Details

analyze86.0ms (2.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
12.5%	87.4%	0.1%	5
18.7%	81.2%	0.1%	6
43.7%	56.2%	0.1%	7
50%	50%	0.1%	8
67.1%	32.8%	0.1%	9
71.8%	28.1%	0.1%	10
82.3%	17.6%	0.1%	11
85.1%	14.8%	0.1%	12

Compiler

Compiled 10 to 7 computations (30% saved)

sample1.1s (34.4%)

Results

1.1s

8256×

body

256

valid

preprocess18.0ms (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)

simplify13.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

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 16 to 10 computations (37.5% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(*.f64 x (/.f64 y (+.f64 y 1)))
▶	9.6b	(/.f64 (*.f64 x y) (+.f64 y 1))

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 12 computations (40% saved)

series7.0ms (0.2%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(*.f64 x (/.f64 y (+.f64 y 1)))
1.0ms	x	@	0	(*.f64 x (/.f64 y (+.f64 y 1)))
1.0ms	y	@	-inf	(*.f64 x (/.f64 y (+.f64 y 1)))
1.0ms	x	@	inf	(*.f64 x (/.f64 y (+.f64 y 1)))
1.0ms	x	@	-inf	(*.f64 x (/.f64 y (+.f64 y 1)))

rewrite62.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

822×	`pow1_binary64`
765×	`log1p-expm1-u_binary64`
765×	`expm1-log1p-u_binary64`
764×	`add-log-exp_binary64`
748×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	150	17
2	2065	17

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

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

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

Outputs

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

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

simplify62.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

667×	`times-frac_binary64`
436×	`sub-neg_binary64`
423×	`distribute-rgt-neg-in_binary64`
381×	`fma-neg_binary64`
280×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	49	437
1	136	413
2	372	400
3	1258	388
4	4804	388

Stop Event

1×	node limit

Counts

91 → 85

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)))
y
(+.f64 (*.f64 -1 (pow.f64 y 2)) y)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 y 3) y))
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 y 3) (+.f64 y (.f64 -1 (pow.f64 y 4)))))
1
(-.f64 1 (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))))
1
(-.f64 1 (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))))

Outputs
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 y 1))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 y 1))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 y 1))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 y 1))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 y 1))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 y 1))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 y 1))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 y 1))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 y 1))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 y 1))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 y 1))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 y 1))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.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 y (.f64 y y)))
(+.f64 (.f64 y x) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) x)) (.f64 (pow.f64 y 3) x)))
(fma.f64 y x (fma.f64 -1 (.f64 x (.f64 y y)) (*.f64 x (pow.f64 y 3))))
(fma.f64 y x (.f64 x (.f64 (*.f64 y y) (+.f64 -1 y))))
(.f64 x (.f64 y (-.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 y y) (+.f64 -1 y))) (.f64 x (pow.f64 y 4))))
(.f64 x (-.f64 (.f64 y (-.f64 (fma.f64 y y 1) y)) (pow.f64 y 4)))
(.f64 x (.f64 (fma.f64 y y 1) (-.f64 y (*.f64 y 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 x (-.f64 (/.f64 x y) (/.f64 x (*.f64 y y))))
(-.f64 (/.f64 x (*.f64 y y)) (-.f64 (/.f64 x y) x))
(+.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 x (-.f64 (/.f64 x (*.f64 y y)) (/.f64 x y))) (/.f64 x (pow.f64 y 3)))
(-.f64 (+.f64 x (.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 x (.f64 y y)))) (/.f64 x y))
(+.f64 x (-.f64 (/.f64 (-.f64 x (/.f64 x y)) (*.f64 y y)) (/.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 x (-.f64 (/.f64 x y) (/.f64 x (*.f64 y y))))
(-.f64 (/.f64 x (*.f64 y y)) (-.f64 (/.f64 x y) x))
(+.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 x (-.f64 (/.f64 x (*.f64 y y)) (/.f64 x y))) (/.f64 x (pow.f64 y 3)))
(-.f64 (+.f64 x (.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 x (.f64 y y)))) (/.f64 x y))
(+.f64 x (-.f64 (/.f64 (-.f64 x (/.f64 x y)) (*.f64 y y)) (/.f64 x y)))
y
(+.f64 (*.f64 -1 (pow.f64 y 2)) y)
(fma.f64 -1 (*.f64 y y) y)
(-.f64 y (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 y 3) y))
(fma.f64 -1 (*.f64 y y) (+.f64 y (pow.f64 y 3)))
(+.f64 y (.f64 (.f64 y y) (+.f64 -1 y)))
(*.f64 y (-.f64 (fma.f64 y y 1) y))
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 y 3) (+.f64 y (.f64 -1 (pow.f64 y 4)))))
(fma.f64 -1 (*.f64 y y) (+.f64 (pow.f64 y 3) (+.f64 y (neg.f64 (pow.f64 y 4)))))
(+.f64 (-.f64 y (pow.f64 y 4)) (.f64 (.f64 y y) (+.f64 -1 y)))
(-.f64 (*.f64 y (-.f64 (fma.f64 y y 1) y)) (pow.f64 y 4))
(.f64 (fma.f64 y y 1) (-.f64 y (.f64 y y)))
1
(-.f64 1 (/.f64 1 y))
(+.f64 1 (/.f64 -1 y))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (/.f64 1 y))
(+.f64 (/.f64 1 (*.f64 y y)) (-.f64 1 (/.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 (/.f64 1 y) y) (/.f64 1 y)))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 y)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 y y))) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))))
(+.f64 1 (-.f64 (/.f64 (/.f64 1 y) y) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))))
(+.f64 (+.f64 1 (/.f64 -1 y)) (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 3))))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 (/.f64 -1 y) (/.f64 -1 (pow.f64 y 3)))))
(+.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 y))) (/.f64 -1 (pow.f64 y 3)))
1
(-.f64 1 (/.f64 1 y))
(+.f64 1 (/.f64 -1 y))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (/.f64 1 y))
(+.f64 (/.f64 1 (*.f64 y y)) (-.f64 1 (/.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 (/.f64 1 y) y) (/.f64 1 y)))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 y)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 y y))) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))))
(+.f64 1 (-.f64 (/.f64 (/.f64 1 y) y) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))))
(+.f64 (+.f64 1 (/.f64 -1 y)) (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 3))))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 (/.f64 -1 y) (/.f64 -1 (pow.f64 y 3)))))
(+.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 y))) (/.f64 -1 (pow.f64 y 3)))

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	8.9b	(/.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	x	@	0	(/.f64 (*.f64 x y) (+.f64 y 1))
0.0ms	y	@	inf	(/.f64 (*.f64 x y) (+.f64 y 1))
0.0ms	y	@	-inf	(/.f64 (*.f64 x y) (+.f64 y 1))
0.0ms	y	@	0	(/.f64 (*.f64 x y) (+.f64 y 1))
0.0ms	x	@	inf	(/.f64 (*.f64 x y) (+.f64 y 1))

rewrite62.0ms (1.9%)

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)))))))

simplify65.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

703×	`fma-def_binary64`
459×	`times-frac_binary64`
413×	`distribute-lft-out--_binary64`
375×	`distribute-rgt-neg-in_binary64`
347×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	33	294
1	94	281
2	254	270
3	922	257
4	4184	250

Stop Event

1×	node limit

Counts

67 → 59

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)))

Outputs
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1 (*.f64 (pow.f64 y 2) x)))
(fma.f64 y x (neg.f64 (.f64 x (.f64 y y))))
(.f64 x (+.f64 (neg.f64 (.f64 y y)) y))
(.f64 y (-.f64 x (.f64 y x)))
(+.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 y (.f64 (*.f64 y y) (+.f64 -1 y))))
(.f64 x (fma.f64 (.f64 y y) (+.f64 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 (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))))
(.f64 x (.f64 (fma.f64 y y 1) (-.f64 y (*.f64 y y))))
(.f64 (-.f64 x (.f64 y x)) (+.f64 y (pow.f64 y 3)))
x
(+.f64 (*.f64 -1 (/.f64 x y)) x)
(fma.f64 -1 (/.f64 x y) x)
(-.f64 x (/.f64 x y))
(+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x))
(+.f64 (fma.f64 -1 (/.f64 x y) x) (/.f64 x (*.f64 y y)))
(+.f64 x (-.f64 (/.f64 x (*.f64 y y)) (/.f64 x y)))
(-.f64 (/.f64 x (*.f64 y y)) (-.f64 (/.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)))
(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 x y)) (-.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 3))))
(+.f64 (-.f64 x (/.f64 x y)) (/.f64 (-.f64 x (/.f64 x y)) (*.f64 y y)))
(.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 x (/.f64 x (.f64 y 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 x (*.f64 y y)) (-.f64 (/.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)))
(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 x y)) (-.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 3))))
(+.f64 (-.f64 x (/.f64 x y)) (/.f64 (-.f64 x (/.f64 x y)) (*.f64 y y)))
(.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 x (/.f64 x (.f64 y y))))

eval65.0ms (2%)

Compiler: Compiled 1654 to 986 computations (40.4% saved)

prune28.0ms (0.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	140	4	144
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	140	6	146

Error

Counts

146 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	26.9b	(-.f64 x (/.f64 x y))
	26.6b	x
▶	36.8b	(*.f64 y x)
✓	0.0b	(*.f64 x (/.f64 y (+.f64 y 1)))
▶	37.1b	(.f64 (-.f64 x (.f64 y x)) (+.f64 y (pow.f64 y 3)))
✓	9.6b	(/.f64 (*.f64 x y) (+.f64 y 1))

Compiler

Compiled 46 to 29 computations (37% saved)

localize4.0ms (0.1%)

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

localize13.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (*.f64 y x))
✓	1.0b	(.f64 (-.f64 x (.f64 y x)) (+.f64 y (pow.f64 y 3)))

