Details

analyze1.7s (7.5%)

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
28.1%	28.1%	71.8%	0.1%	0%	0%	0%	9
37.6%	34.3%	56.9%	0.1%	8.6%	0%	0%	10
44.8%	40.6%	49.9%	0.1%	9.4%	0%	0%	11
53.4%	48%	41.9%	0.1%	9.9%	0%	0%	12

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample5.8s (26.3%)

Results

5.1s	8255×	body	256	valid
642.0ms	1129×	body	256	infinite
0.0ms	1×	body	1024	valid

Bogosity

preprocess276.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

8×	`rational_best-simplify-1`
6×	`rational_best-simplify-3`
2×	`swap-x-y`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	76
1	23	76
0	3	3
1	3	3

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
0
2

Call 2

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

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

Symmetry

(sort x y)

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify60.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

2×	`rational_best-simplify-3`
2×	`rational_best-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	11	19

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 10 to 7 computations (30% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 10 to 7 computations (30% saved)

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 10 computations (50% saved)

series22.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
18.0ms	y	@	0	(*.f64 (+.f64 x y) (-.f64 1 z))
1.0ms	x	@	inf	(*.f64 (+.f64 x y) (-.f64 1 z))
1.0ms	z	@	0	(*.f64 (+.f64 x y) (-.f64 1 z))
1.0ms	z	@	inf	(*.f64 (+.f64 x y) (-.f64 1 z))
1.0ms	y	@	inf	(*.f64 (+.f64 x y) (-.f64 1 z))

rewrite546.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

698×	`rational_best-simplify-83`
684×	`rational_best-simplify-1`
632×	`rational_best-simplify-47`
526×	`rational_best-simplify-48`
482×	`rational_best-simplify-52`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	57	19
2	106	19
3	298	19
4	1076	19
5	6958	19

Stop Event

1×	node limit

Counts

1 → 67

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 x y) (-.f64 1 z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (+.f64 x y) (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 1 z) (.f64 (+.f64 x y) 1/2)) (.f64 (-.f64 1 z) (.f64 (+.f64 x y) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 x y) (-.f64 1/4 (/.f64 z 4))) (+.f64 (.f64 (+.f64 x y) (-.f64 1/4 (/.f64 z 4))) (.f64 (-.f64 1 z) (.f64 (+.f64 x y) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 x y) (-.f64 1/4 (/.f64 z 4))) (/.f64 (.f64 -3 (/.f64 (.f64 (+.f64 x y) (-.f64 1 z)) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 x y) (-.f64 1/4 (/.f64 z 4))) (/.f64 (.f64 (-.f64 1 z) (.f64 (+.f64 x y) 3)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 x y) (-.f64 1 z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 (+.f64 x y) (+.f64 z -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (-.f64 1 z) (.f64 (+.f64 x y) 1/2)) (/.f64 (.f64 (+.f64 x y) (-.f64 1 z)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (+.f64 x y) (-.f64 1/4 (/.f64 z 4))) (.f64 (-.f64 1 z) (.f64 (+.f64 x y) 1/2))) (neg.f64 (.f64 (+.f64 x y) (-.f64 1/4 (/.f64 z 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 -3 (/.f64 (.f64 (+.f64 x y) (-.f64 1 z)) -2)) 2) (/.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 1 z)) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (-.f64 1 z) (.f64 (+.f64 x y) 3)) 4) (/.f64 (.f64 (+.f64 x y) (+.f64 z -1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 x y) (-.f64 1 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 z) (.f64 (+.f64 x y) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 x y) (+.f64 z -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 z) (.f64 (+.f64 x y) 1/2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 x y) (.f64 (-.f64 1 z) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 z -1) (.f64 (+.f64 x y) 4)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 4 (.f64 (+.f64 x y) (.f64 (-.f64 1 z) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 x y) (.f64 2 (.f64 (-.f64 1 z) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 x y) (-.f64 z (-.f64 2 z))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (+.f64 z -1) (.f64 (+.f64 x y) 4)) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 z -1) (.f64 2 (.f64 (+.f64 x y) 4))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (+.f64 x y) (.f64 2 (.f64 (-.f64 1 z) 4))) (.f64 (+.f64 x y) (.f64 2 (.f64 (-.f64 1 z) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 4 (.f64 (+.f64 x y) (.f64 (-.f64 1 z) 4))) (.f64 4 (.f64 (+.f64 x y) (.f64 (-.f64 1 z) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (+.f64 x y) (-.f64 z (-.f64 2 z))) (.f64 (+.f64 x y) (-.f64 z (-.f64 2 z)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (+.f64 z -1) (.f64 (+.f64 x y) 4)) (.f64 (+.f64 z -1) (.f64 (+.f64 x y) 4))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (.f64 (+.f64 x y) 4)) (.f64 2 (.f64 (-.f64 1 z) 4))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 4 (.f64 (+.f64 x y) (.f64 (-.f64 1 z) 4)))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (neg.f64 x) y) (-.f64 1 z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (neg.f64 x) y) (+.f64 2 (.f64 z -2))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (neg.f64 x) y) (.f64 (-.f64 1 z) 4)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (neg.f64 x) y) (.f64 2 (.f64 (-.f64 1 z) 4))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (neg.f64 x) y) (+.f64 (.f64 2 (.f64 (-.f64 1 z) 4)) (.f64 2 (.f64 (-.f64 1 z) 4)))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 z -1) (+.f64 (.f64 2 (.f64 (+.f64 x y) 4)) (.f64 2 (.f64 (+.f64 x y) 4)))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 z -1) (+.f64 (.f64 2 (.f64 x 4)) (.f64 2 (.f64 y 4)))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 z -1) (+.f64 (.f64 2 (.f64 y 4)) (.f64 2 (.f64 x 4)))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 z) (-.f64 (neg.f64 x) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 z) (.f64 (+.f64 x y) -2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (/.f64 z 2) -1/2) (+.f64 (.f64 2 (.f64 (+.f64 x y) 4)) (.f64 2 (.f64 (+.f64 x y) 4)))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (/.f64 z 2) -1/2) (+.f64 (.f64 2 (.f64 x 4)) (.f64 2 (.f64 y 4)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (/.f64 z 2) -1/2) (+.f64 (.f64 2 (.f64 y 4)) (.f64 2 (.f64 x 4)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 x y) (+.f64 (-.f64 z (-.f64 2 z)) (-.f64 z (-.f64 2 z)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 2 (.f64 z -2)) (-.f64 (neg.f64 x) y)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 2 (.f64 z -2)) (.f64 (+.f64 x y) -2)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 z (-.f64 2 z)) (.f64 (+.f64 x y) 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 z) (neg.f64 (.f64 (+.f64 x y) 4))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 z) (neg.f64 (.f64 2 (.f64 (+.f64 x y) 4)))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 z) (+.f64 (neg.f64 (.f64 x 4)) (neg.f64 (.f64 y 4)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 z) (+.f64 (neg.f64 (.f64 y 4)) (neg.f64 (.f64 x 4)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 z) (-.f64 (neg.f64 (.f64 x 4)) (.f64 y 4))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 z) (-.f64 (neg.f64 (.f64 y 4)) (.f64 x 4))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (/.f64 z 2) -1/2) (+.f64 (.f64 x 4) (+.f64 (.f64 (+.f64 x y) 4) (.f64 y 4)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (/.f64 z 2) -1/2) (+.f64 (.f64 y 4) (+.f64 (.f64 x 4) (.f64 (+.f64 x y) 4)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (/.f64 z 2) -1/2) (+.f64 (+.f64 (+.f64 y y) (.f64 x 4)) (+.f64 y y))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (/.f64 z 2) -1/2) (+.f64 (+.f64 (.f64 x 4) (.f64 (+.f64 x y) 4)) (.f64 y 4))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (/.f64 z 2) -1/2) (+.f64 (+.f64 (+.f64 x x) (.f64 y 4)) (+.f64 x x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (/.f64 z 2) -1/2) (+.f64 (+.f64 (.f64 (+.f64 x y) 4) (.f64 y 4)) (.f64 x 4))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (/.f64 z 2) -1/2) (-.f64 (+.f64 (.f64 x 4) (.f64 (+.f64 x y) 4)) (neg.f64 (.f64 y 4)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (/.f64 z 2) -1/2) (-.f64 (+.f64 (.f64 (+.f64 x y) 4) (.f64 y 4)) (neg.f64 (.f64 x 4)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 x y) (neg.f64 (.f64 (-.f64 1 z) 4))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 x y) (neg.f64 (.f64 2 (.f64 (-.f64 1 z) 4)))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 2 (.f64 z -2)) (/.f64 (+.f64 x y) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1/2 (/.f64 z 2)) (-.f64 (neg.f64 x) y)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1/2 (/.f64 z 2)) (.f64 (+.f64 x y) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (+.f64 x y) (-.f64 1 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (+.f64 x y) (+.f64 z -1)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x y) (-.f64 1 z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 x y) (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 z) (*.f64 (+.f64 x y) 1/2)) (*.f64 (-.f64 1 z) (*.f64 (+.f64 x y) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x y) (-.f64 1/4 (/.f64 z 4))) (+.f64 (*.f64 (+.f64 x y) (-.f64 1/4 (/.f64 z 4))) (*.f64 (-.f64 1 z) (*.f64 (+.f64 x y) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x y) (-.f64 1/4 (/.f64 z 4))) (/.f64 (*.f64 -3 (/.f64 (*.f64 (+.f64 x y) (-.f64 1 z)) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x y) (-.f64 1/4 (/.f64 z 4))) (/.f64 (*.f64 (-.f64 1 z) (*.f64 (+.f64 x y) 3)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 x y) (-.f64 1 z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (+.f64 x y) (+.f64 z -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (-.f64 1 z) (*.f64 (+.f64 x y) 1/2)) (/.f64 (*.f64 (+.f64 x y) (-.f64 1 z)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (+.f64 x y) (-.f64 1/4 (/.f64 z 4))) (*.f64 (-.f64 1 z) (*.f64 (+.f64 x y) 1/2))) (neg.f64 (*.f64 (+.f64 x y) (-.f64 1/4 (/.f64 z 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 -3 (/.f64 (*.f64 (+.f64 x y) (-.f64 1 z)) -2)) 2) (/.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 1 z)) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (-.f64 1 z) (*.f64 (+.f64 x y) 3)) 4) (/.f64 (*.f64 (+.f64 x y) (+.f64 z -1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x y) (-.f64 1 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 z) (*.f64 (+.f64 x y) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x y) (+.f64 z -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 z) (*.f64 (+.f64 x y) 1/2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x y) (*.f64 (-.f64 1 z) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 z -1) (*.f64 (+.f64 x y) 4)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (*.f64 (+.f64 x y) (*.f64 (-.f64 1 z) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x y) (*.f64 2 (*.f64 (-.f64 1 z) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x y) (-.f64 z (-.f64 2 z))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 z -1) (*.f64 (+.f64 x y) 4)) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 z -1) (*.f64 2 (*.f64 (+.f64 x y) 4))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 x y) (*.f64 2 (*.f64 (-.f64 1 z) 4))) (*.f64 (+.f64 x y) (*.f64 2 (*.f64 (-.f64 1 z) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 4 (*.f64 (+.f64 x y) (*.f64 (-.f64 1 z) 4))) (*.f64 4 (*.f64 (+.f64 x y) (*.f64 (-.f64 1 z) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 x y) (-.f64 z (-.f64 2 z))) (*.f64 (+.f64 x y) (-.f64 z (-.f64 2 z)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 z -1) (*.f64 (+.f64 x y) 4)) (*.f64 (+.f64 z -1) (*.f64 (+.f64 x y) 4))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (+.f64 x y) 4)) (*.f64 2 (*.f64 (-.f64 1 z) 4))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 4 (*.f64 (+.f64 x y) (*.f64 (-.f64 1 z) 4)))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (neg.f64 x) y) (-.f64 1 z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (neg.f64 x) y) (+.f64 2 (*.f64 z -2))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (neg.f64 x) y) (*.f64 (-.f64 1 z) 4)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (neg.f64 x) y) (*.f64 2 (*.f64 (-.f64 1 z) 4))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (neg.f64 x) y) (+.f64 (*.f64 2 (*.f64 (-.f64 1 z) 4)) (*.f64 2 (*.f64 (-.f64 1 z) 4)))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 z -1) (+.f64 (*.f64 2 (*.f64 (+.f64 x y) 4)) (*.f64 2 (*.f64 (+.f64 x y) 4)))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 z -1) (+.f64 (*.f64 2 (*.f64 x 4)) (*.f64 2 (*.f64 y 4)))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 z -1) (+.f64 (*.f64 2 (*.f64 y 4)) (*.f64 2 (*.f64 x 4)))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 z) (-.f64 (neg.f64 x) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 z) (*.f64 (+.f64 x y) -2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 z 2) -1/2) (+.f64 (*.f64 2 (*.f64 (+.f64 x y) 4)) (*.f64 2 (*.f64 (+.f64 x y) 4)))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 z 2) -1/2) (+.f64 (*.f64 2 (*.f64 x 4)) (*.f64 2 (*.f64 y 4)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 z 2) -1/2) (+.f64 (*.f64 2 (*.f64 y 4)) (*.f64 2 (*.f64 x 4)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x y) (+.f64 (-.f64 z (-.f64 2 z)) (-.f64 z (-.f64 2 z)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 2 (*.f64 z -2)) (-.f64 (neg.f64 x) y)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 2 (*.f64 z -2)) (*.f64 (+.f64 x y) -2)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 z (-.f64 2 z)) (*.f64 (+.f64 x y) 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 z) (neg.f64 (*.f64 (+.f64 x y) 4))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 z) (neg.f64 (*.f64 2 (*.f64 (+.f64 x y) 4)))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 z) (+.f64 (neg.f64 (*.f64 x 4)) (neg.f64 (*.f64 y 4)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 z) (+.f64 (neg.f64 (*.f64 y 4)) (neg.f64 (*.f64 x 4)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 z) (-.f64 (neg.f64 (*.f64 x 4)) (*.f64 y 4))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 z) (-.f64 (neg.f64 (*.f64 y 4)) (*.f64 x 4))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 z 2) -1/2) (+.f64 (*.f64 x 4) (+.f64 (*.f64 (+.f64 x y) 4) (*.f64 y 4)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 z 2) -1/2) (+.f64 (*.f64 y 4) (+.f64 (*.f64 x 4) (*.f64 (+.f64 x y) 4)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 z 2) -1/2) (+.f64 (+.f64 (+.f64 y y) (*.f64 x 4)) (+.f64 y y))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 z 2) -1/2) (+.f64 (+.f64 (*.f64 x 4) (*.f64 (+.f64 x y) 4)) (*.f64 y 4))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 z 2) -1/2) (+.f64 (+.f64 (+.f64 x x) (*.f64 y 4)) (+.f64 x x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 z 2) -1/2) (+.f64 (+.f64 (*.f64 (+.f64 x y) 4) (*.f64 y 4)) (*.f64 x 4))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 z 2) -1/2) (-.f64 (+.f64 (*.f64 x 4) (*.f64 (+.f64 x y) 4)) (neg.f64 (*.f64 y 4)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 z 2) -1/2) (-.f64 (+.f64 (*.f64 (+.f64 x y) 4) (*.f64 y 4)) (neg.f64 (*.f64 x 4)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x y) (neg.f64 (*.f64 (-.f64 1 z) 4))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x y) (neg.f64 (*.f64 2 (*.f64 (-.f64 1 z) 4)))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 2 (*.f64 z -2)) (/.f64 (+.f64 x y) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/2 (/.f64 z 2)) (-.f64 (neg.f64 x) y)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/2 (/.f64 z 2)) (*.f64 (+.f64 x y) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 x y) (-.f64 1 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (+.f64 x y) (+.f64 z -1)))))))

simplify628.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1434×	`rational_best-simplify-48`
1364×	`rational_best-simplify-47`
1108×	`rational_best-simplify-1`
986×	`rational_best-simplify-52`
950×	`rational_best-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	220	3409
1	576	2745
2	1368	2729
3	3575	2727

