Details

analyze180.0ms (1.2%)

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
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	7
18.8%	18.7%	81.1%	0.1%	0%	0%	0%	8
25.8%	25%	71.8%	0.1%	3.1%	0%	0%	9
37.3%	34.3%	57.7%	0.1%	7.8%	0%	0%	10
45.1%	41.3%	50.3%	0.1%	8.2%	0%	0%	11
52.5%	46.8%	42.3%	0.1%	10.7%	0%	0%	12

Compiler

Compiled 13 to 10 computations (23.1% saved)

sample2.6s (17.1%)

Results

2.4s	8256×	body	256	valid
227.0ms	1079×	body	256	infinite

Bogosity

preprocess4.0ms (0%)

Algorithm

2×	egg-herbie

Rules

16×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	100
1	29	100
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
(.f64 y (-.f64 1 (.f64 (-.f64 1 x) z)))
(.f64 z (-.f64 1 (.f64 (-.f64 1 y) x)))
(.f64 x (-.f64 1 (.f64 (-.f64 1 z) y)))

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

Compiler

Compiled 15 to 12 computations (20% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	12	25

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))

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

eval0.0ms (0%)

Compiler: Compiled 12 to 9 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

3.3b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	3.3b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))

Compiler

Compiled 12 to 9 computations (25% saved)

localize47.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 1 y) z)
✓	3.1b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))

Compiler

Compiled 31 to 20 computations (35.5% saved)

series5.0ms (0%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	z	@	inf	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
1.0ms	x	@	0	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
1.0ms	y	@	0	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
0.0ms	y	@	inf	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
0.0ms	z	@	-inf	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))

rewrite233.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1880×	`rational.json-simplify-1`
1380×	`exponential.json-3`
1380×	`rational.json-1`
1380×	`rational.json-2`
1380×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	74	38
2	161	38
3	311	38
4	564	38
5	1255	38
6	2740	38
7	4691	38
8	6009	38
9	7119	38
10	7279	38
11	7463	38
12	7641	38

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

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

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

Outputs

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

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

simplify544.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

2880×	`rational.json-simplify-35`
2390×	`rational.json-simplify-2`
1316×	`rational.json-simplify-1`
1264×	`rational.json-simplify-49`
1012×	`exponential.json-simplify-26`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	88	1730
1	228	1708
2	468	1654
3	1073	1654
4	2991	1654
5	5030	1654
6	5835	1654
7	6090	1654
8	6280	1654
9	6460	1654
10	7255	1654
11	7496	1654
12	7505	1654
13	7507	1654
14	7507	1654
15	7678	1654
16	7849	1654

Stop Event

1×	node limit

Counts

86 → 54

Calls

Call 1

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

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

eval11.0ms (0.1%)

Compiler: Compiled 605 to 417 computations (31.1% saved)

prune25.0ms (0.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	46	8	54
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	8	55

Error

0.0b

Counts

55 → 8

Alt Table

Click to see full alt table

Status	Error	Program
	3.1b	(+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x)
▶	2.1b	(+.f64 (.f64 y (.f64 z x)) (*.f64 (-.f64 1 z) x))
▶	20.1b	(*.f64 (-.f64 1 z) x)
▶	29.5b	(.f64 z (.f64 (-.f64 y 1) x))
▶	44.3b	(.f64 z (.f64 y x))
▶	45.0b	(.f64 y (.f64 z x))
	18.4b	(.f64 x (-.f64 1 (.f64 z (neg.f64 y))))
	34.5b	x

Compiler

Compiled 146 to 99 computations (32.2% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 1 z) x)
✓	0.0b	(+.f64 (.f64 y (.f64 z x)) (*.f64 (-.f64 1 z) x))
✓	2.9b	(.f64 y (.f64 z x))

Compiler

Compiled 34 to 15 computations (55.9% saved)

series8.0ms (0%)

Counts

3 → 39

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(.f64 y (.f64 z x))
1.0ms	y	@	inf	(.f64 y (.f64 z x))
1.0ms	y	@	0	(.f64 y (.f64 z x))
1.0ms	x	@	-inf	(+.f64 (.f64 y (.f64 z x)) (*.f64 (-.f64 1 z) x))
0.0ms	x	@	inf	(+.f64 (.f64 y (.f64 z x)) (*.f64 (-.f64 1 z) x))

rewrite198.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2798×	`rational.json-simplify-2`
1564×	`rational.json-simplify-35`
1264×	`exponential.json-3`
1264×	`rational.json-1`
1264×	`rational.json-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	57
1	84	57
2	186	51
3	369	51
4	705	51
5	1675	51
6	3476	51
7	4855	51
8	5908	51
9	6835	51
10	6887	51
11	6932	51

Stop Event

1×	node limit

Counts

3 → 60

Calls

Call 1

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

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

Outputs

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

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

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

simplify363.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

2498×	`rational.json-simplify-2`
1896×	`rational.json-simplify-35`
1408×	`rational.json-simplify-51`
924×	`rational.json-simplify-49`
786×	`rational.json-simplify-48`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	147	2025
1	363	1963
2	944	1963
3	2254	1963
4	4977	1947
5	6089	1947
6	6560	1947
7	6681	1947
8	6815	1947
9	6978	1947

