Details

analyze3.0ms (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%	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 9 to 6 computations (33.3% saved)

sample961.0ms (39.4%)

Results

951.0ms

8256×

body

256

valid

Bogosity

preprocess17.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`1-exp_binary64`
1×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	10	8
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(/.f64 x (+.f64 (*.f64 x x) 1))

Outputs
(/.f64 x (+.f64 (*.f64 x x) 1))
(/.f64 x (fma.f64 x x 1))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`1-exp_binary64`
1×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	10	8

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(/.f64 x (+.f64 (*.f64 x x) 1))

Outputs
(/.f64 x (+.f64 (*.f64 x x) 1))
(/.f64 x (fma.f64 x x 1))

eval0.0ms (0%)

Compiler: Compiled 14 to 8 computations (42.9% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

15.5b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	15.5b	(/.f64 x (+.f64 (*.f64 x x) 1))

Compiler

Compiled 8 to 5 computations (37.5% saved)

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	15.5b	(/.f64 x (+.f64 (*.f64 x x) 1))

Compiler

Compiled 18 to 8 computations (55.6% saved)

series2.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 x (+.f64 (*.f64 x x) 1))
1.0ms	x	@	0	(/.f64 x (+.f64 (*.f64 x x) 1))
0.0ms	x	@	-inf	(/.f64 x (+.f64 (*.f64 x x) 1))

rewrite41.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

668×	`pow1_binary64`
626×	`add-log-exp_binary64`
626×	`log1p-expm1-u_binary64`
626×	`expm1-log1p-u_binary64`
612×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	130	8
2	1749	8

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

Inputs
(/.f64 x (+.f64 (*.f64 x x) 1))

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

Outputs

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

simplify56.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

753×	`fma-def_binary64`
465×	`log-prod_binary64`
406×	`log-div_binary64`
394×	`fma-neg_binary64`
249×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	115	665
1	300	580
2	981	496
3	4225	496

Stop Event

1×	node limit

Counts

45 → 62

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) x))
(+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) (+.f64 (.f64 -1 (pow.f64 x 7)) x)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(-.f64 (+.f64 1 (/.f64 x (fma.f64 x x 1))) 1)
(*.f64 x (/.f64 1 (fma.f64 x x 1)))
(*.f64 1 (/.f64 x (fma.f64 x x 1)))
(*.f64 (/.f64 x (fma.f64 x x 1)) 1)
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 2) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x x 1))))
(*.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) (/.f64 (sqrt.f64 x) (hypot.f64 1 x)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x x 1))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 x x 1))))
(*.f64 (/.f64 1 (fma.f64 x x 1)) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x x 1)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x x 1)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x x 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x x 1))))
(*.f64 (/.f64 1 (hypot.f64 1 x)) (/.f64 x (hypot.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 x)) (/.f64 (cbrt.f64 x) (hypot.f64 1 x)))
(.f64 (/.f64 x (+.f64 1 (pow.f64 x 6))) (+.f64 (pow.f64 x 4) (-.f64 1 (.f64 x x))))
(*.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) (fma.f64 x x -1))
(pow.f64 (/.f64 x (fma.f64 x x 1)) 1)
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 3)
(pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 2)
(pow.f64 (/.f64 (fma.f64 x x 1) x) -1)
(neg.f64 (/.f64 x (neg.f64 (fma.f64 x x 1))))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 2))
(log.f64 (exp.f64 (/.f64 x (fma.f64 x x 1))))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x 1) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x x 1))))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x x 1))))
(exp.f64 (log.f64 (/.f64 x (fma.f64 x x 1))))

Outputs
x
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) x))
(fma.f64 -1 (pow.f64 x 3) (+.f64 x (pow.f64 x 5)))
(+.f64 (-.f64 x (pow.f64 x 3)) (pow.f64 x 5))
(+.f64 x (-.f64 (pow.f64 x 5) (pow.f64 x 3)))
(+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) (+.f64 (.f64 -1 (pow.f64 x 7)) x)))
(fma.f64 -1 (pow.f64 x 3) (+.f64 (pow.f64 x 5) (fma.f64 -1 (pow.f64 x 7) x)))
(-.f64 (+.f64 x (-.f64 (pow.f64 x 5) (pow.f64 x 7))) (pow.f64 x 3))
(+.f64 (-.f64 x (pow.f64 x 3)) (-.f64 (pow.f64 x 5) (pow.f64 x 7)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 -1 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 7)))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 7))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 -1 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 7)))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 7))))
(-.f64 (+.f64 1 (/.f64 x (fma.f64 x x 1))) 1)
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(*.f64 x (/.f64 1 (fma.f64 x x 1)))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(*.f64 1 (/.f64 x (fma.f64 x x 1)))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(*.f64 (/.f64 x (fma.f64 x x 1)) 1)
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 2))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 2) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x x 1))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(*.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) (/.f64 (sqrt.f64 x) (hypot.f64 1 x)))
(pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 2)
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x x 1))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 x x 1))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(*.f64 (/.f64 1 (fma.f64 x x 1)) x)
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x x 1)))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x x 1)))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x x 1))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (cbrt.f64 (/.f64 x (fma.f64 x x 1))))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x x 1))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(*.f64 (/.f64 1 (hypot.f64 1 x)) (/.f64 x (hypot.f64 1 x)))
(pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 2)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 x)) (/.f64 (cbrt.f64 x) (hypot.f64 1 x)))
(pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 2)
(.f64 (/.f64 x (+.f64 1 (pow.f64 x 6))) (+.f64 (pow.f64 x 4) (-.f64 1 (.f64 x x))))
(/.f64 (+.f64 x (-.f64 (pow.f64 x 5) (pow.f64 x 3))) (+.f64 1 (pow.f64 x 6)))
(*.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) (fma.f64 x x -1))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(pow.f64 (/.f64 x (fma.f64 x x 1)) 1)
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x x 1))) 3)
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 2)
(pow.f64 (/.f64 (fma.f64 x x 1) x) -1)
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(neg.f64 (/.f64 x (neg.f64 (fma.f64 x x 1))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 2))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(log.f64 (exp.f64 (/.f64 x (fma.f64 x x 1))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x 1) 3)))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x x 1))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x x 1))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))
(exp.f64 (log.f64 (/.f64 x (fma.f64 x x 1))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x x 1)) 1))
(+.f64 (/.f64 x (fma.f64 x x 1)) 0)
(/.f64 x (fma.f64 x x 1))

eval16.0ms (0.7%)

Compiler: Compiled 736 to 509 computations (30.8% saved)

prune10.0ms (0.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	57	5	62
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	57	6	63

Error

Counts

63 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	15.5b	(/.f64 x (+.f64 (*.f64 x x) 1))
▶	30.0b	(/.f64 1 x)
▶	30.9b	(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
▶	32.9b	(-.f64 x (pow.f64 x 3))
▶	0.0b	(*.f64 (/.f64 1 (hypot.f64 1 x)) (/.f64 x (hypot.f64 1 x)))
	31.8b	x

Compiler

Compiled 42 to 30 computations (28.6% saved)

localize12.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (/.f64 1 (hypot.f64 1 x)) (/.f64 x (hypot.f64 1 x)))
✓	0.0b	(/.f64 1 (hypot.f64 1 x))
✓	0.0b	(/.f64 x (hypot.f64 1 x))

Compiler

Compiled 27 to 19 computations (29.6% saved)

series4.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 x (hypot.f64 1 x))
1.0ms	x	@	-inf	(/.f64 x (hypot.f64 1 x))
0.0ms	x	@	0	(/.f64 x (hypot.f64 1 x))
0.0ms	x	@	0	(/.f64 1 (hypot.f64 1 x))
0.0ms	x	@	-inf	(/.f64 1 (hypot.f64 1 x))

rewrite53.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

731×	`pow1_binary64`
678×	`add-log-exp_binary64`
678×	`log1p-expm1-u_binary64`
678×	`expm1-log1p-u_binary64`
663×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	27
1	147	24
2	1941	24

Stop Event

1×	node limit

Counts

3 → 104

Calls

Call 1

Inputs
(/.f64 x (hypot.f64 1 x))
(/.f64 1 (hypot.f64 1 x))
(*.f64 (/.f64 1 (hypot.f64 1 x)) (/.f64 x (hypot.f64 1 x)))

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

Outputs

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

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

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

simplify57.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

768×	`fma-def_binary64`
321×	`log-prod_binary64`
250×	`fma-neg_binary64`
222×	`cube-prod_binary64`
219×	`exp-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	290	2070
1	748	1760
2	2955	1492

