Details

analyze3.0ms (0.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
66.7%	50%	25%	0%	25%	0%	0%	4
83.3%	62.5%	12.5%	0%	25%	0%	0%	5
91.7%	68.7%	6.2%	0%	25%	0%	0%	6
95.8%	71.8%	3.1%	0%	25%	0%	0%	7
97.9%	73.4%	1.6%	0%	25%	0%	0%	8
99%	74.2%	0.8%	0%	25%	0%	0%	9
99.5%	74.6%	0.4%	0%	25%	0%	0%	10
99.7%	74.8%	0.2%	0%	25%	0%	0%	11
99.9%	74.9%	0.1%	0%	25%	0%	0%	12

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample1.1s (70.5%)

Results

455.0ms	2737×	body	1024	valid
301.0ms	3840×	body	256	valid
169.0ms	1391×	body	512	valid
63.0ms	288×	body	2048	valid

Bogosity

preprocess59.0ms (4%)

Algorithm

2×	egg-herbie

Rules

891×	`fma-neg_binary64`
852×	`fma-def_binary64`
584×	`distribute-neg-in_binary64`
565×	`distribute-rgt-in_binary64`
563×	`associate--r-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	22	10
2	55	7
3	134	7
4	571	7
5	1967	7
6	5410	7
7	7894	7
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

Outputs
(-.f64 (*.f64 (+.f64 x 1) (+.f64 x 1)) 1)
(fma.f64 (+.f64 x 1) (+.f64 x 1) -1)
(*.f64 (+.f64 x 2) (+.f64 x 0))
(*.f64 x (+.f64 x 2))

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify48.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

891×	`fma-neg_binary64`
852×	`fma-def_binary64`
584×	`distribute-neg-in_binary64`
565×	`distribute-rgt-in_binary64`
563×	`associate--r-_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	22	10
2	55	7
3	134	7
4	571	7
5	1967	7
6	5410	7
7	7894	7

Stop Event

1×	node limit

Counts

1 → 4

Calls

Call 1

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

Outputs
(-.f64 (*.f64 (+.f64 x 1) (+.f64 x 1)) 1)
(fma.f64 (+.f64 x 1) (+.f64 x 1) -1)
(*.f64 (+.f64 x 2) (+.f64 x 0))
(*.f64 x (+.f64 x 2))

eval1.0ms (0.1%)

Compiler: Compiled 30 to 22 computations (26.7% saved)

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	3	1	4
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	4	1	5

Error

0.0b

Counts

5 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(*.f64 x (+.f64 x 2))

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (+.f64 x 2))

Compiler

Compiled 11 to 7 computations (36.4% saved)

series6.0ms (0.4%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(*.f64 x (+.f64 x 2))
1.0ms	x	@	inf	(*.f64 x (+.f64 x 2))
0.0ms	x	@	0	(*.f64 x (+.f64 x 2))

Compiler

Compiled 450 to 345 computations (23.3% saved)

rewrite37.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

593×	`pow1_binary64`
557×	`add-log-exp_binary64`
556×	`log1p-expm1-u_binary64`
556×	`expm1-log1p-u_binary64`
548×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	114	7
2	1488	7

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(*.f64 x (+.f64 x 2))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x x) (.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x 2) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x x) 1) (.f64 (.f64 x 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 x (+.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 x 2) 3)) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 (.f64 x 2) (.f64 x 2)) (.f64 (.f64 x x) (.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x 2) (.f64 x 2))) (-.f64 (.f64 x x) (.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 8 (pow.f64 x 3)) x) (fma.f64 x x (-.f64 4 (.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 x x -4) x) (+.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (+.f64 8 (pow.f64 x 3))) (fma.f64 x x (-.f64 4 (.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (fma.f64 x x -4)) (+.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (+.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (+.f64 x 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (+.f64 x 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (+.f64 x 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (+.f64 x 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x (.f64 x 2))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 2) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) 1) (*.f64 (*.f64 x 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (+.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x 2) 3)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x 2) (*.f64 x 2)) (*.f64 (*.f64 x x) (*.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x 2) (*.f64 x 2))) (-.f64 (*.f64 x x) (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 8 (pow.f64 x 3)) x) (fma.f64 x x (-.f64 4 (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -4) x) (+.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 8 (pow.f64 x 3))) (fma.f64 x x (-.f64 4 (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 x x -4)) (+.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x (*.f64 x 2))))))

simplify35.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

504×	`associate-/r*_binary64`
322×	`associate-*l/_binary64`
307×	`*-commutative_binary64`
292×	`associate-*r/_binary64`
279×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	67	215
1	203	198
2	784	192
3	3408	192

