Details

analyze69.0ms (3.7%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	5
18.8%	18.7%	81.2%	0.1%	0%	0%	0%	6
43.8%	43.7%	56.2%	0.1%	0%	0%	0%	7
50%	50%	50%	0.1%	0%	0%	0%	8
67.2%	67.1%	32.8%	0.1%	0%	0%	0%	9
71.9%	71.8%	28.1%	0.1%	0%	0%	0%	10
82.4%	82.3%	17.6%	0.1%	0%	0%	0%	11
85.2%	85.1%	14.8%	0.1%	0%	0%	0%	12

Compiler

Compiled 10 to 7 computations (30% saved)

sample1.2s (63.6%)

Results

1.2s

8256×

body

256

valid

Bogosity

preprocess16.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

5×	`*-commutative_binary64`
4×	`associate-/l*_binary64`
4×	`associate-/r/_binary64`
2×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	19	20
2	27	20
3	33	20
4	35	20
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify8.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
2×	`associate-/r/_binary64`
1×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	13	10
2	17	10
3	20	10
4	21	10

Stop Event

1×

saturated

Counts

1 → 4

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 30 to 18 computations (40% saved)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	2	2	4
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	2	3	5

Error

0.0b

Counts

5 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	8.3b	(/.f64 (*.f64 x y) (+.f64 y 1))
▶	0.1b	(/.f64 x (/.f64 (+.f64 y 1) y))

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize9.0ms (0.5%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 x (/.f64 (+.f64 y 1) y))

Compiler

Compiled 20 to 12 computations (40% saved)

series4.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

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

rewrite51.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

926×	`pow1_binary64`
866×	`log1p-expm1-u_binary64`
866×	`expm1-log1p-u_binary64`
865×	`add-log-exp_binary64`
847×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	156	10
2	2315	10

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

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

Outputs

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

simplify54.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

903×	`fma-neg_binary64`
642×	`log-div_binary64`
502×	`associate-/l*_binary64`
496×	`associate-*l/_binary64`
373×	`associate-*r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	137	819
1	373	779
2	1240	768
3	6859	768

Stop Event

1×	node limit

Counts

65 → 76

Calls

Call 1

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

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

localize8.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	7.8b	(/.f64 (*.f64 x y) (+.f64 y 1))

Compiler

Compiled 18 to 9 computations (50% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite45.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

854×	`pow1_binary64`
797×	`log1p-expm1-u_binary64`
797×	`expm1-log1p-u_binary64`
796×	`add-log-exp_binary64`
780×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	150	10
2	2126	10

Stop Event

1×	node limit

Counts

1 → 43

Calls

Call 1

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

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

Outputs

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

simplify51.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

657×	`associate-/l*_binary64`
541×	`fma-neg_binary64`
423×	`times-frac_binary64`
417×	`associate-*l/_binary64`
352×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	146	821
1	402	800
2	1321	787
3	6351	787

Stop Event

1×	node limit

Counts

67 → 89

Calls

Call 1

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

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

eval38.0ms (2%)

Compiler: Compiled 2065 to 1149 computations (44.4% saved)

prune22.0ms (1.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	162	3	165
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	162	5	167

Error

Counts

167 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	8.3b	(/.f64 (*.f64 x y) (+.f64 y 1))
✓	0.1b	(/.f64 x (/.f64 (+.f64 y 1) y))
▶	30.5b	(-.f64 x (/.f64 x y))
▶	33.0b	(*.f64 y x)
	29.9b	x

Compiler

Compiled 33 to 21 computations (36.4% saved)

localize3.0ms (0.1%)

Compiler: Compiled 7 to 3 computations (57.1% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (/.f64 x y))

Compiler

Compiled 12 to 4 computations (66.7% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite46.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

726×	`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: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	116	7
2	1789	7

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

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

simplify43.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

922×	`div-sub_binary64`
461×	`fma-neg_binary64`
403×	`fma-def_binary64`
204×	`associate-/l*_binary64`
185×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	107	778
1	287	607
2	1031	547
3	4609	547

Stop Event

1×	node limit

Counts

60 → 47

Calls

Call 1

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

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

eval7.0ms (0.4%)

Compiler: Compiled 559 to 181 computations (67.6% saved)

prune9.0ms (0.5%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	47	0	47
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	47	5	52

Error

Counts

52 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	8.3b	(/.f64 (*.f64 x y) (+.f64 y 1))
✓	0.1b	(/.f64 x (/.f64 (+.f64 y 1) y))
✓	30.5b	(-.f64 x (/.f64 x y))
✓	33.0b	(*.f64 y x)
	29.9b	x

Compiler

Compiled 33 to 21 computations (36.4% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 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
✓	8.3b	(/.f64 (*.f64 x y) (+.f64 y 1))
✓	0.1b	(/.f64 x (/.f64 (+.f64 y 1) y))
✓	30.5b	(-.f64 x (/.f64 x y))
✓	33.0b	(*.f64 y x)
	29.9b	x

