Details

analyze88.0ms (4.4%)

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)

sample848.0ms (42.2%)

Results

806.0ms	8250×	body	256	valid
28.0ms	342×	body	256	infinite
1.0ms	6×	body	1024	valid

Bogosity

preprocess39.0ms (1.9%)

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)

simplify26.0ms (1.3%)

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
▶	0.0b	(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)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite86.0ms (4.3%)

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)))))))

simplify61.0ms (3%)

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%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 8 computations (42.9% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite43.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

632×	`pow1_binary64`
586×	`add-log-exp_binary64`
586×	`log1p-expm1-u_binary64`
586×	`expm1-log1p-u_binary64`
574×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	123	8
2	1523	8

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

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

Outputs

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

simplify43.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

505×	`times-frac_binary64`
377×	`associate-l_binary64`
335×	`associate-+l+_binary64`
317×	`associate-r_binary64`
265×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	63	385
1	167	381
2	641	375
3	3515	375

Stop Event

1×	node limit

Counts

45 → 40

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

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

eval30.0ms (1.5%)

Compiler: Compiled 1549 to 622 computations (59.8% saved)

prune37.0ms (1.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	108	5	113
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	109	6	115

Error

Counts

115 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 (+.f64 x y) (*.f64 x y))
▶	29.2b	(-.f64 y (*.f64 y x))
▶	24.3b	(-.f64 x (*.f64 y x))
▶	24.3b	(*.f64 (-.f64 1 y) x)
	38.8b	y
	34.5b	x

Compiler

Compiled 36 to 22 computations (38.9% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

series4.0ms (0.2%)

Counts

1 → 12

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(*.f64 (-.f64 1 y) x)
0.0ms	x	@	inf	(*.f64 (-.f64 1 y) x)
0.0ms	y	@	0	(*.f64 (-.f64 1 y) x)
0.0ms	x	@	-inf	(*.f64 (-.f64 1 y) x)
0.0ms	y	@	inf	(*.f64 (-.f64 1 y) x)

rewrite37.0ms (1.9%)

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 (-.f64 1 y) x)

Outputs

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

simplify37.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	55	261
1	130	239
2	394	239
3	1976	239
4	4826	239

Stop Event

1×	node limit

Counts

29 → 33

Calls

Call 1

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

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

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
0.0ms	x	@	inf	(-.f64 x (*.f64 y x))
0.0ms	x	@	0	(-.f64 x (*.f64 y x))
0.0ms	x	@	-inf	(-.f64 x (*.f64 y x))
0.0ms	y	@	-inf	(-.f64 x (*.f64 y x))
0.0ms	y	@	inf	(-.f64 x (*.f64 y x))

rewrite59.0ms (2.9%)

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)))))))

simplify47.0ms (2.3%)

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))

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite41.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

649×	`pow1_binary64`
604×	`add-log-exp_binary64`
604×	`log1p-expm1-u_binary64`
604×	`expm1-log1p-u_binary64`
591×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	113	7
2	1650	7

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify49.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

855×	`fma-neg_binary64`
535×	`fma-def_binary64`
320×	`times-frac_binary64`
217×	`associate-/l*_binary64`
188×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	107	566
1	296	536
2	1146	536
3	5664	536

Stop Event

1×	node limit

Counts

62 → 48

Calls

Call 1

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

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

eval23.0ms (1.1%)

Compiler: Compiled 1490 to 546 computations (63.4% saved)

prune40.0ms (2%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	132	1	133
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	132	7	139

Error

Counts

139 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 (+.f64 x y) (*.f64 x y))
✓	29.2b	(-.f64 y (*.f64 y x))
✓	24.3b	(-.f64 x (*.f64 y x))
✓	24.3b	(*.f64 (-.f64 1 y) x)
▶	52.2b	(*.f64 y (neg.f64 x))
	38.8b	y
	34.5b	x

Compiler

Compiled 42 to 26 computations (38.1% 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

7 alts after pruning (2 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	4	4
Total	7	7

Error

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 (+.f64 x y) (*.f64 x y))
✓	29.2b	(-.f64 y (*.f64 y x))
✓	24.3b	(-.f64 x (*.f64 y x))
✓	24.3b	(*.f64 (-.f64 1 y) x)
✓	52.2b	(*.f64 y (neg.f64 x))
	38.8b	y
	34.5b	x

Compiler

Compiled 42 to 26 computations (38.1% saved)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	5	5
Total	7	7

Error

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 (+.f64 x y) (*.f64 x y))
✓	29.2b	(-.f64 y (*.f64 y x))
✓	24.3b	(-.f64 x (*.f64 y x))
✓	24.3b	(*.f64 (-.f64 1 y) x)
✓	52.2b	(*.f64 y (neg.f64 x))
	38.8b	y
	34.5b	x

