Details

analyze56.0ms (2.5%)

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)

sample923.0ms (41.3%)

Results

856.0ms	8254×	body	256	valid
40.0ms	324×	body	256	infinite
0.0ms	1×	body	1024	valid
0.0ms	1×	body	512	valid

Bogosity

preprocess35.0ms (1.6%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1
0

Call 2

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

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

Symmetry

(sort x y)

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify24.0ms (1.1%)

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

0.0b

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))

rewrite61.0ms (2.7%)

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)))))))

simplify84.0ms (3.8%)

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	@	inf	(fma.f64 x (-.f64 1 y) y)
0.0ms	y	@	0	(fma.f64 x (-.f64 1 y) y)

rewrite37.0ms (1.7%)

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)))))))

simplify45.0ms (2%)

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)

eval23.0ms (1%)

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

prune15.0ms (0.7%)

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
▶	47.5b	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 y (*.f64 x y)))
✓	0.0b	(-.f64 (+.f64 x y) (*.f64 x y))
▶	24.5b	(-.f64 x (*.f64 y x))
▶	30.6b	(*.f64 y (-.f64 1 x))
	38.6b	y
	32.4b	x

Compiler

Compiled 41 to 24 computations (41.5% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

series3.0ms (0.1%)

Counts

1 → 12

Calls

6 calls:

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

rewrite66.0ms (2.9%)

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 y (-.f64 1 x))

Outputs

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

simplify36.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

29 → 33

Calls

Call 1

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

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

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 4 computations (66.7% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
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))

rewrite67.0ms (3%)

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)))))))

simplify46.0ms (2%)

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))

localize8.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 6 computations (75% saved)

series5.0ms (0.2%)

Counts

2 → 40

Calls

12 calls:

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

rewrite60.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

826×	`pow1_binary64`
767×	`add-log-exp_binary64`
767×	`log1p-expm1-u_binary64`
767×	`expm1-log1p-u_binary64`
749×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	153	17
2	2116	17

Stop Event

1×	node limit

Counts

2 → 62

Calls

Call 1

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

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 y (+.f64 1 (neg.f64 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 (+.f64 (neg.f64 x) 1) y)))) (#(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)))))))

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

simplify40.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

371×	`fma-neg_binary64`
336×	`unswap-sqr_binary64`
330×	`times-frac_binary64`
313×	`distribute-rgt-in_binary64`
277×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	154	1009
1	407	951
2	1682	901

Stop Event

1×	node limit

Counts

102 → 84

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

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

eval43.0ms (1.9%)

Compiler: Compiled 2186 to 722 computations (67% saved)

prune48.0ms (2.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	167	2	169
Fresh	0	2	2
Picked	1	0	1
Done	0	3	3
Total	168	7	175

Error

Counts

175 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	50.4b	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
✓	0.0b	(-.f64 (+.f64 x y) (*.f64 x y))
✓	24.5b	(-.f64 x (*.f64 y x))
✓	30.6b	(*.f64 y (-.f64 1 x))
▶	54.4b	(*.f64 y (neg.f64 x))
	38.6b	y
	32.4b	x

Compiler

Compiled 43 to 26 computations (39.5% saved)

localize4.0ms (0.2%)

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

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 4 computations (66.7% saved)

series3.0ms (0.1%)

Counts

1 → 13

Calls

6 calls:

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

rewrite37.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

438×	`pow1_binary64`
420×	`add-sqr-sqrt_binary64`
413×	`*-un-lft-identity_binary64`
403×	`add-log-exp_binary64`
403×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	4
1	98	4
2	1123	4

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

Inputs
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)

Outputs

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

simplify41.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

590×	`fma-neg_binary64`
418×	`log-prod_binary64`
411×	`div-sub_binary64`
308×	`associate-l_binary64`
269×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	61	183
1	143	176
2	495	164
3	3299	164
4	6299	164

Stop Event

1×	node limit

Counts

37 → 32

Calls

Call 1

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

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

eval5.0ms (0.2%)

Compiler: Compiled 268 to 102 computations (61.9% saved)

prune6.0ms (0.3%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	31	1	32
Fresh	0	2	2
Picked	0	1	1
Done	1	3	4
Total	32	7	39

Error

Counts

39 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	50.4b	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
✓	24.5b	(-.f64 x (*.f64 y x))
▶	8.4b	(+.f64 y x)
✓	30.6b	(*.f64 y (-.f64 1 x))
✓	54.4b	(*.f64 y (neg.f64 x))
	38.6b	y
	32.4b	x

Compiler

Compiled 39 to 24 computations (38.5% saved)

localize14.0ms (0.6%)