Compiler

Compiled 32 to 14 computations (56.3% saved)

series8.0ms (0.3%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	(-.f64 x (*.f64 y x))
1.0ms	x	@	inf	(.f64 (-.f64 x (.f64 y x)) (+.f64 y (pow.f64 y 3)))
1.0ms	x	@	0	(.f64 (-.f64 x (.f64 y x)) (+.f64 y (pow.f64 y 3)))
1.0ms	x	@	-inf	(.f64 (-.f64 x (.f64 y x)) (+.f64 y (pow.f64 y 3)))
1.0ms	y	@	inf	(.f64 (-.f64 x (.f64 y x)) (+.f64 y (pow.f64 y 3)))

rewrite85.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

544×	`log-prod_binary64`
538×	`fma-def_binary64`
461×	`pow-prod-down_binary64`
279×	`pow2_binary64`
221×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	216	23
2	3215	23

Stop Event

1×	node limit

Counts

2 → 181

Calls

Call 1

Inputs
(.f64 (-.f64 x (.f64 y x)) (+.f64 y (pow.f64 y 3)))
(-.f64 x (*.f64 y x))

Outputs

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

simplify75.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

829×	`fma-def_binary64`
521×	`distribute-rgt-out--_binary64`
502×	`associate-l_binary64`
445×	`distribute-rgt-neg-in_binary64`
421×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	38	540
1	110	527
2	298	512
3	1086	506
4	4962	506

Stop Event

1×	node limit

Counts

229 → 204

Calls

Call 1

Inputs
(.f64 (+.f64 (pow.f64 y 3) y) (.f64 (-.f64 1 y) x))
(.f64 (+.f64 (pow.f64 y 3) y) (.f64 (-.f64 1 y) x))
(.f64 (+.f64 (pow.f64 y 3) y) (.f64 (-.f64 1 y) x))
(.f64 (+.f64 (pow.f64 y 3) y) (.f64 (-.f64 1 y) x))
(.f64 (+.f64 (pow.f64 y 3) y) (.f64 (-.f64 1 y) x))
(.f64 (+.f64 (pow.f64 y 3) y) (.f64 (-.f64 1 y) x))
(.f64 (+.f64 (pow.f64 y 3) y) (.f64 (-.f64 1 y) x))
(.f64 (+.f64 (pow.f64 y 3) y) (.f64 (-.f64 1 y) x))
(.f64 (+.f64 1 (.f64 -1 y)) (*.f64 (+.f64 (pow.f64 y 3) y) x))
(.f64 (+.f64 1 (.f64 -1 y)) (*.f64 (+.f64 (pow.f64 y 3) y) x))
(.f64 (+.f64 1 (.f64 -1 y)) (*.f64 (+.f64 (pow.f64 y 3) y) x))
(.f64 (+.f64 1 (.f64 -1 y)) (*.f64 (+.f64 (pow.f64 y 3) y) x))
(*.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)))))
(.f64 -1 (.f64 (pow.f64 y 4) x))
(+.f64 (.f64 (pow.f64 y 3) x) (.f64 -1 (*.f64 (pow.f64 y 4) x)))
(+.f64 (.f64 (pow.f64 y 3) x) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) x)) (.f64 -1 (*.f64 (pow.f64 y 4) x))))
(+.f64 (.f64 y x) (+.f64 (.f64 (pow.f64 y 3) x) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) x)) (.f64 -1 (.f64 (pow.f64 y 4) x)))))
(.f64 -1 (.f64 (pow.f64 y 4) x))
(+.f64 (.f64 (pow.f64 y 3) x) (.f64 -1 (*.f64 (pow.f64 y 4) x)))
(+.f64 (.f64 (pow.f64 y 3) x) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) x)) (.f64 -1 (*.f64 (pow.f64 y 4) x))))
(+.f64 (.f64 y x) (+.f64 (.f64 (pow.f64 y 3) x) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) x)) (.f64 -1 (.f64 (pow.f64 y 4) x)))))
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.f64 1 y) x)
(*.f64 (-.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)
x
(+.f64 (.f64 -1 (.f64 y x)) x)
(+.f64 (.f64 -1 (.f64 y x)) x)
(+.f64 (.f64 -1 (.f64 y x)) x)
(.f64 -1 (.f64 y x))
(+.f64 x (.f64 -1 (.f64 y x)))
(+.f64 x (.f64 -1 (.f64 y x)))
(+.f64 x (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 x (.f64 -1 (.f64 y x)))
(+.f64 x (.f64 -1 (.f64 y x)))
(+.f64 x (.f64 -1 (.f64 y x)))

Outputs
(.f64 (+.f64 (pow.f64 y 3) y) (.f64 (-.f64 1 y) x))
(.f64 (+.f64 y (pow.f64 y 3)) (.f64 x (-.f64 1 y)))
(.f64 (-.f64 1 y) (.f64 (+.f64 y (pow.f64 y 3)) x))
(*.f64 (+.f64 y (pow.f64 y 3)) (fma.f64 y (neg.f64 x) x))
(.f64 (+.f64 (pow.f64 y 3) y) (.f64 (-.f64 1 y) x))
(.f64 (+.f64 y (pow.f64 y 3)) (.f64 x (-.f64 1 y)))
(.f64 (-.f64 1 y) (.f64 (+.f64 y (pow.f64 y 3)) x))
(*.f64 (+.f64 y (pow.f64 y 3)) (fma.f64 y (neg.f64 x) x))
(.f64 (+.f64 (pow.f64 y 3) y) (.f64 (-.f64 1 y) x))
(.f64 (+.f64 y (pow.f64 y 3)) (.f64 x (-.f64 1 y)))
(.f64 (-.f64 1 y) (.f64 (+.f64 y (pow.f64 y 3)) x))
(*.f64 (+.f64 y (pow.f64 y 3)) (fma.f64 y (neg.f64 x) x))
(.f64 (+.f64 (pow.f64 y 3) y) (.f64 (-.f64 1 y) x))
(.f64 (+.f64 y (pow.f64 y 3)) (.f64 x (-.f64 1 y)))
(.f64 (-.f64 1 y) (.f64 (+.f64 y (pow.f64 y 3)) x))
(*.f64 (+.f64 y (pow.f64 y 3)) (fma.f64 y (neg.f64 x) x))
(.f64 (+.f64 (pow.f64 y 3) y) (.f64 (-.f64 1 y) x))
(.f64 (+.f64 y (pow.f64 y 3)) (.f64 x (-.f64 1 y)))
(.f64 (-.f64 1 y) (.f64 (+.f64 y (pow.f64 y 3)) x))
(*.f64 (+.f64 y (pow.f64 y 3)) (fma.f64 y (neg.f64 x) x))
(.f64 (+.f64 (pow.f64 y 3) y) (.f64 (-.f64 1 y) x))
(.f64 (+.f64 y (pow.f64 y 3)) (.f64 x (-.f64 1 y)))
(.f64 (-.f64 1 y) (.f64 (+.f64 y (pow.f64 y 3)) x))
(*.f64 (+.f64 y (pow.f64 y 3)) (fma.f64 y (neg.f64 x) x))
(.f64 (+.f64 (pow.f64 y 3) y) (.f64 (-.f64 1 y) x))
(.f64 (+.f64 y (pow.f64 y 3)) (.f64 x (-.f64 1 y)))
(.f64 (-.f64 1 y) (.f64 (+.f64 y (pow.f64 y 3)) x))
(*.f64 (+.f64 y (pow.f64 y 3)) (fma.f64 y (neg.f64 x) x))
(.f64 (+.f64 (pow.f64 y 3) y) (.f64 (-.f64 1 y) x))
(.f64 (+.f64 y (pow.f64 y 3)) (.f64 x (-.f64 1 y)))
(.f64 (-.f64 1 y) (.f64 (+.f64 y (pow.f64 y 3)) x))
(*.f64 (+.f64 y (pow.f64 y 3)) (fma.f64 y (neg.f64 x) x))
(.f64 (+.f64 1 (.f64 -1 y)) (*.f64 (+.f64 (pow.f64 y 3) y) x))
(.f64 (+.f64 y (pow.f64 y 3)) (.f64 x (-.f64 1 y)))
(.f64 (-.f64 1 y) (.f64 (+.f64 y (pow.f64 y 3)) x))
(*.f64 (+.f64 y (pow.f64 y 3)) (fma.f64 y (neg.f64 x) x))
(.f64 (+.f64 1 (.f64 -1 y)) (*.f64 (+.f64 (pow.f64 y 3) y) x))
(.f64 (+.f64 y (pow.f64 y 3)) (.f64 x (-.f64 1 y)))
(.f64 (-.f64 1 y) (.f64 (+.f64 y (pow.f64 y 3)) x))
(*.f64 (+.f64 y (pow.f64 y 3)) (fma.f64 y (neg.f64 x) x))
(.f64 (+.f64 1 (.f64 -1 y)) (*.f64 (+.f64 (pow.f64 y 3) y) x))
(.f64 (+.f64 y (pow.f64 y 3)) (.f64 x (-.f64 1 y)))
(.f64 (-.f64 1 y) (.f64 (+.f64 y (pow.f64 y 3)) x))
(*.f64 (+.f64 y (pow.f64 y 3)) (fma.f64 y (neg.f64 x) x))
(.f64 (+.f64 1 (.f64 -1 y)) (*.f64 (+.f64 (pow.f64 y 3) y) x))
(.f64 (+.f64 y (pow.f64 y 3)) (.f64 x (-.f64 1 y)))
(.f64 (-.f64 1 y) (.f64 (+.f64 y (pow.f64 y 3)) x))
(*.f64 (+.f64 y (pow.f64 y 3)) (fma.f64 y (neg.f64 x) x))
(*.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 y (.f64 (neg.f64 y) y)))
(*.f64 y (fma.f64 y (neg.f64 x) x))
(+.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 (pow.f64 y 3) x)))
(fma.f64 y x (.f64 x (+.f64 (.f64 (neg.f64 y) y) (pow.f64 y 3))))
(.f64 x (+.f64 (pow.f64 y 3) (-.f64 y (.f64 y y))))
(.f64 x (fma.f64 (.f64 y y) (+.f64 y -1) y))
(.f64 y (.f64 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)))))
(.f64 (+.f64 y (pow.f64 y 3)) (.f64 x (-.f64 1 y)))
(.f64 (-.f64 1 y) (.f64 (+.f64 y (pow.f64 y 3)) x))
(*.f64 (+.f64 y (pow.f64 y 3)) (fma.f64 y (neg.f64 x) x))
(.f64 -1 (.f64 (pow.f64 y 4) x))
(neg.f64 (*.f64 x (pow.f64 y 4)))
(*.f64 x (neg.f64 (pow.f64 y 4)))
(*.f64 (pow.f64 y 4) (neg.f64 x))
(+.f64 (.f64 (pow.f64 y 3) x) (.f64 -1 (*.f64 (pow.f64 y 4) x)))
(fma.f64 (pow.f64 y 3) x (neg.f64 (*.f64 x (pow.f64 y 4))))
(*.f64 x (+.f64 (pow.f64 y 3) (neg.f64 (pow.f64 y 4))))
(*.f64 (pow.f64 y 3) (fma.f64 y (neg.f64 x) x))
(+.f64 (.f64 (pow.f64 y 3) x) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) x)) (.f64 -1 (*.f64 (pow.f64 y 4) x))))
(fma.f64 (pow.f64 y 3) x (fma.f64 -1 (.f64 x (.f64 y y)) (neg.f64 (*.f64 x (pow.f64 y 4)))))
(fma.f64 (pow.f64 y 3) x (neg.f64 (.f64 x (+.f64 (.f64 y y) (pow.f64 y 4)))))
(.f64 x (-.f64 (-.f64 (pow.f64 y 3) (.f64 y y)) (pow.f64 y 4)))
(.f64 y (.f64 (*.f64 y x) (-.f64 y (fma.f64 y y 1))))
(+.f64 (.f64 y x) (+.f64 (.f64 (pow.f64 y 3) x) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) x)) (.f64 -1 (.f64 (pow.f64 y 4) x)))))
(.f64 (+.f64 y (pow.f64 y 3)) (.f64 x (-.f64 1 y)))
(.f64 (-.f64 1 y) (.f64 (+.f64 y (pow.f64 y 3)) x))
(*.f64 (+.f64 y (pow.f64 y 3)) (fma.f64 y (neg.f64 x) x))
(.f64 -1 (.f64 (pow.f64 y 4) x))
(neg.f64 (*.f64 x (pow.f64 y 4)))
(*.f64 x (neg.f64 (pow.f64 y 4)))
(*.f64 (pow.f64 y 4) (neg.f64 x))
(+.f64 (.f64 (pow.f64 y 3) x) (.f64 -1 (*.f64 (pow.f64 y 4) x)))
(fma.f64 (pow.f64 y 3) x (neg.f64 (*.f64 x (pow.f64 y 4))))
(*.f64 x (+.f64 (pow.f64 y 3) (neg.f64 (pow.f64 y 4))))
(*.f64 (pow.f64 y 3) (fma.f64 y (neg.f64 x) x))
(+.f64 (.f64 (pow.f64 y 3) x) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) x)) (.f64 -1 (*.f64 (pow.f64 y 4) x))))
(fma.f64 (pow.f64 y 3) x (fma.f64 -1 (.f64 x (.f64 y y)) (neg.f64 (*.f64 x (pow.f64 y 4)))))
(fma.f64 (pow.f64 y 3) x (neg.f64 (.f64 x (+.f64 (.f64 y y) (pow.f64 y 4)))))
(.f64 x (-.f64 (-.f64 (pow.f64 y 3) (.f64 y y)) (pow.f64 y 4)))
(.f64 y (.f64 (*.f64 y x) (-.f64 y (fma.f64 y y 1))))
(+.f64 (.f64 y x) (+.f64 (.f64 (pow.f64 y 3) x) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) x)) (.f64 -1 (.f64 (pow.f64 y 4) x)))))
(.f64 (+.f64 y (pow.f64 y 3)) (.f64 x (-.f64 1 y)))
(.f64 (-.f64 1 y) (.f64 (+.f64 y (pow.f64 y 3)) x))
(*.f64 (+.f64 y (pow.f64 y 3)) (fma.f64 y (neg.f64 x) x))
(*.f64 (-.f64 1 y) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(fma.f64 y (neg.f64 x) x)
(*.f64 (-.f64 1 y) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(fma.f64 y (neg.f64 x) x)
(*.f64 (-.f64 1 y) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(fma.f64 y (neg.f64 x) x)
(*.f64 (-.f64 1 y) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(fma.f64 y (neg.f64 x) x)
(*.f64 (-.f64 1 y) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(fma.f64 y (neg.f64 x) x)
(*.f64 (-.f64 1 y) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(fma.f64 y (neg.f64 x) x)
(*.f64 (-.f64 1 y) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(fma.f64 y (neg.f64 x) x)
(*.f64 (-.f64 1 y) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(fma.f64 y (neg.f64 x) x)
(.f64 (+.f64 1 (.f64 -1 y)) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(fma.f64 y (neg.f64 x) x)
(.f64 (+.f64 1 (.f64 -1 y)) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(fma.f64 y (neg.f64 x) x)
(.f64 (+.f64 1 (.f64 -1 y)) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(fma.f64 y (neg.f64 x) x)
(.f64 (+.f64 1 (.f64 -1 y)) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(fma.f64 y (neg.f64 x) x)
x
(+.f64 (.f64 -1 (.f64 y x)) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(fma.f64 y (neg.f64 x) x)
(+.f64 (.f64 -1 (.f64 y x)) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(fma.f64 y (neg.f64 x) x)
(+.f64 (.f64 -1 (.f64 y x)) x)
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(fma.f64 y (neg.f64 x) x)
(.f64 -1 (.f64 y x))
(*.f64 (neg.f64 y) x)
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 x (.f64 -1 (.f64 y x)))
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(fma.f64 y (neg.f64 x) x)
(+.f64 x (.f64 -1 (.f64 y x)))
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(fma.f64 y (neg.f64 x) x)
(+.f64 x (.f64 -1 (.f64 y x)))
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(fma.f64 y (neg.f64 x) x)
(.f64 -1 (.f64 y x))
(*.f64 (neg.f64 y) x)
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 x (.f64 -1 (.f64 y x)))
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(fma.f64 y (neg.f64 x) x)
(+.f64 x (.f64 -1 (.f64 y x)))
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(fma.f64 y (neg.f64 x) x)
(+.f64 x (.f64 -1 (.f64 y x)))
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 y x))
(fma.f64 y (neg.f64 x) x)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 4 computations (66.7% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite62.0ms (2%)

