Details

analyze278.0ms (4.9%)

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
36.4%	34.3%	60.1%	0.1%	5.5%	0%	0%	10
44.5%	41.3%	51.5%	0.1%	7%	0%	0%	11
51.5%	46.8%	44.1%	0.1%	9%	0%	0%	12

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.7s (29.4%)

Results

1.5s	8256×	body	256	valid
163.0ms	1277×	body	256	infinite

Bogosity

preprocess145.0ms (2.5%)

Algorithm

2×	egg-herbie

Rules

1340×	`rational_best-simplify-1`
726×	`rational_best-simplify-73`
578×	`rational_best-simplify-38`
568×	`rational_best-simplify-57`
462×	`rational_best-simplify-75`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	100
1	32	100
2	50	100
3	71	100
4	147	100
5	379	92
6	1305	76
7	6941	76
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify70.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1000×	`rational_best-simplify-49`
1000×	`rational_best-simplify-47`
990×	`rational_best-simplify-57`
758×	`rational_best-simplify-65`
734×	`rational_best-simplify-58`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	13	25
2	20	25
3	29	25
4	52	25
5	132	23
6	388	23
7	1799	23

Stop Event

1×	node limit

Counts

1 → 4

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 37 to 18 computations (51.4% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	2	2	4
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	2	3	5

Error

Counts

5 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
▶	0.0b	(+.f64 z (*.f64 x (+.f64 (neg.f64 z) y)))

Compiler

Compiled 23 to 15 computations (34.8% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 26 to 7 computations (73.1% saved)

series4.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite142.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1378×	`rational_best-4`
1378×	`rational_best-2`
1378×	`rational_best-3`
1378×	`rational_best-1`
1376×	`exponential-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	72	19
2	204	19
3	860	19
4	4252	19

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

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

Outputs

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

simplify265.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

1208×	`rational_best-simplify-65`
1184×	`rational_best-simplify-38`
1080×	`rational_best-simplify-1`
746×	`rational_best-simplify-44`
686×	`rational_best-simplify-78`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	126	1984
1	288	1984
2	727	1582
3	3157	1322
4	7350	1322

