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
75%	75%	25%	0%	0%	0%	0%	4
85.7%	75%	12.5%	0%	12.5%	0%	0%	5
92.3%	75%	6.2%	0%	18.7%	0%	0%	6
96%	75%	3.1%	0%	21.9%	0%	0%	7
98%	75%	1.6%	0%	23.4%	0%	0%	8
99%	75%	0.8%	0%	24.2%	0%	0%	9
99.5%	75%	0.4%	0%	24.6%	0%	0%	10
99.7%	75%	0.2%	0%	24.8%	0%	0%	11
99.9%	75%	0.1%	0%	24.9%	0%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample597.0ms (31.9%)

Results

582.0ms	8256×	body	256	valid
2.0ms	17×	body	256	infinite

Bogosity

preprocess4.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

4×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	10	19
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(.f64 x (-.f64 1 (.f64 x 1/2)))

Outputs
(.f64 x (-.f64 1 (.f64 x 1/2)))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify10.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

4×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	10	19

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(.f64 x (-.f64 1 (.f64 x 1/2)))

Outputs
(.f64 x (-.f64 1 (.f64 x 1/2)))

eval0.0ms (0%)

Compiler: Compiled 8 to 6 computations (25% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(.f64 x (-.f64 1 (.f64 x 1/2)))

Compiler

Compiled 8 to 6 computations (25% saved)

localize7.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 x (-.f64 1 (.f64 x 1/2)))

Compiler

Compiled 19 to 14 computations (26.3% saved)

series1.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(.f64 x (-.f64 1 (.f64 x 1/2)))
0.0ms	x	@	0	(.f64 x (-.f64 1 (.f64 x 1/2)))
0.0ms	x	@	-inf	(.f64 x (-.f64 1 (.f64 x 1/2)))

rewrite235.0ms (12.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1606×	`rational.json-simplify-35`
1414×	`rational.json-1`
1414×	`rational.json-2`
1414×	`rational.json-3`
1412×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	62	19
2	136	19
3	249	19
4	438	19
5	972	19
6	2268	19
7	4074	19
8	5278	19
9	6489	19
10	7641	19
11	7760	19
12	7886	19

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

Inputs
(.f64 x (-.f64 1 (.f64 x 1/2)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 x -2) (/.f64 x -2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (+.f64 x -2) (/.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 x -2) (.f64 -1/4 x)) (.f64 (+.f64 x -2) (.f64 -1/4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 x -2) (/.f64 x -2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 x -2) (/.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 x -2) (neg.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 x -2) (.f64 x -2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (+.f64 x -2) (neg.f64 x)) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 (+.f64 x -2) (neg.f64 x)) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (.f64 (+.f64 x -2) (neg.f64 x)) 4))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (+.f64 x -2) (neg.f64 x)) 4)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (+.f64 x -2) (neg.f64 x)) 4))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (+.f64 x -2) (neg.f64 x)) 4)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 x -2) (/.f64 x -2)) 1)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x -2) (/.f64 x -2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 x -2) (/.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x -2) (*.f64 -1/4 x)) (*.f64 (+.f64 x -2) (*.f64 -1/4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 x -2) (/.f64 x -2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x -2) (/.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x -2) (neg.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x -2) (*.f64 x -2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 x -2) (neg.f64 x)) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (+.f64 x -2) (neg.f64 x)) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (+.f64 x -2) (neg.f64 x)) 4))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (+.f64 x -2) (neg.f64 x)) 4)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (+.f64 x -2) (neg.f64 x)) 4))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (+.f64 x -2) (neg.f64 x)) 4)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 x -2) (/.f64 x -2)) 1)))))

simplify390.0ms (20.8%)

Algorithm

1×	egg-herbie

Rules

2884×	`rational.json-simplify-2`
2568×	`rational.json-simplify-35`
1356×	`rational.json-simplify-51`
1178×	`rational.json-simplify-1`
992×	`exponential.json-simplify-26`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	464
1	132	464
2	253	464
3	554	464
4	1570	464
5	4019	464
6	5030	464
7	5541	464
8	5882	464
9	6160	464
10	6182	464
11	7619	464
12	7648	464
13	7696	464
14	7696	464
15	7948	464

