (pow.f64 (hypot.f64 x x) 1/4)) (pow.f64 (hypot.f64 x x) 1/4))
(.f64 (.f64 (sqrt.f64 (hypot.f64 x x)) (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (sqrt.f64 (hypot.f64 x x))))
(sqrt.f64 (.f64 2 (.f64 x x)))
(log.f64 (exp.f64 (hypot.f64 x x)))
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3))
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(exp.f64 (log.f64 (hypot.f64 x x)))
(log1p.f64 (expm1.f64 (hypot.f64 x x)))
(-.f64 (+.f64 1 (sqrt.f64 (hypot.f64 x x))) 1)
(*.f64 (sqrt.f64 (hypot.f64 x x)) 1)
(*.f64 1 (sqrt.f64 (hypot.f64 x x)))
(*.f64 (pow.f64 (hypot.f64 x x) 1/4) (pow.f64 (hypot.f64 x x) 1/4))
(*.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (sqrt.f64 (hypot.f64 x x))))
(*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) (cbrt.f64 (hypot.f64 x x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (sqrt.f64 (cbrt.f64 (hypot.f64 x x))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (hypot.f64 x x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) 1/2) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 1/2))
(pow.f64 (hypot.f64 x x) 1/2)
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 1)
(pow.f64 (pow.f64 (hypot.f64 x x) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) 3)
(pow.f64 (.f64 2 (.f64 x x)) 1/4)
(pow.f64 (pow.f64 (hypot.f64 x x) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (hypot.f64 x x)))
(log.f64 (exp.f64 (sqrt.f64 (hypot.f64 x x))))
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (hypot.f64 x x))))
(exp.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (hypot.f64 x x))))