Stop Event

1×	node limit

Counts

140 → 207

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/2 (pow.f64 x 3)) (+.f64 (.f64 3/8 (pow.f64 x 5)) x))
(+.f64 (.f64 -1/2 (pow.f64 x 3)) (+.f64 (.f64 3/8 (pow.f64 x 5)) (+.f64 (*.f64 -5/16 (pow.f64 x 7)) x)))
1
(-.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 1 (.f64 3/8 (/.f64 1 (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 1 (.f64 3/8 (/.f64 1 (pow.f64 x 4)))) (+.f64 (.f64 5/16 (/.f64 1 (pow.f64 x 6))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
-1
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) 1)
(-.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 1 (.f64 3/8 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (.f64 5/16 (/.f64 1 (pow.f64 x 6))) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))) (+.f64 1 (*.f64 3/8 (/.f64 1 (pow.f64 x 4)))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 3/8 (pow.f64 x 4))))
(+.f64 (.f64 -5/16 (pow.f64 x 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 3/8 (pow.f64 x 4)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 x) (.f64 3/8 (/.f64 1 (pow.f64 x 5)))) (.f64 1/2 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 x) (.f64 3/8 (/.f64 1 (pow.f64 x 5)))) (+.f64 (.f64 5/16 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 (pow.f64 x 3)))))
(/.f64 -1 x)
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(-.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (.f64 3/8 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (.f64 5/16 (/.f64 1 (pow.f64 x 7))) (.f64 1/2 (/.f64 1 (pow.f64 x 3)))) (+.f64 (/.f64 1 x) (*.f64 3/8 (/.f64 1 (pow.f64 x 5)))))
x
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) x))
(+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) (+.f64 (.f64 -1 (pow.f64 x 7)) x)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(-.f64 (+.f64 1 (/.f64 x (hypot.f64 1 x))) 1)
(*.f64 x (/.f64 1 (hypot.f64 1 x)))
(*.f64 1 (/.f64 x (hypot.f64 1 x)))
(*.f64 (/.f64 x (hypot.f64 1 x)) 1)
(*.f64 (/.f64 1 (hypot.f64 1 x)) x)
(.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) -2)) (.f64 (/.f64 1 (cbrt.f64 (hypot.f64 1 x))) x))
(*.f64 (cbrt.f64 (/.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 x (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (/.f64 x (hypot.f64 1 x))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (hypot.f64 1 x))))
(*.f64 (pow.f64 (hypot.f64 1 x) -1/2) (/.f64 x (sqrt.f64 (hypot.f64 1 x))))
(.f64 (pow.f64 (hypot.f64 1 x) -1/2) (.f64 (pow.f64 (hypot.f64 1 x) -1/2) x))
(*.f64 (sqrt.f64 (/.f64 x (hypot.f64 1 x))) (sqrt.f64 (/.f64 x (hypot.f64 1 x))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (hypot.f64 1 x))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (hypot.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (hypot.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (hypot.f64 1 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2)) (/.f64 x (cbrt.f64 (hypot.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2)) (cbrt.f64 (/.f64 x (hypot.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (hypot.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (hypot.f64 1 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (hypot.f64 1 x))))
(.f64 (.f64 (pow.f64 (hypot.f64 1 x) -1/2) (sqrt.f64 x)) (*.f64 (pow.f64 (hypot.f64 1 x) -1/2) (sqrt.f64 x)))
(.f64 (.f64 (/.f64 1 (hypot.f64 1 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 (/.f64 1 (hypot.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 x (cbrt.f64 (pow.f64 (hypot.f64 1 x) -2))) (/.f64 1 (cbrt.f64 (hypot.f64 1 x))))
(.f64 (.f64 x (pow.f64 (hypot.f64 1 x) -1/2)) (pow.f64 (hypot.f64 1 x) -1/2))
(pow.f64 (/.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (pow.f64 (/.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (/.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (/.f64 (hypot.f64 1 x) x) -1)
(neg.f64 (/.f64 x (neg.f64 (hypot.f64 1 x))))
(sqrt.f64 (pow.f64 (/.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (/.f64 x (hypot.f64 1 x))))
(cbrt.f64 (pow.f64 (/.f64 x (hypot.f64 1 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (hypot.f64 1 x)) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 1 (hypot.f64 1 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (/.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (/.f64 x (hypot.f64 1 x))))
(-.f64 (+.f64 1 (/.f64 1 (hypot.f64 1 x))) 1)
(*.f64 1 (/.f64 1 (hypot.f64 1 x)))
(*.f64 (/.f64 1 (hypot.f64 1 x)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (hypot.f64 1 x))) (cbrt.f64 (pow.f64 (hypot.f64 1 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) -2)) (/.f64 1 (cbrt.f64 (hypot.f64 1 x))))
(*.f64 (pow.f64 (hypot.f64 1 x) -1/2) (pow.f64 (hypot.f64 1 x) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (hypot.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) -1) (pow.f64 (cbrt.f64 (hypot.f64 1 x)) -1))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 1 x)) -1) (pow.f64 (sqrt.f64 (hypot.f64 1 x)) -1))
(pow.f64 (hypot.f64 1 x) -1)
(pow.f64 (/.f64 1 (hypot.f64 1 x)) 1)
(pow.f64 (pow.f64 (/.f64 1 (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (+.f64 1 (*.f64 x x)) -1/2)
(pow.f64 (/.f64 1 (cbrt.f64 (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (hypot.f64 1 x) -1/2) 2)
(sqrt.f64 (pow.f64 (hypot.f64 1 x) -2))
(log.f64 (exp.f64 (/.f64 1 (hypot.f64 1 x))))
(cbrt.f64 (pow.f64 (/.f64 1 (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (/.f64 1 (hypot.f64 1 x))))
(exp.f64 (neg.f64 (log.f64 (hypot.f64 1 x))))
(-.f64 (+.f64 1 (*.f64 x (pow.f64 (hypot.f64 1 x) -2))) 1)
(/.f64 x (+.f64 1 (*.f64 x x)))
(/.f64 x (/.f64 (hypot.f64 1 x) (/.f64 1 (hypot.f64 1 x))))
(/.f64 1 (*.f64 (/.f64 (hypot.f64 1 x) x) (hypot.f64 1 x)))
(/.f64 1 (*.f64 (hypot.f64 1 x) (/.f64 (hypot.f64 1 x) x)))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 x x)) x))
(/.f64 1 (/.f64 (hypot.f64 1 x) (/.f64 x (hypot.f64 1 x))))
(/.f64 (/.f64 x (hypot.f64 1 x)) (hypot.f64 1 x))
(/.f64 (/.f64 1 (hypot.f64 1 x)) (/.f64 (hypot.f64 1 x) x))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 x (hypot.f64 1 x))) 2) (/.f64 (hypot.f64 1 x) (cbrt.f64 (/.f64 x (hypot.f64 1 x)))))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (+.f64 1 (*.f64 x x)) (cbrt.f64 x)))
(/.f64 (sqrt.f64 (/.f64 x (hypot.f64 1 x))) (/.f64 (hypot.f64 1 x) (sqrt.f64 (/.f64 x (hypot.f64 1 x)))))
(/.f64 (sqrt.f64 x) (/.f64 (+.f64 1 (*.f64 x x)) (sqrt.f64 x)))
(/.f64 -1 (*.f64 (neg.f64 (hypot.f64 1 x)) (/.f64 (hypot.f64 1 x) x)))
(/.f64 -1 (*.f64 (/.f64 (hypot.f64 1 x) x) (neg.f64 (hypot.f64 1 x))))
(/.f64 (neg.f64 x) (neg.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (neg.f64 x) (*.f64 (neg.f64 (hypot.f64 1 x)) (hypot.f64 1 x)))
(/.f64 (neg.f64 x) (*.f64 (hypot.f64 1 x) (neg.f64 (hypot.f64 1 x))))
(/.f64 (neg.f64 (/.f64 x (hypot.f64 1 x))) (neg.f64 (hypot.f64 1 x)))
(/.f64 (.f64 (neg.f64 x) 1) (.f64 (neg.f64 (hypot.f64 1 x)) (hypot.f64 1 x)))
(/.f64 (.f64 x -1) (.f64 (hypot.f64 1 x) (neg.f64 (hypot.f64 1 x))))
(/.f64 (.f64 (neg.f64 x) -1) (.f64 (neg.f64 (hypot.f64 1 x)) (neg.f64 (hypot.f64 1 x))))
(/.f64 (.f64 -1 (neg.f64 x)) (.f64 (neg.f64 (hypot.f64 1 x)) (neg.f64 (hypot.f64 1 x))))
(/.f64 (/.f64 (/.f64 x (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x))) (sqrt.f64 (hypot.f64 1 x)))
(/.f64 (/.f64 (/.f64 x (hypot.f64 1 x)) 1) (hypot.f64 1 x))
(/.f64 (/.f64 (/.f64 x (hypot.f64 1 x)) (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2)) (cbrt.f64 (hypot.f64 1 x)))
(/.f64 (*.f64 (neg.f64 x) (/.f64 1 (hypot.f64 1 x))) (neg.f64 (hypot.f64 1 x)))
(/.f64 (*.f64 -1 (/.f64 x (hypot.f64 1 x))) (neg.f64 (hypot.f64 1 x)))
(/.f64 (*.f64 (/.f64 x (hypot.f64 1 x)) -1) (neg.f64 (hypot.f64 1 x)))
(/.f64 (*.f64 (/.f64 1 (hypot.f64 1 x)) (neg.f64 x)) (neg.f64 (hypot.f64 1 x)))
(pow.f64 (*.f64 x (pow.f64 (hypot.f64 1 x) -2)) 1)
(pow.f64 (pow.f64 (*.f64 x (pow.f64 (hypot.f64 1 x) -2)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 (hypot.f64 1 x) -2))) 3)
(pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 2)
(sqrt.f64 (pow.f64 (*.f64 x (pow.f64 (hypot.f64 1 x) -2)) 2))
(log.f64 (exp.f64 (*.f64 x (pow.f64 (hypot.f64 1 x) -2))))
(cbrt.f64 (pow.f64 (*.f64 x (pow.f64 (hypot.f64 1 x) -2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 x (hypot.f64 1 x)) 3) (pow.f64 (hypot.f64 1 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x (hypot.f64 1 x)) 3) (pow.f64 (/.f64 1 (hypot.f64 1 x)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (hypot.f64 1 x)) 3) (pow.f64 (/.f64 x (hypot.f64 1 x)) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 (hypot.f64 1 x) -2))))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 (hypot.f64 1 x) -2))))
(exp.f64 (log.f64 (*.f64 x (pow.f64 (hypot.f64 1 x) -2))))

Outputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 3)) x)
(fma.f64 -1/2 (pow.f64 x 3) x)
(+.f64 (.f64 -1/2 (pow.f64 x 3)) (+.f64 (.f64 3/8 (pow.f64 x 5)) x))
(fma.f64 -1/2 (pow.f64 x 3) (fma.f64 3/8 (pow.f64 x 5) x))
(+.f64 (.f64 -1/2 (pow.f64 x 3)) (+.f64 (.f64 3/8 (pow.f64 x 5)) (+.f64 (*.f64 -5/16 (pow.f64 x 7)) x)))
(fma.f64 -1/2 (pow.f64 x 3) (fma.f64 3/8 (pow.f64 x 5) (fma.f64 -5/16 (pow.f64 x 7) x)))
1
(-.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 1 (/.f64 1/2 (*.f64 x x)))
(+.f64 1 (/.f64 -1/2 (*.f64 x x)))
(-.f64 (+.f64 1 (.f64 3/8 (/.f64 1 (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (-.f64 (/.f64 3/8 (pow.f64 x 4)) (/.f64 1/2 (*.f64 x x))))
(+.f64 1 (+.f64 (/.f64 3/8 (pow.f64 x 4)) (/.f64 -1/2 (*.f64 x x))))
(-.f64 (+.f64 1 (.f64 3/8 (/.f64 1 (pow.f64 x 4)))) (+.f64 (.f64 5/16 (/.f64 1 (pow.f64 x 6))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (-.f64 (/.f64 3/8 (pow.f64 x 4)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 5/16 (pow.f64 x 6)))))
(+.f64 1 (+.f64 (/.f64 3/8 (pow.f64 x 4)) (-.f64 (/.f64 -5/16 (pow.f64 x 6)) (/.f64 1/2 (*.f64 x x)))))
-1
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) 1)
(+.f64 (/.f64 1/2 (*.f64 x x)) -1)
(-.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 1 (.f64 3/8 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 1 (/.f64 3/8 (pow.f64 x 4))))
(+.f64 (/.f64 1/2 (*.f64 x x)) (-.f64 -1 (/.f64 3/8 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 5/16 (/.f64 1 (pow.f64 x 6))) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))) (+.f64 1 (*.f64 3/8 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 5/16 (pow.f64 x 6)) (-.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 1 (/.f64 3/8 (pow.f64 x 4)))))
(+.f64 (/.f64 1/2 (*.f64 x x)) (-.f64 (/.f64 5/16 (pow.f64 x 6)) (+.f64 1 (/.f64 3/8 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 5/16 (pow.f64 x 6))) (-.f64 -1 (/.f64 3/8 (pow.f64 x 4))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (.f64 -1/2 (.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) 1)
(fma.f64 (*.f64 -1/2 x) x 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 3/8 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 3/8 (pow.f64 x 4))))
(fma.f64 x (*.f64 x -1/2) (fma.f64 3/8 (pow.f64 x 4) 1))
(+.f64 (.f64 -5/16 (pow.f64 x 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 3/8 (pow.f64 x 4)))))
(fma.f64 -5/16 (pow.f64 x 6) (+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 3/8 (pow.f64 x 4)))))
(+.f64 (fma.f64 -1/2 (.f64 x x) (.f64 3/8 (pow.f64 x 4))) (fma.f64 -5/16 (pow.f64 x 6) 1))
(fma.f64 -5/16 (pow.f64 x 6) (fma.f64 x (*.f64 x -1/2) (fma.f64 3/8 (pow.f64 x 4) 1)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (/.f64 -1/2 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (.f64 3/8 (/.f64 1 (pow.f64 x 5)))) (.f64 1/2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 3/8 (pow.f64 x 5)) (/.f64 1/2 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 3/8 (pow.f64 x 5)) (/.f64 -1/2 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 x) (.f64 3/8 (/.f64 1 (pow.f64 x 5)))) (+.f64 (.f64 5/16 (/.f64 1 (pow.f64 x 7))) (*.f64 1/2 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 3/8 (pow.f64 x 5))) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 5/16 (pow.f64 x 7))))
(+.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 3/8 (pow.f64 x 5))) (/.f64 5/16 (pow.f64 x 7))) (/.f64 -1/2 (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 3/8 (pow.f64 x 5))) (+.f64 (/.f64 -1/2 (pow.f64 x 3)) (/.f64 -5/16 (pow.f64 x 7))))
(/.f64 -1 x)
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(-.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 1 x))
(+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 -1 x))
(-.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (.f64 3/8 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (/.f64 1/2 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 3/8 (pow.f64 x 5))))
(+.f64 (/.f64 1/2 (pow.f64 x 3)) (-.f64 (/.f64 -1 x) (/.f64 3/8 (pow.f64 x 5))))
(+.f64 (/.f64 1/2 (pow.f64 x 3)) (+.f64 (/.f64 -1 x) (/.f64 -3/8 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 5/16 (/.f64 1 (pow.f64 x 7))) (.f64 1/2 (/.f64 1 (pow.f64 x 3)))) (+.f64 (/.f64 1 x) (*.f64 3/8 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (/.f64 5/16 (pow.f64 x 7)) (-.f64 (/.f64 1/2 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 3/8 (pow.f64 x 5)))))
(+.f64 (/.f64 1/2 (pow.f64 x 3)) (-.f64 (/.f64 5/16 (pow.f64 x 7)) (+.f64 (/.f64 1 x) (/.f64 3/8 (pow.f64 x 5)))))
(+.f64 (/.f64 1/2 (pow.f64 x 3)) (+.f64 (/.f64 5/16 (pow.f64 x 7)) (+.f64 (/.f64 -1 x) (/.f64 -3/8 (pow.f64 x 5)))))
x
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) x))
(fma.f64 -1 (pow.f64 x 3) (+.f64 x (pow.f64 x 5)))
(-.f64 (+.f64 x (pow.f64 x 5)) (pow.f64 x 3))
(+.f64 (pow.f64 x 5) (-.f64 x (pow.f64 x 3)))
(+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) (+.f64 (.f64 -1 (pow.f64 x 7)) x)))
(fma.f64 -1 (pow.f64 x 3) (+.f64 (pow.f64 x 5) (fma.f64 -1 (pow.f64 x 7) x)))
(-.f64 (+.f64 x (-.f64 (pow.f64 x 5) (pow.f64 x 7))) (pow.f64 x 3))
(+.f64 (pow.f64 x 5) (-.f64 (-.f64 x (pow.f64 x 7)) (pow.f64 x 3)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 7)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 7)))))
(-.f64 (+.f64 1 (/.f64 x (hypot.f64 1 x))) 1)
(+.f64 (+.f64 1 (/.f64 x (hypot.f64 1 x))) -1)
(+.f64 (/.f64 x (hypot.f64 1 x)) 0)
(/.f64 x (hypot.f64 1 x))
(*.f64 x (/.f64 1 (hypot.f64 1 x)))
(+.f64 (+.f64 1 (/.f64 x (hypot.f64 1 x))) -1)
(+.f64 (/.f64 x (hypot.f64 1 x)) 0)
(/.f64 x (hypot.f64 1 x))
(*.f64 1 (/.f64 x (hypot.f64 1 x)))
(+.f64 (+.f64 1 (/.f64 x (hypot.f64 1 x))) -1)
(+.f64 (/.f64 x (hypot.f64 1 x)) 0)
(/.f64 x (hypot.f64 1 x))
(*.f64 (/.f64 x (hypot.f64 1 x)) 1)
(+.f64 (+.f64 1 (/.f64 x (hypot.f64 1 x))) -1)
(+.f64 (/.f64 x (hypot.f64 1 x)) 0)
(/.f64 x (hypot.f64 1 x))
(*.f64 (/.f64 1 (hypot.f64 1 x)) x)
(+.f64 (+.f64 1 (/.f64 x (hypot.f64 1 x))) -1)
(+.f64 (/.f64 x (hypot.f64 1 x)) 0)
(/.f64 x (hypot.f64 1 x))
(.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) -2)) (.f64 (/.f64 1 (cbrt.f64 (hypot.f64 1 x))) x))
(.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) -2)) (.f64 x (/.f64 1 (cbrt.f64 (hypot.f64 1 x)))))
(*.f64 x (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 x) -2)) (cbrt.f64 (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 x (hypot.f64 1 x))) 2))
(+.f64 (+.f64 1 (/.f64 x (hypot.f64 1 x))) -1)
(+.f64 (/.f64 x (hypot.f64 1 x)) 0)
(/.f64 x (hypot.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (/.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 1 (/.f64 x (hypot.f64 1 x))) -1)
(+.f64 (/.f64 x (hypot.f64 1 x)) 0)
(/.f64 x (hypot.f64 1 x))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (hypot.f64 1 x))))
(+.f64 (+.f64 1 (/.f64 x (hypot.f64 1 x))) -1)
(+.f64 (/.f64 x (hypot.f64 1 x)) 0)
(/.f64 x (hypot.f64 1 x))
(*.f64 (pow.f64 (hypot.f64 1 x) -1/2) (/.f64 x (sqrt.f64 (hypot.f64 1 x))))
(.f64 (pow.f64 (hypot.f64 1 x) -1/2) (.f64 (pow.f64 (hypot.f64 1 x) -1/2) x))
(+.f64 (+.f64 1 (/.f64 x (hypot.f64 1 x))) -1)
(+.f64 (/.f64 x (hypot.f64 1 x)) 0)
(/.f64 x (hypot.f64 1 x))
(*.f64 (sqrt.f64 (/.f64 x (hypot.f64 1 x))) (sqrt.f64 (/.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 1 (/.f64 x (hypot.f64 1 x))) -1)
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(*.f64 x (pow.f64 (hypot.f64 1 x) -2))
(/.f64 (/.f64 (/.f64 x (hypot.f64 1 x)) (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2)) (cbrt.f64 (hypot.f64 1 x)))
(+.f64 (+.f64 1 (*.f64 x (pow.f64 (hypot.f64 1 x) -2))) -1)
(+.f64 (*.f64 x (pow.f64 (hypot.f64 1 x) -2)) 0)
(*.f64 x (pow.f64 (hypot.f64 1 x) -2))
(/.f64 (*.f64 (neg.f64 x) (/.f64 1 (hypot.f64 1 x))) (neg.f64 (hypot.f64 1 x)))
(+.f64 (+.f64 1 (*.f64 x (pow.f64 (hypot.f64 1 x) -2))) -1)
(+.f64 (*.f64 x (pow.f64 (hypot.f64 1 x) -2)) 0)
(*.f64 x (pow.f64 (hypot.f64 1 x) -2))
(/.f64 (*.f64 -1 (/.f64 x (hypot.f64 1 x))) (neg.f64 (hypot.f64 1 x)))
(+.f64 (+.f64 1 (*.f64 x (pow.f64 (hypot.f64 1 x) -2))) -1)
(+.f64 (*.f64 x (pow.f64 (hypot.f64 1 x) -2)) 0)
(*.f64 x (pow.f64 (hypot.f64 1 x) -2))
(/.f64 (*.f64 (/.f64 x (hypot.f64 1 x)) -1) (neg.f64 (hypot.f64 1 x)))
(+.f64 (+.f64 1 (*.f64 x (pow.f64 (hypot.f64 1 x) -2))) -1)
(+.f64 (*.f64 x (pow.f64 (hypot.f64 1 x) -2)) 0)
(*.f64 x (pow.f64 (hypot.f64 1 x) -2))
(/.f64 (*.f64 (/.f64 1 (hypot.f64 1 x)) (neg.f64 x)) (neg.f64 (hypot.f64 1 x)))
(+.f64 (+.f64 1 (*.f64 x (pow.f64 (hypot.f64 1 x) -2))) -1)
(+.f64 (*.f64 x (pow.f64 (hypot.f64 1 x) -2)) 0)
(*.f64 x (pow.f64 (hypot.f64 1 x) -2))
(pow.f64 (*.f64 x (pow.f64 (hypot.f64 1 x) -2)) 1)
(+.f64 (+.f64 1 (*.f64 x (pow.f64 (hypot.f64 1 x) -2))) -1)
(+.f64 (*.f64 x (pow.f64 (hypot.f64 1 x) -2)) 0)
(*.f64 x (pow.f64 (hypot.f64 1 x) -2))
(pow.f64 (pow.f64 (*.f64 x (pow.f64 (hypot.f64 1 x) -2)) 3) 1/3)
(+.f64 (+.f64 1 (*.f64 x (pow.f64 (hypot.f64 1 x) -2))) -1)
(+.f64 (*.f64 x (pow.f64 (hypot.f64 1 x) -2)) 0)
(*.f64 x (pow.f64 (hypot.f64 1 x) -2))
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 (hypot.f64 1 x) -2))) 3)
(+.f64 (+.f64 1 (*.f64 x (pow.f64 (hypot.f64 1 x) -2))) -1)
(+.f64 (*.f64 x (pow.f64 (hypot.f64 1 x) -2)) 0)
(*.f64 x (pow.f64 (hypot.f64 1 x) -2))
(pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 1 x)) 2)
(+.f64 (+.f64 1 (*.f64 x (pow.f64 (hypot.f64 1 x) -2))) -1)
(+.f64 (*.f64 x (pow.f64 (hypot.f64 1 x) -2)) 0)
(*.f64 x (pow.f64 (hypot.f64 1 x) -2))
(sqrt.f64 (pow.f64 (*.f64 x (pow.f64 (hypot.f64 1 x) -2)) 2))
(+.f64 (+.f64 1 (*.f64 x (pow.f64 (hypot.f64 1 x) -2))) -1)
(+.f64 (*.f64 x (pow.f64 (hypot.f64 1 x) -2)) 0)
(*.f64 x (pow.f64 (hypot.f64 1 x) -2))
(log.f64 (exp.f64 (*.f64 x (pow.f64 (hypot.f64 1 x) -2))))
(+.f64 (+.f64 1 (*.f64 x (pow.f64 (hypot.f64 1 x) -2))) -1)
(+.f64 (*.f64 x (pow.f64 (hypot.f64 1 x) -2)) 0)
(*.f64 x (pow.f64 (hypot.f64 1 x) -2))
(cbrt.f64 (pow.f64 (*.f64 x (pow.f64 (hypot.f64 1 x) -2)) 3))
(+.f64 (+.f64 1 (*.f64 x (pow.f64 (hypot.f64 1 x) -2))) -1)
(+.f64 (*.f64 x (pow.f64 (hypot.f64 1 x) -2)) 0)
(*.f64 x (pow.f64 (hypot.f64 1 x) -2))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 x (hypot.f64 1 x)) 3) (pow.f64 (hypot.f64 1 x) 3)))
(+.f64 (+.f64 1 (*.f64 x (pow.f64 (hypot.f64 1 x) -2))) -1)
(+.f64 (*.f64 x (pow.f64 (hypot.f64 1 x) -2)) 0)
(*.f64 x (pow.f64 (hypot.f64 1 x) -2))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x (hypot.f64 1 x)) 3) (pow.f64 (/.f64 1 (hypot.f64 1 x)) 3)))
(+.f64 (+.f64 1 (*.f64 x (pow.f64 (hypot.f64 1 x) -2))) -1)
(+.f64 (*.f64 x (pow.f64 (hypot.f64 1 x) -2)) 0)
(*.f64 x (pow.f64 (hypot.f64 1 x) -2))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (hypot.f64 1 x)) 3) (pow.f64 (/.f64 x (hypot.f64 1 x)) 3)))
(+.f64 (+.f64 1 (*.f64 x (pow.f64 (hypot.f64 1 x) -2))) -1)
(+.f64 (*.f64 x (pow.f64 (hypot.f64 1 x) -2)) 0)
(*.f64 x (pow.f64 (hypot.f64 1 x) -2))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 (hypot.f64 1 x) -2))))
(+.f64 (+.f64 1 (*.f64 x (pow.f64 (hypot.f64 1 x) -2))) -1)
(+.f64 (*.f64 x (pow.f64 (hypot.f64 1 x) -2)) 0)
(*.f64 x (pow.f64 (hypot.f64 1 x) -2))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 (hypot.f64 1 x) -2))))
(+.f64 (+.f64 1 (*.f64 x (pow.f64 (hypot.f64 1 x) -2))) -1)
(+.f64 (*.f64 x (pow.f64 (hypot.f64 1 x) -2)) 0)
(*.f64 x (pow.f64 (hypot.f64 1 x) -2))
(exp.f64 (log.f64 (*.f64 x (pow.f64 (hypot.f64 1 x) -2))))
(+.f64 (+.f64 1 (*.f64 x (pow.f64 (hypot.f64 1 x) -2))) -1)
(+.f64 (*.f64 x (pow.f64 (hypot.f64 1 x) -2)) 0)
(*.f64 x (pow.f64 (hypot.f64 1 x) -2))

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (pow.f64 x 3))

Compiler

Compiled 11 to 7 computations (36.4% saved)

series2.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(-.f64 x (pow.f64 x 3))
1.0ms	x	@	-inf	(-.f64 x (pow.f64 x 3))
0.0ms	x	@	0	(-.f64 x (pow.f64 x 3))

rewrite39.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

582×	`pow1_binary64`
549×	`add-log-exp_binary64`
549×	`log1p-expm1-u_binary64`
549×	`expm1-log1p-u_binary64`
537×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	118	7
2	1497	7

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

Inputs
(-.f64 x (pow.f64 x 3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (neg.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (neg.f64 (pow.f64 x 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (pow.f64 x 3)) (fma.f64 (neg.f64 (*.f64 x x)) x (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (pow.f64 x 3)) (fma.f64 (neg.f64 (pow.f64 x 3)) 1 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (pow.f64 x 3)) (fma.f64 (neg.f64 x) (*.f64 x x) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (pow.f64 x 3)) (fma.f64 (neg.f64 (pow.f64 x 3/2)) (pow.f64 x 3/2) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 x 3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (pow.f64 x 3))) (pow.f64 (cbrt.f64 (-.f64 x (pow.f64 x 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (pow.f64 x 3))) 2) (cbrt.f64 (-.f64 x (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (pow.f64 x 3))) (sqrt.f64 (-.f64 x (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9)) (/.f64 1 (fma.f64 x x (+.f64 (pow.f64 x 6) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 x 6)) (/.f64 1 (+.f64 x (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (pow.f64 x 3/2)) (-.f64 (sqrt.f64 x) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (+.f64 (pow.f64 x 6) (pow.f64 x 4))) (-.f64 (pow.f64 x 3) (pow.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (pow.f64 x 3)) (-.f64 (*.f64 x x) (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9)) (fma.f64 x x (+.f64 (pow.f64 x 6) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 x 6)) (+.f64 x (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9))) (neg.f64 (fma.f64 x x (+.f64 (pow.f64 x 6) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 x 6))) (neg.f64 (+.f64 x (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (pow.f64 x 3)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 (pow.f64 x 3)) (neg.f64 (pow.f64 x 3))) (*.f64 x (neg.f64 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (pow.f64 x 3)) (neg.f64 (pow.f64 x 3)))) (-.f64 x (neg.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (pow.f64 x 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (pow.f64 x 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (pow.f64 x 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (neg.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (pow.f64 x 3)))))))

simplify45.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

352×	`fma-def_binary64`
288×	`distribute-rgt-neg-in_binary64`
255×	`distribute-lft-neg-in_binary64`
214×	`times-frac_binary64`
210×	`exp-prod_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	102	452
1	270	433
2	1007	433
3	4686	433