Stop Event

1×	node limit

Counts

99 → 91

Calls

Call 1

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

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	2.9b	(.f64 y (.f64 z x))

Compiler

Compiled 14 to 5 computations (64.3% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.2b	(.f64 z (.f64 y x))

Compiler

Compiled 14 to 5 computations (64.3% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite352.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2168×	`rational.json-simplify-2`
1512×	`rational.json-simplify-1`
1370×	`exponential.json-3`
1370×	`rational.json-1`
1370×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	48	13
2	117	13
3	250	13
4	452	13
5	1058	13
6	2170	13
7	3361	13
8	3993	13
9	4949	13
10	5542	13
11	5542	13
12	6896	13
13	7986	13

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

Inputs
(.f64 z (.f64 y x))

Outputs

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

simplify448.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

4310×	`rational.json-simplify-53`
3568×	`rational.json-simplify-35`
2436×	`rational.json-simplify-2`
1568×	`exponential.json-simplify-26`
698×	`rational.json-simplify-43`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	650
1	137	650
2	291	650
3	729	650
4	1987	650
5	3628	650
6	4116	650
7	4453	650
8	4651	650
9	4843	650
10	5737	650
11	6486	650
12	6486	650
13	6486	650
14	6677	650
15	6868	650
16	7059	650
17	7250	650
18	7441	650

Stop Event

1×	node limit

Counts

50 → 16

Calls

Call 1

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

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (-.f64 1 z) x)

Compiler

Compiled 14 to 9 computations (35.7% saved)

localize73.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 y 1) x)
✓	2.9b	(.f64 z (.f64 (-.f64 y 1) x))

Compiler

Compiled 22 to 13 computations (40.9% saved)

series4.0ms (0%)

Counts

2 → 24

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(.f64 z (.f64 (-.f64 y 1) x))
0.0ms	x	@	inf	(.f64 z (.f64 (-.f64 y 1) x))
0.0ms	x	@	0	(.f64 z (.f64 (-.f64 y 1) x))
0.0ms	z	@	inf	(.f64 z (.f64 (-.f64 y 1) x))
0.0ms	y	@	0	(.f64 z (.f64 (-.f64 y 1) x))

rewrite197.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1872×	`rational.json-simplify-35`
1764×	`rational.json-simplify-1`
1412×	`exponential.json-3`
1412×	`rational.json-1`
1412×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	72	32
2	171	32
3	322	32
4	596	32
5	1361	32
6	2982	32
7	4756	32
8	5565	32
9	6959	32
10	7882	32
11	7882	32

Stop Event

1×	node limit

Counts

2 → 28

Calls

Call 1

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

Outputs

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

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

simplify607.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

3602×	`rational.json-simplify-35`
1664×	`exponential.json-simplify-26`
1622×	`rational.json-simplify-2`
1462×	`rational.json-simplify-53`
1052×	`exponential.json-simplify-11`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	79	1210
1	217	792
2	482	792
3	1178	792
4	3046	792
5	3993	792
6	4276	792
7	4479	792
8	4659	792
9	4832	792
10	6221	792
11	7006	792
12	7008	792
13	7011	792
14	7014	792
15	7182	792
16	7349	792
17	7513	792
18	7677	792
19	7841	792

Stop Event

1×	node limit

Counts

52 → 44

Calls

Call 1

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

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

eval35.0ms (0.2%)

Compiler: Compiled 2102 to 1217 computations (42.1% saved)

prune115.0ms (0.7%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	180	3	183
Fresh	0	3	3
Picked	1	0	1
Done	0	4	4
Total	181	10	191

Error

0.0b

Counts

191 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	3.1b	(+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x)
✓	2.1b	(+.f64 (.f64 y (.f64 z x)) (*.f64 (-.f64 1 z) x))
▶	20.1b	(+.f64 (.f64 -1 (.f64 z x)) x)
✓	20.1b	(*.f64 (-.f64 1 z) x)
✓	44.3b	(.f64 z (.f64 y x))
▶	47.7b	(*.f64 z (neg.f64 x))
✓	45.0b	(.f64 y (.f64 z x))
▶	18.4b	(.f64 x (-.f64 1 (.f64 z (neg.f64 y))))
▶	31.6b	(.f64 x (.f64 (+.f64 -1 y) z))
	34.5b	x

Compiler

Compiled 142 to 98 computations (31% saved)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (-.f64 y 1) x)
✓	0.0b	(+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x)
	2.9b	(.f64 z (.f64 (-.f64 y 1) x))

Compiler

Compiled 31 to 18 computations (41.9% saved)

series1.0ms (0%)

Counts

1 → 27

Calls

9 calls:

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

rewrite191.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2462×	`rational.json-simplify-2`
1538×	`rational.json-1`
1538×	`rational.json-2`
1394×	`rational.json-simplify-35`
1144×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	79	25
2	182	25
3	349	25
4	675	25
5	1588	25
6	3269	25
7	4559	25
8	5482	25
9	6261	25
10	6261	25
11	7772	25