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))))))

simplify68.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

148×	`fma-def_binary64`
74×	`fma-neg_binary64`
28×	`distribute-rgt-in_binary64`
25×	`distribute-lft-in_binary64`
23×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	218
1	32	218
2	67	155
3	132	155
4	223	155
5	385	155
6	621	155
7	649	155

Stop Event

1×

saturated

Counts

60 → 44

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)

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

eval161.0ms (5.1%)

Compiler: Compiled 4629 to 1809 computations (60.9% saved)

prune79.0ms (2.5%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	246	2	248
Fresh	1	0	1
Picked	0	1	1
Done	1	3	4
Total	248	6	254

Error

Counts

254 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	36.8b	(*.f64 y x)
▶	36.9b	(.f64 y (.f64 x (-.f64 (fma.f64 y y 1) y)))
	26.6b	x
✓	26.9b	(-.f64 x (/.f64 x y))
✓	0.0b	(*.f64 x (/.f64 y (+.f64 y 1)))
✓	9.6b	(/.f64 (*.f64 x y) (+.f64 y 1))

Compiler

Compiled 45 to 28 computations (37.8% saved)

localize37.0ms (1.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (fma.f64 y y 1) y)
✓	0.1b	(.f64 y (.f64 x (-.f64 (fma.f64 y y 1) y)))
✓	5.5b	(*.f64 x (-.f64 (fma.f64 y y 1) y))

Compiler

Compiled 33 to 17 computations (48.5% saved)

series15.0ms (0.5%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(*.f64 x (-.f64 (fma.f64 y y 1) y))
1.0ms	x	@	0	(*.f64 x (-.f64 (fma.f64 y y 1) y))
1.0ms	x	@	inf	(.f64 y (.f64 x (-.f64 (fma.f64 y y 1) y)))
1.0ms	x	@	inf	(*.f64 x (-.f64 (fma.f64 y y 1) y))
1.0ms	x	@	-inf	(.f64 y (.f64 x (-.f64 (fma.f64 y y 1) y)))

rewrite127.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

897×	`pow1_binary64`
831×	`add-log-exp_binary64`
831×	`log1p-expm1-u_binary64`
831×	`expm1-log1p-u_binary64`
813×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	33
1	165	33
2	2202	33

Stop Event

1×	node limit

Counts

3 → 73

Calls

Call 1

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

Outputs

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

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

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

simplify86.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

554×	`fma-neg_binary64`
536×	`distribute-rgt-neg-in_binary64`
536×	`cancel-sign-sub-inv_binary64`
413×	`distribute-lft-neg-in_binary64`
350×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	819
1	79	717
2	209	621
3	584	621
4	1934	621
5	5108	621