Outputs
(-.f64 (+.f64 1 (hypot.f64 x x)) 1)
(+.f64 (+.f64 1 (hypot.f64 x x)) -1)
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(*.f64 (hypot.f64 x x) 1)
(+.f64 (+.f64 1 (hypot.f64 x x)) -1)
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(*.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x)))
(+.f64 (+.f64 1 (hypot.f64 x x)) -1)
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(*.f64 1 (hypot.f64 x x))
(+.f64 (+.f64 1 (hypot.f64 x x)) -1)
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(.f64 (pow.f64 (hypot.f64 x x) 1/4) (.f64 (pow.f64 (hypot.f64 x x) 1/4) (sqrt.f64 (hypot.f64 x x))))
(+.f64 (+.f64 1 (hypot.f64 x x)) -1)
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(*.f64 (cbrt.f64 (hypot.f64 x x)) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))
(+.f64 (+.f64 1 (hypot.f64 x x)) -1)
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(.f64 (cbrt.f64 (hypot.f64 x x)) (.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) (sqrt.f64 (hypot.f64 x x))))
(+.f64 (+.f64 1 (hypot.f64 x x)) -1)
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (cbrt.f64 (hypot.f64 x x)))
(+.f64 (+.f64 1 (hypot.f64 x x)) -1)
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(.f64 (.f64 (sqrt.f64 (hypot.f64 x x)) (pow.f64 (hypot.f64 x x) 1/4)) (pow.f64 (hypot.f64 x x) 1/4))
(+.f64 (+.f64 1 (hypot.f64 x x)) -1)
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(.f64 (.f64 (sqrt.f64 (hypot.f64 x x)) (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (sqrt.f64 (hypot.f64 x x))))
(+.f64 (+.f64 1 (hypot.f64 x x)) -1)
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(sqrt.f64 (.f64 2 (.f64 x x)))
(sqrt.f64 (.f64 x (.f64 x 2)))
(log.f64 (exp.f64 (hypot.f64 x x)))
(+.f64 (+.f64 1 (hypot.f64 x x)) -1)
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3))
(+.f64 (+.f64 1 (hypot.f64 x x)) -1)
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(+.f64 (+.f64 1 (hypot.f64 x x)) -1)
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(hypot.f64 x x)
(+.f64 (+.f64 1 (hypot.f64 x x)) -1)
(+.f64 (hypot.f64 x x) 0)
(exp.f64 (log.f64 (hypot.f64 x x)))
(+.f64 (+.f64 1 (hypot.f64 x x)) -1)
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(log1p.f64 (expm1.f64 (hypot.f64 x x)))
(+.f64 (+.f64 1 (hypot.f64 x x)) -1)
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(-.f64 (+.f64 1 (sqrt.f64 (hypot.f64 x x))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (hypot.f64 x x)) 1))
(+.f64 (sqrt.f64 (hypot.f64 x x)) 0)
(sqrt.f64 (hypot.f64 x x))
(*.f64 (sqrt.f64 (hypot.f64 x x)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (hypot.f64 x x)) 1))
(+.f64 (sqrt.f64 (hypot.f64 x x)) 0)
(sqrt.f64 (hypot.f64 x x))
(*.f64 1 (sqrt.f64 (hypot.f64 x x)))
(+.f64 1 (-.f64 (sqrt.f64 (hypot.f64 x x)) 1))
(+.f64 (sqrt.f64 (hypot.f64 x x)) 0)
(sqrt.f64 (hypot.f64 x x))
(*.f64 (pow.f64 (hypot.f64 x x) 1/4) (pow.f64 (hypot.f64 x x) 1/4))
