Details

analyze235.0ms (6.4%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
25%	74.9%	0.1%	7
31.2%	68.7%	0.1%	8
56.2%	43.7%	0.1%	9
60.9%	39%	0.1%	10
76.5%	23.4%	0.1%	11
79.2%	20.7%	0.1%	12

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample1.6s (44.4%)

Results

1.6s

8256×

body

256

valid

preprocess32.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

12×	`associate-/r*_binary64`
5×	`*-commutative_binary64`
4×	`associate-l_binary64`
4×	`associate-/l/_binary64`
2×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	24	26
2	39	26
3	49	26
4	49	26
0	2	2
1	2	2

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1
0

Call 2

Inputs
(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))
(/.f64 (+.f64 y x) (.f64 (.f64 y 2) x))

Outputs
(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))
(/.f64 (+.f64 x y) (.f64 x (.f64 y 2)))
(/.f64 (/.f64 (/.f64 (+.f64 x y) x) 2) y)
(/.f64 (+.f64 y x) (.f64 (.f64 y 2) x))
(/.f64 (+.f64 x y) (.f64 x (.f64 y 2)))
(/.f64 (/.f64 (/.f64 (+.f64 x y) x) 2) y)

Symmetry

(sort x y)

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify13.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

13×	`associate-/r*_binary64`
5×	`*-commutative_binary64`
4×	`associate-/l/_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	15	13
2	29	13
3	43	13
4	45	13

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))

Outputs
(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))
(/.f64 (+.f64 x y) (.f64 y (.f64 x 2)))
(/.f64 (+.f64 x y) (.f64 (.f64 y x) 2))
(/.f64 (+.f64 x y) (.f64 2 (.f64 x y)))

eval1.0ms (0%)

Compiler: Compiled 20 to 11 computations (45% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

16.8b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	16.8b	(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))

Compiler

Compiled 11 to 7 computations (36.4% saved)

localize19.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
	16.3b	(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))
✓	16.3b	(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))

Compiler

Compiled 25 to 13 computations (48% saved)

series11.0ms (0.3%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))
2.0ms	x	@	-inf	(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))
2.0ms	x	@	inf	(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))
2.0ms	x	@	0	(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))
2.0ms	y	@	inf	(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))

rewrite78.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

517×	`log-prod_binary64`
482×	`prod-diff_binary64`
384×	`exp-prod_binary64`
321×	`pow-prod-down_binary64`
243×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	180	13
2	2662	13

Stop Event

1×	node limit

Counts

1 → 57

Calls

Call 1

Inputs
(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x y) (/.f64 1 (.f64 x (.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2)))) 2) (cbrt.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2)))))))) (#(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 x (.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2)))) (sqrt.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 x y)) (.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (.f64 x (.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (+.f64 x y)) (/.f64 1 (.f64 x (neg.f64 (.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 x (.f64 y 2))) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 x y) (+.f64 x x)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 x) (/.f64 (+.f64 x y) (.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) x) (/.f64 (cbrt.f64 (+.f64 x y)) (.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 x y)) x) (/.f64 (sqrt.f64 (+.f64 x y)) (.f64 y 2)))))) (#(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 x (.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 x y)) 1) (/.f64 (sqrt.f64 (+.f64 x y)) (.f64 x (.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 x y)) (+.f64 x x)) (/.f64 (sqrt.f64 (+.f64 x y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 y) (/.f64 (+.f64 x y) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) y) (/.f64 (cbrt.f64 (+.f64 x y)) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 x y)) y) (/.f64 (sqrt.f64 (+.f64 x y)) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 x x)) (/.f64 (+.f64 x y) y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (+.f64 x x)) (/.f64 (cbrt.f64 (+.f64 x y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 y 2))) -2) (/.f64 (+.f64 x y) (cbrt.f64 (.f64 x (.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (pow.f64 (cbrt.f64 (.f64 x (.f64 y 2))) 2)) (cbrt.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (.f64 x (.f64 y 2))) 2)) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (.f64 x (.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 x (.f64 y 2)) -1/2) (/.f64 (+.f64 x y) (sqrt.f64 (.f64 x (.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (sqrt.f64 (.f64 x (.f64 y 2)))) (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 (.f64 x (.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (/.f64 (+.f64 x y) (.f64 y 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (.f64 x (.f64 y 2)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 x (/.f64 (+.f64 x y) (.f64 y 2))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2))))) 2)) (cbrt.f64 (log.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2)))))) (sqrt.f64 (log.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x y) (.f64 x (neg.f64 (.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (.f64 x (.f64 y 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 x (/.f64 (+.f64 x y) (.f64 y 2)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) (.f64 x (.f64 y 2)))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 x y) (*.f64 x (*.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (*.f64 x (*.f64 y 2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (*.f64 x (*.f64 y 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (*.f64 x (*.f64 y 2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (*.f64 x (*.f64 y 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (*.f64 x (*.f64 y 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x y) (/.f64 1 (*.f64 x (*.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x y) (*.f64 x (*.f64 y 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x y) (*.f64 x (*.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x y) (*.f64 x (*.f64 y 2)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (*.f64 x (*.f64 y 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (*.f64 x (*.f64 y 2)))) 2) (cbrt.f64 (/.f64 (+.f64 x y) (*.f64 x (*.f64 y 2)))))))) (#(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 x (*.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x y) (*.f64 x (*.f64 y 2)))) (sqrt.f64 (/.f64 (+.f64 x y) (*.f64 x (*.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (*.f64 x (*.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 x y)) (/.f64 1 (*.f64 x (neg.f64 (*.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x (*.f64 y 2))) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x y) (+.f64 x x)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (+.f64 x y) (*.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) x) (/.f64 (cbrt.f64 (+.f64 x y)) (*.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x y)) x) (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 y 2)))))) (#(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 x (*.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x y)) 1) (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 x (*.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (+.f64 x x)) (/.f64 (sqrt.f64 (+.f64 x y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 (+.f64 x y) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) y) (/.f64 (cbrt.f64 (+.f64 x y)) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x y)) y) (/.f64 (sqrt.f64 (+.f64 x y)) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x x)) (/.f64 (+.f64 x y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (+.f64 x x)) (/.f64 (cbrt.f64 (+.f64 x y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y 2))) -2) (/.f64 (+.f64 x y) (cbrt.f64 (*.f64 x (*.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y 2))) 2)) (cbrt.f64 (/.f64 (+.f64 x y) (*.f64 x (*.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y 2))) 2)) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (*.f64 x (*.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (*.f64 y 2)) -1/2) (/.f64 (+.f64 x y) (sqrt.f64 (*.f64 x (*.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (sqrt.f64 (*.f64 x (*.f64 y 2)))) (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 x (*.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x y) (*.f64 x (*.f64 y 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x y) (*.f64 x (*.f64 y 2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x y) (*.f64 x (*.f64 y 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (*.f64 x (*.f64 y 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) (*.f64 x (*.f64 y 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (/.f64 (+.f64 x y) (*.f64 y 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 (+.f64 x y) (*.f64 x (*.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (*.f64 x (*.f64 y 2)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 x (/.f64 (+.f64 x y) (*.f64 y 2))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 x y) (*.f64 x (*.f64 y 2))))) 2)) (cbrt.f64 (log.f64 (/.f64 (+.f64 x y) (*.f64 x (*.f64 y 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 x y) (*.f64 x (*.f64 y 2)))))) (sqrt.f64 (log.f64 (/.f64 (+.f64 x y) (*.f64 x (*.f64 y 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x y) (*.f64 x (neg.f64 (*.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) (*.f64 x (*.f64 y 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x y) (*.f64 x (*.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x y) (*.f64 x (*.f64 y 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (*.f64 x (*.f64 y 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (*.f64 x (*.f64 y 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) (*.f64 x (*.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 x y) (*.f64 x (*.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) (*.f64 x (*.f64 y 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (+.f64 x y) (*.f64 x (*.f64 y 2))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 x y) (*.f64 x (*.f64 y 2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x y) (*.f64 x (*.f64 y 2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 (+.f64 x y) (*.f64 y 2)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) (*.f64 x (*.f64 y 2)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) (*.f64 x (*.f64 y 2)))))))))

