Details

analyze63.0ms (2.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
50%	48.4%	1.7%	7
59.3%	38.2%	2.4%	8
67.1%	27.7%	5.2%	9
72.6%	21.3%	6.1%	10
76.9%	14.7%	8.4%	11
79.8%	11.2%	9%	12

Compiler

Compiled 10 to 6 computations (40% saved)

sample789.0ms (26.8%)

Results

742.0ms	8255×	body	256	valid
33.0ms	365×	body	256	invalid
0.0ms	1×	body	1024	valid

preprocess41.0ms (1.4%)

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)

simplify27.0ms (0.9%)

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 → 2

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 15 to 8 computations (46.7% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

Counts

3 → 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 (0.2%)

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)

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite60.0ms (2%)

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)))))))

simplify63.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

252×	`fma-def_binary64`
185×	`fma-neg_binary64`
41×	`cancel-sign-sub-inv_binary64`
33×	`sub-neg_binary64`
32×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	210
1	45	174
2	86	174
3	166	174
4	243	174
5	349	174
6	521	174
7	788	174
8	919	174
9	957	174
10	961	174

Stop Event

1×

saturated

Counts

71 → 60

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)

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

localize6.0ms (0.2%)

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)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite295.0ms (10%)

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)))))))

simplify33.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

241×	`fma-def_binary64`
190×	`fma-neg_binary64`
49×	`distribute-rgt-in_binary64`
41×	`unsub-neg_binary64`
35×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	214
1	43	174
2	106	174
3	226	174
4	378	174
5	712	174
6	952	174
7	1021	174
8	1022	174

Stop Event

1×

saturated

Counts

45 → 32

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)

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

eval57.0ms (1.9%)

Compiler: Compiled 1113 to 430 computations (61.4% saved)

prune14.0ms (0.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	87	5	92
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	88	6	94

Error

Counts

94 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	25.0b	(-.f64 x (*.f64 y x))
	38.2b	y
	33.1b	x
✓	0.0b	(-.f64 (+.f64 x y) (*.f64 x y))
▶	30.9b	(*.f64 y (-.f64 1 x))
▶	30.9b	(-.f64 y (*.f64 y x))

Compiler

Compiled 36 to 22 computations (38.9% saved)

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

series4.0ms (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))

rewrite344.0ms (11.7%)

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))))))))

simplify20.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

133×	`fma-def_binary64`
90×	`fma-neg_binary64`
22×	`cancel-sign-sub-inv_binary64`
21×	`associate-r_binary64`
17×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	94
1	13	76
2	30	76
3	46	76
4	64	76
5	128	76
6	253	76
7	359	76
8	457	76
9	533	76

Stop Event

1×

saturated

Counts

29 → 22

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)))

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

localize5.0ms (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	@	0	(-.f64 x (*.f64 y x))
0.0ms	y	@	-inf	(-.f64 x (*.f64 y x))

rewrite57.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

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

Outputs

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

simplify27.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

145×	`fma-def_binary64`
71×	`fma-neg_binary64`
21×	`cancel-sign-sub-inv_binary64`
20×	`associate-r_binary64`
18×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	160
1	27	160
2	49	160
3	88	160
4	136	160
5	223	160
6	371	160
7	451	160
8	519	160
9	525	160

Stop Event

1×

saturated

Counts

64 → 48

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)))

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

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 4 computations (66.7% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite57.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify23.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

124×	`fma-def_binary64`
69×	`fma-neg_binary64`
20×	`cancel-sign-sub-inv_binary64`
18×	`associate-r_binary64`
18×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	160
1	33	160
2	51	160
3	88	160
4	122	160
5	201	160
6	341	160
7	419	160
8	489	160
9	495	160

Stop Event

1×

saturated

Counts

62 → 44

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)))

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

eval179.0ms (6.1%)

Compiler: Compiled 1237 to 429 computations (65.3% saved)

prune45.0ms (1.5%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	111	3	114
Fresh	2	0	2
Picked	0	1	1
Done	0	3	3
Total	113	7	120

Error

Counts

120 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	25.0b	(-.f64 x (*.f64 y x))
✓	0.0b	(-.f64 (+.f64 x y) (*.f64 x y))
	33.1b	x
✓	30.9b	(*.f64 y (-.f64 1 x))
▶	54.6b	(*.f64 y (neg.f64 x))
✓	30.9b	(-.f64 y (*.f64 y x))
	38.2b	y

Compiler

Compiled 42 to 26 computations (38.1% saved)

localize10.0ms (0.3%)

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

eval0.0ms (0%)

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

prune7.0ms (0.2%)

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
✓	25.0b	(-.f64 x (*.f64 y x))
✓	0.0b	(-.f64 (+.f64 x y) (*.f64 x y))
	33.1b	x
✓	30.9b	(*.f64 y (-.f64 1 x))
✓	54.6b	(*.f64 y (neg.f64 x))
✓	30.9b	(-.f64 y (*.f64 y x))
	38.2b	y