Stop Event

1×	node limit

Counts

49 → 50

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(*.f64 -1 (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(*.f64 -1 (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 x (neg.f64 (pow.f64 x 3)))
(+.f64 x (*.f64 (neg.f64 (pow.f64 x 3)) 1))
(+.f64 (-.f64 x (pow.f64 x 3)) (fma.f64 (neg.f64 (*.f64 x x)) x (pow.f64 x 3)))
(+.f64 (-.f64 x (pow.f64 x 3)) (fma.f64 (neg.f64 (pow.f64 x 3)) 1 (pow.f64 x 3)))
(+.f64 (-.f64 x (pow.f64 x 3)) (fma.f64 (neg.f64 x) (*.f64 x x) (pow.f64 x 3)))
(+.f64 (-.f64 x (pow.f64 x 3)) (fma.f64 (neg.f64 (pow.f64 x 3/2)) (pow.f64 x 3/2) (pow.f64 x 3)))
(+.f64 (neg.f64 (pow.f64 x 3)) x)
(.f64 x (-.f64 1 (.f64 x x)))
(*.f64 (-.f64 x (pow.f64 x 3)) 1)
(*.f64 1 (-.f64 x (pow.f64 x 3)))
(*.f64 (cbrt.f64 (-.f64 x (pow.f64 x 3))) (pow.f64 (cbrt.f64 (-.f64 x (pow.f64 x 3))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (pow.f64 x 3))) 2) (cbrt.f64 (-.f64 x (pow.f64 x 3))))
(*.f64 (sqrt.f64 (-.f64 x (pow.f64 x 3))) (sqrt.f64 (-.f64 x (pow.f64 x 3))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9)) (/.f64 1 (fma.f64 x x (+.f64 (pow.f64 x 6) (pow.f64 x 4)))))
(.f64 (-.f64 (.f64 x x) (pow.f64 x 6)) (/.f64 1 (+.f64 x (pow.f64 x 3))))
(*.f64 (+.f64 (sqrt.f64 x) (pow.f64 x 3/2)) (-.f64 (sqrt.f64 x) (pow.f64 x 3/2)))
(/.f64 1 (/.f64 (fma.f64 x x (+.f64 (pow.f64 x 6) (pow.f64 x 4))) (-.f64 (pow.f64 x 3) (pow.f64 x 9))))
(/.f64 1 (/.f64 (+.f64 x (pow.f64 x 3)) (-.f64 (*.f64 x x) (pow.f64 x 6))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9)) (fma.f64 x x (+.f64 (pow.f64 x 6) (pow.f64 x 4))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 x 6)) (+.f64 x (pow.f64 x 3)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9))) (neg.f64 (fma.f64 x x (+.f64 (pow.f64 x 6) (pow.f64 x 4)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 x 6))) (neg.f64 (+.f64 x (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (pow.f64 x 3)) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (neg.f64 (pow.f64 x 3)) (neg.f64 (pow.f64 x 3))) (*.f64 x (neg.f64 (pow.f64 x 3))))))
(/.f64 (-.f64 (.f64 x x) (.f64 (neg.f64 (pow.f64 x 3)) (neg.f64 (pow.f64 x 3)))) (-.f64 x (neg.f64 (pow.f64 x 3))))
(pow.f64 (-.f64 x (pow.f64 x 3)) 1)
(pow.f64 (pow.f64 (-.f64 x (pow.f64 x 3)) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 x (pow.f64 x 3))) 3)
(pow.f64 (sqrt.f64 (-.f64 x (pow.f64 x 3))) 2)
(sqrt.f64 (pow.f64 (-.f64 x (pow.f64 x 3)) 2))
(log.f64 (exp.f64 (-.f64 x (pow.f64 x 3))))
(cbrt.f64 (pow.f64 (-.f64 x (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (-.f64 x (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (-.f64 x (pow.f64 x 3))))
(exp.f64 (log.f64 (-.f64 x (pow.f64 x 3))))
(fma.f64 1 x (neg.f64 (pow.f64 x 3)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (pow.f64 x 3)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (pow.f64 x 3)))

Outputs
x
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(-.f64 x (pow.f64 x 3))
(*.f64 -1 (pow.f64 x 3))
(neg.f64 (pow.f64 x 3))
(pow.f64 (neg.f64 x) 3)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(-.f64 x (pow.f64 x 3))
(*.f64 -1 (pow.f64 x 3))
(neg.f64 (pow.f64 x 3))
(pow.f64 (neg.f64 x) 3)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(-.f64 x (pow.f64 x 3))
(+.f64 x (neg.f64 (pow.f64 x 3)))
(-.f64 x (pow.f64 x 3))
(+.f64 x (*.f64 (neg.f64 (pow.f64 x 3)) 1))
(-.f64 x (pow.f64 x 3))
(+.f64 (-.f64 x (pow.f64 x 3)) (fma.f64 (neg.f64 (*.f64 x x)) x (pow.f64 x 3)))
(-.f64 x (pow.f64 x 3))
(+.f64 (-.f64 x (pow.f64 x 3)) (fma.f64 (neg.f64 (pow.f64 x 3)) 1 (pow.f64 x 3)))
(-.f64 x (pow.f64 x 3))
(+.f64 (-.f64 x (pow.f64 x 3)) (fma.f64 (neg.f64 x) (*.f64 x x) (pow.f64 x 3)))
(-.f64 x (pow.f64 x 3))
(+.f64 (-.f64 x (pow.f64 x 3)) (fma.f64 (neg.f64 (pow.f64 x 3/2)) (pow.f64 x 3/2) (pow.f64 x 3)))
(-.f64 x (pow.f64 x 3))
(+.f64 (neg.f64 (pow.f64 x 3)) x)
(-.f64 x (pow.f64 x 3))
(.f64 x (-.f64 1 (.f64 x x)))
(-.f64 x (pow.f64 x 3))
(*.f64 (-.f64 x (pow.f64 x 3)) 1)
(-.f64 x (pow.f64 x 3))
(*.f64 1 (-.f64 x (pow.f64 x 3)))
(-.f64 x (pow.f64 x 3))
(*.f64 (cbrt.f64 (-.f64 x (pow.f64 x 3))) (pow.f64 (cbrt.f64 (-.f64 x (pow.f64 x 3))) 2))
(-.f64 x (pow.f64 x 3))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (pow.f64 x 3))) 2) (cbrt.f64 (-.f64 x (pow.f64 x 3))))
(-.f64 x (pow.f64 x 3))
(*.f64 (sqrt.f64 (-.f64 x (pow.f64 x 3))) (sqrt.f64 (-.f64 x (pow.f64 x 3))))
(-.f64 x (pow.f64 x 3))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9)) (/.f64 1 (fma.f64 x x (+.f64 (pow.f64 x 6) (pow.f64 x 4)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9)) 1) (fma.f64 x x (+.f64 (pow.f64 x 4) (pow.f64 x 6))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9)) (+.f64 (fma.f64 x x (pow.f64 x 6)) (pow.f64 x 4)))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9)) (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))))
(.f64 (-.f64 (.f64 x x) (pow.f64 x 6)) (/.f64 1 (+.f64 x (pow.f64 x 3))))
(-.f64 x (pow.f64 x 3))
(*.f64 (+.f64 (sqrt.f64 x) (pow.f64 x 3/2)) (-.f64 (sqrt.f64 x) (pow.f64 x 3/2)))
(-.f64 x (pow.f64 x 3))
(/.f64 1 (/.f64 (fma.f64 x x (+.f64 (pow.f64 x 6) (pow.f64 x 4))) (-.f64 (pow.f64 x 3) (pow.f64 x 9))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9)) 1) (fma.f64 x x (+.f64 (pow.f64 x 4) (pow.f64 x 6))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9)) (+.f64 (fma.f64 x x (pow.f64 x 6)) (pow.f64 x 4)))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9)) (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))))
(/.f64 1 (/.f64 (+.f64 x (pow.f64 x 3)) (-.f64 (*.f64 x x) (pow.f64 x 6))))
(-.f64 x (pow.f64 x 3))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9)) (fma.f64 x x (+.f64 (pow.f64 x 6) (pow.f64 x 4))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9)) 1) (fma.f64 x x (+.f64 (pow.f64 x 4) (pow.f64 x 6))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9)) (+.f64 (fma.f64 x x (pow.f64 x 6)) (pow.f64 x 4)))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9)) (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 x 6)) (+.f64 x (pow.f64 x 3)))
(-.f64 x (pow.f64 x 3))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9))) (neg.f64 (fma.f64 x x (+.f64 (pow.f64 x 6) (pow.f64 x 4)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9)) 1) (fma.f64 x x (+.f64 (pow.f64 x 4) (pow.f64 x 6))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9)) (+.f64 (fma.f64 x x (pow.f64 x 6)) (pow.f64 x 4)))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 9)) (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 x 6))) (neg.f64 (+.f64 x (pow.f64 x 3))))
(-.f64 x (pow.f64 x 3))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (pow.f64 x 3)) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (neg.f64 (pow.f64 x 3)) (neg.f64 (pow.f64 x 3))) (*.f64 x (neg.f64 (pow.f64 x 3))))))
(/.f64 (+.f64 (pow.f64 x 3) (neg.f64 (pow.f64 (pow.f64 x 3) 3))) (fma.f64 x x (-.f64 (pow.f64 x 6) (*.f64 x (neg.f64 (pow.f64 x 3))))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (pow.f64 x 3) 3)) (+.f64 (fma.f64 x x (pow.f64 x 6)) (pow.f64 x 4)))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (pow.f64 x 3/2) 6)) (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (pow.f64 x 3) 3)) (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))))
(/.f64 (-.f64 (.f64 x x) (.f64 (neg.f64 (pow.f64 x 3)) (neg.f64 (pow.f64 x 3)))) (-.f64 x (neg.f64 (pow.f64 x 3))))
(-.f64 x (pow.f64 x 3))
(pow.f64 (-.f64 x (pow.f64 x 3)) 1)
(-.f64 x (pow.f64 x 3))
(pow.f64 (pow.f64 (-.f64 x (pow.f64 x 3)) 3) 1/3)
(-.f64 x (pow.f64 x 3))
(pow.f64 (cbrt.f64 (-.f64 x (pow.f64 x 3))) 3)
(-.f64 x (pow.f64 x 3))
(pow.f64 (sqrt.f64 (-.f64 x (pow.f64 x 3))) 2)
(-.f64 x (pow.f64 x 3))
(sqrt.f64 (pow.f64 (-.f64 x (pow.f64 x 3)) 2))
(-.f64 x (pow.f64 x 3))
(log.f64 (exp.f64 (-.f64 x (pow.f64 x 3))))
(-.f64 x (pow.f64 x 3))
(cbrt.f64 (pow.f64 (-.f64 x (pow.f64 x 3)) 3))
(-.f64 x (pow.f64 x 3))
(expm1.f64 (log1p.f64 (-.f64 x (pow.f64 x 3))))
(-.f64 x (pow.f64 x 3))
(log1p.f64 (expm1.f64 (-.f64 x (pow.f64 x 3))))
(-.f64 x (pow.f64 x 3))
(exp.f64 (log.f64 (-.f64 x (pow.f64 x 3))))
(-.f64 x (pow.f64 x 3))
(fma.f64 1 x (neg.f64 (pow.f64 x 3)))
(-.f64 x (pow.f64 x 3))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (pow.f64 x 3)))
(-.f64 x (pow.f64 x 3))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (pow.f64 x 3)))
(-.f64 x (pow.f64 x 3))

localize11.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
✓	0.3b	(/.f64 1 (pow.f64 x 3))

Compiler

Compiled 24 to 18 computations (25% saved)

series3.0ms (0.1%)