(+.f64 1 (-.f64 (sqrt.f64 (hypot.f64 x x)) 1))
(+.f64 (sqrt.f64 (hypot.f64 x x)) 0)
(sqrt.f64 (hypot.f64 x x))
(*.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (sqrt.f64 (hypot.f64 x x))))
(+.f64 1 (-.f64 (sqrt.f64 (hypot.f64 x x)) 1))
(+.f64 (sqrt.f64 (hypot.f64 x x)) 0)
(sqrt.f64 (hypot.f64 x x))
(*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) (cbrt.f64 (hypot.f64 x x)))
(+.f64 1 (-.f64 (sqrt.f64 (hypot.f64 x x)) 1))
(+.f64 (sqrt.f64 (hypot.f64 x x)) 0)
(sqrt.f64 (hypot.f64 x x))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (sqrt.f64 (cbrt.f64 (hypot.f64 x x))))
(+.f64 1 (-.f64 (sqrt.f64 (hypot.f64 x x)) 1))
(+.f64 (sqrt.f64 (hypot.f64 x x)) 0)
(sqrt.f64 (hypot.f64 x x))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (hypot.f64 x x)))
(+.f64 1 (-.f64 (sqrt.f64 (hypot.f64 x x)) 1))
(+.f64 (sqrt.f64 (hypot.f64 x x)) 0)
(sqrt.f64 (hypot.f64 x x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) 1/2) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 1/2))
(+.f64 1 (-.f64 (sqrt.f64 (hypot.f64 x x)) 1))
(+.f64 (sqrt.f64 (hypot.f64 x x)) 0)
(sqrt.f64 (hypot.f64 x x))
(pow.f64 (hypot.f64 x x) 1/2)
(+.f64 1 (-.f64 (sqrt.f64 (hypot.f64 x x)) 1))
(+.f64 (sqrt.f64 (hypot.f64 x x)) 0)
(sqrt.f64 (hypot.f64 x x))
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (hypot.f64 x x)) 1))
(+.f64 (sqrt.f64 (hypot.f64 x x)) 0)
(sqrt.f64 (hypot.f64 x x))
(pow.f64 (pow.f64 (hypot.f64 x x) 1/4) 2)
(+.f64 1 (-.f64 (sqrt.f64 (hypot.f64 x x)) 1))
(+.f64 (sqrt.f64 (hypot.f64 x x)) 0)
(sqrt.f64 (hypot.f64 x x))
(pow.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) 3)
(+.f64 1 (-.f64 (sqrt.f64 (hypot.f64 x x)) 1))
(+.f64 (sqrt.f64 (hypot.f64 x x)) 0)
(sqrt.f64 (hypot.f64 x x))
(pow.f64 (.f64 2 (.f64 x x)) 1/4)
(pow.f64 (.f64 x (.f64 x 2)) 1/4)
(pow.f64 (pow.f64 (hypot.f64 x x) 3/2) 1/3)
(+.f64 1 (-.f64 (sqrt.f64 (hypot.f64 x x)) 1))
(+.f64 (sqrt.f64 (hypot.f64 x x)) 0)
(sqrt.f64 (hypot.f64 x x))
(fabs.f64 (sqrt.f64 (hypot.f64 x x)))
(+.f64 1 (-.f64 (sqrt.f64 (hypot.f64 x x)) 1))
(+.f64 (sqrt.f64 (hypot.f64 x x)) 0)
(sqrt.f64 (hypot.f64 x x))
(log.f64 (exp.f64 (sqrt.f64 (hypot.f64 x x))))
(+.f64 1 (-.f64 (sqrt.f64 (hypot.f64 x x)) 1))
(+.f64 (sqrt.f64 (hypot.f64 x x)) 0)
(sqrt.f64 (hypot.f64 x x))
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3/2))
(+.f64 1 (-.f64 (sqrt.f64 (hypot.f64 x x)) 1))
(+.f64 (sqrt.f64 (hypot.f64 x x)) 0)
(sqrt.f64 (hypot.f64 x x))
(expm1.f64 (log1p.f64 (sqrt.f64 (hypot.f64 x x))))
(+.f64 1 (-.f64 (sqrt.f64 (hypot.f64 x x)) 1))
(+.f64 (sqrt.f64 (hypot.f64 x x)) 0)
(sqrt.f64 (hypot.f64 x x))
(exp.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))))
(+.f64 1 (-.f64 (sqrt.f64 (hypot.f64 x x)) 1))
(+.f64 (sqrt.f64 (hypot.f64 x x)) 0)
(sqrt.f64 (hypot.f64 x x))
(log1p.f64 (expm1.f64 (sqrt.f64 (hypot.f64 x x))))
(+.f64 1 (-.f64 (sqrt.f64 (hypot.f64 x x)) 1))
(+.f64 (sqrt.f64 (hypot.f64 x x)) 0)
(sqrt.f64 (hypot.f64 x x))