Stop Event

1×	node limit

Counts

103 → 115

Calls

Call 1

Inputs
(*.f64 y (-.f64 1 z))
(+.f64 (.f64 (-.f64 1 z) x) (.f64 y (-.f64 1 z)))
(+.f64 (.f64 (-.f64 1 z) x) (.f64 y (-.f64 1 z)))
(+.f64 (.f64 (-.f64 1 z) x) (.f64 y (-.f64 1 z)))
(*.f64 (-.f64 1 z) x)
(+.f64 (.f64 y (-.f64 1 z)) (.f64 (-.f64 1 z) x))
(+.f64 (.f64 y (-.f64 1 z)) (.f64 (-.f64 1 z) x))
(+.f64 (.f64 y (-.f64 1 z)) (.f64 (-.f64 1 z) x))
(*.f64 (-.f64 1 z) x)
(+.f64 (.f64 y (-.f64 1 z)) (.f64 (-.f64 1 z) x))
(+.f64 (.f64 y (-.f64 1 z)) (.f64 (-.f64 1 z) x))
(+.f64 (.f64 y (-.f64 1 z)) (.f64 (-.f64 1 z) x))
(*.f64 (-.f64 1 z) x)
(+.f64 (.f64 y (-.f64 1 z)) (.f64 (-.f64 1 z) x))
(+.f64 (.f64 y (-.f64 1 z)) (.f64 (-.f64 1 z) x))
(+.f64 (.f64 y (-.f64 1 z)) (.f64 (-.f64 1 z) x))
(*.f64 y (-.f64 1 z))
(+.f64 (.f64 (-.f64 1 z) x) (.f64 y (-.f64 1 z)))
(+.f64 (.f64 (-.f64 1 z) x) (.f64 y (-.f64 1 z)))
(+.f64 (.f64 (-.f64 1 z) x) (.f64 y (-.f64 1 z)))
(*.f64 y (-.f64 1 z))
(+.f64 (.f64 (-.f64 1 z) x) (.f64 y (-.f64 1 z)))
(+.f64 (.f64 (-.f64 1 z) x) (.f64 y (-.f64 1 z)))
(+.f64 (.f64 (-.f64 1 z) x) (.f64 y (-.f64 1 z)))
(+.f64 y x)
(+.f64 (.f64 -1 (.f64 (+.f64 y x) z)) (+.f64 y x))
(+.f64 (.f64 -1 (.f64 (+.f64 y x) z)) (+.f64 y x))
(+.f64 (.f64 -1 (.f64 (+.f64 y x) z)) (+.f64 y x))
(.f64 -1 (.f64 (+.f64 y x) z))
(+.f64 y (+.f64 (.f64 -1 (.f64 (+.f64 y x) z)) x))
(+.f64 y (+.f64 (.f64 -1 (.f64 (+.f64 y x) z)) x))
(+.f64 y (+.f64 (.f64 -1 (.f64 (+.f64 y x) z)) x))
(.f64 -1 (.f64 (+.f64 y x) z))
(+.f64 y (+.f64 (.f64 -1 (.f64 (+.f64 y x) z)) x))
(+.f64 y (+.f64 (.f64 -1 (.f64 (+.f64 y x) z)) x))
(+.f64 y (+.f64 (.f64 -1 (.f64 (+.f64 y x) z)) x))
(+.f64 (*.f64 (+.f64 x y) (-.f64 1 z)) 0)
(+.f64 0 (*.f64 (+.f64 x y) (-.f64 1 z)))
(+.f64 (.f64 (-.f64 1 z) (.f64 (+.f64 x y) 1/2)) (.f64 (-.f64 1 z) (.f64 (+.f64 x y) 1/2)))
(+.f64 (.f64 (+.f64 x y) (-.f64 1/4 (/.f64 z 4))) (+.f64 (.f64 (+.f64 x y) (-.f64 1/4 (/.f64 z 4))) (.f64 (-.f64 1 z) (.f64 (+.f64 x y) 1/2))))
(+.f64 (.f64 (+.f64 x y) (-.f64 1/4 (/.f64 z 4))) (/.f64 (.f64 -3 (/.f64 (*.f64 (+.f64 x y) (-.f64 1 z)) -2)) 2))
(+.f64 (.f64 (+.f64 x y) (-.f64 1/4 (/.f64 z 4))) (/.f64 (.f64 (-.f64 1 z) (*.f64 (+.f64 x y) 3)) 4))
(-.f64 (*.f64 (+.f64 x y) (-.f64 1 z)) 0)
(-.f64 0 (*.f64 (+.f64 x y) (+.f64 z -1)))
(-.f64 (.f64 (-.f64 1 z) (.f64 (+.f64 x y) 1/2)) (/.f64 (*.f64 (+.f64 x y) (-.f64 1 z)) -2))
(-.f64 (+.f64 (.f64 (+.f64 x y) (-.f64 1/4 (/.f64 z 4))) (.f64 (-.f64 1 z) (.f64 (+.f64 x y) 1/2))) (neg.f64 (.f64 (+.f64 x y) (-.f64 1/4 (/.f64 z 4)))))
(-.f64 (/.f64 (.f64 -3 (/.f64 (.f64 (+.f64 x y) (-.f64 1 z)) -2)) 2) (/.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 1 z)) -2) 2))
(-.f64 (/.f64 (.f64 (-.f64 1 z) (.f64 (+.f64 x y) 3)) 4) (/.f64 (*.f64 (+.f64 x y) (+.f64 z -1)) 4))
(/.f64 (*.f64 (+.f64 x y) (-.f64 1 z)) 1)
(/.f64 (.f64 (-.f64 1 z) (.f64 (+.f64 x y) 2)) 2)
(/.f64 (*.f64 (+.f64 x y) (+.f64 z -1)) -1)
(/.f64 (.f64 (-.f64 1 z) (.f64 (+.f64 x y) 1/2)) 1/2)
(/.f64 (.f64 (+.f64 x y) (.f64 (-.f64 1 z) 4)) 4)
(/.f64 (.f64 (+.f64 z -1) (.f64 (+.f64 x y) 4)) -4)
(/.f64 (.f64 4 (.f64 (+.f64 x y) (*.f64 (-.f64 1 z) 4))) 16)
(/.f64 (.f64 (+.f64 x y) (.f64 2 (*.f64 (-.f64 1 z) 4))) 8)
(/.f64 (*.f64 (+.f64 x y) (-.f64 z (-.f64 2 z))) -2)
(/.f64 (/.f64 (.f64 (+.f64 z -1) (.f64 (+.f64 x y) 4)) 2) -2)
(/.f64 (.f64 (+.f64 z -1) (.f64 2 (*.f64 (+.f64 x y) 4))) -8)
(/.f64 (+.f64 (.f64 (+.f64 x y) (.f64 2 (.f64 (-.f64 1 z) 4))) (.f64 (+.f64 x y) (.f64 2 (.f64 (-.f64 1 z) 4)))) 16)
(/.f64 (+.f64 (.f64 4 (.f64 (+.f64 x y) (.f64 (-.f64 1 z) 4))) (.f64 4 (.f64 (+.f64 x y) (.f64 (-.f64 1 z) 4)))) 32)
(/.f64 (+.f64 (.f64 (+.f64 x y) (-.f64 z (-.f64 2 z))) (.f64 (+.f64 x y) (-.f64 z (-.f64 2 z)))) -4)
(/.f64 (+.f64 (.f64 (+.f64 z -1) (.f64 (+.f64 x y) 4)) (.f64 (+.f64 z -1) (.f64 (+.f64 x y) 4))) -8)
(/.f64 (.f64 (.f64 2 (.f64 (+.f64 x y) 4)) (.f64 2 (*.f64 (-.f64 1 z) 4))) 64)
(/.f64 (neg.f64 (.f64 4 (.f64 (+.f64 x y) (*.f64 (-.f64 1 z) 4)))) -16)
(/.f64 (*.f64 (-.f64 (neg.f64 x) y) (-.f64 1 z)) -1)
(/.f64 (.f64 (-.f64 (neg.f64 x) y) (+.f64 2 (.f64 z -2))) -2)
(/.f64 (.f64 (-.f64 (neg.f64 x) y) (.f64 (-.f64 1 z) 4)) -4)
(/.f64 (.f64 (-.f64 (neg.f64 x) y) (.f64 2 (*.f64 (-.f64 1 z) 4))) -8)
(/.f64 (.f64 (-.f64 (neg.f64 x) y) (+.f64 (.f64 2 (.f64 (-.f64 1 z) 4)) (.f64 2 (*.f64 (-.f64 1 z) 4)))) -16)
(/.f64 (.f64 (+.f64 z -1) (+.f64 (.f64 2 (.f64 (+.f64 x y) 4)) (.f64 2 (*.f64 (+.f64 x y) 4)))) -16)
(/.f64 (.f64 (+.f64 z -1) (+.f64 (.f64 2 (.f64 x 4)) (.f64 2 (*.f64 y 4)))) -8)
(/.f64 (.f64 (+.f64 z -1) (+.f64 (.f64 2 (.f64 y 4)) (.f64 2 (*.f64 x 4)))) -8)
(/.f64 (*.f64 (-.f64 1 z) (-.f64 (neg.f64 x) y)) -1)
(/.f64 (.f64 (-.f64 1 z) (.f64 (+.f64 x y) -2)) -2)
(/.f64 (.f64 (+.f64 (/.f64 z 2) -1/2) (+.f64 (.f64 2 (.f64 (+.f64 x y) 4)) (.f64 2 (*.f64 (+.f64 x y) 4)))) -8)
(/.f64 (.f64 (+.f64 (/.f64 z 2) -1/2) (+.f64 (.f64 2 (.f64 x 4)) (.f64 2 (*.f64 y 4)))) -4)
(/.f64 (.f64 (+.f64 (/.f64 z 2) -1/2) (+.f64 (.f64 2 (.f64 y 4)) (.f64 2 (*.f64 x 4)))) -4)
(/.f64 (*.f64 (+.f64 x y) (+.f64 (-.f64 z (-.f64 2 z)) (-.f64 z (-.f64 2 z)))) -4)
(/.f64 (.f64 (+.f64 2 (.f64 z -2)) (-.f64 (neg.f64 x) y)) -2)
(/.f64 (.f64 (+.f64 2 (.f64 z -2)) (*.f64 (+.f64 x y) -2)) -4)
(/.f64 (.f64 (-.f64 z (-.f64 2 z)) (.f64 (+.f64 x y) 1/2)) -1)
(/.f64 (.f64 (-.f64 1 z) (neg.f64 (.f64 (+.f64 x y) 4))) -4)
(/.f64 (.f64 (-.f64 1 z) (neg.f64 (.f64 2 (*.f64 (+.f64 x y) 4)))) -8)
(/.f64 (.f64 (-.f64 1 z) (+.f64 (neg.f64 (.f64 x 4)) (neg.f64 (*.f64 y 4)))) -4)
(/.f64 (.f64 (-.f64 1 z) (+.f64 (neg.f64 (.f64 y 4)) (neg.f64 (*.f64 x 4)))) -4)
(/.f64 (.f64 (-.f64 1 z) (-.f64 (neg.f64 (.f64 x 4)) (*.f64 y 4))) -4)
(/.f64 (.f64 (-.f64 1 z) (-.f64 (neg.f64 (.f64 y 4)) (*.f64 x 4))) -4)
(/.f64 (.f64 (+.f64 (/.f64 z 2) -1/2) (+.f64 (.f64 x 4) (+.f64 (.f64 (+.f64 x y) 4) (.f64 y 4)))) -4)
(/.f64 (.f64 (+.f64 (/.f64 z 2) -1/2) (+.f64 (.f64 y 4) (+.f64 (.f64 x 4) (.f64 (+.f64 x y) 4)))) -4)
(/.f64 (.f64 (+.f64 (/.f64 z 2) -1/2) (+.f64 (+.f64 (+.f64 y y) (.f64 x 4)) (+.f64 y y))) -2)
(/.f64 (.f64 (+.f64 (/.f64 z 2) -1/2) (+.f64 (+.f64 (.f64 x 4) (.f64 (+.f64 x y) 4)) (.f64 y 4))) -4)
(/.f64 (.f64 (+.f64 (/.f64 z 2) -1/2) (+.f64 (+.f64 (+.f64 x x) (.f64 y 4)) (+.f64 x x))) -2)
(/.f64 (.f64 (+.f64 (/.f64 z 2) -1/2) (+.f64 (+.f64 (.f64 (+.f64 x y) 4) (.f64 y 4)) (.f64 x 4))) -4)
(/.f64 (.f64 (+.f64 (/.f64 z 2) -1/2) (-.f64 (+.f64 (.f64 x 4) (.f64 (+.f64 x y) 4)) (neg.f64 (.f64 y 4)))) -4)
(/.f64 (.f64 (+.f64 (/.f64 z 2) -1/2) (-.f64 (+.f64 (.f64 (+.f64 x y) 4) (.f64 y 4)) (neg.f64 (.f64 x 4)))) -4)
(/.f64 (.f64 (+.f64 x y) (neg.f64 (.f64 (-.f64 1 z) 4))) -4)
(/.f64 (.f64 (+.f64 x y) (neg.f64 (.f64 2 (*.f64 (-.f64 1 z) 4)))) -8)
(/.f64 (.f64 (+.f64 2 (.f64 z -2)) (/.f64 (+.f64 x y) -2)) -1)
(/.f64 (*.f64 (-.f64 1/2 (/.f64 z 2)) (-.f64 (neg.f64 x) y)) -1/2)
(/.f64 (.f64 (-.f64 1/2 (/.f64 z 2)) (.f64 (+.f64 x y) -2)) -1)
(pow.f64 (*.f64 (+.f64 x y) (-.f64 1 z)) 1)
(neg.f64 (*.f64 (+.f64 x y) (+.f64 z -1)))

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

eval138.0ms (0.6%)

Compiler: Compiled 1686 to 1063 computations (37% saved)

prune78.0ms (0.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	110	5	115
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	111	5	116

Error

Counts

116 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 y (+.f64 x (*.f64 (+.f64 y x) (neg.f64 z))))
▶	22.6b	(+.f64 y x)
▶	30.6b	(*.f64 (-.f64 1 z) x)
▶	40.7b	(*.f64 (+.f64 y x) (neg.f64 z))
▶	32.7b	(*.f64 y (-.f64 1 z))

Compiler

Compiled 88 to 60 computations (31.8% saved)

localize223.0ms (1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 35 to 8 computations (77.1% saved)

series32.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite388.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1662×	`rational_best-simplify-75`
1570×	`rational_best-simplify-56`
1158×	`rational_best-simplify-63`
1074×	`rational_best-4`
1074×	`rational_best-2`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	11	52
1	79	52
2	179	46
3	552	42
4	2646	38