Stop Event

1×	node limit

Counts

74 → 58

Calls

Call 1

Inputs
(*.f64 y x)
(+.f64 (.f64 (+.f64 1 (.f64 -1 x)) z) (*.f64 y x))
(+.f64 (.f64 (+.f64 1 (.f64 -1 x)) z) (*.f64 y x))
(+.f64 (.f64 (+.f64 1 (.f64 -1 x)) z) (*.f64 y x))
(.f64 (+.f64 1 (.f64 -1 x)) z)
(+.f64 (.f64 (+.f64 1 (.f64 -1 x)) z) (*.f64 y x))
(+.f64 (.f64 (+.f64 1 (.f64 -1 x)) z) (*.f64 y x))
(+.f64 (.f64 (+.f64 1 (.f64 -1 x)) z) (*.f64 y x))
(.f64 -1 (.f64 (-.f64 x 1) z))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 (-.f64 x 1) z)))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 (-.f64 x 1) z)))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 (-.f64 x 1) z)))
z
(+.f64 (*.f64 (-.f64 y z) x) z)
(+.f64 (*.f64 (-.f64 y z) x) z)
(+.f64 (*.f64 (-.f64 y z) x) z)
(*.f64 (-.f64 y z) x)
(+.f64 (*.f64 (-.f64 y z) x) z)
(+.f64 (*.f64 (-.f64 y z) x) z)
(+.f64 (*.f64 (-.f64 y z) x) z)
(*.f64 (-.f64 y z) x)
(+.f64 (*.f64 (-.f64 y z) x) z)
(+.f64 (*.f64 (-.f64 y z) x) z)
(+.f64 (*.f64 (-.f64 y z) x) z)
(+.f64 (.f64 -1 (.f64 z x)) z)
(+.f64 (.f64 y x) (+.f64 z (.f64 -1 (*.f64 z x))))
(+.f64 (.f64 y x) (+.f64 z (.f64 -1 (*.f64 z x))))
(+.f64 (.f64 y x) (+.f64 z (.f64 -1 (*.f64 z x))))
(*.f64 y x)
(+.f64 (.f64 y x) (+.f64 z (.f64 -1 (*.f64 z x))))
(+.f64 (.f64 y x) (+.f64 z (.f64 -1 (*.f64 z x))))
(+.f64 (.f64 y x) (+.f64 z (.f64 -1 (*.f64 z x))))
(*.f64 y x)
(+.f64 (.f64 y x) (+.f64 (.f64 -1 (*.f64 z x)) z))
(+.f64 (.f64 y x) (+.f64 (.f64 -1 (*.f64 z x)) z))
(+.f64 (.f64 y x) (+.f64 (.f64 -1 (*.f64 z x)) z))
(-.f64 z (*.f64 x (-.f64 z y)))
(-.f64 (*.f64 x (-.f64 y z)) (neg.f64 z))
(-.f64 (+.f64 z (*.f64 x (-.f64 y z))) 0)
(-.f64 0 (-.f64 (*.f64 x (-.f64 z y)) z))
(-.f64 (.f64 x y) (-.f64 (.f64 z x) z))
(-.f64 (.f64 (neg.f64 z) (+.f64 x -1)) (.f64 x (neg.f64 y)))
(-.f64 (.f64 x (+.f64 z y)) (+.f64 (neg.f64 z) (.f64 x (+.f64 z z))))
(-.f64 (.f64 x (.f64 (-.f64 y z) 1/2)) (-.f64 (neg.f64 z) (.f64 x (.f64 (-.f64 y z) 1/2))))
(-.f64 (.f64 z 1/2) (-.f64 (.f64 x (-.f64 z y)) (*.f64 z 1/2)))
(-.f64 (+.f64 z (.f64 x (.f64 (-.f64 y z) 1/2))) (neg.f64 (.f64 x (.f64 (-.f64 y z) 1/2))))
(-.f64 (+.f64 (.f64 x (-.f64 y z)) (.f64 z 1/2)) (*.f64 z -1/2))
(-.f64 (+.f64 (.f64 x y) (.f64 z 1/2)) (-.f64 (.f64 z x) (.f64 z 1/2)))
(-.f64 (+.f64 (.f64 x (+.f64 z y)) (.f64 z 1/2)) (-.f64 (.f64 x (+.f64 z z)) (.f64 z 1/2)))
(-.f64 (+.f64 z (.f64 x (-.f64 z y))) (.f64 (*.f64 x (-.f64 y z)) -2))
(-.f64 (+.f64 (neg.f64 z) (.f64 x (-.f64 y z))) (.f64 z -2))
(.f64 (+.f64 z (.f64 x (-.f64 y z))) 1)
(.f64 1 (+.f64 z (.f64 x (-.f64 y z))))
(.f64 -1 (-.f64 (.f64 x (-.f64 z y)) z))
(.f64 2 (.f64 (+.f64 z (*.f64 x (-.f64 y z))) 1/2))
(.f64 (-.f64 (.f64 x (-.f64 z y)) z) -1)
(.f64 (.f64 (+.f64 z (*.f64 x (-.f64 y z))) 2) 1/2)
(.f64 (.f64 (+.f64 z (*.f64 x (-.f64 y z))) 1/2) 2)
(.f64 1/2 (.f64 (+.f64 z (*.f64 x (-.f64 y z))) 2))
(.f64 (-.f64 (.f64 (-.f64 z y) (.f64 x 1/2)) (.f64 z 1/2)) -2)
(.f64 (-.f64 (.f64 (neg.f64 x) (.f64 (-.f64 y z) 1/2)) (.f64 z 1/2)) -2)
(.f64 (-.f64 (neg.f64 (.f64 x (.f64 (-.f64 y z) 1/2))) (.f64 z 1/2)) -2)
(.f64 (-.f64 (.f64 z -1/2) (.f64 x (.f64 (-.f64 y z) 1/2))) -2)
(/.f64 (+.f64 z (*.f64 x (-.f64 y z))) 1)
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(/.f64 (.f64 2 (.f64 (+.f64 z (*.f64 x (-.f64 y z))) 2)) 4)