simplify19.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
3×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`associate-*r/_binary64`
1×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	204
1	21	204
2	28	204

Stop Event

1×

saturated

Counts

81 → 61

Calls

Call 1

Inputs
(/.f64 1/2 x)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 y)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 y)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 y)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 x)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 x)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))

Outputs
(/.f64 1/2 x)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 1/2 y)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 1/2 y)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 1/2 y)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 1/2 x)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 1/2 x)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))

eval24.0ms (0.7%)

Compiler: Compiled 904 to 491 computations (45.7% saved)

prune10.0ms (0.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	57	4	61
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	57	5	62

Error

0.0b

Counts

62 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	16.8b	(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))
▶	32.5b	(/.f64 1/2 y)
▶	0.0b	(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
▶	31.0b	(/.f64 1/2 x)
▶	38.9b	(.f64 (sqrt.f64 (+.f64 x y)) (.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (.f64 x (.f64 y 2)))))

Compiler

Compiled 49 to 33 computations (32.7% saved)

localize19.0ms (0.5%)

Local error

Found 6 expressions with local error:

New	Error	Program
	4.0b	(.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (.f64 x (*.f64 y 2))))
	2.8b	(.f64 (sqrt.f64 (+.f64 x y)) (.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (.f64 x (.f64 y 2)))))
	0.4b	(/.f64 1 (.f64 x (.f64 y 2)))
✓	0.4b	(/.f64 1 (.f64 x (.f64 y 2)))
✓	2.8b	(.f64 (sqrt.f64 (+.f64 x y)) (.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (.f64 x (.f64 y 2)))))
✓	4.0b	(.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (.f64 x (*.f64 y 2))))

Compiler

Compiled 57 to 29 computations (49.1% saved)

series13.0ms (0.4%)

Counts

3 → 56

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	(.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (.f64 x (*.f64 y 2))))
1.0ms	x	@	inf	(.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (.f64 x (*.f64 y 2))))
1.0ms	x	@	0	(.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (.f64 x (*.f64 y 2))))
1.0ms	y	@	inf	(.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (.f64 x (*.f64 y 2))))
1.0ms	x	@	-inf	(.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (.f64 x (*.f64 y 2))))

rewrite73.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

646×	`log-prod_binary64`
467×	`prod-diff_binary64`
306×	`pow2_binary64`
294×	`pow-unpow_binary64`
219×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	41
1	256	38
2	3392	38