Stop Event

1×	node limit

Counts

2 → 143

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 x (.f64 (+.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 x y) (neg.f64 z)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 x y) (neg.f64 z)) (-.f64 (.f64 (+.f64 x y) (neg.f64 z)) (-.f64 x (.f64 (+.f64 x y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 x (.f64 (+.f64 x y) z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (.f64 (+.f64 x y) z) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 z (.f64 (+.f64 x y) -2)) (-.f64 (.f64 (+.f64 x y) (neg.f64 z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x x) (+.f64 x (.f64 (+.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 x y) (/.f64 z -2)) (-.f64 (neg.f64 x) (.f64 (+.f64 x y) (/.f64 z -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 x y) (/.f64 z -2)) (+.f64 (/.f64 (.f64 (+.f64 x y) z) 2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x 2) (-.f64 (.f64 (+.f64 x y) z) (/.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x 2) (+.f64 (/.f64 (neg.f64 x) 2) (.f64 (+.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 x (.f64 (+.f64 x y) z)) 2) (/.f64 (-.f64 (.f64 (+.f64 x y) z) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 x (.f64 (+.f64 x y) z)) 2) (-.f64 (/.f64 (neg.f64 x) 2) (.f64 (+.f64 x y) (/.f64 z -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (.f64 (+.f64 x y) (/.f64 z -2))) (.f64 (+.f64 x y) (/.f64 z 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 x 2) (.f64 (+.f64 x y) z)) (neg.f64 (/.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 3 (.f64 (+.f64 x y) (/.f64 z -2))) (-.f64 (-.f64 (.f64 (+.f64 x y) (neg.f64 z)) x) (.f64 (+.f64 x y) (/.f64 z -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 -1 (-.f64 (.f64 (+.f64 x y) z) (+.f64 x (.f64 (+.f64 x y) z)))) (.f64 (+.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 x x) (-.f64 (.f64 (+.f64 x y) z) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 x 2) (.f64 (+.f64 x y) (/.f64 z 2))) (-.f64 (.f64 (+.f64 x y) (/.f64 z 2)) (/.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (.f64 (+.f64 x y) (/.f64 z -2)) (neg.f64 (/.f64 x 2))) (-.f64 (neg.f64 (/.f64 x 2)) (.f64 (+.f64 x y) (/.f64 z -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (.f64 (+.f64 x y) (/.f64 z -2)) (/.f64 x -2)) (-.f64 (/.f64 x -2) (.f64 (+.f64 x y) (/.f64 z -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (.f64 (+.f64 x y) (neg.f64 z)) (-.f64 (.f64 (+.f64 x y) (/.f64 z -2)) x)) (-.f64 (.f64 (+.f64 x y) (/.f64 z -2)) (.f64 (+.f64 x y) (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 x (.f64 (+.f64 x y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 x (.f64 (+.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (-.f64 (.f64 (+.f64 x y) z) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 (+.f64 x y) z) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 x (.f64 (+.f64 x y) z)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (-.f64 x (.f64 (+.f64 x y) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 x (.f64 (+.f64 x y) z)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (-.f64 x (.f64 (+.f64 x y) z)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x (.f64 (+.f64 x y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (+.f64 x y) z) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 x (.f64 (+.f64 x y) z)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 x (.f64 (+.f64 x y) z)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 x (.f64 (+.f64 x y) z)) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (-.f64 x (.f64 (+.f64 x y) z)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (.f64 (+.f64 x y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (.f64 (+.f64 x y) z) x))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 x (-.f64 (.f64 (+.f64 x y) z) y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 y (-.f64 (.f64 (+.f64 x y) z) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x y) (.f64 (+.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 x y) (neg.f64 z)) (-.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 x y) (neg.f64 z)) (+.f64 (-.f64 (.f64 (+.f64 x y) (neg.f64 z)) (-.f64 x (.f64 (+.f64 x y) z))) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 x (.f64 (+.f64 x y) z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 x y) (-.f64 1 z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 (+.f64 x y) (+.f64 z -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (-.f64 (.f64 (+.f64 x y) z) x) y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (-.f64 (.f64 (+.f64 x y) z) y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 y (.f64 (+.f64 x y) z)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 x y) 2) (.f64 (+.f64 x y) (+.f64 z 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 z (.f64 (+.f64 x y) -2)) (+.f64 (neg.f64 y) (-.f64 (.f64 (+.f64 x y) (neg.f64 z)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 z (.f64 (+.f64 x y) -2)) (.f64 (+.f64 x y) (+.f64 -1 (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x x) (+.f64 (-.f64 x y) (.f64 (+.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x x) (+.f64 (+.f64 x (.f64 (+.f64 x y) z)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (-.f64 x (.f64 (+.f64 x y) z)) 2) (+.f64 (-.f64 x (.f64 (+.f64 x y) z)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 y y) (-.f64 (.f64 (+.f64 x y) z) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 y y) (+.f64 (-.f64 y x) (.f64 (+.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 x y) 2) (-.f64 (.f64 (+.f64 x y) z) (/.f64 (+.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 x y) 2) (+.f64 (/.f64 (+.f64 x y) -2) (.f64 (+.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 1 z)) 2) (/.f64 (.f64 (+.f64 x y) (+.f64 z -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 1 z)) 2) (-.f64 (/.f64 (+.f64 x y) -2) (.f64 (+.f64 x y) (/.f64 z -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 x y) (/.f64 z -2)) (-.f64 (-.f64 (neg.f64 x) y) (.f64 (+.f64 x y) (/.f64 z -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 x y) (/.f64 z -2)) (+.f64 (-.f64 (neg.f64 x) (.f64 (+.f64 x y) (/.f64 z -2))) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 x y) (/.f64 z -2)) (+.f64 (/.f64 (.f64 (+.f64 x y) z) 2) (-.f64 (neg.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x 2) (-.f64 (-.f64 (.f64 (+.f64 x y) z) y) (/.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x 2) (+.f64 (-.f64 (.f64 (+.f64 x y) z) (/.f64 x 2)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x 2) (+.f64 (-.f64 (neg.f64 y) (/.f64 x 2)) (.f64 (+.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 x (.f64 (+.f64 x y) z)) 2) (-.f64 (neg.f64 y) (/.f64 (-.f64 x (.f64 (+.f64 x y) z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 x (.f64 (+.f64 x y) z)) 2) (+.f64 (/.f64 (-.f64 (.f64 (+.f64 x y) z) x) 2) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 y 2) (-.f64 (-.f64 (.f64 (+.f64 x y) z) x) (/.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 y 2) (+.f64 (/.f64 (neg.f64 y) 2) (-.f64 (.f64 (+.f64 x y) z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 y 2) (+.f64 (-.f64 (neg.f64 x) (/.f64 y 2)) (.f64 (+.f64 x y) 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Outputs

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

simplify426.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1542×	`rational_best-simplify-57`
1038×	`rational_best-simplify-47`
734×	`rational_best-simplify-3`
558×	`rational_best-simplify-75`
526×	`rational_best-simplify-76`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	362	8159
1	974	7425
2	2556	5055

Stop Event

1×	node limit

Counts

215 → 239

Calls

Call 1

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

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

localize38.0ms (0.2%)

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

localize18.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite439.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1390×	`rational_best-1`
1388×	`rational_best-4`
1388×	`rational_best-2`
1388×	`rational_best-3`
1388×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	44	13
2	81	13
3	217	13
4	742	13
5	4171	13

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (-.f64 1 z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (-.f64 1/2 (/.f64 z 2))) (*.f64 y (-.f64 1/2 (/.f64 z 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 y (-.f64 1 z)) 4) (+.f64 (*.f64 y (-.f64 1/2 (/.f64 z 2))) (/.f64 (*.f64 y (-.f64 1 z)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 y (-.f64 1 z)) 4) (/.f64 (/.f64 (*.f64 y (*.f64 -3 (+.f64 z -1))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 y (-.f64 1 z)) 4) (/.f64 (*.f64 y (*.f64 -3 (+.f64 z -1))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 y (-.f64 1/2 (/.f64 z 2))) (/.f64 (*.f64 y (-.f64 1 z)) 4)) (/.f64 (*.f64 y (-.f64 1 z)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (*.f64 y (*.f64 -3 (+.f64 z -1))) 2) 2) (/.f64 (*.f64 y (-.f64 1 z)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 y (*.f64 -3 (+.f64 z -1))) 4) (/.f64 (*.f64 y (-.f64 1 z)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 y (-.f64 1 z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 y (+.f64 z -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 y (-.f64 1/2 (/.f64 z 2))) (*.f64 (+.f64 z -1) (*.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 y (-.f64 1/2 (/.f64 z 2))) (/.f64 (*.f64 y (-.f64 1 z)) 4)) (neg.f64 (/.f64 (*.f64 y (-.f64 1 z)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 y (*.f64 -3 (+.f64 z -1))) 2) 2) (/.f64 (*.f64 (+.f64 z -1) (*.f64 y 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 y (*.f64 -3 (+.f64 z -1))) 4) (/.f64 (*.f64 y (+.f64 z -1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 1 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 2 (/.f64 z -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 z -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 1/2 (/.f64 z 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (*.f64 (-.f64 1 z) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 z -1) (*.f64 y 4)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y 4) (*.f64 (-.f64 1 z) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (*.f64 (+.f64 2 (/.f64 z -1/2)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 z (-.f64 2 z))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 z -1) (*.f64 y 4)) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 y (-.f64 z (-.f64 2 z))) (*.f64 y (-.f64 z (-.f64 2 z)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 z -1) (*.f64 y 4)) (*.f64 (+.f64 z -1) (*.f64 y 4))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 y (*.f64 (+.f64 2 (/.f64 z -1/2)) 4)) (*.f64 y (*.f64 (+.f64 2 (/.f64 z -1/2)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 y 4) (*.f64 (-.f64 1 z) 4)) (*.f64 (*.f64 y 4) (*.f64 (-.f64 1 z) 4))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 y 4)) (*.f64 (+.f64 2 (/.f64 z -1/2)) 4)) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (*.f64 y 4) (*.f64 (-.f64 1 z) 4))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y 4) (-.f64 z (-.f64 2 z))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 z -1) (+.f64 (*.f64 2 (*.f64 y 4)) (*.f64 2 (*.f64 y 4)))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 z) (neg.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 z) (*.f64 y -2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 z) (neg.f64 (*.f64 y 4))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 z) (neg.f64 (*.f64 2 (*.f64 y 4)))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 z (-.f64 2 z)) (*.f64 y 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 z 2) -1/2) (+.f64 (*.f64 2 (*.f64 y 4)) (*.f64 2 (*.f64 y 4)))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (neg.f64 (*.f64 (-.f64 1 z) 4))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (neg.f64 (*.f64 (+.f64 2 (/.f64 z -1/2)) 4))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 (-.f64 z (-.f64 2 z)) (-.f64 z (-.f64 2 z)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/2 (/.f64 z 2)) (neg.f64 y)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/2 (/.f64 z 2)) (*.f64 y -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 2 (/.f64 z -1/2)) (neg.f64 y)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 2 (/.f64 z -1/2)) (/.f64 y -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 2 (/.f64 z -1/2)) (*.f64 y -2)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (-.f64 1 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 y (+.f64 z -1)))))))

simplify479.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1460×	`rational_best-simplify-63`
920×	`rational_best-simplify-1`
794×	`rational_best-simplify-65`
738×	`rational_best-simplify-49`
718×	`rational_best-simplify-67`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	140	1177
1	357	1141
2	919	1087
3	2564	1087

Stop Event

1×	node limit

Counts

61 → 73

Calls

Call 1

Inputs
y
(+.f64 (.f64 -1 (.f64 y z)) y)
(+.f64 (.f64 -1 (.f64 y z)) y)
(+.f64 (.f64 -1 (.f64 y z)) y)
(.f64 -1 (.f64 y z))
(+.f64 y (.f64 -1 (.f64 y z)))
(+.f64 y (.f64 -1 (.f64 y z)))
(+.f64 y (.f64 -1 (.f64 y z)))
(.f64 -1 (.f64 y z))
(+.f64 y (.f64 -1 (.f64 y z)))
(+.f64 y (.f64 -1 (.f64 y z)))
(+.f64 y (.f64 -1 (.f64 y z)))
(+.f64 (*.f64 y (-.f64 1 z)) 0)
(+.f64 0 (*.f64 y (-.f64 1 z)))
(+.f64 (.f64 y (-.f64 1/2 (/.f64 z 2))) (.f64 y (-.f64 1/2 (/.f64 z 2))))
(+.f64 (/.f64 (.f64 y (-.f64 1 z)) 4) (+.f64 (.f64 y (-.f64 1/2 (/.f64 z 2))) (/.f64 (*.f64 y (-.f64 1 z)) 4)))
(+.f64 (/.f64 (.f64 y (-.f64 1 z)) 4) (/.f64 (/.f64 (.f64 y (*.f64 -3 (+.f64 z -1))) 2) 2))
(+.f64 (/.f64 (.f64 y (-.f64 1 z)) 4) (/.f64 (.f64 y (*.f64 -3 (+.f64 z -1))) 4))
(+.f64 (+.f64 (.f64 y (-.f64 1/2 (/.f64 z 2))) (/.f64 (.f64 y (-.f64 1 z)) 4)) (/.f64 (*.f64 y (-.f64 1 z)) 4))
(+.f64 (/.f64 (/.f64 (.f64 y (.f64 -3 (+.f64 z -1))) 2) 2) (/.f64 (*.f64 y (-.f64 1 z)) 4))
(+.f64 (/.f64 (.f64 y (.f64 -3 (+.f64 z -1))) 4) (/.f64 (*.f64 y (-.f64 1 z)) 4))
(-.f64 (*.f64 y (-.f64 1 z)) 0)
(-.f64 0 (*.f64 y (+.f64 z -1)))
(-.f64 (.f64 y (-.f64 1/2 (/.f64 z 2))) (.f64 (+.f64 z -1) (*.f64 y 1/2)))
(-.f64 (+.f64 (.f64 y (-.f64 1/2 (/.f64 z 2))) (/.f64 (.f64 y (-.f64 1 z)) 4)) (neg.f64 (/.f64 (*.f64 y (-.f64 1 z)) 4)))
(-.f64 (/.f64 (/.f64 (.f64 y (.f64 -3 (+.f64 z -1))) 2) 2) (/.f64 (.f64 (+.f64 z -1) (.f64 y 1/2)) 2))
(-.f64 (/.f64 (.f64 y (.f64 -3 (+.f64 z -1))) 4) (/.f64 (*.f64 y (+.f64 z -1)) 4))
(/.f64 (*.f64 y (-.f64 1 z)) 1)
(/.f64 (*.f64 y (+.f64 2 (/.f64 z -1/2))) 2)
(/.f64 (*.f64 y (+.f64 z -1)) -1)
(/.f64 (*.f64 y (-.f64 1/2 (/.f64 z 2))) 1/2)
(/.f64 (.f64 y (.f64 (-.f64 1 z) 4)) 4)
(/.f64 (.f64 (+.f64 z -1) (.f64 y 4)) -4)
(/.f64 (.f64 (.f64 y 4) (*.f64 (-.f64 1 z) 4)) 16)
(/.f64 (.f64 y (.f64 (+.f64 2 (/.f64 z -1/2)) 4)) 8)
(/.f64 (*.f64 y (-.f64 z (-.f64 2 z))) -2)
(/.f64 (/.f64 (.f64 (+.f64 z -1) (.f64 y 4)) 2) -2)
(/.f64 (+.f64 (.f64 y (-.f64 z (-.f64 2 z))) (.f64 y (-.f64 z (-.f64 2 z)))) -4)
(/.f64 (+.f64 (.f64 (+.f64 z -1) (.f64 y 4)) (.f64 (+.f64 z -1) (.f64 y 4))) -8)
(/.f64 (+.f64 (.f64 y (.f64 (+.f64 2 (/.f64 z -1/2)) 4)) (.f64 y (.f64 (+.f64 2 (/.f64 z -1/2)) 4))) 16)
(/.f64 (+.f64 (.f64 (.f64 y 4) (.f64 (-.f64 1 z) 4)) (.f64 (.f64 y 4) (.f64 (-.f64 1 z) 4))) 32)
(/.f64 (.f64 (.f64 2 (.f64 y 4)) (.f64 (+.f64 2 (/.f64 z -1/2)) 4)) 64)
(/.f64 (neg.f64 (.f64 (.f64 y 4) (*.f64 (-.f64 1 z) 4))) -16)
(/.f64 (.f64 (.f64 y 4) (-.f64 z (-.f64 2 z))) -8)
(/.f64 (.f64 (+.f64 z -1) (+.f64 (.f64 2 (.f64 y 4)) (.f64 2 (*.f64 y 4)))) -16)
(/.f64 (*.f64 (-.f64 1 z) (neg.f64 y)) -1)
(/.f64 (.f64 (-.f64 1 z) (.f64 y -2)) -2)
(/.f64 (.f64 (-.f64 1 z) (neg.f64 (.f64 y 4))) -4)
(/.f64 (.f64 (-.f64 1 z) (neg.f64 (.f64 2 (*.f64 y 4)))) -8)
(/.f64 (.f64 (-.f64 z (-.f64 2 z)) (.f64 y 1/2)) -1)
(/.f64 (.f64 (+.f64 (/.f64 z 2) -1/2) (+.f64 (.f64 2 (.f64 y 4)) (.f64 2 (*.f64 y 4)))) -8)
(/.f64 (.f64 y (neg.f64 (.f64 (-.f64 1 z) 4))) -4)
(/.f64 (.f64 y (neg.f64 (.f64 (+.f64 2 (/.f64 z -1/2)) 4))) -8)
(/.f64 (*.f64 y (+.f64 (-.f64 z (-.f64 2 z)) (-.f64 z (-.f64 2 z)))) -4)
(/.f64 (*.f64 (-.f64 1/2 (/.f64 z 2)) (neg.f64 y)) -1/2)
(/.f64 (.f64 (-.f64 1/2 (/.f64 z 2)) (.f64 y -2)) -1)
(/.f64 (*.f64 (+.f64 2 (/.f64 z -1/2)) (neg.f64 y)) -2)
(/.f64 (*.f64 (+.f64 2 (/.f64 z -1/2)) (/.f64 y -2)) -1)
(/.f64 (.f64 (+.f64 2 (/.f64 z -1/2)) (.f64 y -2)) -4)
(pow.f64 (*.f64 y (-.f64 1 z)) 1)
(neg.f64 (*.f64 y (+.f64 z -1)))