(/.f64 (.f64 (+.f64 z (.f64 x (-.f64 y z))) -2) -2)
(/.f64 (.f64 (+.f64 z (.f64 x (-.f64 y z))) 2) 2)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 z (.f64 x (-.f64 y z))) 2)) (.f64 2 (.f64 (+.f64 z (.f64 x (-.f64 y z))) 2))) 8)
(/.f64 (+.f64 (.f64 (+.f64 z (.f64 x (-.f64 y z))) -2) (.f64 (+.f64 z (.f64 x (-.f64 y z))) -2)) -4)
(/.f64 (+.f64 (.f64 z -2) (.f64 (*.f64 x (-.f64 y z)) -2)) -2)
(/.f64 (+.f64 (.f64 (+.f64 x x) (.f64 (-.f64 y z) 2)) (*.f64 2 (+.f64 z z))) 4)
(pow.f64 (+.f64 z (*.f64 x (-.f64 y z))) 1)
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Outputs
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z
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(+.f64 z (*.f64 x (-.f64 y z)))
(/.f64 (-.f64 (*.f64 x (-.f64 z y)) z) -1)
(+.f64 (.f64 y x) (.f64 (+.f64 1 (neg.f64 x)) z))
(+.f64 (.f64 y x) (+.f64 z (.f64 (neg.f64 x) z)))
(+.f64 z (*.f64 x (+.f64 y (neg.f64 z))))
(+.f64 z (*.f64 x (-.f64 y z)))
(/.f64 (.f64 2 (.f64 (+.f64 z (*.f64 x (-.f64 y z))) 2)) 4)
(+.f64 (.f64 y x) (.f64 (+.f64 1 (neg.f64 x)) z))
(+.f64 (.f64 y x) (+.f64 z (.f64 (neg.f64 x) z)))
(+.f64 z (*.f64 x (+.f64 y (neg.f64 z))))
(+.f64 z (*.f64 x (-.f64 y z)))
(/.f64 (.f64 (+.f64 z (.f64 x (-.f64 y z))) -2) -2)
(+.f64 (.f64 y x) (.f64 (+.f64 1 (neg.f64 x)) z))
(+.f64 (.f64 y x) (+.f64 z (.f64 (neg.f64 x) z)))
(+.f64 z (*.f64 x (+.f64 y (neg.f64 z))))
(+.f64 z (*.f64 x (-.f64 y z)))
(/.f64 (.f64 (+.f64 z (.f64 x (-.f64 y z))) 2) 2)
(+.f64 (.f64 y x) (.f64 (+.f64 1 (neg.f64 x)) z))
(+.f64 (.f64 y x) (+.f64 z (.f64 (neg.f64 x) z)))
(+.f64 z (*.f64 x (+.f64 y (neg.f64 z))))
(+.f64 z (*.f64 x (-.f64 y z)))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 z (.f64 x (-.f64 y z))) 2)) (.f64 2 (.f64 (+.f64 z (.f64 x (-.f64 y z))) 2))) 8)
(+.f64 (.f64 y x) (.f64 (+.f64 1 (neg.f64 x)) z))
(+.f64 (.f64 y x) (+.f64 z (.f64 (neg.f64 x) z)))
(+.f64 z (*.f64 x (+.f64 y (neg.f64 z))))
(+.f64 z (*.f64 x (-.f64 y z)))
(/.f64 (+.f64 (.f64 (+.f64 z (.f64 x (-.f64 y z))) -2) (.f64 (+.f64 z (.f64 x (-.f64 y z))) -2)) -4)
(+.f64 (.f64 y x) (.f64 (+.f64 1 (neg.f64 x)) z))
(+.f64 (.f64 y x) (+.f64 z (.f64 (neg.f64 x) z)))
(+.f64 z (*.f64 x (+.f64 y (neg.f64 z))))
(+.f64 z (*.f64 x (-.f64 y z)))
(/.f64 (+.f64 (.f64 z -2) (.f64 (*.f64 x (-.f64 y z)) -2)) -2)
(+.f64 (.f64 y x) (.f64 (+.f64 1 (neg.f64 x)) z))
(+.f64 (.f64 y x) (+.f64 z (.f64 (neg.f64 x) z)))
(+.f64 z (*.f64 x (+.f64 y (neg.f64 z))))
(+.f64 z (*.f64 x (-.f64 y z)))
(/.f64 (+.f64 (.f64 (+.f64 x x) (.f64 (-.f64 y z) 2)) (*.f64 2 (+.f64 z z))) 4)
(+.f64 (.f64 y x) (.f64 (+.f64 1 (neg.f64 x)) z))
(+.f64 (.f64 y x) (+.f64 z (.f64 (neg.f64 x) z)))
(+.f64 z (*.f64 x (+.f64 y (neg.f64 z))))
(+.f64 z (*.f64 x (-.f64 y z)))
(pow.f64 (+.f64 z (*.f64 x (-.f64 y z))) 1)
(+.f64 (.f64 y x) (.f64 (+.f64 1 (neg.f64 x)) z))
(+.f64 (.f64 y x) (+.f64 z (.f64 (neg.f64 x) z)))
(+.f64 z (*.f64 x (+.f64 y (neg.f64 z))))
(+.f64 z (*.f64 x (-.f64 y z)))
(neg.f64 (-.f64 (*.f64 x (-.f64 z y)) z))
(+.f64 (.f64 y x) (.f64 (+.f64 1 (neg.f64 x)) z))
(+.f64 (.f64 y x) (+.f64 z (.f64 (neg.f64 x) z)))
(+.f64 z (*.f64 x (+.f64 y (neg.f64 z))))
(+.f64 z (*.f64 x (-.f64 y z)))