Counts

2 → 3

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 1 (pow.f64 x 3))
0.0ms	x	@	0	(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
0.0ms	x	@	-inf	(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
0.0ms	x	@	-inf	(/.f64 1 (pow.f64 x 3))
0.0ms	x	@	inf	(/.f64 1 (pow.f64 x 3))

rewrite53.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

890×	`pow1_binary64`
842×	`add-log-exp_binary64`
841×	`log1p-expm1-u_binary64`
841×	`expm1-log1p-u_binary64`
821×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	189	14
2	2550	14

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

Inputs
(/.f64 1 (pow.f64 x 3))
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 x -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -3/2) (pow.f64 x -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 3) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 x -1/2) 3) (pow.f64 (pow.f64 x -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -3) (pow.f64 (cbrt.f64 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (sqrt.f64 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 x 3/2) -1) (pow.f64 (pow.f64 x 3/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 x) 3/2) (pow.f64 (/.f64 1 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x -2) 1) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x -2) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x -2) (pow.f64 x -1/2)) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -3/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -9) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x -6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x -9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 x) -3))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (neg.f64 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (*.f64 (neg.f64 (pow.f64 x -3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3)) (fma.f64 (neg.f64 (pow.f64 x -3)) 1 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3)) (fma.f64 (neg.f64 (/.f64 1 x)) (pow.f64 x -2) (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3)) (fma.f64 (neg.f64 (pow.f64 x -3/2)) (pow.f64 x -3/2) (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 x -3)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (/.f64 1 x) (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3))) 2) (cbrt.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3))) (sqrt.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) x) (pow.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x -3) (pow.f64 x -9)) (/.f64 1 (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 x -6) (pow.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -6)) (/.f64 1 (+.f64 (pow.f64 x -3) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 x -3/2)) (-.f64 (pow.f64 x -1/2) (pow.f64 x -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 x 4) (-.f64 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 x -6) (pow.f64 x -4))) (-.f64 (pow.f64 x -3) (pow.f64 x -9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x -3) (/.f64 1 x)) (-.f64 (pow.f64 x -2) (pow.f64 x -6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) x) (pow.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x -3) (pow.f64 x -9)) (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 x -6) (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -6)) (+.f64 (pow.f64 x -3) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) x)) (neg.f64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x -3) (pow.f64 x -9))) (neg.f64 (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 x -6) (pow.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -6))) (neg.f64 (+.f64 (pow.f64 x -3) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 (pow.f64 x 3)) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 (pow.f64 x 3)) (*.f64 x -1)) (*.f64 x (neg.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 -1 (neg.f64 (pow.f64 x 3))) (*.f64 (neg.f64 x) -1)) (*.f64 (neg.f64 x) (neg.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x -3) (pow.f64 (neg.f64 (pow.f64 x -3)) 3)) (+.f64 (pow.f64 x -2) (-.f64 (*.f64 (neg.f64 (pow.f64 x -3)) (neg.f64 (pow.f64 x -3))) (*.f64 (/.f64 1 x) (neg.f64 (pow.f64 x -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x -2) (*.f64 (neg.f64 (pow.f64 x -3)) (neg.f64 (pow.f64 x -3)))) (-.f64 (/.f64 1 x) (neg.f64 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 x 3) x) x) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 x) (neg.f64 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (neg.f64 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (neg.f64 (pow.f64 x -3)))))))

simplify58.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

619×	`fma-def_binary64`
516×	`associate-/l*_binary64`
417×	`associate-/r*_binary64`
304×	`fma-neg_binary64`
286×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	176	927
1	486	821
2	1847	749
3	7651	745

Stop Event

1×	node limit

Counts

74 → 91

Calls

Call 1

Inputs
(/.f64 -1 (pow.f64 x 3))
(/.f64 1 x)
(/.f64 1 x)
(-.f64 (+.f64 1 (pow.f64 x -3)) 1)
(*.f64 1 (pow.f64 x -3))
(*.f64 (pow.f64 x -3) 1)
(*.f64 (/.f64 1 x) (pow.f64 x -2))
(*.f64 (pow.f64 x -2) (/.f64 1 x))
(*.f64 (pow.f64 x -3/2) (pow.f64 x -3/2))
(*.f64 -1 (neg.f64 (pow.f64 x -3)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 3) (/.f64 1 x))
(*.f64 (pow.f64 (pow.f64 x -1/2) 3) (pow.f64 (pow.f64 x -1/2) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -3) (pow.f64 (cbrt.f64 x) -3))
(*.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (sqrt.f64 x) -3))
(*.f64 (pow.f64 (pow.f64 x 3/2) -1) (pow.f64 (pow.f64 x 3/2) -1))
(*.f64 (pow.f64 (/.f64 1 x) 3/2) (pow.f64 (/.f64 1 x) 3/2))
(.f64 (.f64 (pow.f64 x -2) 1) (/.f64 1 x))
(.f64 (.f64 (pow.f64 x -2) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))
(.f64 (.f64 (pow.f64 x -2) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(pow.f64 x -3)
(pow.f64 (pow.f64 x 3) -1)
(pow.f64 (pow.f64 x -3) 1)
(pow.f64 (/.f64 1 x) 3)
(pow.f64 (pow.f64 x -3/2) 2)
(pow.f64 (pow.f64 x -9) 1/3)
(sqrt.f64 (pow.f64 x -6))
(log.f64 (exp.f64 (pow.f64 x -3)))
(cbrt.f64 (pow.f64 x -9))
(expm1.f64 (log1p.f64 (pow.f64 x -3)))
(log1p.f64 (expm1.f64 (pow.f64 x -3)))
(exp.f64 (*.f64 (log.f64 x) -3))
(+.f64 (/.f64 1 x) (neg.f64 (pow.f64 x -3)))
(+.f64 (/.f64 1 x) (*.f64 (neg.f64 (pow.f64 x -3)) 1))
(+.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3)) (fma.f64 (neg.f64 (pow.f64 x -3)) 1 (pow.f64 x -3)))
(+.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3)) (fma.f64 (neg.f64 (/.f64 1 x)) (pow.f64 x -2) (pow.f64 x -3)))
(+.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3)) (fma.f64 (neg.f64 (pow.f64 x -3/2)) (pow.f64 x -3/2) (pow.f64 x -3)))
(+.f64 (neg.f64 (pow.f64 x -3)) (/.f64 1 x))
(*.f64 1 (-.f64 (/.f64 1 x) (pow.f64 x -3)))
(*.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3)) 1)
(*.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3))) 2) (cbrt.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3))))
(*.f64 (sqrt.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3))) (sqrt.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3))))
(*.f64 (-.f64 (pow.f64 x 3) x) (pow.f64 x -4))
(*.f64 (-.f64 (pow.f64 x -3) (pow.f64 x -9)) (/.f64 1 (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 x -6) (pow.f64 x -4)))))
(*.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -6)) (/.f64 1 (+.f64 (pow.f64 x -3) (/.f64 1 x))))
(*.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 x -3/2)) (-.f64 (pow.f64 x -1/2) (pow.f64 x -3/2)))
(/.f64 1 (/.f64 (pow.f64 x 4) (-.f64 (pow.f64 x 3) x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 x -6) (pow.f64 x -4))) (-.f64 (pow.f64 x -3) (pow.f64 x -9))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x -3) (/.f64 1 x)) (-.f64 (pow.f64 x -2) (pow.f64 x -6))))
(/.f64 (-.f64 (pow.f64 x 3) x) (pow.f64 x 4))
(/.f64 (-.f64 (pow.f64 x -3) (pow.f64 x -9)) (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 x -6) (pow.f64 x -4))))
(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -6)) (+.f64 (pow.f64 x -3) (/.f64 1 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) x)) (neg.f64 (pow.f64 x 4)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x -3) (pow.f64 x -9))) (neg.f64 (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 x -6) (pow.f64 x -4)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -6))) (neg.f64 (+.f64 (pow.f64 x -3) (/.f64 1 x))))
(/.f64 (-.f64 (neg.f64 (pow.f64 x 3)) (.f64 (neg.f64 x) 1)) (.f64 (neg.f64 x) (pow.f64 x 3)))
(/.f64 (-.f64 (neg.f64 (pow.f64 x 3)) (.f64 x -1)) (.f64 x (neg.f64 (pow.f64 x 3))))
(/.f64 (-.f64 (.f64 -1 (neg.f64 (pow.f64 x 3))) (.f64 (neg.f64 x) -1)) (*.f64 (neg.f64 x) (neg.f64 (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (neg.f64 (pow.f64 x -3)) 3)) (+.f64 (pow.f64 x -2) (-.f64 (.f64 (neg.f64 (pow.f64 x -3)) (neg.f64 (pow.f64 x -3))) (.f64 (/.f64 1 x) (neg.f64 (pow.f64 x -3))))))
(/.f64 (-.f64 (pow.f64 x -2) (*.f64 (neg.f64 (pow.f64 x -3)) (neg.f64 (pow.f64 x -3)))) (-.f64 (/.f64 1 x) (neg.f64 (pow.f64 x -3))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) x) x) (pow.f64 x 3))
(pow.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3)) 1)
(pow.f64 (pow.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3)) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3))) 3)
(pow.f64 (sqrt.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3))) 2)
(sqrt.f64 (pow.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3)) 2))
(log.f64 (exp.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3)) 3))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3))))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3))))
(exp.f64 (log.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3))))
(fma.f64 1 (/.f64 1 x) (neg.f64 (pow.f64 x -3)))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (neg.f64 (pow.f64 x -3)))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (neg.f64 (pow.f64 x -3)))