Stop Event

1×	node limit

Counts

21 → 28

Calls

Call 1

Inputs
(+.f64 (.f64 x x) (.f64 x 2))
(+.f64 (.f64 x 2) (.f64 x x))
(+.f64 (.f64 (.f64 x x) 1) (.f64 (.f64 x 2) 1))
(-.f64 (+.f64 1 (*.f64 x (+.f64 x 2))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 x 2) 3)) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 (.f64 x 2) (.f64 x 2)) (.f64 (.f64 x x) (*.f64 x 2)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x 2) (.f64 x 2))) (-.f64 (.f64 x x) (.f64 x 2)))
(/.f64 (.f64 (+.f64 8 (pow.f64 x 3)) x) (fma.f64 x x (-.f64 4 (.f64 x 2))))
(/.f64 (*.f64 (fma.f64 x x -4) x) (+.f64 x -2))
(/.f64 (.f64 x (+.f64 8 (pow.f64 x 3))) (fma.f64 x x (-.f64 4 (.f64 x 2))))
(/.f64 (*.f64 x (fma.f64 x x -4)) (+.f64 x -2))
(pow.f64 (*.f64 x (+.f64 x 2)) 1)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x 2))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x 2))))
(exp.f64 (log.f64 (*.f64 x (+.f64 x 2))))
(fma.f64 x x (*.f64 x 2))

Outputs
(+.f64 (.f64 x x) (.f64 x 2))
(*.f64 x (+.f64 x 2))
(+.f64 (.f64 x 2) (.f64 x x))
(*.f64 x (+.f64 x 2))
(+.f64 (.f64 (.f64 x x) 1) (.f64 (.f64 x 2) 1))
(*.f64 x (+.f64 x 2))
(-.f64 (+.f64 1 (*.f64 x (+.f64 x 2))) 1)
(*.f64 x (+.f64 x 2))
(/.f64 (+.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 x 2) 3)) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 (.f64 x 2) (.f64 x 2)) (.f64 (.f64 x x) (*.f64 x 2)))))
(/.f64 (+.f64 (pow.f64 (.f64 x x) 3) (.f64 (pow.f64 x 3) 8)) (+.f64 (.f64 x (pow.f64 x 3)) (-.f64 (.f64 (.f64 x x) 4) (.f64 (pow.f64 x 3) 2))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (fma.f64 (.f64 x 2) (.f64 x (-.f64 2 x)) (pow.f64 x 4)))
(/.f64 (fma.f64 8 (pow.f64 x 3) (pow.f64 x 6)) (.f64 (.f64 x x) (fma.f64 x x (fma.f64 x -2 4))))
(/.f64 (fma.f64 8 (pow.f64 x 3) (pow.f64 x 6)) (.f64 x (.f64 x (fma.f64 x x (fma.f64 x -2 4)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x 2) (.f64 x 2))) (-.f64 (.f64 x x) (.f64 x 2)))
(*.f64 x (+.f64 x 2))
(/.f64 (.f64 (+.f64 8 (pow.f64 x 3)) x) (fma.f64 x x (-.f64 4 (.f64 x 2))))
(/.f64 (.f64 x (+.f64 8 (pow.f64 x 3))) (fma.f64 x x (-.f64 4 (.f64 x 2))))
(/.f64 (fma.f64 x 8 (pow.f64 x 4)) (fma.f64 x x (+.f64 4 (*.f64 x -2))))
(/.f64 (fma.f64 x 8 (pow.f64 x 4)) (fma.f64 x x (fma.f64 x -2 4)))
(/.f64 (*.f64 (fma.f64 x x -4) x) (+.f64 x -2))
(*.f64 x (+.f64 x 2))
(/.f64 (.f64 x (+.f64 8 (pow.f64 x 3))) (fma.f64 x x (-.f64 4 (.f64 x 2))))
(/.f64 (fma.f64 x 8 (pow.f64 x 4)) (fma.f64 x x (+.f64 4 (*.f64 x -2))))
(/.f64 (fma.f64 x 8 (pow.f64 x 4)) (fma.f64 x x (fma.f64 x -2 4)))
(/.f64 (*.f64 x (fma.f64 x x -4)) (+.f64 x -2))
(*.f64 x (+.f64 x 2))
(pow.f64 (*.f64 x (+.f64 x 2)) 1)
(*.f64 x (+.f64 x 2))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) 1/3)
(*.f64 x (+.f64 x 2))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 3)
(*.f64 x (+.f64 x 2))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) 2)
(*.f64 x (+.f64 x 2))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2))
(*.f64 x (+.f64 x 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))
(*.f64 x (+.f64 x 2))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3))
(*.f64 x (+.f64 x 2))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x 2))))
(*.f64 x (+.f64 x 2))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x 2))))
(*.f64 x (+.f64 x 2))
(exp.f64 (log.f64 (*.f64 x (+.f64 x 2))))
(*.f64 x (+.f64 x 2))
(fma.f64 x x (*.f64 x 2))
(*.f64 x (+.f64 x 2))

