Details

analyze55.0ms (2.8%)

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
25%	25%	74.9%	0.1%	0%	0%	0%	5
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	6
50.8%	50%	48.4%	0.1%	1.6%	0%	0%	7
60.8%	59.3%	38.2%	0.1%	2.3%	0%	0%	8
70.8%	67.1%	27.7%	0.1%	5.1%	0%	0%	9
77.3%	72.6%	21.3%	0.1%	6%	0%	0%	10
83.9%	76.9%	14.7%	0.1%	8.3%	0%	0%	11
87.7%	79.8%	11.2%	0.1%	8.9%	0%	0%	12

Compiler

Compiled 10 to 6 computations (40% saved)

sample698.0ms (35.7%)

Results

660.0ms	8252×	body	256	valid
26.0ms	332×	body	256	infinite
1.0ms	3×	body	1024	valid
0.0ms	1×	body	512	valid

Bogosity

preprocess278.0ms (14.2%)

Algorithm

2×	egg-herbie

Rules

247×	`fma-neg_binary64`
169×	`fma-def_binary64`
59×	`cancel-sign-sub-inv_binary64`
37×	`sub-neg_binary64`
34×	`associate--r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	27	20
2	46	20
3	82	18
4	152	16
5	284	16
6	534	16
7	790	16
8	932	16
9	952	16
10	953	16
0	2	2
1	2	2

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1
0

Call 2

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

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

Symmetry

(sort x y)

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify24.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

249×	`fma-neg_binary64`
179×	`fma-def_binary64`
55×	`cancel-sign-sub-inv_binary64`
39×	`sub-neg_binary64`
37×	`associate--r+_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	15	10
2	35	10
3	69	9
4	136	8
5	265	8
6	509	8
7	777	8
8	952	8
9	981	8
10	982	8

Stop Event

1×

saturated

Counts

1 → 5

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 36 to 16 computations (55.6% saved)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	3	2	5
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	3	3	6

Error

Counts

6 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(fma.f64 x (-.f64 1 y) y)
▶	0.0b	(-.f64 (+.f64 x y) (*.f64 x y))

Compiler

Compiled 17 to 10 computations (41.2% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 5 computations (70.6% saved)

series9.0ms (0.5%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	x	@	0	(-.f64 (+.f64 x y) (*.f64 x y))
1.0ms	x	@	-inf	(-.f64 (+.f64 x y) (*.f64 x y))
1.0ms	x	@	inf	(-.f64 (+.f64 x y) (*.f64 x y))
1.0ms	y	@	-inf	(-.f64 (+.f64 x y) (*.f64 x y))
0.0ms	y	@	inf	(-.f64 (+.f64 x y) (*.f64 x y))

rewrite81.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

917×	`pow1_binary64`
857×	`add-log-exp_binary64`
857×	`log1p-expm1-u_binary64`
857×	`expm1-log1p-u_binary64`
840×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	144	10
2	2331	10

Stop Event

1×	node limit

Counts

1 → 47

Calls

Call 1

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

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

Outputs

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

simplify56.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

505×	`distribute-rgt-in_binary64`
435×	`distribute-lft-in_binary64`
262×	`fma-neg_binary64`
207×	`unswap-sqr_binary64`
197×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	142	1080
1	416	905
2	1618	869
3	7340	869