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 27 to 14 computations (48.1% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite81.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

914×	`rational_best-simplify-55`
820×	`rational_best-simplify-47`
758×	`rational_best-simplify-62`
746×	`rational_best-simplify-49`
728×	`rational_best-simplify-57`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	44	13
2	110	13
3	483	13
4	1926	13

Stop Event

1×	node limit

Counts

1 → 130

Calls

Call 1

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

Outputs
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Outputs

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

simplify156.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1106×	`rational_best-simplify-65`
1008×	`rational_best-simplify-3`
894×	`rational_best-simplify-61`
818×	`rational_best-simplify-63`
796×	`rational_best-simplify-53`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	297	2810
1	927	2186
2	2868	2122

Stop Event

1×	node limit

Counts

154 → 151

Calls

Call 1

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

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

eval87.0ms (1.5%)

Compiler: Compiled 3320 to 1501 computations (54.8% saved)

prune34.0ms (0.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	202	7	209
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	204	7	211

Error

Counts

211 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(-.f64 z (*.f64 x (-.f64 z y)))
	21.3b	(-.f64 z (*.f64 x z))
▶	16.2b	(+.f64 (*.f64 x y) z)
▶	26.5b	(*.f64 (-.f64 y z) x)
▶	21.3b	(*.f64 z (-.f64 1 x))
▶	42.1b	(*.f64 y x)
	36.6b	z

Compiler

Compiled 100 to 65 computations (35% saved)

localize133.0ms (2.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 21 to 6 computations (71.4% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite96.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1190×	`rational_best-4`
1190×	`rational_best-2`
1190×	`rational_best-3`
1190×	`rational_best-1`
1190×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	58	19
2	184	19
3	793	19
4	4133	19