Stop Event

1×	node limit

Counts

3 → 103

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (.f64 x (*.f64 y 2))))
(.f64 (sqrt.f64 (+.f64 x y)) (.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (.f64 x (.f64 y 2)))))
(/.f64 1 (.f64 x (.f64 y 2)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (.f64 x y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (.f64 x y)) 1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (.f64 x y)) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (.f64 x y)) 1/2)))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (.f64 x y)) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (.f64 x y)) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 x y)) (.f64 x (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (.f64 x (+.f64 y y)) (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 x y)) (/.f64 (.f64 x (+.f64 y y)) (cbrt.f64 (sqrt.f64 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 x y) 1/4) (/.f64 (.f64 x (+.f64 y y)) (pow.f64 (+.f64 x y) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (+.f64 x y))) (.f64 (.f64 x y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (+.f64 y y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 (+.f64 x y)) x) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (.f64 x (+.f64 y y)))) (sqrt.f64 (.f64 x (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 (+.f64 x y)) 1) (.f64 x (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (.f64 x (+.f64 y y))) 2)) (cbrt.f64 (.f64 x (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (.f64 x y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1 (sqrt.f64 (+.f64 x y))) (.f64 (.f64 x y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x y))) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 x y)) -1) (.f64 (.f64 x y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 x)) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (.f64 x y)) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x y) (.f64 (pow.f64 (.f64 x y) 2) 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (.f64 x y)) 1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (.f64 x y)) 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (.f64 x y)) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 x y) 3/2) (pow.f64 (.f64 x (+.f64 y y)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (+.f64 x y) 3/2) (pow.f64 (.f64 (/.f64 1 (.f64 x y)) 1/2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (.f64 (/.f64 1 (.f64 x y)) 1/2) 3) (pow.f64 (+.f64 x y) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 x (+.f64 y y)) (sqrt.f64 (+.f64 x y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (+.f64 x y) (.f64 (pow.f64 (.f64 x y) 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (.f64 x y)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (.f64 x y)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (.f64 x y)) 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) 3/2) (pow.f64 (.f64 x (+.f64 y y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (+.f64 x y) 3/2) (pow.f64 (.f64 (/.f64 1 (.f64 x y)) 1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 (/.f64 1 (.f64 x y)) 1/2) 3) (pow.f64 (+.f64 x y) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (.f64 x y)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (.f64 x y)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (.f64 x y)) 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (.f64 x y)) 1/2)))))))
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (/.f64 1 (.f64 x y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 1 (.f64 x y)) 1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 1 (.f64 x y)) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 1 (.f64 x y)) 1/2)))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 1 (.f64 x y)) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 1 (.f64 x y)) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (/.f64 1 (.f64 x y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1 (.f64 x y)) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (cbrt.f64 (.f64 (.f64 x y) -2))) (cbrt.f64 (pow.f64 (.f64 x (+.f64 y y)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 x (+.f64 y y)) -2)) (/.f64 -1 (cbrt.f64 (.f64 (.f64 x y) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 x (+.f64 y y)) -1/2) (pow.f64 (.f64 x (+.f64 y y)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 1 (.f64 (.f64 x y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 x) (/.f64 1 (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 y y)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 x (+.f64 y y))) 2)) (/.f64 -1 (cbrt.f64 (.f64 (.f64 x y) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 x y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (+.f64 y y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 1 (.f64 x y)) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (+.f64 y y)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (/.f64 1 (.f64 x y)) 1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (cbrt.f64 (.f64 (.f64 x y) -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (+.f64 y y)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (.f64 (.f64 x y) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (+.f64 y y)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 (/.f64 1 (.f64 x y)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 1 (.f64 x y)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (/.f64 1 (.f64 x y)) 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (/.f64 1 (.f64 x y)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (.f64 x (+.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (+.f64 y y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (neg.f64 (log.f64 (.f64 x (+.f64 y y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (/.f64 1 (*.f64 x y)) 1/2)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 x y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 x y)) 1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 x y)) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 x y)) 1/2)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 x y)) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 x y)) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 x y)) (*.f64 x (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x (+.f64 y y)) (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 x y)) (/.f64 (*.f64 x (+.f64 y y)) (cbrt.f64 (sqrt.f64 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 x y) 1/4) (/.f64 (*.f64 x (+.f64 y y)) (pow.f64 (+.f64 x y) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (+.f64 x y))) (*.f64 (*.f64 x y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (+.f64 y y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 (+.f64 x y)) x) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 x (+.f64 y y)))) (sqrt.f64 (*.f64 x (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 (+.f64 x y)) 1) (*.f64 x (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y y))) 2)) (cbrt.f64 (*.f64 x (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 x y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (sqrt.f64 (+.f64 x y))) (*.f64 (*.f64 x y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x y))) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 x y)) -1) (*.f64 (*.f64 x y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 x)) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 x y)) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x y) (*.f64 (pow.f64 (*.f64 x y) 2) 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 x y)) 1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 x y)) 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 x y)) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 x y) 3/2) (pow.f64 (*.f64 x (+.f64 y y)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 x y) 3/2) (pow.f64 (*.f64 (/.f64 1 (*.f64 x y)) 1/2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 (/.f64 1 (*.f64 x y)) 1/2) 3) (pow.f64 (+.f64 x y) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x (+.f64 y y)) (sqrt.f64 (+.f64 x y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (+.f64 x y) (*.f64 (pow.f64 (*.f64 x y) 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 x y)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 x y)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 x y)) 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) 3/2) (pow.f64 (*.f64 x (+.f64 y y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 x y) 3/2) (pow.f64 (*.f64 (/.f64 1 (*.f64 x y)) 1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 1 (*.f64 x y)) 1/2) 3) (pow.f64 (+.f64 x y) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 x y)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 x y)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 x y)) 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 x y)) 1/2)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 x y) (*.f64 x (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (*.f64 x (+.f64 y y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (*.f64 x (+.f64 y y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (*.f64 x (+.f64 y y)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (*.f64 x (+.f64 y y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (*.f64 x (+.f64 y y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x y) (*.f64 x (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) 1) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (*.f64 x (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 (-.f64 x y) (*.f64 x (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) -1) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (*.f64 (*.f64 x y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) -1) (*.f64 (-.f64 x y) (*.f64 (*.f64 x y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 1 x)) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 1 x)) (*.f64 (-.f64 x y) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 (/.f64 1 (*.f64 x y)) 1/2)) (fma.f64 y (-.f64 y x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 1 (*.f64 x y)) 1/2)) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x y) -1) (*.f64 (*.f64 x y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x y) (/.f64 1 x)) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x y) (*.f64 x (+.f64 y y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x y) (*.f64 x (+.f64 y y))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x y) (*.f64 x (+.f64 y y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (*.f64 x (+.f64 y y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) (*.f64 x (+.f64 y y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (*.f64 (/.f64 1 (*.f64 x y)) 1/2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 x y) 3/2) (pow.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 x y)) 1/2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 x y)) 1/2) 3) (pow.f64 (+.f64 x y) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) (*.f64 x (+.f64 y y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x y) (*.f64 x (+.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x y) (*.f64 x (+.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (*.f64 x (+.f64 y y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (*.f64 (/.f64 1 (*.f64 x y)) 1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 x y) 3/2) (pow.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 x y)) 1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (*.f64 x y)) 1/2) 3) (pow.f64 (+.f64 x y) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) (*.f64 x (+.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 x y) (*.f64 x (+.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) (*.f64 x (+.f64 y y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) (*.f64 x (+.f64 y y)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 1 (*.f64 x y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 1 (*.f64 x y)) 1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 1 (*.f64 x y)) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 1 (*.f64 x y)) 1/2)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 1 (*.f64 x y)) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1 (*.f64 x y)) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 1 (*.f64 x y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (*.f64 x y)) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (*.f64 (*.f64 x y) -2))) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 y y)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 y y)) -2)) (/.f64 -1 (cbrt.f64 (*.f64 (*.f64 x y) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (+.f64 y y)) -1/2) (pow.f64 (*.f64 x (+.f64 y y)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 (*.f64 x y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 1 (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 y y)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y y))) 2)) (/.f64 -1 (cbrt.f64 (*.f64 (*.f64 x y) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 y y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1 (*.f64 x y)) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (+.f64 y y)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 1 (*.f64 x y)) 1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (cbrt.f64 (*.f64 (*.f64 x y) -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (+.f64 y y)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (*.f64 (*.f64 x y) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (+.f64 y y)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 1 (*.f64 x y)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1 (*.f64 x y)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 1 (*.f64 x y)) 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 1 (*.f64 x y)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (*.f64 x (+.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 y y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x (+.f64 y y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 1 (*.f64 x y)) 1/2)))))))

simplify77.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

998×	`fma-def_binary64`
557×	`associate-/r*_binary64`
386×	`times-frac_binary64`
378×	`associate-/l*_binary64`
373×	`associate-*l/_binary64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	67	654
1	169	636
2	382	635
3	948	632
4	2340	630
5	6349	618
6	6805	594
7	7505	594

Stop Event

1×	node limit

Counts

159 → 125

Calls

Call 1

Inputs
(.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) (/.f64 1 x)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) (/.f64 1 x))) (*.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 y 3)))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) (/.f64 1 x))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) x)) (*.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 y 3))))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) (/.f64 1 x))) (+.f64 (.f64 1/32 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 7))) (pow.f64 x 2))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) x)) (*.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 y 3)))))))
(.f64 1/2 (.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 x))))
(+.f64 (.f64 1/2 (.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 x)))) (*.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (.f64 -1/16 (.f64 y (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (+.f64 (.f64 1/2 (.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 x)))) (*.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (.f64 -1/16 (.f64 y (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (+.f64 (.f64 1/2 (.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 x)))) (+.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (.f64 1/32 (*.f64 (pow.f64 y 2) (sqrt.f64 (/.f64 1 (pow.f64 x 7))))))))
(/.f64 1/2 x)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 y)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 y)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 y)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 x)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 x)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 (*.f64 y x))
(/.f64 1/2 (*.f64 y x))
(/.f64 1/2 (*.f64 y x))
(/.f64 1/2 (*.f64 y x))
(/.f64 1/2 (*.f64 y x))
(/.f64 1/2 (*.f64 y x))
(/.f64 1/2 (*.f64 y x))
(/.f64 1/2 (*.f64 y x))
(/.f64 1/2 (*.f64 y x))
(/.f64 1/2 (*.f64 y x))
(/.f64 1/2 (*.f64 y x))
(/.f64 1/2 (*.f64 y x))
(/.f64 1/2 (*.f64 y x))
(/.f64 1/2 (*.f64 y x))
(/.f64 1/2 (*.f64 y x))
(/.f64 1/2 (*.f64 y x))
(/.f64 1/2 (*.f64 y x))
(/.f64 1/2 (*.f64 y x))
(/.f64 1/2 (*.f64 y x))
(/.f64 1/2 (*.f64 y x))
(/.f64 1/2 (*.f64 y x))
(/.f64 1/2 (*.f64 y x))
(/.f64 1/2 (*.f64 y x))
(/.f64 1/2 (*.f64 y x))