Outputs
(/.f64 -1 (pow.f64 x 3))
(neg.f64 (pow.f64 x -3))
(/.f64 1 x)
(/.f64 1 x)
(-.f64 (+.f64 1 (pow.f64 x -3)) 1)
(+.f64 1 (-.f64 (pow.f64 x -3) 1))
(+.f64 (pow.f64 x -3) 0)
(pow.f64 x -3)
(*.f64 1 (pow.f64 x -3))
(+.f64 1 (-.f64 (pow.f64 x -3) 1))
(+.f64 (pow.f64 x -3) 0)
(pow.f64 x -3)
(*.f64 (pow.f64 x -3) 1)
(+.f64 1 (-.f64 (pow.f64 x -3) 1))
(+.f64 (pow.f64 x -3) 0)
(pow.f64 x -3)
(*.f64 (/.f64 1 x) (pow.f64 x -2))
(+.f64 1 (-.f64 (pow.f64 x -3) 1))
(+.f64 (pow.f64 x -3) 0)
(pow.f64 x -3)
(*.f64 (pow.f64 x -2) (/.f64 1 x))
(+.f64 1 (-.f64 (pow.f64 x -3) 1))
(+.f64 (pow.f64 x -3) 0)
(pow.f64 x -3)
(*.f64 (pow.f64 x -3/2) (pow.f64 x -3/2))
(+.f64 1 (-.f64 (pow.f64 x -3) 1))
(+.f64 (pow.f64 x -3) 0)
(pow.f64 x -3)
(*.f64 -1 (neg.f64 (pow.f64 x -3)))
(+.f64 1 (-.f64 (pow.f64 x -3) 1))
(+.f64 (pow.f64 x -3) 0)
(pow.f64 x -3)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 3) (/.f64 1 x))
(+.f64 1 (-.f64 (pow.f64 x -3) 1))
(+.f64 (pow.f64 x -3) 0)
(pow.f64 x -3)
(*.f64 (pow.f64 (pow.f64 x -1/2) 3) (pow.f64 (pow.f64 x -1/2) 3))
(+.f64 1 (-.f64 (pow.f64 x -3) 1))
(+.f64 (pow.f64 x -3) 0)
(pow.f64 x -3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -3) (pow.f64 (cbrt.f64 x) -3))
(*.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (sqrt.f64 x) -3))
(pow.f64 (sqrt.f64 x) -6)
(*.f64 (pow.f64 (pow.f64 x 3/2) -1) (pow.f64 (pow.f64 x 3/2) -1))
(+.f64 1 (-.f64 (pow.f64 x -3) 1))
(+.f64 (pow.f64 x -3) 0)
(pow.f64 x -3)
(*.f64 (pow.f64 (/.f64 1 x) 3/2) (pow.f64 (/.f64 1 x) 3/2))
(+.f64 1 (-.f64 (pow.f64 x -3) 1))
(+.f64 (pow.f64 x -3) 0)
(pow.f64 x -3)
(.f64 (.f64 (pow.f64 x -2) 1) (/.f64 1 x))
(+.f64 1 (-.f64 (pow.f64 x -3) 1))
(+.f64 (pow.f64 x -3) 0)
(pow.f64 x -3)
(.f64 (.f64 (pow.f64 x -2) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))
(.f64 (pow.f64 x -2) (.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 4) (cbrt.f64 x))
(.f64 (.f64 (pow.f64 x -2) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(+.f64 1 (-.f64 (pow.f64 x -3) 1))
(+.f64 (pow.f64 x -3) 0)
(pow.f64 x -3)
(pow.f64 x -3)
(+.f64 1 (-.f64 (pow.f64 x -3) 1))
(+.f64 (pow.f64 x -3) 0)
(pow.f64 (pow.f64 x 3) -1)
(+.f64 1 (-.f64 (pow.f64 x -3) 1))
(+.f64 (pow.f64 x -3) 0)
(pow.f64 x -3)
(pow.f64 (pow.f64 x -3) 1)
(+.f64 1 (-.f64 (pow.f64 x -3) 1))
(+.f64 (pow.f64 x -3) 0)
(pow.f64 x -3)
(pow.f64 (/.f64 1 x) 3)
(+.f64 1 (-.f64 (pow.f64 x -3) 1))
(+.f64 (pow.f64 x -3) 0)
(pow.f64 x -3)
(pow.f64 (pow.f64 x -3/2) 2)
(+.f64 1 (-.f64 (pow.f64 x -3) 1))
(+.f64 (pow.f64 x -3) 0)
(pow.f64 x -3)
(pow.f64 (pow.f64 x -9) 1/3)
(cbrt.f64 (pow.f64 x -9))
(sqrt.f64 (pow.f64 x -6))
(+.f64 1 (-.f64 (pow.f64 x -3) 1))
(+.f64 (pow.f64 x -3) 0)
(pow.f64 x -3)
(log.f64 (exp.f64 (pow.f64 x -3)))
(+.f64 1 (-.f64 (pow.f64 x -3) 1))
(+.f64 (pow.f64 x -3) 0)
(pow.f64 x -3)
(cbrt.f64 (pow.f64 x -9))
(expm1.f64 (log1p.f64 (pow.f64 x -3)))
(+.f64 1 (-.f64 (pow.f64 x -3) 1))
(+.f64 (pow.f64 x -3) 0)
(pow.f64 x -3)
(log1p.f64 (expm1.f64 (pow.f64 x -3)))
(+.f64 1 (-.f64 (pow.f64 x -3) 1))
(+.f64 (pow.f64 x -3) 0)
(pow.f64 x -3)
(exp.f64 (*.f64 (log.f64 x) -3))
(+.f64 1 (-.f64 (pow.f64 x -3) 1))
(+.f64 (pow.f64 x -3) 0)
(pow.f64 x -3)
(+.f64 (/.f64 1 x) (neg.f64 (pow.f64 x -3)))
(-.f64 (/.f64 1 x) (pow.f64 x -3))
(/.f64 (-.f64 1 (pow.f64 x -2)) x)
(+.f64 (/.f64 1 x) (*.f64 (neg.f64 (pow.f64 x -3)) 1))
(-.f64 (/.f64 1 x) (pow.f64 x -3))
(/.f64 (-.f64 1 (pow.f64 x -2)) x)
(+.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3)) (fma.f64 (neg.f64 (pow.f64 x -3)) 1 (pow.f64 x -3)))
(-.f64 (/.f64 1 x) (pow.f64 x -3))
(/.f64 (-.f64 1 (pow.f64 x -2)) x)
(+.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3)) (fma.f64 (neg.f64 (/.f64 1 x)) (pow.f64 x -2) (pow.f64 x -3)))
(-.f64 (/.f64 1 x) (pow.f64 x -3))
(/.f64 (-.f64 1 (pow.f64 x -2)) x)
(+.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3)) (fma.f64 (neg.f64 (pow.f64 x -3/2)) (pow.f64 x -3/2) (pow.f64 x -3)))
(-.f64 (/.f64 1 x) (pow.f64 x -3))
(/.f64 (-.f64 1 (pow.f64 x -2)) x)
(+.f64 (neg.f64 (pow.f64 x -3)) (/.f64 1 x))
(-.f64 (/.f64 1 x) (pow.f64 x -3))
(/.f64 (-.f64 1 (pow.f64 x -2)) x)
(*.f64 1 (-.f64 (/.f64 1 x) (pow.f64 x -3)))
(-.f64 (/.f64 1 x) (pow.f64 x -3))
(/.f64 (-.f64 1 (pow.f64 x -2)) x)
(*.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3)) 1)
(-.f64 (/.f64 1 x) (pow.f64 x -3))
(/.f64 (-.f64 1 (pow.f64 x -2)) x)
(*.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3))) 2))
(-.f64 (/.f64 1 x) (pow.f64 x -3))
(/.f64 (-.f64 1 (pow.f64 x -2)) x)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3))) 2) (cbrt.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3))))
(-.f64 (/.f64 1 x) (pow.f64 x -3))
(/.f64 (-.f64 1 (pow.f64 x -2)) x)
(*.f64 (sqrt.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3))) (sqrt.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3))))
(-.f64 (/.f64 1 x) (pow.f64 x -3))
(/.f64 (-.f64 1 (pow.f64 x -2)) x)
(*.f64 (-.f64 (pow.f64 x 3) x) (pow.f64 x -4))
(-.f64 (/.f64 1 x) (pow.f64 x -3))
(/.f64 (-.f64 1 (pow.f64 x -2)) x)
(*.f64 (-.f64 (pow.f64 x -3) (pow.f64 x -9)) (/.f64 1 (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 x -6) (pow.f64 x -4)))))
(*.f64 (-.f64 (pow.f64 x -3) (pow.f64 x -9)) (/.f64 1 (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 x -4) (pow.f64 x -6)))))
(/.f64 (-.f64 (pow.f64 x -3) (pow.f64 x -9)) (+.f64 (pow.f64 x -6) (+.f64 (pow.f64 x -4) (pow.f64 x -2))))
(/.f64 (-.f64 (pow.f64 x -3) (pow.f64 x -9)) (+.f64 (pow.f64 x -4) (+.f64 (pow.f64 x -2) (pow.f64 x -6))))
(*.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -6)) (/.f64 1 (+.f64 (pow.f64 x -3) (/.f64 1 x))))
(*.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -6)) (/.f64 1 (+.f64 (/.f64 1 x) (pow.f64 x -3))))
(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -6)) (+.f64 (/.f64 1 x) (pow.f64 x -3)))
(*.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 x -3/2)) (-.f64 (pow.f64 x -1/2) (pow.f64 x -3/2)))
(-.f64 (/.f64 1 x) (pow.f64 x -3))
(/.f64 (-.f64 1 (pow.f64 x -2)) x)
(/.f64 1 (/.f64 (pow.f64 x 4) (-.f64 (pow.f64 x 3) x)))
(-.f64 (/.f64 1 x) (pow.f64 x -3))
(/.f64 (-.f64 1 (pow.f64 x -2)) x)
(/.f64 1 (/.f64 (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 x -6) (pow.f64 x -4))) (-.f64 (pow.f64 x -3) (pow.f64 x -9))))
(*.f64 (-.f64 (pow.f64 x -3) (pow.f64 x -9)) (/.f64 1 (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 x -4) (pow.f64 x -6)))))
(/.f64 (-.f64 (pow.f64 x -3) (pow.f64 x -9)) (+.f64 (pow.f64 x -6) (+.f64 (pow.f64 x -4) (pow.f64 x -2))))
(/.f64 (-.f64 (pow.f64 x -3) (pow.f64 x -9)) (+.f64 (pow.f64 x -4) (+.f64 (pow.f64 x -2) (pow.f64 x -6))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x -3) (/.f64 1 x)) (-.f64 (pow.f64 x -2) (pow.f64 x -6))))
(*.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -6)) (/.f64 1 (+.f64 (/.f64 1 x) (pow.f64 x -3))))
(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -6)) (+.f64 (/.f64 1 x) (pow.f64 x -3)))
(/.f64 (-.f64 (pow.f64 x 3) x) (pow.f64 x 4))
(-.f64 (/.f64 1 x) (pow.f64 x -3))
(/.f64 (-.f64 1 (pow.f64 x -2)) x)
(/.f64 (-.f64 (pow.f64 x -3) (pow.f64 x -9)) (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 x -6) (pow.f64 x -4))))
(*.f64 (-.f64 (pow.f64 x -3) (pow.f64 x -9)) (/.f64 1 (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 x -4) (pow.f64 x -6)))))
(/.f64 (-.f64 (pow.f64 x -3) (pow.f64 x -9)) (+.f64 (pow.f64 x -6) (+.f64 (pow.f64 x -4) (pow.f64 x -2))))
(/.f64 (-.f64 (pow.f64 x -3) (pow.f64 x -9)) (+.f64 (pow.f64 x -4) (+.f64 (pow.f64 x -2) (pow.f64 x -6))))
(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -6)) (+.f64 (pow.f64 x -3) (/.f64 1 x)))
(*.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -6)) (/.f64 1 (+.f64 (/.f64 1 x) (pow.f64 x -3))))
(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -6)) (+.f64 (/.f64 1 x) (pow.f64 x -3)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) x)) (neg.f64 (pow.f64 x 4)))
(-.f64 (/.f64 1 x) (pow.f64 x -3))
(/.f64 (-.f64 1 (pow.f64 x -2)) x)
(/.f64 (neg.f64 (-.f64 (pow.f64 x -3) (pow.f64 x -9))) (neg.f64 (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 x -6) (pow.f64 x -4)))))
(*.f64 (-.f64 (pow.f64 x -3) (pow.f64 x -9)) (/.f64 1 (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 x -4) (pow.f64 x -6)))))
(/.f64 (-.f64 (pow.f64 x -3) (pow.f64 x -9)) (+.f64 (pow.f64 x -6) (+.f64 (pow.f64 x -4) (pow.f64 x -2))))
(/.f64 (-.f64 (pow.f64 x -3) (pow.f64 x -9)) (+.f64 (pow.f64 x -4) (+.f64 (pow.f64 x -2) (pow.f64 x -6))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -6))) (neg.f64 (+.f64 (pow.f64 x -3) (/.f64 1 x))))
(*.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -6)) (/.f64 1 (+.f64 (/.f64 1 x) (pow.f64 x -3))))
(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -6)) (+.f64 (/.f64 1 x) (pow.f64 x -3)))
(/.f64 (-.f64 (neg.f64 (pow.f64 x 3)) (.f64 (neg.f64 x) 1)) (.f64 (neg.f64 x) (pow.f64 x 3)))
(-.f64 (/.f64 1 x) (pow.f64 x -3))
(/.f64 (-.f64 1 (pow.f64 x -2)) x)
(/.f64 (-.f64 (neg.f64 (pow.f64 x 3)) (.f64 x -1)) (.f64 x (neg.f64 (pow.f64 x 3))))
(-.f64 (/.f64 1 x) (pow.f64 x -3))
(/.f64 (-.f64 1 (pow.f64 x -2)) x)
(/.f64 (-.f64 (.f64 -1 (neg.f64 (pow.f64 x 3))) (.f64 (neg.f64 x) -1)) (*.f64 (neg.f64 x) (neg.f64 (pow.f64 x 3))))
(-.f64 (/.f64 1 x) (pow.f64 x -3))
(/.f64 (-.f64 1 (pow.f64 x -2)) x)
(/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (neg.f64 (pow.f64 x -3)) 3)) (+.f64 (pow.f64 x -2) (-.f64 (.f64 (neg.f64 (pow.f64 x -3)) (neg.f64 (pow.f64 x -3))) (.f64 (/.f64 1 x) (neg.f64 (pow.f64 x -3))))))
(/.f64 (+.f64 (pow.f64 x -3) (pow.f64 (neg.f64 (pow.f64 x -3)) 3)) (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 x -6) (/.f64 (neg.f64 (pow.f64 x -3)) x))))
(/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (pow.f64 x -3) 3)) (+.f64 (pow.f64 x -2) (+.f64 (pow.f64 x -6) (/.f64 (pow.f64 x -3) x))))
(/.f64 (-.f64 (pow.f64 x -3) (pow.f64 (pow.f64 x -3) 3)) (+.f64 (pow.f64 x -4) (+.f64 (pow.f64 x -2) (pow.f64 x -6))))
(/.f64 (-.f64 (pow.f64 x -2) (*.f64 (neg.f64 (pow.f64 x -3)) (neg.f64 (pow.f64 x -3)))) (-.f64 (/.f64 1 x) (neg.f64 (pow.f64 x -3))))
(*.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -6)) (/.f64 1 (+.f64 (/.f64 1 x) (pow.f64 x -3))))
(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 x -6)) (+.f64 (/.f64 1 x) (pow.f64 x -3)))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) x) x) (pow.f64 x 3))
(-.f64 (/.f64 1 x) (pow.f64 x -3))
(/.f64 (-.f64 1 (pow.f64 x -2)) x)
(pow.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3)) 1)
(-.f64 (/.f64 1 x) (pow.f64 x -3))
(/.f64 (-.f64 1 (pow.f64 x -2)) x)
(pow.f64 (pow.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3)) 3) 1/3)
(-.f64 (/.f64 1 x) (pow.f64 x -3))
(/.f64 (-.f64 1 (pow.f64 x -2)) x)
(pow.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3))) 3)
(-.f64 (/.f64 1 x) (pow.f64 x -3))
(/.f64 (-.f64 1 (pow.f64 x -2)) x)
(pow.f64 (sqrt.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3))) 2)
(-.f64 (/.f64 1 x) (pow.f64 x -3))
(/.f64 (-.f64 1 (pow.f64 x -2)) x)
(sqrt.f64 (pow.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3)) 2))
(-.f64 (/.f64 1 x) (pow.f64 x -3))
(/.f64 (-.f64 1 (pow.f64 x -2)) x)
(log.f64 (exp.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3))))
(-.f64 (/.f64 1 x) (pow.f64 x -3))
(/.f64 (-.f64 1 (pow.f64 x -2)) x)
(cbrt.f64 (pow.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3)) 3))
(-.f64 (/.f64 1 x) (pow.f64 x -3))
(/.f64 (-.f64 1 (pow.f64 x -2)) x)
(expm1.f64 (log1p.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3))))
(-.f64 (/.f64 1 x) (pow.f64 x -3))
(/.f64 (-.f64 1 (pow.f64 x -2)) x)
(log1p.f64 (expm1.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3))))
(-.f64 (/.f64 1 x) (pow.f64 x -3))
(/.f64 (-.f64 1 (pow.f64 x -2)) x)
(exp.f64 (log.f64 (-.f64 (/.f64 1 x) (pow.f64 x -3))))
(-.f64 (/.f64 1 x) (pow.f64 x -3))
(/.f64 (-.f64 1 (pow.f64 x -2)) x)
(fma.f64 1 (/.f64 1 x) (neg.f64 (pow.f64 x -3)))
(-.f64 (/.f64 1 x) (pow.f64 x -3))
(/.f64 (-.f64 1 (pow.f64 x -2)) x)
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (neg.f64 (pow.f64 x -3)))
(-.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x))) (pow.f64 x -3))
(-.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 x)) (pow.f64 x -3))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (neg.f64 (pow.f64 x -3)))
(-.f64 (/.f64 1 x) (pow.f64 x -3))
(/.f64 (-.f64 1 (pow.f64 x -2)) x)

