Details

analyze71.0ms (1.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
25%	25%	74.9%	0.1%	0%	0%	0%	6
43.8%	43.7%	56.2%	0.1%	0%	0%	0%	7
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	8
70.3%	70.2%	29.7%	0.1%	0%	0%	0%	9
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	10
84.8%	84.7%	15.2%	0.1%	0%	0%	0%	11
87.9%	87.8%	12.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample1.0s (18.3%)

Results

992.0ms

8256×

body

256

valid

Bogosity

preprocess101.0ms (1.8%)

Algorithm

2×	egg-herbie

Rules

968×	`fma-neg_binary64`
785×	`div-sub_binary64`
502×	`times-frac_binary64`
309×	`cancel-sign-sub-inv_binary64`
301×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	27	26
2	71	26
3	168	26
4	320	26
5	724	26
6	1561	22
7	4112	22
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify79.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

546×	`times-frac_binary64`
408×	`fma-def_binary64`
350×	`neg-sub0_binary64`
339×	`neg-mul-1_binary64`
317×	`distribute-lft-neg-out_binary64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	16	13
2	41	13
3	87	13
4	180	13
5	355	13
6	651	11
7	1409	11
8	5586	11
9	7294	11

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 19 to 12 computations (36.8% saved)

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.0b	(/.f64 (.f64 (.f64 x 2) y) (-.f64 x y))
▶	7.8b	(/.f64 x (fma.f64 1/2 (/.f64 x y) -1/2))

Compiler

Compiled 21 to 14 computations (33.3% saved)

localize20.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 1/2 (/.f64 x y) -1/2)
✓	7.8b	(/.f64 x (fma.f64 1/2 (/.f64 x y) -1/2))

Compiler

Compiled 23 to 12 computations (47.8% saved)

series13.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite119.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

871×	`pow1_binary64`
809×	`add-log-exp_binary64`
809×	`log1p-expm1-u_binary64`
809×	`expm1-log1p-u_binary64`
793×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	171	19
2	2161	19

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

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

Outputs

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

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

simplify115.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

821×	`fma-def_binary64`
574×	`associate-/r*_binary64`
507×	`distribute-lft-out_binary64`
500×	`associate-r_binary64`
493×	`associate-*l/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	39	660
1	116	648
2	343	606
3	1312	570
4	6857	528
5	7798	528

Stop Event

1×	node limit

Counts

100 → 71

Calls

Call 1

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

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

localize14.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	13.6b	(/.f64 (.f64 (.f64 x 2) y) (-.f64 x y))

Compiler

Compiled 25 to 13 computations (48% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite64.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

525×	`log-prod_binary64`
386×	`prod-diff_binary64`
385×	`exp-prod_binary64`
322×	`pow-prod-down_binary64`
246×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	181	13
2	2674	13

Stop Event

1×	node limit

Counts

1 → 63

Calls

Call 1

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

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

Outputs

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

simplify182.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

821×	`fma-def_binary64`
567×	`associate-/r*_binary64`
507×	`distribute-lft-out_binary64`
490×	`associate-r_binary64`
488×	`associate-*l/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	34	492
1	105	480
2	329	438
3	1285	402
4	6800	360
5	7736	360

Stop Event

1×	node limit

Counts

87 → 77

Calls

Call 1

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

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

eval60.0ms (1.1%)

Compiler: Compiled 2131 to 1095 computations (48.6% saved)

prune26.0ms (0.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	141	7	148
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	143	7	150

Error

Counts

150 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	39.4b	(/.f64 x (*.f64 x (/.f64 1/2 y)))
	31.9b	(*.f64 -2 (fma.f64 (/.f64 x y) x x))
▶	31.3b	(/.f64 x -1/2)
▶	7.7b	(.f64 (+.f64 x x) (.f64 y (/.f64 1 (-.f64 x y))))
▶	31.5b	(*.f64 2 y)
	7.8b	(/.f64 x (-.f64 (*.f64 1/2 (/.f64 x y)) 1/2))
▶	7.8b	(*.f64 (/.f64 (+.f64 x x) (-.f64 x y)) y)

Compiler

Compiled 128 to 84 computations (34.4% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (-.f64 x y))
✓	0.1b	(*.f64 y (/.f64 1 (-.f64 x y)))
✓	7.6b	(.f64 (+.f64 x x) (.f64 y (/.f64 1 (-.f64 x y))))