eval6.0ms (0.4%)

Compiler: Compiled 351 to 225 computations (35.9% saved)

prune5.0ms (0.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	27	1	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	2	29

Error

Counts

29 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 (.f64 x x) (.f64 x 2))
✓	0.0b	(*.f64 x (+.f64 x 2))

Compiler

Compiled 14 to 9 computations (35.7% saved)

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 x x) (.f64 x 2))

Compiler

Compiled 16 to 8 computations (50% saved)

series5.0ms (0.3%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(+.f64 (.f64 x x) (.f64 x 2))
0.0ms	x	@	0	(+.f64 (.f64 x x) (.f64 x 2))
0.0ms	x	@	-inf	(+.f64 (.f64 x x) (.f64 x 2))

Compiler

Compiled 450 to 345 computations (23.3% saved)

rewrite40.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

683×	`pow1_binary64`
641×	`add-log-exp_binary64`
640×	`log1p-expm1-u_binary64`
640×	`expm1-log1p-u_binary64`
627×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	133	7
2	1793	7

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

Inputs
(+.f64 (.f64 x x) (.f64 x 2))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 x (+.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x 4) (.f64 x (-.f64 x 2))) (/.f64 (.f64 (.f64 x x) 4) (.f64 x (-.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (+.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x (+.f64 x 2))) (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) 2) (cbrt.f64 (.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 x (sqrt.f64 (.f64 x 2))) (hypot.f64 x (sqrt.f64 (.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 x 6) (.f64 (pow.f64 x 3) 8)) (/.f64 1 (+.f64 (pow.f64 x 4) (-.f64 (.f64 (.f64 x x) 4) (.f64 (pow.f64 x 3) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 x 4) (.f64 (.f64 x x) 4)) (/.f64 1 (.f64 x (-.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (-.f64 (.f64 (.f64 x x) 4) (.f64 (pow.f64 x 3) 2))) (+.f64 (pow.f64 x 6) (.f64 (pow.f64 x 3) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (.f64 x (-.f64 x 2)) (-.f64 (pow.f64 x 4) (.f64 (.f64 x x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) (.f64 (pow.f64 x 3) 8)) (+.f64 (pow.f64 x 4) (-.f64 (.f64 (.f64 x x) 4) (.f64 (pow.f64 x 3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) (.f64 (pow.f64 x 3) 8)) (+.f64 (.f64 (.f64 x x) 4) (-.f64 (pow.f64 x 4) (.f64 (pow.f64 x 3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) (.f64 (.f64 x x) 4)) (.f64 x (-.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 6) (.f64 (pow.f64 x 3) 8))) (neg.f64 (+.f64 (pow.f64 x 4) (-.f64 (.f64 (.f64 x x) 4) (.f64 (pow.f64 x 3) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 4) (.f64 (.f64 x x) 4))) (neg.f64 (.f64 x (-.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 x x) 4) (pow.f64 x 4)) (-.f64 (.f64 x 2) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (+.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (+.f64 x 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x (sqrt.f64 (.f64 x 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (+.f64 x 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (+.f64 x 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x (.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 2 (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 x (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x x) (.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x 2) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (.f64 x x)) (.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 x 2)) 2) (cbrt.f64 (.f64 x 2)) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x 2)) (sqrt.f64 (.f64 x 2)) (*.f64 x x))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (+.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x 4) (*.f64 x (-.f64 x 2))) (/.f64 (*.f64 (*.f64 x x) 4) (*.f64 x (-.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2) (cbrt.f64 (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 x (sqrt.f64 (*.f64 x 2))) (hypot.f64 x (sqrt.f64 (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) 8)) (/.f64 1 (+.f64 (pow.f64 x 4) (-.f64 (*.f64 (*.f64 x x) 4) (*.f64 (pow.f64 x 3) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 4) (*.f64 (*.f64 x x) 4)) (/.f64 1 (*.f64 x (-.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (-.f64 (*.f64 (*.f64 x x) 4) (*.f64 (pow.f64 x 3) 2))) (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x (-.f64 x 2)) (-.f64 (pow.f64 x 4) (*.f64 (*.f64 x x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) 8)) (+.f64 (pow.f64 x 4) (-.f64 (*.f64 (*.f64 x x) 4) (*.f64 (pow.f64 x 3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) 8)) (+.f64 (*.f64 (*.f64 x x) 4) (-.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) (*.f64 (*.f64 x x) 4)) (*.f64 x (-.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) 8))) (neg.f64 (+.f64 (pow.f64 x 4) (-.f64 (*.f64 (*.f64 x x) 4) (*.f64 (pow.f64 x 3) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 4) (*.f64 (*.f64 x x) 4))) (neg.f64 (*.f64 x (-.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 4) (pow.f64 x 4)) (-.f64 (*.f64 x 2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x (sqrt.f64 (*.f64 x 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 2 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 x (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x x) (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 2) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)) (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) (cbrt.f64 (*.f64 x 2)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 2)) (sqrt.f64 (*.f64 x 2)) (*.f64 x x))))))