Stop Event

1×	node limit

Counts

71 → 73

Calls

Call 1

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

Outputs
y
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 y (-.f64 1 x) x)
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 y (-.f64 1 x) x)
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 y (-.f64 1 x) x)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 y (-.f64 1 x) x)
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 y (-.f64 1 x) x)
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 y (-.f64 1 x) x)
(.f64 (+.f64 1 (.f64 -1 y)) x)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 y (.f64 (+.f64 1 (.f64 -1 y)) x))
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 y (-.f64 1 x) x)
(+.f64 y (.f64 (+.f64 1 (.f64 -1 y)) x))
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 y (-.f64 1 x) x)
(+.f64 y (.f64 (+.f64 1 (.f64 -1 y)) x))
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 y (-.f64 1 x) x)
x
(+.f64 (*.f64 y (-.f64 1 x)) x)
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 y (-.f64 1 x) x)
(+.f64 (*.f64 y (-.f64 1 x)) x)
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 y (-.f64 1 x) x)
(+.f64 (*.f64 y (-.f64 1 x)) x)
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 y (-.f64 1 x) x)
(*.f64 y (-.f64 1 x))
(+.f64 (*.f64 y (-.f64 1 x)) x)
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 y (-.f64 1 x) x)
(+.f64 (*.f64 y (-.f64 1 x)) x)
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 y (-.f64 1 x) x)
(+.f64 (*.f64 y (-.f64 1 x)) x)
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 y (-.f64 1 x) x)
(.f64 y (+.f64 1 (.f64 -1 x)))
(*.f64 y (-.f64 1 x))
(+.f64 (.f64 y (+.f64 1 (.f64 -1 x))) x)
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 y (-.f64 1 x) x)
(+.f64 (.f64 y (+.f64 1 (.f64 -1 x))) x)
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 y (-.f64 1 x) x)
(+.f64 (.f64 y (+.f64 1 (.f64 -1 x))) x)
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 y (-.f64 1 x) x)
(+.f64 x (-.f64 y (*.f64 x y)))
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 y (-.f64 1 x) x)
(+.f64 x (.f64 (-.f64 y (.f64 x y)) 1))
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 y (-.f64 1 x) x)
(+.f64 y (-.f64 x (*.f64 x y)))
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 y (-.f64 1 x) x)
(+.f64 y (+.f64 x (*.f64 x (neg.f64 y))))
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 y (-.f64 1 x) x)
(+.f64 (+.f64 x y) (*.f64 x (neg.f64 y)))
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 y (-.f64 1 x) x)
(+.f64 (+.f64 x y) (.f64 (.f64 x (neg.f64 y)) 1))
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 y (-.f64 1 x) x)
(+.f64 (+.f64 y (-.f64 x (.f64 x y))) (fma.f64 (neg.f64 y) x (.f64 x y)))
(+.f64 y (+.f64 (-.f64 x (.f64 y x)) (fma.f64 (neg.f64 y) x (.f64 y x))))
(+.f64 (fma.f64 y (-.f64 1 x) x) (*.f64 y (+.f64 (neg.f64 x) x)))
(+.f64 y (.f64 x (+.f64 (-.f64 1 y) (.f64 y 0))))
(+.f64 (+.f64 y (-.f64 x (.f64 x y))) (fma.f64 (neg.f64 x) y (.f64 x y)))
(+.f64 y (+.f64 (-.f64 x (.f64 y x)) (fma.f64 (neg.f64 y) x (.f64 y x))))
(+.f64 (fma.f64 y (-.f64 1 x) x) (*.f64 y (+.f64 (neg.f64 x) x)))
(+.f64 y (.f64 x (+.f64 (-.f64 1 y) (.f64 y 0))))
(+.f64 (+.f64 y (-.f64 x (.f64 x y))) (fma.f64 (.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(+.f64 y (+.f64 (-.f64 x (.f64 y x)) (fma.f64 (neg.f64 y) x (.f64 y x))))
(+.f64 (fma.f64 y (-.f64 1 x) x) (*.f64 y (+.f64 (neg.f64 x) x)))
(+.f64 y (.f64 x (+.f64 (-.f64 1 y) (.f64 y 0))))
(+.f64 (+.f64 y (-.f64 x (.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 x y)))
(+.f64 y (+.f64 (-.f64 x (.f64 y x)) (fma.f64 (neg.f64 y) x (.f64 y x))))
(+.f64 (fma.f64 y (-.f64 1 x) x) (*.f64 y (+.f64 (neg.f64 x) x)))
(+.f64 y (.f64 x (+.f64 (-.f64 1 y) (.f64 y 0))))
(+.f64 (+.f64 y (-.f64 x (.f64 x y))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)) (.f64 x y)))
(+.f64 y (+.f64 (-.f64 x (.f64 y x)) (fma.f64 (neg.f64 y) x (.f64 y x))))
(+.f64 (fma.f64 y (-.f64 1 x) x) (*.f64 y (+.f64 (neg.f64 x) x)))
(+.f64 y (.f64 x (+.f64 (-.f64 1 y) (.f64 y 0))))
(+.f64 (*.f64 x (neg.f64 y)) (+.f64 x y))
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 y (-.f64 1 x) x)
(+.f64 (-.f64 y (*.f64 x y)) x)