Compiler

Compiled 34 to 14 computations (58.8% saved)

series28.0ms (0.5%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
20.0ms	y	@	inf	(.f64 (+.f64 x x) (.f64 y (/.f64 1 (-.f64 x y))))
1.0ms	x	@	inf	(/.f64 1 (-.f64 x y))
0.0ms	y	@	0	(*.f64 y (/.f64 1 (-.f64 x y)))
0.0ms	x	@	0	(/.f64 1 (-.f64 x y))
0.0ms	x	@	0	(.f64 (+.f64 x x) (.f64 y (/.f64 1 (-.f64 x y))))

rewrite77.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

568×	`prod-diff_binary64`
490×	`log-prod_binary64`
327×	`pow-prod-down_binary64`
245×	`pow2_binary64`
241×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	201	27
2	2967	18

Stop Event

1×	node limit

Counts

3 → 144

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 0 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 0 0)) (*.f64 x (/.f64 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 y (-.f64 x y))) (*.f64 x (/.f64 y (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 0 0) x) (*.f64 (/.f64 0 0) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 y (-.f64 x y)) x) (*.f64 (/.f64 y (-.f64 x y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 0 0))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 0 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 0 0)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 0 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 0 0))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) 0) (/.f64 (*.f64 x x) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 0 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x 0) (*.f64 2 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 x 3)) (fma.f64 x x 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 0 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 0 0) y) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 2 (pow.f64 x 3)) 2) (pow.f64 (fma.f64 x x 0) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (pow.f64 x 3))) (neg.f64 (fma.f64 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 0 (*.f64 2 (pow.f64 x 3))) (*.f64 0 (fma.f64 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) 0) (*.f64 (fma.f64 x x 0) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) y) (*.f64 (fma.f64 x x 0) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (*.f64 2 (pow.f64 x 3))) (*.f64 (-.f64 x y) (fma.f64 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 0) (*.f64 (-.f64 x y) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (/.f64 0 0)) (fma.f64 x x 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 0 (/.f64 0 0)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 0 y) (*.f64 0 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (/.f64 y (-.f64 x y))) (fma.f64 x x 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 0 (/.f64 y (-.f64 x y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 0 0) (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 y (-.f64 x y)) (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 y (-.f64 x y)) 0) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (/.f64 0 0) y) 1) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (/.f64 0 0) y) -1) (neg.f64 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 0) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 0) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 0) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 0) 9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 0) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 0) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 0) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 0) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 0) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 0) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 0) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 0) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 0) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 0) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 0) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 0) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 0) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 0) 5/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 0) 5)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 0) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 0) 10/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 0) 7/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 0) 7/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 0) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x x 0) (*.f64 2 (pow.f64 x 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 0 0))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 0 0))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 0 0))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 0 0))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 0 0)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 0 0) (*.f64 x (/.f64 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 y (-.f64 x y)) (*.f64 x (/.f64 y (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 0 0) x (*.f64 (/.f64 0 0) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 y (-.f64 x y)) x (*.f64 (/.f64 y (-.f64 x y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)))))

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

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

simplify206.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

684×	`associate-/l/_binary64`
632×	`unsub-neg_binary64`
448×	`cancel-sign-sub-inv_binary64`
361×	`fma-def_binary64`
314×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	79	1455
1	229	1416
2	750	1242
3	2986	1197
4	7252	1197

Stop Event

1×	node limit

Counts

216 → 186

Calls

Call 1

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

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

localize3.0ms (0.1%)

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

localize3.0ms (0.1%)

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

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 x (/.f64 1/2 y))
✓	15.5b	(/.f64 x (*.f64 x (/.f64 1/2 y)))

Compiler

Compiled 20 to 12 computations (40% saved)

series144.0ms (2.6%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
139.0ms	y	@	-inf	(*.f64 x (/.f64 1/2 y))
1.0ms	x	@	0	(/.f64 x (*.f64 x (/.f64 1/2 y)))
1.0ms	x	@	inf	(*.f64 x (/.f64 1/2 y))
0.0ms	x	@	-inf	(*.f64 x (/.f64 1/2 y))
0.0ms	y	@	-inf	(/.f64 x (*.f64 x (/.f64 1/2 y)))

rewrite98.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	156	11
2	2172	11

Stop Event

1×	node limit

Counts

2 → 62

Calls

Call 1

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

Outputs

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

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

simplify20.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	264
1	12	264
2	16	264
3	20	264
4	21	264

