Details

analyze45.0ms (2.9%)

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)

sample939.0ms (60.4%)

Results

861.0ms	8256×	body	256	valid
10.0ms	138×	body	256	infinite

Bogosity

preprocess6.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

32×	`fma-def`
14×	`*-commutative`
12×	`+-commutative`
10×	`associate-r`
10×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	26	18
2	41	18
3	64	18
4	68	18
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify102.0ms (6.5%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative`
16×	`associate-r`
16×	`fma-def`
16×	`associate-l`
6×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	18	9
2	25	9
3	40	9
4	59	9
5	61	9

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 11 to 6 computations (45.5% 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

Error

Counts

3 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

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

rewrite54.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1482×	`add-sqr-sqrt`
1466×	`*-un-lft-identity`
1368×	`add-cube-cbrt`
1348×	`add-cbrt-cube`
1336×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	147	9
2	1871	9

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

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

Outputs

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

simplify48.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

976×	`times-frac`
940×	`associate-r`
816×	`associate-l`
676×	`associate-+r+`
626×	`log-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	72	531
1	191	529
2	661	517
3	3216	507

Stop Event

1×	node limit

Counts

47 → 34

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

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

localize3.0ms (0.2%)

Compiler: Compiled 8 to 3 computations (62.5% saved)

eval7.0ms (0.5%)

Compiler: Compiled 355 to 195 computations (45.1% saved)

prune6.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	31	3	34
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	32	4	36

Error

Counts

36 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 (*.f64 y x) x)
▶	35.7b	(*.f64 y x)
✓	0.0b	(*.f64 x (+.f64 y 1))
	27.1b	x

Compiler

Compiled 22 to 14 computations (36.4% saved)

localize3.0ms (0.2%)

Compiler: Compiled 7 to 3 computations (57.1% saved)

localize6.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 4 computations (66.7% saved)

series2.0ms (0.1%)

Counts

1 → 15

Calls

6 calls:

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

rewrite59.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1496×	`add-sqr-sqrt`
1480×	`*-un-lft-identity`
1382×	`add-cube-cbrt`
1368×	`add-cbrt-cube`
1358×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	133	9
2	1832	9

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

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

Outputs

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

simplify56.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

990×	`associate-+l+`
794×	`*-commutative`
520×	`fma-def`
478×	`distribute-lft-neg-in`
476×	`associate-/l/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	106	1016
1	262	966
2	1047	966
3	3811	956

Stop Event

1×	node limit

Counts

56 → 53

Calls

Call 1

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

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

eval10.0ms (0.6%)

Compiler: Compiled 631 to 243 computations (61.5% saved)

prune7.0ms (0.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	53	0	53
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	53	4	57

Error

Counts

57 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 (*.f64 y x) x)
✓	35.7b	(*.f64 y x)
✓	0.0b	(*.f64 x (+.f64 y 1))
	27.1b	x

Compiler

Compiled 22 to 14 computations (36.4% saved)

eval0.0ms (0%)

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

prune1.0ms (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

Error

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 (*.f64 y x) x)
✓	35.7b	(*.f64 y x)
✓	0.0b	(*.f64 x (+.f64 y 1))
	27.1b	x

Compiler

Compiled 22 to 14 computations (36.4% saved)

eval0.0ms (0%)

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

prune4.0ms (0.2%)

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

Error

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 (*.f64 y x) x)
✓	35.7b	(*.f64 y x)
✓	0.0b	(*.f64 x (+.f64 y 1))
	27.1b	x

Compiler

Compiled 22 to 14 computations (36.4% saved)

regimes17.0ms (1.1%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(fma.f64 x y x)

Calls

4 calls:

5.0ms	y
4.0ms	(*.f64 x (+.f64 y 1))
4.0ms	x
3.0ms	(+.f64 y 1)

Results

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

Compiler

Compiled 38 to 21 computations (44.7% saved)

regimes15.0ms (1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 34 to 20 computations (41.2% saved)

regimes14.0ms (0.9%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes42.0ms (2.7%)

Accuracy

Total -60.1b remaining (-4366.1%)

Threshold costs -60.1b (-4366.1%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(*.f64 y x)

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

Calls

2 calls:

30.0ms	x
11.0ms	y

Results

Error	Segments	Branch
16.5b	11	`x`
1.4b	3	`y`

Compiler

Compiled 12 to 7 computations (41.7% saved)

bsearch28.0ms (1.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	0.27211230428445377	83330.93190302396
15.0ms	-46850.61254902291	-3.2802588220329246e-7

Results

25.0ms

304×

body

256

valid

Compiler

Compiled 202 to 142 computations (29.7% saved)

simplify6.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative`
4×	`*-commutative`
2×	`1-exp`
2×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	69
1	31	69

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 40 to 23 computations (42.5% saved)

soundness14.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative`
16×	`associate-r`
16×	`fma-def`
16×	`associate-l`
6×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	18	9
2	25	9
3	40	9
4	59	9
5	61	9

Stop Event

1×

saturated

Compiler

Compiled 23 to 11 computations (52.2% saved)

end52.0ms (3.3%)

Compiler: Compiled 32 to 14 computations (56.3% saved)

Details

analyze45.0ms (2.9%)

sample939.0ms (60.4%)

preprocess6.0ms (0.4%)

simplify102.0ms (6.5%)

eval0.0ms (0%)

prune1.0ms (0.1%)

localize5.0ms (0.3%)

series2.0ms (0.1%)

rewrite54.0ms (3.5%)

simplify48.0ms (3.1%)

localize3.0ms (0.2%)

eval7.0ms (0.5%)

prune6.0ms (0.4%)

localize3.0ms (0.2%)

localize6.0ms (0.4%)

series2.0ms (0.1%)

rewrite59.0ms (3.8%)

simplify56.0ms (3.6%)

eval10.0ms (0.6%)

prune7.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0.1%)

eval0.0ms (0%)

prune4.0ms (0.2%)

regimes17.0ms (1.1%)

regimes15.0ms (1%)

regimes14.0ms (0.9%)

regimes42.0ms (2.7%)

bsearch28.0ms (1.8%)

simplify6.0ms (0.4%)

soundness14.0ms (0.9%)

end52.0ms (3.3%)

Profiling