eval106.0ms (6.3%)

Compiler: Compiled 7716 to 3122 computations (59.5% saved)

prune42.0ms (2.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	313	1	314
Fresh	0	0	0
Picked	0	1	1
Done	1	1	2
Total	314	3	317

Error

0.0b

Counts

317 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.4b	(pow.f64 (*.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (sqrt.f64 (hypot.f64 x x)))) 2)
✓	0.5b	(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
✓	0.0b	(hypot.f64 x x)

Compiler

Compiled 24 to 15 computations (37.5% saved)

localize11.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (sqrt.f64 (hypot.f64 x x))))
✓	0.5b	(pow.f64 (*.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (sqrt.f64 (hypot.f64 x x)))) 2)
	0.5b	(cbrt.f64 (hypot.f64 x x))
	0.6b	(cbrt.f64 (sqrt.f64 (hypot.f64 x x)))

Compiler

Compiled 41 to 9 computations (78% saved)

series2.0ms (0.1%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(pow.f64 (*.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (sqrt.f64 (hypot.f64 x x)))) 2)
0.0ms	x	@	-inf	(pow.f64 (*.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (sqrt.f64 (hypot.f64 x x)))) 2)
0.0ms	x	@	inf	(pow.f64 (*.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (sqrt.f64 (hypot.f64 x x)))) 2)
0.0ms	x	@	-inf	(*.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (sqrt.f64 (hypot.f64 x x))))
0.0ms	x	@	0	(*.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (sqrt.f64 (hypot.f64 x x))))

rewrite54.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1454×	`add-sqr-sqrt`
1432×	`*-un-lft-identity`
1336×	`add-cube-cbrt`
1322×	`add-cbrt-cube`
1310×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	18
1	220	18
2	2053	18