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 y (-.f64 1 x) x)
(.f64 (+.f64 y (-.f64 x (.f64 x y))) 1)
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 y (-.f64 1 x) x)
(.f64 1 (+.f64 y (-.f64 x (.f64 x y))))
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 y (-.f64 1 x) x)
(.f64 (cbrt.f64 (+.f64 y (-.f64 x (.f64 x y)))) (pow.f64 (cbrt.f64 (+.f64 y (-.f64 x (*.f64 x y)))) 2))
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 y (-.f64 1 x) x)
(.f64 (pow.f64 (cbrt.f64 (+.f64 y (-.f64 x (.f64 x y)))) 2) (cbrt.f64 (+.f64 y (-.f64 x (*.f64 x y)))))
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 y (-.f64 1 x) x)
(.f64 (sqrt.f64 (+.f64 y (-.f64 x (.f64 x y)))) (sqrt.f64 (+.f64 y (-.f64 x (*.f64 x y)))))
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 y (-.f64 1 x) x)
(.f64 (-.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x y) 2) (.f64 (.f64 x y) (+.f64 y (+.f64 x (*.f64 x y)))))))
(.f64 (-.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (.f64 y x) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 y x) 2) (.f64 (.f64 y x) (+.f64 y (+.f64 x (*.f64 y x)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 (.f64 y x) (+.f64 y (fma.f64 y x x)) (pow.f64 (+.f64 y x) 2)))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 x (.f64 y (+.f64 y (fma.f64 y x x))) (pow.f64 (+.f64 y x) 2)))
(.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (pow.f64 (.f64 x y) 2)) (/.f64 1 (+.f64 y (+.f64 x (*.f64 x y)))))
(.f64 (-.f64 (pow.f64 (+.f64 y x) 2) (pow.f64 (.f64 y x) 2)) (/.f64 1 (+.f64 y (+.f64 x (*.f64 y x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) 2) (pow.f64 (*.f64 y x) 2)) (+.f64 y (fma.f64 y x x)))
(.f64 (+.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (.f64 x y))) (-.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (*.f64 x y))))
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 y (-.f64 1 x) x)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x y) 2) (.f64 (.f64 x y) (+.f64 y (+.f64 x (.f64 x y))))) (-.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (.f64 x y) 3))))
(.f64 (-.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (.f64 y x) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 y x) 2) (.f64 (.f64 y x) (+.f64 y (+.f64 x (*.f64 y x)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 (.f64 y x) (+.f64 y (fma.f64 y x x)) (pow.f64 (+.f64 y x) 2)))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 x (.f64 y (+.f64 y (fma.f64 y x x))) (pow.f64 (+.f64 y x) 2)))
(/.f64 1 (/.f64 (+.f64 y (+.f64 x (.f64 x y))) (-.f64 (pow.f64 (+.f64 x y) 2) (pow.f64 (.f64 x y) 2))))
(.f64 (-.f64 (pow.f64 (+.f64 y x) 2) (pow.f64 (.f64 y x) 2)) (/.f64 1 (+.f64 y (+.f64 x (*.f64 y x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) 2) (pow.f64 (*.f64 y x) 2)) (+.f64 y (fma.f64 y x x)))
(/.f64 (-.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (+.f64 x y) 2) (.f64 (.f64 x y) (+.f64 y (+.f64 x (.f64 x y))))))
(.f64 (-.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (.f64 y x) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 y x) 2) (.f64 (.f64 y x) (+.f64 y (+.f64 x (*.f64 y x)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 (.f64 y x) (+.f64 y (fma.f64 y x x)) (pow.f64 (+.f64 y x) 2)))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 x (.f64 y (+.f64 y (fma.f64 y x x))) (pow.f64 (+.f64 y x) 2)))
(/.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (pow.f64 (.f64 x y) 2)) (+.f64 y (+.f64 x (.f64 x y))))
(.f64 (-.f64 (pow.f64 (+.f64 y x) 2) (pow.f64 (.f64 y x) 2)) (/.f64 1 (+.f64 y (+.f64 x (*.f64 y x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) 2) (pow.f64 (*.f64 y x) 2)) (+.f64 y (fma.f64 y x x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x y) 2) (.f64 (.f64 x y) (+.f64 y (+.f64 x (.f64 x y)))))))
(.f64 (-.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (.f64 y x) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 y x) 2) (.f64 (.f64 y x) (+.f64 y (+.f64 x (*.f64 y x)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 (.f64 y x) (+.f64 y (fma.f64 y x x)) (pow.f64 (+.f64 y x) 2)))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 x (.f64 y (+.f64 y (fma.f64 y x x))) (pow.f64 (+.f64 y x) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (pow.f64 (.f64 x y) 2))) (neg.f64 (+.f64 y (+.f64 x (.f64 x y)))))