Stop Event

1×	node limit

Counts

26 → 22

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 (+.f64 x -2) (/.f64 x -2)) 0)
(+.f64 0 (*.f64 (+.f64 x -2) (/.f64 x -2)))
(+.f64 (.f64 (+.f64 x -2) (.f64 -1/4 x)) (.f64 (+.f64 x -2) (.f64 -1/4 x)))
(-.f64 (*.f64 (+.f64 x -2) (/.f64 x -2)) 0)
(/.f64 (*.f64 (+.f64 x -2) (/.f64 x -2)) 1)
(/.f64 (*.f64 (+.f64 x -2) (neg.f64 x)) 2)
(/.f64 (.f64 (+.f64 x -2) (.f64 x -2)) 4)
(/.f64 (.f64 (.f64 (+.f64 x -2) (neg.f64 x)) 4) 8)
(/.f64 (.f64 2 (.f64 (*.f64 (+.f64 x -2) (neg.f64 x)) 4)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (+.f64 x -2) (neg.f64 x)) 4))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (*.f64 (+.f64 x -2) (neg.f64 x)) 4)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (+.f64 x -2) (neg.f64 x)) 4))))) 128)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (*.f64 (+.f64 x -2) (neg.f64 x)) 4)))))) 256)
(pow.f64 (*.f64 (+.f64 x -2) (/.f64 x -2)) 1)

Outputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 (+.f64 x -2) (/.f64 x -2)) 0)
(*.f64 (+.f64 x -2) (/.f64 x -2))
(.f64 (+.f64 x -2) (.f64 x -1/2))
(.f64 x (.f64 (+.f64 x -2) -1/2))
(.f64 x (.f64 -1/2 (+.f64 x -2)))
(+.f64 0 (*.f64 (+.f64 x -2) (/.f64 x -2)))
(*.f64 (+.f64 x -2) (/.f64 x -2))
(.f64 (+.f64 x -2) (.f64 x -1/2))
(.f64 x (.f64 (+.f64 x -2) -1/2))
(.f64 x (.f64 -1/2 (+.f64 x -2)))
(+.f64 (.f64 (+.f64 x -2) (.f64 -1/4 x)) (.f64 (+.f64 x -2) (.f64 -1/4 x)))
(*.f64 (+.f64 x -2) (/.f64 x -2))
(.f64 (+.f64 x -2) (.f64 x -1/2))
(.f64 x (.f64 (+.f64 x -2) -1/2))
(.f64 x (.f64 -1/2 (+.f64 x -2)))
(-.f64 (*.f64 (+.f64 x -2) (/.f64 x -2)) 0)
(*.f64 (+.f64 x -2) (/.f64 x -2))
(.f64 (+.f64 x -2) (.f64 x -1/2))
(.f64 x (.f64 (+.f64 x -2) -1/2))
(.f64 x (.f64 -1/2 (+.f64 x -2)))
(/.f64 (*.f64 (+.f64 x -2) (/.f64 x -2)) 1)
(*.f64 (+.f64 x -2) (/.f64 x -2))
(.f64 (+.f64 x -2) (.f64 x -1/2))
(.f64 x (.f64 (+.f64 x -2) -1/2))
(.f64 x (.f64 -1/2 (+.f64 x -2)))
(/.f64 (*.f64 (+.f64 x -2) (neg.f64 x)) 2)
(*.f64 (+.f64 x -2) (/.f64 x -2))
(.f64 (+.f64 x -2) (.f64 x -1/2))
(.f64 x (.f64 (+.f64 x -2) -1/2))
(.f64 x (.f64 -1/2 (+.f64 x -2)))
(/.f64 (.f64 (+.f64 x -2) (.f64 x -2)) 4)
(*.f64 (+.f64 x -2) (/.f64 x -2))
(.f64 (+.f64 x -2) (.f64 x -1/2))
(.f64 x (.f64 (+.f64 x -2) -1/2))
(.f64 x (.f64 -1/2 (+.f64 x -2)))
(/.f64 (.f64 (.f64 (+.f64 x -2) (neg.f64 x)) 4) 8)
(*.f64 (+.f64 x -2) (/.f64 x -2))
(.f64 (+.f64 x -2) (.f64 x -1/2))
(.f64 x (.f64 (+.f64 x -2) -1/2))
(.f64 x (.f64 -1/2 (+.f64 x -2)))
(/.f64 (.f64 2 (.f64 (*.f64 (+.f64 x -2) (neg.f64 x)) 4)) 16)
(*.f64 (+.f64 x -2) (/.f64 x -2))
(.f64 (+.f64 x -2) (.f64 x -1/2))
(.f64 x (.f64 (+.f64 x -2) -1/2))
(.f64 x (.f64 -1/2 (+.f64 x -2)))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (+.f64 x -2) (neg.f64 x)) 4))) 32)
(*.f64 (+.f64 x -2) (/.f64 x -2))
(.f64 (+.f64 x -2) (.f64 x -1/2))
(.f64 x (.f64 (+.f64 x -2) -1/2))
(.f64 x (.f64 -1/2 (+.f64 x -2)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (*.f64 (+.f64 x -2) (neg.f64 x)) 4)))) 64)
(*.f64 (+.f64 x -2) (/.f64 x -2))
(.f64 (+.f64 x -2) (.f64 x -1/2))
(.f64 x (.f64 (+.f64 x -2) -1/2))
(.f64 x (.f64 -1/2 (+.f64 x -2)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (+.f64 x -2) (neg.f64 x)) 4))))) 128)
(*.f64 (+.f64 x -2) (/.f64 x -2))
(.f64 (+.f64 x -2) (.f64 x -1/2))
(.f64 x (.f64 (+.f64 x -2) -1/2))
(.f64 x (.f64 -1/2 (+.f64 x -2)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (*.f64 (+.f64 x -2) (neg.f64 x)) 4)))))) 256)
(*.f64 (+.f64 x -2) (/.f64 x -2))
(.f64 (+.f64 x -2) (.f64 x -1/2))
(.f64 x (.f64 (+.f64 x -2) -1/2))
(.f64 x (.f64 -1/2 (+.f64 x -2)))
(pow.f64 (*.f64 (+.f64 x -2) (/.f64 x -2)) 1)
(*.f64 (+.f64 x -2) (/.f64 x -2))
(.f64 (+.f64 x -2) (.f64 x -1/2))
(.f64 x (.f64 (+.f64 x -2) -1/2))
(.f64 x (.f64 -1/2 (+.f64 x -2)))