simplify41.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

460×	`fma-neg_binary64`
436×	`cancel-sign-sub-inv_binary64`
388×	`div-sub_binary64`
278×	`log-prod_binary64`
270×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	97	705
1	279	592
2	952	468
3	4399	446

Stop Event

1×	node limit

Counts

39 → 52

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (*.f64 x (+.f64 x 2))) 1)
(-.f64 (/.f64 (pow.f64 x 4) (.f64 x (-.f64 x 2))) (/.f64 (.f64 (.f64 x x) 4) (.f64 x (-.f64 x 2))))
(*.f64 x (+.f64 x 2))
(.f64 (.f64 x (+.f64 x 2)) 1)
(.f64 1 (.f64 x (+.f64 x 2)))
(.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) 2) (cbrt.f64 (*.f64 x (+.f64 x 2))))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (cbrt.f64 x) (+.f64 x 2)))
(.f64 (hypot.f64 x (sqrt.f64 (.f64 x 2))) (hypot.f64 x (sqrt.f64 (*.f64 x 2))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 x 2)))
(.f64 (+.f64 (pow.f64 x 6) (.f64 (pow.f64 x 3) 8)) (/.f64 1 (+.f64 (pow.f64 x 4) (-.f64 (.f64 (.f64 x x) 4) (*.f64 (pow.f64 x 3) 2)))))
(.f64 (-.f64 (pow.f64 x 4) (.f64 (.f64 x x) 4)) (/.f64 1 (.f64 x (-.f64 x 2))))
(*.f64 (+.f64 x 2) x)
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (-.f64 (.f64 (.f64 x x) 4) (.f64 (pow.f64 x 3) 2))) (+.f64 (pow.f64 x 6) (.f64 (pow.f64 x 3) 8))))
(/.f64 1 (/.f64 (.f64 x (-.f64 x 2)) (-.f64 (pow.f64 x 4) (.f64 (*.f64 x x) 4))))
(/.f64 (+.f64 (pow.f64 x 6) (.f64 (pow.f64 x 3) 8)) (+.f64 (pow.f64 x 4) (-.f64 (.f64 (.f64 x x) 4) (.f64 (pow.f64 x 3) 2))))
(/.f64 (+.f64 (pow.f64 x 6) (.f64 (pow.f64 x 3) 8)) (+.f64 (.f64 (.f64 x x) 4) (-.f64 (pow.f64 x 4) (.f64 (pow.f64 x 3) 2))))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 (.f64 x x) 4)) (*.f64 x (-.f64 x 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 6) (.f64 (pow.f64 x 3) 8))) (neg.f64 (+.f64 (pow.f64 x 4) (-.f64 (.f64 (.f64 x x) 4) (.f64 (pow.f64 x 3) 2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 4) (.f64 (.f64 x x) 4))) (neg.f64 (*.f64 x (-.f64 x 2))))
(/.f64 (-.f64 (.f64 (.f64 x x) 4) (pow.f64 x 4)) (-.f64 (.f64 x 2) (.f64 x x)))
(pow.f64 (*.f64 x (+.f64 x 2)) 1)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 3)
(pow.f64 (hypot.f64 x (sqrt.f64 (*.f64 x 2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x 2))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x 2))))
(exp.f64 (log.f64 (*.f64 x (+.f64 x 2))))
(fma.f64 x x (*.f64 x 2))
(fma.f64 x 2 (*.f64 x x))
(fma.f64 2 x (*.f64 x x))
(fma.f64 1 (.f64 x x) (.f64 x 2))
(fma.f64 1 (.f64 x 2) (.f64 x x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (.f64 x x)) (.f64 x 2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 2)) 2) (cbrt.f64 (.f64 x 2)) (*.f64 x x))
(fma.f64 (sqrt.f64 (.f64 x 2)) (sqrt.f64 (.f64 x 2)) (*.f64 x x))

