Details

analyze70.0ms (3.6%)

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
51.6%	50%	46.8%	0.1%	3.1%	0%	0%	7
62.3%	59.3%	35.9%	0.1%	4.7%	0%	0%	8
72.3%	67.1%	25.8%	0.1%	7%	0%	0%	9
79.1%	72.6%	19.1%	0.1%	8.2%	0%	0%	10
85.1%	76.9%	13.5%	0.1%	9.6%	0%	0%	11
89%	79.8%	9.9%	0.1%	10.2%	0%	0%	12

Compiler

Compiled 10 to 7 computations (30% saved)

sample845.0ms (44%)

Results

785.0ms	8256×	body	256	valid
50.0ms	217×	body	256	infinite

Bogosity

preprocess95.0ms (5%)

Algorithm

2×	egg-herbie

Rules

928×	`fma-def`
606×	`associate--r+`
570×	`associate-+r+`
476×	`associate-+l-`
430×	`associate--l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	38
1	25	38
2	48	30
3	110	30
4	248	30
5	573	30
6	1400	30
7	2781	30
8	3076	30
9	3094	30
10	3094	30
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify41.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

520×	`fma-def`
306×	`associate-+l+`
298×	`associate--r+`
272×	`associate-+l-`
232×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	17	19
2	30	15
3	68	15
4	136	15
5	300	15
6	603	15
7	1304	15
8	1839	15
9	1890	15
10	1899	15

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 21 to 10 computations (52.4% saved)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	1	2	3
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	3	4

Error

Counts

4 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 17 to 10 computations (41.2% saved)

localize8.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 12 computations (40% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite59.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1404×	`add-sqr-sqrt`
1388×	`*-un-lft-identity`
1292×	`add-cube-cbrt`
1276×	`add-cbrt-cube`
1264×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	142	13
2	1755	13

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

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

Outputs

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

simplify66.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

1018×	`associate-/r*`
1010×	`+-commutative`
922×	`associate--r-`
880×	`fma-def`
794×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	59	464
1	135	456
2	390	448
3	2032	448
4	3700	448
5	6215	448

Stop Event

1×	node limit

Counts

44 → 27

Calls

Call 1

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

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

localize5.0ms (0.3%)

Compiler: Compiled 13 to 4 computations (69.2% saved)

eval4.0ms (0.2%)

Compiler: Compiled 261 to 125 computations (52.1% saved)

prune6.0ms (0.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	25	2	27
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	25	4	29

Error

Counts

29 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(fma.f64 x y (-.f64 y x))
✓	0.0b	(-.f64 (*.f64 (+.f64 x 1) y) x)
▶	28.4b	(-.f64 (*.f64 y x) x)
▶	9.6b	(-.f64 y x)

Compiler

Compiled 29 to 17 computations (41.4% saved)

localize3.0ms (0.1%)

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

localize4.0ms (0.2%)

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 → 24

Calls

6 calls:

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

rewrite56.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1486×	`add-sqr-sqrt`
1470×	`*-un-lft-identity`
1372×	`add-cube-cbrt`
1358×	`add-cbrt-cube`
1346×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	132	13
2	1802	13

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

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

Outputs

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

simplify62.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1248×	`associate-+l+`
776×	`associate-/l/`
740×	`associate-*r/`
702×	`fma-def`
610×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	110	1273
1	282	1193
2	1186	1193
3	4484	1193

Stop Event

1×	node limit

Counts

63 → 55

Calls

Call 1

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

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

eval34.0ms (1.8%)

Compiler: Compiled 641 to 237 computations (63% saved)

prune9.0ms (0.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	52	3	55
Fresh	0	0	0
Picked	1	0	1
Done	1	2	3
Total	54	5	59

Error

Counts

59 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 (*.f64 (+.f64 x 1) y) x)
✓	9.6b	(-.f64 y x)
▶	28.4b	(*.f64 (-.f64 y 1) x)
▶	53.5b	(*.f64 y x)
▶	37.7b	(neg.f64 x)

Compiler

Compiled 30 to 20 computations (33.3% saved)

localize2.0ms (0.1%)