Stop Event

1×	node limit

Counts

2 → 37

Calls

Call 1

Inputs
(pow.f64 (*.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (sqrt.f64 (hypot.f64 x x)))) 2)
(*.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (sqrt.f64 (hypot.f64 x x))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (hypot.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (*.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 x x) 1/6) (*.f64 (cbrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 x x) 1/4) (*.f64 (pow.f64 (hypot.f64 x x) 1/4) (sqrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))) (cbrt.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (hypot.f64 x x)) (pow.f64 (hypot.f64 x x) 1/4)) (pow.f64 (hypot.f64 x x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (hypot.f64 x x)) (cbrt.f64 (hypot.f64 x x))) (pow.f64 (hypot.f64 x x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))) 1) (cbrt.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))) (pow.f64 (hypot.f64 x x) 1/6)) (pow.f64 (hypot.f64 x x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))) (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 2)) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 x x)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 x x)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (hypot.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 x x) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (hypot.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 x x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (*.f64 x x)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 x x) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (hypot.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 x x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 x x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (hypot.f64 x x))))))))

simplify58.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

940×	`associate-r`
820×	`*-commutative`
736×	`associate-l`
638×	`associate-/l*`
618×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	79	879
1	156	717
2	499	535
3	2426	535
4	5536	535

Stop Event

1×	node limit

Counts

37 → 46

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (hypot.f64 x x)) 1)
(*.f64 (hypot.f64 x x) 1)
(.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (.f64 2 (*.f64 x x))))
(.f64 (pow.f64 (hypot.f64 x x) 1/6) (.f64 (cbrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x))))
(*.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x)))
(*.f64 1 (hypot.f64 x x))
(.f64 (pow.f64 (hypot.f64 x x) 1/4) (.f64 (pow.f64 (hypot.f64 x x) 1/4) (sqrt.f64 (hypot.f64 x x))))
(.f64 (cbrt.f64 (.f64 2 (*.f64 x x))) (cbrt.f64 (hypot.f64 x x)))
(.f64 (.f64 (sqrt.f64 (hypot.f64 x x)) (pow.f64 (hypot.f64 x x) 1/4)) (pow.f64 (hypot.f64 x x) 1/4))
(.f64 (.f64 (sqrt.f64 (hypot.f64 x x)) (cbrt.f64 (hypot.f64 x x))) (pow.f64 (hypot.f64 x x) 1/6))
(.f64 (.f64 (cbrt.f64 (.f64 2 (.f64 x x))) 1) (cbrt.f64 (hypot.f64 x x)))
(.f64 (.f64 (cbrt.f64 (.f64 2 (.f64 x x))) (pow.f64 (hypot.f64 x x) 1/6)) (pow.f64 (hypot.f64 x x) 1/6))
(.f64 (.f64 (cbrt.f64 (.f64 2 (.f64 x x))) (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 2)) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))
(sqrt.f64 (.f64 2 (.f64 x x)))
(log.f64 (exp.f64 (hypot.f64 x x)))
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3))
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(exp.f64 (log.f64 (hypot.f64 x x)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x x)) 1))
(log1p.f64 (expm1.f64 (hypot.f64 x x)))
(-.f64 (+.f64 1 (sqrt.f64 (hypot.f64 x x))) 1)
(pow.f64 (hypot.f64 x x) 1/2)
(pow.f64 (pow.f64 (hypot.f64 x x) 1/6) 3)
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 1)
(pow.f64 (pow.f64 (hypot.f64 x x) 1/4) 2)
(pow.f64 (.f64 2 (.f64 x x)) 1/4)
(pow.f64 (pow.f64 (hypot.f64 x x) 3/2) 1/3)
(sqrt.f64 (hypot.f64 x x))
(fabs.f64 (sqrt.f64 (hypot.f64 x x)))
(log.f64 (exp.f64 (sqrt.f64 (hypot.f64 x x))))
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (hypot.f64 x x))))
(exp.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x x)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (hypot.f64 x x))))