Compiler: Compiled 7 to 3 computations (57.1% 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
✓	50.4b	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
✓	24.5b	(-.f64 x (*.f64 y x))
✓	8.4b	(+.f64 y x)
✓	30.6b	(*.f64 y (-.f64 1 x))
✓	54.4b	(*.f64 y (neg.f64 x))
	38.6b	y
	32.4b	x

Compiler

Compiled 39 to 24 computations (38.5% saved)

regimes25.0ms (1.1%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

3 calls:

10.0ms	x
7.0ms	(-.f64 (+.f64 x y) (*.f64 x y))
6.0ms	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 65 to 29 computations (55.4% saved)

regimes56.0ms (2.5%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

2 calls:

42.0ms	y
13.0ms	x

Results

Error	Segments	Branch
0.4b	3	`x`
0.1b	3	`y`

Compiler

Compiled 27 to 14 computations (48.1% saved)

bsearch41.0ms (1.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
10.0ms	8.05682486687278e-15	1.086080449370061e-12
31.0ms	-1.8737305242548322e-13	-1.5345324067768296e-21

Results

21.0ms

256×

body

256

valid

Compiler

Compiled 238 to 160 computations (32.8% saved)

regimes53.0ms (2.4%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

2 calls:

23.0ms	x
12.0ms	y

Results

Error	Segments	Branch
5.4b	2	`x`
0.6b	3	`y`

Compiler

Compiled 22 to 12 computations (45.5% saved)

bsearch29.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
12.0ms	8.05682486687278e-15	1.086080449370061e-12
17.0ms	-6883323195653.287	-0.019874933897291416

Results

24.0ms

272×

body

256

valid

Compiler

Compiled 242 to 169 computations (30.2% saved)

regimes23.0ms (1%)

Counts

4 → 4

Calls

Call 1

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

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

Calls

2 calls:

15.0ms	y
7.0ms	x

Results

Error	Segments	Branch
5.7b	2	`x`
4.8b	4	`y`

Compiler

Compiled 17 to 9 computations (47.1% saved)

bsearch43.0ms (1.9%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
11.0ms	3.544850547013154e+113	1.2178435578188374e+114
15.0ms	3.3054472102050885e+89	3.8399380391103093e+92
17.0ms	-6883323195653.287	-0.019874933897291416

Results

34.0ms	368×	body	256	valid
3.0ms	34×	body	256	infinite

Compiler

Compiled 303 to 211 computations (30.4% saved)

regimes9.0ms (0.4%)

Counts

3 → 1

Calls

Call 1

Inputs
x
y
(+.f64 y x)

Outputs
(+.f64 y x)

Calls

2 calls:

5.0ms	x
3.0ms	y

Results

Error	Segments	Branch
8.4b	1	`x`
8.4b	1	`y`

Compiler

Compiled 13 to 7 computations (46.2% saved)

regimes16.0ms (0.7%)

Accuracy

Total -46.4b remaining (-301.5%)

Threshold costs -46.4b (-301.5%)

Counts

2 → 2

Calls

Call 1

Inputs
x
y

Outputs
x
y

Calls

2 calls:

10.0ms	x
6.0ms	y

Results

Error	Segments	Branch
15.5b	2	`x`
15.4b	2	`y`

Compiler

Compiled 10 to 6 computations (40% saved)

bsearch11.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
11.0ms	9.284075438465455e-111	1.3539566044028542e-108

Results

10.0ms

112×

body

256

valid

Compiler

Compiled 70 to 51 computations (27.1% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	117
1	57	117
2	68	117
3	73	117
4	75	117

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (+.f64 x y) (*.f64 x y))
(if (<=.f64 y -7328605032569451/39614081257132168796771975168) (-.f64 x (.f64 y x)) (if (<=.f64 y 5199348164998597/4951760157141521099596496896) (+.f64 y x) (.f64 y (-.f64 1 x))))
(if (<=.f64 y -6800000000000) (.f64 y (neg.f64 x)) (if (<=.f64 y 5199348164998597/4951760157141521099596496896) (+.f64 y x) (.f64 y (-.f64 1 x))))
(if (<=.f64 y -2300000000000) (.f64 y (neg.f64 x)) (if (<=.f64 y 369999999999999998680786495011669533581760778929031367372458602208278614850544409861320343552) (+.f64 y x) (if (<=.f64 y 359999999999999991931072776714238961408413583406448582555808465872522433558245763113188495373317561016476904718336) (.f64 y (neg.f64 x)) y)))
(+.f64 y x)
(if (<=.f64 y 5024025362805889/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048) x y)
x