Compiler

Compiled 42 to 26 computations (38.1% saved)

regimes18.0ms (0.9%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	(-.f64 (+.f64 x y) (*.f64 x y))
5.0ms	x
5.0ms	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 51 to 25 computations (51% saved)

regimes29.0ms (1.5%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

2 calls:

15.0ms	x
13.0ms	y

Results

Error	Segments	Branch
7.9b	2	`x`
7.4b	2	`y`

Compiler

Compiled 29 to 14 computations (51.7% saved)

bsearch9.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
9.0ms	5.331190345767361e-40	2.6393131321399126e-39

Results

8.0ms

96×

body

256

valid

Compiler

Compiled 110 to 75 computations (31.8% saved)

regimes31.0ms (1.5%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

2 calls:

15.0ms	y
11.0ms	x

Results

Error	Segments	Branch
7.9b	3	`x`
12.8b	4	`y`

Compiler

Compiled 24 to 13 computations (45.8% saved)

bsearch27.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	3.784200518559366e-20	126362877181.60814
10.0ms	-2.617069328622075e-60	-6.38756816446603e-61

Results

24.0ms

272×

body

256

valid

Compiler

Compiled 207 to 145 computations (30% saved)

regimes26.0ms (1.3%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

2 calls:

15.0ms	y
10.0ms	x

Results

Error	Segments	Branch
7.9b	3	`x`
12.8b	4	`y`

Compiler

Compiled 19 to 11 computations (42.1% saved)

bsearch26.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	3.784200518559366e-20	126362877181.60814
9.0ms	-2.617069328622075e-60	-6.38756816446603e-61

Results

23.0ms

272×

body

256

valid

Compiler

Compiled 207 to 151 computations (27.1% saved)

regimes30.0ms (1.5%)

Counts

3 → 5

Calls

Call 1

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

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

Calls

2 calls:

15.0ms	y
14.0ms	x

Results

Error	Segments	Branch
15.2b	3	`x`
13.4b	5	`y`

Compiler

Compiled 14 to 8 computations (42.9% saved)

bsearch43.0ms (2.1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
9.0ms	3.1640226305137673e+74	7.45368150684203e+74
11.0ms	1.216403930003829e+51	1.2939028819641165e+53
10.0ms	5.331190345767361e-40	2.6393131321399126e-39
13.0ms	-104.12336218102868	-4.024900804703976e-7

Results

36.0ms	432×	body	256	valid
2.0ms	9×	body	256	infinite

Compiler

Compiled 293 to 213 computations (27.3% saved)

regimes17.0ms (0.9%)

Accuracy

Total -44.5b remaining (-255.5%)

Threshold costs -44.5b (-255.5%)

Counts

2 → 2

Calls

Call 1

Inputs
x
y

Outputs
x
y

Calls

2 calls:

9.0ms	x
8.0ms	y

Results

Error	Segments	Branch
18.1b	2	`x`
17.4b	2	`y`

Compiler

Compiled 10 to 6 computations (40% saved)

bsearch9.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
9.0ms	5.331190345767361e-40	2.6393131321399126e-39

Results

8.0ms

96×

body

256

valid

Compiler

Compiled 62 to 45 computations (27.4% saved)

simplify9.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	130
1	66	130
2	78	130
3	83	130
4	85	130

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (+.f64 x y) (*.f64 x y))
(if (<=.f64 y 3984488406251311/1532495540865888858358347027150309183618739122183602176) (.f64 (-.f64 1 y) x) (-.f64 y (.f64 y x)))
(if (<=.f64 x -3618502788666131/3618502788666131106986593281521497120414687020801267626233049500247285301248) (-.f64 x (.f64 y x)) (if (<=.f64 x 1) y (.f64 y (neg.f64 x))))
(if (<=.f64 x -6368564908052391/7237005577332262213973186563042994240829374041602535252466099000494570602496) (.f64 (-.f64 1 y) x) (if (<=.f64 x 2476979795053773/2251799813685248) y (.f64 y (neg.f64 x))))
(if (<=.f64 y -1) (.f64 y (neg.f64 x)) (if (<=.f64 y 2605242419472011/3064991081731777716716694054300618367237478244367204352) x (if (<=.f64 y 38999999999999999735616998300103491082006629235818496) y (if (<=.f64 y 319999999999999994570782974387624255369890567701909002298830534386135334912) (.f64 y (neg.f64 x)) y))))
(if (<=.f64 y 1724057483474125/766247770432944429179173513575154591809369561091801088) x y)
x