(.f64 (-.f64 (pow.f64 (+.f64 y x) 2) (pow.f64 (.f64 y x) 2)) (/.f64 1 (+.f64 y (+.f64 x (*.f64 y x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) 2) (pow.f64 (*.f64 y x) 2)) (+.f64 y (fma.f64 y x x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 y (.f64 x y)) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (-.f64 y (.f64 x y)) (-.f64 y (.f64 x y))) (.f64 x (-.f64 y (*.f64 x y))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 y (.f64 y x)) 3)) (fma.f64 x x (.f64 (-.f64 y (.f64 y x)) (-.f64 (-.f64 y (.f64 y x)) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y (-.f64 1 x)) 3)) (fma.f64 x x (.f64 (*.f64 y (-.f64 1 x)) (-.f64 y (fma.f64 y x x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y (-.f64 1 x)) 3)) (fma.f64 (.f64 y (-.f64 1 x)) (-.f64 y (fma.f64 y x x)) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (.f64 x (neg.f64 y)) 3)) (+.f64 (pow.f64 (+.f64 x y) 2) (-.f64 (.f64 (.f64 x (neg.f64 y)) (.f64 x (neg.f64 y))) (.f64 (+.f64 x y) (.f64 x (neg.f64 y))))))
(.f64 (-.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (.f64 y x) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 y x) 2) (.f64 (.f64 y x) (+.f64 y (+.f64 x (*.f64 y x)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 (.f64 y x) (+.f64 y (fma.f64 y x x)) (pow.f64 (+.f64 y x) 2)))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 x (.f64 y (+.f64 y (fma.f64 y x x))) (pow.f64 (+.f64 y x) 2)))
(/.f64 (-.f64 (.f64 x x) (.f64 (-.f64 y (.f64 x y)) (-.f64 y (.f64 x y)))) (-.f64 x (-.f64 y (*.f64 x y))))
(/.f64 (-.f64 (.f64 x x) (.f64 (-.f64 y (.f64 y x)) (-.f64 y (.f64 y x)))) (+.f64 (-.f64 x y) (*.f64 y x)))
(/.f64 (fma.f64 y (-.f64 1 x) x) (/.f64 (+.f64 (.f64 y x) (-.f64 x y)) (+.f64 (.f64 y x) (-.f64 x y))))
(/.f64 (fma.f64 y (-.f64 1 x) x) 1)
(/.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (.f64 (.f64 x (neg.f64 y)) (.f64 x (neg.f64 y)))) (-.f64 (+.f64 x y) (.f64 x (neg.f64 y))))
(.f64 (-.f64 (pow.f64 (+.f64 y x) 2) (pow.f64 (.f64 y x) 2)) (/.f64 1 (+.f64 y (+.f64 x (*.f64 y x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) 2) (pow.f64 (*.f64 y x) 2)) (+.f64 y (fma.f64 y x x)))
(pow.f64 (+.f64 y (-.f64 x (*.f64 x y))) 1)
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 y (-.f64 1 x) x)
(pow.f64 (pow.f64 (+.f64 y (-.f64 x (*.f64 x y))) 3) 1/3)
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 y (-.f64 1 x) x)
(pow.f64 (cbrt.f64 (+.f64 y (-.f64 x (*.f64 x y)))) 3)
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 y (-.f64 1 x) x)
(pow.f64 (sqrt.f64 (+.f64 y (-.f64 x (*.f64 x y)))) 2)
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 y (-.f64 1 x) x)
(sqrt.f64 (pow.f64 (+.f64 y (-.f64 x (*.f64 x y))) 2))
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 y (-.f64 1 x) x)
(log.f64 (exp.f64 (+.f64 y (-.f64 x (*.f64 x y)))))
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 y (-.f64 1 x) x)
(cbrt.f64 (pow.f64 (+.f64 y (-.f64 x (*.f64 x y))) 3))
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 y (-.f64 1 x) x)
(expm1.f64 (log1p.f64 (+.f64 y (-.f64 x (*.f64 x y)))))
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 y (-.f64 1 x) x)
(log1p.f64 (expm1.f64 (+.f64 y (-.f64 x (*.f64 x y)))))
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 y (-.f64 1 x) x)
(exp.f64 (log.f64 (+.f64 y (-.f64 x (*.f64 x y)))))
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 y (-.f64 1 x) x)
(fma.f64 1 x (-.f64 y (*.f64 x y)))
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 y (-.f64 1 x) x)
(fma.f64 1 (+.f64 x y) (*.f64 x (neg.f64 y)))
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 y (-.f64 1 x) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (-.f64 y (*.f64 x y)))
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 y (-.f64 1 x) x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (cbrt.f64 (+.f64 x y)) (*.f64 x (neg.f64 y)))
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 y (-.f64 1 x) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 y (*.f64 x y)))
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 y (-.f64 1 x) x)
(fma.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)) (*.f64 x (neg.f64 y)))
(+.f64 y (*.f64 (-.f64 1 y) x))
(fma.f64 y (-.f64 1 x) x)