Stop Event

1×	node limit

Counts

133 → 102

Calls

Call 1

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

Outputs
(*.f64 (-.f64 (+.f64 1 (pow.f64 y 2)) y) x)
(.f64 (-.f64 (+.f64 1 (.f64 y y)) y) x)
(*.f64 (-.f64 (fma.f64 y y 1) y) x)
(fma.f64 y (-.f64 (*.f64 y x) x) x)
(fma.f64 x (-.f64 (*.f64 y y) y) x)
(*.f64 (-.f64 (+.f64 1 (pow.f64 y 2)) y) x)
(.f64 (-.f64 (+.f64 1 (.f64 y y)) y) x)
(*.f64 (-.f64 (fma.f64 y y 1) y) x)
(fma.f64 y (-.f64 (*.f64 y x) x) x)
(fma.f64 x (-.f64 (*.f64 y y) y) x)
(*.f64 (-.f64 (+.f64 1 (pow.f64 y 2)) y) x)
(.f64 (-.f64 (+.f64 1 (.f64 y y)) y) x)
(*.f64 (-.f64 (fma.f64 y y 1) y) x)
(fma.f64 y (-.f64 (*.f64 y x) x) x)
(fma.f64 x (-.f64 (*.f64 y y) y) x)
(*.f64 (-.f64 (+.f64 1 (pow.f64 y 2)) y) x)
(.f64 (-.f64 (+.f64 1 (.f64 y y)) y) x)
(*.f64 (-.f64 (fma.f64 y y 1) y) x)
(fma.f64 y (-.f64 (*.f64 y x) x) x)
(fma.f64 x (-.f64 (*.f64 y y) y) x)
(*.f64 (-.f64 (+.f64 1 (pow.f64 y 2)) y) x)
(.f64 (-.f64 (+.f64 1 (.f64 y y)) y) x)
(*.f64 (-.f64 (fma.f64 y y 1) y) x)
(fma.f64 y (-.f64 (*.f64 y x) x) x)
(fma.f64 x (-.f64 (*.f64 y y) y) x)
(*.f64 (-.f64 (+.f64 1 (pow.f64 y 2)) y) x)
(.f64 (-.f64 (+.f64 1 (.f64 y y)) y) x)
(*.f64 (-.f64 (fma.f64 y y 1) y) x)
(fma.f64 y (-.f64 (*.f64 y x) x) x)
(fma.f64 x (-.f64 (*.f64 y y) y) x)
(*.f64 (-.f64 (+.f64 1 (pow.f64 y 2)) y) x)
(.f64 (-.f64 (+.f64 1 (.f64 y y)) y) x)
(*.f64 (-.f64 (fma.f64 y y 1) y) x)
(fma.f64 y (-.f64 (*.f64 y x) x) x)
(fma.f64 x (-.f64 (*.f64 y y) y) x)
(*.f64 (-.f64 (+.f64 1 (pow.f64 y 2)) y) x)
(.f64 (-.f64 (+.f64 1 (.f64 y y)) y) x)
(*.f64 (-.f64 (fma.f64 y y 1) y) x)
(fma.f64 y (-.f64 (*.f64 y x) x) x)
(fma.f64 x (-.f64 (*.f64 y y) y) x)
(*.f64 (-.f64 (+.f64 1 (pow.f64 y 2)) y) x)
(.f64 (-.f64 (+.f64 1 (.f64 y y)) y) x)
(*.f64 (-.f64 (fma.f64 y y 1) y) x)
(fma.f64 y (-.f64 (*.f64 y x) x) x)
(fma.f64 x (-.f64 (*.f64 y y) y) x)
(*.f64 (-.f64 (+.f64 1 (pow.f64 y 2)) y) x)
(.f64 (-.f64 (+.f64 1 (.f64 y y)) y) x)
(*.f64 (-.f64 (fma.f64 y y 1) y) x)
(fma.f64 y (-.f64 (*.f64 y x) x) x)
(fma.f64 x (-.f64 (*.f64 y y) y) x)
(*.f64 (-.f64 (+.f64 1 (pow.f64 y 2)) y) x)
(.f64 (-.f64 (+.f64 1 (.f64 y y)) y) x)
(*.f64 (-.f64 (fma.f64 y y 1) y) x)
(fma.f64 y (-.f64 (*.f64 y x) x) x)
(fma.f64 x (-.f64 (*.f64 y y) y) x)
(*.f64 (-.f64 (+.f64 1 (pow.f64 y 2)) y) x)
(.f64 (-.f64 (+.f64 1 (.f64 y y)) y) x)
(*.f64 (-.f64 (fma.f64 y y 1) y) x)
(fma.f64 y (-.f64 (*.f64 y x) x) x)
(fma.f64 x (-.f64 (*.f64 y y) y) x)
x
(+.f64 (.f64 -1 (.f64 y x)) x)
(fma.f64 -1 (*.f64 y x) x)
(-.f64 x (*.f64 y x))
(fma.f64 x (neg.f64 y) x)
(fma.f64 y (neg.f64 x) x)
(+.f64 (.f64 (pow.f64 y 2) x) (+.f64 (.f64 -1 (*.f64 y x)) x))
(.f64 (-.f64 (+.f64 1 (.f64 y y)) y) x)
(*.f64 (-.f64 (fma.f64 y y 1) y) x)
(fma.f64 y (-.f64 (*.f64 y x) x) x)
(fma.f64 x (-.f64 (*.f64 y y) y) x)
(+.f64 (.f64 (pow.f64 y 2) x) (+.f64 (.f64 -1 (*.f64 y x)) x))
(.f64 (-.f64 (+.f64 1 (.f64 y y)) y) x)
(*.f64 (-.f64 (fma.f64 y y 1) y) x)
(fma.f64 y (-.f64 (*.f64 y x) x) x)
(fma.f64 x (-.f64 (*.f64 y y) y) x)
(*.f64 (pow.f64 y 2) x)
(.f64 (.f64 y y) x)
(.f64 y (.f64 y x))
(+.f64 (.f64 (pow.f64 y 2) x) (.f64 -1 (*.f64 y x)))
(fma.f64 (.f64 y y) x (.f64 (neg.f64 y) x))
(.f64 x (-.f64 (.f64 y y) y))
(.f64 y (-.f64 (.f64 y x) x))
(+.f64 (.f64 (pow.f64 y 2) x) (+.f64 (.f64 -1 (*.f64 y x)) x))
(.f64 (-.f64 (+.f64 1 (.f64 y y)) y) x)
(*.f64 (-.f64 (fma.f64 y y 1) y) x)
(fma.f64 y (-.f64 (*.f64 y x) x) x)
(fma.f64 x (-.f64 (*.f64 y y) y) x)
(+.f64 (.f64 (pow.f64 y 2) x) (+.f64 (.f64 -1 (*.f64 y x)) x))
(.f64 (-.f64 (+.f64 1 (.f64 y y)) y) x)
(*.f64 (-.f64 (fma.f64 y y 1) y) x)
(fma.f64 y (-.f64 (*.f64 y x) x) x)
(fma.f64 x (-.f64 (*.f64 y y) y) x)
(*.f64 (pow.f64 y 2) x)
(.f64 (.f64 y y) x)
(.f64 y (.f64 y x))
(+.f64 (.f64 (pow.f64 y 2) x) (.f64 -1 (*.f64 y x)))
(fma.f64 (.f64 y y) x (.f64 (neg.f64 y) x))
(.f64 x (-.f64 (.f64 y y) y))
(.f64 y (-.f64 (.f64 y x) x))
(+.f64 (.f64 (pow.f64 y 2) x) (+.f64 (.f64 -1 (*.f64 y x)) x))
(.f64 (-.f64 (+.f64 1 (.f64 y y)) y) x)
(*.f64 (-.f64 (fma.f64 y y 1) y) x)
(fma.f64 y (-.f64 (*.f64 y x) x) x)
(fma.f64 x (-.f64 (*.f64 y y) y) x)
(+.f64 (.f64 (pow.f64 y 2) x) (+.f64 (.f64 -1 (*.f64 y x)) x))
(.f64 (-.f64 (+.f64 1 (.f64 y y)) y) x)
(*.f64 (-.f64 (fma.f64 y y 1) y) x)
(fma.f64 y (-.f64 (*.f64 y x) x) x)
(fma.f64 x (-.f64 (*.f64 y y) y) x)
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1 (*.f64 (pow.f64 y 2) x)))
(fma.f64 y x (neg.f64 (.f64 (.f64 y y) x)))
(.f64 x (+.f64 y (.f64 (neg.f64 y) y)))
(.f64 x (-.f64 y (.f64 y y)))
(.f64 y (-.f64 x (.f64 y x)))
(*.f64 y (fma.f64 x (neg.f64 y) x))
(*.f64 y (fma.f64 y (neg.f64 x) x))
(+.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 (.f64 y y) x) (*.f64 x (pow.f64 y 3))))
(fma.f64 y x (.f64 x (+.f64 (pow.f64 y 3) (.f64 (neg.f64 y) y))))
(.f64 y (.f64 (-.f64 (fma.f64 y y 1) y) x))
(.f64 y (fma.f64 y (-.f64 (.f64 y x) x) x))
(.f64 y (fma.f64 x (-.f64 (.f64 y y) y) x))
(+.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 (.f64 y y) x) (*.f64 x (pow.f64 y 3))))
(fma.f64 y x (.f64 x (+.f64 (pow.f64 y 3) (.f64 (neg.f64 y) y))))
(.f64 y (.f64 (-.f64 (fma.f64 y y 1) y) x))
(.f64 y (fma.f64 y (-.f64 (.f64 y x) x) x))
(.f64 y (fma.f64 x (-.f64 (.f64 y y) y) x))
(*.f64 (pow.f64 y 3) x)
(*.f64 x (pow.f64 y 3))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) x)) (*.f64 (pow.f64 y 3) x))
(fma.f64 -1 (.f64 (.f64 y y) x) (*.f64 x (pow.f64 y 3)))
(.f64 x (+.f64 (pow.f64 y 3) (.f64 (neg.f64 y) y)))
(.f64 (.f64 y y) (-.f64 (*.f64 y x) x))
(.f64 y (.f64 y (-.f64 (*.f64 y x) x)))
(+.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 (.f64 y y) x) (*.f64 x (pow.f64 y 3))))
(fma.f64 y x (.f64 x (+.f64 (pow.f64 y 3) (.f64 (neg.f64 y) y))))
(.f64 y (.f64 (-.f64 (fma.f64 y y 1) y) x))
(.f64 y (fma.f64 y (-.f64 (.f64 y x) x) x))
(.f64 y (fma.f64 x (-.f64 (.f64 y y) y) x))
(+.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 (.f64 y y) x) (*.f64 x (pow.f64 y 3))))
(fma.f64 y x (.f64 x (+.f64 (pow.f64 y 3) (.f64 (neg.f64 y) y))))
(.f64 y (.f64 (-.f64 (fma.f64 y y 1) y) x))
(.f64 y (fma.f64 y (-.f64 (.f64 y x) x) x))
(.f64 y (fma.f64 x (-.f64 (.f64 y y) y) x))
(*.f64 (pow.f64 y 3) x)
(*.f64 x (pow.f64 y 3))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) x)) (*.f64 (pow.f64 y 3) x))
(fma.f64 -1 (.f64 (.f64 y y) x) (*.f64 x (pow.f64 y 3)))
(.f64 x (+.f64 (pow.f64 y 3) (.f64 (neg.f64 y) y)))
(.f64 (.f64 y y) (-.f64 (*.f64 y x) x))
(.f64 y (.f64 y (-.f64 (*.f64 y x) x)))
(+.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 (.f64 y y) x) (*.f64 x (pow.f64 y 3))))
(fma.f64 y x (.f64 x (+.f64 (pow.f64 y 3) (.f64 (neg.f64 y) y))))
(.f64 y (.f64 (-.f64 (fma.f64 y y 1) y) x))
(.f64 y (fma.f64 y (-.f64 (.f64 y x) x) x))
(.f64 y (fma.f64 x (-.f64 (.f64 y y) y) x))
(+.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 (.f64 y y) x) (*.f64 x (pow.f64 y 3))))
(fma.f64 y x (.f64 x (+.f64 (pow.f64 y 3) (.f64 (neg.f64 y) y))))
(.f64 y (.f64 (-.f64 (fma.f64 y y 1) y) x))
(.f64 y (fma.f64 y (-.f64 (.f64 y x) x) x))
(.f64 y (fma.f64 x (-.f64 (.f64 y y) y) x))
(.f64 (-.f64 (+.f64 1 (pow.f64 y 2)) y) (.f64 y x))
(fma.f64 y x (fma.f64 -1 (.f64 (.f64 y y) x) (*.f64 x (pow.f64 y 3))))
(fma.f64 y x (.f64 x (+.f64 (pow.f64 y 3) (.f64 (neg.f64 y) y))))
(.f64 y (.f64 (-.f64 (fma.f64 y y 1) y) x))
(.f64 y (fma.f64 y (-.f64 (.f64 y x) x) x))
(.f64 y (fma.f64 x (-.f64 (.f64 y y) y) x))
(.f64 (-.f64 (+.f64 1 (pow.f64 y 2)) y) (.f64 y x))
(fma.f64 y x (fma.f64 -1 (.f64 (.f64 y y) x) (*.f64 x (pow.f64 y 3))))
(fma.f64 y x (.f64 x (+.f64 (pow.f64 y 3) (.f64 (neg.f64 y) y))))
(.f64 y (.f64 (-.f64 (fma.f64 y y 1) y) x))
(.f64 y (fma.f64 y (-.f64 (.f64 y x) x) x))
(.f64 y (fma.f64 x (-.f64 (.f64 y y) y) x))
(.f64 (-.f64 (+.f64 1 (pow.f64 y 2)) y) (.f64 y x))
(fma.f64 y x (fma.f64 -1 (.f64 (.f64 y y) x) (*.f64 x (pow.f64 y 3))))
(fma.f64 y x (.f64 x (+.f64 (pow.f64 y 3) (.f64 (neg.f64 y) y))))
(.f64 y (.f64 (-.f64 (fma.f64 y y 1) y) x))
(.f64 y (fma.f64 y (-.f64 (.f64 y x) x) x))
(.f64 y (fma.f64 x (-.f64 (.f64 y y) y) x))
(.f64 (-.f64 (+.f64 1 (pow.f64 y 2)) y) (.f64 y x))
(fma.f64 y x (fma.f64 -1 (.f64 (.f64 y y) x) (*.f64 x (pow.f64 y 3))))
(fma.f64 y x (.f64 x (+.f64 (pow.f64 y 3) (.f64 (neg.f64 y) y))))
(.f64 y (.f64 (-.f64 (fma.f64 y y 1) y) x))
(.f64 y (fma.f64 y (-.f64 (.f64 y x) x) x))
(.f64 y (fma.f64 x (-.f64 (.f64 y y) y) x))
(.f64 (-.f64 (+.f64 1 (pow.f64 y 2)) y) (.f64 y x))
(fma.f64 y x (fma.f64 -1 (.f64 (.f64 y y) x) (*.f64 x (pow.f64 y 3))))
(fma.f64 y x (.f64 x (+.f64 (pow.f64 y 3) (.f64 (neg.f64 y) y))))
(.f64 y (.f64 (-.f64 (fma.f64 y y 1) y) x))
(.f64 y (fma.f64 y (-.f64 (.f64 y x) x) x))
(.f64 y (fma.f64 x (-.f64 (.f64 y y) y) x))
(.f64 (-.f64 (+.f64 1 (pow.f64 y 2)) y) (.f64 y x))
(fma.f64 y x (fma.f64 -1 (.f64 (.f64 y y) x) (*.f64 x (pow.f64 y 3))))
(fma.f64 y x (.f64 x (+.f64 (pow.f64 y 3) (.f64 (neg.f64 y) y))))
(.f64 y (.f64 (-.f64 (fma.f64 y y 1) y) x))
(.f64 y (fma.f64 y (-.f64 (.f64 y x) x) x))
(.f64 y (fma.f64 x (-.f64 (.f64 y y) y) x))
(.f64 (-.f64 (+.f64 1 (pow.f64 y 2)) y) (.f64 y x))
(fma.f64 y x (fma.f64 -1 (.f64 (.f64 y y) x) (*.f64 x (pow.f64 y 3))))
(fma.f64 y x (.f64 x (+.f64 (pow.f64 y 3) (.f64 (neg.f64 y) y))))
(.f64 y (.f64 (-.f64 (fma.f64 y y 1) y) x))
(.f64 y (fma.f64 y (-.f64 (.f64 y x) x) x))
(.f64 y (fma.f64 x (-.f64 (.f64 y y) y) x))
(.f64 (-.f64 (+.f64 1 (pow.f64 y 2)) y) (.f64 y x))
(fma.f64 y x (fma.f64 -1 (.f64 (.f64 y y) x) (*.f64 x (pow.f64 y 3))))
(fma.f64 y x (.f64 x (+.f64 (pow.f64 y 3) (.f64 (neg.f64 y) y))))
(.f64 y (.f64 (-.f64 (fma.f64 y y 1) y) x))
(.f64 y (fma.f64 y (-.f64 (.f64 y x) x) x))
(.f64 y (fma.f64 x (-.f64 (.f64 y y) y) x))
(.f64 (-.f64 (+.f64 1 (pow.f64 y 2)) y) (.f64 y x))
(fma.f64 y x (fma.f64 -1 (.f64 (.f64 y y) x) (*.f64 x (pow.f64 y 3))))
(fma.f64 y x (.f64 x (+.f64 (pow.f64 y 3) (.f64 (neg.f64 y) y))))
(.f64 y (.f64 (-.f64 (fma.f64 y y 1) y) x))
(.f64 y (fma.f64 y (-.f64 (.f64 y x) x) x))
(.f64 y (fma.f64 x (-.f64 (.f64 y y) y) x))
(.f64 (-.f64 (+.f64 1 (pow.f64 y 2)) y) (.f64 y x))
(fma.f64 y x (fma.f64 -1 (.f64 (.f64 y y) x) (*.f64 x (pow.f64 y 3))))
(fma.f64 y x (.f64 x (+.f64 (pow.f64 y 3) (.f64 (neg.f64 y) y))))
(.f64 y (.f64 (-.f64 (fma.f64 y y 1) y) x))
(.f64 y (fma.f64 y (-.f64 (.f64 y x) x) x))
(.f64 y (fma.f64 x (-.f64 (.f64 y y) y) x))
(.f64 (-.f64 (+.f64 1 (pow.f64 y 2)) y) (.f64 y x))
(fma.f64 y x (fma.f64 -1 (.f64 (.f64 y y) x) (*.f64 x (pow.f64 y 3))))
(fma.f64 y x (.f64 x (+.f64 (pow.f64 y 3) (.f64 (neg.f64 y) y))))
(.f64 y (.f64 (-.f64 (fma.f64 y y 1) y) x))
(.f64 y (fma.f64 y (-.f64 (.f64 y x) x) x))
(.f64 y (fma.f64 x (-.f64 (.f64 y y) y) x))
(.f64 (-.f64 (+.f64 1 (pow.f64 y 2)) y) (.f64 y x))
(fma.f64 y x (fma.f64 -1 (.f64 (.f64 y y) x) (*.f64 x (pow.f64 y 3))))
(fma.f64 y x (.f64 x (+.f64 (pow.f64 y 3) (.f64 (neg.f64 y) y))))
(.f64 y (.f64 (-.f64 (fma.f64 y y 1) y) x))
(.f64 y (fma.f64 y (-.f64 (.f64 y x) x) x))
(.f64 y (fma.f64 x (-.f64 (.f64 y y) y) x))
1
(+.f64 1 (*.f64 -1 y))
(+.f64 1 (neg.f64 y))
(-.f64 1 y)
(+.f64 1 (+.f64 (pow.f64 y 2) (*.f64 -1 y)))
(-.f64 (+.f64 1 (*.f64 y y)) y)
(-.f64 (fma.f64 y y 1) y)
(+.f64 1 (+.f64 (pow.f64 y 2) (*.f64 -1 y)))
(-.f64 (+.f64 1 (*.f64 y y)) y)
(-.f64 (fma.f64 y y 1) y)
(pow.f64 y 2)
(*.f64 y y)
(+.f64 (pow.f64 y 2) (*.f64 -1 y))
(+.f64 (*.f64 y y) (neg.f64 y))
(-.f64 (*.f64 y y) y)
(+.f64 1 (+.f64 (pow.f64 y 2) (*.f64 -1 y)))
(-.f64 (+.f64 1 (*.f64 y y)) y)
(-.f64 (fma.f64 y y 1) y)
(+.f64 1 (+.f64 (pow.f64 y 2) (*.f64 -1 y)))
(-.f64 (+.f64 1 (*.f64 y y)) y)
(-.f64 (fma.f64 y y 1) y)
(pow.f64 y 2)
(*.f64 y y)
(+.f64 (pow.f64 y 2) (*.f64 -1 y))
(+.f64 (*.f64 y y) (neg.f64 y))
(-.f64 (*.f64 y y) y)
(+.f64 1 (+.f64 (pow.f64 y 2) (*.f64 -1 y)))
(-.f64 (+.f64 1 (*.f64 y y)) y)
(-.f64 (fma.f64 y y 1) y)
(+.f64 1 (+.f64 (pow.f64 y 2) (*.f64 -1 y)))
(-.f64 (+.f64 1 (*.f64 y y)) y)
(-.f64 (fma.f64 y y 1) y)