Compiler

Compiled 42 to 26 computations (38.1% saved)

eval0.0ms (0%)

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

prune5.0ms (0.2%)

Pruning

7 alts after pruning (2 fresh and 5 done)

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

Error

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	25.0b	(-.f64 x (*.f64 y x))
✓	0.0b	(-.f64 (+.f64 x y) (*.f64 x y))
	33.1b	x
✓	30.9b	(*.f64 y (-.f64 1 x))
✓	54.6b	(*.f64 y (neg.f64 x))
✓	30.9b	(-.f64 y (*.f64 y x))
	38.2b	y

Compiler

Compiled 42 to 26 computations (38.1% saved)

regimes51.0ms (1.7%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

3 calls:

17.0ms	x
15.0ms	(-.f64 (+.f64 x y) (*.f64 x y))
15.0ms	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 53 to 25 computations (52.8% saved)

regimes59.0ms (2%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

2 calls:

33.0ms	x
23.0ms	y

Results

Error	Segments	Branch
7.2b	4	`x`
6.8b	2	`y`

Compiler

Compiled 31 to 14 computations (54.8% saved)

bsearch33.0ms (1.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
33.0ms	3.3373549306948597e-115	1.6039200415406324e-114

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes107.0ms (3.6%)

Counts

6 → 5

Calls

Call 1

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

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

Calls

2 calls:

71.0ms	y
34.0ms	x

Results

Error	Segments	Branch
7.4b	5	`x`
11.7b	2	`y`

Compiler

Compiled 21 to 10 computations (52.4% saved)

bsearch174.0ms (5.9%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
15.0ms	2.5897465191103536e-20	64655.44249679565
125.0ms	-4.952145043378303e-145	-9.811708209461792e-151
16.0ms	-2.626060284484804e-50	-7.868235348441711e-53
18.0ms	-2.0829773203233573e-14	-4.911821993540799e-21

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes51.0ms (1.7%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

2 calls:

30.0ms	x
19.0ms	y

Results

Error	Segments	Branch
12.4b	7	`x`
12.3b	3	`y`

Compiler

Compiled 16 to 8 computations (50% saved)

bsearch62.0ms (2.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	3.3373549306948597e-115	1.6039200415406324e-114
46.0ms	-4.7534512443807326e+27	-1.0305883528108652e-5

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes24.0ms (0.8%)

Accuracy

Total -47.4b remaining (-328.1%)

Threshold costs -47.4b (-328.1%)

Counts

4 → 2

Calls

Call 1

Inputs
x
y
y
x

Outputs
x
y

Calls

2 calls:

14.0ms	x
8.0ms	y

Results

Error	Segments	Branch
15.4b	4	`x`
14.5b	2	`y`

Compiler

Compiled 12 to 6 computations (50% saved)

bsearch43.0ms (1.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
42.0ms	3.3373549306948597e-115	1.6039200415406324e-114

Compiler

Compiled 14 to 9 computations (35.7% saved)

simplify8.0ms (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	33	105
1	53	105
2	64	105
3	69	105
4	71	105

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (+.f64 x y) (*.f64 x y))
(if (<=.f64 y 925338287486231/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824) (-.f64 x (.f64 y x)) (.f64 y (-.f64 1 x)))
(if (<=.f64 x -1650304656481058/79228162514264337593543950336) (-.f64 x (.f64 y x)) (if (<=.f64 x -707984452144327552/26959946667150639794667015087019630673637144422540572481103610249216) y (if (<=.f64 x -3481136507536463/7029552803973744348141466418259346654483901747346744739219930582205996219799199797373501072037329464296751422864876398630012915711709843264075804970101818523648) (-.f64 x (.f64 y x)) (if (<=.f64 x 8812450752481325056/340282366920938463463374607431768211456) y (*.f64 y (neg.f64 x))))))
(if (<=.f64 y -4753451244380732577424605184) (*.f64 y (neg.f64 x)) (if (<=.f64 y 925338287486231/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824) x y))
(if (<=.f64 y 925338287486231/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824) x y)
x