Outputs
y
(+.f64 (.f64 -1 (.f64 y z)) y)
(+.f64 y (*.f64 z (neg.f64 y)))
(+.f64 y (*.f64 y (neg.f64 z)))
(+.f64 (.f64 -1 (.f64 y z)) y)
(+.f64 y (*.f64 z (neg.f64 y)))
(+.f64 y (*.f64 y (neg.f64 z)))
(+.f64 (.f64 -1 (.f64 y z)) y)
(+.f64 y (*.f64 z (neg.f64 y)))
(+.f64 y (*.f64 y (neg.f64 z)))
(.f64 -1 (.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(+.f64 y (.f64 -1 (.f64 y z)))
(+.f64 y (*.f64 z (neg.f64 y)))
(+.f64 y (*.f64 y (neg.f64 z)))
(+.f64 y (.f64 -1 (.f64 y z)))
(+.f64 y (*.f64 z (neg.f64 y)))
(+.f64 y (*.f64 y (neg.f64 z)))
(+.f64 y (.f64 -1 (.f64 y z)))
(+.f64 y (*.f64 z (neg.f64 y)))
(+.f64 y (*.f64 y (neg.f64 z)))
(.f64 -1 (.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(+.f64 y (.f64 -1 (.f64 y z)))
(+.f64 y (*.f64 z (neg.f64 y)))
(+.f64 y (*.f64 y (neg.f64 z)))
(+.f64 y (.f64 -1 (.f64 y z)))
(+.f64 y (*.f64 z (neg.f64 y)))
(+.f64 y (*.f64 y (neg.f64 z)))
(+.f64 y (.f64 -1 (.f64 y z)))
(+.f64 y (*.f64 z (neg.f64 y)))
(+.f64 y (*.f64 y (neg.f64 z)))
(+.f64 (*.f64 y (-.f64 1 z)) 0)
(*.f64 y (-.f64 1 z))
(+.f64 0 (*.f64 y (-.f64 1 z)))
(*.f64 y (-.f64 1 z))
(+.f64 (.f64 y (-.f64 1/2 (/.f64 z 2))) (.f64 y (-.f64 1/2 (/.f64 z 2))))
(*.f64 y (-.f64 1 z))
(+.f64 (/.f64 (.f64 y (-.f64 1 z)) 4) (+.f64 (.f64 y (-.f64 1/2 (/.f64 z 2))) (/.f64 (*.f64 y (-.f64 1 z)) 4)))
(*.f64 y (-.f64 1 z))
(+.f64 (/.f64 (.f64 y (-.f64 1 z)) 4) (/.f64 (/.f64 (.f64 y (*.f64 -3 (+.f64 z -1))) 2) 2))
(/.f64 (+.f64 (.f64 (+.f64 -1 z) (.f64 -3 y)) (*.f64 y (-.f64 1 z))) 4)
(/.f64 (.f64 y (+.f64 (.f64 -3 (+.f64 -1 z)) (-.f64 1 z))) 4)
(/.f64 (.f64 y (+.f64 (-.f64 1 z) (.f64 -3 (+.f64 -1 z)))) 4)
(+.f64 (/.f64 (.f64 y (-.f64 1 z)) 4) (/.f64 (.f64 y (*.f64 -3 (+.f64 z -1))) 4))
(/.f64 (+.f64 (.f64 (+.f64 -1 z) (.f64 -3 y)) (*.f64 y (-.f64 1 z))) 4)
(/.f64 (.f64 y (+.f64 (.f64 -3 (+.f64 -1 z)) (-.f64 1 z))) 4)
(/.f64 (.f64 y (+.f64 (-.f64 1 z) (.f64 -3 (+.f64 -1 z)))) 4)
(+.f64 (+.f64 (.f64 y (-.f64 1/2 (/.f64 z 2))) (/.f64 (.f64 y (-.f64 1 z)) 4)) (/.f64 (*.f64 y (-.f64 1 z)) 4))
(*.f64 y (-.f64 1 z))
(+.f64 (/.f64 (/.f64 (.f64 y (.f64 -3 (+.f64 z -1))) 2) 2) (/.f64 (*.f64 y (-.f64 1 z)) 4))
(/.f64 (+.f64 (.f64 (+.f64 -1 z) (.f64 -3 y)) (*.f64 y (-.f64 1 z))) 4)
(/.f64 (.f64 y (+.f64 (.f64 -3 (+.f64 -1 z)) (-.f64 1 z))) 4)
(/.f64 (.f64 y (+.f64 (-.f64 1 z) (.f64 -3 (+.f64 -1 z)))) 4)
(+.f64 (/.f64 (.f64 y (.f64 -3 (+.f64 z -1))) 4) (/.f64 (*.f64 y (-.f64 1 z)) 4))
(/.f64 (+.f64 (.f64 (+.f64 -1 z) (.f64 -3 y)) (*.f64 y (-.f64 1 z))) 4)
(/.f64 (.f64 y (+.f64 (.f64 -3 (+.f64 -1 z)) (-.f64 1 z))) 4)
(/.f64 (.f64 y (+.f64 (-.f64 1 z) (.f64 -3 (+.f64 -1 z)))) 4)
(-.f64 (*.f64 y (-.f64 1 z)) 0)
(*.f64 y (-.f64 1 z))
(-.f64 0 (*.f64 y (+.f64 z -1)))
(neg.f64 (*.f64 y (+.f64 -1 z)))
(*.f64 (+.f64 -1 z) (neg.f64 y))
(*.f64 y (neg.f64 (+.f64 -1 z)))
(-.f64 (.f64 y (-.f64 1/2 (/.f64 z 2))) (.f64 (+.f64 z -1) (*.f64 y 1/2)))
(-.f64 (.f64 y (-.f64 1/2 (/.f64 z 2))) (.f64 (+.f64 -1 z) (*.f64 y 1/2)))
(-.f64 (.f64 y (-.f64 1/2 (/.f64 z 2))) (.f64 y (*.f64 1/2 (+.f64 -1 z))))
(.f64 y (-.f64 (-.f64 1/2 (/.f64 z 2)) (.f64 1/2 (+.f64 -1 z))))
(.f64 y (-.f64 1/2 (+.f64 (.f64 1/2 (+.f64 -1 z)) (/.f64 z 2))))
(-.f64 (+.f64 (.f64 y (-.f64 1/2 (/.f64 z 2))) (/.f64 (.f64 y (-.f64 1 z)) 4)) (neg.f64 (/.f64 (*.f64 y (-.f64 1 z)) 4)))
(*.f64 y (-.f64 1 z))
(-.f64 (/.f64 (/.f64 (.f64 y (.f64 -3 (+.f64 z -1))) 2) 2) (/.f64 (.f64 (+.f64 z -1) (.f64 y 1/2)) 2))
(-.f64 (/.f64 (.f64 (+.f64 -1 z) (.f64 -3 y)) 4) (/.f64 (.f64 (+.f64 -1 z) (.f64 y 1/2)) 2))
(/.f64 (-.f64 (.f64 y (.f64 -3 (+.f64 -1 z))) (.f64 (.f64 y (+.f64 -1 z)) 1)) 4)
(/.f64 (.f64 (.f64 y (+.f64 -1 z)) -4) 4)
(/.f64 (.f64 (+.f64 -1 z) (.f64 y -4)) 4)
(-.f64 (/.f64 (.f64 y (.f64 -3 (+.f64 z -1))) 4) (/.f64 (*.f64 y (+.f64 z -1)) 4))
(-.f64 (/.f64 (.f64 (+.f64 -1 z) (.f64 -3 y)) 4) (/.f64 (.f64 (+.f64 -1 z) (.f64 y 1/2)) 2))
(/.f64 (-.f64 (.f64 y (.f64 -3 (+.f64 -1 z))) (.f64 (.f64 y (+.f64 -1 z)) 1)) 4)
(/.f64 (.f64 (.f64 y (+.f64 -1 z)) -4) 4)
(/.f64 (.f64 (+.f64 -1 z) (.f64 y -4)) 4)
(/.f64 (*.f64 y (-.f64 1 z)) 1)
(*.f64 y (-.f64 1 z))
(/.f64 (*.f64 y (+.f64 2 (/.f64 z -1/2))) 2)
(neg.f64 (*.f64 y (+.f64 -1 z)))
(*.f64 (+.f64 -1 z) (neg.f64 y))
(*.f64 y (neg.f64 (+.f64 -1 z)))
(/.f64 (*.f64 y (+.f64 z -1)) -1)
(neg.f64 (*.f64 y (+.f64 -1 z)))
(*.f64 (+.f64 -1 z) (neg.f64 y))
(*.f64 y (neg.f64 (+.f64 -1 z)))
(/.f64 (*.f64 y (-.f64 1/2 (/.f64 z 2))) 1/2)
(*.f64 y (-.f64 1 z))
(/.f64 (.f64 y (.f64 (-.f64 1 z) 4)) 4)
(*.f64 y (-.f64 1 z))
(/.f64 (.f64 (+.f64 z -1) (.f64 y 4)) -4)
(neg.f64 (*.f64 y (+.f64 -1 z)))
(*.f64 (+.f64 -1 z) (neg.f64 y))
(*.f64 y (neg.f64 (+.f64 -1 z)))
(/.f64 (.f64 (.f64 y 4) (*.f64 (-.f64 1 z) 4)) 16)
(*.f64 y (-.f64 1 z))
(/.f64 (.f64 y (.f64 (+.f64 2 (/.f64 z -1/2)) 4)) 8)
(neg.f64 (*.f64 y (+.f64 -1 z)))
(*.f64 (+.f64 -1 z) (neg.f64 y))
(*.f64 y (neg.f64 (+.f64 -1 z)))
(/.f64 (*.f64 y (-.f64 z (-.f64 2 z))) -2)
(/.f64 (/.f64 (.f64 (+.f64 z -1) (.f64 y 4)) 2) -2)
(neg.f64 (*.f64 y (+.f64 -1 z)))
(*.f64 (+.f64 -1 z) (neg.f64 y))
(*.f64 y (neg.f64 (+.f64 -1 z)))
(/.f64 (+.f64 (.f64 y (-.f64 z (-.f64 2 z))) (.f64 y (-.f64 z (-.f64 2 z)))) -4)
(/.f64 (*.f64 y (-.f64 z (-.f64 2 z))) -2)
(/.f64 (+.f64 (.f64 (+.f64 z -1) (.f64 y 4)) (.f64 (+.f64 z -1) (.f64 y 4))) -8)
(neg.f64 (*.f64 y (+.f64 -1 z)))
(*.f64 (+.f64 -1 z) (neg.f64 y))
(*.f64 y (neg.f64 (+.f64 -1 z)))
(/.f64 (+.f64 (.f64 y (.f64 (+.f64 2 (/.f64 z -1/2)) 4)) (.f64 y (.f64 (+.f64 2 (/.f64 z -1/2)) 4))) 16)
(neg.f64 (*.f64 y (+.f64 -1 z)))
(*.f64 (+.f64 -1 z) (neg.f64 y))
(*.f64 y (neg.f64 (+.f64 -1 z)))
(/.f64 (+.f64 (.f64 (.f64 y 4) (.f64 (-.f64 1 z) 4)) (.f64 (.f64 y 4) (.f64 (-.f64 1 z) 4))) 32)
(*.f64 y (-.f64 1 z))
(/.f64 (.f64 (.f64 2 (.f64 y 4)) (.f64 (+.f64 2 (/.f64 z -1/2)) 4)) 64)
(neg.f64 (*.f64 y (+.f64 -1 z)))
(*.f64 (+.f64 -1 z) (neg.f64 y))
(*.f64 y (neg.f64 (+.f64 -1 z)))
(/.f64 (neg.f64 (.f64 (.f64 y 4) (*.f64 (-.f64 1 z) 4))) -16)
(*.f64 y (-.f64 1 z))
(/.f64 (.f64 (.f64 y 4) (-.f64 z (-.f64 2 z))) -8)
(/.f64 (.f64 y (.f64 4 (-.f64 z (-.f64 2 z)))) -8)
(/.f64 (.f64 (+.f64 z -1) (+.f64 (.f64 2 (.f64 y 4)) (.f64 2 (*.f64 y 4)))) -16)
(neg.f64 (*.f64 y (+.f64 -1 z)))
(*.f64 (+.f64 -1 z) (neg.f64 y))
(*.f64 y (neg.f64 (+.f64 -1 z)))
(/.f64 (*.f64 (-.f64 1 z) (neg.f64 y)) -1)
(*.f64 y (-.f64 1 z))
(/.f64 (.f64 (-.f64 1 z) (.f64 y -2)) -2)
(*.f64 y (-.f64 1 z))
(/.f64 (.f64 (-.f64 1 z) (neg.f64 (.f64 y 4))) -4)
(*.f64 y (-.f64 1 z))
(/.f64 (.f64 (-.f64 1 z) (neg.f64 (.f64 2 (*.f64 y 4)))) -8)
(*.f64 y (-.f64 1 z))
(/.f64 (.f64 (-.f64 z (-.f64 2 z)) (.f64 y 1/2)) -1)
(/.f64 (*.f64 y (-.f64 z (-.f64 2 z))) -2)
(/.f64 (.f64 (+.f64 (/.f64 z 2) -1/2) (+.f64 (.f64 2 (.f64 y 4)) (.f64 2 (*.f64 y 4)))) -8)
(neg.f64 (*.f64 y (+.f64 -1 z)))
(*.f64 (+.f64 -1 z) (neg.f64 y))
(*.f64 y (neg.f64 (+.f64 -1 z)))
(/.f64 (.f64 y (neg.f64 (.f64 (-.f64 1 z) 4))) -4)
(*.f64 y (-.f64 1 z))
(/.f64 (.f64 y (neg.f64 (.f64 (+.f64 2 (/.f64 z -1/2)) 4))) -8)
(neg.f64 (*.f64 y (+.f64 -1 z)))
(*.f64 (+.f64 -1 z) (neg.f64 y))
(*.f64 y (neg.f64 (+.f64 -1 z)))
(/.f64 (*.f64 y (+.f64 (-.f64 z (-.f64 2 z)) (-.f64 z (-.f64 2 z)))) -4)
(/.f64 (*.f64 y (-.f64 z (-.f64 2 z))) -2)
(/.f64 (*.f64 (-.f64 1/2 (/.f64 z 2)) (neg.f64 y)) -1/2)
(*.f64 y (-.f64 1 z))
(/.f64 (.f64 (-.f64 1/2 (/.f64 z 2)) (.f64 y -2)) -1)
(*.f64 y (-.f64 1 z))
(/.f64 (*.f64 (+.f64 2 (/.f64 z -1/2)) (neg.f64 y)) -2)
(neg.f64 (*.f64 y (+.f64 -1 z)))
(*.f64 (+.f64 -1 z) (neg.f64 y))
(*.f64 y (neg.f64 (+.f64 -1 z)))
(/.f64 (*.f64 (+.f64 2 (/.f64 z -1/2)) (/.f64 y -2)) -1)
(neg.f64 (*.f64 y (+.f64 -1 z)))
(*.f64 (+.f64 -1 z) (neg.f64 y))
(*.f64 y (neg.f64 (+.f64 -1 z)))
(/.f64 (.f64 (+.f64 2 (/.f64 z -1/2)) (.f64 y -2)) -4)
(neg.f64 (*.f64 y (+.f64 -1 z)))
(*.f64 (+.f64 -1 z) (neg.f64 y))
(*.f64 y (neg.f64 (+.f64 -1 z)))
(pow.f64 (*.f64 y (-.f64 1 z)) 1)
(*.f64 y (-.f64 1 z))
(neg.f64 (*.f64 y (+.f64 z -1)))
(neg.f64 (*.f64 y (+.f64 -1 z)))
(*.f64 (+.f64 -1 z) (neg.f64 y))
(*.f64 y (neg.f64 (+.f64 -1 z)))

localize53.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

series5.0ms (0%)