Stop Event

1×	node limit

Counts

1 → 59

Calls

Call 1

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

Outputs

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

simplify170.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1348×	`rational_best-simplify-1`
1088×	`rational_best-simplify-44`
996×	`rational_best-simplify-47`
922×	`rational_best-simplify-71`
632×	`rational_best-simplify-77`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	147	1839
1	323	1839
2	894	1839
3	5215	1839

Stop Event

1×	node limit

Counts

95 → 76

Calls

Call 1

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

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

localize3.0ms (0.1%)

Compiler: Compiled 8 to 4 computations (50% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite222.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1050×	`rational_best-simplify-55`
994×	`rational_best-simplify-47`
918×	`rational_best-simplify-49`
856×	`rational_best-simplify-57`
762×	`rational_best-simplify-58`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	51	13
2	152	13
3	571	13
4	2279	13

Stop Event

1×	node limit

Counts

1 → 147

Calls

Call 1

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

Outputs

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

simplify152.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1226×	`rational_best-simplify-3`
964×	`rational_best-simplify-61`
718×	`rational_best-simplify-69`
616×	`rational_best-simplify-1`
576×	`rational_best-simplify-68`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	342	3039
1	1033	2411
2	3186	2317

Stop Event

1×	node limit

Counts

159 → 172

Calls

Call 1

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

Outputs
z
(+.f64 (.f64 -1 (.f64 z x)) z)
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) z)
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) z)
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(.f64 -1 (.f64 z x))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(+.f64 z (.f64 -1 (.f64 z x)))
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(+.f64 z (.f64 -1 (.f64 z x)))
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(+.f64 z (.f64 -1 (.f64 z x)))
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(.f64 -1 (.f64 z x))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(+.f64 z (.f64 -1 (.f64 z x)))
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(+.f64 z (.f64 -1 (.f64 z x)))
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(+.f64 z (.f64 -1 (.f64 z x)))
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(+.f64 (-.f64 z (*.f64 z x)) 0)
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(+.f64 (-.f64 z (.f64 z x)) (+.f64 (.f64 z (+.f64 x (+.f64 x -2))) (.f64 z (+.f64 2 (.f64 x -2)))))
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(+.f64 0 (-.f64 z (*.f64 z x)))
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(+.f64 (neg.f64 z) (+.f64 (+.f64 z z) (*.f64 x (neg.f64 z))))
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(+.f64 (neg.f64 z) (+.f64 (.f64 z x) (.f64 z (+.f64 2 (*.f64 x -2)))))
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(+.f64 (.f64 z x) (+.f64 (neg.f64 z) (.f64 z (+.f64 2 (*.f64 x -2)))))
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(+.f64 (+.f64 z z) (-.f64 (neg.f64 z) (*.f64 z x)))
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(+.f64 (.f64 z (+.f64 2 (.f64 x -2))) (-.f64 (*.f64 z x) z))
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(+.f64 (-.f64 (.f64 z x) z) (.f64 z (+.f64 2 (*.f64 x -2))))
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(+.f64 (*.f64 x (neg.f64 z)) z)
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(+.f64 (.f64 z 1/2) (-.f64 (.f64 z 1/2) (*.f64 z x)))
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(+.f64 (.f64 z 1/2) (+.f64 (.f64 x (neg.f64 z)) (*.f64 z 1/2)))
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(+.f64 (.f64 z 1/2) (+.f64 (+.f64 (.f64 x (neg.f64 z)) (*.f64 z 1/2)) 0))
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(+.f64 (.f64 z 1/2) (+.f64 (/.f64 (.f64 z x) -2) (.f64 (-.f64 1 x) (.f64 z 1/2))))
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(+.f64 (.f64 (-.f64 1 x) (.f64 z 1/2)) (.f64 (-.f64 1 x) (.f64 z 1/2)))
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(+.f64 (+.f64 (.f64 x (neg.f64 z)) (.f64 x (neg.f64 z))) (+.f64 z (*.f64 z x)))
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(+.f64 (/.f64 z -2) (+.f64 (-.f64 (.f64 z x) (.f64 z 1/2)) (.f64 z (+.f64 2 (.f64 x -2)))))
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(+.f64 (/.f64 z -2) (+.f64 (+.f64 z (.f64 z 1/2)) (.f64 x (neg.f64 z))))
(+.f64 (.f64 x (neg.f64 z)) (+.f64 (+.f64 z (.f64 z 1/2)) (/.f64 z -2)))
(+.f64 (/.f64 z -2) (+.f64 (.f64 z 1/2) (-.f64 z (.f64 z x))))
(+.f64 (.f64 z -1/2) (+.f64 z (.f64 z (+.f64 (neg.f64 x) 1/2))))
(+.f64 (.f64 (neg.f64 z) (+.f64 1/2 (/.f64 x -2))) (+.f64 (.f64 (neg.f64 z) (+.f64 1/2 (/.f64 x -2))) (.f64 z (+.f64 2 (.f64 x -2)))))
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(+.f64 (.f64 (+.f64 x -1) (.f64 z 1/2)) (+.f64 (.f64 (+.f64 x -1) (.f64 z 1/2)) (.f64 z (+.f64 2 (.f64 x -2)))))
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(+.f64 (.f64 (neg.f64 x) (.f64 z 1/2)) (+.f64 (.f64 (neg.f64 x) (.f64 z 1/2)) z))
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(+.f64 (.f64 (neg.f64 z) (.f64 x 1/2)) (+.f64 (.f64 (neg.f64 z) (.f64 x 1/2)) z))
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(+.f64 (/.f64 (-.f64 z (.f64 z x)) -2) (+.f64 (/.f64 (-.f64 z (.f64 z x)) -2) (.f64 z (+.f64 2 (.f64 x -2)))))
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(+.f64 (/.f64 (.f64 z x) -2) (+.f64 (.f64 z 1/2) (.f64 (-.f64 1 x) (.f64 z 1/2))))
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(+.f64 (/.f64 (-.f64 (.f64 z x) z) -4) (+.f64 (/.f64 (-.f64 (.f64 z x) z) -4) (.f64 (-.f64 1 x) (.f64 z 1/2))))
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(+.f64 (/.f64 z 4) (+.f64 (/.f64 z 4) (+.f64 (.f64 x (neg.f64 z)) (.f64 z 1/2))))
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(+.f64 (+.f64 z (.f64 (-.f64 1 x) (.f64 z 1/2))) (-.f64 (.f64 (-.f64 1 x) (.f64 z 1/2)) z))
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(+.f64 (+.f64 (-.f64 1 x) (.f64 (-.f64 1 x) (.f64 z 1/2))) (-.f64 x (-.f64 1 (.f64 (-.f64 1 x) (.f64 z 1/2)))))
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(+.f64 (-.f64 (neg.f64 z) (*.f64 z x)) (+.f64 z z))
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(+.f64 (-.f64 (neg.f64 z) (.f64 z x)) (+.f64 (.f64 z (+.f64 x x)) (.f64 z (+.f64 2 (.f64 x -2)))))
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(+.f64 (-.f64 x (-.f64 1 (.f64 z 1/2))) (+.f64 (+.f64 (-.f64 1 x) (.f64 z 1/2)) (*.f64 x (neg.f64 z))))
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(+.f64 (-.f64 (.f64 z 1/2) (.f64 z x)) (*.f64 z 1/2))
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(+.f64 (+.f64 (.f64 x (neg.f64 z)) (.f64 z 1/2)) (*.f64 z 1/2))
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(+.f64 (-.f64 x (-.f64 1 (.f64 (-.f64 1 x) (.f64 z 1/2)))) (+.f64 (-.f64 1 x) (.f64 (-.f64 1 x) (.f64 z 1/2))))
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(+.f64 (-.f64 x (-.f64 1 (.f64 (-.f64 1 x) (.f64 z 1/2)))) (+.f64 (+.f64 (-.f64 1 x) (.f64 (-.f64 1 x) (.f64 z 1/2))) 0))
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(+.f64 (-.f64 (.f64 (-.f64 1 x) (.f64 z 1/2)) z) (+.f64 z (.f64 (-.f64 1 x) (.f64 z 1/2))))
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(+.f64 (-.f64 (.f64 (-.f64 1 x) (.f64 z 1/2)) z) (+.f64 (+.f64 z (.f64 (-.f64 1 x) (.f64 z 1/2))) 0))
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(+.f64 (+.f64 z (.f64 z x)) (+.f64 (.f64 x (neg.f64 z)) (*.f64 x (neg.f64 z))))
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(+.f64 (+.f64 z (.f64 z x)) (+.f64 (+.f64 (.f64 x (neg.f64 z)) (*.f64 x (neg.f64 z))) 0))
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(-.f64 z (*.f64 z x))
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (+.f64 (+.f64 z (*.f64 z x)) (neg.f64 z)))
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(-.f64 z (+.f64 (.f64 z (+.f64 x (+.f64 x -2))) (+.f64 z (-.f64 z (.f64 z x)))))
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(-.f64 1 (+.f64 (+.f64 (-.f64 1 x) (-.f64 (*.f64 z x) z)) x))
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(-.f64 (-.f64 1 x) (+.f64 (-.f64 1 x) (-.f64 (*.f64 z x) z)))
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(-.f64 (-.f64 1 x) (+.f64 (*.f64 z x) (-.f64 1 (+.f64 z x))))
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(-.f64 (-.f64 1 x) (+.f64 (+.f64 (-.f64 1 x) (-.f64 (*.f64 z x) z)) 0))
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(-.f64 (-.f64 1 x) (+.f64 (.f64 z (+.f64 x (+.f64 x -2))) (+.f64 (-.f64 1 x) (-.f64 z (.f64 z x)))))
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(-.f64 (-.f64 z (*.f64 z x)) 0)
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(-.f64 (-.f64 z (.f64 z x)) (-.f64 (-.f64 (.f64 z x) z) (-.f64 (*.f64 z x) z)))
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(-.f64 0 (-.f64 (*.f64 z x) z))
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(-.f64 0 (+.f64 (+.f64 z (.f64 z x)) (.f64 z -2)))
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(-.f64 0 (+.f64 (+.f64 (-.f64 1 x) (-.f64 (*.f64 z x) z)) (+.f64 x -1)))
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(-.f64 (neg.f64 z) (+.f64 (.f64 z x) (.f64 z -2)))
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(-.f64 (neg.f64 z) (-.f64 0 (+.f64 z (-.f64 z (*.f64 z x)))))
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(-.f64 (neg.f64 z) (+.f64 (.f64 z (+.f64 x (+.f64 x -2))) (.f64 x (neg.f64 z))))
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(-.f64 (.f64 z x) (+.f64 (.f64 z (+.f64 x (+.f64 x -2))) z))
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(-.f64 (+.f64 z z) (+.f64 z (*.f64 z x)))
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(-.f64 (+.f64 z z) (-.f64 (.f64 z (+.f64 x x)) (-.f64 (.f64 z x) z)))
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))
(-.f64 (+.f64 z z) (+.f64 (+.f64 z (*.f64 z x)) 0))
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(/.f64 (/.f64 (.f64 (neg.f64 z) (.f64 2 (+.f64 2 (*.f64 x -2)))) -1) 4)
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(pow.f64 (-.f64 z (*.f64 z x)) 1)
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(-.f64 z (*.f64 z x))
(neg.f64 (-.f64 (*.f64 z x) z))
(+.f64 z (*.f64 x (neg.f64 z)))
(-.f64 z (*.f64 z x))