Outputs
(-.f64 (+.f64 1 (hypot.f64 x x)) 1)
(+.f64 1 (-.f64 (hypot.f64 x x) 1))
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(*.f64 (hypot.f64 x x) 1)
(+.f64 1 (-.f64 (hypot.f64 x x) 1))
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (.f64 2 (*.f64 x x))))
(.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (.f64 x (*.f64 x 2))))
(.f64 (pow.f64 (hypot.f64 x x) 1/6) (.f64 (cbrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x))))
(.f64 (sqrt.f64 (hypot.f64 x x)) (.f64 (cbrt.f64 (hypot.f64 x x)) (pow.f64 (hypot.f64 x x) 1/6)))
(*.f64 (sqrt.f64 (hypot.f64 x x)) (pow.f64 (pow.f64 (hypot.f64 x x) 1/6) 3))
(*.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x)))
(+.f64 1 (-.f64 (hypot.f64 x x) 1))
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(*.f64 1 (hypot.f64 x x))
(+.f64 1 (-.f64 (hypot.f64 x x) 1))
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(.f64 (pow.f64 (hypot.f64 x x) 1/4) (.f64 (pow.f64 (hypot.f64 x x) 1/4) (sqrt.f64 (hypot.f64 x x))))
(+.f64 1 (-.f64 (hypot.f64 x x) 1))
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(.f64 (cbrt.f64 (.f64 2 (*.f64 x x))) (cbrt.f64 (hypot.f64 x x)))
(.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (.f64 2 (*.f64 x x))))
(.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (.f64 x (*.f64 x 2))))
(.f64 (.f64 (sqrt.f64 (hypot.f64 x x)) (pow.f64 (hypot.f64 x x) 1/4)) (pow.f64 (hypot.f64 x x) 1/4))
(+.f64 1 (-.f64 (hypot.f64 x x) 1))
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(.f64 (.f64 (sqrt.f64 (hypot.f64 x x)) (cbrt.f64 (hypot.f64 x x))) (pow.f64 (hypot.f64 x x) 1/6))
(.f64 (pow.f64 (hypot.f64 x x) 1/6) (.f64 (cbrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x))))
(.f64 (sqrt.f64 (hypot.f64 x x)) (.f64 (cbrt.f64 (hypot.f64 x x)) (pow.f64 (hypot.f64 x x) 1/6)))
(*.f64 (sqrt.f64 (hypot.f64 x x)) (pow.f64 (pow.f64 (hypot.f64 x x) 1/6) 3))
(.f64 (.f64 (cbrt.f64 (.f64 2 (.f64 x x))) 1) (cbrt.f64 (hypot.f64 x x)))
(.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (.f64 2 (*.f64 x x))))
(.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (.f64 x (*.f64 x 2))))
(.f64 (.f64 (cbrt.f64 (.f64 2 (.f64 x x))) (pow.f64 (hypot.f64 x x) 1/6)) (pow.f64 (hypot.f64 x x) 1/6))
(.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (.f64 2 (*.f64 x x))))
(.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (.f64 x (*.f64 x 2))))
(.f64 (.f64 (cbrt.f64 (.f64 2 (.f64 x x))) (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 2)) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))
(.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (.f64 2 (*.f64 x x))))
(.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (.f64 x (*.f64 x 2))))
(sqrt.f64 (.f64 2 (.f64 x x)))
(sqrt.f64 (.f64 x (.f64 x 2)))
(log.f64 (exp.f64 (hypot.f64 x x)))
(+.f64 1 (-.f64 (hypot.f64 x x) 1))
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3))
(+.f64 1 (-.f64 (hypot.f64 x x) 1))
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(+.f64 1 (-.f64 (hypot.f64 x x) 1))
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(hypot.f64 x x)
(+.f64 1 (-.f64 (hypot.f64 x x) 1))
(+.f64 (hypot.f64 x x) 0)
(exp.f64 (log.f64 (hypot.f64 x x)))
(+.f64 1 (-.f64 (hypot.f64 x x) 1))
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(exp.f64 (*.f64 (log.f64 (hypot.f64 x x)) 1))
(+.f64 1 (-.f64 (hypot.f64 x x) 1))
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(log1p.f64 (expm1.f64 (hypot.f64 x x)))
(+.f64 1 (-.f64 (hypot.f64 x x) 1))
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(-.f64 (+.f64 1 (sqrt.f64 (hypot.f64 x x))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (hypot.f64 x x)) 1))
(+.f64 (sqrt.f64 (hypot.f64 x x)) 0)
(sqrt.f64 (hypot.f64 x x))
(pow.f64 (hypot.f64 x x) 1/2)
(+.f64 1 (-.f64 (sqrt.f64 (hypot.f64 x x)) 1))
(+.f64 (sqrt.f64 (hypot.f64 x x)) 0)
(sqrt.f64 (hypot.f64 x x))
(pow.f64 (pow.f64 (hypot.f64 x x) 1/6) 3)
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (hypot.f64 x x)) 1))
(+.f64 (sqrt.f64 (hypot.f64 x x)) 0)
(sqrt.f64 (hypot.f64 x x))
(pow.f64 (pow.f64 (hypot.f64 x x) 1/4) 2)
(+.f64 1 (-.f64 (sqrt.f64 (hypot.f64 x x)) 1))
(+.f64 (sqrt.f64 (hypot.f64 x x)) 0)
(sqrt.f64 (hypot.f64 x x))
(pow.f64 (.f64 2 (.f64 x x)) 1/4)
(pow.f64 (.f64 x (.f64 x 2)) 1/4)
(pow.f64 (pow.f64 (hypot.f64 x x) 3/2) 1/3)
(+.f64 1 (-.f64 (sqrt.f64 (hypot.f64 x x)) 1))
(+.f64 (sqrt.f64 (hypot.f64 x x)) 0)
(sqrt.f64 (hypot.f64 x x))
(sqrt.f64 (hypot.f64 x x))
(+.f64 1 (-.f64 (sqrt.f64 (hypot.f64 x x)) 1))
(+.f64 (sqrt.f64 (hypot.f64 x x)) 0)
(fabs.f64 (sqrt.f64 (hypot.f64 x x)))
(+.f64 1 (-.f64 (sqrt.f64 (hypot.f64 x x)) 1))
(+.f64 (sqrt.f64 (hypot.f64 x x)) 0)
(sqrt.f64 (hypot.f64 x x))
(log.f64 (exp.f64 (sqrt.f64 (hypot.f64 x x))))
(+.f64 1 (-.f64 (sqrt.f64 (hypot.f64 x x)) 1))
(+.f64 (sqrt.f64 (hypot.f64 x x)) 0)
(sqrt.f64 (hypot.f64 x x))
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3/2))
(+.f64 1 (-.f64 (sqrt.f64 (hypot.f64 x x)) 1))
(+.f64 (sqrt.f64 (hypot.f64 x x)) 0)
(sqrt.f64 (hypot.f64 x x))
(expm1.f64 (log1p.f64 (sqrt.f64 (hypot.f64 x x))))
(+.f64 1 (-.f64 (sqrt.f64 (hypot.f64 x x)) 1))
(+.f64 (sqrt.f64 (hypot.f64 x x)) 0)
(sqrt.f64 (hypot.f64 x x))
(exp.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))))
(+.f64 1 (-.f64 (sqrt.f64 (hypot.f64 x x)) 1))
(+.f64 (sqrt.f64 (hypot.f64 x x)) 0)
(sqrt.f64 (hypot.f64 x x))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x x)) 1/2))
(+.f64 1 (-.f64 (sqrt.f64 (hypot.f64 x x)) 1))
(+.f64 (sqrt.f64 (hypot.f64 x x)) 0)
(sqrt.f64 (hypot.f64 x x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 1))
(+.f64 1 (-.f64 (sqrt.f64 (hypot.f64 x x)) 1))
(+.f64 (sqrt.f64 (hypot.f64 x x)) 0)
(sqrt.f64 (hypot.f64 x x))
(log1p.f64 (expm1.f64 (sqrt.f64 (hypot.f64 x x))))
(+.f64 1 (-.f64 (sqrt.f64 (hypot.f64 x x)) 1))
(+.f64 (sqrt.f64 (hypot.f64 x x)) 0)
(sqrt.f64 (hypot.f64 x x))