eval30.0ms (1%)

Compiler: Compiled 1479 to 828 computations (44% saved)

prune18.0ms (0.6%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	101	1	102
Fresh	0	1	1
Picked	1	0	1
Done	0	4	4
Total	102	6	108

Error

Counts

108 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	36.8b	(.f64 y (.f64 x (+.f64 (*.f64 y y) (-.f64 1 y))))
✓	36.8b	(*.f64 y x)
	26.6b	x
✓	26.9b	(-.f64 x (/.f64 x y))
✓	0.0b	(*.f64 x (/.f64 y (+.f64 y 1)))
✓	9.6b	(/.f64 (*.f64 x y) (+.f64 y 1))

Compiler

Compiled 46 to 29 computations (37% saved)

localize37.0ms (1.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 y y) (-.f64 1 y))
✓	0.1b	(.f64 y (.f64 x (+.f64 (*.f64 y y) (-.f64 1 y))))
✓	5.5b	(.f64 x (+.f64 (.f64 y y) (-.f64 1 y)))

Compiler

Compiled 38 to 18 computations (52.6% saved)

series6.0ms (0.2%)

Counts

3 → 60

Calls

15 calls:

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

rewrite95.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

509×	`log-prod_binary64`
446×	`pow-prod-down_binary64`
418×	`fma-def_binary64`
269×	`pow2_binary64`
188×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	33
1	203	33
2	2993	33

Stop Event

1×	node limit

Counts

3 → 158

Calls

Call 1

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

Outputs

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(2) ((x pow.f64 (pow.f64 (-.f64 (fma.f64 y y 1) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (fma.f64 y y 1) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 y (sqrt.f64 (-.f64 1 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (-.f64 1 y) (-.f64 (-.f64 1 y) (*.f64 y y)) (pow.f64 y 4)) (+.f64 (pow.f64 y 6) (pow.f64 (-.f64 1 y) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (fma.f64 y y -1) y) (-.f64 (pow.f64 y 4) (pow.f64 (-.f64 1 y) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (fma.f64 y y 1) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (fma.f64 y y 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 y y 1) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (fma.f64 y y 1)) (+.f64 1 (expm1.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y y))) (exp.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 y) y) (+.f64 1 (expm1.f64 (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y y))) (+.f64 1 (expm1.f64 (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 1 y))) (pow.f64 (exp.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (-.f64 1 y)) (+.f64 1 (expm1.f64 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 1 y))) (+.f64 1 (expm1.f64 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 y y 1)) (exp.f64 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (fma.f64 y y 1) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (fma.f64 y y 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (fma.f64 y y 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (fma.f64 y y 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 y y 1) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (fma.f64 y y 1) y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (fma.f64 y y 1) y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 y (sqrt.f64 (-.f64 1 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (fma.f64 y y 1) y)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y y (-.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y y) 1 (-.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y y) (-.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 1 y) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 y y 1) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 y) 1 (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (pow.f64 (-.f64 1 y) 2)) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (-.f64 1 y) 2)) (cbrt.f64 (-.f64 1 y)) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) y) (-.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 y) y) (cbrt.f64 (*.f64 y y)) (-.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 y)) (sqrt.f64 (-.f64 1 y)) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (pow.f64 y 3/2) (-.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 y 3)) (/.f64 1 (+.f64 1 (fma.f64 y y y))) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 y y)) (/.f64 1 (+.f64 y 1)) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y 3/2) (sqrt.f64 y) (-.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y y 1)) 2) (cbrt.f64 (fma.f64 y y 1)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 y) (hypot.f64 1 y) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 5) (cbrt.f64 y) (-.f64 1 y))))))

simplify85.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

554×	`fma-neg_binary64`
536×	`distribute-rgt-neg-in_binary64`
536×	`cancel-sign-sub-inv_binary64`
413×	`distribute-lft-neg-in_binary64`
350×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	819
1	79	717
2	209	621
3	584	621
4	1934	621
5	5108	621