localize27.0ms (1.1%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

eval150.0ms (6.1%)

Compiler: Compiled 5072 to 3779 computations (25.5% saved)

prune80.0ms (3.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	346	2	348
Fresh	0	1	1
Picked	0	1	1
Done	3	1	4
Total	349	5	354

Error

Counts

354 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.9b	(/.f64 (-.f64 1 (pow.f64 x -2)) x)
✓	15.5b	(/.f64 x (+.f64 (*.f64 x x) 1))
✓	30.0b	(/.f64 1 x)
▶	32.9b	(.f64 x (-.f64 1 (.f64 x x)))
	31.8b	x

Compiler

Compiled 30 to 20 computations (33.3% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1 (*.f64 x x))
✓	0.0b	(.f64 x (-.f64 1 (.f64 x x)))

Compiler

Compiled 18 to 8 computations (55.6% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(.f64 x (-.f64 1 (.f64 x x)))
0.0ms	x	@	inf	(.f64 x (-.f64 1 (.f64 x x)))
0.0ms	x	@	-inf	(.f64 x (-.f64 1 (.f64 x x)))
0.0ms	x	@	inf	(-.f64 1 (*.f64 x x))
0.0ms	x	@	-inf	(-.f64 1 (*.f64 x x))

rewrite45.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

614×	`pow1_binary64`
574×	`add-log-exp_binary64`
573×	`log1p-expm1-u_binary64`
573×	`expm1-log1p-u_binary64`
562×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	126	17
2	1599	17

Stop Event

1×	node limit

Counts

2 → 45

Calls

Call 1

Inputs
(.f64 x (-.f64 1 (.f64 x x)))
(-.f64 1 (*.f64 x x))

Outputs

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

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

simplify62.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

582×	`div-sub_binary64`
454×	`fma-neg_binary64`
396×	`log-prod_binary64`
392×	`unswap-sqr_binary64`
364×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	113	685
1	278	619
2	1056	617
3	4759	607

Stop Event

1×	node limit

Counts

69 → 69

Calls

Call 1

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

Outputs
x
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(*.f64 -1 (pow.f64 x 3))
(neg.f64 (pow.f64 x 3))
(pow.f64 (neg.f64 x) 3)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(*.f64 -1 (pow.f64 x 3))
(neg.f64 (pow.f64 x 3))
(pow.f64 (neg.f64 x) 3)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(fma.f64 x (neg.f64 x) 1)
(-.f64 1 (*.f64 x x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(fma.f64 x (neg.f64 x) 1)
(-.f64 1 (*.f64 x x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(fma.f64 x (neg.f64 x) 1)
(-.f64 1 (*.f64 x x))
(*.f64 -1 (pow.f64 x 2))
(*.f64 x (neg.f64 x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(fma.f64 x (neg.f64 x) 1)
(-.f64 1 (*.f64 x x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(fma.f64 x (neg.f64 x) 1)
(-.f64 1 (*.f64 x x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(fma.f64 x (neg.f64 x) 1)
(-.f64 1 (*.f64 x x))
(*.f64 -1 (pow.f64 x 2))
(*.f64 x (neg.f64 x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(fma.f64 x (neg.f64 x) 1)
(-.f64 1 (*.f64 x x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(fma.f64 x (neg.f64 x) 1)
(-.f64 1 (*.f64 x x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(fma.f64 x (neg.f64 x) 1)
(-.f64 1 (*.f64 x x))
(+.f64 x (.f64 (.f64 x (neg.f64 x)) x))
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(+.f64 x (.f64 x (.f64 x (neg.f64 x))))
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(-.f64 (+.f64 1 (.f64 x (-.f64 1 (.f64 x x)))) 1)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(/.f64 (.f64 (-.f64 1 (pow.f64 x 6)) x) (+.f64 1 (+.f64 (.f64 x x) (pow.f64 x 4))))
(/.f64 (-.f64 1 (pow.f64 x 6)) (/.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))) x))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 x 6))) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(*.f64 x (/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 1 (fma.f64 x x (pow.f64 x 4)))))
(/.f64 (-.f64 x (pow.f64 x 7)) (+.f64 (fma.f64 x x 1) (pow.f64 x 4)))
(/.f64 (.f64 (-.f64 1 (pow.f64 x 4)) x) (+.f64 1 (.f64 x x)))
(/.f64 (.f64 x (-.f64 1 (pow.f64 x 4))) (+.f64 1 (.f64 x x)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 x 4)) (fma.f64 x x 1)) x)
(/.f64 (+.f64 x (neg.f64 (pow.f64 x 5))) (fma.f64 x x 1))
(/.f64 (-.f64 x (pow.f64 x 5)) (fma.f64 x x 1))
(/.f64 (.f64 x (-.f64 1 (pow.f64 x 6))) (+.f64 1 (+.f64 (.f64 x x) (pow.f64 x 4))))
(/.f64 (-.f64 1 (pow.f64 x 6)) (/.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))) x))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 x 6))) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(*.f64 x (/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 1 (fma.f64 x x (pow.f64 x 4)))))
(/.f64 (-.f64 x (pow.f64 x 7)) (+.f64 (fma.f64 x x 1) (pow.f64 x 4)))
(/.f64 (.f64 x (-.f64 1 (pow.f64 x 4))) (+.f64 1 (.f64 x x)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 x 4)) (fma.f64 x x 1)) x)
(/.f64 (+.f64 x (neg.f64 (pow.f64 x 5))) (fma.f64 x x 1))
(/.f64 (-.f64 x (pow.f64 x 5)) (fma.f64 x x 1))
(pow.f64 (.f64 x (-.f64 1 (.f64 x x))) 1)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(pow.f64 (pow.f64 (.f64 x (-.f64 1 (.f64 x x))) 3) 1/3)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 x x)))) 3)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(pow.f64 (sqrt.f64 (.f64 x (-.f64 1 (.f64 x x)))) 2)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(sqrt.f64 (pow.f64 (.f64 x (-.f64 1 (.f64 x x))) 2))
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1 (*.f64 x x))))
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(cbrt.f64 (pow.f64 (.f64 x (-.f64 1 (.f64 x x))) 3))
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(expm1.f64 (log1p.f64 (.f64 x (-.f64 1 (.f64 x x)))))
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(log1p.f64 (expm1.f64 (.f64 x (-.f64 1 (.f64 x x)))))
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(exp.f64 (log.f64 (.f64 x (-.f64 1 (.f64 x x)))))
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(+.f64 1 (*.f64 x (neg.f64 x)))
(fma.f64 x (neg.f64 x) 1)
(-.f64 1 (*.f64 x x))
(+.f64 1 (.f64 (.f64 x (neg.f64 x)) 1))
(fma.f64 x (neg.f64 x) 1)
(-.f64 1 (*.f64 x x))
(+.f64 (*.f64 x (neg.f64 x)) 1)
(fma.f64 x (neg.f64 x) 1)
(-.f64 1 (*.f64 x x))
(.f64 1 (-.f64 1 (.f64 x x)))
(fma.f64 x (neg.f64 x) 1)
(-.f64 1 (*.f64 x x))
(.f64 (-.f64 1 (.f64 x x)) 1)
(fma.f64 x (neg.f64 x) 1)
(-.f64 1 (*.f64 x x))
(.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2))
(fma.f64 x (neg.f64 x) 1)
(-.f64 1 (*.f64 x x))
(.f64 (pow.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) 2) (cbrt.f64 (-.f64 1 (*.f64 x x))))
(fma.f64 x (neg.f64 x) 1)
(-.f64 1 (*.f64 x x))
(.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(fma.f64 x (neg.f64 x) 1)
(-.f64 1 (*.f64 x x))
(.f64 (-.f64 1 (pow.f64 x 6)) (/.f64 1 (+.f64 1 (+.f64 (.f64 x x) (pow.f64 x 4)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 6)) 1) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 (fma.f64 x x 1) (pow.f64 x 4)))
(.f64 (-.f64 1 (pow.f64 x 4)) (/.f64 1 (+.f64 1 (.f64 x x))))
(/.f64 (-.f64 1 (pow.f64 x 4)) (fma.f64 x x 1))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))) (-.f64 1 (pow.f64 x 6))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 6)) 1) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 (fma.f64 x x 1) (pow.f64 x 4)))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 x x)) (-.f64 1 (pow.f64 x 4))))
(.f64 (-.f64 1 (pow.f64 x 4)) (/.f64 1 (+.f64 1 (.f64 x x))))
(/.f64 (-.f64 1 (pow.f64 x 4)) (fma.f64 x x 1))
(/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 6)) 1) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 (fma.f64 x x 1) (pow.f64 x 4)))
(/.f64 (-.f64 1 (pow.f64 x 4)) (+.f64 1 (*.f64 x x)))
(.f64 (-.f64 1 (pow.f64 x 4)) (/.f64 1 (+.f64 1 (.f64 x x))))
(/.f64 (-.f64 1 (pow.f64 x 4)) (fma.f64 x x 1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 x 6))) (neg.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 6)) 1) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 (fma.f64 x x 1) (pow.f64 x 4)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 x 4))) (neg.f64 (+.f64 1 (*.f64 x x))))
(.f64 (-.f64 1 (pow.f64 x 4)) (/.f64 1 (+.f64 1 (.f64 x x))))
(/.f64 (-.f64 1 (pow.f64 x 4)) (fma.f64 x x 1))
(/.f64 (+.f64 1 (pow.f64 (.f64 x (neg.f64 x)) 3)) (+.f64 1 (-.f64 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x))) (*.f64 x (neg.f64 x)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 6)) 1) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 (fma.f64 x x 1) (pow.f64 x 4)))
(/.f64 (-.f64 1 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)))) (-.f64 1 (.f64 x (neg.f64 x))))
(.f64 (-.f64 1 (pow.f64 x 4)) (/.f64 1 (+.f64 1 (.f64 x x))))
(/.f64 (-.f64 1 (pow.f64 x 4)) (fma.f64 x x 1))
(pow.f64 (-.f64 1 (*.f64 x x)) 1)
(fma.f64 x (neg.f64 x) 1)
(-.f64 1 (*.f64 x x))
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3) 1/3)
(fma.f64 x (neg.f64 x) 1)
(-.f64 1 (*.f64 x x))
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 3)
(fma.f64 x (neg.f64 x) 1)
(-.f64 1 (*.f64 x x))
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 2)
(fma.f64 x (neg.f64 x) 1)
(-.f64 1 (*.f64 x x))
(sqrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2))
(fma.f64 x (neg.f64 x) 1)
(-.f64 1 (*.f64 x x))
(log.f64 (exp.f64 (-.f64 1 (*.f64 x x))))
(fma.f64 x (neg.f64 x) 1)
(-.f64 1 (*.f64 x x))
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3))
(fma.f64 x (neg.f64 x) 1)
(-.f64 1 (*.f64 x x))
(expm1.f64 (log1p.f64 (-.f64 1 (*.f64 x x))))
(fma.f64 x (neg.f64 x) 1)
(-.f64 1 (*.f64 x x))
(log1p.f64 (expm1.f64 (-.f64 1 (*.f64 x x))))
(fma.f64 x (neg.f64 x) 1)
(-.f64 1 (*.f64 x x))
(exp.f64 (log1p.f64 (*.f64 x (neg.f64 x))))
(fma.f64 x (neg.f64 x) 1)
(-.f64 1 (*.f64 x x))