Counts

1 → 12

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(*.f64 (-.f64 1 z) x)
2.0ms	z	@	0	(*.f64 (-.f64 1 z) x)
0.0ms	x	@	inf	(*.f64 (-.f64 1 z) x)
0.0ms	z	@	inf	(*.f64 (-.f64 1 z) x)
0.0ms	x	@	-inf	(*.f64 (-.f64 1 z) x)

rewrite411.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1390×	`rational_best-1`
1388×	`rational_best-4`
1388×	`rational_best-2`
1388×	`rational_best-3`
1388×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	44	13
2	81	13
3	217	13
4	742	13
5	4180	13

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 z) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 z) (*.f64 x 1/2)) (*.f64 (-.f64 1 z) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (-.f64 1 z) x) 4) (+.f64 (*.f64 (-.f64 1 z) (*.f64 x 1/2)) (/.f64 (*.f64 (-.f64 1 z) x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (-.f64 1 z) x) 4) (/.f64 (*.f64 -3 (*.f64 (+.f64 z -1) (*.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (-.f64 1 z) x) 4) (/.f64 (*.f64 (-.f64 1 z) (*.f64 x 3)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (-.f64 1 z) (*.f64 x 1/2)) (/.f64 (*.f64 (-.f64 1 z) x) 4)) (/.f64 (*.f64 (-.f64 1 z) x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 -3 (*.f64 (+.f64 z -1) (*.f64 x 1/2))) 2) (/.f64 (*.f64 (-.f64 1 z) x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (-.f64 1 z) (*.f64 x 3)) 4) (/.f64 (*.f64 (-.f64 1 z) x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (-.f64 1 z) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 x (+.f64 z -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (-.f64 1 z) (*.f64 x 1/2)) (*.f64 (+.f64 z -1) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (-.f64 1 z) (*.f64 x 1/2)) (/.f64 (*.f64 (-.f64 1 z) x) 4)) (neg.f64 (/.f64 (*.f64 (-.f64 1 z) x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 -3 (*.f64 (+.f64 z -1) (*.f64 x 1/2))) 2) (/.f64 (*.f64 (+.f64 z -1) (*.f64 x 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (-.f64 1 z) (*.f64 x 3)) 4) (/.f64 (*.f64 x (+.f64 z -1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 z) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 z) (+.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 z -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 z) (*.f64 x 1/2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 z) (*.f64 x 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 z -1) (+.f64 x x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 z -1) (*.f64 x 4)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (-.f64 1 z) 4) (*.f64 x 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 z) (*.f64 2 (*.f64 x 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 z -1) (*.f64 x 4)) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 z -1) (+.f64 x x)) (*.f64 (+.f64 z -1) (+.f64 x x))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 z -1) (*.f64 x 4)) (*.f64 (+.f64 z -1) (*.f64 x 4))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (-.f64 1 z) (*.f64 2 (*.f64 x 4))) (*.f64 (-.f64 1 z) (*.f64 2 (*.f64 x 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 (-.f64 1 z) 4) (*.f64 x 4)) (*.f64 (*.f64 (-.f64 1 z) 4) (*.f64 x 4))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (-.f64 1 z) 4)) (*.f64 2 (*.f64 x 4))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (*.f64 (-.f64 1 z) 4) (*.f64 x 4))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 z -1) (*.f64 2 (*.f64 x 4))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 z -1) (+.f64 (*.f64 2 (*.f64 x 4)) (*.f64 2 (*.f64 x 4)))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 z) (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 z) (*.f64 x -2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 z -1) 2) (*.f64 x 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (+.f64 z -1) 2) (+.f64 (*.f64 2 (*.f64 x 4)) (*.f64 2 (*.f64 x 4)))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (*.f64 (+.f64 z -1) 2) (*.f64 (+.f64 z -1) 2))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (-.f64 1 z) 2) (neg.f64 x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (-.f64 1 z) 2) (*.f64 x -2)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 z) (neg.f64 (*.f64 x 4))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 z) (neg.f64 (*.f64 2 (*.f64 x 4)))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 (*.f64 (-.f64 1 z) 4))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 (*.f64 2 (*.f64 (-.f64 1 z) 4)))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (-.f64 1 z) 2) (/.f64 x -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1/2 (/.f64 z -2)) (neg.f64 x)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1/2 (/.f64 z -2)) (*.f64 x -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 z) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (+.f64 z -1)))))))

simplify398.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1046×	`rational_best-simplify-1`
914×	`rational_best-simplify-49`
910×	`rational_best-simplify-48`
846×	`rational_best-simplify-55`
830×	`rational_best-simplify-47`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	139	1129
1	369	1009
2	992	1009
3	2923	777

Stop Event

1×	node limit

Counts

61 → 59

Calls

Call 1

Inputs
x
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(.f64 -1 (.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(.f64 -1 (.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (*.f64 (-.f64 1 z) x) 0)
(+.f64 0 (*.f64 (-.f64 1 z) x))
(+.f64 (.f64 (-.f64 1 z) (.f64 x 1/2)) (.f64 (-.f64 1 z) (.f64 x 1/2)))
(+.f64 (/.f64 (.f64 (-.f64 1 z) x) 4) (+.f64 (.f64 (-.f64 1 z) (.f64 x 1/2)) (/.f64 (.f64 (-.f64 1 z) x) 4)))
(+.f64 (/.f64 (.f64 (-.f64 1 z) x) 4) (/.f64 (.f64 -3 (.f64 (+.f64 z -1) (.f64 x 1/2))) 2))
(+.f64 (/.f64 (.f64 (-.f64 1 z) x) 4) (/.f64 (.f64 (-.f64 1 z) (*.f64 x 3)) 4))
(+.f64 (+.f64 (.f64 (-.f64 1 z) (.f64 x 1/2)) (/.f64 (.f64 (-.f64 1 z) x) 4)) (/.f64 (.f64 (-.f64 1 z) x) 4))
(+.f64 (/.f64 (.f64 -3 (.f64 (+.f64 z -1) (.f64 x 1/2))) 2) (/.f64 (.f64 (-.f64 1 z) x) 4))
(+.f64 (/.f64 (.f64 (-.f64 1 z) (.f64 x 3)) 4) (/.f64 (*.f64 (-.f64 1 z) x) 4))
(-.f64 (*.f64 (-.f64 1 z) x) 0)
(-.f64 0 (*.f64 x (+.f64 z -1)))
(-.f64 (.f64 (-.f64 1 z) (.f64 x 1/2)) (.f64 (+.f64 z -1) (.f64 x 1/2)))
(-.f64 (+.f64 (.f64 (-.f64 1 z) (.f64 x 1/2)) (/.f64 (.f64 (-.f64 1 z) x) 4)) (neg.f64 (/.f64 (.f64 (-.f64 1 z) x) 4)))
(-.f64 (/.f64 (.f64 -3 (.f64 (+.f64 z -1) (.f64 x 1/2))) 2) (/.f64 (.f64 (+.f64 z -1) (*.f64 x 1/2)) 2))
(-.f64 (/.f64 (.f64 (-.f64 1 z) (.f64 x 3)) 4) (/.f64 (*.f64 x (+.f64 z -1)) 4))
(/.f64 (*.f64 (-.f64 1 z) x) 1)
(/.f64 (*.f64 (-.f64 1 z) (+.f64 x x)) 2)
(/.f64 (*.f64 x (+.f64 z -1)) -1)
(/.f64 (.f64 (-.f64 1 z) (.f64 x 1/2)) 1/2)
(/.f64 (.f64 (-.f64 1 z) (.f64 x 4)) 4)
(/.f64 (*.f64 (+.f64 z -1) (+.f64 x x)) -2)
(/.f64 (.f64 (+.f64 z -1) (.f64 x 4)) -4)
(/.f64 (.f64 (.f64 (-.f64 1 z) 4) (*.f64 x 4)) 16)
(/.f64 (.f64 (-.f64 1 z) (.f64 2 (*.f64 x 4))) 8)
(/.f64 (/.f64 (.f64 (+.f64 z -1) (.f64 x 4)) 2) -2)
(/.f64 (+.f64 (.f64 (+.f64 z -1) (+.f64 x x)) (.f64 (+.f64 z -1) (+.f64 x x))) -4)
(/.f64 (+.f64 (.f64 (+.f64 z -1) (.f64 x 4)) (.f64 (+.f64 z -1) (.f64 x 4))) -8)
(/.f64 (+.f64 (.f64 (-.f64 1 z) (.f64 2 (.f64 x 4))) (.f64 (-.f64 1 z) (.f64 2 (.f64 x 4)))) 16)
(/.f64 (+.f64 (.f64 (.f64 (-.f64 1 z) 4) (.f64 x 4)) (.f64 (.f64 (-.f64 1 z) 4) (.f64 x 4))) 32)
(/.f64 (.f64 (.f64 2 (.f64 (-.f64 1 z) 4)) (.f64 2 (*.f64 x 4))) 64)
(/.f64 (neg.f64 (.f64 (.f64 (-.f64 1 z) 4) (*.f64 x 4))) -16)
(/.f64 (.f64 (+.f64 z -1) (.f64 2 (*.f64 x 4))) -8)
(/.f64 (.f64 (+.f64 z -1) (+.f64 (.f64 2 (.f64 x 4)) (.f64 2 (*.f64 x 4)))) -16)
(/.f64 (*.f64 (-.f64 1 z) (neg.f64 x)) -1)
(/.f64 (.f64 (-.f64 1 z) (.f64 x -2)) -2)
(/.f64 (.f64 (.f64 (+.f64 z -1) 2) (*.f64 x 1/2)) -1)
(/.f64 (.f64 (/.f64 (+.f64 z -1) 2) (+.f64 (.f64 2 (.f64 x 4)) (.f64 2 (*.f64 x 4)))) -8)
(/.f64 (.f64 x (+.f64 (.f64 (+.f64 z -1) 2) (*.f64 (+.f64 z -1) 2))) -4)
(/.f64 (.f64 (.f64 (-.f64 1 z) 2) (neg.f64 x)) -2)
(/.f64 (.f64 (.f64 (-.f64 1 z) 2) (*.f64 x -2)) -4)
(/.f64 (.f64 (-.f64 1 z) (neg.f64 (.f64 x 4))) -4)
(/.f64 (.f64 (-.f64 1 z) (neg.f64 (.f64 2 (*.f64 x 4)))) -8)
(/.f64 (.f64 x (neg.f64 (.f64 (-.f64 1 z) 4))) -4)
(/.f64 (.f64 x (neg.f64 (.f64 2 (*.f64 (-.f64 1 z) 4)))) -8)
(/.f64 (.f64 (.f64 (-.f64 1 z) 2) (/.f64 x -2)) -1)
(/.f64 (*.f64 (+.f64 1/2 (/.f64 z -2)) (neg.f64 x)) -1/2)
(/.f64 (.f64 (+.f64 1/2 (/.f64 z -2)) (.f64 x -2)) -1)
(pow.f64 (*.f64 (-.f64 1 z) x) 1)
(neg.f64 (*.f64 x (+.f64 z -1)))

