Details

analyze99.0ms (5.6%)

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
53.3%	50%	43.7%	0.1%	6.2%	0%	0%	7
63.3%	59.3%	34.3%	0.1%	6.2%	0%	0%	8
74.1%	67.1%	23.4%	0.1%	9.4%	0%	0%	9
80.2%	72.6%	18%	0.1%	9.4%	0%	0%	10
86.4%	76.9%	12.1%	0.1%	10.9%	0%	0%	11
89.7%	79.8%	9.2%	0.1%	10.9%	0%	0%	12

Compiler

Compiled 8 to 6 computations (25% saved)

sample1.0s (59%)

Results

1.0s	8256×	body	256	valid
13.0ms	176×	body	256	infinite

Bogosity

preprocess59.0ms (3.4%)

Algorithm

2×	egg-herbie

Rules

288×	`fma-def`
208×	`associate-+r+`
196×	`associate-+l+`
132×	`associate-+l-`
120×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	18	26
2	37	26
3	69	26
4	134	26
5	248	26
6	349	26
7	499	26
8	1037	26
9	1174	26
10	1198	26
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify26.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

182×	`fma-def`
114×	`associate-+r+`
114×	`distribute-lft-in`
102×	`associate-r`
82×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	13	13
2	23	13
3	45	13
4	89	13
5	180	13
6	247	13
7	333	13
8	630	13
9	705	13
10	787	13
11	791	13

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 12 to 7 computations (41.7% saved)

prune1.0ms (0.1%)

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

Accurracy

100.0%

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x (neg.f64 y) x)
▶	100.0%	(*.f64 x (-.f64 1 y))

Compiler

Compiled 14 to 9 computations (35.7% saved)

localize5.0ms (0.3%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(*.f64 x (-.f64 1 y))

Compiler

Compiled 13 to 8 computations (38.5% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite51.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1448×	`add-sqr-sqrt`
1432×	`*-un-lft-identity`
1332×	`add-cube-cbrt`
1316×	`add-cbrt-cube`
1306×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	142	13
2	1752	13

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

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

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

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

simplify54.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

906×	`*-commutative`
840×	`fma-def`
654×	`distribute-lft-neg-out`
634×	`distribute-rgt-neg-out`
556×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	618
1	142	618
2	421	618
3	2132	618
4	4693	618

Stop Event

1×	node limit

Counts

42 → 36

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

localize5.0ms (0.3%)

Compiler: Compiled 11 to 4 computations (63.6% saved)

eval6.0ms (0.3%)

Compiler: Compiled 321 to 194 computations (39.6% saved)

prune15.0ms (0.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	33	3	36
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	34	4	38

Accurracy

100.0%

Counts

38 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 x (*.f64 y x))
▶	41.6%	(*.f64 y (neg.f64 x))
✓	100.0%	(*.f64 x (-.f64 1 y))
	60.0%	x

Compiler

Compiled 23 to 15 computations (34.8% saved)

localize4.0ms (0.2%)

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

localize9.0ms (0.5%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(-.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	@	-inf	(-.f64 x (*.f64 y x))
0.0ms	x	@	0	(-.f64 x (*.f64 y x))
0.0ms	y	@	inf	(-.f64 x (*.f64 y x))
0.0ms	y	@	-inf	(-.f64 x (*.f64 y x))

rewrite55.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1514×	`add-sqr-sqrt`
1498×	`*-un-lft-identity`
1400×	`add-cube-cbrt`
1386×	`add-cbrt-cube`
1374×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	133	13
2	1861	13

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

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

Outputs

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

simplify85.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

1156×	`associate-+l+`
1064×	`associate-*r/`
882×	`fma-def`
684×	`times-frac`
538×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	119	1289
1	311	1179
2	1304	1079
3	5707	1079

Stop Event

1×	node limit

Counts

65 → 54

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

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

eval9.0ms (0.5%)

Compiler: Compiled 638 to 212 computations (66.8% saved)

prune7.0ms (0.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	54	4	58

Accurracy

100.0%

Counts

58 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 x (*.f64 y x))
✓	41.6%	(*.f64 y (neg.f64 x))
✓	100.0%	(*.f64 x (-.f64 1 y))
	60.0%	x

Compiler

Compiled 23 to 15 computations (34.8% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	3	3
Total	4	4

Accurracy

100.0%

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 x (*.f64 y x))
✓	41.6%	(*.f64 y (neg.f64 x))
✓	100.0%	(*.f64 x (-.f64 1 y))
	60.0%	x

Compiler

Compiled 23 to 15 computations (34.8% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	3	3
Total	4	4

Accurracy

100.0%

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 x (*.f64 y x))
✓	41.6%	(*.f64 y (neg.f64 x))
✓	100.0%	(*.f64 x (-.f64 1 y))
	60.0%	x