Stop Event

1×

saturated

Counts

110 → 63

Calls

Call 1

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

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

localize42.0ms (0.8%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 x x) (-.f64 x y))
✓	7.8b	(*.f64 (/.f64 (+.f64 x x) (-.f64 x y)) y)

Compiler

Compiled 26 to 6 computations (76.9% saved)

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite67.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

972×	`pow1_binary64`
910×	`add-log-exp_binary64`
909×	`log1p-expm1-u_binary64`
909×	`expm1-log1p-u_binary64`
90×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	23
1	165	23
2	2748	23

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

Outputs

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

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

simplify185.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1112×	`associate-/r/_binary64`
699×	`associate-/l/_binary64`
450×	`associate-+l+_binary64`
369×	`distribute-lft-out_binary64`
359×	`fma-def_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	59	1005
1	179	969
2	594	849
3	2320	819
4	4345	747
5	4946	738
6	5548	738
7	6230	738
8	6433	738

Stop Event

1×	node limit

Counts

105 → 85

Calls

Call 1

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

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

eval478.0ms (8.6%)

Compiler: Compiled 4091 to 2190 computations (46.5% saved)

prune73.0ms (1.3%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	332	2	334
Fresh	2	0	2
Picked	0	1	1
Done	0	4	4
Total	334	7	341

Error

Counts

341 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	31.3b	(/.f64 x -1/2)
✓	7.7b	(.f64 (+.f64 x x) (.f64 y (/.f64 1 (-.f64 x y))))
▶	31.9b	(.f64 -2 (+.f64 x (.f64 x (/.f64 x y))))
✓	39.4b	(/.f64 x (*.f64 x (/.f64 1/2 y)))
✓	31.5b	(*.f64 2 y)
✓	7.8b	(*.f64 (/.f64 (+.f64 x x) (-.f64 x y)) y)
▶	7.8b	(/.f64 (+.f64 x x) (/.f64 (-.f64 x y) y))

Compiler

Compiled 65 to 41 computations (36.9% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 29 to 8 computations (72.4% saved)

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite170.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

822×	`pow1_binary64`
766×	`add-log-exp_binary64`
766×	`log1p-expm1-u_binary64`
766×	`expm1-log1p-u_binary64`
749×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	136	15
2	2056	15

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

Outputs

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

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

simplify117.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1365×	`fma-def_binary64`
434×	`unswap-sqr_binary64`
423×	`associate-*r/_binary64`
392×	`associate-/r*_binary64`
390×	`associate-/r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	8	372
1	13	372
2	22	372
3	40	336
4	89	336
5	302	336
6	1254	336
7	4113	336
8	5659	336
9	6282	336
10	6531	336
11	6932	336
12	7417	336
13	7996	336

Stop Event

1×	node limit

Counts

106 → 63

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 x y) y)
✓	7.8b	(/.f64 (+.f64 x x) (/.f64 (-.f64 x y) y))

Compiler

Compiled 24 to 6 computations (75% saved)

series6.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/.f64 (+.f64 x x) (/.f64 (-.f64 x y) y))
1.0ms	y	@	-inf	(/.f64 (-.f64 x y) y)
1.0ms	x	@	-inf	(/.f64 (-.f64 x y) y)
0.0ms	y	@	inf	(/.f64 (-.f64 x y) y)
0.0ms	x	@	0	(/.f64 (+.f64 x x) (/.f64 (-.f64 x y) y))

rewrite75.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

682×	`prod-diff_binary64`
481×	`log-prod_binary64`
282×	`pow-prod-down_binary64`
236×	`fma-def_binary64`
228×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	173	20
2	3121	20

Stop Event

1×	node limit

Counts

2 → 107

Calls

Call 1

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

Outputs

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

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

simplify121.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

821×	`fma-def_binary64`
567×	`associate-/r*_binary64`
507×	`distribute-lft-out_binary64`
491×	`associate-r_binary64`
488×	`associate-*l/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	38	633
1	112	621
2	334	579
3	1290	543
4	6784	501
5	7727	501

Stop Event

1×	node limit

Counts

155 → 123

Calls

Call 1

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

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

eval178.0ms (3.2%)

Compiler: Compiled 2602 to 1062 computations (59.2% saved)

prune98.0ms (1.8%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	186	0	186
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	186	7	193