Compiler

Compiled 33 to 21 computations (36.4% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 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
✓	8.3b	(/.f64 (*.f64 x y) (+.f64 y 1))
✓	0.1b	(/.f64 x (/.f64 (+.f64 y 1) y))
✓	30.5b	(-.f64 x (/.f64 x y))
✓	33.0b	(*.f64 y x)
	29.9b	x

Compiler

Compiled 33 to 21 computations (36.4% saved)

regimes16.0ms (0.9%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	(/.f64 (*.f64 x y) (+.f64 y 1))
4.0ms	x
4.0ms	y

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`
0.1b	1	`(/.f64 (*.f64 x y) (+.f64 y 1))`

Compiler

Compiled 40 to 23 computations (42.5% saved)

regimes43.0ms (2.3%)

Counts

3 → 3

Calls

Call 1

Inputs
x
(*.f64 y x)
(-.f64 x (/.f64 x y))

Outputs
(-.f64 x (/.f64 x y))
(*.f64 y x)
(-.f64 x (/.f64 x y))

Calls

2 calls:

32.0ms	x
11.0ms	y

Results

Error	Segments	Branch
21.3b	10	`x`
0.9b	3	`y`

Compiler

Compiled 17 to 9 computations (47.1% saved)

bsearch30.0ms (1.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	8.544245074970518e-10	14364.811604515782
14.0ms	-9.30246777898515	-3.3620558032888804e-6

Results

26.0ms	304×	body	256	valid
0.0ms	3×	body	256	infinite

Compiler

Compiled 280 to 181 computations (35.4% saved)

regimes36.0ms (1.9%)

Accuracy

Total -60.6b remaining (-5490.9%)

Threshold costs -60.6b (-5490.9%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(*.f64 y x)

Outputs
x
(*.f64 y x)
x

Calls

2 calls:

27.0ms	x
8.0ms	y

Results

Error	Segments	Branch
21.3b	10	`x`
1.1b	3	`y`

Compiler

Compiled 12 to 7 computations (41.7% saved)

bsearch29.0ms (1.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	8.544245074970518e-10	14364.811604515782
13.0ms	-9.30246777898515	-3.3620558032888804e-6

Results

26.0ms

304×

body

256

valid

Compiler

Compiled 204 to 143 computations (29.9% saved)

simplify5.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
3×	`*-commutative_binary64`
3×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	59
1	26	59
2	31	59
3	35	59
4	38	59
5	39	59

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 x (/.f64 (+.f64 y 1) y))
(if (<=.f64 y -1) (-.f64 x (/.f64 x y)) (if (<=.f64 y 5854679515581645/4503599627370496) (*.f64 y x) (-.f64 x (/.f64 x y))))
(if (<=.f64 y -1) x (if (<=.f64 y 1) (*.f64 y x) x))
x

Outputs
(/.f64 x (/.f64 (+.f64 y 1) y))
(if (<=.f64 y -1) (-.f64 x (/.f64 x y)) (if (<=.f64 y 5854679515581645/4503599627370496) (*.f64 y x) (-.f64 x (/.f64 x y))))
(if (<=.f64 y -1) (-.f64 x (/.f64 x y)) (if (<=.f64 y 5854679515581645/4503599627370496) (*.f64 x y) (-.f64 x (/.f64 x y))))
(if (<=.f64 y -1) x (if (<=.f64 y 1) (*.f64 y x) x))
(if (<=.f64 y -1) x (if (<=.f64 y 1) (*.f64 x y) x))
x

Compiler

Compiled 50 to 28 computations (44% saved)

soundness7.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
2×	`associate-/r/_binary64`
1×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	13	10
2	17	10
3	20	10
4	21	10

Stop Event

1×

saturated

Compiler

Compiled 18 to 12 computations (33.3% saved)

end27.0ms (1.4%)

Compiler: Compiled 44 to 21 computations (52.3% saved)

Details

analyze69.0ms (3.7%)

sample1.2s (63.6%)

preprocess16.0ms (0.8%)

simplify8.0ms (0.4%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize9.0ms (0.5%)

series4.0ms (0.2%)

rewrite51.0ms (2.7%)

simplify54.0ms (2.9%)

localize8.0ms (0.4%)

series2.0ms (0.1%)

rewrite45.0ms (2.4%)

simplify51.0ms (2.7%)

eval38.0ms (2%)

prune22.0ms (1.2%)

localize3.0ms (0.1%)

localize4.0ms (0.2%)

series3.0ms (0.1%)

rewrite46.0ms (2.4%)

simplify43.0ms (2.3%)

eval7.0ms (0.4%)

prune9.0ms (0.5%)

eval0.0ms (0%)

prune2.0ms (0.1%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes16.0ms (0.9%)

regimes43.0ms (2.3%)

bsearch30.0ms (1.6%)

regimes36.0ms (1.9%)

bsearch29.0ms (1.5%)

simplify5.0ms (0.3%)

soundness7.0ms (0.4%)

end27.0ms (1.4%)

Profiling