Details

analyze54.0ms (3.8%)

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)

sample699.0ms (49.3%)

Results

672.0ms	8255×	body	256	valid
16.0ms	214×	body	256	infinite
0.0ms	1×	body	1024	valid

Bogosity

preprocess63.0ms (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

2 alts after pruning (2 fresh and 0 done)

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

Error

Counts

4 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize7.0ms (0.5%)

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

rewrite49.0ms (3.5%)

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

simplify65.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

1018×	`associate-/r*`
976×	`+-commutative`
884×	`fma-def`
832×	`associate--r-`
800×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	60	464
1	135	456
2	392	448
3	2053	448
4	3744	448
5	6180	448

Stop Event

1×	node limit

Counts

44 → 28

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

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

eval5.0ms (0.4%)

Compiler: Compiled 277 to 162 computations (41.5% saved)

prune5.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	26	2	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	26	3	29

Error

Counts

29 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(-.f64 (*.f64 (+.f64 x 1) y) x)
▶	25.1b	(-.f64 (*.f64 y x) x)
▶	8.7b	(-.f64 y x)

Compiler

Compiled 21 to 13 computations (38.1% saved)

localize3.0ms (0.2%)

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

localize5.0ms (0.3%)

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)

rewrite51.0ms (3.6%)

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))))))

simplify60.0ms (4.2%)

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))

eval9.0ms (0.6%)

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

prune10.0ms (0.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	53	2	55
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	53	5	58

Error

Counts

58 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(-.f64 (*.f64 (+.f64 x 1) y) x)
✓	25.1b	(-.f64 (*.f64 y x) x)
✓	8.7b	(-.f64 y x)
▶	53.8b	(*.f64 y x)
▶	33.5b	(neg.f64 x)

Compiler

Compiled 30 to 19 computations (36.7% saved)

localize2.0ms (0.2%)

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

localize3.0ms (0.2%)

Compiler: Compiled 7 to 3 computations (57.1% 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
✓	0b	(-.f64 (*.f64 (+.f64 x 1) y) x)
✓	25.1b	(-.f64 (*.f64 y x) x)
✓	8.7b	(-.f64 y x)
✓	53.8b	(*.f64 y x)
✓	33.5b	(neg.f64 x)

Compiler

Compiled 30 to 19 computations (36.7% saved)

regimes40.0ms (2.9%)

Counts

5 → 1

Calls

Call 1

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

31.0ms	y
4.0ms	x
4.0ms	(-.f64 (*.f64 (+.f64 x 1) y) x)

Results

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

Compiler

Compiled 37 to 20 computations (45.9% saved)

regimes22.0ms (1.5%)

Counts

4 → 3

Calls

Call 1

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

11.0ms	y
10.0ms	x

Results

Error	Segments	Branch
0.5b	3	`x`
6.9b	3	`y`

Compiler

Compiled 21 to 10 computations (52.4% saved)

bsearch30.0ms (2.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	9.793874583476481e-10	195.52008318815965
16.0ms	-348218686315.29297	-33295.79211877295

Results

24.0ms	304×	body	256	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 280 to 181 computations (35.4% saved)

regimes63.0ms (4.5%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

59.0ms	y
3.0ms	x

Results

Error	Segments	Branch
8.7b	1	`x`
7.0b	3	`y`

Compiler

Compiled 16 to 9 computations (43.8% saved)

bsearch30.0ms (2.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	1.0679499383659541e+86	3.2406161004790486e+96
14.0ms	3.7804065516039094e+22	2.7630839900933747e+29

Results

25.0ms	304×	body	256	valid
2.0ms	20×	body	256	infinite

Compiler

Compiled 242 to 162 computations (33.1% saved)

regimes27.0ms (1.9%)

Accuracy

Total -36.3b remaining (-141.8%)

Threshold costs -36.3b (-141.8%)

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:

19.0ms	y
8.0ms	x

Results

Error	Segments	Branch
32.4b	3	`x`
25.6b	3	`y`

Compiler

Compiled 13 to 8 computations (38.5% saved)

bsearch29.0ms (2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
11.0ms	83330.93190302396	5841728.580347336
17.0ms	-4.3223953151918557e-7	-2.922849793940549e-22

Results

25.0ms

272×

body

256

valid

Compiler

Compiled 201 to 146 computations (27.4% saved)

simplify7.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative`
8×	`sub-neg`
6×	`if-if-or-not`
6×	`*-commutative`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	145
1	55	145
2	60	145
3	61	145

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(-.f64 (*.f64 (+.f64 x 1) y) x)
(if (<=.f64 x -34000) (-.f64 (.f64 y x) x) (if (<=.f64 x 1) (-.f64 y x) (-.f64 (.f64 y x) x)))
(if (<=.f64 y 5200000000000000179046449152) (-.f64 y x) (if (<=.f64 y 510000000000000027007400221755061891809950525779510161573632110643130869988354191913910272) (*.f64 y x) (-.f64 y x)))
(if (<=.f64 y -4061235175267895/9444732965739290427392) (.f64 y x) (if (<=.f64 y 85000) (neg.f64 x) (.f64 y x)))
(neg.f64 x)

Outputs
(-.f64 (*.f64 (+.f64 x 1) y) x)
(if (<=.f64 x -34000) (-.f64 (.f64 y x) x) (if (<=.f64 x 1) (-.f64 y x) (-.f64 (.f64 y x) x)))
(if (or (<=.f64 x -34000) (not (<=.f64 x 1))) (-.f64 (*.f64 x y) x) (-.f64 y x))
(if (<=.f64 y 5200000000000000179046449152) (-.f64 y x) (if (<=.f64 y 510000000000000027007400221755061891809950525779510161573632110643130869988354191913910272) (*.f64 y x) (-.f64 y x)))
(if (<=.f64 y 5200000000000000179046449152) (-.f64 y x) (if (<=.f64 y 510000000000000027007400221755061891809950525779510161573632110643130869988354191913910272) (*.f64 x y) (-.f64 y x)))
(if (<=.f64 y -4061235175267895/9444732965739290427392) (.f64 y x) (if (<=.f64 y 85000) (neg.f64 x) (.f64 y x)))
(if (<=.f64 y -4061235175267895/9444732965739290427392) (.f64 x y) (if (<=.f64 y 85000) (neg.f64 x) (.f64 x y)))
(neg.f64 x)

Compiler

Compiled 69 to 41 computations (40.6% saved)

soundness0.0ms (0%)

end35.0ms (2.4%)

Compiler: Compiled 61 to 29 computations (52.5% saved)

Details

analyze54.0ms (3.8%)

sample699.0ms (49.3%)

preprocess63.0ms (4.4%)

simplify39.0ms (2.8%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize7.0ms (0.5%)

series2.0ms (0.1%)

rewrite49.0ms (3.5%)

simplify65.0ms (4.6%)

eval5.0ms (0.4%)

prune5.0ms (0.3%)

localize3.0ms (0.2%)

localize5.0ms (0.3%)

series2.0ms (0.1%)

rewrite51.0ms (3.6%)

simplify60.0ms (4.2%)

eval9.0ms (0.6%)

prune10.0ms (0.7%)

localize2.0ms (0.2%)

localize3.0ms (0.2%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes40.0ms (2.9%)

regimes22.0ms (1.5%)

bsearch30.0ms (2.1%)

regimes63.0ms (4.5%)

bsearch30.0ms (2.1%)

regimes27.0ms (1.9%)

bsearch29.0ms (2%)

simplify7.0ms (0.5%)

soundness0.0ms (0%)

end35.0ms (2.4%)

Profiling