Outputs
(.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 1 y)) (/.f64 1/2 x))
(/.f64 (/.f64 1/2 x) (sqrt.f64 y))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) (/.f64 1 x))) (*.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 y 3)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) (/.f64 1 x)) (.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 y 3)))))
(fma.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (*.f64 (sqrt.f64 (/.f64 1 y)) (/.f64 1/2 x)))
(fma.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 y)) x) (*.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 y 3)))))
(fma.f64 1/4 (/.f64 1 (pow.f64 y 3/2)) (/.f64 (/.f64 1/2 x) (sqrt.f64 y)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) (/.f64 1 x))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) x)) (*.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 y 3))))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) (/.f64 1 x)) (fma.f64 -1/16 (.f64 x (sqrt.f64 (/.f64 1 (pow.f64 y 5)))) (*.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 y 3))))))
(fma.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 y)) x) (fma.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (.f64 x -1/16))))
(fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (.f64 x -1/16) (fma.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (.f64 (sqrt.f64 (/.f64 1 y)) (/.f64 1/2 x))))
(fma.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 y)) x) (fma.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (.f64 -1/16 (.f64 x (sqrt.f64 (/.f64 1 (pow.f64 y 5)))))))
(fma.f64 x (*.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 y 5)))) (fma.f64 1/4 (/.f64 1 (pow.f64 y 3/2)) (/.f64 (/.f64 1/2 x) (sqrt.f64 y))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) (/.f64 1 x))) (+.f64 (.f64 1/32 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 7))) (pow.f64 x 2))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) x)) (*.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 y 3)))))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 y)) (/.f64 1 x)) (fma.f64 1/32 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 7))) (.f64 x x)) (fma.f64 -1/16 (.f64 x (sqrt.f64 (/.f64 1 (pow.f64 y 5)))) (*.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 y 3)))))))
(fma.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 y)) x) (fma.f64 1/32 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 7))) (.f64 x x)) (fma.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (.f64 x -1/16)))))
(fma.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 y)) x) (fma.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (.f64 x (+.f64 (.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 y 5)))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 7))) (.f64 1/32 x))))))
(fma.f64 x (fma.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (.f64 1/32 (.f64 x (sqrt.f64 (/.f64 1 (pow.f64 y 7)))))) (fma.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (*.f64 (sqrt.f64 (/.f64 1 y)) (/.f64 1/2 x))))
(fma.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (fma.f64 x (fma.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (.f64 1/32 (.f64 x (sqrt.f64 (/.f64 1 (pow.f64 y 7)))))) (*.f64 (sqrt.f64 (/.f64 1 y)) (/.f64 1/2 x))))
(fma.f64 x (fma.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (.f64 1/32 (.f64 x (sqrt.f64 (/.f64 1 (pow.f64 y 7)))))) (fma.f64 1/4 (/.f64 1 (pow.f64 y 3/2)) (/.f64 (/.f64 1/2 x) (sqrt.f64 y))))
(.f64 1/2 (.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 x))))
(*.f64 (/.f64 1/2 y) (sqrt.f64 (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1/2 y))
(*.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 x)) y))
(/.f64 1/2 (*.f64 y (sqrt.f64 x)))
(+.f64 (.f64 1/2 (.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 x)))) (*.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (.f64 (/.f64 1/2 y) (sqrt.f64 (/.f64 1 x))) (.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(fma.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1/2 y)))
(fma.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 x)) y) (*.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(fma.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 1/2 (*.f64 y (sqrt.f64 x))))
(fma.f64 1/4 (/.f64 1 (pow.f64 x 3/2)) (/.f64 1/2 (*.f64 y (sqrt.f64 x))))
(+.f64 (.f64 -1/16 (.f64 y (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (+.f64 (.f64 1/2 (.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 x)))) (*.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))
(fma.f64 -1/16 (.f64 y (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (.f64 (/.f64 1/2 y) (sqrt.f64 (/.f64 1 x))) (*.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))
(fma.f64 -1/16 (.f64 y (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (fma.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1/2 y))))
(fma.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 x)) y) (fma.f64 y (.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))
(fma.f64 y (.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (fma.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1/2 y))))
(fma.f64 y (.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (fma.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 1/2 (.f64 y (sqrt.f64 x)))))
(fma.f64 1/4 (/.f64 1 (pow.f64 x 3/2)) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (.f64 y -1/16) (/.f64 1/2 (.f64 y (sqrt.f64 x)))))
(+.f64 (.f64 -1/16 (.f64 y (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (+.f64 (.f64 1/2 (.f64 (/.f64 1 y) (sqrt.f64 (/.f64 1 x)))) (+.f64 (.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (.f64 1/32 (*.f64 (pow.f64 y 2) (sqrt.f64 (/.f64 1 (pow.f64 x 7))))))))
(fma.f64 -1/16 (.f64 y (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (.f64 (/.f64 1/2 y) (sqrt.f64 (/.f64 1 x))) (fma.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (.f64 1/32 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (*.f64 y y))))))
(fma.f64 -1/16 (.f64 y (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (fma.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 x)) y) (fma.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (.f64 1/32 (.f64 y y))))))
(fma.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 x)) y) (fma.f64 y (.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (fma.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (.f64 1/32 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (.f64 y y))))))
(fma.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 x)) y) (fma.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (.f64 y (+.f64 (.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (.f64 y (.f64 1/32 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))))))))
(fma.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 x)) y) (fma.f64 y (fma.f64 y (.f64 1/32 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (*.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))
(fma.f64 y (fma.f64 y (.f64 1/32 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (fma.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 1/2 (*.f64 y (sqrt.f64 x)))))
(fma.f64 y (fma.f64 y (.f64 1/32 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (fma.f64 1/4 (/.f64 1 (pow.f64 x 3/2)) (/.f64 1/2 (*.f64 y (sqrt.f64 x)))))
(/.f64 1/2 x)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))
(/.f64 1/2 y)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))
(/.f64 1/2 y)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))
(/.f64 1/2 y)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))
(/.f64 1/2 x)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))
(/.f64 1/2 x)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))
(/.f64 1/2 (*.f64 y x))
(/.f64 (/.f64 1/2 y) x)
(/.f64 1/2 (*.f64 y x))
(/.f64 (/.f64 1/2 y) x)
(/.f64 1/2 (*.f64 y x))
(/.f64 (/.f64 1/2 y) x)
(/.f64 1/2 (*.f64 y x))
(/.f64 (/.f64 1/2 y) x)
(/.f64 1/2 (*.f64 y x))
(/.f64 (/.f64 1/2 y) x)
(/.f64 1/2 (*.f64 y x))
(/.f64 (/.f64 1/2 y) x)
(/.f64 1/2 (*.f64 y x))
(/.f64 (/.f64 1/2 y) x)
(/.f64 1/2 (*.f64 y x))
(/.f64 (/.f64 1/2 y) x)
(/.f64 1/2 (*.f64 y x))
(/.f64 (/.f64 1/2 y) x)
(/.f64 1/2 (*.f64 y x))
(/.f64 (/.f64 1/2 y) x)
(/.f64 1/2 (*.f64 y x))
(/.f64 (/.f64 1/2 y) x)
(/.f64 1/2 (*.f64 y x))
(/.f64 (/.f64 1/2 y) x)
(/.f64 1/2 (*.f64 y x))
(/.f64 (/.f64 1/2 y) x)
(/.f64 1/2 (*.f64 y x))
(/.f64 (/.f64 1/2 y) x)
(/.f64 1/2 (*.f64 y x))
(/.f64 (/.f64 1/2 y) x)
(/.f64 1/2 (*.f64 y x))
(/.f64 (/.f64 1/2 y) x)
(/.f64 1/2 (*.f64 y x))
(/.f64 (/.f64 1/2 y) x)
(/.f64 1/2 (*.f64 y x))
(/.f64 (/.f64 1/2 y) x)
(/.f64 1/2 (*.f64 y x))
(/.f64 (/.f64 1/2 y) x)
(/.f64 1/2 (*.f64 y x))
(/.f64 (/.f64 1/2 y) x)
(/.f64 1/2 (*.f64 y x))
(/.f64 (/.f64 1/2 y) x)
(/.f64 1/2 (*.f64 y x))
(/.f64 (/.f64 1/2 y) x)
(/.f64 1/2 (*.f64 y x))
(/.f64 (/.f64 1/2 y) x)
(/.f64 1/2 (*.f64 y x))
(/.f64 (/.f64 1/2 y) x)