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify290.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

2178×	`rational.json-simplify-2`
1844×	`rational.json-simplify-1`
1622×	`rational.json-simplify-35`
1170×	`rational.json-simplify-41`
976×	`rational.json-simplify-42`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	106	1942
1	243	1884
2	500	1604
3	1271	1604
4	2267	1604
5	3538	1604
6	3779	1604
7	4009	1604
8	4226	1604
9	4534	1604
10	5048	1604
11	6005	1604
12	6236	1604
13	6570	1604
14	6836	1604
15	7189	1604

Stop Event

1×	node limit

Counts

64 → 64

Calls

Call 1

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

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

localize5.0ms (0%)

Compiler: Compiled 11 to 5 computations (54.5% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 -1 y) z)
✓	3.2b	(.f64 x (.f64 (+.f64 -1 y) z))

Compiler

Compiled 22 to 13 computations (40.9% saved)

series2.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite196.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1798×	`rational.json-simplify-35`
1674×	`rational.json-simplify-1`
1346×	`exponential.json-3`
1346×	`rational.json-1`
1346×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	65	32
2	152	32
3	300	32
4	559	32
5	1285	32
6	2800	32
7	4493	32
8	5275	32
9	6607	32
10	7488	32
11	7488	32

Stop Event

1×	node limit

Counts

2 → 28

Calls

Call 1

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

Outputs

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

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

simplify261.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

2746×	`rational.json-simplify-41`
2204×	`rational.json-simplify-2`
2056×	`rational.json-simplify-35`
1124×	`rational.json-simplify-49`
710×	`rational.json-simplify-51`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	85	1618
1	232	1404
2	484	1404
3	1163	1404
4	3220	1404
5	3984	1404
6	4395	1404
7	4688	1404
8	4711	1404
9	4732	1404
10	7620	1404
11	7818	1404
12	7877	1404

Stop Event

1×	node limit

Counts

88 → 45

Calls

Call 1

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

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

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 -1 (.f64 z x)) x)

Compiler

Compiled 21 to 10 computations (52.4% saved)

series4.0ms (0%)

Counts

1 → 15

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(+.f64 (.f64 -1 (.f64 z x)) x)
0.0ms	z	@	inf	(+.f64 (.f64 -1 (.f64 z x)) x)
0.0ms	x	@	inf	(+.f64 (.f64 -1 (.f64 z x)) x)
0.0ms	z	@	0	(+.f64 (.f64 -1 (.f64 z x)) x)
0.0ms	x	@	-inf	(+.f64 (.f64 -1 (.f64 z x)) x)

rewrite139.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1618×	`rational.json-1`
1618×	`rational.json-2`
1504×	`rational.json-simplify-35`
1402×	`rational.json-3`
1388×	`exponential.json-3`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	59	17
2	143	17
3	292	17
4	595	13
5	1504	13
6	3146	13
7	4859	13
8	6537	13
9	7856	13

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

Outputs

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

simplify237.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

2030×	`rational.json-simplify-2`
1708×	`rational.json-simplify-35`
1416×	`rational.json-simplify-1`
886×	`rational.json-simplify-48`
850×	`exponential.json-simplify-26`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	87	795
1	203	787
2	501	619
3	1657	619
4	3435	619
5	4415	619
6	5006	619
7	5358	619
8	5712	619
9	6172	619
10	7433	619
11	7806	619

Stop Event

1×	node limit

Counts

47 → 42

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.1b	(.f64 x (-.f64 1 (.f64 z (neg.f64 y))))

Compiler

Compiled 27 to 11 computations (59.3% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite122.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1744×	`rational.json-1`
1716×	`rational.json-simplify-35`
1278×	`rational.json-2`
1278×	`rational.json-3`
1270×	`exponential.json-3`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	83	23
2	183	23
3	367	23
4	707	23
5	1659	23
6	3615	19
7	6023	19
8	7968	19

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

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

Outputs

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

simplify770.0ms (5%)

Algorithm

1×	egg-herbie

Rules

3006×	`rational.json-simplify-35`
2366×	`rational.json-simplify-2`
1400×	`rational.json-simplify-53`
1322×	`rational.json-simplify-1`
1034×	`rational.json-simplify-48`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	1021
1	123	971
2	233	971
3	502	871
4	1659	871
5	3322	871
6	4474	871
7	4722	871
8	4922	871
9	5098	871
10	5268	871
11	5864	871
12	6292	871
13	6452	871
14	6581	871
15	6606	871
16	6686	871
17	6734	871
18	6930	871
19	7126	871
20	7311	871
21	7493	871
22	7668	871
23	7988	871

Stop Event

1×	node limit

Counts

49 → 25

Calls

Call 1

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

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

eval133.0ms (0.9%)

Compiler: Compiled 2353 to 1492 computations (36.6% saved)

prune80.0ms (0.5%)

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	216	4	220
Fresh	0	1	1
Picked	1	0	1
Done	3	5	8
Total	220	10	230