Error

Counts

193 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	31.3b	(/.f64 x -1/2)
✓	7.7b	(.f64 (+.f64 x x) (.f64 y (/.f64 1 (-.f64 x y))))
✓	31.9b	(.f64 -2 (+.f64 x (.f64 x (/.f64 x y))))
✓	39.4b	(/.f64 x (*.f64 x (/.f64 1/2 y)))
✓	31.5b	(*.f64 2 y)
✓	7.8b	(*.f64 (/.f64 (+.f64 x x) (-.f64 x y)) y)
✓	7.8b	(/.f64 (+.f64 x x) (/.f64 (-.f64 x y) y))

Compiler

Compiled 65 to 41 computations (36.9% saved)

regimes122.0ms (2.2%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

3 calls:

59.0ms	y
32.0ms	x
27.0ms	(/.f64 (.f64 (.f64 x 2) y) (-.f64 x y))

Results

Error	Segments	Branch
0.0b	3	`x`
0.0b	3	`y`
0.3b	5	`(/.f64 (.f64 (.f64 x 2) y) (-.f64 x y))`

Compiler

Compiled 104 to 52 computations (50% saved)

bsearch92.0ms (1.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
35.0ms	2.359056827737975e-38	1.3505596119271116e-17
56.0ms	-21025673474.39561	-359078.6585040461

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes72.0ms (1.3%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

2 calls:

37.0ms	y
32.0ms	x

Results

Error	Segments	Branch
3.4b	3	`x`
2.9b	3	`y`

Compiler

Compiled 48 to 28 computations (41.7% saved)

bsearch62.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	2.048255675901521e-80	8.303024137921498e-76
41.0ms	-3.844228748840974e-232	-4.3123607714828565e-238

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes29.0ms (0.5%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

2 calls:

15.0ms	y
12.0ms	x

Results

Error	Segments	Branch
3.4b	3	`x`
2.9b	3	`y`

Compiler

Compiled 39 to 23 computations (41% saved)

bsearch202.0ms (3.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
161.0ms	2.048255675901521e-80	8.303024137921498e-76
41.0ms	-3.844228748840974e-232	-4.3123607714828565e-238

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes36.0ms (0.6%)

Counts

4 → 5

Calls

Call 1

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

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

Calls

2 calls:

22.0ms	y
12.0ms	x

Results

Error	Segments	Branch
13.4b	3	`x`
13.3b	5	`y`

Compiler

Compiled 30 to 19 computations (36.7% saved)

bsearch239.0ms (4.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
19.0ms	0.0024052127302475993	0.09856972644641661
170.0ms	4.498192215726338e-40	9.197780043497432e-38
18.0ms	6.428657201951684e-53	8.011307814231206e-53
32.0ms	-11693451672896.02	-1834423.819292844

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes59.0ms (1.1%)

Accuracy

Total -48.7b remaining (-365.8%)

Threshold costs -48.7b (-365.8%)

Counts

3 → 5

Calls

Call 1

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

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

Calls

2 calls:

45.0ms	y
13.0ms	x

Results

Error	Segments	Branch
13.4b	3	`x`
13.3b	5	`y`

Compiler

Compiled 21 to 14 computations (33.3% saved)

bsearch200.0ms (3.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
17.0ms	0.0024052127302475993	0.09856972644641661
18.0ms	4.498192215726338e-40	9.197780043497432e-38
147.0ms	4.1597244160640194e-72	7.846778663002409e-56
17.0ms	-11693451672896.02	-1834423.819292844

Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify118.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	245
1	64	245
2	70	245
3	72	245
4	73	245