localize3.0ms (0.1%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
✓	0.0b	(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))

Compiler

Compiled 18 to 12 computations (33.3% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
0.0ms	x	@	0	(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
0.0ms	y	@	inf	(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
0.0ms	x	@	inf	(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
0.0ms	y	@	-inf	(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))

rewrite54.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

903×	`prod-diff_binary64`
557×	`unpow-prod-down_binary64`
401×	`log-prod_binary64`
290×	`fma-def_binary64`
230×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	167	10
2	2523	10

Stop Event

1×	node limit

Counts

1 → 89

Calls

Call 1

Inputs
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 1/4 (*.f64 y y)) (-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (/.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (/.f64 1/2 y) (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (/.f64 1 y) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (/.f64 1 x) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (pow.f64 (+.f64 (/.f64 1 y) (/.f64 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (pow.f64 (+.f64 (/.f64 1 x) (/.f64 1 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))) 2) (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/2 y (*.f64 1/2 x)) (/.f64 1 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/2 y (*.f64 1/2 x)) (pow.f64 (/.f64 1 (*.f64 y x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/8 (pow.f64 y 3)) (pow.f64 (/.f64 1/2 x) 3)) (/.f64 1 (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (/.f64 1/2 y)) (/.f64 1/4 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/8 (pow.f64 y 3)) (pow.f64 (/.f64 1/2 x) 3)) (pow.f64 (/.f64 1 (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (/.f64 1/2 y)) (/.f64 1/4 (*.f64 y y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 1/4 (*.f64 y y)) (/.f64 1/4 (*.f64 x x))) (/.f64 1 (-.f64 (/.f64 1/2 y) (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 1/4 (*.f64 y y)) (/.f64 1/4 (*.f64 x x))) (pow.f64 (/.f64 1 (-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) 2) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))) 2)) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) 2) (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))) 2) 3) (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 y x) (fma.f64 1/2 y (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (/.f64 1/2 y)) (/.f64 1/4 (*.f64 y y))) (+.f64 (/.f64 1/8 (pow.f64 y 3)) (pow.f64 (/.f64 1/2 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) (-.f64 (/.f64 1/4 (*.f64 y y)) (/.f64 1/4 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/2 y (*.f64 1/2 x)) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1/8 (pow.f64 y 3)) (pow.f64 (/.f64 1/2 x) 3)) (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (/.f64 1/2 y)) (/.f64 1/4 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1/8 (pow.f64 y 3)) (pow.f64 (/.f64 1/2 x) 3)) (+.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (/.f64 1/4 (*.f64 y y)) (/.f64 1/4 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 1/4 (*.f64 y y)) (/.f64 1/4 (*.f64 x x))) (-.f64 (/.f64 1/2 y) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 1/2 y (*.f64 1/2 x))) (neg.f64 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (/.f64 1/8 (pow.f64 y 3)) (pow.f64 (/.f64 1/2 x) 3))) (neg.f64 (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (/.f64 1/2 y)) (/.f64 1/4 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (/.f64 1/4 (*.f64 y y)) (/.f64 1/4 (*.f64 x x)))) (neg.f64 (-.f64 (/.f64 1/2 y) (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 (*.f64 y 2) 1/2)) (*.f64 (*.f64 y 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/2 x (*.f64 (neg.f64 y) 1/2)) (*.f64 (neg.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/2 (*.f64 x 2) y) (*.f64 y (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x 2 (*.f64 (*.f64 y 2) 1)) (*.f64 (*.f64 y 2) (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/2 (*.f64 x 2) (*.f64 (neg.f64 y) 1)) (*.f64 (neg.f64 y) (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/2 (neg.f64 x) (*.f64 y -1/2)) (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1 x (*.f64 (*.f64 y 2) -1/2)) (*.f64 (*.f64 y 2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/2 (neg.f64 x) (*.f64 (neg.f64 y) -1/2)) (*.f64 (neg.f64 y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 y (*.f64 (*.f64 x 2) 1/2)) (*.f64 (*.f64 x 2) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/2 y (*.f64 (neg.f64 x) 1/2)) (*.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/2 (*.f64 y 2) x) (*.f64 x (*.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 y 2 (*.f64 (*.f64 x 2) 1)) (*.f64 (*.f64 x 2) (*.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/2 (*.f64 y 2) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (*.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/2 (neg.f64 y) (*.f64 x -1/2)) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1 y (*.f64 (*.f64 x 2) -1/2)) (*.f64 (*.f64 x 2) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/2 (neg.f64 y) (*.f64 (neg.f64 x) -1/2)) (*.f64 (neg.f64 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 1/2 y (*.f64 1/2 x)) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 (*.f64 y y))) (-.f64 (/.f64 1/2 x) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 y x) (fma.f64 1/2 y (*.f64 1/2 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (/.f64 1/2 y)) (/.f64 1/4 (*.f64 y y))) (+.f64 (/.f64 1/8 (pow.f64 y 3)) (pow.f64 (/.f64 1/2 x) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) (-.f64 (/.f64 1/4 (*.f64 y y)) (/.f64 1/4 (*.f64 x x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 y))) (exp.f64 (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 1/2 y)) (+.f64 1 (expm1.f64 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 y))) (+.f64 1 (expm1.f64 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 x))) (exp.f64 (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 1/2 x)) (+.f64 1 (expm1.f64 (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 x))) (+.f64 1 (expm1.f64 (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (/.f64 1 x) (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (/.f64 1 y) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/2 y) 1 (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/2 x) 1 (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1/2 y) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1/2 x) (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/4 (*.f64 x x))) (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1/4 (*.f64 x x))) (cbrt.f64 (/.f64 1/2 x)) (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1/2 y)) (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2) (cbrt.f64 (/.f64 1/2 y)) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1/2 x)) (sqrt.f64 (/.f64 1/2 x)) (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1/2 y)) (sqrt.f64 (/.f64 1/2 y)) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (/.f64 1 (neg.f64 y)) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (/.f64 1 (neg.f64 x)) (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) 1/2 (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 y) 1/2 (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/2 x))))))))

simplify12.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
3×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`associate-*r/_binary64`
1×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	204
1	21	204
2	28	204