localize5.0ms (0.1%)

Compiler: Compiled 14 to 5 computations (64.3% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite74.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

818×	`rational_best-simplify-55`
790×	`rational_best-simplify-65`
724×	`rational_best-simplify-47`
666×	`rational_best-simplify-66`
602×	`rational_best-simplify-61`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	46	13
2	115	13
3	455	13
4	1680	13

Stop Event

1×	node limit

Counts

1 → 75

Calls

Call 1

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

Outputs

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

simplify67.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

840×	`rational_best-simplify-58`
788×	`rational_best-simplify-66`
628×	`rational_best-simplify-63`
616×	`rational_best-simplify-79`
608×	`rational_best-simplify-47`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	181	1383
1	473	1383
2	1246	1383

Stop Event

1×	node limit

Counts

111 → 80

Calls

Call 1

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

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

eval63.0ms (1.1%)

Compiler: Compiled 4426 to 1994 computations (54.9% saved)

prune56.0ms (1%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	326	2	328
Fresh	1	1	2
Picked	0	1	1
Done	0	4	4
Total	327	8	335

Error

Counts

335 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	21.3b	(-.f64 z (*.f64 z x))
✓	0.0b	(-.f64 z (*.f64 x (-.f64 z y)))
✓	16.2b	(+.f64 (*.f64 x y) z)
✓	26.5b	(*.f64 (-.f64 y z) x)
✓	21.3b	(*.f64 z (-.f64 1 x))
▶	47.1b	(*.f64 z (neg.f64 x))
✓	42.1b	(*.f64 y x)
	36.6b	z

Compiler

Compiled 59 to 39 computations (33.9% saved)

localize4.0ms (0.1%)

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 5 computations (61.5% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite79.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1160×	`rational_best-simplify-55`
1082×	`rational_best-simplify-49`
1006×	`rational_best-simplify-57`
946×	`rational_best-simplify-47`
770×	`rational_best-simplify-58`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	39	13
2	107	13
3	470	13
4	1887	13

Stop Event

1×	node limit

Counts

1 → 70

Calls

Call 1

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

Outputs

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

simplify136.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1448×	`rational_best-simplify-1`
1084×	`rational_best-simplify-44`
904×	`rational_best-simplify-3`
652×	`rational_best-simplify-53`
542×	`rational_best-simplify-61`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	156	1278
1	372	1278
2	957	1278
3	5125	1278

Stop Event

1×	node limit

Counts

94 → 79

Calls

Call 1

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

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

eval15.0ms (0.3%)

Compiler: Compiled 850 to 401 computations (52.8% saved)

prune12.0ms (0.2%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	1	1
Picked	0	1	1
Done	0	6	6
Total	79	8	87

Error

Counts

87 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	21.3b	(-.f64 z (*.f64 z x))
✓	0.0b	(-.f64 z (*.f64 x (-.f64 z y)))
✓	16.2b	(+.f64 (*.f64 x y) z)
✓	26.5b	(*.f64 (-.f64 y z) x)
✓	21.3b	(*.f64 z (-.f64 1 x))
✓	47.1b	(*.f64 z (neg.f64 x))
✓	42.1b	(*.f64 y x)
	36.6b	z

Compiler

Compiled 59 to 39 computations (33.9% saved)

eval0.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

prune6.0ms (0.1%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	7	7
Total	8	8

Error

Counts

8 → 8

Alt Table

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Status	Error	Program
✓	21.3b	(-.f64 z (*.f64 z x))
✓	0.0b	(-.f64 z (*.f64 x (-.f64 z y)))
✓	16.2b	(+.f64 (*.f64 x y) z)
✓	26.5b	(*.f64 (-.f64 y z) x)
✓	21.3b	(*.f64 z (-.f64 1 x))
✓	47.1b	(*.f64 z (neg.f64 x))
✓	42.1b	(*.f64 y x)
	36.6b	z