Stop Event

1×	node limit

Counts

218 → 186

Calls

Call 1

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

Outputs
(*.f64 (-.f64 (+.f64 1 (pow.f64 y 2)) y) x)
(.f64 (-.f64 (+.f64 1 (.f64 y y)) y) x)
(*.f64 (-.f64 (fma.f64 y y 1) y) x)
(fma.f64 y (-.f64 (*.f64 y x) x) x)
(fma.f64 x (-.f64 (*.f64 y y) y) x)
(*.f64 (-.f64 (+.f64 1 (pow.f64 y 2)) y) x)
(.f64 (-.f64 (+.f64 1 (.f64 y y)) y) x)
(*.f64 (-.f64 (fma.f64 y y 1) y) x)
(fma.f64 y (-.f64 (*.f64 y x) x) x)
(fma.f64 x (-.f64 (*.f64 y y) y) x)
(*.f64 (-.f64 (+.f64 1 (pow.f64 y 2)) y) x)
(.f64 (-.f64 (+.f64 1 (.f64 y y)) y) x)
(*.f64 (-.f64 (fma.f64 y y 1) y) x)
(fma.f64 y (-.f64 (*.f64 y x) x) x)
(fma.f64 x (-.f64 (*.f64 y y) y) x)
(*.f64 (-.f64 (+.f64 1 (pow.f64 y 2)) y) x)
(.f64 (-.f64 (+.f64 1 (.f64 y y)) y) x)
(*.f64 (-.f64 (fma.f64 y y 1) y) x)
(fma.f64 y (-.f64 (*.f64 y x) x) x)
(fma.f64 x (-.f64 (*.f64 y y) y) x)
(*.f64 (-.f64 (+.f64 1 (pow.f64 y 2)) y) x)
(.f64 (-.f64 (+.f64 1 (.f64 y y)) y) x)
(*.f64 (-.f64 (fma.f64 y y 1) y) x)
(fma.f64 y (-.f64 (*.f64 y x) x) x)
(fma.f64 x (-.f64 (*.f64 y y) y) x)
(*.f64 (-.f64 (+.f64 1 (pow.f64 y 2)) y) x)
(.f64 (-.f64 (+.f64 1 (.f64 y y)) y) x)
(*.f64 (-.f64 (fma.f64 y y 1) y) x)
(fma.f64 y (-.f64 (*.f64 y x) x) x)
(fma.f64 x (-.f64 (*.f64 y y) y) x)
(*.f64 (-.f64 (+.f64 1 (pow.f64 y 2)) y) x)
(.f64 (-.f64 (+.f64 1 (.f64 y y)) y) x)
(*.f64 (-.f64 (fma.f64 y y 1) y) x)
(fma.f64 y (-.f64 (*.f64 y x) x) x)
(fma.f64 x (-.f64 (*.f64 y y) y) x)
(*.f64 (-.f64 (+.f64 1 (pow.f64 y 2)) y) x)
(.f64 (-.f64 (+.f64 1 (.f64 y y)) y) x)
(*.f64 (-.f64 (fma.f64 y y 1) y) x)
(fma.f64 y (-.f64 (*.f64 y x) x) x)
(fma.f64 x (-.f64 (*.f64 y y) y) x)
(*.f64 (-.f64 (+.f64 1 (pow.f64 y 2)) y) x)
(.f64 (-.f64 (+.f64 1 (.f64 y y)) y) x)
(*.f64 (-.f64 (fma.f64 y y 1) y) x)
(fma.f64 y (-.f64 (*.f64 y x) x) x)
(fma.f64 x (-.f64 (*.f64 y y) y) x)
(*.f64 (-.f64 (+.f64 1 (pow.f64 y 2)) y) x)
(.f64 (-.f64 (+.f64 1 (.f64 y y)) y) x)
(*.f64 (-.f64 (fma.f64 y y 1) y) x)
(fma.f64 y (-.f64 (*.f64 y x) x) x)
(fma.f64 x (-.f64 (*.f64 y y) y) x)
(*.f64 (-.f64 (+.f64 1 (pow.f64 y 2)) y) x)
(.f64 (-.f64 (+.f64 1 (.f64 y y)) y) x)
(*.f64 (-.f64 (fma.f64 y y 1) y) x)
(fma.f64 y (-.f64 (*.f64 y x) x) x)
(fma.f64 x (-.f64 (*.f64 y y) y) x)
(*.f64 (-.f64 (+.f64 1 (pow.f64 y 2)) y) x)
(.f64 (-.f64 (+.f64 1 (.f64 y y)) y) x)
(*.f64 (-.f64 (fma.f64 y y 1) y) x)
(fma.f64 y (-.f64 (*.f64 y x) x) x)
(fma.f64 x (-.f64 (*.f64 y y) y) x)
x
(+.f64 (.f64 -1 (.f64 y x)) x)
(fma.f64 -1 (*.f64 y x) x)
(-.f64 x (*.f64 y x))
(fma.f64 x (neg.f64 y) x)
(fma.f64 y (neg.f64 x) x)
(+.f64 (.f64 (pow.f64 y 2) x) (+.f64 (.f64 -1 (*.f64 y x)) x))
(.f64 (-.f64 (+.f64 1 (.f64 y y)) y) x)
(*.f64 (-.f64 (fma.f64 y y 1) y) x)
(fma.f64 y (-.f64 (*.f64 y x) x) x)
(fma.f64 x (-.f64 (*.f64 y y) y) x)
(+.f64 (.f64 (pow.f64 y 2) x) (+.f64 (.f64 -1 (*.f64 y x)) x))
(.f64 (-.f64 (+.f64 1 (.f64 y y)) y) x)
(*.f64 (-.f64 (fma.f64 y y 1) y) x)
(fma.f64 y (-.f64 (*.f64 y x) x) x)
(fma.f64 x (-.f64 (*.f64 y y) y) x)
(*.f64 (pow.f64 y 2) x)
(.f64 (.f64 y y) x)
(.f64 y (.f64 y x))
(+.f64 (.f64 (pow.f64 y 2) x) (.f64 -1 (*.f64 y x)))
(fma.f64 (.f64 y y) x (.f64 (neg.f64 y) x))
(.f64 x (-.f64 (.f64 y y) y))
(.f64 y (-.f64 (.f64 y x) x))
(+.f64 (.f64 (pow.f64 y 2) x) (+.f64 (.f64 -1 (*.f64 y x)) x))
(.f64 (-.f64 (+.f64 1 (.f64 y y)) y) x)
(*.f64 (-.f64 (fma.f64 y y 1) y) x)
(fma.f64 y (-.f64 (*.f64 y x) x) x)
(fma.f64 x (-.f64 (*.f64 y y) y) x)
(+.f64 (.f64 (pow.f64 y 2) x) (+.f64 (.f64 -1 (*.f64 y x)) x))
(.f64 (-.f64 (+.f64 1 (.f64 y y)) y) x)
(*.f64 (-.f64 (fma.f64 y y 1) y) x)
(fma.f64 y (-.f64 (*.f64 y x) x) x)
(fma.f64 x (-.f64 (*.f64 y y) y) x)
(*.f64 (pow.f64 y 2) x)
(.f64 (.f64 y y) x)
(.f64 y (.f64 y x))
(+.f64 (.f64 (pow.f64 y 2) x) (.f64 -1 (*.f64 y x)))
(fma.f64 (.f64 y y) x (.f64 (neg.f64 y) x))
(.f64 x (-.f64 (.f64 y y) y))
(.f64 y (-.f64 (.f64 y x) x))
(+.f64 (.f64 (pow.f64 y 2) x) (+.f64 (.f64 -1 (*.f64 y x)) x))
(.f64 (-.f64 (+.f64 1 (.f64 y y)) y) x)
(*.f64 (-.f64 (fma.f64 y y 1) y) x)
(fma.f64 y (-.f64 (*.f64 y x) x) x)
(fma.f64 x (-.f64 (*.f64 y y) y) x)
(+.f64 (.f64 (pow.f64 y 2) x) (+.f64 (.f64 -1 (*.f64 y x)) x))
(.f64 (-.f64 (+.f64 1 (.f64 y y)) y) x)
(*.f64 (-.f64 (fma.f64 y y 1) y) x)
(fma.f64 y (-.f64 (*.f64 y x) x) x)
(fma.f64 x (-.f64 (*.f64 y y) y) x)
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1 (*.f64 (pow.f64 y 2) x)))
(fma.f64 y x (neg.f64 (.f64 (.f64 y y) x)))
(.f64 x (+.f64 y (.f64 (neg.f64 y) y)))
(.f64 x (-.f64 y (.f64 y y)))
(.f64 y (-.f64 x (.f64 y x)))
(*.f64 y (fma.f64 x (neg.f64 y) x))
(*.f64 y (fma.f64 y (neg.f64 x) x))
(+.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 (.f64 y y) x) (*.f64 x (pow.f64 y 3))))
(fma.f64 y x (.f64 x (+.f64 (pow.f64 y 3) (.f64 (neg.f64 y) y))))
(.f64 y (.f64 (-.f64 (fma.f64 y y 1) y) x))
(.f64 y (fma.f64 y (-.f64 (.f64 y x) x) x))
(.f64 y (fma.f64 x (-.f64 (.f64 y y) y) x))
(+.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 (.f64 y y) x) (*.f64 x (pow.f64 y 3))))
(fma.f64 y x (.f64 x (+.f64 (pow.f64 y 3) (.f64 (neg.f64 y) y))))
(.f64 y (.f64 (-.f64 (fma.f64 y y 1) y) x))
(.f64 y (fma.f64 y (-.f64 (.f64 y x) x) x))
(.f64 y (fma.f64 x (-.f64 (.f64 y y) y) x))
(*.f64 (pow.f64 y 3) x)
(*.f64 x (pow.f64 y 3))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) x)) (*.f64 (pow.f64 y 3) x))
(fma.f64 -1 (.f64 (.f64 y y) x) (*.f64 x (pow.f64 y 3)))
(.f64 x (+.f64 (pow.f64 y 3) (.f64 (neg.f64 y) y)))
(.f64 (.f64 y y) (-.f64 (*.f64 y x) x))
(.f64 y (.f64 y (-.f64 (*.f64 y x) x)))
(+.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 (.f64 y y) x) (*.f64 x (pow.f64 y 3))))
(fma.f64 y x (.f64 x (+.f64 (pow.f64 y 3) (.f64 (neg.f64 y) y))))
(.f64 y (.f64 (-.f64 (fma.f64 y y 1) y) x))
(.f64 y (fma.f64 y (-.f64 (.f64 y x) x) x))
(.f64 y (fma.f64 x (-.f64 (.f64 y y) y) x))
(+.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 (.f64 y y) x) (*.f64 x (pow.f64 y 3))))