localize6.0ms (0.3%)

Compiler: Compiled 14 to 8 computations (42.9% saved)

eval15.0ms (0.8%)

Compiler: Compiled 1102 to 362 computations (67.2% saved)

prune23.0ms (1.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	69	4	73
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	70	5	75

Error

Counts

75 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 (+.f64 x y) (*.f64 x y))
▶	28.7b	(-.f64 x (*.f64 y x))
▶	23.1b	(*.f64 y (-.f64 1 x))
	33.9b	y
	40.3b	x

Compiler

Compiled 29 to 18 computations (37.9% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

series2.0ms (0.1%)

Counts

1 → 12

Calls

6 calls:

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

rewrite38.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

617×	`pow1_binary64`
572×	`add-log-exp_binary64`
572×	`log1p-expm1-u_binary64`
572×	`expm1-log1p-u_binary64`
561×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	122	7
2	1510	7

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

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

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

Outputs

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

simplify37.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

540×	`log-prod_binary64`
473×	`fma-def_binary64`
372×	`distribute-rgt-neg-out_binary64`
355×	`distribute-lft-neg-out_binary64`
255×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	283
1	131	239
2	394	239
3	1971	239
4	4823	239

Stop Event

1×	node limit

Counts

29 → 33

Calls

Call 1

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

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

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 4 computations (66.7% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite39.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