Error

0.0b

Counts

230 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	20.1b	(-.f64 x (*.f64 x z))
▶	17.2b	(+.f64 (.f64 y (.f64 z x)) x)
✓	20.1b	(*.f64 (-.f64 1 z) x)
✓	44.3b	(.f64 z (.f64 y x))
✓	47.7b	(*.f64 z (neg.f64 x))
✓	45.0b	(.f64 y (.f64 z x))
▶	18.4b	(.f64 x (+.f64 1 (.f64 y z)))
✓	31.6b	(.f64 x (.f64 (+.f64 -1 y) z))
▶	46.3b	(.f64 x (.f64 z y))
	34.5b	x

Compiler

Compiled 81 to 54 computations (33.3% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.4b	(.f64 x (.f64 z y))

Compiler

Compiled 14 to 5 computations (64.3% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite277.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

2168×	`rational.json-simplify-2`
1512×	`rational.json-simplify-1`
1370×	`exponential.json-3`
1370×	`rational.json-1`
1370×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	48	13
2	117	13
3	250	13
4	452	13
5	1058	13
6	2170	13
7	3361	13
8	3993	13
9	4949	13
10	5542	13
11	5542	13
12	6896	13
13	7986	13

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

Inputs
(.f64 x (.f64 z y))

Outputs

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

simplify488.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

4276×	`rational.json-simplify-53`
3790×	`rational.json-simplify-35`
2412×	`rational.json-simplify-2`
1566×	`exponential.json-simplify-26`
696×	`rational.json-simplify-43`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	650
1	141	650
2	284	650
3	716	650
4	1991	650
5	3638	650
6	4128	650
7	4487	650
8	4703	650
9	4913	650
10	5794	650
11	6545	650
12	6545	650
13	6545	650
14	6754	650
15	6963	650
16	7172	650
17	7381	650
18	7590	650

Stop Event

1×	node limit

Counts

50 → 16

Calls

Call 1

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

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

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.1b	(.f64 x (+.f64 1 (.f64 y z)))

Compiler

Compiled 22 to 10 computations (54.5% saved)

series11.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
9.0ms	y	@	-inf	(.f64 x (+.f64 1 (.f64 y z)))
0.0ms	x	@	0	(.f64 x (+.f64 1 (.f64 y z)))
0.0ms	x	@	inf	(.f64 x (+.f64 1 (.f64 y z)))
0.0ms	x	@	-inf	(.f64 x (+.f64 1 (.f64 y z)))
0.0ms	z	@	-inf	(.f64 x (+.f64 1 (.f64 y z)))

rewrite193.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1802×	`rational.json-simplify-35`
1722×	`rational.json-simplify-1`
1368×	`exponential.json-3`
1368×	`rational.json-1`
1368×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	71	19
2	157	19
3	284	19
4	522	19
5	1139	19
6	2717	19
7	4709	19
8	5670	19
9	6881	19
10	7846	19
11	7846	19

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

Outputs

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

simplify876.0ms (5.7%)

Algorithm

1×	egg-herbie

Rules

3770×	`rational.json-simplify-35`
2684×	`rational.json-simplify-2`
1630×	`rational.json-simplify-53`
924×	`rational.json-simplify-1`
922×	`exponential.json-simplify-26`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	902
1	136	902
2	251	902
3	516	902
4	1709	902
5	3373	902
6	4505	902
7	4726	902
8	4899	902
9	5062	902
10	5219	902
11	5833	902
12	6189	902
13	6356	902
14	6446	902
15	6457	902
16	6482	902
17	6611	902
18	6745	902
19	6870	902
20	6993	902
21	7115	902
22	7237	902
23	7621	902
24	7743	902
25	7923	902

Stop Event

1×	node limit

Counts

50 → 27

Calls

Call 1

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

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

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 y (.f64 z x)) x)
	2.9b	(.f64 y (.f64 z x))

Compiler

Compiled 21 to 6 computations (71.4% saved)

series1.0ms (0%)

Counts

1 → 18

Calls

9 calls:

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

rewrite185.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2442×	`rational.json-simplify-2`
1598×	`rational.json-1`
1240×	`rational.json-simplify-35`
1210×	`exponential.json-3`
1210×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	55	19
2	128	19
3	277	19
4	532	19
5	1296	19
6	2944	19
7	4561	19
8	5405	19
9	6424	19
10	6424	19
11	7961	19

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify196.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

2032×	`rational.json-simplify-2`
1642×	`rational.json-simplify-35`
946×	`rational.json-simplify-1`
884×	`rational.json-simplify-48`
810×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	1019
1	197	1019
2	446	1019
3	1450	1019
4	3129	1019
5	4327	1019
6	4990	1019
7	5388	1019
8	5780	1019
9	6277	1019
10	7328	1019

Stop Event

1×	node limit

Counts

53 → 44

Calls

Call 1

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

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

localize76.0ms (0.5%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (*.f64 x z))

Compiler

Compiled 13 to 5 computations (61.5% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite105.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1536×	`rational.json-1`
1536×	`rational.json-2`
1536×	`rational.json-3`
1534×	`exponential.json-3`
1534×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	39	13
2	93	13
3	207	13
4	399	13
5	924	13
6	2585	13
7	5115	13
8	6896	13