Outputs
x
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 x (.f64 x (.f64 z -1)))
(+.f64 x (*.f64 z (neg.f64 x)))
(*.f64 x (-.f64 (neg.f64 z) -1))
(*.f64 x (-.f64 1 z))
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 x (.f64 x (.f64 z -1)))
(+.f64 x (*.f64 z (neg.f64 x)))
(*.f64 x (-.f64 (neg.f64 z) -1))
(*.f64 x (-.f64 1 z))
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 x (.f64 x (.f64 z -1)))
(+.f64 x (*.f64 z (neg.f64 x)))
(*.f64 x (-.f64 (neg.f64 z) -1))
(*.f64 x (-.f64 1 z))
(.f64 -1 (.f64 z x))
(.f64 x (.f64 z -1))
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 x (.f64 x (.f64 z -1)))
(+.f64 x (*.f64 z (neg.f64 x)))
(*.f64 x (-.f64 (neg.f64 z) -1))
(*.f64 x (-.f64 1 z))
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 x (.f64 x (.f64 z -1)))
(+.f64 x (*.f64 z (neg.f64 x)))
(*.f64 x (-.f64 (neg.f64 z) -1))
(*.f64 x (-.f64 1 z))
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 x (.f64 x (.f64 z -1)))
(+.f64 x (*.f64 z (neg.f64 x)))
(*.f64 x (-.f64 (neg.f64 z) -1))
(*.f64 x (-.f64 1 z))
(.f64 -1 (.f64 z x))
(.f64 x (.f64 z -1))
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 x (.f64 x (.f64 z -1)))
(+.f64 x (*.f64 z (neg.f64 x)))
(*.f64 x (-.f64 (neg.f64 z) -1))
(*.f64 x (-.f64 1 z))
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 x (.f64 x (.f64 z -1)))
(+.f64 x (*.f64 z (neg.f64 x)))
(*.f64 x (-.f64 (neg.f64 z) -1))
(*.f64 x (-.f64 1 z))
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 x (.f64 x (.f64 z -1)))
(+.f64 x (*.f64 z (neg.f64 x)))
(*.f64 x (-.f64 (neg.f64 z) -1))
(*.f64 x (-.f64 1 z))
(+.f64 (*.f64 (-.f64 1 z) x) 0)
(+.f64 x (.f64 x (.f64 z -1)))
(+.f64 x (*.f64 z (neg.f64 x)))
(*.f64 x (-.f64 (neg.f64 z) -1))
(*.f64 x (-.f64 1 z))
(+.f64 0 (*.f64 (-.f64 1 z) x))
(+.f64 x (.f64 x (.f64 z -1)))
(+.f64 x (*.f64 z (neg.f64 x)))
(*.f64 x (-.f64 (neg.f64 z) -1))
(*.f64 x (-.f64 1 z))
(+.f64 (.f64 (-.f64 1 z) (.f64 x 1/2)) (.f64 (-.f64 1 z) (.f64 x 1/2)))
(+.f64 x (.f64 x (.f64 z -1)))
(+.f64 x (*.f64 z (neg.f64 x)))
(*.f64 x (-.f64 (neg.f64 z) -1))
(*.f64 x (-.f64 1 z))
(+.f64 (/.f64 (.f64 (-.f64 1 z) x) 4) (+.f64 (.f64 (-.f64 1 z) (.f64 x 1/2)) (/.f64 (.f64 (-.f64 1 z) x) 4)))
(+.f64 x (.f64 x (.f64 z -1)))
(+.f64 x (*.f64 z (neg.f64 x)))
(*.f64 x (-.f64 (neg.f64 z) -1))
(*.f64 x (-.f64 1 z))
(+.f64 (/.f64 (.f64 (-.f64 1 z) x) 4) (/.f64 (.f64 -3 (.f64 (+.f64 z -1) (.f64 x 1/2))) 2))
(+.f64 x (.f64 x (.f64 z -1)))
(+.f64 x (*.f64 z (neg.f64 x)))
(*.f64 x (-.f64 (neg.f64 z) -1))
(*.f64 x (-.f64 1 z))
(+.f64 (/.f64 (.f64 (-.f64 1 z) x) 4) (/.f64 (.f64 (-.f64 1 z) (*.f64 x 3)) 4))
(+.f64 x (.f64 x (.f64 z -1)))
(+.f64 x (*.f64 z (neg.f64 x)))
(*.f64 x (-.f64 (neg.f64 z) -1))
(*.f64 x (-.f64 1 z))
(+.f64 (+.f64 (.f64 (-.f64 1 z) (.f64 x 1/2)) (/.f64 (.f64 (-.f64 1 z) x) 4)) (/.f64 (.f64 (-.f64 1 z) x) 4))
(+.f64 x (.f64 x (.f64 z -1)))
(+.f64 x (*.f64 z (neg.f64 x)))
(*.f64 x (-.f64 (neg.f64 z) -1))
(*.f64 x (-.f64 1 z))
(+.f64 (/.f64 (.f64 -3 (.f64 (+.f64 z -1) (.f64 x 1/2))) 2) (/.f64 (.f64 (-.f64 1 z) x) 4))
(+.f64 x (.f64 x (.f64 z -1)))
(+.f64 x (*.f64 z (neg.f64 x)))
(*.f64 x (-.f64 (neg.f64 z) -1))
(*.f64 x (-.f64 1 z))
(+.f64 (/.f64 (.f64 (-.f64 1 z) (.f64 x 3)) 4) (/.f64 (*.f64 (-.f64 1 z) x) 4))
(+.f64 x (.f64 x (.f64 z -1)))
(+.f64 x (*.f64 z (neg.f64 x)))
(*.f64 x (-.f64 (neg.f64 z) -1))
(*.f64 x (-.f64 1 z))
(-.f64 (*.f64 (-.f64 1 z) x) 0)
(+.f64 x (.f64 x (.f64 z -1)))
(+.f64 x (*.f64 z (neg.f64 x)))
(*.f64 x (-.f64 (neg.f64 z) -1))
(*.f64 x (-.f64 1 z))
(-.f64 0 (*.f64 x (+.f64 z -1)))
(+.f64 x (.f64 x (.f64 z -1)))
(+.f64 x (*.f64 z (neg.f64 x)))
(*.f64 x (-.f64 (neg.f64 z) -1))
(*.f64 x (-.f64 1 z))
(-.f64 (.f64 (-.f64 1 z) (.f64 x 1/2)) (.f64 (+.f64 z -1) (.f64 x 1/2)))
(+.f64 x (.f64 x (.f64 z -1)))
(+.f64 x (*.f64 z (neg.f64 x)))
(*.f64 x (-.f64 (neg.f64 z) -1))
(*.f64 x (-.f64 1 z))
(-.f64 (+.f64 (.f64 (-.f64 1 z) (.f64 x 1/2)) (/.f64 (.f64 (-.f64 1 z) x) 4)) (neg.f64 (/.f64 (.f64 (-.f64 1 z) x) 4)))
(+.f64 x (.f64 x (.f64 z -1)))
(+.f64 x (*.f64 z (neg.f64 x)))
(*.f64 x (-.f64 (neg.f64 z) -1))
(*.f64 x (-.f64 1 z))
(-.f64 (/.f64 (.f64 -3 (.f64 (+.f64 z -1) (.f64 x 1/2))) 2) (/.f64 (.f64 (+.f64 z -1) (*.f64 x 1/2)) 2))
(+.f64 x (.f64 x (.f64 z -1)))
(+.f64 x (*.f64 z (neg.f64 x)))
(*.f64 x (-.f64 (neg.f64 z) -1))
(*.f64 x (-.f64 1 z))
(-.f64 (/.f64 (.f64 (-.f64 1 z) (.f64 x 3)) 4) (/.f64 (*.f64 x (+.f64 z -1)) 4))
(+.f64 x (.f64 x (.f64 z -1)))
(+.f64 x (*.f64 z (neg.f64 x)))
(*.f64 x (-.f64 (neg.f64 z) -1))
(*.f64 x (-.f64 1 z))
(/.f64 (*.f64 (-.f64 1 z) x) 1)
(+.f64 x (.f64 x (.f64 z -1)))
(+.f64 x (*.f64 z (neg.f64 x)))
(*.f64 x (-.f64 (neg.f64 z) -1))
(*.f64 x (-.f64 1 z))
(/.f64 (*.f64 (-.f64 1 z) (+.f64 x x)) 2)
(+.f64 x (.f64 x (.f64 z -1)))
(+.f64 x (*.f64 z (neg.f64 x)))
(*.f64 x (-.f64 (neg.f64 z) -1))
(*.f64 x (-.f64 1 z))
(/.f64 (*.f64 x (+.f64 z -1)) -1)
(+.f64 x (.f64 x (.f64 z -1)))
(+.f64 x (*.f64 z (neg.f64 x)))
(*.f64 x (-.f64 (neg.f64 z) -1))
(*.f64 x (-.f64 1 z))
(/.f64 (.f64 (-.f64 1 z) (.f64 x 1/2)) 1/2)
(+.f64 x (.f64 x (.f64 z -1)))
(+.f64 x (*.f64 z (neg.f64 x)))
(*.f64 x (-.f64 (neg.f64 z) -1))
(*.f64 x (-.f64 1 z))
(/.f64 (.f64 (-.f64 1 z) (.f64 x 4)) 4)
(+.f64 x (.f64 x (.f64 z -1)))
(+.f64 x (*.f64 z (neg.f64 x)))
(*.f64 x (-.f64 (neg.f64 z) -1))
(*.f64 x (-.f64 1 z))
(/.f64 (*.f64 (+.f64 z -1) (+.f64 x x)) -2)
(+.f64 x (.f64 x (.f64 z -1)))
(+.f64 x (*.f64 z (neg.f64 x)))
(*.f64 x (-.f64 (neg.f64 z) -1))
(*.f64 x (-.f64 1 z))
(/.f64 (.f64 (+.f64 z -1) (.f64 x 4)) -4)
(+.f64 x (.f64 x (.f64 z -1)))
(+.f64 x (*.f64 z (neg.f64 x)))
(*.f64 x (-.f64 (neg.f64 z) -1))
(*.f64 x (-.f64 1 z))
(/.f64 (.f64 (.f64 (-.f64 1 z) 4) (*.f64 x 4)) 16)
(+.f64 x (.f64 x (.f64 z -1)))
(+.f64 x (*.f64 z (neg.f64 x)))
(*.f64 x (-.f64 (neg.f64 z) -1))
(*.f64 x (-.f64 1 z))
(/.f64 (.f64 (-.f64 1 z) (.f64 2 (*.f64 x 4))) 8)
(+.f64 x (.f64 x (.f64 z -1)))
(+.f64 x (*.f64 z (neg.f64 x)))
(*.f64 x (-.f64 (neg.f64 z) -1))
(*.f64 x (-.f64 1 z))
(/.f64 (/.f64 (.f64 (+.f64 z -1) (.f64 x 4)) 2) -2)
(+.f64 x (.f64 x (.f64 z -1)))
(+.f64 x (*.f64 z (neg.f64 x)))
(*.f64 x (-.f64 (neg.f64 z) -1))
(*.f64 x (-.f64 1 z))
(/.f64 (+.f64 (.f64 (+.f64 z -1) (+.f64 x x)) (.f64 (+.f64 z -1) (+.f64 x x))) -4)
(+.f64 x (.f64 x (.f64 z -1)))
(+.f64 x (*.f64 z (neg.f64 x)))
(*.f64 x (-.f64 (neg.f64 z) -1))
(*.f64 x (-.f64 1 z))
(/.f64 (+.f64 (.f64 (+.f64 z -1) (.f64 x 4)) (.f64 (+.f64 z -1) (.f64 x 4))) -8)
(+.f64 x (.f64 x (.f64 z -1)))
(+.f64 x (*.f64 z (neg.f64 x)))
(*.f64 x (-.f64 (neg.f64 z) -1))
(*.f64 x (-.f64 1 z))
(/.f64 (+.f64 (.f64 (-.f64 1 z) (.f64 2 (.f64 x 4))) (.f64 (-.f64 1 z) (.f64 2 (.f64 x 4)))) 16)
(+.f64 x (.f64 x (.f64 z -1)))
(+.f64 x (*.f64 z (neg.f64 x)))
(*.f64 x (-.f64 (neg.f64 z) -1))
(*.f64 x (-.f64 1 z))
(/.f64 (+.f64 (.f64 (.f64 (-.f64 1 z) 4) (.f64 x 4)) (.f64 (.f64 (-.f64 1 z) 4) (.f64 x 4))) 32)
(+.f64 x (.f64 x (.f64 z -1)))
(+.f64 x (*.f64 z (neg.f64 x)))
(*.f64 x (-.f64 (neg.f64 z) -1))
(*.f64 x (-.f64 1 z))
(/.f64 (.f64 (.f64 2 (.f64 (-.f64 1 z) 4)) (.f64 2 (*.f64 x 4))) 64)
(+.f64 x (.f64 x (.f64 z -1)))
(+.f64 x (*.f64 z (neg.f64 x)))
(*.f64 x (-.f64 (neg.f64 z) -1))
(*.f64 x (-.f64 1 z))
(/.f64 (neg.f64 (.f64 (.f64 (-.f64 1 z) 4) (*.f64 x 4))) -16)
(+.f64 x (.f64 x (.f64 z -1)))
(+.f64 x (*.f64 z (neg.f64 x)))
(*.f64 x (-.f64 (neg.f64 z) -1))
(*.f64 x (-.f64 1 z))
(/.f64 (.f64 (+.f64 z -1) (.f64 2 (*.f64 x 4))) -8)
(+.f64 x (.f64 x (.f64 z -1)))
(+.f64 x (*.f64 z (neg.f64 x)))
(*.f64 x (-.f64 (neg.f64 z) -1))
(*.f64 x (-.f64 1 z))
(/.f64 (.f64 (+.f64 z -1) (+.f64 (.f64 2 (.f64 x 4)) (.f64 2 (*.f64 x 4)))) -16)
(+.f64 x (.f64 x (.f64 z -1)))
(+.f64 x (*.f64 z (neg.f64 x)))
(*.f64 x (-.f64 (neg.f64 z) -1))
(*.f64 x (-.f64 1 z))
(/.f64 (*.f64 (-.f64 1 z) (neg.f64 x)) -1)
(+.f64 x (.f64 x (.f64 z -1)))
(+.f64 x (*.f64 z (neg.f64 x)))
(*.f64 x (-.f64 (neg.f64 z) -1))
(*.f64 x (-.f64 1 z))
(/.f64 (.f64 (-.f64 1 z) (.f64 x -2)) -2)
(+.f64 x (.f64 x (.f64 z -1)))
(+.f64 x (*.f64 z (neg.f64 x)))
(*.f64 x (-.f64 (neg.f64 z) -1))
(*.f64 x (-.f64 1 z))
(/.f64 (.f64 (.f64 (+.f64 z -1) 2) (*.f64 x 1/2)) -1)
(+.f64 x (.f64 x (.f64 z -1)))
(+.f64 x (*.f64 z (neg.f64 x)))
(*.f64 x (-.f64 (neg.f64 z) -1))
(*.f64 x (-.f64 1 z))
(/.f64 (.f64 (/.f64 (+.f64 z -1) 2) (+.f64 (.f64 2 (.f64 x 4)) (.f64 2 (*.f64 x 4)))) -8)
(+.f64 x (.f64 x (.f64 z -1)))
(+.f64 x (*.f64 z (neg.f64 x)))
(*.f64 x (-.f64 (neg.f64 z) -1))
(*.f64 x (-.f64 1 z))
(/.f64 (.f64 x (+.f64 (.f64 (+.f64 z -1) 2) (*.f64 (+.f64 z -1) 2))) -4)
(+.f64 x (.f64 x (.f64 z -1)))
(+.f64 x (*.f64 z (neg.f64 x)))
(*.f64 x (-.f64 (neg.f64 z) -1))
(*.f64 x (-.f64 1 z))
(/.f64 (.f64 (.f64 (-.f64 1 z) 2) (neg.f64 x)) -2)
(+.f64 x (.f64 x (.f64 z -1)))
(+.f64 x (*.f64 z (neg.f64 x)))
(*.f64 x (-.f64 (neg.f64 z) -1))
(*.f64 x (-.f64 1 z))
(/.f64 (.f64 (.f64 (-.f64 1 z) 2) (*.f64 x -2)) -4)
(+.f64 x (.f64 x (.f64 z -1)))
(+.f64 x (*.f64 z (neg.f64 x)))
(*.f64 x (-.f64 (neg.f64 z) -1))
(*.f64 x (-.f64 1 z))
(/.f64 (.f64 (-.f64 1 z) (neg.f64 (.f64 x 4))) -4)
(+.f64 x (.f64 x (.f64 z -1)))
(+.f64 x (*.f64 z (neg.f64 x)))
(*.f64 x (-.f64 (neg.f64 z) -1))
(*.f64 x (-.f64 1 z))
(/.f64 (.f64 (-.f64 1 z) (neg.f64 (.f64 2 (*.f64 x 4)))) -8)
(+.f64 x (.f64 x (.f64 z -1)))
(+.f64 x (*.f64 z (neg.f64 x)))
(*.f64 x (-.f64 (neg.f64 z) -1))
(*.f64 x (-.f64 1 z))
(/.f64 (.f64 x (neg.f64 (.f64 (-.f64 1 z) 4))) -4)
(+.f64 x (.f64 x (.f64 z -1)))
(+.f64 x (*.f64 z (neg.f64 x)))
(*.f64 x (-.f64 (neg.f64 z) -1))
(*.f64 x (-.f64 1 z))
(/.f64 (.f64 x (neg.f64 (.f64 2 (*.f64 (-.f64 1 z) 4)))) -8)
(+.f64 x (.f64 x (.f64 z -1)))
(+.f64 x (*.f64 z (neg.f64 x)))
(*.f64 x (-.f64 (neg.f64 z) -1))
(*.f64 x (-.f64 1 z))
(/.f64 (.f64 (.f64 (-.f64 1 z) 2) (/.f64 x -2)) -1)
(+.f64 x (.f64 x (.f64 z -1)))
(+.f64 x (*.f64 z (neg.f64 x)))
(*.f64 x (-.f64 (neg.f64 z) -1))
(*.f64 x (-.f64 1 z))
(/.f64 (*.f64 (+.f64 1/2 (/.f64 z -2)) (neg.f64 x)) -1/2)
(+.f64 x (.f64 x (.f64 z -1)))
(+.f64 x (*.f64 z (neg.f64 x)))
(*.f64 x (-.f64 (neg.f64 z) -1))
(*.f64 x (-.f64 1 z))
(/.f64 (.f64 (+.f64 1/2 (/.f64 z -2)) (.f64 x -2)) -1)
(+.f64 x (.f64 x (.f64 z -1)))
(+.f64 x (*.f64 z (neg.f64 x)))
(*.f64 x (-.f64 (neg.f64 z) -1))
(*.f64 x (-.f64 1 z))
(pow.f64 (*.f64 (-.f64 1 z) x) 1)
(+.f64 x (.f64 x (.f64 z -1)))
(+.f64 x (*.f64 z (neg.f64 x)))
(*.f64 x (-.f64 (neg.f64 z) -1))
(*.f64 x (-.f64 1 z))
(neg.f64 (*.f64 x (+.f64 z -1)))
(+.f64 x (.f64 x (.f64 z -1)))
(+.f64 x (*.f64 z (neg.f64 x)))
(*.f64 x (-.f64 (neg.f64 z) -1))
(*.f64 x (-.f64 1 z))

localize10.0ms (0%)