Outputs
(-.f64 (+.f64 x y) (*.f64 x y))
(if (<=.f64 y 3984488406251311/1532495540865888858358347027150309183618739122183602176) (.f64 (-.f64 1 y) x) (-.f64 y (.f64 y x)))
(if (<=.f64 y 3984488406251311/1532495540865888858358347027150309183618739122183602176) (.f64 x (-.f64 1 y)) (-.f64 y (.f64 x y)))
(if (<=.f64 x -3618502788666131/3618502788666131106986593281521497120414687020801267626233049500247285301248) (-.f64 x (.f64 y x)) (if (<=.f64 x 1) y (.f64 y (neg.f64 x))))
(if (<=.f64 x -3618502788666131/3618502788666131106986593281521497120414687020801267626233049500247285301248) (-.f64 x (.f64 x y)) (if (<=.f64 x 1) y (.f64 y (neg.f64 x))))
(if (<=.f64 x -3618502788666131/3618502788666131106986593281521497120414687020801267626233049500247285301248) (-.f64 x (.f64 x y)) (if (<=.f64 x 1) y (.f64 x (neg.f64 y))))
(if (<=.f64 x -6368564908052391/7237005577332262213973186563042994240829374041602535252466099000494570602496) (.f64 (-.f64 1 y) x) (if (<=.f64 x 2476979795053773/2251799813685248) y (.f64 y (neg.f64 x))))
(if (<=.f64 x -6368564908052391/7237005577332262213973186563042994240829374041602535252466099000494570602496) (.f64 x (-.f64 1 y)) (if (<=.f64 x 2476979795053773/2251799813685248) y (.f64 y (neg.f64 x))))
(if (<=.f64 x -6368564908052391/7237005577332262213973186563042994240829374041602535252466099000494570602496) (.f64 x (-.f64 1 y)) (if (<=.f64 x 2476979795053773/2251799813685248) y (.f64 x (neg.f64 y))))
(if (<=.f64 y -1) (.f64 y (neg.f64 x)) (if (<=.f64 y 2605242419472011/3064991081731777716716694054300618367237478244367204352) x (if (<=.f64 y 38999999999999999735616998300103491082006629235818496) y (if (<=.f64 y 319999999999999994570782974387624255369890567701909002298830534386135334912) (.f64 y (neg.f64 x)) y))))
(if (<=.f64 y -1) (.f64 x (neg.f64 y)) (if (<=.f64 y 2605242419472011/3064991081731777716716694054300618367237478244367204352) x (if (<=.f64 y 38999999999999999735616998300103491082006629235818496) y (if (<=.f64 y 319999999999999994570782974387624255369890567701909002298830534386135334912) (.f64 x (neg.f64 y)) y))))
(if (<=.f64 y 1724057483474125/766247770432944429179173513575154591809369561091801088) x y)
x

Compiler

Compiled 105 to 63 computations (40% saved)

soundness0.0ms (0%)

end50.0ms (2.5%)

Remove: (sort x y)
Compiler: Compiled 111 to 55 computations (50.5% 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

analyze88.0ms (4.4%)

sample848.0ms (42.2%)

preprocess39.0ms (1.9%)

simplify26.0ms (1.3%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize6.0ms (0.3%)

series3.0ms (0.1%)

rewrite86.0ms (4.3%)

simplify61.0ms (3%)

localize6.0ms (0.3%)

series2.0ms (0.1%)

rewrite43.0ms (2.1%)

simplify43.0ms (2.1%)

eval30.0ms (1.5%)

prune37.0ms (1.9%)

localize5.0ms (0.3%)

series4.0ms (0.2%)

rewrite37.0ms (1.9%)

simplify37.0ms (1.8%)

localize4.0ms (0.2%)

series2.0ms (0.1%)

rewrite59.0ms (2.9%)

simplify47.0ms (2.3%)

localize5.0ms (0.2%)

series2.0ms (0.1%)

rewrite41.0ms (2%)

simplify49.0ms (2.5%)

eval23.0ms (1.1%)

prune40.0ms (2%)

localize4.0ms (0.2%)

eval0.0ms (0%)

prune2.0ms (0.1%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes18.0ms (0.9%)

regimes29.0ms (1.5%)

bsearch9.0ms (0.5%)

regimes31.0ms (1.5%)

bsearch27.0ms (1.3%)

regimes26.0ms (1.3%)

bsearch26.0ms (1.3%)

regimes30.0ms (1.5%)

bsearch43.0ms (2.1%)

regimes17.0ms (0.9%)

bsearch9.0ms (0.4%)

simplify9.0ms (0.5%)

soundness0.0ms (0%)

end50.0ms (2.5%)

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