Compiler

Compiled 59 to 39 computations (33.9% saved)

regimes30.0ms (0.5%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

4 calls:

8.0ms	y
7.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
6.0ms	x
6.0ms	z

Results

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

Compiler

Compiled 84 to 45 computations (46.4% saved)

regimes191.0ms (3.4%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

3 calls:

152.0ms	z
23.0ms	y
14.0ms	x

Results

Error	Segments	Branch
1.0b	3	`x`
5.5b	4	`y`
6.8b	4	`z`

Compiler

Compiled 48 to 26 computations (45.8% saved)

bsearch63.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	0.006561216093076076	595030894581.0042
47.0ms	-70003197291823.05	-58108281520236.82

Results

61.0ms	208×	body	256	valid
0.0ms	2×	body	256	infinite

Compiler

Compiled 252 to 169 computations (32.9% saved)

regimes205.0ms (3.6%)

Counts

5 → 5

Calls

Call 1

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

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

Calls

3 calls:

169.0ms	x
20.0ms	y
14.0ms	z

Results

Error	Segments	Branch
8.2b	5	`x`
13.0b	5	`y`
9.6b	3	`z`

Compiler

Compiled 33 to 20 computations (39.4% saved)

bsearch95.0ms (1.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
14.0ms	2.9103468192425647e-50	6.2158481955895854e-43
51.0ms	-1.9676629467733047e-73	-1.5807741128679084e-77
14.0ms	-5.989958043631666e-23	-2.747828032949428e-28
15.0ms	-777.8785974147299	-0.1850330837285619

Results

89.0ms

544×

body

256

valid

Compiler

Compiled 630 to 455 computations (27.8% saved)

regimes181.0ms (3.2%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

142.0ms	x
22.0ms	y
16.0ms	z

Results

Error	Segments	Branch
17.7b	5	`x`
15.8b	5	`y`
13.1b	3	`z`

Compiler

Compiled 28 to 18 computations (35.7% saved)

bsearch64.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	1.7836273519619816e-129	1.7089311521454272e-125
52.0ms	-4.90710963493503e-113	-8.386363581943544e-116

Results

61.0ms

256×

body

256

valid

Compiler

Compiled 274 to 205 computations (25.2% saved)

regimes94.0ms (1.6%)

Counts

3 → 5

Calls

Call 1

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

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

Calls

3 calls:

53.0ms	z
22.0ms	y
18.0ms	x

Results

Error	Segments	Branch
18.3b	5	`x`
25.9b	7	`y`
25.1b	3	`z`

Compiler

Compiled 23 to 15 computations (34.8% saved)

bsearch102.0ms (1.8%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
24.0ms	1.893001510898545e+176	6.764390382138506e+182
17.0ms	2.9103468192425647e-50	6.2158481955895854e-43
57.0ms	-3.383956174420251e-53	-1.5645542190441196e-54
5.0ms	-70003197291823.05	-58108281520236.82

Results

87.0ms	448×	body	256	valid
10.0ms	70×	body	256	infinite

Compiler

Compiled 390 to 289 computations (25.9% saved)

regimes118.0ms (2.1%)

Accuracy

Total -37.1b remaining (-149.2%)

Threshold costs -37.1b (-149.2%)

Counts

2 → 3

Calls

Call 1

Inputs
z
(*.f64 y x)

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

Calls

3 calls:

94.0ms	x
15.0ms	y
8.0ms	z

Results

Error	Segments	Branch
24.9b	3	`x`
28.5b	5	`y`
25.1b	3	`z`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch32.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	2.9103468192425647e-50	6.2158481955895854e-43
13.0ms	-3.383956174420251e-53	-1.5645542190441196e-54

Results

30.0ms

256×

body

256

valid

Compiler

Compiled 210 to 157 computations (25.2% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	335

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 z (*.f64 x (-.f64 z y)))
(if (<=.f64 x -59000000000000) (.f64 (-.f64 y z) x) (if (<=.f64 x 1) (+.f64 (.f64 x y) z) (*.f64 (-.f64 y z) x)))
(if (<=.f64 x -3422735716801577/9007199254740992) (.f64 (-.f64 y z) x) (if (<=.f64 x -1742245718635205/10889035741470030830827987437816582766592) (.f64 z (-.f64 1 x)) (if (<=.f64 x -7129625917170701/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752) (.f64 (-.f64 y z) x) (if (<=.f64 x 2259756624739205/25108406941546723055343157692830665664409421777856138051584) (.f64 z (-.f64 1 x)) (*.f64 (-.f64 y z) x)))))
(if (<=.f64 z -1663601816472489/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296) (.f64 z (-.f64 1 x)) (if (<=.f64 z 8584808513368979/390218568789499028922699653724145788218574767833121393857394619953171467352470702515038262882936496394978366390175827861930996959911035663286272) (.f64 y x) (*.f64 z (-.f64 1 x))))
(if (<=.f64 x -65000000000000) (.f64 z (neg.f64 x)) (if (<=.f64 x -6039028053441743/215679573337205118357336120696157045389097155380324579848828881993728) (.f64 y x) (if (<=.f64 x 3640719006524275/6277101735386680763835789423207666416102355444464034512896) z (if (<=.f64 x 519999999999999981378900888362664429497144829633330719278528529972989557779486540277946432356992318777198682833993730317932672425456606439165765727908945750247624322301609115648) (.f64 y x) (.f64 z (neg.f64 x))))))
(if (<=.f64 x -4529271040081307/215679573337205118357336120696157045389097155380324579848828881993728) (.f64 y x) (if (<=.f64 x 100272933961761/51422017416287688817342786954917203280710495801049370729644032) z (.f64 y x)))
z