eval26.0ms (1.6%)

Compiler: Compiled 1731 to 776 computations (55.2% saved)

prune16.0ms (1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	122	3	125

Error

0.0b

Counts

125 → 3

Alt Table

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Status	Error	Program
✓	1.4b	(pow.f64 (*.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (sqrt.f64 (hypot.f64 x x)))) 2)
✓	0.5b	(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
✓	0.0b	(hypot.f64 x x)

Compiler

Compiled 24 to 15 computations (37.5% saved)

regimes16.0ms (0.9%)

Accuracy

Total -30.5b remaining (-195477.1%)

Threshold costs -30.5b (-195477.1%)

Counts

5 → 1

Calls

Call 1

Inputs
(hypot.f64 x x)
(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
(pow.f64 (*.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (sqrt.f64 (hypot.f64 x x)))) 2)
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (cbrt.f64 (sqrt.f64 (hypot.f64 x x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (cbrt.f64 (sqrt.f64 (hypot.f64 x x)))))

Outputs
(hypot.f64 x x)

Calls

4 calls:

4.0ms	x
4.0ms	(*.f64 x x)
3.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))
3.0ms	(+.f64 (.f64 x x) (.f64 x x))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))`
0.0b	1	`(+.f64 (.f64 x x) (.f64 x x))`
0.0b	1	`(*.f64 x x)`

Compiler

Compiled 80 to 32 computations (60% saved)

simplify4.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(hypot.f64 x x)

Outputs
(hypot.f64 x x)

Compiler

Compiled 4 to 2 computations (50% saved)

soundness12.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative`
4×	`count-2`
2×	`associate-r`
2×	`fma-def`
2×	`hypot-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	14	7
2	18	7
3	19	7

Stop Event

1×

saturated

Compiler

Compiled 12 to 5 computations (58.3% saved)

end11.0ms (0.6%)

Compiler: Compiled 4 to 2 computations (50% saved)

Details

analyze3.0ms (0.2%)

sample846.0ms (50.3%)

preprocess4.0ms (0.3%)

simplify12.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

localize2.0ms (0.1%)

series3.0ms (0.2%)

rewrite50.0ms (3%)

simplify56.0ms (3.3%)

eval9.0ms (0.5%)

prune6.0ms (0.4%)

localize23.0ms (1.4%)

series47.0ms (2.8%)

rewrite74.0ms (4.4%)

simplify72.0ms (4.3%)

localize6.0ms (0.4%)

series7.0ms (0.4%)

rewrite51.0ms (3%)

simplify52.0ms (3.1%)

eval106.0ms (6.3%)

prune42.0ms (2.5%)

localize11.0ms (0.7%)

series2.0ms (0.1%)

rewrite54.0ms (3.2%)

simplify58.0ms (3.4%)

eval26.0ms (1.6%)

prune16.0ms (1%)

regimes16.0ms (0.9%)

simplify4.0ms (0.3%)

soundness12.0ms (0.7%)

end11.0ms (0.6%)

Profiling