Details

analyze84.0ms (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)

sample771.0ms (55.3%)

Results

742.0ms	8254×	body	256	valid
16.0ms	221×	body	256	infinite
0.0ms	2×	body	1024	valid

Bogosity

preprocess62.0ms (4.4%)

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)

simplify39.0ms (2.8%)

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

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 (0.6%)

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)

rewrite50.0ms (3.6%)

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))))))))

simplify63.0ms (4.5%)

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 (0.3%)

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

prune26.0ms (1.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	24	3	27
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	26	3	29

Error

Counts

29 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(-.f64 (+.f64 (*.f64 y x) y) x)
▶	24.8b	(-.f64 (*.f64 y x) x)
▶	10.4b	(-.f64 y x)

Compiler

Compiled 21 to 12 computations (42.9% saved)

localize3.0ms (0.2%)

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

localize4.0ms (0.3%)

Compiler: Compiled 12 to 4 computations (66.7% saved)

localize6.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 5 computations (73.7% saved)

series2.0ms (0.1%)

Counts

1 → 21

Calls

6 calls:

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

rewrite53.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1466×	`add-sqr-sqrt`
1450×	`*-un-lft-identity`
1354×	`add-cube-cbrt`
1340×	`add-cbrt-cube`
1328×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	131	9
2	1787	9

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

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

Outputs

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

simplify82.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

1384×	`associate-r`
1230×	`associate-l`
824×	`associate-+r+`
634×	`associate-*r/`
572×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	100	1236
1	242	1002
2	902	1002
3	5180	1002

Stop Event

1×	node limit

Counts

60 → 52

Calls

Call 1

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

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

eval10.0ms (0.7%)

Compiler: Compiled 699 to 286 computations (59.1% saved)

prune9.0ms (0.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

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

Error

Counts

55 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(-.f64 (+.f64 (*.f64 y x) y) x)
✓	24.8b	(-.f64 (*.f64 y x) x)
✓	10.4b	(-.f64 y x)

Compiler

Compiled 21 to 12 computations (42.9% saved)

regimes13.0ms (0.9%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 45 to 22 computations (51.1% saved)

regimes12.0ms (0.9%)

Counts

3 → 1

Calls

Call 1

Inputs
(-.f64 y 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	(-.f64 (*.f64 (+.f64 x 1) y) x)
3.0ms	x
3.0ms	y

Results

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

Compiler

Compiled 32 to 19 computations (40.6% saved)

regimes25.0ms (1.8%)

Accuracy

Total -34.0b remaining (-5649.8%)

Threshold costs -34.0b (-5649.8%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

2 calls:

16.0ms	y
9.0ms	x

Results

Error	Segments	Branch
0.6b	3	`x`
6.9b	5	`y`

Compiler

Compiled 16 to 9 computations (43.8% saved)

bsearch28.0ms (2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	1.637280015442867e-9	0.0009172514799289019
14.0ms	-41160812267.69438	-1828570.6948572267

Results

23.0ms

272×

body

256

valid

Compiler

Compiled 252 to 163 computations (35.3% saved)

simplify6.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

14×	`+-commutative`
10×	`sub-neg`
6×	`*-commutative`
2×	`1-exp`
2×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	90
1	39	90
2	46	90
3	48	90
4	49	90

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(-.f64 (+.f64 (*.f64 y x) y) x)
(-.f64 (*.f64 (+.f64 x 1) y) x)
(if (<=.f64 x -1850000) (-.f64 (.f64 y x) x) (if (<=.f64 x 4150517416584649/4611686018427387904) (-.f64 y x) (-.f64 (.f64 y x) x)))
(-.f64 y x)

Outputs
(-.f64 (+.f64 (*.f64 y x) y) x)
(-.f64 (+.f64 y (*.f64 y x)) x)
(-.f64 (*.f64 (+.f64 x 1) y) x)
(-.f64 (*.f64 y (+.f64 x 1)) x)
(if (<=.f64 x -1850000) (-.f64 (.f64 y x) x) (if (<=.f64 x 4150517416584649/4611686018427387904) (-.f64 y x) (-.f64 (.f64 y x) x)))
(if (or (<=.f64 x -1850000) (not (<=.f64 x 4150517416584649/4611686018427387904))) (-.f64 (*.f64 y x) x) (-.f64 y x))
(-.f64 y x)

Compiler

Compiled 42 to 26 computations (38.1% saved)

soundness0.0ms (0%)

end27.0ms (1.9%)

Compiler: Compiled 36 to 18 computations (50% saved)

Details

analyze84.0ms (6%)

sample771.0ms (55.3%)

preprocess62.0ms (4.4%)

simplify39.0ms (2.8%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize8.0ms (0.6%)

series2.0ms (0.1%)

rewrite50.0ms (3.6%)

simplify63.0ms (4.5%)

localize5.0ms (0.3%)

eval4.0ms (0.3%)

prune26.0ms (1.9%)

localize3.0ms (0.2%)

localize4.0ms (0.3%)

localize6.0ms (0.4%)

series2.0ms (0.1%)

rewrite53.0ms (3.8%)

simplify82.0ms (5.9%)

eval10.0ms (0.7%)

prune9.0ms (0.6%)

regimes13.0ms (0.9%)

regimes12.0ms (0.9%)

regimes25.0ms (1.8%)

bsearch28.0ms (2%)

simplify6.0ms (0.4%)

soundness0.0ms (0%)

end27.0ms (1.9%)

Profiling