Compiler: Compiled 5 to 3 computations (40% saved)

localize4.0ms (0.2%)

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

localize5.0ms (0.3%)

Compiler: Compiled 13 to 8 computations (38.5% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	4	4
Total	5	5

Error

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 (*.f64 (+.f64 x 1) y) x)
✓	9.6b	(-.f64 y x)
✓	28.4b	(*.f64 (-.f64 y 1) x)
✓	53.5b	(*.f64 y x)
✓	37.7b	(neg.f64 x)

Compiler

Compiled 30 to 20 computations (33.3% saved)

regimes55.0ms (2.9%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

45.0ms	y
5.0ms	(-.f64 (*.f64 (+.f64 x 1) y) x)
4.0ms	x

Results

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

Compiler

Compiled 48 to 24 computations (50% saved)

regimes16.0ms (0.8%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 42 to 23 computations (45.2% saved)

regimes36.0ms (1.9%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

2 calls:

24.0ms	y
11.0ms	x

Results

Error	Segments	Branch
0.7b	3	`x`
7.0b	5	`y`

Compiler

Compiled 26 to 13 computations (50% saved)

bsearch53.0ms (2.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	0.4879163911500637	3799614.24035554
38.0ms	-3.173112469405271e+27	-2.356833654276846e+23

Results

23.0ms	272×	body	256	valid
0.0ms	2×	body	256	infinite

Compiler

Compiled 252 to 180 computations (28.6% saved)

regimes53.0ms (2.8%)

Counts

3 → 5

Calls

Call 1

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

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

Calls

2 calls:

43.0ms	x
9.0ms	y

Results

Error	Segments	Branch
7.1b	5	`x`
8.1b	3	`y`

Compiler

Compiled 16 to 9 computations (43.8% saved)

bsearch51.0ms (2.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
14.0ms	1.4560789907927963e+69	1.8821239679698904e+76
12.0ms	6.170854480650147e+47	1.2047115378031192e+50
13.0ms	-1.970864814181304e+96	-1.3620935326451608e+94
13.0ms	-2.1183498895212355e+116	-2.002274439484702e+112

Results

41.0ms	496×	body	256	valid
3.0ms	35×	body	256	infinite

Compiler

Compiled 378 to 258 computations (31.7% saved)

regimes23.0ms (1.2%)

Accuracy

Total -32.8b remaining (-112%)

Threshold costs -32.8b (-112%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	x
9.0ms	y

Results

Error	Segments	Branch
35.1b	5	`x`
29.3b	3	`y`

Compiler

Compiled 13 to 8 computations (38.5% saved)

bsearch38.0ms (2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
24.0ms	0.007266659256921969	1.97899294128725
14.0ms	-1995394829104010.0	-23657263284.19393

Results

35.0ms	272×	body	256	valid
1.0ms	6×	body	256	infinite

Compiler

Compiled 201 to 146 computations (27.4% saved)

simplify9.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative`
8×	`sub-neg`
8×	`if-if-or-not`
8×	`*-commutative`
4×	`not-or`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	190
1	65	190
2	73	190
3	77	186
4	78	186
5	79	186

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(fma.f64 x y (-.f64 y x))
(-.f64 (*.f64 (+.f64 x 1) y) x)
(if (<=.f64 x -240000000000000000000000) (.f64 (-.f64 y 1) x) (if (<=.f64 x 1) (-.f64 y x) (.f64 (-.f64 y 1) x)))
(if (<=.f64 x -950000000000000014781445322993500873054791327075008361701282051409292092106517918101736120419295075292395966824448) (neg.f64 x) (if (<=.f64 x -30999999999999999144646510704187055224150377908439869453415278822248904449886018288831573262336) (.f64 y x) (if (<=.f64 x 60000000000000004577861904655132201976978982567936) (-.f64 y x) (if (<=.f64 x 2899999999999999827217280289962567276272529000397617766318028904988672) (.f64 y x) (-.f64 y x)))))
(if (<=.f64 y -24000000000) (.f64 y x) (if (<=.f64 y 1) (neg.f64 x) (.f64 y x)))
(neg.f64 x)