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x -5511754147271963/262144) (.f64 (/.f64 (+.f64 x x) (-.f64 x y)) y) (if (<=.f64 x 4519055086447095/191561942608236107294793378393788647952342390272950272) (/.f64 (+.f64 x x) (/.f64 (-.f64 x y) y)) (.f64 (/.f64 (+.f64 x x) (-.f64 x y)) y)))
(if (<=.f64 y -335981743709399/873989987746428259412194333913416701987357762822590714399458303903535888835232670878457161432636363996257309241302481691723537010408733419813385804491106555801784494262060916206872597091033287849274902594962928694944169726768114734355431735427072) (/.f64 (+.f64 x x) (/.f64 (-.f64 x y) y)) (if (<=.f64 y 2734404731235669/133499189745056880149688856635597007162669032647290798121690100488888732861290034376435130433536) (.f64 2 y) (/.f64 x (-.f64 (.f64 1/2 (/.f64 x y)) 1/2))))
(if (<=.f64 y -335981743709399/873989987746428259412194333913416701987357762822590714399458303903535888835232670878457161432636363996257309241302481691723537010408733419813385804491106555801784494262060916206872597091033287849274902594962928694944169726768114734355431735427072) (/.f64 (+.f64 x x) (/.f64 (-.f64 x y) y)) (if (<=.f64 y 2734404731235669/133499189745056880149688856635597007162669032647290798121690100488888732861290034376435130433536) (*.f64 2 y) (/.f64 (+.f64 x x) (/.f64 (-.f64 x y) y))))
(if (<=.f64 y -2993523628261381/256) (.f64 -2 (+.f64 x (.f64 x (/.f64 x y)))) (if (<=.f64 y 3466325106120225/53919893334301279589334030174039261347274288845081144962207220498432) (.f64 2 y) (if (<=.f64 y 1378691902511653/3064991081731777716716694054300618367237478244367204352) (.f64 -2 (+.f64 x (.f64 x (/.f64 x y)))) (if (<=.f64 y 5546042959713209/2305843009213693952) (.f64 2 y) (/.f64 x -1/2)))))
(if (<=.f64 y -2993523628261381/256) (/.f64 x -1/2) (if (<=.f64 y 258590951146221/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632) (.f64 2 y) (if (<=.f64 y 1378691902511653/3064991081731777716716694054300618367237478244367204352) (/.f64 x -1/2) (if (<=.f64 y 5546042959713209/2305843009213693952) (.f64 2 y) (/.f64 x -1/2)))))
(/.f64 x -1/2)

Outputs
(if (<=.f64 x -5511754147271963/262144) (.f64 (/.f64 (+.f64 x x) (-.f64 x y)) y) (if (<=.f64 x 4519055086447095/191561942608236107294793378393788647952342390272950272) (/.f64 (+.f64 x x) (/.f64 (-.f64 x y) y)) (.f64 (/.f64 (+.f64 x x) (-.f64 x y)) y)))
(if (<=.f64 x -5511754147271963/262144) (.f64 y (/.f64 (+.f64 x x) (-.f64 x y))) (if (<=.f64 x 4519055086447095/191561942608236107294793378393788647952342390272950272) (/.f64 (+.f64 x x) (/.f64 (-.f64 x y) y)) (.f64 y (/.f64 (+.f64 x x) (-.f64 x y)))))
(if (<=.f64 y -335981743709399/873989987746428259412194333913416701987357762822590714399458303903535888835232670878457161432636363996257309241302481691723537010408733419813385804491106555801784494262060916206872597091033287849274902594962928694944169726768114734355431735427072) (/.f64 (+.f64 x x) (/.f64 (-.f64 x y) y)) (if (<=.f64 y 2734404731235669/133499189745056880149688856635597007162669032647290798121690100488888732861290034376435130433536) (.f64 2 y) (/.f64 x (-.f64 (.f64 1/2 (/.f64 x y)) 1/2))))
(if (<=.f64 y -335981743709399/873989987746428259412194333913416701987357762822590714399458303903535888835232670878457161432636363996257309241302481691723537010408733419813385804491106555801784494262060916206872597091033287849274902594962928694944169726768114734355431735427072) (/.f64 (+.f64 x x) (/.f64 (-.f64 x y) y)) (if (<=.f64 y 2734404731235669/133499189745056880149688856635597007162669032647290798121690100488888732861290034376435130433536) (.f64 y 2) (/.f64 x (+.f64 (.f64 1/2 (/.f64 x y)) -1/2))))
(if (<=.f64 y -335981743709399/873989987746428259412194333913416701987357762822590714399458303903535888835232670878457161432636363996257309241302481691723537010408733419813385804491106555801784494262060916206872597091033287849274902594962928694944169726768114734355431735427072) (/.f64 (+.f64 x x) (/.f64 (-.f64 x y) y)) (if (<=.f64 y 2734404731235669/133499189745056880149688856635597007162669032647290798121690100488888732861290034376435130433536) (*.f64 2 y) (/.f64 (+.f64 x x) (/.f64 (-.f64 x y) y))))
(if (<=.f64 y -335981743709399/873989987746428259412194333913416701987357762822590714399458303903535888835232670878457161432636363996257309241302481691723537010408733419813385804491106555801784494262060916206872597091033287849274902594962928694944169726768114734355431735427072) (/.f64 (+.f64 x x) (/.f64 (-.f64 x y) y)) (if (<=.f64 y 2734404731235669/133499189745056880149688856635597007162669032647290798121690100488888732861290034376435130433536) (*.f64 y 2) (/.f64 (+.f64 x x) (/.f64 (-.f64 x y) y))))
(if (<=.f64 y -2993523628261381/256) (.f64 -2 (+.f64 x (.f64 x (/.f64 x y)))) (if (<=.f64 y 3466325106120225/53919893334301279589334030174039261347274288845081144962207220498432) (.f64 2 y) (if (<=.f64 y 1378691902511653/3064991081731777716716694054300618367237478244367204352) (.f64 -2 (+.f64 x (.f64 x (/.f64 x y)))) (if (<=.f64 y 5546042959713209/2305843009213693952) (.f64 2 y) (/.f64 x -1/2)))))
(if (<=.f64 y -2993523628261381/256) (.f64 -2 (+.f64 x (.f64 x (/.f64 x y)))) (if (<=.f64 y 3466325106120225/53919893334301279589334030174039261347274288845081144962207220498432) (.f64 y 2) (if (<=.f64 y 1378691902511653/3064991081731777716716694054300618367237478244367204352) (.f64 -2 (+.f64 x (.f64 x (/.f64 x y)))) (if (<=.f64 y 5546042959713209/2305843009213693952) (.f64 y 2) (/.f64 x -1/2)))))
(if (<=.f64 y -2993523628261381/256) (/.f64 x -1/2) (if (<=.f64 y 258590951146221/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632) (.f64 2 y) (if (<=.f64 y 1378691902511653/3064991081731777716716694054300618367237478244367204352) (/.f64 x -1/2) (if (<=.f64 y 5546042959713209/2305843009213693952) (.f64 2 y) (/.f64 x -1/2)))))
(if (<=.f64 y -2993523628261381/256) (/.f64 x -1/2) (if (<=.f64 y 258590951146221/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632) (.f64 y 2) (if (<=.f64 y 1378691902511653/3064991081731777716716694054300618367237478244367204352) (/.f64 x -1/2) (if (<=.f64 y 5546042959713209/2305843009213693952) (.f64 y 2) (/.f64 x -1/2)))))
(/.f64 x -1/2)