Outputs
(-.f64 (+.f64 1 (*.f64 x (+.f64 x 2))) 1)
(+.f64 1 (-.f64 (*.f64 x (+.f64 x 2)) 1))
(+.f64 (*.f64 x (+.f64 x 2)) 0)
(*.f64 x (+.f64 x 2))
(-.f64 (/.f64 (pow.f64 x 4) (.f64 x (-.f64 x 2))) (/.f64 (.f64 (.f64 x x) 4) (.f64 x (-.f64 x 2))))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 x (.f64 x 4))) (*.f64 x (+.f64 x -2)))
(/.f64 (+.f64 (pow.f64 x 4) (.f64 (.f64 x x) -4)) (*.f64 x (+.f64 x -2)))
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 x -4)) (+.f64 x -2))
(*.f64 (/.f64 x (+.f64 x -2)) (fma.f64 x x -4))
(*.f64 x (+.f64 x 2))
(+.f64 1 (-.f64 (*.f64 x (+.f64 x 2)) 1))
(+.f64 (*.f64 x (+.f64 x 2)) 0)
(.f64 (.f64 x (+.f64 x 2)) 1)
(+.f64 1 (-.f64 (*.f64 x (+.f64 x 2)) 1))
(+.f64 (*.f64 x (+.f64 x 2)) 0)
(*.f64 x (+.f64 x 2))
(.f64 1 (.f64 x (+.f64 x 2)))
(+.f64 1 (-.f64 (*.f64 x (+.f64 x 2)) 1))
(+.f64 (*.f64 x (+.f64 x 2)) 0)
(*.f64 x (+.f64 x 2))
(.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2))
(+.f64 1 (-.f64 (*.f64 x (+.f64 x 2)) 1))
(+.f64 (*.f64 x (+.f64 x 2)) 0)
(*.f64 x (+.f64 x 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x 2))) 2) (cbrt.f64 (*.f64 x (+.f64 x 2))))
(+.f64 1 (-.f64 (*.f64 x (+.f64 x 2)) 1))
(+.f64 (*.f64 x (+.f64 x 2)) 0)
(*.f64 x (+.f64 x 2))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (cbrt.f64 x) (+.f64 x 2)))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (+.f64 x 2) (cbrt.f64 x)))
(.f64 (+.f64 x 2) (.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)))
(.f64 (hypot.f64 x (sqrt.f64 (.f64 x 2))) (hypot.f64 x (sqrt.f64 (*.f64 x 2))))
(+.f64 1 (-.f64 (*.f64 x (+.f64 x 2)) 1))
(+.f64 (*.f64 x (+.f64 x 2)) 0)
(*.f64 x (+.f64 x 2))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 x 2)))
(+.f64 1 (-.f64 (*.f64 x (+.f64 x 2)) 1))
(+.f64 (*.f64 x (+.f64 x 2)) 0)
(*.f64 x (+.f64 x 2))
(.f64 (+.f64 (pow.f64 x 6) (.f64 (pow.f64 x 3) 8)) (/.f64 1 (+.f64 (pow.f64 x 4) (-.f64 (.f64 (.f64 x x) 4) (*.f64 (pow.f64 x 3) 2)))))
(.f64 (+.f64 (pow.f64 x 6) (.f64 (pow.f64 x 3) 8)) (/.f64 1 (-.f64 (+.f64 (pow.f64 x 4) (.f64 x (.f64 x 4))) (*.f64 2 (pow.f64 x 3)))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (+.f64 (fma.f64 x (.f64 x 4) (pow.f64 x 4)) (.f64 (pow.f64 x 3) -2)))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (fma.f64 x (*.f64 x 4) (fma.f64 (pow.f64 x 3) -2 (pow.f64 x 4))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (.f64 (.f64 x x) (-.f64 4 (*.f64 x (-.f64 2 x)))))
(.f64 (-.f64 (pow.f64 x 4) (.f64 (.f64 x x) 4)) (/.f64 1 (.f64 x (-.f64 x 2))))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 x (.f64 x 4))) (*.f64 x (+.f64 x -2)))
(/.f64 (+.f64 (pow.f64 x 4) (.f64 (.f64 x x) -4)) (*.f64 x (+.f64 x -2)))
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 x -4)) (+.f64 x -2))
(*.f64 (/.f64 x (+.f64 x -2)) (fma.f64 x x -4))
(*.f64 (+.f64 x 2) x)
(+.f64 1 (-.f64 (*.f64 x (+.f64 x 2)) 1))
(+.f64 (*.f64 x (+.f64 x 2)) 0)
(*.f64 x (+.f64 x 2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (-.f64 (.f64 (.f64 x x) 4) (.f64 (pow.f64 x 3) 2))) (+.f64 (pow.f64 x 6) (.f64 (pow.f64 x 3) 8))))