Outputs
(-.f64 z (*.f64 x (-.f64 z y)))
(if (<=.f64 x -59000000000000) (.f64 (-.f64 y z) x) (if (<=.f64 x 1) (+.f64 (.f64 x y) z) (*.f64 (-.f64 y z) x)))
(if (<=.f64 x -3422735716801577/9007199254740992) (.f64 (-.f64 y z) x) (if (<=.f64 x -1742245718635205/10889035741470030830827987437816582766592) (.f64 z (-.f64 1 x)) (if (<=.f64 x -7129625917170701/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752) (.f64 (-.f64 y z) x) (if (<=.f64 x 2259756624739205/25108406941546723055343157692830665664409421777856138051584) (.f64 z (-.f64 1 x)) (*.f64 (-.f64 y z) x)))))
(if (<=.f64 z -1663601816472489/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296) (.f64 z (-.f64 1 x)) (if (<=.f64 z 8584808513368979/390218568789499028922699653724145788218574767833121393857394619953171467352470702515038262882936496394978366390175827861930996959911035663286272) (.f64 y x) (*.f64 z (-.f64 1 x))))
(if (<=.f64 x -65000000000000) (.f64 z (neg.f64 x)) (if (<=.f64 x -6039028053441743/215679573337205118357336120696157045389097155380324579848828881993728) (.f64 y x) (if (<=.f64 x 3640719006524275/6277101735386680763835789423207666416102355444464034512896) z (if (<=.f64 x 519999999999999981378900888362664429497144829633330719278528529972989557779486540277946432356992318777198682833993730317932672425456606439165765727908945750247624322301609115648) (.f64 y x) (.f64 z (neg.f64 x))))))
(if (<=.f64 x -4529271040081307/215679573337205118357336120696157045389097155380324579848828881993728) (.f64 y x) (if (<=.f64 x 100272933961761/51422017416287688817342786954917203280710495801049370729644032) z (.f64 y x)))
z

Compiler

Compiled 160 to 89 computations (44.4% saved)

soundness137.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1000×	`rational_best-simplify-49`
1000×	`rational_best-simplify-47`
990×	`rational_best-simplify-57`
758×	`rational_best-simplify-65`
734×	`rational_best-simplify-58`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	13	25
2	20	25
3	29	25
4	52	25
5	132	23
6	388	23
7	1799	23

Stop Event

1×	node limit

Compiler

Compiled 166 to 65 computations (60.8% saved)

end96.0ms (1.7%)

Compiler: Compiled 142 to 67 computations (52.8% saved)

Details

analyze278.0ms (4.9%)

sample1.7s (29.4%)

preprocess145.0ms (2.5%)

simplify70.0ms (1.2%)

eval1.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.1%)

series4.0ms (0.1%)

rewrite142.0ms (2.5%)

simplify265.0ms (4.7%)

localize10.0ms (0.2%)

series2.0ms (0%)

rewrite81.0ms (1.4%)

simplify156.0ms (2.7%)

eval87.0ms (1.5%)

prune34.0ms (0.6%)

localize133.0ms (2.3%)

series2.0ms (0%)

rewrite96.0ms (1.7%)

simplify170.0ms (3%)

localize3.0ms (0.1%)

localize6.0ms (0.1%)

series0.0ms (0%)

rewrite222.0ms (3.9%)

simplify152.0ms (2.7%)

localize5.0ms (0.1%)

localize6.0ms (0.1%)

series1.0ms (0%)

rewrite74.0ms (1.3%)

simplify67.0ms (1.2%)

eval63.0ms (1.1%)

prune56.0ms (1%)

localize4.0ms (0.1%)

localize5.0ms (0.1%)

series2.0ms (0%)

rewrite79.0ms (1.4%)

simplify136.0ms (2.4%)

eval15.0ms (0.3%)

prune12.0ms (0.2%)

eval0.0ms (0%)

prune6.0ms (0.1%)

regimes30.0ms (0.5%)

regimes191.0ms (3.4%)

bsearch63.0ms (1.1%)

regimes205.0ms (3.6%)

bsearch95.0ms (1.7%)

regimes181.0ms (3.2%)

bsearch64.0ms (1.1%)

regimes94.0ms (1.6%)

bsearch102.0ms (1.8%)

regimes118.0ms (2.1%)

bsearch32.0ms (0.6%)

simplify6.0ms (0.1%)

soundness137.0ms (2.4%)

end96.0ms (1.7%)

Profiling