Compiler

Compiled 23 to 15 computations (34.8% saved)

regimes52.0ms (3%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

41.0ms	x
4.0ms	(*.f64 x (-.f64 1 y))
4.0ms	y
3.0ms	(-.f64 1 y)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(*.f64 x (-.f64 1 y))`
100.0%	1	`(-.f64 1 y)`

Compiler

Compiled 40 to 24 computations (40% saved)

regimes18.0ms (1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	(*.f64 x (-.f64 1 y))
3.0ms	y
3.0ms	x
3.0ms	(-.f64 1 y)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(*.f64 x (-.f64 1 y))`
100.0%	1	`(-.f64 1 y)`

Compiler

Compiled 35 to 22 computations (37.1% saved)

regimes31.0ms (1.8%)

Accuracy

Total -59.9b remaining (-3922.4%)

Threshold costs -59.9b (-3922.4%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

2 calls:

20.0ms	x
8.0ms	y

Results

Accuracy	Segments	Branch
72.6%	7	`x`
97.6%	3	`y`

Compiler

Compiled 13 to 8 computations (38.5% saved)

bsearch42.0ms (2.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
26.0ms	0.0008984906802366889	1640.114871858954
16.0ms	-173.40717031922867	-2.933675090182843e-9

Results

37.0ms

304×

body

256

valid

Compiler

Compiled 221 to 161 computations (27.1% saved)

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative`
8×	`+-commutative`
6×	`sub-neg`
6×	`neg-mul-1`
6×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	64
1	37	64
2	46	64
3	51	64
4	52	64

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 x (neg.f64 y) x)
(*.f64 x (-.f64 1 y))
(if (<=.f64 y -1) (.f64 y (neg.f64 x)) (if (<=.f64 y 1) x (.f64 y (neg.f64 x))))
x

Outputs
(fma.f64 x (neg.f64 y) x)
(*.f64 x (-.f64 1 y))
(if (<=.f64 y -1) (.f64 y (neg.f64 x)) (if (<=.f64 y 1) x (.f64 y (neg.f64 x))))
(if (or (<=.f64 y -1) (not (<=.f64 y 1))) (neg.f64 (*.f64 y x)) x)
(if (or (<=.f64 y -1) (not (<=.f64 y 1))) (*.f64 y (neg.f64 x)) x)
x

Compiler

Compiled 33 to 22 computations (33.3% saved)

soundness45.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

182×	`fma-def`
114×	`associate-+r+`
114×	`distribute-lft-in`
102×	`associate-r`
82×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	13	13
2	23	13
3	45	13
4	89	13
5	180	13
6	247	13
7	333	13
8	630	13
9	705	13
10	787	13
11	791	13

Stop Event

1×

saturated

Compiler

Compiled 40 to 18 computations (55% saved)

end28.0ms (1.6%)

Compiler: Compiled 27 to 16 computations (40.7% saved)

Iter	Nodes	Cost
0	7	13
1	13	13
2	23	13
3	45	13
4	89	13
5	180	13
6	247	13
7	333	13
8	630	13
9	705	13
10	787	13
11	791	13

Iter	Nodes	Cost
0	7	13
1	13	13
2	23	13
3	45	13
4	89	13
5	180	13
6	247	13
7	333	13
8	630	13
9	705	13
10	787	13
11	791	13

Iter	Nodes	Cost
0	7	13
1	13	13
2	23	13
3	45	13
4	89	13
5	180	13
6	247	13
7	333	13
8	630	13
9	705	13
10	787	13
11	791	13

Iter	Nodes	Cost
0	7	13
1	13	13
2	23	13
3	45	13
4	89	13
5	180	13
6	247	13
7	333	13
8	630	13
9	705	13
10	787	13
11	791	13

Details

analyze99.0ms (5.6%)

sample1.0s (59%)

preprocess59.0ms (3.4%)

simplify26.0ms (1.5%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize5.0ms (0.3%)

series2.0ms (0.1%)

rewrite51.0ms (2.9%)

simplify54.0ms (3.1%)

localize5.0ms (0.3%)

eval6.0ms (0.3%)

prune15.0ms (0.9%)

localize4.0ms (0.2%)

localize9.0ms (0.5%)

series2.0ms (0.1%)

rewrite55.0ms (3.1%)

simplify85.0ms (4.8%)

eval9.0ms (0.5%)

prune7.0ms (0.4%)

eval0.0ms (0%)

prune2.0ms (0.1%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes52.0ms (3%)

regimes18.0ms (1%)

regimes31.0ms (1.8%)

bsearch42.0ms (2.4%)

simplify6.0ms (0.3%)

soundness45.0ms (2.6%)

end28.0ms (1.6%)

Profiling

Iter	Nodes	Cost
0	7	13
1	13	13
2	23	13
3	45	13
4	89	13
5	180	13
6	247	13
7	333	13
8	630	13
9	705	13
10	787	13
11	791	13

Iter	Nodes	Cost
0	7	13
1	13	13
2	23	13
3	45	13
4	89	13
5	180	13
6	247	13
7	333	13
8	630	13
9	705	13
10	787	13
11	791	13