651×	`pow1_binary64`
606×	`add-log-exp_binary64`
606×	`log1p-expm1-u_binary64`
606×	`expm1-log1p-u_binary64`
593×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	113	7
2	1654	7

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

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

Outputs

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

simplify53.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

894×	`fma-neg_binary64`
525×	`fma-def_binary64`
320×	`times-frac_binary64`
215×	`associate-/l*_binary64`
181×	`unswap-sqr_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	114	580
1	305	550
2	1160	550
3	5710	550

Stop Event

1×	node limit

Counts

64 → 52

Calls

Call 1

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

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

eval14.0ms (0.7%)

Compiler: Compiled 898 to 363 computations (59.6% saved)

prune31.0ms (1.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	84	6	90

Error

Counts

90 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 (+.f64 x y) (*.f64 x y))
✓	28.7b	(-.f64 x (*.f64 y x))
✓	23.1b	(*.f64 y (-.f64 1 x))
▶	51.2b	(*.f64 y (neg.f64 x))
	33.9b	y
	40.3b	x

Compiler

Compiled 35 to 22 computations (37.1% saved)

localize4.0ms (0.2%)

Compiler: Compiled 10 to 4 computations (60% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	3	3
Total	6	6

Error

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 (+.f64 x y) (*.f64 x y))
✓	28.7b	(-.f64 x (*.f64 y x))
✓	23.1b	(*.f64 y (-.f64 1 x))
✓	51.2b	(*.f64 y (neg.f64 x))
	33.9b	y
	40.3b	x

Compiler

Compiled 35 to 22 computations (37.1% saved)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	4	4
Total	6	6

Error

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 (+.f64 x y) (*.f64 x y))
✓	28.7b	(-.f64 x (*.f64 y x))
✓	23.1b	(*.f64 y (-.f64 1 x))
✓	51.2b	(*.f64 y (neg.f64 x))
	33.9b	y
	40.3b	x

Compiler

Compiled 35 to 22 computations (37.1% saved)

regimes15.0ms (0.8%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	(-.f64 (+.f64 x y) (*.f64 x y))
4.0ms	x
4.0ms	y

Results

Error	Segments	Branch
0b	1	`x`
0b	1	`y`
0b	1	`(-.f64 (+.f64 x y) (*.f64 x y))`

Compiler

Compiled 46 to 24 computations (47.8% saved)

regimes15.0ms (0.8%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	(-.f64 (+.f64 x y) (*.f64 x y))
4.0ms	x
4.0ms	y

Results

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

Compiler

Compiled 40 to 21 computations (47.5% saved)

regimes49.0ms (2.5%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

2 calls:

36.0ms	x
12.0ms	y

Results

Error	Segments	Branch
7.1b	4	`x`
6.9b	2	`y`

Compiler

Compiled 24 to 13 computations (45.8% saved)

bsearch36.0ms (1.8%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
36.0ms	2.5754269896246524e-97	2.35549126140146e-91

Results

12.0ms

144×

body

256

valid

Compiler

Compiled 158 to 108 computations (31.6% saved)

regimes37.0ms (1.9%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

2 calls:

22.0ms	x
14.0ms	y

Results

Error	Segments	Branch
14.0b	6	`x`
7.3b	3	`y`

Compiler

Compiled 19 to 11 computations (42.1% saved)

bsearch39.0ms (2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	2.5754269896246524e-97	2.35549126140146e-91
26.0ms	-2132039657.2649403	-0.28295276412405457

Results

36.0ms

304×

body

256

valid

Compiler

Compiled 232 to 170 computations (26.7% saved)

regimes51.0ms (2.6%)

Counts

3 → 7

Calls

Call 1

Inputs
x
y
(*.f64 y (neg.f64 x))

Outputs
x
(*.f64 y (neg.f64 x))
x
y
x
y
(*.f64 y (neg.f64 x))

Calls

2 calls:

38.0ms	x
12.0ms	y

Results

Error	Segments	Branch
14.0b	7	`x`
15.8b	3	`y`

Compiler

Compiled 14 to 8 computations (42.9% saved)

bsearch73.0ms (3.7%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
17.0ms	1.2231131875613401e-21	205915072983289.9
5.0ms	-1.5209984930912788e-87	-1.2036771809433977e-87
10.0ms	-1.2751679546063388e-64	-4.774663929491307e-66
16.0ms	-2.214443291083513e-20	-8.548806438734929e-28
8.0ms	-1.2815081748103332e+62	-4.222822836231663e+61
16.0ms	-2.6428409983416858e+110	-9.715876408241014e+104

Results

63.0ms	704×	body	256	valid
2.0ms	28×	body	256	infinite

Compiler

Compiled 441 to 323 computations (26.8% saved)

regimes23.0ms (1.2%)

Accuracy

Total -44.0b remaining (-245.4%)

Threshold costs -44.0b (-245.4%)

Counts

2 → 2

Calls

Call 1

Inputs
x
y

Outputs
x
y

Calls

2 calls:

13.0ms	x
9.0ms	y

Results

Error	Segments	Branch
18.6b	4	`x`
17.9b	2	`y`

Compiler

Compiled 10 to 6 computations (40% saved)

bsearch13.0ms (0.7%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
13.0ms	2.5754269896246524e-97	2.35549126140146e-91

Results

12.0ms

144×

body

256

valid

Compiler

Compiled 86 to 63 computations (26.7% saved)

simplify15.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative_binary64`
7×	`sub-neg_binary64`
6×	`*-commutative_binary64`
3×	`cancel-sign-sub-inv_binary64`
3×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	126
1	65	126
2	77	126
3	82	126
4	84	126

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 x (-.f64 1 y) y)
(-.f64 (+.f64 x y) (*.f64 x y))
(if (<=.f64 y 32108980623861/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248) (-.f64 x (.f64 y x)) (.f64 y (-.f64 1 x)))
(if (<=.f64 y -1) (.f64 y (neg.f64 x)) (if (<=.f64 y 96326941871583/2293498615990071511610820895302086940796564989168281123737588839386922876088484808070018553110125686554624) x (.f64 y (-.f64 1 x))))
(if (<=.f64 x -2150000000000000083690419259895400527725463227111497240051511683964300337512812128222177233987927780884480) x (if (<=.f64 x -79999999999999995950970823765921509357091600881072805846712320) (.f64 y (neg.f64 x)) (if (<=.f64 x -4253529586511731/664613997892457936451903530140172288) x (if (<=.f64 x -6165697167708613/474284397516047136454946754595585670566993857190463750305618264096412179005177856) y (if (<=.f64 x -6719234226533413/4479489484355608421114884561136888556243290994469299069799978201927583742360321890761754986543214231552) x (if (<=.f64 x 1) y (.f64 y (neg.f64 x))))))))
(if (<=.f64 y 4208588308330709/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424) x y)
x