(fma.f64 y x (.f64 x (+.f64 (pow.f64 y 3) (.f64 (neg.f64 y) y))))
(.f64 y (.f64 (-.f64 (fma.f64 y y 1) y) x))
(.f64 y (fma.f64 y (-.f64 (.f64 y x) x) x))
(.f64 y (fma.f64 x (-.f64 (.f64 y y) y) x))
(*.f64 (pow.f64 y 3) x)
(*.f64 x (pow.f64 y 3))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) x)) (*.f64 (pow.f64 y 3) x))
(fma.f64 -1 (.f64 (.f64 y y) x) (*.f64 x (pow.f64 y 3)))
(.f64 x (+.f64 (pow.f64 y 3) (.f64 (neg.f64 y) y)))
(.f64 (.f64 y y) (-.f64 (*.f64 y x) x))
(.f64 y (.f64 y (-.f64 (*.f64 y x) x)))
(+.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 (.f64 y y) x) (*.f64 x (pow.f64 y 3))))
(fma.f64 y x (.f64 x (+.f64 (pow.f64 y 3) (.f64 (neg.f64 y) y))))
(.f64 y (.f64 (-.f64 (fma.f64 y y 1) y) x))
(.f64 y (fma.f64 y (-.f64 (.f64 y x) x) x))
(.f64 y (fma.f64 x (-.f64 (.f64 y y) y) x))
(+.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 (.f64 y y) x) (*.f64 x (pow.f64 y 3))))
(fma.f64 y x (.f64 x (+.f64 (pow.f64 y 3) (.f64 (neg.f64 y) y))))
(.f64 y (.f64 (-.f64 (fma.f64 y y 1) y) x))
(.f64 y (fma.f64 y (-.f64 (.f64 y x) x) x))
(.f64 y (fma.f64 x (-.f64 (.f64 y y) y) x))
(.f64 (-.f64 (+.f64 1 (pow.f64 y 2)) y) (.f64 y x))
(fma.f64 y x (fma.f64 -1 (.f64 (.f64 y y) x) (*.f64 x (pow.f64 y 3))))
(fma.f64 y x (.f64 x (+.f64 (pow.f64 y 3) (.f64 (neg.f64 y) y))))
(.f64 y (.f64 (-.f64 (fma.f64 y y 1) y) x))
(.f64 y (fma.f64 y (-.f64 (.f64 y x) x) x))
(.f64 y (fma.f64 x (-.f64 (.f64 y y) y) x))
(.f64 (-.f64 (+.f64 1 (pow.f64 y 2)) y) (.f64 y x))
(fma.f64 y x (fma.f64 -1 (.f64 (.f64 y y) x) (*.f64 x (pow.f64 y 3))))
(fma.f64 y x (.f64 x (+.f64 (pow.f64 y 3) (.f64 (neg.f64 y) y))))
(.f64 y (.f64 (-.f64 (fma.f64 y y 1) y) x))
(.f64 y (fma.f64 y (-.f64 (.f64 y x) x) x))
(.f64 y (fma.f64 x (-.f64 (.f64 y y) y) x))
(.f64 (-.f64 (+.f64 1 (pow.f64 y 2)) y) (.f64 y x))
(fma.f64 y x (fma.f64 -1 (.f64 (.f64 y y) x) (*.f64 x (pow.f64 y 3))))
(fma.f64 y x (.f64 x (+.f64 (pow.f64 y 3) (.f64 (neg.f64 y) y))))
(.f64 y (.f64 (-.f64 (fma.f64 y y 1) y) x))
(.f64 y (fma.f64 y (-.f64 (.f64 y x) x) x))
(.f64 y (fma.f64 x (-.f64 (.f64 y y) y) x))
(.f64 (-.f64 (+.f64 1 (pow.f64 y 2)) y) (.f64 y x))
(fma.f64 y x (fma.f64 -1 (.f64 (.f64 y y) x) (*.f64 x (pow.f64 y 3))))
(fma.f64 y x (.f64 x (+.f64 (pow.f64 y 3) (.f64 (neg.f64 y) y))))
(.f64 y (.f64 (-.f64 (fma.f64 y y 1) y) x))
(.f64 y (fma.f64 y (-.f64 (.f64 y x) x) x))
(.f64 y (fma.f64 x (-.f64 (.f64 y y) y) x))
(.f64 (-.f64 (+.f64 1 (pow.f64 y 2)) y) (.f64 y x))
(fma.f64 y x (fma.f64 -1 (.f64 (.f64 y y) x) (*.f64 x (pow.f64 y 3))))
(fma.f64 y x (.f64 x (+.f64 (pow.f64 y 3) (.f64 (neg.f64 y) y))))
(.f64 y (.f64 (-.f64 (fma.f64 y y 1) y) x))
(.f64 y (fma.f64 y (-.f64 (.f64 y x) x) x))
(.f64 y (fma.f64 x (-.f64 (.f64 y y) y) x))
(.f64 (-.f64 (+.f64 1 (pow.f64 y 2)) y) (.f64 y x))
(fma.f64 y x (fma.f64 -1 (.f64 (.f64 y y) x) (*.f64 x (pow.f64 y 3))))
(fma.f64 y x (.f64 x (+.f64 (pow.f64 y 3) (.f64 (neg.f64 y) y))))
(.f64 y (.f64 (-.f64 (fma.f64 y y 1) y) x))
(.f64 y (fma.f64 y (-.f64 (.f64 y x) x) x))
(.f64 y (fma.f64 x (-.f64 (.f64 y y) y) x))
(.f64 (-.f64 (+.f64 1 (pow.f64 y 2)) y) (.f64 y x))
(fma.f64 y x (fma.f64 -1 (.f64 (.f64 y y) x) (*.f64 x (pow.f64 y 3))))
(fma.f64 y x (.f64 x (+.f64 (pow.f64 y 3) (.f64 (neg.f64 y) y))))
(.f64 y (.f64 (-.f64 (fma.f64 y y 1) y) x))
(.f64 y (fma.f64 y (-.f64 (.f64 y x) x) x))
(.f64 y (fma.f64 x (-.f64 (.f64 y y) y) x))
(.f64 (-.f64 (+.f64 1 (pow.f64 y 2)) y) (.f64 y x))
(fma.f64 y x (fma.f64 -1 (.f64 (.f64 y y) x) (*.f64 x (pow.f64 y 3))))
(fma.f64 y x (.f64 x (+.f64 (pow.f64 y 3) (.f64 (neg.f64 y) y))))
(.f64 y (.f64 (-.f64 (fma.f64 y y 1) y) x))
(.f64 y (fma.f64 y (-.f64 (.f64 y x) x) x))
(.f64 y (fma.f64 x (-.f64 (.f64 y y) y) x))
(.f64 (-.f64 (+.f64 1 (pow.f64 y 2)) y) (.f64 y x))
(fma.f64 y x (fma.f64 -1 (.f64 (.f64 y y) x) (*.f64 x (pow.f64 y 3))))
(fma.f64 y x (.f64 x (+.f64 (pow.f64 y 3) (.f64 (neg.f64 y) y))))
(.f64 y (.f64 (-.f64 (fma.f64 y y 1) y) x))
(.f64 y (fma.f64 y (-.f64 (.f64 y x) x) x))
(.f64 y (fma.f64 x (-.f64 (.f64 y y) y) x))
(.f64 (-.f64 (+.f64 1 (pow.f64 y 2)) y) (.f64 y x))
(fma.f64 y x (fma.f64 -1 (.f64 (.f64 y y) x) (*.f64 x (pow.f64 y 3))))
(fma.f64 y x (.f64 x (+.f64 (pow.f64 y 3) (.f64 (neg.f64 y) y))))
(.f64 y (.f64 (-.f64 (fma.f64 y y 1) y) x))
(.f64 y (fma.f64 y (-.f64 (.f64 y x) x) x))
(.f64 y (fma.f64 x (-.f64 (.f64 y y) y) x))
(.f64 (-.f64 (+.f64 1 (pow.f64 y 2)) y) (.f64 y x))
(fma.f64 y x (fma.f64 -1 (.f64 (.f64 y y) x) (*.f64 x (pow.f64 y 3))))
(fma.f64 y x (.f64 x (+.f64 (pow.f64 y 3) (.f64 (neg.f64 y) y))))
(.f64 y (.f64 (-.f64 (fma.f64 y y 1) y) x))
(.f64 y (fma.f64 y (-.f64 (.f64 y x) x) x))
(.f64 y (fma.f64 x (-.f64 (.f64 y y) y) x))
(.f64 (-.f64 (+.f64 1 (pow.f64 y 2)) y) (.f64 y x))
(fma.f64 y x (fma.f64 -1 (.f64 (.f64 y y) x) (*.f64 x (pow.f64 y 3))))
(fma.f64 y x (.f64 x (+.f64 (pow.f64 y 3) (.f64 (neg.f64 y) y))))
(.f64 y (.f64 (-.f64 (fma.f64 y y 1) y) x))
(.f64 y (fma.f64 y (-.f64 (.f64 y x) x) x))
(.f64 y (fma.f64 x (-.f64 (.f64 y y) y) x))
1
(+.f64 1 (*.f64 -1 y))
(+.f64 1 (neg.f64 y))
(-.f64 1 y)
(+.f64 1 (+.f64 (pow.f64 y 2) (*.f64 -1 y)))
(-.f64 (+.f64 1 (*.f64 y y)) y)
(-.f64 (fma.f64 y y 1) y)
(+.f64 1 (+.f64 (pow.f64 y 2) (*.f64 -1 y)))
(-.f64 (+.f64 1 (*.f64 y y)) y)
(-.f64 (fma.f64 y y 1) y)
(pow.f64 y 2)
(*.f64 y y)
(+.f64 (pow.f64 y 2) (*.f64 -1 y))
(+.f64 (*.f64 y y) (neg.f64 y))
(-.f64 (*.f64 y y) y)
(+.f64 1 (+.f64 (pow.f64 y 2) (*.f64 -1 y)))
(-.f64 (+.f64 1 (*.f64 y y)) y)
(-.f64 (fma.f64 y y 1) y)
(+.f64 1 (+.f64 (pow.f64 y 2) (*.f64 -1 y)))
(-.f64 (+.f64 1 (*.f64 y y)) y)
(-.f64 (fma.f64 y y 1) y)
(pow.f64 y 2)
(*.f64 y y)
(+.f64 (pow.f64 y 2) (*.f64 -1 y))
(+.f64 (*.f64 y y) (neg.f64 y))
(-.f64 (*.f64 y y) y)
(+.f64 1 (+.f64 (pow.f64 y 2) (*.f64 -1 y)))
(-.f64 (+.f64 1 (*.f64 y y)) y)
(-.f64 (fma.f64 y y 1) y)
(+.f64 1 (+.f64 (pow.f64 y 2) (*.f64 -1 y)))
(-.f64 (+.f64 1 (*.f64 y y)) y)
(-.f64 (fma.f64 y y 1) y)