Stop Event

1×	node limit

Counts

1 → 83

Calls

Call 1

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

Outputs

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

simplify340.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

2454×	`rational.json-simplify-2`
1790×	`rational.json-simplify-1`
1286×	`rational.json-simplify-35`
1002×	`rational.json-simplify-41`
926×	`rational.json-simplify-53`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	181	1555
1	386	1549
2	789	1549
3	1592	1549
4	3130	1549
5	4850	1549
6	5360	1549
7	5600	1549
8	5899	1549
9	6462	1549
10	7920	1549

Stop Event

1×	node limit

Counts

107 → 102

Calls

Call 1

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

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

eval36.0ms (0.2%)

Compiler: Compiled 1956 to 1205 computations (38.4% saved)

prune179.0ms (1.2%)

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	202	0	202
Fresh	0	1	1
Picked	0	1	1
Done	0	8	8
Total	202	10	212

Error

0.0b

Counts

212 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	20.1b	(-.f64 x (*.f64 x z))
✓	17.2b	(+.f64 (.f64 y (.f64 z x)) x)
✓	20.1b	(*.f64 (-.f64 1 z) x)
✓	44.3b	(.f64 z (.f64 y x))
✓	47.7b	(*.f64 z (neg.f64 x))
✓	45.0b	(.f64 y (.f64 z x))
✓	18.4b	(.f64 x (+.f64 1 (.f64 y z)))
✓	31.6b	(.f64 x (.f64 (+.f64 -1 y) z))
✓	46.3b	(.f64 x (.f64 z y))
	34.5b	x

Compiler

Compiled 81 to 54 computations (33.3% saved)

regimes275.0ms (1.8%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

7 calls:

129.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
67.0ms	(-.f64 1 (*.f64 (-.f64 1 y) z))
23.0ms	z
21.0ms	(*.f64 (-.f64 1 y) z)
16.0ms	x

Results

Error	Segments	Branch
0.8b	2	`x`
2.1b	1	`y`
0.1b	3	`z`
0.1b	3	`(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))`
0.1b	3	`(-.f64 1 (*.f64 (-.f64 1 y) z))`
0.1b	3	`(*.f64 (-.f64 1 y) z)`
2.1b	1	`(-.f64 1 y)`

Compiler

Compiled 153 to 89 computations (41.8% saved)

bsearch86.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
73.0ms	1.1873082923867991e-108	4.862454979098907e-104
13.0ms	-50619528470430.56	-2071825338351.0168

Results

82.0ms	176×	body	256	valid
2.0ms	12×	body	256	infinite

Compiler

Compiled 312 to 227 computations (27.2% saved)

regimes215.0ms (1.4%)

Counts

15 → 3

Calls

Call 1

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

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

Calls

7 calls:

104.0ms	(*.f64 (-.f64 1 y) z)
25.0ms	z
23.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
22.0ms	y
15.0ms	x

Results

Error	Segments	Branch
0.8b	2	`x`
2.0b	2	`y`
0.1b	3	`z`
0.1b	3	`(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))`
0.1b	3	`(-.f64 1 (*.f64 (-.f64 1 y) z))`
0.1b	3	`(*.f64 (-.f64 1 y) z)`
2.0b	2	`(-.f64 1 y)`

Compiler

Compiled 142 to 85 computations (40.1% saved)

bsearch13.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
10.0ms	34468461118.05716	1230261785242.728
3.0ms	-50619528470430.56	-2071825338351.0168

Results

11.0ms	96×	body	256	valid
0.0ms	5×	body	256	infinite

Compiler

Compiled 174 to 128 computations (26.4% saved)

regimes114.0ms (0.7%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

7 calls:

24.0ms	z
21.0ms	(*.f64 (-.f64 1 y) z)
20.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
14.0ms	(-.f64 1 (*.f64 (-.f64 1 y) z))
14.0ms	y

Results

Error	Segments	Branch
3.3b	1	`x`
2.0b	2	`y`
0.1b	3	`z`
0.1b	3	`(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))`
0.1b	3	`(-.f64 1 (*.f64 (-.f64 1 y) z))`
0.1b	3	`(*.f64 (-.f64 1 y) z)`
2.0b	2	`(-.f64 1 y)`

Compiler

Compiled 133 to 80 computations (39.8% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.153749436805581e+175	6.283644616529482e+176
0.0ms	-3.2618382331675552e+184	-1.6602875148485615e+177

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes260.0ms (1.7%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

3 calls:

217.0ms	x
20.0ms	z
20.0ms	y

Results

Error	Segments	Branch
12.1b	7	`x`
2.9b	3	`y`
0.6b	3	`z`

Compiler

Compiled 88 to 46 computations (47.7% saved)

bsearch17.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
9.0ms	4.527834778103447	15.671708698010798
7.0ms	-608096453439.5013	-335437385973.98334

Results

13.0ms	144×	body	256	valid
2.0ms	13×	body	256	infinite

Compiler

Compiled 216 to 158 computations (26.9% saved)

regimes269.0ms (1.7%)

Counts

9 → 4

Calls

Call 1

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

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

Calls

3 calls:

123.0ms	x
76.0ms	y
68.0ms	z

Results

Error	Segments	Branch
13.7b	10	`x`
2.9b	4	`y`
3.9b	3	`z`

Compiler

Compiled 59 to 33 computations (44.1% saved)

bsearch137.0ms (0.9%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
17.0ms	8.69850675065622e-13	4.16286802311535
104.0ms	-36736.07074728173	-0.2794585548801859
16.0ms	-3.506154405580211e+220	-4.2475711582578004e+217

Results

128.0ms	432×	body	256	valid
3.0ms	22×	body	256	infinite

Compiler

Compiled 558 to 411 computations (26.3% saved)

regimes132.0ms (0.9%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

3 calls:

101.0ms	x
16.0ms	z
14.0ms	y

Results

Error	Segments	Branch
14.8b	9	`x`
8.6b	3	`y`
11.8b	3	`z`

Compiler

Compiled 52 to 29 computations (44.2% saved)

bsearch279.0ms (1.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
264.0ms	9.652901634771426e+158	6.889067560955935e+163
15.0ms	-1.5217809484915855e+48	-4.35289031739712e+45

Results

272.0ms	272×	body	256	valid
2.0ms	17×	body	256	infinite

Compiler

Compiled 324 to 235 computations (27.5% saved)

regimes912.0ms (5.9%)

Counts

5 → 9

Calls

Call 1

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

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

Calls

3 calls:

334.0ms	x
189.0ms	y
150.0ms	z

Results

Error	Segments	Branch
26.6b	11	`x`
20.8b	5	`y`
15.2b	9	`z`

Compiler

Compiled 35 to 20 computations (42.9% saved)

bsearch623.0ms (4%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
20.0ms	2.328995091596568e+214	1.2199571016973619e+219
125.0ms	3.1717386546295576e+68	1.2984363819613273e+75
39.0ms	28302761967447.19	229434532139388.5
12.0ms	7.025471972764272e-11	1.5117303998156407e-9
272.0ms	-3.5293679593545234e-53	-2.428897923619469e-60
12.0ms	-8752629613071792.0	-180597814295834.75
132.0ms	-1.314483613454274e+47	-1.1529975253996054e+34
11.0ms	-2.7967408209444707e+94	-3.6986816410298138e+93

Results

569.0ms	992×	body	256	valid
42.0ms	147×	body	256	infinite

Compiler

Compiled 1024 to 726 computations (29.1% saved)

regimes97.0ms (0.6%)

Counts

4 → 9

Calls

Call 1

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

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

Calls

3 calls:

48.0ms	x
31.0ms	z
17.0ms	y

Results

Error	Segments	Branch
26.8b	13	`x`
21.5b	5	`y`
15.2b	9	`z`

Compiler

Compiled 30 to 18 computations (40% saved)

bsearch114.0ms (0.7%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
19.0ms	2.328995091596568e+214	1.2199571016973619e+219
11.0ms	1.172201033638626e+80	1.5617892537097183e+81
11.0ms	28302761967447.19	229434532139388.5
12.0ms	7.025471972764272e-11	1.5117303998156407e-9
16.0ms	-3.5293679593545234e-53	-2.428897923619469e-60
14.0ms	-8752629613071792.0	-180597814295834.75
19.0ms	-1.314483613454274e+47	-1.1529975253996054e+34
12.0ms	-2.7967408209444707e+94	-3.6986816410298138e+93

Results

90.0ms	944×	body	256	valid
13.0ms	135×	body	256	infinite

Compiler

Compiled 973 to 690 computations (29.1% saved)

regimes63.0ms (0.4%)

Counts

3 → 5

Calls

Call 1

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

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

Calls

3 calls:

27.0ms	x
19.0ms	z
16.0ms	y

Results

Error	Segments	Branch
29.2b	9	`x`
22.9b	5	`y`
17.6b	5	`z`

Compiler

Compiled 25 to 16 computations (36% saved)

bsearch53.0ms (0.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
11.0ms	28302761967447.19	229434532139388.5
13.0ms	7.025471972764272e-11	1.5117303998156407e-9
16.0ms	-3.5293679593545234e-53	-2.428897923619469e-60
13.0ms	-8752629613071792.0	-180597814295834.75

Results

46.0ms	464×	body	256	valid
2.0ms	22×	body	256	infinite

Compiler

Compiled 463 to 330 computations (28.7% saved)

regimes32.0ms (0.2%)

Accuracy

Total -41.0b remaining (-198.7%)

Threshold costs -41.0b (-198.7%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

14.0ms	x
9.0ms	z
8.0ms	y

Results

Error	Segments	Branch
32.0b	5	`x`
32.4b	3	`y`
20.6b	3	`z`

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch33.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	0.00011604857013508527	4.527834778103447
19.0ms	-415060956.18400306	-6.458084417320803e-17

Results

29.0ms	304×	body	256	valid
1.0ms	9×	body	256	infinite

Compiler

Compiled 265 to 204 computations (23% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	132	985