Compiler

Compiled 182 to 103 computations (43.4% saved)

soundness0.0ms (0%)

end187.0ms (3.4%)

Compiler: Compiled 172 to 84 computations (51.2% saved)

Details

analyze71.0ms (1.3%)

sample1.0s (18.3%)

preprocess101.0ms (1.8%)

simplify79.0ms (1.4%)

eval1.0ms (0%)

prune3.0ms (0%)

localize20.0ms (0.4%)

series13.0ms (0.2%)

rewrite119.0ms (2.1%)

simplify115.0ms (2.1%)

localize14.0ms (0.3%)

series3.0ms (0.1%)

rewrite64.0ms (1.2%)

simplify182.0ms (3.3%)

eval60.0ms (1.1%)

prune26.0ms (0.5%)

localize12.0ms (0.2%)

series28.0ms (0.5%)

rewrite77.0ms (1.4%)

simplify206.0ms (3.7%)

localize3.0ms (0.1%)

localize3.0ms (0.1%)

localize9.0ms (0.2%)

series144.0ms (2.6%)

rewrite98.0ms (1.8%)

simplify20.0ms (0.4%)

localize42.0ms (0.8%)

series5.0ms (0.1%)

rewrite67.0ms (1.2%)

simplify185.0ms (3.3%)

eval478.0ms (8.6%)

prune73.0ms (1.3%)

localize9.0ms (0.2%)

series5.0ms (0.1%)

rewrite170.0ms (3.1%)

simplify117.0ms (2.1%)

localize8.0ms (0.1%)

series6.0ms (0.1%)

rewrite75.0ms (1.3%)

simplify121.0ms (2.2%)

eval178.0ms (3.2%)

prune98.0ms (1.8%)

regimes122.0ms (2.2%)

bsearch92.0ms (1.7%)

regimes72.0ms (1.3%)

bsearch62.0ms (1.1%)

regimes29.0ms (0.5%)

bsearch202.0ms (3.6%)

regimes36.0ms (0.6%)

bsearch239.0ms (4.3%)

regimes59.0ms (1.1%)

bsearch200.0ms (3.6%)

simplify118.0ms (2.1%)

soundness0.0ms (0%)

end187.0ms (3.4%)

Profiling