Compiler: Compiled 17 to 6 computations (64.7% saved)

eval883.0ms (4%)

Compiler: Compiled 5317 to 2811 computations (47.1% saved)

prune479.0ms (2.2%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	366	5	371
Fresh	0	0	0
Picked	0	1	1
Done	1	3	4
Total	367	9	376

Error

Counts

376 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	22.6b	(+.f64 y x)
▶	30.6b	(+.f64 x (*.f64 z (neg.f64 x)))
✓	30.6b	(*.f64 (-.f64 1 z) x)
✓	40.7b	(*.f64 (+.f64 y x) (neg.f64 z))
▶	49.7b	(*.f64 z (neg.f64 y))
▶	53.3b	(*.f64 z (neg.f64 x))
✓	32.7b	(*.f64 y (-.f64 1 z))
	45.4b	y
	40.5b	x

Compiler

Compiled 62 to 44 computations (29% saved)

localize108.0ms (0.5%)

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

localize15.0ms (0.1%)

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

localize42.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 6 computations (64.7% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite253.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1142×	`rational_best-simplify-51`
892×	`rational_best-simplify-57`
758×	`rational_best-simplify-63`
714×	`rational_best-simplify-55`
676×	`rational_best-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	57	17
2	131	13
3	416	13
4	1784	13

Stop Event

1×	node limit

Counts

1 → 75

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 x (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 x (-.f64 (*.f64 z (neg.f64 x)) (*.f64 x (*.f64 z -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 z (neg.f64 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 x (*.f64 x z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 x (*.f64 x z)) (-.f64 (*.f64 x (*.f64 z -2)) (*.f64 x (*.f64 z -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (*.f64 x z) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x z) (-.f64 (*.f64 z (+.f64 x x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x x) (+.f64 x (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 z -2)) (*.f64 x (-.f64 -1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 1/2) (+.f64 (*.f64 x z) (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 1/2) (-.f64 (-.f64 (*.f64 x -1/2) (*.f64 x z)) (*.f64 x (*.f64 z -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 1/2) (-.f64 (-.f64 (*.f64 x -1/2) x) (*.f64 x (-.f64 -1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 x (*.f64 x z)) 2) (/.f64 (-.f64 x (*.f64 x z)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 z -1/2)) (/.f64 (*.f64 x (+.f64 -2 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 z -1/2)) (+.f64 (/.f64 (*.f64 x z) 2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (-.f64 -1 z)) (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 3 (*.f64 x (*.f64 z -1/2))) (+.f64 (*.f64 x (-.f64 -1 z)) (/.f64 (*.f64 x z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (*.f64 x z)) (*.f64 z (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x z) 2) (-.f64 (-.f64 (*.f64 x (*.f64 z -1/2)) x) (*.f64 x (*.f64 z -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (*.f64 x 1/2)) (-.f64 (*.f64 x -1/2) (*.f64 x (-.f64 -1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 x 1/2) (*.f64 x z)) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (*.f64 x (*.f64 z -1/2))) (/.f64 (*.f64 x z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (/.f64 (*.f64 x z) 2)) (-.f64 (*.f64 x (*.f64 z -1/2)) (*.f64 x (*.f64 z -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 z (neg.f64 x)) (-.f64 (*.f64 x -1/2) (*.f64 x z))) (+.f64 (*.f64 x z) (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 z (neg.f64 x)) (-.f64 (*.f64 x (*.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 x (-.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (+.f64 z -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (-.f64 (+.f64 z z) (+.f64 z 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (*.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (*.f64 x z) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x z) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 z -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (+.f64 1/2 (*.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (-.f64 (*.f64 z -1/2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (-.f64 1/2 (*.f64 z 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -2) (+.f64 -1/2 (*.f64 z 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -2) (-.f64 (*.f64 z 1/2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 x (*.f64 x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (*.f64 z (*.f64 x -4)) (*.f64 -2 (+.f64 x (*.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 (-.f64 x (*.f64 x z)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -1/2) (-.f64 (+.f64 z z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (+.f64 1/4 (/.f64 z -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -4) (+.f64 (/.f64 z 4) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 x (*.f64 x z)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 x (*.f64 x z)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 x (*.f64 x z)) -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 z) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 x (*.f64 x z)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/2 (*.f64 z -1/2)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1/2 (*.f64 z 1/2)) (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/4 (/.f64 z -4)) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 z 4) -1/4) (*.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (+.f64 z z) 2) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (-.f64 x (*.f64 x z)) 4)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x x) 4) (/.f64 (+.f64 z -1) -8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 x -4)) (/.f64 (+.f64 z -1) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x -4) (-.f64 1 z)) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x (*.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x z) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x (*.f64 x z)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x (*.f64 x z)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x (*.f64 x z)) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 x (*.f64 x z)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x -4) (-.f64 1 z)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 z (*.f64 x -4)) (*.f64 -2 (+.f64 x (*.f64 x z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 x x) 4) (*.f64 x (*.f64 2 (*.f64 z 4)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 2 (*.f64 z (*.f64 x -4))) (*.f64 2 (*.f64 x -4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 z (*.f64 x 4)) (*.f64 (+.f64 x x) (+.f64 z 1))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 2 (*.f64 z (*.f64 x -4))) (+.f64 (*.f64 x -4) (*.f64 z (*.f64 x -4)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 -2 (+.f64 x (*.f64 x z))) (*.f64 x -4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 x x) (+.f64 z 1)) (*.f64 x 4)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (*.f64 x -4) (*.f64 z (*.f64 x -4))) (*.f64 2 (*.f64 x -4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (*.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 x z) x))))))

simplify302.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

964×	`rational_best-simplify-55`
960×	`rational_best-simplify-63`
924×	`rational_best-simplify-56`
902×	`rational_best-simplify-1`
834×	`rational_best-simplify-49`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	192	2019
1	468	1847
2	1009	1523
3	3396	1517

Stop Event

1×	node limit

Counts

99 → 93

Calls

Call 1

Inputs
(.f64 (+.f64 (.f64 -1 z) 1) x)
(.f64 (+.f64 (.f64 -1 z) 1) x)
(.f64 (+.f64 (.f64 -1 z) 1) x)
(.f64 (+.f64 (.f64 -1 z) 1) x)
(.f64 (+.f64 (.f64 -1 z) 1) x)
(.f64 (+.f64 (.f64 -1 z) 1) x)
(.f64 (+.f64 (.f64 -1 z) 1) x)
(.f64 (+.f64 (.f64 -1 z) 1) x)
(.f64 -1 (.f64 (-.f64 z 1) x))
(.f64 -1 (.f64 (-.f64 z 1) x))
(.f64 -1 (.f64 (-.f64 z 1) x))
(.f64 -1 (.f64 (-.f64 z 1) x))
x
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(.f64 -1 (.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(.f64 -1 (.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(-.f64 x (*.f64 x z))
(-.f64 x (-.f64 (.f64 z (neg.f64 x)) (.f64 x (*.f64 z -2))))
(-.f64 (*.f64 z (neg.f64 x)) (neg.f64 x))
(-.f64 (-.f64 x (*.f64 x z)) 0)
(-.f64 (-.f64 x (.f64 x z)) (-.f64 (.f64 x (.f64 z -2)) (.f64 x (*.f64 z -2))))
(-.f64 0 (-.f64 (*.f64 x z) x))
(-.f64 (.f64 x z) (-.f64 (.f64 z (+.f64 x x)) x))
(-.f64 (+.f64 x x) (+.f64 x (*.f64 x z)))
(-.f64 (.f64 x (.f64 z -2)) (*.f64 x (-.f64 -1 z)))
(-.f64 (.f64 x 1/2) (+.f64 (.f64 x z) (*.f64 x -1/2)))
(-.f64 (.f64 x 1/2) (-.f64 (-.f64 (.f64 x -1/2) (.f64 x z)) (.f64 x (*.f64 z -2))))
(-.f64 (.f64 x 1/2) (-.f64 (-.f64 (.f64 x -1/2) x) (*.f64 x (-.f64 -1 z))))
(-.f64 (/.f64 (-.f64 x (.f64 x z)) 2) (/.f64 (-.f64 x (.f64 x z)) -2))
(-.f64 (.f64 x (.f64 z -1/2)) (/.f64 (*.f64 x (+.f64 -2 z)) 2))
(-.f64 (.f64 x (.f64 z -1/2)) (+.f64 (/.f64 (*.f64 x z) 2) (neg.f64 x)))
(-.f64 (.f64 x (-.f64 -1 z)) (.f64 x -2))
(-.f64 (.f64 3 (.f64 x (.f64 z -1/2))) (+.f64 (.f64 x (-.f64 -1 z)) (/.f64 (*.f64 x z) 2)))
(-.f64 (+.f64 x (.f64 x z)) (.f64 z (+.f64 x x)))
(-.f64 (/.f64 (.f64 x z) 2) (-.f64 (-.f64 (.f64 x (.f64 z -1/2)) x) (.f64 x (*.f64 z -2))))
(-.f64 (+.f64 x (.f64 x 1/2)) (-.f64 (.f64 x -1/2) (*.f64 x (-.f64 -1 z))))
(-.f64 (-.f64 (.f64 x 1/2) (.f64 x z)) (*.f64 x -1/2))
(-.f64 (+.f64 x (.f64 x (.f64 z -1/2))) (/.f64 (*.f64 x z) 2))
(-.f64 (+.f64 x (/.f64 (.f64 x z) 2)) (-.f64 (.f64 x (.f64 z -1/2)) (.f64 x (*.f64 z -2))))
(-.f64 (-.f64 (.f64 z (neg.f64 x)) (-.f64 (.f64 x -1/2) (.f64 x z))) (+.f64 (.f64 x z) (*.f64 x -1/2)))
(-.f64 (-.f64 (.f64 z (neg.f64 x)) (-.f64 (.f64 x (.f64 z -1/2)) x)) (-.f64 (.f64 x (.f64 z -1/2)) (.f64 z (neg.f64 x))))
(*.f64 x (-.f64 1 z))
(*.f64 (neg.f64 x) (+.f64 z -1))
(*.f64 (neg.f64 x) (-.f64 (+.f64 z z) (+.f64 z 1)))
(.f64 (-.f64 x (.f64 x z)) 1)
(.f64 1 (-.f64 x (.f64 x z)))
(.f64 -1 (-.f64 (.f64 x z) x))
(.f64 (-.f64 (.f64 x z) x) -1)
(*.f64 (+.f64 z -1) (neg.f64 x))
(.f64 (+.f64 x x) (+.f64 1/2 (.f64 z -1/2)))
(.f64 (+.f64 x x) (-.f64 (.f64 z -1/2) -1/2))
(.f64 (+.f64 x x) (-.f64 1/2 (.f64 z 1/2)))
(.f64 (.f64 x -2) (+.f64 -1/2 (*.f64 z 1/2)))
(.f64 (.f64 x -2) (-.f64 (*.f64 z 1/2) 1/2))
(.f64 1/2 (.f64 (-.f64 x (*.f64 x z)) 2))
(.f64 1/2 (-.f64 (.f64 z (.f64 x -4)) (.f64 -2 (+.f64 x (*.f64 x z)))))
(.f64 -1/2 (.f64 (-.f64 x (*.f64 x z)) -2))
(.f64 (.f64 x -1/2) (-.f64 (+.f64 z z) 2))
(.f64 (.f64 x 4) (+.f64 1/4 (/.f64 z -4)))
(.f64 (.f64 x -4) (+.f64 (/.f64 z 4) -1/4))
(.f64 (.f64 (-.f64 x (*.f64 x z)) 4) 1/4)
(.f64 (.f64 (-.f64 x (*.f64 x z)) 2) 1/2)
(.f64 (.f64 (-.f64 x (*.f64 x z)) -2) -1/2)
(*.f64 (-.f64 1 z) x)
(.f64 1/4 (.f64 (-.f64 x (*.f64 x z)) 4))
(.f64 (+.f64 1/2 (.f64 z -1/2)) (+.f64 x x))
(.f64 (+.f64 -1/2 (.f64 z 1/2)) (*.f64 x -2))
(.f64 (+.f64 1/4 (/.f64 z -4)) (.f64 x 4))
(.f64 (+.f64 (/.f64 z 4) -1/4) (.f64 x -4))
(.f64 (-.f64 (+.f64 z z) 2) (.f64 x -1/2))
(.f64 (.f64 2 (.f64 (-.f64 x (.f64 x z)) 4)) 1/8)
(.f64 (.f64 (+.f64 x x) 4) (/.f64 (+.f64 z -1) -8))
(.f64 (.f64 2 (*.f64 x -4)) (/.f64 (+.f64 z -1) 8))
(.f64 (.f64 (*.f64 x -4) (-.f64 1 z)) -1/4)
(/.f64 (-.f64 x (*.f64 x z)) 1)
(/.f64 (-.f64 (*.f64 x z) x) -1)
(/.f64 (.f64 (-.f64 x (.f64 x z)) 4) 4)
(/.f64 (.f64 (-.f64 x (.f64 x z)) 2) 2)
(/.f64 (.f64 (-.f64 x (.f64 x z)) -2) -2)
(/.f64 (.f64 2 (.f64 (-.f64 x (*.f64 x z)) 4)) 8)
(/.f64 (.f64 (.f64 x -4) (-.f64 1 z)) -4)
(/.f64 (-.f64 (.f64 z (.f64 x -4)) (.f64 -2 (+.f64 x (.f64 x z)))) 2)
(/.f64 (-.f64 (.f64 (+.f64 x x) 4) (.f64 x (.f64 2 (.f64 z 4)))) 8)
(/.f64 (-.f64 (.f64 2 (.f64 z (.f64 x -4))) (.f64 2 (*.f64 x -4))) 8)
(/.f64 (-.f64 (.f64 z (.f64 x 4)) (*.f64 (+.f64 x x) (+.f64 z 1))) -2)
(/.f64 (-.f64 (.f64 2 (.f64 z (.f64 x -4))) (+.f64 (.f64 x -4) (.f64 z (.f64 x -4)))) 4)
(/.f64 (-.f64 (.f64 -2 (+.f64 x (.f64 x z))) (*.f64 x -4)) 2)
(/.f64 (-.f64 (.f64 (+.f64 x x) (+.f64 z 1)) (.f64 x 4)) -2)
(/.f64 (-.f64 (+.f64 (.f64 x -4) (.f64 z (.f64 x -4))) (.f64 2 (*.f64 x -4))) 4)
(pow.f64 (-.f64 x (*.f64 x z)) 1)
(neg.f64 (-.f64 (*.f64 x z) x))

Outputs
(.f64 (+.f64 (.f64 -1 z) 1) x)
(*.f64 (+.f64 (neg.f64 z) 1) x)
(-.f64 x (*.f64 z x))
(*.f64 x (-.f64 1 z))
(.f64 (+.f64 (.f64 -1 z) 1) x)
(*.f64 (+.f64 (neg.f64 z) 1) x)
(-.f64 x (*.f64 z x))
(*.f64 x (-.f64 1 z))
(.f64 (+.f64 (.f64 -1 z) 1) x)
(*.f64 (+.f64 (neg.f64 z) 1) x)
(-.f64 x (*.f64 z x))
(*.f64 x (-.f64 1 z))
(.f64 (+.f64 (.f64 -1 z) 1) x)
(*.f64 (+.f64 (neg.f64 z) 1) x)
(-.f64 x (*.f64 z x))
(*.f64 x (-.f64 1 z))
(.f64 (+.f64 (.f64 -1 z) 1) x)
(*.f64 (+.f64 (neg.f64 z) 1) x)
(-.f64 x (*.f64 z x))
(*.f64 x (-.f64 1 z))
(.f64 (+.f64 (.f64 -1 z) 1) x)
(*.f64 (+.f64 (neg.f64 z) 1) x)
(-.f64 x (*.f64 z x))
(*.f64 x (-.f64 1 z))
(.f64 (+.f64 (.f64 -1 z) 1) x)
(*.f64 (+.f64 (neg.f64 z) 1) x)
(-.f64 x (*.f64 z x))
(*.f64 x (-.f64 1 z))
(.f64 (+.f64 (.f64 -1 z) 1) x)
(*.f64 (+.f64 (neg.f64 z) 1) x)
(-.f64 x (*.f64 z x))
(*.f64 x (-.f64 1 z))
(.f64 -1 (.f64 (-.f64 z 1) x))
(.f64 (+.f64 (.f64 -1 z) 1) x)
(*.f64 (+.f64 (neg.f64 z) 1) x)
(-.f64 x (*.f64 z x))
(*.f64 x (-.f64 1 z))
(.f64 -1 (.f64 (-.f64 z 1) x))
(.f64 (+.f64 (.f64 -1 z) 1) x)
(*.f64 (+.f64 (neg.f64 z) 1) x)
(-.f64 x (*.f64 z x))
(*.f64 x (-.f64 1 z))
(.f64 -1 (.f64 (-.f64 z 1) x))
(.f64 (+.f64 (.f64 -1 z) 1) x)
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eval86.0ms (0.4%)