Outputs
(-.f64 (+.f64 x y) (*.f64 x y))
(if (<=.f64 y -7328605032569451/39614081257132168796771975168) (-.f64 x (.f64 y x)) (if (<=.f64 y 5199348164998597/4951760157141521099596496896) (+.f64 y x) (.f64 y (-.f64 1 x))))
(if (<=.f64 y -7328605032569451/39614081257132168796771975168) (-.f64 x (.f64 x y)) (if (<=.f64 y 5199348164998597/4951760157141521099596496896) (+.f64 x y) (.f64 y (-.f64 1 x))))
(if (<=.f64 y -6800000000000) (.f64 y (neg.f64 x)) (if (<=.f64 y 5199348164998597/4951760157141521099596496896) (+.f64 y x) (.f64 y (-.f64 1 x))))
(if (<=.f64 y -6800000000000) (.f64 y (neg.f64 x)) (if (<=.f64 y 5199348164998597/4951760157141521099596496896) (+.f64 x y) (.f64 y (-.f64 1 x))))
(if (<=.f64 y -6800000000000) (.f64 x (neg.f64 y)) (if (<=.f64 y 5199348164998597/4951760157141521099596496896) (+.f64 x y) (.f64 y (-.f64 1 x))))
(if (<=.f64 y -2300000000000) (.f64 y (neg.f64 x)) (if (<=.f64 y 369999999999999998680786495011669533581760778929031367372458602208278614850544409861320343552) (+.f64 y x) (if (<=.f64 y 359999999999999991931072776714238961408413583406448582555808465872522433558245763113188495373317561016476904718336) (.f64 y (neg.f64 x)) y)))
(if (<=.f64 y -2300000000000) (.f64 y (neg.f64 x)) (if (<=.f64 y 369999999999999998680786495011669533581760778929031367372458602208278614850544409861320343552) (+.f64 x y) (if (<=.f64 y 359999999999999991931072776714238961408413583406448582555808465872522433558245763113188495373317561016476904718336) (.f64 y (neg.f64 x)) y)))
(if (<=.f64 y -2300000000000) (.f64 x (neg.f64 y)) (if (<=.f64 y 369999999999999998680786495011669533581760778929031367372458602208278614850544409861320343552) (+.f64 x y) (if (<=.f64 y 359999999999999991931072776714238961408413583406448582555808465872522433558245763113188495373317561016476904718336) (.f64 x (neg.f64 y)) y)))
(+.f64 y x)
(+.f64 x y)
(if (<=.f64 y 5024025362805889/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048) x y)
x

Compiler

Compiled 96 to 57 computations (40.6% saved)

soundness0.0ms (0%)

end48.0ms (2.2%)

Remove: (sort x y)
Compiler: Compiled 102 to 48 computations (52.9% 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

analyze56.0ms (2.5%)

sample923.0ms (41.3%)

preprocess35.0ms (1.6%)

simplify24.0ms (1.1%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize6.0ms (0.3%)

series3.0ms (0.1%)

rewrite61.0ms (2.7%)

simplify84.0ms (3.8%)

localize6.0ms (0.3%)

series2.0ms (0.1%)

rewrite37.0ms (1.7%)

simplify45.0ms (2%)

eval23.0ms (1%)

prune15.0ms (0.7%)

localize5.0ms (0.2%)

series3.0ms (0.1%)

rewrite66.0ms (2.9%)

simplify36.0ms (1.6%)

localize4.0ms (0.2%)

series2.0ms (0.1%)

rewrite67.0ms (3%)

simplify46.0ms (2%)

localize8.0ms (0.4%)

series5.0ms (0.2%)

rewrite60.0ms (2.7%)

simplify40.0ms (1.8%)

eval43.0ms (1.9%)

prune48.0ms (2.2%)

localize4.0ms (0.2%)

localize5.0ms (0.2%)

series3.0ms (0.1%)

rewrite37.0ms (1.7%)

simplify41.0ms (1.9%)

eval5.0ms (0.2%)

prune6.0ms (0.3%)

localize14.0ms (0.6%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes25.0ms (1.1%)

regimes56.0ms (2.5%)

bsearch41.0ms (1.9%)

regimes53.0ms (2.4%)

bsearch29.0ms (1.3%)

regimes23.0ms (1%)

bsearch43.0ms (1.9%)

regimes9.0ms (0.4%)

regimes16.0ms (0.7%)

bsearch11.0ms (0.5%)

simplify7.0ms (0.3%)

soundness0.0ms (0%)

end48.0ms (2.2%)

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