eval5.0ms (0.3%)

Compiler: Compiled 216 to 166 computations (23.1% saved)

prune4.0ms (0.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	20	2	22
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	3	23

Error

Counts

23 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
✓	0.0b	(.f64 x (-.f64 1 (.f64 x 1/2)))
	24.8b	x

Compiler

Compiled 18 to 13 computations (27.8% saved)

localize8.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 -1/2 (pow.f64 x 2))
✓	0.0b	(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)

Compiler

Compiled 19 to 14 computations (26.3% saved)

series2.0ms (0.1%)

Counts

2 → 3

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
0.0ms	x	@	0	(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
0.0ms	x	@	inf	(*.f64 -1/2 (pow.f64 x 2))
0.0ms	x	@	inf	(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
0.0ms	x	@	0	(*.f64 -1/2 (pow.f64 x 2))

rewrite244.0ms (13%)

Algorithm

1×	batch-egg-rewrite

Rules

2270×	`rational.json-simplify-2`
1630×	`rational.json-simplify-1`
1518×	`rational.json-simplify-35`
1224×	`exponential.json-3`
1224×	`rational.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	52	32
2	106	32
3	204	32
4	382	32
5	855	32
6	2247	32
7	4051	32
8	4920	32
9	6063	32
10	6866	32
11	6952	32
12	7064	32
13	7908	32