eval87.0ms (2.7%)

Compiler: Compiled 2876 to 1578 computations (45.1% saved)

prune58.0ms (1.8%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	186	0	186
Fresh	0	1	1
Picked	0	1	1
Done	0	4	4
Total	186	6	192

Error

Counts

192 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	36.8b	(.f64 y (.f64 x (+.f64 (*.f64 y y) (-.f64 1 y))))
✓	36.8b	(*.f64 y x)
	26.6b	x
✓	26.9b	(-.f64 x (/.f64 x y))
✓	0.0b	(*.f64 x (/.f64 y (+.f64 y 1)))
✓	9.6b	(/.f64 (*.f64 x y) (+.f64 y 1))

Compiler

Compiled 46 to 29 computations (37% saved)

regimes51.0ms (1.6%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

3 calls:

19.0ms	(/.f64 (*.f64 x y) (+.f64 y 1))
15.0ms	y
13.0ms	x

Results

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

Compiler

Compiled 73 to 39 computations (46.6% saved)

regimes76.0ms (2.4%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

2 calls:

57.0ms	x
15.0ms	y

Results

Error	Segments	Branch
22.2b	7	`x`
1.3b	3	`y`

Compiler

Compiled 18 to 9 computations (50% saved)

bsearch58.0ms (1.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	4.5647550601383184e-5	42.36322096825164
18.0ms	-243.95786548580054	-0.3547015236528428

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes52.0ms (1.6%)

Counts

3 → 3

Calls

Call 1

Inputs
x
x
(*.f64 y x)

Outputs
x
(*.f64 y x)
x

Calls

2 calls:

41.0ms	x
10.0ms	y

Results

Error	Segments	Branch
22.2b	7	`x`
1.6b	3	`y`

Compiler

Compiled 13 to 7 computations (46.2% saved)

bsearch36.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	4.5647550601383184e-5	42.36322096825164
19.0ms	-243.95786548580054	-0.3547015236528428

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes9.0ms (0.3%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs
x
x

Outputs
x

Calls

2 calls:

5.0ms	y
3.0ms	x

Results

Error	Segments	Branch
26.6b	1	`x`
26.6b	1	`y`

Compiler

Compiled 10 to 6 computations (40% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	59
1	26	59
2	32	59
3	36	59
4	39	59
5	40	59

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 x (/.f64 y (+.f64 y 1)))
(if (<=.f64 y -268234509789051/1099511627776) (-.f64 x (/.f64 x y)) (if (<=.f64 y 6736389468283377/147573952589676412928) (*.f64 y x) (-.f64 x (/.f64 x y))))
(if (<=.f64 y -268234509789051/1099511627776) x (if (<=.f64 y 6736389468283377/147573952589676412928) (*.f64 y x) x))
x

Outputs
(*.f64 x (/.f64 y (+.f64 y 1)))
(if (<=.f64 y -268234509789051/1099511627776) (-.f64 x (/.f64 x y)) (if (<=.f64 y 6736389468283377/147573952589676412928) (*.f64 y x) (-.f64 x (/.f64 x y))))
(if (<=.f64 y -268234509789051/1099511627776) (-.f64 x (/.f64 x y)) (if (<=.f64 y 6736389468283377/147573952589676412928) (*.f64 x y) (-.f64 x (/.f64 x y))))
(if (<=.f64 y -268234509789051/1099511627776) x (if (<=.f64 y 6736389468283377/147573952589676412928) (*.f64 y x) x))
(if (<=.f64 y -268234509789051/1099511627776) x (if (<=.f64 y 6736389468283377/147573952589676412928) (*.f64 x y) x))
x

Compiler

Compiled 50 to 28 computations (44% saved)

soundness11.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Compiler

Compiled 18 to 12 computations (33.3% saved)

end52.0ms (1.6%)

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

Details

analyze86.0ms (2.7%)

sample1.1s (34.4%)

preprocess18.0ms (0.6%)

simplify13.0ms (0.4%)

eval1.0ms (0%)

prune1.0ms (0%)

localize9.0ms (0.3%)

series7.0ms (0.2%)

rewrite62.0ms (1.9%)

simplify62.0ms (1.9%)

localize9.0ms (0.3%)

series2.0ms (0.1%)

rewrite62.0ms (1.9%)

simplify65.0ms (2.1%)

eval65.0ms (2%)

prune28.0ms (0.9%)

localize4.0ms (0.1%)

localize13.0ms (0.4%)

series8.0ms (0.3%)

rewrite85.0ms (2.7%)

simplify75.0ms (2.4%)

localize5.0ms (0.2%)

series3.0ms (0.1%)

rewrite62.0ms (2%)

simplify68.0ms (2.1%)

eval161.0ms (5.1%)

prune79.0ms (2.5%)

localize37.0ms (1.2%)

series15.0ms (0.5%)

rewrite127.0ms (4%)

simplify86.0ms (2.7%)

eval30.0ms (1%)

prune18.0ms (0.6%)

localize37.0ms (1.2%)

series6.0ms (0.2%)

rewrite95.0ms (3%)

simplify85.0ms (2.7%)

eval87.0ms (2.7%)

prune58.0ms (1.8%)

regimes51.0ms (1.6%)

regimes76.0ms (2.4%)

bsearch58.0ms (1.8%)

regimes52.0ms (1.6%)

bsearch36.0ms (1.1%)

regimes9.0ms (0.3%)

simplify6.0ms (0.2%)

soundness11.0ms (0.3%)

end52.0ms (1.6%)

Profiling