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 1 (pow.f64 x -2)) x)

Compiler

Compiled 19 to 14 computations (26.3% saved)

series15.0ms (0.6%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
13.0ms	x	@	inf	(/.f64 (-.f64 1 (pow.f64 x -2)) x)
1.0ms	x	@	-inf	(/.f64 (-.f64 1 (pow.f64 x -2)) x)
1.0ms	x	@	0	(/.f64 (-.f64 1 (pow.f64 x -2)) x)

rewrite40.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

831×	`pow1_binary64`
784×	`add-log-exp_binary64`
782×	`log1p-expm1-u_binary64`
782×	`expm1-log1p-u_binary64`
768×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	158	10
2	2082	10

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

Inputs
(/.f64 (-.f64 1 (pow.f64 x -2)) x)

Outputs

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

simplify39.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

805×	`fma-def_binary64`
371×	`associate-l_binary64`
333×	`associate-r_binary64`
286×	`div-sub_binary64`
251×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	89	533
1	228	533
2	785	467
3	4462	464

Stop Event

1×	node limit

Counts

45 → 39

Calls

Call 1

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

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

eval54.0ms (2.2%)

Compiler: Compiled 1253 to 831 computations (33.7% saved)

prune15.0ms (0.6%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	108	5	113

Error

Counts

113 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	30.9b	(/.f64 (-.f64 1 (pow.f64 x -2)) x)
✓	15.5b	(/.f64 x (+.f64 (*.f64 x x) 1))
✓	30.0b	(/.f64 1 x)
✓	32.9b	(.f64 x (-.f64 1 (.f64 x x)))
	31.8b	x

Compiler

Compiled 30 to 20 computations (33.3% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	4	4
Total	5	5

Error

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	30.9b	(/.f64 (-.f64 1 (pow.f64 x -2)) x)
✓	15.5b	(/.f64 x (+.f64 (*.f64 x x) 1))
✓	30.0b	(/.f64 1 x)
✓	32.9b	(.f64 x (-.f64 1 (.f64 x x)))
	31.8b	x

Compiler

Compiled 30 to 20 computations (33.3% saved)

regimes39.0ms (1.6%)

Counts

8 → 1

Calls

Call 1

Inputs
x
(/.f64 1 x)
(.f64 x (-.f64 1 (.f64 x x)))
(/.f64 x (+.f64 (*.f64 x x) 1))
(-.f64 x (pow.f64 x 3))
(/.f64 (-.f64 1 (pow.f64 x -2)) x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(*.f64 (/.f64 1 (hypot.f64 1 x)) (/.f64 x (hypot.f64 1 x)))

Outputs
(*.f64 (/.f64 1 (hypot.f64 1 x)) (/.f64 x (hypot.f64 1 x)))

Calls

2 calls:

31.0ms	(/.f64 x (+.f64 (*.f64 x x) 1))
5.0ms	x

Results

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

Compiler

Compiled 61 to 39 computations (36.1% saved)

regimes29.0ms (1.2%)

Counts

7 → 3

Calls

Call 1

Inputs
x
(/.f64 1 x)
(.f64 x (-.f64 1 (.f64 x x)))
(/.f64 x (+.f64 (*.f64 x x) 1))
(-.f64 x (pow.f64 x 3))
(/.f64 (-.f64 1 (pow.f64 x -2)) x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))

Outputs
(/.f64 (-.f64 1 (pow.f64 x -2)) x)
(/.f64 x (+.f64 (*.f64 x x) 1))
(/.f64 (-.f64 1 (pow.f64 x -2)) x)

Calls

2 calls:

16.0ms	x
12.0ms	(/.f64 x (+.f64 (*.f64 x x) 1))

Results

Error	Segments	Branch
0.0b	3	`x`
0.0b	3	`(/.f64 x (+.f64 (*.f64 x x) 1))`

Compiler

Compiled 50 to 31 computations (38% saved)

bsearch5.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
3.0ms	5.015603817770569e-5	59057351.309445724
2.0ms	-1343148.555317317	-5919.394859111408

Results

4.0ms

48×

body

256

valid

Compiler

Compiled 66 to 47 computations (28.8% saved)

regimes27.0ms (1.1%)

Counts

5 → 3

Calls

Call 1

Inputs
x
(/.f64 1 x)
(.f64 x (-.f64 1 (.f64 x x)))
(/.f64 x (+.f64 (*.f64 x x) 1))
(-.f64 x (pow.f64 x 3))

Outputs
(/.f64 1 x)
(/.f64 x (+.f64 (*.f64 x x) 1))
(/.f64 1 x)

Calls

2 calls:

13.0ms	(/.f64 x (+.f64 (*.f64 x x) 1))
13.0ms	x

Results

Error	Segments	Branch
0.0b	3	`x`
0.0b	3	`(/.f64 x (+.f64 (*.f64 x x) 1))`

Compiler

Compiled 34 to 19 computations (44.1% saved)

bsearch10.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
7.0ms	59057351.309445724	128124266.80691385
2.0ms	-1.2821381860375603e+25	-7891765140418503000.0

Results

8.0ms

96×

body

256

valid

Compiler

Compiled 96 to 68 computations (29.2% saved)

regimes11.0ms (0.4%)

Counts

3 → 3

Calls

Call 1

Inputs
x
(/.f64 1 x)
(.f64 x (-.f64 1 (.f64 x x)))

Outputs
(/.f64 1 x)
(.f64 x (-.f64 1 (.f64 x x)))
(/.f64 1 x)

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
0.2b	3	`x`

Compiler

Compiled 14 to 8 computations (42.9% saved)

bsearch31.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	5.015603817770569e-5	59057351.309445724
17.0ms	-5919.394859111408	-2.7178019270334122e-8

Results

26.0ms

320×

body

256

valid

Compiler

Compiled 292 to 208 computations (28.8% saved)

regimes10.0ms (0.4%)

Accuracy

Total -61.2b remaining (-20291.2%)

Threshold costs -61.2b (-20291.2%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(/.f64 1 x)

Outputs
(/.f64 1 x)
x
(/.f64 1 x)

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
0.3b	3	`x`

Compiler

Compiled 7 to 4 computations (42.9% saved)

bsearch30.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	5.015603817770569e-5	59057351.309445724
15.0ms	-5919.394859111408	-2.7178019270334122e-8

Results

26.0ms

320×

body

256

valid

Compiler

Compiled 172 to 128 computations (25.6% saved)

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative_binary64`
5×	`*-commutative_binary64`
5×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	140
1	53	140
2	62	140
3	68	140
4	71	140

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 (/.f64 1 (hypot.f64 1 x)) (/.f64 x (hypot.f64 1 x)))
(if (<=.f64 x -1000000) (/.f64 (-.f64 1 (pow.f64 x -2)) x) (if (<=.f64 x 100) (/.f64 x (+.f64 (*.f64 x x) 1)) (/.f64 (-.f64 1 (pow.f64 x -2)) x)))
(if (<=.f64 x -10000000000000000905969664) (/.f64 1 x) (if (<=.f64 x 95000000) (/.f64 x (+.f64 (*.f64 x x) 1)) (/.f64 1 x)))
(if (<=.f64 x -7656119366529843/9007199254740992) (/.f64 1 x) (if (<=.f64 x 7746191359077253/9007199254740992) (.f64 x (-.f64 1 (.f64 x x))) (/.f64 1 x)))
(if (<=.f64 x -1) (/.f64 1 x) (if (<=.f64 x 1) x (/.f64 1 x)))
x

Outputs
(*.f64 (/.f64 1 (hypot.f64 1 x)) (/.f64 x (hypot.f64 1 x)))
(if (<=.f64 x -1000000) (/.f64 (-.f64 1 (pow.f64 x -2)) x) (if (<=.f64 x 100) (/.f64 x (+.f64 (*.f64 x x) 1)) (/.f64 (-.f64 1 (pow.f64 x -2)) x)))
(if (<=.f64 x -1000000) (/.f64 (-.f64 1 (pow.f64 x -2)) x) (if (<=.f64 x 100) (/.f64 x (+.f64 1 (*.f64 x x))) (/.f64 (-.f64 1 (pow.f64 x -2)) x)))
(if (<=.f64 x -10000000000000000905969664) (/.f64 1 x) (if (<=.f64 x 95000000) (/.f64 x (+.f64 (*.f64 x x) 1)) (/.f64 1 x)))
(if (<=.f64 x -10000000000000000905969664) (/.f64 1 x) (if (<=.f64 x 95000000) (/.f64 x (+.f64 1 (*.f64 x x))) (/.f64 1 x)))
(if (<=.f64 x -7656119366529843/9007199254740992) (/.f64 1 x) (if (<=.f64 x 7746191359077253/9007199254740992) (.f64 x (-.f64 1 (.f64 x x))) (/.f64 1 x)))
(if (<=.f64 x -1) (/.f64 1 x) (if (<=.f64 x 1) x (/.f64 1 x)))
x

Compiler

Compiled 104 to 72 computations (30.8% saved)

soundness175.0ms (7.2%)

Algorithm

1×	egg-herbie

Rules

619×	`fma-def_binary64`
516×	`associate-/l*_binary64`
417×	`associate-/r*_binary64`
304×	`fma-neg_binary64`
286×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	176	927
1	486	821
2	1847	749
3	7651	745

Stop Event

1×	node limit

Compiler

Compiled 1340 to 933 computations (30.4% saved)

end61.0ms (2.5%)

Compiler: Compiled 99 to 65 computations (34.3% saved)

Details

analyze3.0ms (0.1%)

sample961.0ms (39.4%)

preprocess17.0ms (0.7%)

simplify6.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.3%)

series2.0ms (0.1%)

rewrite41.0ms (1.7%)

simplify56.0ms (2.3%)

eval16.0ms (0.7%)

prune10.0ms (0.4%)

localize12.0ms (0.5%)

series4.0ms (0.2%)

rewrite53.0ms (2.2%)

simplify57.0ms (2.3%)

localize5.0ms (0.2%)

series2.0ms (0.1%)

rewrite39.0ms (1.6%)

simplify45.0ms (1.8%)

localize11.0ms (0.4%)

series3.0ms (0.1%)

rewrite53.0ms (2.2%)

simplify58.0ms (2.4%)

localize27.0ms (1.1%)

eval150.0ms (6.1%)

prune80.0ms (3.3%)

localize6.0ms (0.2%)

series2.0ms (0.1%)

rewrite45.0ms (1.8%)

simplify62.0ms (2.5%)

localize8.0ms (0.3%)

series15.0ms (0.6%)

rewrite40.0ms (1.7%)

simplify39.0ms (1.6%)

eval54.0ms (2.2%)

prune15.0ms (0.6%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes39.0ms (1.6%)

regimes29.0ms (1.2%)

bsearch5.0ms (0.2%)

regimes27.0ms (1.1%)

bsearch10.0ms (0.4%)

regimes11.0ms (0.4%)

bsearch31.0ms (1.3%)

regimes10.0ms (0.4%)

bsearch30.0ms (1.2%)

simplify8.0ms (0.3%)

soundness175.0ms (7.2%)

end61.0ms (2.5%)

Profiling