Outputs
(fma.f64 x y (-.f64 y x))
(-.f64 (*.f64 (+.f64 x 1) y) x)
(-.f64 (*.f64 y (+.f64 x 1)) x)
(if (<=.f64 x -240000000000000000000000) (.f64 (-.f64 y 1) x) (if (<=.f64 x 1) (-.f64 y x) (.f64 (-.f64 y 1) x)))
(if (or (<=.f64 x -240000000000000000000000) (not (<=.f64 x 1))) (*.f64 x (+.f64 y -1)) (-.f64 y x))
(if (<=.f64 x -950000000000000014781445322993500873054791327075008361701282051409292092106517918101736120419295075292395966824448) (neg.f64 x) (if (<=.f64 x -30999999999999999144646510704187055224150377908439869453415278822248904449886018288831573262336) (.f64 y x) (if (<=.f64 x 60000000000000004577861904655132201976978982567936) (-.f64 y x) (if (<=.f64 x 2899999999999999827217280289962567276272529000397617766318028904988672) (.f64 y x) (-.f64 y x)))))
(if (<=.f64 x -950000000000000014781445322993500873054791327075008361701282051409292092106517918101736120419295075292395966824448) (neg.f64 x) (if (<=.f64 x -30999999999999999144646510704187055224150377908439869453415278822248904449886018288831573262336) (.f64 x y) (if (<=.f64 x 60000000000000004577861904655132201976978982567936) (-.f64 y x) (if (<=.f64 x 2899999999999999827217280289962567276272529000397617766318028904988672) (.f64 x y) (-.f64 y x)))))
(if (<=.f64 x -950000000000000014781445322993500873054791327075008361701282051409292092106517918101736120419295075292395966824448) (neg.f64 x) (if (or (<=.f64 x -30999999999999999144646510704187055224150377908439869453415278822248904449886018288831573262336) (and (not (<=.f64 x 60000000000000004577861904655132201976978982567936)) (<=.f64 x 2899999999999999827217280289962567276272529000397617766318028904988672))) (*.f64 x y) (-.f64 y x)))
(if (<=.f64 y -24000000000) (.f64 y x) (if (<=.f64 y 1) (neg.f64 x) (.f64 y x)))
(if (<=.f64 y -24000000000) (.f64 x y) (if (<=.f64 y 1) (neg.f64 x) (.f64 x y)))
(neg.f64 x)

Compiler

Compiled 85 to 54 computations (36.5% saved)

soundness155.0ms (8%)

Algorithm

1×	egg-herbie

Rules

520×	`fma-def`
306×	`associate-+l+`
298×	`associate--r+`
272×	`associate-+l-`
232×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	17	19
2	30	15
3	68	15
4	136	15
5	300	15
6	603	15
7	1304	15
8	1839	15
9	1890	15
10	1899	15

Stop Event

1×

saturated

Compiler

Compiled 132 to 69 computations (47.7% saved)

end48.0ms (2.5%)

Compiler: Compiled 75 to 39 computations (48% saved)

Details

analyze70.0ms (3.6%)

sample845.0ms (44%)

preprocess95.0ms (5%)

simplify41.0ms (2.1%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize8.0ms (0.4%)

series2.0ms (0.1%)

rewrite59.0ms (3.1%)

simplify66.0ms (3.4%)

localize5.0ms (0.3%)

eval4.0ms (0.2%)

prune6.0ms (0.3%)

localize3.0ms (0.1%)

localize4.0ms (0.2%)

series2.0ms (0.1%)

rewrite56.0ms (2.9%)

simplify62.0ms (3.2%)

eval34.0ms (1.8%)

prune9.0ms (0.5%)

localize2.0ms (0.1%)

localize4.0ms (0.2%)

localize5.0ms (0.3%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes55.0ms (2.9%)

regimes16.0ms (0.8%)

regimes36.0ms (1.9%)

bsearch53.0ms (2.8%)

regimes53.0ms (2.8%)

bsearch51.0ms (2.6%)

regimes23.0ms (1.2%)

bsearch38.0ms (2%)

simplify9.0ms (0.4%)

soundness155.0ms (8%)

end48.0ms (2.5%)

Profiling