Details

analyze87.0ms (3.9%)

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)

sample1.0s (46.3%)

Results

1.0s

8256×

body

256

valid

Bogosity

preprocess14.0ms (0.6%)

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)

simplify37.0ms (1.7%)

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
▶	7.3b	(/.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)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 y 1) y)
✓	0.1b	(/.f64 x (/.f64 (+.f64 y 1) y))

Compiler

Compiled 20 to 12 computations (40% saved)

series21.0ms (1%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
17.0ms	x	@	-inf	(/.f64 x (/.f64 (+.f64 y 1) y))
1.0ms	x	@	0	(/.f64 x (/.f64 (+.f64 y 1) y))
1.0ms	x	@	inf	(/.f64 x (/.f64 (+.f64 y 1) y))
1.0ms	y	@	-inf	(/.f64 x (/.f64 (+.f64 y 1) y))
1.0ms	y	@	0	(/.f64 x (/.f64 (+.f64 y 1) y))

rewrite48.0ms (2.2%)

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	17
1	156	17
2	2315	17

Stop Event

1×	node limit

Counts

2 → 72

Calls

Call 1

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

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

simplify55.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

824×	`fma-neg_binary64`
583×	`fma-def_binary64`
534×	`unswap-sqr_binary64`
347×	`log-div_binary64`
249×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	199	1073
1	524	1033
2	1817	1017
3	6956	1017

Stop Event

1×	node limit

Counts

108 → 112

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

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

localize8.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.9b	(/.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	y	@	inf	(/.f64 (*.f64 x y) (+.f64 y 1))
0.0ms	x	@	0	(/.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))

rewrite49.0ms (2.2%)

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)))))))

simplify60.0ms (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)))

eval48.0ms (2.2%)

Compiler: Compiled 2472 to 1429 computations (42.2% saved)

prune63.0ms (2.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	196	5	201
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	197	6	203

Error

Counts

203 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	7.3b	(/.f64 (*.f64 x y) (+.f64 y 1))
▶	32.6b	(/.f64 x (/.f64 1 y))
▶	0.1b	(/.f64 x (-.f64 1 (/.f64 -1 y)))
▶	31.0b	(-.f64 x (/.f64 x y))
▶	32.5b	(*.f64 y x)
	30.6b	x

Compiler

Compiled 40 to 27 computations (32.5% 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)

series4.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(-.f64 x (/.f64 x y))
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))

rewrite43.0ms (1.9%)

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))))))

simplify44.0ms (2%)

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))

localize16.0ms (0.7%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1 (/.f64 -1 y))
✓	0.1b	(/.f64 x (-.f64 1 (/.f64 -1 y)))

Compiler

Compiled 21 to 15 computations (28.6% saved)

series4.0ms (0.2%)

Counts

2 → 36

Calls

9 calls:

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

rewrite51.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

885×	`pow1_binary64`
821×	`add-log-exp_binary64`
820×	`log1p-expm1-u_binary64`
820×	`expm1-log1p-u_binary64`
805×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	169	17
2	2204	17

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

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

Outputs

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

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

simplify55.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

554×	`fma-neg_binary64`
497×	`associate-/r*_binary64`
479×	`fma-def_binary64`
450×	`associate-/l*_binary64`
441×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	169	1155
1	434	1104
2	1446	1077
3	7471	1077

Stop Event

1×	node limit

Counts

97 → 105

Calls

Call 1

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

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

localize9.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 x (/.f64 1 y))

Compiler

Compiled 13 to 8 computations (38.5% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite44.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

601×	`pow1_binary64`
556×	`add-log-exp_binary64`
556×	`log1p-expm1-u_binary64`
556×	`expm1-log1p-u_binary64`
543×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	125	4
2	1592	4

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs

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

simplify44.0ms (2%)

Algorithm

1×	egg-herbie

Rules

382×	`distribute-rgt-in_binary64`
372×	`fma-def_binary64`
371×	`log-prod_binary64`
353×	`distribute-lft-in_binary64`
225×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	89	278
1	224	266
2	706	266
3	3062	266

Stop Event

1×	node limit

Counts

57 → 38

Calls

Call 1

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

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

eval40.0ms (1.8%)

Compiler: Compiled 2249 to 1257 computations (44.1% saved)

prune27.0ms (1.2%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	190	0	190
Fresh	0	1	1
Picked	0	1	1
Done	0	4	4
Total	190	6	196