Stop Event

1×	node limit

Counts

2 → 66

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (.f64 -1/2 (pow.f64 x 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (+.f64 (.f64 (pow.f64 x 2) -1/4) (.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x (.f64 -1/2 (pow.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 x (.f64 -1/2 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x (+.f64 x (neg.f64 (pow.f64 x 2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (.f64 (+.f64 x (.f64 -1/2 (pow.f64 x 2))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x (.f64 -1/2 (pow.f64 x 2))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x (.f64 -1/2 (pow.f64 x 2))) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 x (+.f64 x (neg.f64 (pow.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 (pow.f64 x 2) -1/4) (.f64 x 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (+.f64 x (.f64 -1/2 (pow.f64 x 2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x (.f64 -1/2 (pow.f64 x 2))) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/8 (.f64 (+.f64 x (.f64 -1/2 (pow.f64 x 2))) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (.f64 -1/2 (pow.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (+.f64 x (neg.f64 (pow.f64 x 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 x (.f64 -1/2 (pow.f64 x 2))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 x (.f64 -1/2 (pow.f64 x 2))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 x (.f64 -1/2 (pow.f64 x 2))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 -1/2 (pow.f64 x 2))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 -1/2 (pow.f64 x 2))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 -1/2 (pow.f64 x 2))) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 -1/2 (pow.f64 x 2))) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (.f64 -1/2 (pow.f64 x 2))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 -1/2 (pow.f64 x 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 -1/2 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (.f64 (pow.f64 x 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (+.f64 1 (+.f64 -1 (.f64 (pow.f64 x 2) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 x 2) -1/4) (.f64 (pow.f64 x 2) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 1 (+.f64 -1 (.f64 (pow.f64 x 2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (.f64 (pow.f64 x 2) 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 -1 (.f64 (pow.f64 x 2) 1/2))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 1 (+.f64 -1 (.f64 (pow.f64 x 2) 1/2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 -1/2 (pow.f64 x 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 (pow.f64 x 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 1 (+.f64 -1 (.f64 (pow.f64 x 2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 1 (.f64 (pow.f64 x 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (+.f64 -1 (.f64 (pow.f64 x 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (.f64 (pow.f64 x 2) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1/2 (pow.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (pow.f64 x 2)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 x 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 2) 4) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 2) -2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 2) 8) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 2) -4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 2) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (pow.f64 x 2) -4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (pow.f64 x 2) 8)) -32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) 8))) -64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) -4))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (pow.f64 x 2) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 2 (.f64 (pow.f64 x 2) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (neg.f64 (.f64 (pow.f64 x 2) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (neg.f64 (.f64 2 (.f64 (pow.f64 x 2) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) -4)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) 8)))) -128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (neg.f64 (.f64 (pow.f64 x 2) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (neg.f64 (.f64 2 (.f64 (pow.f64 x 2) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) -4))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) 8))))) -256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) -4)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (+.f64 -1 (.f64 (pow.f64 x 2) 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -1/2 (pow.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (pow.f64 x 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 1 (+.f64 -1 (.f64 (pow.f64 x 2) 1/2))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (*.f64 -1/2 (pow.f64 x 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 (pow.f64 x 2) -1/4) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (*.f64 -1/2 (pow.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (*.f64 -1/2 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (+.f64 x (neg.f64 (pow.f64 x 2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (+.f64 x (*.f64 -1/2 (pow.f64 x 2))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x (*.f64 -1/2 (pow.f64 x 2))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x (*.f64 -1/2 (pow.f64 x 2))) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 x (+.f64 x (neg.f64 (pow.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 x 2) -1/4) (*.f64 x 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 x (*.f64 -1/2 (pow.f64 x 2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x (*.f64 -1/2 (pow.f64 x 2))) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (+.f64 x (*.f64 -1/2 (pow.f64 x 2))) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 -1/2 (pow.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (+.f64 x (neg.f64 (pow.f64 x 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x (*.f64 -1/2 (pow.f64 x 2))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x (*.f64 -1/2 (pow.f64 x 2))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 x (*.f64 -1/2 (pow.f64 x 2))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (*.f64 -1/2 (pow.f64 x 2))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (*.f64 -1/2 (pow.f64 x 2))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (*.f64 -1/2 (pow.f64 x 2))) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (*.f64 -1/2 (pow.f64 x 2))) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (*.f64 -1/2 (pow.f64 x 2))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (pow.f64 x 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/2 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (+.f64 1 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 2) -1/4) (*.f64 (pow.f64 x 2) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 1 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 1 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -1/2 (pow.f64 x 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (pow.f64 x 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 1 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 x 2)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 x 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 4) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) -2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 8) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) -4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 2) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 x 2) -4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8)) -32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8))) -64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -4))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (pow.f64 x 2) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 (pow.f64 x 2) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -4)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8)))) -128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 (pow.f64 x 2) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 (pow.f64 x 2) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -4))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) 8))))) -256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 2) -4)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (pow.f64 x 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 1 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2))))))))

simplify310.0ms (16.5%)