Stop Event

1×

saturated

Counts

113 → 93

Calls

Call 1

Inputs
(/.f64 1/2 y)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 x)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 x)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 x)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 y)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 y)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))

Outputs
(/.f64 1/2 y)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 1/2 x)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 1/2 x)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 1/2 x)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 1/2 y)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 1/2 y)
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 y)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))

localize3.0ms (0.1%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

eval61.0ms (1.7%)

Compiler: Compiled 3750 to 1971 computations (47.4% saved)

prune51.0ms (1.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	217	1	218
Fresh	0	0	0
Picked	0	1	1
Done	1	3	4
Total	218	5	223

Error

0.0b

Counts

223 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	40.4b	(/.f64 (.f64 (-.f64 (.f64 x x) (.f64 y y)) (.f64 (/.f64 1 (*.f64 x y)) 1/2)) (-.f64 x y))
✓	16.8b	(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))
✓	32.5b	(/.f64 1/2 y)
✓	0.0b	(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
✓	31.0b	(/.f64 1/2 x)

Compiler

Compiled 51 to 35 computations (31.4% saved)

localize45.0ms (1.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	24.4b	(.f64 (-.f64 (.f64 x x) (.f64 y y)) (.f64 (/.f64 1 (*.f64 x y)) 1/2))
	14.2b	(/.f64 (.f64 (-.f64 (.f64 x x) (.f64 y y)) (.f64 (/.f64 1 (*.f64 x y)) 1/2)) (-.f64 x y))
	5.3b	(-.f64 (.f64 x x) (.f64 y y))
	0.4b	(/.f64 1 (*.f64 x y))
✓	0.4b	(/.f64 1 (*.f64 x y))
✓	5.3b	(-.f64 (.f64 x x) (.f64 y y))
✓	14.2b	(/.f64 (.f64 (-.f64 (.f64 x x) (.f64 y y)) (.f64 (/.f64 1 (*.f64 x y)) 1/2)) (-.f64 x y))
✓	24.4b	(.f64 (-.f64 (.f64 x x) (.f64 y y)) (.f64 (/.f64 1 (*.f64 x y)) 1/2))

Compiler

Compiled 71 to 26 computations (63.4% saved)

series36.0ms (1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
8.0ms	y	@	inf	(.f64 (-.f64 (.f64 x x) (.f64 y y)) (.f64 (/.f64 1 (*.f64 x y)) 1/2))
5.0ms	x	@	-inf	(/.f64 (.f64 (-.f64 (.f64 x x) (.f64 y y)) (.f64 (/.f64 1 (*.f64 x y)) 1/2)) (-.f64 x y))
2.0ms	y	@	0	(.f64 (-.f64 (.f64 x x) (.f64 y y)) (.f64 (/.f64 1 (*.f64 x y)) 1/2))
2.0ms	x	@	0	(.f64 (-.f64 (.f64 x x) (.f64 y y)) (.f64 (/.f64 1 (*.f64 x y)) 1/2))
2.0ms	x	@	inf	(.f64 (-.f64 (.f64 x x) (.f64 y y)) (.f64 (/.f64 1 (*.f64 x y)) 1/2))

rewrite210.0ms (5.8%)

Algorithm

1×	batch-egg-rewrite

Rules

825×	`log-prod_binary64`
604×	`fma-def_binary64`
268×	`expm1-udef_binary64`
268×	`log1p-udef_binary64`
247×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	61
1	318	49
2	4663	49

Stop Event

1×	node limit

Counts

4 → 334

Calls

Call 1

Inputs
(.f64 (-.f64 (.f64 x x) (.f64 y y)) (.f64 (/.f64 1 (*.f64 x y)) 1/2))
(/.f64 (.f64 (-.f64 (.f64 x x) (.f64 y y)) (.f64 (/.f64 1 (*.f64 x y)) 1/2)) (-.f64 x y))
(-.f64 (.f64 x x) (.f64 y y))
(/.f64 1 (*.f64 x y))

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 1 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 1 y) x))) (cbrt.f64 (exp.f64 (/.f64 (/.f64 1 y) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 1 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 1 y) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 1 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 1 y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (/.f64 1 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (/.f64 1 y) x)) (cbrt.f64 (pow.f64 (.f64 x y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 x y) -2)) (cbrt.f64 (/.f64 (/.f64 1 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 x y) -1/2) (pow.f64 (.f64 x y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 1 (.f64 y (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 x) (pow.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 y -1) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 x y) 2)) -1) (pow.f64 (cbrt.f64 (.f64 x y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (.f64 x y)) -1) (pow.f64 (sqrt.f64 (.f64 x y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 1 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 1 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x y) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 1 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 1 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 1 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 1 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (neg.f64 (log.f64 (*.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 1 y) x)))))))

simplify150.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

586×	`associate-/r/_binary64`
502×	`difference-of-squares_binary64`
406×	`unswap-sqr_binary64`
321×	`distribute-rgt-neg-in_binary64`
286×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	894
1	56	876
2	91	876
3	193	876
4	593	876
5	2725	876
6	4965	876

Stop Event

1×	node limit

Counts

430 → 352

Calls

Call 1

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

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

eval248.0ms (6.8%)

Compiler: Compiled 9681 to 3626 computations (62.5% saved)

prune101.0ms (2.8%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	351	1	352
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	352	5	357

Error

Counts

357 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	16.8b	(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))
▶	15.2b	(/.f64 (+.f64 (.f64 -1/2 (/.f64 y x)) (.f64 1/2 (/.f64 x y))) (-.f64 x y))
✓	32.5b	(/.f64 1/2 y)
✓	0.0b	(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
✓	31.0b	(/.f64 1/2 x)

Compiler

Compiled 47 to 33 computations (29.8% saved)

localize40.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	14.2b	(/.f64 (+.f64 (.f64 -1/2 (/.f64 y x)) (.f64 1/2 (/.f64 x y))) (-.f64 x y))
	0.0b	(+.f64 (.f64 -1/2 (/.f64 y x)) (.f64 1/2 (/.f64 x y)))
✓	0.0b	(+.f64 (.f64 -1/2 (/.f64 y x)) (.f64 1/2 (/.f64 x y)))
✓	14.2b	(/.f64 (+.f64 (.f64 -1/2 (/.f64 y x)) (.f64 1/2 (/.f64 x y))) (-.f64 x y))