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 z -9500000000000) (+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x) (if (<=.f64 z 5164499756173817/5164499756173817179311838344006023748659411585658447025661318713081295244033682389259290706560275662871806343945494986752) (.f64 x (-.f64 1 (.f64 (-.f64 1 y) z))) (+.f64 (.f64 y (.f64 z x)) (*.f64 (-.f64 1 z) x))))
(if (<=.f64 z -50000000000000) (+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x) (if (<=.f64 z 600000000000) (.f64 x (-.f64 1 (.f64 (-.f64 1 y) z))) (+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x)))
(if (<=.f64 (.f64 (-.f64 1 y) z) -20000000000000000347133368339382573870453505234990611224736886462437054770952482249848261400637690118797395263364344950671345201327496585184494821583360107684373027385378753248237715456) (.f64 z (.f64 (-.f64 y 1) x)) (if (<=.f64 (.f64 (-.f64 1 y) z) 39999999999999997486138098493475056401093230239587493100825002713807698410740413528150307135276363386938195289179600132648448207361831475318456484960712247853539567853690159104) (.f64 x (-.f64 1 (.f64 (-.f64 1 y) z))) (.f64 z (.f64 (-.f64 y 1) x))))
(if (<=.f64 z -350000000000) (.f64 z (.f64 (-.f64 y 1) x)) (if (<=.f64 z 2589569785738035/562949953421312) (.f64 x (+.f64 1 (.f64 y z))) (.f64 z (.f64 (-.f64 y 1) x))))
(if (<=.f64 y -1220000000000000042055658048447550999922138195584166853592838389838660297520263590176996046332283787079646259397230918623007236190874074685773346698082278091019612015841303712615348567761990388933512729449134291532382208) (.f64 z (.f64 y x)) (if (<=.f64 y -1) (.f64 x (+.f64 1 (.f64 y z))) (if (<=.f64 y 1) (.f64 (-.f64 1 z) x) (.f64 x (+.f64 1 (*.f64 y z))))))
(if (<=.f64 y -9999999999999999931398190359470212947659194368) (.f64 z (.f64 y x)) (if (<=.f64 y 17599999999999999365680324237362651868900355031679916748806412160523024522797528500728976700836657154163298012291356303582536737923847118519370642595582901747712) (.f64 (-.f64 1 z) x) (.f64 z (*.f64 y x))))
(if (<=.f64 z -6499999999999999760888028767101830070317474073092020186931598635302221106223799185509521031168) (.f64 z (neg.f64 x)) (if (<=.f64 z -84000000000000000437865279202133309957699796992) (.f64 z (.f64 y x)) (if (<=.f64 z -185000000000000) (.f64 z (neg.f64 x)) (if (<=.f64 z -7597442378547053/883423532389192164791648750371459257913741948437809479060803100646309888) (.f64 x (.f64 z y)) (if (<=.f64 z 332454600394023/302231454903657293676544) x (if (<=.f64 z 55000000000000) (.f64 y (.f64 z x)) (if (<=.f64 z 1199999999999999992194639624726952485308668475297491590825325392876076531712) (.f64 z (neg.f64 x)) (if (<=.f64 z 24000000000000000820297333909090880929075884009481258342880504702081624351088400779237167599115449147611712754195080475414431669313123713491884531042993683328398299973917154582046481469702856330582057791536706355200) (.f64 z (.f64 y x)) (.f64 z (neg.f64 x))))))))))
(if (<=.f64 z -5199999999999999993977765793387376733967555272374268714777254373266679348111173761068624248832) (.f64 z (neg.f64 x)) (if (<=.f64 z -880000000000000025524244681961693511680) (.f64 y (.f64 z x)) (if (<=.f64 z -185000000000000) (.f64 z (neg.f64 x)) (if (<=.f64 z -6686066773453359/215679573337205118357336120696157045389097155380324579848828881993728) (.f64 x (.f64 z y)) (if (<=.f64 z 3191564163782621/19342813113834066795298816) x (if (<=.f64 z 50000000000000) (.f64 y (.f64 z x)) (if (<=.f64 z 1549999999999999993830434673694868617709860488079210521090102187994771809808416768) (.f64 z (neg.f64 x)) (if (<=.f64 z 5400000000000000299384477723076911575007317684984211358137920963168348945403067142898371295345122439800412138652069896431198447278044737300779281290776889335828399797868330932813023954570883001535360339315954154471424) (.f64 y (.f64 z x)) (.f64 z (neg.f64 x))))))))))
(if (<=.f64 z -310000000000000) (.f64 z (neg.f64 x)) (if (<=.f64 z -1015937062247571/110427941548649020598956093796432407239217743554726184882600387580788736) (.f64 x (.f64 z y)) (if (<=.f64 z 7737125245533627/77371252455336267181195264) x (if (<=.f64 z 95000000000000) (.f64 x (.f64 z y)) (.f64 z (neg.f64 x))))))
(if (<=.f64 z -1) (.f64 z (neg.f64 x)) (if (<=.f64 z 1) x (.f64 z (neg.f64 x))))
x