(.f64 (+.f64 (pow.f64 x 6) (.f64 (pow.f64 x 3) 8)) (/.f64 1 (-.f64 (+.f64 (pow.f64 x 4) (.f64 x (.f64 x 4))) (*.f64 2 (pow.f64 x 3)))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (+.f64 (fma.f64 x (.f64 x 4) (pow.f64 x 4)) (.f64 (pow.f64 x 3) -2)))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (fma.f64 x (*.f64 x 4) (fma.f64 (pow.f64 x 3) -2 (pow.f64 x 4))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (.f64 (.f64 x x) (-.f64 4 (*.f64 x (-.f64 2 x)))))
(/.f64 1 (/.f64 (.f64 x (-.f64 x 2)) (-.f64 (pow.f64 x 4) (.f64 (*.f64 x x) 4))))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 x (.f64 x 4))) (*.f64 x (+.f64 x -2)))
(/.f64 (+.f64 (pow.f64 x 4) (.f64 (.f64 x x) -4)) (*.f64 x (+.f64 x -2)))
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 x -4)) (+.f64 x -2))
(*.f64 (/.f64 x (+.f64 x -2)) (fma.f64 x x -4))
(/.f64 (+.f64 (pow.f64 x 6) (.f64 (pow.f64 x 3) 8)) (+.f64 (pow.f64 x 4) (-.f64 (.f64 (.f64 x x) 4) (.f64 (pow.f64 x 3) 2))))
(.f64 (+.f64 (pow.f64 x 6) (.f64 (pow.f64 x 3) 8)) (/.f64 1 (-.f64 (+.f64 (pow.f64 x 4) (.f64 x (.f64 x 4))) (*.f64 2 (pow.f64 x 3)))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (+.f64 (fma.f64 x (.f64 x 4) (pow.f64 x 4)) (.f64 (pow.f64 x 3) -2)))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (fma.f64 x (*.f64 x 4) (fma.f64 (pow.f64 x 3) -2 (pow.f64 x 4))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (.f64 (.f64 x x) (-.f64 4 (*.f64 x (-.f64 2 x)))))
(/.f64 (+.f64 (pow.f64 x 6) (.f64 (pow.f64 x 3) 8)) (+.f64 (.f64 (.f64 x x) 4) (-.f64 (pow.f64 x 4) (.f64 (pow.f64 x 3) 2))))
(.f64 (+.f64 (pow.f64 x 6) (.f64 (pow.f64 x 3) 8)) (/.f64 1 (-.f64 (+.f64 (pow.f64 x 4) (.f64 x (.f64 x 4))) (*.f64 2 (pow.f64 x 3)))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (+.f64 (fma.f64 x (.f64 x 4) (pow.f64 x 4)) (.f64 (pow.f64 x 3) -2)))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (fma.f64 x (*.f64 x 4) (fma.f64 (pow.f64 x 3) -2 (pow.f64 x 4))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (.f64 (.f64 x x) (-.f64 4 (*.f64 x (-.f64 2 x)))))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 (.f64 x x) 4)) (*.f64 x (-.f64 x 2)))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 x (.f64 x 4))) (*.f64 x (+.f64 x -2)))
(/.f64 (+.f64 (pow.f64 x 4) (.f64 (.f64 x x) -4)) (*.f64 x (+.f64 x -2)))
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 x -4)) (+.f64 x -2))
(*.f64 (/.f64 x (+.f64 x -2)) (fma.f64 x x -4))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 6) (.f64 (pow.f64 x 3) 8))) (neg.f64 (+.f64 (pow.f64 x 4) (-.f64 (.f64 (.f64 x x) 4) (.f64 (pow.f64 x 3) 2)))))
(.f64 (+.f64 (pow.f64 x 6) (.f64 (pow.f64 x 3) 8)) (/.f64 1 (-.f64 (+.f64 (pow.f64 x 4) (.f64 x (.f64 x 4))) (*.f64 2 (pow.f64 x 3)))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (+.f64 (fma.f64 x (.f64 x 4) (pow.f64 x 4)) (.f64 (pow.f64 x 3) -2)))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (fma.f64 x (*.f64 x 4) (fma.f64 (pow.f64 x 3) -2 (pow.f64 x 4))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 x 6)) (.f64 (.f64 x x) (-.f64 4 (*.f64 x (-.f64 2 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 4) (.f64 (.f64 x x) 4))) (neg.f64 (*.f64 x (-.f64 x 2))))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 x (.f64 x 4))) (*.f64 x (+.f64 x -2)))