Compiler

Compiled 51 to 22 computations (56.9% saved)

series13.0ms (0.4%)

Counts

2 → 30

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	(/.f64 (+.f64 (.f64 -1/2 (/.f64 y x)) (.f64 1/2 (/.f64 x y))) (-.f64 x y))
2.0ms	y	@	0	(/.f64 (+.f64 (.f64 -1/2 (/.f64 y x)) (.f64 1/2 (/.f64 x y))) (-.f64 x y))
2.0ms	x	@	0	(/.f64 (+.f64 (.f64 -1/2 (/.f64 y x)) (.f64 1/2 (/.f64 x y))) (-.f64 x y))
1.0ms	x	@	-inf	(/.f64 (+.f64 (.f64 -1/2 (/.f64 y x)) (.f64 1/2 (/.f64 x y))) (-.f64 x y))
1.0ms	y	@	inf	(/.f64 (+.f64 (.f64 -1/2 (/.f64 y x)) (.f64 1/2 (/.f64 x y))) (-.f64 x y))

rewrite117.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

725×	`log-prod_binary64`
488×	`fma-def_binary64`
251×	`expm1-udef_binary64`
251×	`log1p-udef_binary64`
247×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	34
1	279	34
2	4118	34

Stop Event

1×	node limit

Counts

2 → 108

Calls

Call 1

Inputs
(/.f64 (+.f64 (.f64 -1/2 (/.f64 y x)) (.f64 1/2 (/.f64 x y))) (-.f64 x y))
(+.f64 (.f64 -1/2 (/.f64 y x)) (.f64 1/2 (/.f64 x y)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 1/2 (/.f64 x y) (/.f64 (*.f64 -1/2 y) x)) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 1/2 (/.f64 x y) (/.f64 (*.f64 -1/2 y) x)) (-.f64 x y)))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 1/2 (/.f64 x y) (/.f64 (*.f64 -1/2 y) x)) (-.f64 x y)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 1/2 (/.f64 x y) (/.f64 (*.f64 -1/2 y) x)) (-.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 1/2 (/.f64 x y) (/.f64 (*.f64 -1/2 y) x)) (-.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 1/2 (/.f64 x y) (/.f64 (*.f64 -1/2 y) x)) (-.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 1/2 (/.f64 x y) (/.f64 (*.f64 -1/2 y) x)) (-.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/2 (/.f64 x y) (/.f64 (*.f64 -1/2 y) x)) (/.f64 1 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 1/2 (/.f64 x y) (/.f64 (*.f64 -1/2 y) x)) (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 1/2 (/.f64 x y) (/.f64 (*.f64 -1/2 y) x)) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 (/.f64 x y) (/.f64 (*.f64 -1/2 y) x)) (-.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 (/.f64 x y) (/.f64 (*.f64 -1/2 y) x)) (-.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 (/.f64 x y) (/.f64 (*.f64 -1/2 y) x)) (-.f64 x y))) 2) (cbrt.f64 (/.f64 (fma.f64 1/2 (/.f64 x y) (/.f64 (*.f64 -1/2 y) x)) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 (/.f64 x y) (/.f64 (*.f64 -1/2 y) x)) 2)) (*.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 x y) (/.f64 (*.f64 -1/2 y) x))) (/.f64 1 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 1/2 (/.f64 x 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (/.f64 x y) (/.f64 (*.f64 -1/2 y) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 (/.f64 y x) 2) 1/4) (fma.f64 -1/2 (/.f64 y x) (*.f64 -1/2 (/.f64 x y)))) (/.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 1/4) (fma.f64 -1/2 (/.f64 y x) (*.f64 -1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/2 (/.f64 x y) (/.f64 (*.f64 -1/2 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/2 (/.f64 x y) (/.f64 (*.f64 -1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 x y) (/.f64 (*.f64 -1/2 y) x))) (cbrt.f64 (pow.f64 (fma.f64 1/2 (/.f64 x y) (/.f64 (*.f64 -1/2 y) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 (/.f64 x y) (/.f64 (*.f64 -1/2 y) x)) 2)) (cbrt.f64 (fma.f64 1/2 (/.f64 x y) (/.f64 (*.f64 -1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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(2) ((x pow.f64 (sqrt.f64 (fma.f64 1/2 (/.f64 x y) (/.f64 (*.f64 -1/2 y) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 1/2 (/.f64 x y)) (-.f64 (*.f64 1/2 (/.f64 x y)) (/.f64 (*.f64 -1/2 y) x)) (*.f64 (pow.f64 (/.f64 y x) 2) 1/4)) (fma.f64 (pow.f64 (/.f64 x y) 3) 1/8 (pow.f64 (/.f64 (*.f64 -1/2 y) x) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) (*.f64 -1/2 (/.f64 x y))) (-.f64 (*.f64 (pow.f64 (/.f64 y x) 2) 1/4) (*.f64 (pow.f64 (/.f64 x y) 2) 1/4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/2 (/.f64 x y) (/.f64 (*.f64 -1/2 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/2 (/.f64 x y) (/.f64 (*.f64 -1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (/.f64 x y) (/.f64 (*.f64 -1/2 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 -1/2 y) x))) (pow.f64 (exp.f64 (/.f64 x y)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 (*.f64 -1/2 y) x)) (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 -1/2 y) x))) (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 x y)))) (exp.f64 (/.f64 (*.f64 -1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 (/.f64 x y)) 1/2) (+.f64 1 (expm1.f64 (/.f64 (*.f64 -1/2 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 x y)))) (+.f64 1 (expm1.f64 (/.f64 (*.f64 -1/2 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/2 (/.f64 x y) (/.f64 (*.f64 -1/2 y) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/2 (/.f64 x y) (/.f64 (*.f64 -1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/2 (/.f64 x y) (/.f64 (*.f64 -1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/2 (/.f64 x y) (/.f64 (*.f64 -1/2 y) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (/.f64 y x) (*.f64 1/2 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (*.f64 (/.f64 1 x) -1/2) (*.f64 1/2 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 (/.f64 1 y) 1/2) (/.f64 (*.f64 -1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 y x) -1/2 (*.f64 1/2 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 -1/2 y) x) 1 (*.f64 1/2 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (/.f64 x y) (/.f64 (*.f64 -1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x y) 1/2 (/.f64 (*.f64 -1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (/.f64 x y)) 1 (/.f64 (*.f64 -1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (*.f64 -1/2 y) x) (*.f64 1/2 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/2 (/.f64 x y)) (/.f64 (*.f64 -1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (*.f64 (cbrt.f64 (/.f64 x y)) 1/2) (/.f64 (*.f64 -1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) (*.f64 (cbrt.f64 (/.f64 y x)) -1/2) (*.f64 1/2 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) (cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 1/4)) (/.f64 (*.f64 -1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 1/4)) (cbrt.f64 (*.f64 1/2 (/.f64 x y))) (/.f64 (*.f64 -1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (*.f64 -1/2 y) x)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 -1/2 y) x)) 2) (*.f64 1/2 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 -1/2 y) x)) 2) (cbrt.f64 (/.f64 (*.f64 -1/2 y) x)) (*.f64 1/2 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 (/.f64 x y)) 1/2) (/.f64 (*.f64 -1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 y x)) (*.f64 (sqrt.f64 (/.f64 y x)) -1/2) (*.f64 1/2 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) (sqrt.f64 (*.f64 1/2 (/.f64 x y))) (/.f64 (*.f64 -1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (*.f64 -1/2 y) x)) (sqrt.f64 (/.f64 (*.f64 -1/2 y) x)) (*.f64 1/2 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 1/2) (/.f64 1 y) (/.f64 (*.f64 -1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 y) (/.f64 1 x) (*.f64 1/2 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)) (/.f64 (*.f64 -1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/2 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)) (/.f64 (*.f64 -1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1/2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x)) (*.f64 1/2 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1/2 (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)) (*.f64 1/2 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (/.f64 x y)) (/.f64 (*.f64 -1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)) (/.f64 (*.f64 -1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (/.f64 y x)) (*.f64 1/2 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 y x)) (*.f64 1/2 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/2 (/.f64 x y) (/.f64 (*.f64 -1/2 y) x))))))))