Outputs
(if (<=.f64 z -9500000000000) (+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x) (if (<=.f64 z 5164499756173817/5164499756173817179311838344006023748659411585658447025661318713081295244033682389259290706560275662871806343945494986752) (.f64 x (-.f64 1 (.f64 (-.f64 1 y) z))) (+.f64 (.f64 y (.f64 z x)) (*.f64 (-.f64 1 z) x))))
(if (<=.f64 z -50000000000000) (+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x) (if (<=.f64 z 600000000000) (.f64 x (-.f64 1 (.f64 (-.f64 1 y) z))) (+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x)))
(if (<=.f64 (.f64 (-.f64 1 y) z) -20000000000000000347133368339382573870453505234990611224736886462437054770952482249848261400637690118797395263364344950671345201327496585184494821583360107684373027385378753248237715456) (.f64 z (.f64 (-.f64 y 1) x)) (if (<=.f64 (.f64 (-.f64 1 y) z) 39999999999999997486138098493475056401093230239587493100825002713807698410740413528150307135276363386938195289179600132648448207361831475318456484960712247853539567853690159104) (.f64 x (-.f64 1 (.f64 (-.f64 1 y) z))) (.f64 z (.f64 (-.f64 y 1) x))))
(if (<=.f64 z -350000000000) (.f64 z (.f64 (-.f64 y 1) x)) (if (<=.f64 z 2589569785738035/562949953421312) (.f64 x (+.f64 1 (.f64 y z))) (.f64 z (.f64 (-.f64 y 1) x))))
(if (<=.f64 y -1220000000000000042055658048447550999922138195584166853592838389838660297520263590176996046332283787079646259397230918623007236190874074685773346698082278091019612015841303712615348567761990388933512729449134291532382208) (.f64 z (.f64 y x)) (if (<=.f64 y -1) (.f64 x (+.f64 1 (.f64 y z))) (if (<=.f64 y 1) (.f64 (-.f64 1 z) x) (.f64 x (+.f64 1 (*.f64 y z))))))
(if (<=.f64 y -9999999999999999931398190359470212947659194368) (.f64 z (.f64 y x)) (if (<=.f64 y 17599999999999999365680324237362651868900355031679916748806412160523024522797528500728976700836657154163298012291356303582536737923847118519370642595582901747712) (.f64 (-.f64 1 z) x) (.f64 z (*.f64 y x))))
(if (<=.f64 z -6499999999999999760888028767101830070317474073092020186931598635302221106223799185509521031168) (.f64 z (neg.f64 x)) (if (<=.f64 z -84000000000000000437865279202133309957699796992) (.f64 z (.f64 y x)) (if (<=.f64 z -185000000000000) (.f64 z (neg.f64 x)) (if (<=.f64 z -7597442378547053/883423532389192164791648750371459257913741948437809479060803100646309888) (.f64 x (.f64 z y)) (if (<=.f64 z 332454600394023/302231454903657293676544) x (if (<=.f64 z 55000000000000) (.f64 y (.f64 z x)) (if (<=.f64 z 1199999999999999992194639624726952485308668475297491590825325392876076531712) (.f64 z (neg.f64 x)) (if (<=.f64 z 24000000000000000820297333909090880929075884009481258342880504702081624351088400779237167599115449147611712754195080475414431669313123713491884531042993683328398299973917154582046481469702856330582057791536706355200) (.f64 z (.f64 y x)) (.f64 z (neg.f64 x))))))))))
(if (<=.f64 z -5199999999999999993977765793387376733967555272374268714777254373266679348111173761068624248832) (.f64 z (neg.f64 x)) (if (<=.f64 z -880000000000000025524244681961693511680) (.f64 y (.f64 z x)) (if (<=.f64 z -185000000000000) (.f64 z (neg.f64 x)) (if (<=.f64 z -6686066773453359/215679573337205118357336120696157045389097155380324579848828881993728) (.f64 x (.f64 z y)) (if (<=.f64 z 3191564163782621/19342813113834066795298816) x (if (<=.f64 z 50000000000000) (.f64 y (.f64 z x)) (if (<=.f64 z 1549999999999999993830434673694868617709860488079210521090102187994771809808416768) (.f64 z (neg.f64 x)) (if (<=.f64 z 5400000000000000299384477723076911575007317684984211358137920963168348945403067142898371295345122439800412138652069896431198447278044737300779281290776889335828399797868330932813023954570883001535360339315954154471424) (.f64 y (.f64 z x)) (.f64 z (neg.f64 x))))))))))
(if (<=.f64 z -310000000000000) (.f64 z (neg.f64 x)) (if (<=.f64 z -1015937062247571/110427941548649020598956093796432407239217743554726184882600387580788736) (.f64 x (.f64 z y)) (if (<=.f64 z 7737125245533627/77371252455336267181195264) x (if (<=.f64 z 95000000000000) (.f64 x (.f64 z y)) (.f64 z (neg.f64 x))))))
(if (<=.f64 z -1) (.f64 z (neg.f64 x)) (if (<=.f64 z 1) x (.f64 z (neg.f64 x))))
x

Compiler

Compiled 423 to 240 computations (43.3% saved)

soundness0.0ms (0%)

end126.0ms (0.8%)

Compiler: Compiled 393 to 191 computations (51.4% saved)