(/.f64 (+.f64 (pow.f64 x 4) (.f64 (.f64 x x) -4)) (*.f64 x (+.f64 x -2)))
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 x -4)) (+.f64 x -2))
(*.f64 (/.f64 x (+.f64 x -2)) (fma.f64 x x -4))
(/.f64 (-.f64 (.f64 (.f64 x x) 4) (pow.f64 x 4)) (-.f64 (.f64 x 2) (.f64 x x)))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 x (.f64 x 4))) (*.f64 x (+.f64 x -2)))
(/.f64 (+.f64 (pow.f64 x 4) (.f64 (.f64 x x) -4)) (*.f64 x (+.f64 x -2)))
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 x -4)) (+.f64 x -2))
(*.f64 (/.f64 x (+.f64 x -2)) (fma.f64 x x -4))
(pow.f64 (*.f64 x (+.f64 x 2)) 1)
(+.f64 1 (-.f64 (*.f64 x (+.f64 x 2)) 1))
(+.f64 (*.f64 x (+.f64 x 2)) 0)
(*.f64 x (+.f64 x 2))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 x (+.f64 x 2)) 1))
(+.f64 (*.f64 x (+.f64 x 2)) 0)
(*.f64 x (+.f64 x 2))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 3)
(+.f64 1 (-.f64 (*.f64 x (+.f64 x 2)) 1))
(+.f64 (*.f64 x (+.f64 x 2)) 0)
(*.f64 x (+.f64 x 2))
(pow.f64 (hypot.f64 x (sqrt.f64 (*.f64 x 2))) 2)
(+.f64 1 (-.f64 (*.f64 x (+.f64 x 2)) 1))
(+.f64 (*.f64 x (+.f64 x 2)) 0)
(*.f64 x (+.f64 x 2))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2))
(+.f64 1 (-.f64 (*.f64 x (+.f64 x 2)) 1))
(+.f64 (*.f64 x (+.f64 x 2)) 0)
(*.f64 x (+.f64 x 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))
(+.f64 1 (-.f64 (*.f64 x (+.f64 x 2)) 1))
(+.f64 (*.f64 x (+.f64 x 2)) 0)
(*.f64 x (+.f64 x 2))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3))
(+.f64 1 (-.f64 (*.f64 x (+.f64 x 2)) 1))
(+.f64 (*.f64 x (+.f64 x 2)) 0)
(*.f64 x (+.f64 x 2))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x 2))))
(+.f64 1 (-.f64 (*.f64 x (+.f64 x 2)) 1))
(+.f64 (*.f64 x (+.f64 x 2)) 0)
(*.f64 x (+.f64 x 2))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x 2))))
(+.f64 1 (-.f64 (*.f64 x (+.f64 x 2)) 1))
(+.f64 (*.f64 x (+.f64 x 2)) 0)
(*.f64 x (+.f64 x 2))
(exp.f64 (log.f64 (*.f64 x (+.f64 x 2))))
(+.f64 1 (-.f64 (*.f64 x (+.f64 x 2)) 1))
(+.f64 (*.f64 x (+.f64 x 2)) 0)
(*.f64 x (+.f64 x 2))
(fma.f64 x x (*.f64 x 2))
(+.f64 1 (-.f64 (*.f64 x (+.f64 x 2)) 1))
(+.f64 (*.f64 x (+.f64 x 2)) 0)
(*.f64 x (+.f64 x 2))
(fma.f64 x 2 (*.f64 x x))
(+.f64 1 (-.f64 (*.f64 x (+.f64 x 2)) 1))
(+.f64 (*.f64 x (+.f64 x 2)) 0)
(*.f64 x (+.f64 x 2))
(fma.f64 2 x (*.f64 x x))
(+.f64 1 (-.f64 (*.f64 x (+.f64 x 2)) 1))
(+.f64 (*.f64 x (+.f64 x 2)) 0)
(*.f64 x (+.f64 x 2))
(fma.f64 1 (.f64 x x) (.f64 x 2))
(+.f64 1 (-.f64 (*.f64 x (+.f64 x 2)) 1))
(+.f64 (*.f64 x (+.f64 x 2)) 0)
(*.f64 x (+.f64 x 2))
(fma.f64 1 (.f64 x 2) (.f64 x x))
(+.f64 1 (-.f64 (*.f64 x (+.f64 x 2)) 1))
(+.f64 (*.f64 x (+.f64 x 2)) 0)
(*.f64 x (+.f64 x 2))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (.f64 x x)) (.f64 x 2))
(fma.f64 x 2 (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 (pow.f64 x 4))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 2)) 2) (cbrt.f64 (.f64 x 2)) (*.f64 x x))
(+.f64 1 (-.f64 (*.f64 x (+.f64 x 2)) 1))
(+.f64 (*.f64 x (+.f64 x 2)) 0)
(*.f64 x (+.f64 x 2))
(fma.f64 (sqrt.f64 (.f64 x 2)) (sqrt.f64 (.f64 x 2)) (*.f64 x x))
(+.f64 1 (-.f64 (*.f64 x (+.f64 x 2)) 1))
(+.f64 (*.f64 x (+.f64 x 2)) 0)
(*.f64 x (+.f64 x 2))