Error

Counts

196 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	7.3b	(/.f64 (*.f64 x y) (+.f64 y 1))
✓	32.6b	(/.f64 x (/.f64 1 y))
✓	0.1b	(/.f64 x (-.f64 1 (/.f64 -1 y)))
✓	31.0b	(-.f64 x (/.f64 x y))
✓	32.5b	(*.f64 y x)
	30.6b	x

Compiler

Compiled 40 to 27 computations (32.5% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune2.0ms (0.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	5	5
Total	6	6

Error

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	7.3b	(/.f64 (*.f64 x y) (+.f64 y 1))
✓	32.6b	(/.f64 x (/.f64 1 y))
✓	0.1b	(/.f64 x (-.f64 1 (/.f64 -1 y)))
✓	31.0b	(-.f64 x (/.f64 x y))
✓	32.5b	(*.f64 y x)
	30.6b	x

Compiler

Compiled 40 to 27 computations (32.5% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune2.0ms (0.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	5	5
Total	6	6

Error

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	7.3b	(/.f64 (*.f64 x y) (+.f64 y 1))
✓	32.6b	(/.f64 x (/.f64 1 y))
✓	0.1b	(/.f64 x (-.f64 1 (/.f64 -1 y)))
✓	31.0b	(-.f64 x (/.f64 x y))
✓	32.5b	(*.f64 y x)
	30.6b	x

Compiler

Compiled 40 to 27 computations (32.5% saved)

regimes18.0ms (0.8%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	y
5.0ms	x
4.0ms	(/.f64 (*.f64 x y) (+.f64 y 1))

Results

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

Compiler

Compiled 52 to 31 computations (40.4% saved)

regimes51.0ms (2.3%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

2 calls:

38.0ms	x
11.0ms	y

Results

Error	Segments	Branch
21.5b	10	`x`
1.0b	3	`y`

Compiler

Compiled 22 to 12 computations (45.5% saved)

bsearch34.0ms (1.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	0.17560568509192298	1052676382.4104304
17.0ms	-3.8409164472256734	-6.191237784747523e-10

Results

31.0ms	320×	body	256	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 294 to 190 computations (35.4% saved)

regimes47.0ms (2.1%)

Accuracy

Total -60.2b remaining (-4269.3%)

Threshold costs -60.2b (-4269.3%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(*.f64 y x)

Outputs
x
(*.f64 y x)
x

Calls

2 calls:

37.0ms	x
8.0ms	y

Results

Error	Segments	Branch
22.5b	8	`x`
1.4b	3	`y`

Compiler

Compiled 12 to 7 computations (41.7% saved)

bsearch34.0ms (1.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	0.17560568509192298	1052676382.4104304
16.0ms	-3.8409164472256734	-6.191237784747523e-10

Results

30.0ms	320×	body	256	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 214 to 150 computations (29.9% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	59
1	27	59
2	37	59
3	43	59
4	47	59
5	48	59

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 x (-.f64 1 (/.f64 -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 1 (/.f64 -1 y)))
(/.f64 x (+.f64 1 (/.f64 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 29 computations (42% saved)

soundness74.0ms (3.3%)

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

Compiler

Compiled 75 to 51 computations (32% saved)

end30.0ms (1.3%)

Compiler: Compiled 44 to 22 computations (50% saved)

Details

analyze87.0ms (3.9%)

sample1.0s (46.3%)

preprocess14.0ms (0.6%)

simplify37.0ms (1.7%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize8.0ms (0.3%)

series21.0ms (1%)

rewrite48.0ms (2.2%)

simplify55.0ms (2.5%)

localize8.0ms (0.4%)

series2.0ms (0.1%)

rewrite49.0ms (2.2%)

simplify60.0ms (2.7%)

eval48.0ms (2.2%)

prune63.0ms (2.8%)

localize3.0ms (0.1%)

localize4.0ms (0.2%)

series4.0ms (0.2%)

rewrite43.0ms (1.9%)

simplify44.0ms (2%)

localize16.0ms (0.7%)

series4.0ms (0.2%)

rewrite51.0ms (2.3%)

simplify55.0ms (2.5%)

localize9.0ms (0.4%)

series2.0ms (0.1%)

rewrite44.0ms (2%)

simplify44.0ms (2%)

eval40.0ms (1.8%)

prune27.0ms (1.2%)

eval0.0ms (0%)

prune2.0ms (0.1%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes18.0ms (0.8%)

regimes51.0ms (2.3%)

bsearch34.0ms (1.6%)

regimes47.0ms (2.1%)

bsearch34.0ms (1.5%)

simplify5.0ms (0.2%)

soundness74.0ms (3.3%)

end30.0ms (1.3%)

Profiling