Algorithm

1×	egg-herbie

Rules

1972×	`rational.json-simplify-2`
1900×	`rational.json-simplify-35`
1650×	`rational.json-simplify-1`
856×	`rational.json-simplify-52`
720×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	138	1047
1	341	1047
2	762	1047
3	2248	1047
4	3819	1047
5	4572	1047
6	5063	1047
7	5957	1047
8	6925	1047
9	7321	1047
10	7476	1047
11	7787	1047
12	7836	1047
13	7853	1047

Stop Event

1×	node limit

Counts

69 → 70

Calls

Call 1

Inputs
x
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(-.f64 (+.f64 x (*.f64 -1/2 (pow.f64 x 2))) 0)
(.f64 2 (+.f64 (.f64 (pow.f64 x 2) -1/4) (*.f64 x 1/2)))
(.f64 (+.f64 x (.f64 -1/2 (pow.f64 x 2))) 1)
(.f64 1 (+.f64 x (.f64 -1/2 (pow.f64 x 2))))
(*.f64 (+.f64 x (+.f64 x (neg.f64 (pow.f64 x 2)))) 1/2)
(.f64 4 (.f64 (+.f64 x (*.f64 -1/2 (pow.f64 x 2))) 1/4))
(.f64 (.f64 (+.f64 x (*.f64 -1/2 (pow.f64 x 2))) 4) 1/4)
(.f64 (.f64 (+.f64 x (*.f64 -1/2 (pow.f64 x 2))) 8) 1/8)
(*.f64 1/2 (+.f64 x (+.f64 x (neg.f64 (pow.f64 x 2)))))
(.f64 (+.f64 (.f64 (pow.f64 x 2) -1/4) (*.f64 x 1/2)) 2)
(.f64 1/4 (.f64 (+.f64 x (*.f64 -1/2 (pow.f64 x 2))) 4))
(.f64 (.f64 (+.f64 x (*.f64 -1/2 (pow.f64 x 2))) 1/4) 4)
(.f64 1/8 (.f64 (+.f64 x (*.f64 -1/2 (pow.f64 x 2))) 8))
(/.f64 (+.f64 x (*.f64 -1/2 (pow.f64 x 2))) 1)
(/.f64 (+.f64 x (+.f64 x (neg.f64 (pow.f64 x 2)))) 2)
(/.f64 (.f64 (+.f64 x (.f64 -1/2 (pow.f64 x 2))) 4) 4)
(/.f64 (.f64 (+.f64 x (.f64 -1/2 (pow.f64 x 2))) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 x (*.f64 -1/2 (pow.f64 x 2))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 -1/2 (pow.f64 x 2))) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (*.f64 -1/2 (pow.f64 x 2))) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 -1/2 (pow.f64 x 2))) 8))))) 128)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (*.f64 -1/2 (pow.f64 x 2))) 8)))))) 256)
(pow.f64 (+.f64 x (*.f64 -1/2 (pow.f64 x 2))) 1)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) 0)
(+.f64 0 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 -1 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)))
(+.f64 -1 (-.f64 1 (+.f64 1 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2)))))
(+.f64 (.f64 (pow.f64 x 2) -1/4) (.f64 (pow.f64 x 2) -1/4))
(+.f64 -2 (-.f64 1 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2))))
(+.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)) -1)
(+.f64 (-.f64 1 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2))) -2)
(+.f64 (-.f64 1 (+.f64 1 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2)))) -1)
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) 0)
(-.f64 0 (*.f64 (pow.f64 x 2) 1/2))
(-.f64 0 (+.f64 1 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2))))
(-.f64 1 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2)))
(-.f64 -1 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2)))
(-.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)) 1)
(/.f64 (pow.f64 x 2) -2)
(/.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)
(/.f64 (*.f64 2 (pow.f64 x 2)) -4)
(/.f64 (neg.f64 (pow.f64 x 2)) 2)
(/.f64 (*.f64 (pow.f64 x 2) 4) -8)
(/.f64 (*.f64 (pow.f64 x 2) -2) 4)
(/.f64 (*.f64 (pow.f64 x 2) 8) -16)
(/.f64 (*.f64 (pow.f64 x 2) -4) 8)
(/.f64 (*.f64 (pow.f64 x 2) 1/2) -1)
(/.f64 (.f64 2 (.f64 (pow.f64 x 2) -4)) 16)
(/.f64 (.f64 2 (.f64 (pow.f64 x 2) 8)) -32)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 2) 8))) -64)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 2) -4))) 32)
(/.f64 (neg.f64 (*.f64 (pow.f64 x 2) 8)) 16)
(/.f64 (neg.f64 (.f64 2 (.f64 (pow.f64 x 2) 8))) 32)
(/.f64 (.f64 2 (neg.f64 (.f64 (pow.f64 x 2) 8))) 32)
(/.f64 (.f64 2 (neg.f64 (.f64 2 (*.f64 (pow.f64 x 2) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) -4)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) 8)))) -128)
(/.f64 (.f64 2 (.f64 2 (neg.f64 (*.f64 (pow.f64 x 2) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (neg.f64 (.f64 2 (.f64 (pow.f64 x 2) 8))))) 128)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 2) -4))))) 128)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 2) 8))))) -256)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) -4)))))) 256)
(/.f64 (+.f64 1 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2))) -1)
(pow.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)
(neg.f64 (*.f64 (pow.f64 x 2) 1/2))
(neg.f64 (+.f64 1 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2))))