Outputs
(-.f64 (+.f64 x y) (*.f64 x y))
(if (<=.f64 y 925338287486231/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824) (-.f64 x (.f64 y x)) (.f64 y (-.f64 1 x)))
(if (<=.f64 y 925338287486231/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824) (-.f64 x (.f64 x y)) (.f64 y (-.f64 1 x)))
(if (<=.f64 x -1650304656481058/79228162514264337593543950336) (-.f64 x (.f64 y x)) (if (<=.f64 x -707984452144327552/26959946667150639794667015087019630673637144422540572481103610249216) y (if (<=.f64 x -3481136507536463/7029552803973744348141466418259346654483901747346744739219930582205996219799199797373501072037329464296751422864876398630012915711709843264075804970101818523648) (-.f64 x (.f64 y x)) (if (<=.f64 x 8812450752481325056/340282366920938463463374607431768211456) y (*.f64 y (neg.f64 x))))))
(if (<=.f64 x -825152328240529/39614081257132168796771975168) (-.f64 x (.f64 x y)) (if (<=.f64 x -5531128532377559/210624583337114373395836055367340864637790190801098222508621955072) y (if (<=.f64 x -3481136507536463/7029552803973744348141466418259346654483901747346744739219930582205996219799199797373501072037329464296751422864876398630012915711709843264075804970101818523648) (-.f64 x (.f64 x y)) (if (<=.f64 x 2151477234492511/83076749736557242056487941267521536) y (*.f64 y (neg.f64 x))))))
(if (<=.f64 x -825152328240529/39614081257132168796771975168) (-.f64 x (.f64 x y)) (if (<=.f64 x -5531128532377559/210624583337114373395836055367340864637790190801098222508621955072) y (if (<=.f64 x -3481136507536463/7029552803973744348141466418259346654483901747346744739219930582205996219799199797373501072037329464296751422864876398630012915711709843264075804970101818523648) (-.f64 x (.f64 x y)) (if (<=.f64 x 2151477234492511/83076749736557242056487941267521536) y (*.f64 x (neg.f64 y))))))
(if (<=.f64 y -4753451244380732577424605184) (*.f64 y (neg.f64 x)) (if (<=.f64 y 925338287486231/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824) x y))
(if (<=.f64 y -4753451244380732577424605184) (*.f64 x (neg.f64 y)) (if (<=.f64 y 925338287486231/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824) x y))
(if (<=.f64 y 925338287486231/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824) x y)
x

Compiler

Compiled 86 to 50 computations (41.9% saved)

soundness0.0ms (0%)

end75.0ms (2.6%)

Remove: (sort x y)
Compiler: Compiled 94 to 45 computations (52.1% 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	19	210
1	45	174
2	86	174
3	166	174
4	243	174
5	349	174
6	521	174
7	788	174
8	919	174
9	957	174
10	961	174

Iter	Nodes	Cost
0	14	160
1	27	160
2	49	160
3	88	160
4	136	160
5	223	160
6	371	160
7	451	160
8	519	160
9	525	160

Iter	Nodes	Cost
0	13	160
1	33	160
2	51	160
3	88	160
4	122	160
5	201	160
6	341	160
7	419	160
8	489	160
9	495	160

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	19	210
1	45	174
2	86	174
3	166	174
4	243	174
5	349	174
6	521	174
7	788	174
8	919	174
9	957	174
10	961	174

Iter	Nodes	Cost
0	14	160
1	27	160
2	49	160
3	88	160
4	136	160
5	223	160
6	371	160
7	451	160
8	519	160
9	525	160

Iter	Nodes	Cost
0	13	160
1	33	160
2	51	160
3	88	160
4	122	160
5	201	160
6	341	160
7	419	160
8	489	160
9	495	160

Details

analyze63.0ms (2.1%)

sample789.0ms (26.8%)

preprocess41.0ms (1.4%)

simplify27.0ms (0.9%)

eval1.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.2%)

series4.0ms (0.1%)

rewrite60.0ms (2%)

simplify63.0ms (2.2%)

localize6.0ms (0.2%)

series3.0ms (0.1%)

rewrite295.0ms (10%)

simplify33.0ms (1.1%)

eval57.0ms (1.9%)

prune14.0ms (0.5%)

localize8.0ms (0.3%)

series4.0ms (0.1%)

rewrite344.0ms (11.7%)

simplify20.0ms (0.7%)

localize5.0ms (0.2%)

series2.0ms (0.1%)

rewrite57.0ms (1.9%)

simplify27.0ms (0.9%)

localize5.0ms (0.2%)

series2.0ms (0.1%)

rewrite57.0ms (1.9%)

simplify23.0ms (0.8%)

eval179.0ms (6.1%)

prune45.0ms (1.5%)

localize10.0ms (0.3%)

eval0.0ms (0%)

prune7.0ms (0.2%)

eval0.0ms (0%)

prune5.0ms (0.2%)

regimes51.0ms (1.7%)

regimes59.0ms (2%)

bsearch33.0ms (1.1%)

regimes107.0ms (3.6%)

bsearch174.0ms (5.9%)

regimes51.0ms (1.7%)

bsearch62.0ms (2.1%)

regimes24.0ms (0.8%)

bsearch43.0ms (1.4%)

simplify8.0ms (0.3%)

soundness0.0ms (0%)

end75.0ms (2.6%)

Profiling

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

Iter	Nodes	Cost
0	19	210
1	45	174
2	86	174
3	166	174
4	243	174
5	349	174
6	521	174
7	788	174
8	919	174
9	957	174
10	961	174

Iter	Nodes	Cost
0	14	160
1	27	160
2	49	160
3	88	160
4	136	160
5	223	160
6	371	160
7	451	160
8	519	160
9	525	160

Iter	Nodes	Cost
0	13	160
1	33	160
2	51	160
3	88	160
4	122	160
5	201	160
6	341	160
7	419	160
8	489	160
9	495	160