eval12.0ms (0.8%)

Compiler: Compiled 673 to 446 computations (33.7% saved)

prune6.0ms (0.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	52	2	54

Error

Counts

54 → 2

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 (.f64 x x) (.f64 x 2))
✓	0.0b	(*.f64 x (+.f64 x 2))

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes11.0ms (0.7%)

Accuracy

Total -38.6b remaining (-494295.5%)

Threshold costs -38.6b (-494295.5%)

Counts

3 → 1

Calls

Call 1

Inputs
(*.f64 x (+.f64 x 2))
(+.f64 (.f64 x x) (.f64 x 2))
(-.f64 (*.f64 (+.f64 x 1) (+.f64 x 1)) 1)

Outputs
(*.f64 x (+.f64 x 2))

Calls

4 calls:

3.0ms	x
2.0ms	(*.f64 (+.f64 x 1) (+.f64 x 1))
2.0ms	(+.f64 x 1)
2.0ms	(-.f64 (*.f64 (+.f64 x 1) (+.f64 x 1)) 1)

Results

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

Compiler

Compiled 46 to 33 computations (28.3% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	7	7

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(*.f64 x (+.f64 x 2))

Outputs
(*.f64 x (+.f64 x 2))

Compiler

Compiled 6 to 4 computations (33.3% saved)

soundness102.0ms (6.9%)

Algorithm

1×	egg-herbie

Rules

891×	`fma-neg_binary64`
852×	`fma-def_binary64`
584×	`distribute-neg-in_binary64`
565×	`distribute-rgt-in_binary64`
563×	`associate--r-_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	22	10
2	55	7
3	134	7
4	571	7
5	1967	7
6	5410	7
7	7894	7

Stop Event

1×	node limit

Compiler

Compiled 80 to 64 computations (20% saved)

end11.0ms (0.7%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

Details

analyze3.0ms (0.2%)

sample1.1s (70.5%)

preprocess59.0ms (4%)

simplify48.0ms (3.2%)

eval1.0ms (0.1%)

prune1.0ms (0.1%)

localize5.0ms (0.3%)

series6.0ms (0.4%)

rewrite37.0ms (2.5%)

simplify35.0ms (2.3%)

eval6.0ms (0.4%)

prune5.0ms (0.3%)

localize5.0ms (0.4%)

series5.0ms (0.3%)

rewrite40.0ms (2.7%)

simplify41.0ms (2.8%)

eval12.0ms (0.8%)

prune6.0ms (0.4%)

regimes11.0ms (0.7%)

simplify2.0ms (0.1%)

soundness102.0ms (6.9%)

end11.0ms (0.7%)

Profiling