Outputs
x
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(-.f64 (+.f64 x (*.f64 -1/2 (pow.f64 x 2))) 0)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(.f64 2 (+.f64 (.f64 (pow.f64 x 2) -1/4) (*.f64 x 1/2)))
(.f64 2 (+.f64 (.f64 x 1/2) (*.f64 (pow.f64 x 2) -1/4)))
(.f64 (+.f64 x (.f64 -1/2 (pow.f64 x 2))) 1)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(.f64 1 (+.f64 x (.f64 -1/2 (pow.f64 x 2))))
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 (+.f64 x (+.f64 x (neg.f64 (pow.f64 x 2)))) 1/2)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(.f64 4 (.f64 (+.f64 x (*.f64 -1/2 (pow.f64 x 2))) 1/4))
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(.f64 (.f64 (+.f64 x (*.f64 -1/2 (pow.f64 x 2))) 4) 1/4)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(.f64 (.f64 (+.f64 x (*.f64 -1/2 (pow.f64 x 2))) 8) 1/8)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 1/2 (+.f64 x (+.f64 x (neg.f64 (pow.f64 x 2)))))
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(.f64 (+.f64 (.f64 (pow.f64 x 2) -1/4) (*.f64 x 1/2)) 2)
(.f64 2 (+.f64 (.f64 (pow.f64 x 2) -1/4) (*.f64 x 1/2)))
(.f64 2 (+.f64 (.f64 x 1/2) (*.f64 (pow.f64 x 2) -1/4)))
(.f64 1/4 (.f64 (+.f64 x (*.f64 -1/2 (pow.f64 x 2))) 4))
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(.f64 (.f64 (+.f64 x (*.f64 -1/2 (pow.f64 x 2))) 1/4) 4)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(.f64 1/8 (.f64 (+.f64 x (*.f64 -1/2 (pow.f64 x 2))) 8))
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(/.f64 (+.f64 x (*.f64 -1/2 (pow.f64 x 2))) 1)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(/.f64 (+.f64 x (+.f64 x (neg.f64 (pow.f64 x 2)))) 2)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(/.f64 (.f64 (+.f64 x (.f64 -1/2 (pow.f64 x 2))) 4) 4)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(/.f64 (.f64 (+.f64 x (.f64 -1/2 (pow.f64 x 2))) 8) 8)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(/.f64 (.f64 2 (.f64 (+.f64 x (*.f64 -1/2 (pow.f64 x 2))) 8)) 16)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 -1/2 (pow.f64 x 2))) 8))) 32)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (*.f64 -1/2 (pow.f64 x 2))) 8)))) 64)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 -1/2 (pow.f64 x 2))) 8))))) 128)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (*.f64 -1/2 (pow.f64 x 2))) 8)))))) 256)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(pow.f64 (+.f64 x (*.f64 -1/2 (pow.f64 x 2))) 1)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) 0)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 0 (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 -1 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 -1 (-.f64 1 (+.f64 1 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2)))))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 x 2) -1/4) (.f64 (pow.f64 x 2) -1/4))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 -2 (-.f64 1 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2))))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)) -1)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (-.f64 1 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2))) -2)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (-.f64 1 (+.f64 1 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2)))) -1)
(*.f64 -1/2 (pow.f64 x 2))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) 0)
(*.f64 -1/2 (pow.f64 x 2))
(-.f64 0 (*.f64 (pow.f64 x 2) 1/2))
(*.f64 -1/2 (pow.f64 x 2))
(-.f64 0 (+.f64 1 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2))))
(*.f64 -1/2 (pow.f64 x 2))
(-.f64 1 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2)))
(*.f64 -1/2 (pow.f64 x 2))
(-.f64 -1 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2)))
(*.f64 -1/2 (pow.f64 x 2))
(-.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)) 1)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (pow.f64 x 2) -2)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 2 (pow.f64 x 2)) -4)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (neg.f64 (pow.f64 x 2)) 2)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) 4) -8)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) -2) 4)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) 8) -16)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) -4) 8)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) 1/2) -1)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 (pow.f64 x 2) -4)) 16)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 (pow.f64 x 2) 8)) -32)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 2) 8))) -64)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 2) -4))) 32)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (neg.f64 (*.f64 (pow.f64 x 2) 8)) 16)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (neg.f64 (.f64 2 (.f64 (pow.f64 x 2) 8))) 32)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (.f64 2 (neg.f64 (.f64 (pow.f64 x 2) 8))) 32)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (.f64 2 (neg.f64 (.f64 2 (*.f64 (pow.f64 x 2) 8)))) 64)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) -4)))) 64)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) 8)))) -128)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 2 (neg.f64 (*.f64 (pow.f64 x 2) 8)))) 64)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 2 (neg.f64 (.f64 2 (.f64 (pow.f64 x 2) 8))))) 128)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 2) -4))))) 128)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 2) 8))))) -256)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) -4)))))) 256)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (+.f64 1 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2))) -1)
(*.f64 -1/2 (pow.f64 x 2))
(pow.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)
(*.f64 -1/2 (pow.f64 x 2))
(neg.f64 (*.f64 (pow.f64 x 2) 1/2))
(*.f64 -1/2 (pow.f64 x 2))
(neg.f64 (+.f64 1 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2))))
(*.f64 -1/2 (pow.f64 x 2))