Outputs
(fma.f64 x (-.f64 1 y) y)
(-.f64 (+.f64 x y) (*.f64 x y))
(if (<=.f64 y 32108980623861/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248) (-.f64 x (.f64 y x)) (.f64 y (-.f64 1 x)))
(if (<=.f64 y 32108980623861/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248) (-.f64 x (.f64 x y)) (.f64 y (-.f64 1 x)))
(if (<=.f64 y -1) (.f64 y (neg.f64 x)) (if (<=.f64 y 96326941871583/2293498615990071511610820895302086940796564989168281123737588839386922876088484808070018553110125686554624) x (.f64 y (-.f64 1 x))))
(if (<=.f64 y -1) (.f64 x (neg.f64 y)) (if (<=.f64 y 96326941871583/2293498615990071511610820895302086940796564989168281123737588839386922876088484808070018553110125686554624) x (.f64 y (-.f64 1 x))))
(if (<=.f64 x -2150000000000000083690419259895400527725463227111497240051511683964300337512812128222177233987927780884480) x (if (<=.f64 x -79999999999999995950970823765921509357091600881072805846712320) (.f64 y (neg.f64 x)) (if (<=.f64 x -4253529586511731/664613997892457936451903530140172288) x (if (<=.f64 x -6165697167708613/474284397516047136454946754595585670566993857190463750305618264096412179005177856) y (if (<=.f64 x -6719234226533413/4479489484355608421114884561136888556243290994469299069799978201927583742360321890761754986543214231552) x (if (<=.f64 x 1) y (.f64 y (neg.f64 x))))))))
(if (<=.f64 x -2150000000000000083690419259895400527725463227111497240051511683964300337512812128222177233987927780884480) x (if (<=.f64 x -79999999999999995950970823765921509357091600881072805846712320) (.f64 x (neg.f64 y)) (if (<=.f64 x -4253529586511731/664613997892457936451903530140172288) x (if (<=.f64 x -6165697167708613/474284397516047136454946754595585670566993857190463750305618264096412179005177856) y (if (<=.f64 x -6719234226533413/4479489484355608421114884561136888556243290994469299069799978201927583742360321890761754986543214231552) x (if (<=.f64 x 1) y (.f64 x (neg.f64 y))))))))
(if (<=.f64 y 4208588308330709/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424) x y)
x

Compiler

Compiled 103 to 62 computations (39.8% saved)

soundness48.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

249×	`fma-neg_binary64`
179×	`fma-def_binary64`
55×	`cancel-sign-sub-inv_binary64`
39×	`sub-neg_binary64`
37×	`associate--r+_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	15	10
2	35	10
3	69	9
4	136	8
5	265	8
6	509	8
7	777	8
8	952	8
9	981	8
10	982	8

Stop Event

1×

saturated

Compiler

Compiled 124 to 77 computations (37.9% saved)

end51.0ms (2.6%)

Remove: (sort x y)
Compiler: Compiled 107 to 57 computations (46.7% saved)

Iter	Nodes	Cost
0	9	20
1	27	20
2	46	20
3	82	18
4	152	16
5	284	16
6	534	16
7	790	16
8	932	16
9	952	16
10	953	16
0	2	2
1	2	2

Iter	Nodes	Cost
0	9	20
1	27	20
2	46	20
3	82	18
4	152	16
5	284	16
6	534	16
7	790	16
8	932	16
9	952	16
10	953	16
0	2	2
1	2	2

Details

analyze55.0ms (2.8%)

sample698.0ms (35.7%)

preprocess278.0ms (14.2%)

simplify24.0ms (1.2%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize6.0ms (0.3%)

series9.0ms (0.5%)

rewrite81.0ms (4.1%)

simplify56.0ms (2.9%)

localize6.0ms (0.3%)

eval15.0ms (0.8%)

prune23.0ms (1.2%)

localize5.0ms (0.3%)

series2.0ms (0.1%)

rewrite38.0ms (2%)

simplify37.0ms (1.9%)

localize4.0ms (0.2%)

series2.0ms (0.1%)

rewrite39.0ms (2%)

simplify53.0ms (2.7%)

eval14.0ms (0.7%)

prune31.0ms (1.6%)

localize4.0ms (0.2%)

eval0.0ms (0%)

prune2.0ms (0.1%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes15.0ms (0.8%)

regimes15.0ms (0.8%)

regimes49.0ms (2.5%)

bsearch36.0ms (1.8%)

regimes37.0ms (1.9%)

bsearch39.0ms (2%)

regimes51.0ms (2.6%)

bsearch73.0ms (3.7%)

regimes23.0ms (1.2%)

bsearch13.0ms (0.7%)

simplify15.0ms (0.8%)

soundness48.0ms (2.5%)

end51.0ms (2.6%)

Profiling

Iter	Nodes	Cost
0	9	20
1	27	20
2	46	20
3	82	18
4	152	16
5	284	16
6	534	16
7	790	16
8	932	16
9	952	16
10	953	16
0	2	2
1	2	2