simplify57.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

50×	`associate-/l*_binary64`
43×	`times-frac_binary64`
35×	`associate-/l/_binary64`
29×	`associate-/r*_binary64`
27×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	246
1	32	246
2	45	246
3	52	246
4	57	246
5	65	246
6	72	246
7	114	246
8	129	246
9	141	246
10	159	246
11	199	246
12	276	246
13	346	246
14	366	246

Stop Event

1×

saturated

Counts

138 → 115

Calls

Call 1

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

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

eval76.0ms (2.1%)

Compiler: Compiled 2508 to 1309 computations (47.8% saved)

prune17.0ms (0.5%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	115	5	120

Error

Counts

120 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	16.8b	(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))
✓	15.2b	(/.f64 (+.f64 (.f64 -1/2 (/.f64 y x)) (.f64 1/2 (/.f64 x y))) (-.f64 x y))
✓	32.5b	(/.f64 1/2 y)
✓	0.0b	(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
✓	31.0b	(/.f64 1/2 x)

Compiler

Compiled 47 to 33 computations (29.8% saved)

regimes25.0ms (0.7%)

Counts

7 → 1

Calls

Call 1

Inputs
(/.f64 1/2 y)
(/.f64 1/2 x)
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))
(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))
(/.f64 (+.f64 (.f64 -1/2 (/.f64 y x)) (.f64 1/2 (/.f64 x y))) (-.f64 x y))
(/.f64 (.f64 (-.f64 (.f64 x x) (.f64 y y)) (.f64 (/.f64 1 (*.f64 x y)) 1/2)) (-.f64 x y))
(.f64 (sqrt.f64 (+.f64 x y)) (.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (.f64 x (.f64 y 2)))))

Outputs
(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))

Calls

3 calls:

13.0ms	x
5.0ms	y
4.0ms	(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`(/.f64 (+.f64 x y) (.f64 (.f64 x 2) y))`

Compiler

Compiled 92 to 54 computations (41.3% saved)

regimes22.0ms (0.6%)

Accuracy

Total -53.6b remaining (-668.4%)

Threshold costs -53.6b (-668.4%)

Counts

2 → 2

Calls

Call 1

Inputs
(/.f64 1/2 y)
(/.f64 1/2 x)

Outputs
(/.f64 1/2 y)
(/.f64 1/2 x)

Calls

2 calls:

11.0ms	x
9.0ms	y

Results

Error	Segments	Branch
10.8b	4	`x`
8.0b	2	`y`

Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch18.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
18.0ms	5.767042768465121e-102	1.5985428506743649e-96

Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	28
1	12	28

Stop Event

1×

saturated

Calls

Call 1

Inputs

(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))

(if (<=.f64 y 7271457756733909/1260864198284623334792929283204595641762551656654894293374345388935863096687910739565256520156317300505812095689818112) (/.f64 1/2 y) (/.f64 1/2 x))

(/.f64 1/2 y)

Outputs

(+.f64 (/.f64 1/2 y) (/.f64 1/2 x))

(if (<=.f64 y 7271457756733909/1260864198284623334792929283204595641762551656654894293374345388935863096687910739565256520156317300505812095689818112) (/.f64 1/2 y) (/.f64 1/2 x))

(/.f64 1/2 y)

end27.0ms (0.7%)

Stop Event

1×

done

Remove

(sort x y)

Compiler

Compiled 66 to 50 computations (24.2% saved)

Iter	Nodes	Cost
0	17	246
1	32	246
2	45	246
3	52	246
4	57	246
5	65	246
6	72	246
7	114	246
8	129	246
9	141	246
10	159	246
11	199	246
12	276	246
13	346	246
14	366	246

Iter	Nodes	Cost
0	17	246
1	32	246
2	45	246
3	52	246
4	57	246
5	65	246
6	72	246
7	114	246
8	129	246
9	141	246
10	159	246
11	199	246
12	276	246
13	346	246
14	366	246

Details

analyze235.0ms (6.4%)

sample1.6s (44.4%)

preprocess32.0ms (0.9%)

simplify13.0ms (0.4%)

eval1.0ms (0%)

prune2.0ms (0%)

localize19.0ms (0.5%)

series11.0ms (0.3%)

rewrite78.0ms (2.1%)

simplify19.0ms (0.5%)

eval24.0ms (0.7%)

prune10.0ms (0.3%)

localize19.0ms (0.5%)

series13.0ms (0.4%)

rewrite73.0ms (2%)

simplify77.0ms (2.1%)

localize3.0ms (0.1%)

localize8.0ms (0.2%)

series3.0ms (0.1%)

rewrite54.0ms (1.5%)

simplify12.0ms (0.3%)

localize3.0ms (0.1%)

eval61.0ms (1.7%)

prune51.0ms (1.4%)

localize45.0ms (1.2%)

series36.0ms (1%)

rewrite210.0ms (5.8%)

simplify150.0ms (4.1%)

eval248.0ms (6.8%)

prune101.0ms (2.8%)

localize40.0ms (1.1%)

series13.0ms (0.4%)

rewrite117.0ms (3.2%)

simplify57.0ms (1.6%)

eval76.0ms (2.1%)

prune17.0ms (0.5%)

regimes25.0ms (0.7%)

regimes22.0ms (0.6%)

bsearch18.0ms (0.5%)

simplify2.0ms (0.1%)

end27.0ms (0.7%)

Profiling

Iter	Nodes	Cost
0	17	246
1	32	246
2	45	246
3	52	246
4	57	246
5	65	246
6	72	246
7	114	246
8	129	246
9	141	246
10	159	246
11	199	246
12	276	246
13	346	246
14	366	246