eval17.0ms (0.9%)

Compiler: Compiled 797 to 655 computations (17.8% saved)

prune10.0ms (0.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	70	3	73

Error

Counts

73 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
✓	0.0b	(.f64 x (-.f64 1 (.f64 x 1/2)))
	24.8b	x

Compiler

Compiled 18 to 13 computations (27.8% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Error

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
✓	0.0b	(.f64 x (-.f64 1 (.f64 x 1/2)))
	24.8b	x

Compiler

Compiled 18 to 13 computations (27.8% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Error

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
✓	0.0b	(.f64 x (-.f64 1 (.f64 x 1/2)))
	24.8b	x

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes8.0ms (0.4%)

Accuracy

Total -24.8b remaining (-158573.8%)

Threshold costs -24.8b (-158573.8%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(.f64 x (-.f64 1 (.f64 x 1/2)))

Calls

2 calls:

4.0ms	(.f64 x (-.f64 1 (.f64 x 1/2)))
3.0ms	x

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`(.f64 x (-.f64 1 (.f64 x 1/2)))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 x (-.f64 1 (.f64 x 1/2)))
x

Outputs
(.f64 x (-.f64 1 (.f64 x 1/2)))
x

Compiler

Compiled 10 to 7 computations (30% saved)

soundness0.0ms (0%)

end14.0ms (0.8%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

Details

analyze3.0ms (0.2%)

sample597.0ms (31.9%)

preprocess4.0ms (0.2%)

simplify10.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.4%)

series1.0ms (0.1%)

rewrite235.0ms (12.5%)

simplify390.0ms (20.8%)

eval5.0ms (0.3%)

prune4.0ms (0.2%)

localize8.0ms (0.4%)

series2.0ms (0.1%)

rewrite244.0ms (13%)

simplify310.0ms (16.5%)

eval17.0ms (0.9%)

prune10.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0.1%)

regimes8.0ms (0.4%)

simplify2.0ms (0.1%)

soundness0.0ms (0%)

end14.0ms (0.8%)

Profiling