Compiler: Compiled 995 to 555 computations (44.2% saved)

prune177.0ms (0.8%)

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	0	2	2
Picked	1	0	1
Done	0	6	6
Total	93	9	102

Error

Counts

102 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.6b	(-.f64 x (*.f64 z x))
✓	22.6b	(+.f64 y x)
✓	30.6b	(*.f64 (-.f64 1 z) x)
✓	40.7b	(*.f64 (+.f64 y x) (neg.f64 z))
✓	49.7b	(*.f64 z (neg.f64 y))
✓	53.3b	(*.f64 z (neg.f64 x))
✓	32.7b	(*.f64 y (-.f64 1 z))
	45.4b	y
	40.5b	x

Compiler

Compiled 61 to 43 computations (29.5% saved)

localize33.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 5 computations (61.5% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite423.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

990×	`rational_best-simplify-108`
686×	`rational_best-simplify-1`
606×	`rational_best-simplify-83`
524×	`rational_best-simplify-47`
466×	`rational_best-simplify-57`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	39	13
2	81	13
3	229	13
4	923	13
5	6224	13

Stop Event

1×	node limit

Counts

1 → 100

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 x z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 x (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (neg.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x x) (neg.f64 (+.f64 x (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 2 z)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) (-.f64 (*.f64 x 1/2) (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (*.f64 x (-.f64 2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x (+.f64 z -1)) -2) (/.f64 (*.f64 x (+.f64 z -1)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 x z)) (*.f64 (*.f64 x z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (/.f64 (*.f64 x (+.f64 z -1)) -2)) (/.f64 (*.f64 x (+.f64 z -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 (*.f64 x z) -2)) (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (/.f64 (*.f64 x z) -2)) (/.f64 (*.f64 x z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (/.f64 (*.f64 x z) -2)) (-.f64 x (+.f64 x (*.f64 x (*.f64 z 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x z) -2) (+.f64 x (/.f64 (*.f64 x z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x z) -2) (-.f64 (/.f64 (*.f64 x z) -2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x 4) (+.f64 (/.f64 x 4) (-.f64 (*.f64 x 1/2) (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 x (*.f64 x z)) 4) (+.f64 (/.f64 (-.f64 x (*.f64 x z)) 4) (/.f64 (*.f64 x (+.f64 z -1)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 x (*.f64 x z)) 4) (/.f64 (*.f64 (-.f64 x (*.f64 x z)) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x 1/2) (*.f64 x z)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x 1/2) (*.f64 x z)) (/.f64 (neg.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (*.f64 x 1/2)) (neg.f64 (+.f64 (*.f64 x z) (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x 1/2) (+.f64 x (*.f64 x z))) (*.f64 3 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 x x) (*.f64 x (*.f64 z 1/2))) (neg.f64 (+.f64 x (*.f64 x (*.f64 z 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 x (*.f64 x z)) (*.f64 x (*.f64 z 1/2))) (/.f64 (*.f64 x (*.f64 z 3)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x (-.f64 2 z)) 4) (/.f64 (-.f64 (*.f64 x (*.f64 -2 (+.f64 z -1))) (*.f64 x z)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (*.f64 x z)) (-.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (neg.f64 x)) (-.f64 1 (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 2 (+.f64 z 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (pow.f64 (-.f64 2 (+.f64 z 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (*.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 z -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 x (+.f64 z -1)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 x (*.f64 x z)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 1 z) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 x 1/2) (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (pow.f64 (*.f64 (-.f64 x (*.f64 x z)) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 -2 (+.f64 z -1))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 1/2 (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 (-.f64 1 z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (-.f64 1/2 (*.f64 z 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (pow.f64 (*.f64 1/2 (-.f64 1 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (pow.f64 (/.f64 (-.f64 1 z) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (pow.f64 (-.f64 1/2 (*.f64 z 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 x (+.f64 z -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 x (*.f64 -2 (+.f64 z -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) (-.f64 (*.f64 z -2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (+.f64 z -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 z) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 z -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (/.f64 (-.f64 1 z) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (*.f64 1/4 (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (pow.f64 (/.f64 (-.f64 1 z) 4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 z) (*.f64 x 4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 (*.f64 x (+.f64 z -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 1 z) (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (-.f64 1 z) (*.f64 x 4))) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 x 4)) (/.f64 (-.f64 1 z) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 x 4)) (*.f64 1/8 (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 x 4)) (pow.f64 (/.f64 (-.f64 1 z) 8) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (-.f64 1 z)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 x (*.f64 x z)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 2 (*.f64 (-.f64 1 z) (*.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 z) 2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 z) 4) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 z) 8) (*.f64 2 (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/2 (*.f64 z 1/2)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 2 (+.f64 z 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 z -2) -2) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (*.f64 z -2) -2) 1) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x (*.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 z -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 -2 (+.f64 z -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 z) (*.f64 x 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (+.f64 z -1)) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 1 z) (*.f64 x 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 z -1) (*.f64 x 4)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 1 z) (*.f64 x 4))) (*.f64 2 (*.f64 (-.f64 1 z) (*.f64 x 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 z -1) (*.f64 x 4)) (*.f64 (+.f64 z -1) (*.f64 x 4))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 x (*.f64 z 4))) (*.f64 x 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 2 (*.f64 x 4)) (*.f64 z (*.f64 2 (*.f64 x 4)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 2 (*.f64 x 4)) (+.f64 (*.f64 x 4) (*.f64 x (*.f64 z 4)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 2 (+.f64 x (*.f64 x z))) (*.f64 x (*.f64 z 4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (*.f64 x 4) (*.f64 x (*.f64 z 4))) (*.f64 z (*.f64 2 (*.f64 x 4)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 z -1) (*.f64 2 (*.f64 x 4))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 z -1) (+.f64 (*.f64 2 (*.f64 x 4)) (*.f64 2 (*.f64 x 4)))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (+.f64 z z) 2) (*.f64 x -2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (+.f64 z z) 2) (-.f64 (*.f64 z (+.f64 x x)) (*.f64 2 (+.f64 x (*.f64 x z))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (+.f64 z z) 2) (+.f64 (*.f64 (*.f64 x z) -2) (*.f64 (*.f64 x (+.f64 z -1)) 2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 x 4)) (*.f64 2 (*.f64 x 4))) (-.f64 1 z)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 1 z) (*.f64 x 4))) (*.f64 2 (*.f64 (-.f64 1 z) (*.f64 x 4)))) (+.f64 (*.f64 2 (*.f64 (-.f64 1 z) (*.f64 x 4))) (*.f64 2 (*.f64 (-.f64 1 z) (*.f64 x 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (*.f64 2 (*.f64 x 4)) (*.f64 z (*.f64 2 (*.f64 x 4)))) (-.f64 (*.f64 2 (*.f64 x 4)) (*.f64 z (*.f64 2 (*.f64 x 4))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (neg.f64 (*.f64 x (*.f64 z 4))) (*.f64 x 4)) (+.f64 (neg.f64 (*.f64 x (*.f64 z 4))) (*.f64 x 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (*.f64 2 (*.f64 x 4)) (+.f64 (*.f64 x 4) (*.f64 x (*.f64 z 4)))) (-.f64 (*.f64 2 (*.f64 x 4)) (+.f64 (*.f64 x 4) (*.f64 x (*.f64 z 4))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (*.f64 2 (+.f64 x (*.f64 x z))) (*.f64 x (*.f64 z 4))) (-.f64 (*.f64 2 (+.f64 x (*.f64 x z))) (*.f64 x (*.f64 z 4)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (+.f64 (*.f64 x 4) (*.f64 x (*.f64 z 4))) (*.f64 z (*.f64 2 (*.f64 x 4)))) (-.f64 (+.f64 (*.f64 x 4) (*.f64 x (*.f64 z 4))) (*.f64 z (*.f64 2 (*.f64 x 4))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (*.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (+.f64 z -1)))))))

simplify375.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1246×	`rational_best-simplify-51`
1218×	`rational_best-simplify-1`
1036×	`rational_best-simplify-49`
994×	`rational_best-simplify-57`
916×	`rational_best-simplify-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	240	2030
1	571	1964
2	1251	1946
3	3634	1920

Stop Event

1×	node limit

Counts

124 → 135

Calls

Call 1

Inputs
(*.f64 (-.f64 1 z) x)
(*.f64 (-.f64 1 z) x)
(*.f64 (-.f64 1 z) x)
(*.f64 (-.f64 1 z) x)
(*.f64 (-.f64 1 z) x)
(*.f64 (-.f64 1 z) x)
(*.f64 (-.f64 1 z) x)
(*.f64 (-.f64 1 z) x)
(.f64 (+.f64 (.f64 -1 z) 1) x)
(.f64 (+.f64 (.f64 -1 z) 1) x)
(.f64 (+.f64 (.f64 -1 z) 1) x)
(.f64 (+.f64 (.f64 -1 z) 1) x)
x
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(.f64 -1 (.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(.f64 -1 (.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 x (*.f64 x (neg.f64 z)))
(+.f64 (-.f64 x (*.f64 x z)) 0)
(+.f64 0 (-.f64 x (*.f64 x z)))
(+.f64 (*.f64 x (neg.f64 z)) x)
(+.f64 (+.f64 x x) (neg.f64 (+.f64 x (*.f64 x z))))
(+.f64 (*.f64 x (-.f64 2 z)) (neg.f64 x))
(+.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (*.f64 x z)))
(+.f64 (neg.f64 x) (*.f64 x (-.f64 2 z)))
(+.f64 (/.f64 (.f64 x (+.f64 z -1)) -2) (/.f64 (.f64 x (+.f64 z -1)) -2))
(+.f64 (+.f64 x (.f64 x z)) (.f64 (*.f64 x z) -2))
(+.f64 (.f64 3 (/.f64 (.f64 x (+.f64 z -1)) -2)) (/.f64 (*.f64 x (+.f64 z -1)) 2))
(+.f64 (+.f64 x (.f64 (.f64 x z) -2)) (*.f64 x z))
(+.f64 (+.f64 x (/.f64 (.f64 x z) -2)) (/.f64 (.f64 x z) -2))
(+.f64 (+.f64 x (/.f64 (.f64 x z) -2)) (-.f64 x (+.f64 x (.f64 x (*.f64 z 1/2)))))
(+.f64 (/.f64 (.f64 x z) -2) (+.f64 x (/.f64 (.f64 x z) -2)))
(+.f64 (/.f64 (.f64 x z) -2) (-.f64 (/.f64 (.f64 x z) -2) (neg.f64 x)))
(+.f64 (/.f64 x 4) (+.f64 (/.f64 x 4) (-.f64 (.f64 x 1/2) (.f64 x z))))
(+.f64 (/.f64 (-.f64 x (.f64 x z)) 4) (+.f64 (/.f64 (-.f64 x (.f64 x z)) 4) (/.f64 (*.f64 x (+.f64 z -1)) -2)))
(+.f64 (/.f64 (-.f64 x (.f64 x z)) 4) (/.f64 (.f64 (-.f64 x (*.f64 x z)) 3) 4))
(+.f64 (-.f64 (.f64 x 1/2) (.f64 x z)) (*.f64 x 1/2))
(+.f64 (-.f64 (.f64 x 1/2) (.f64 x z)) (/.f64 (neg.f64 x) -2))
(+.f64 (.f64 3 (.f64 x 1/2)) (neg.f64 (+.f64 (.f64 x z) (.f64 x 1/2))))
(+.f64 (-.f64 (.f64 x 1/2) (+.f64 x (.f64 x z))) (.f64 3 (.f64 x 1/2)))
(+.f64 (-.f64 (+.f64 x x) (.f64 x (.f64 z 1/2))) (neg.f64 (+.f64 x (.f64 x (.f64 z 1/2)))))
(+.f64 (-.f64 (+.f64 x (.f64 x z)) (.f64 x (.f64 z 1/2))) (/.f64 (.f64 x (*.f64 z 3)) -2))
(+.f64 (/.f64 (.f64 x (-.f64 2 z)) 4) (/.f64 (-.f64 (.f64 x (.f64 -2 (+.f64 z -1))) (.f64 x z)) 4))
(+.f64 (-.f64 -1 (*.f64 x z)) (-.f64 1 (neg.f64 x)))
(+.f64 (-.f64 -1 (neg.f64 x)) (-.f64 1 (*.f64 x z)))
(*.f64 x (-.f64 1 z))
(*.f64 x (-.f64 2 (+.f64 z 1)))
(*.f64 x (pow.f64 (-.f64 2 (+.f64 z 1)) 1))
(.f64 (-.f64 x (.f64 x z)) 1)
(.f64 1 (-.f64 x (.f64 x z)))
(.f64 (.f64 x (+.f64 z -1)) -1)
(.f64 2 (/.f64 (.f64 x (+.f64 z -1)) -2))
(.f64 2 (.f64 (-.f64 x (*.f64 x z)) 1/2))
(.f64 2 (.f64 (-.f64 1 z) (*.f64 x 1/2)))
(.f64 2 (.f64 (*.f64 x 1/2) (-.f64 1 z)))
(.f64 2 (pow.f64 (.f64 (-.f64 x (*.f64 x z)) 1/2) 1))
(.f64 (.f64 x (*.f64 -2 (+.f64 z -1))) 1/2)
(.f64 (+.f64 x x) (.f64 1/2 (-.f64 1 z)))
(*.f64 (+.f64 x x) (/.f64 (-.f64 1 z) 2))
(.f64 (+.f64 x x) (-.f64 1/2 (.f64 z 1/2)))
(.f64 (+.f64 x x) (pow.f64 (.f64 1/2 (-.f64 1 z)) 1))
(*.f64 (+.f64 x x) (pow.f64 (/.f64 (-.f64 1 z) 2) 1))
(.f64 (+.f64 x x) (pow.f64 (-.f64 1/2 (.f64 z 1/2)) 1))
(.f64 -1 (.f64 x (+.f64 z -1)))
(.f64 1/2 (.f64 x (*.f64 -2 (+.f64 z -1))))
(.f64 (.f64 x 1/2) (-.f64 (*.f64 z -2) -2))
(*.f64 (neg.f64 x) (+.f64 z -1))
(*.f64 (-.f64 1 z) x)
(*.f64 (+.f64 z -1) (neg.f64 x))
(.f64 (.f64 x 4) (/.f64 (-.f64 1 z) 4))
(.f64 (.f64 x 4) (*.f64 1/4 (-.f64 1 z)))
(.f64 (.f64 x 4) (pow.f64 (/.f64 (-.f64 1 z) 4) 1))
(.f64 (.f64 (-.f64 1 z) (*.f64 x 4)) 1/4)
(.f64 -2 (/.f64 (.f64 x (+.f64 z -1)) 2))
(.f64 1/4 (.f64 (-.f64 1 z) (*.f64 x 4)))
(.f64 (.f64 2 (.f64 (-.f64 1 z) (.f64 x 4))) 1/8)
(.f64 (.f64 2 (*.f64 x 4)) (/.f64 (-.f64 1 z) 8))
(.f64 (.f64 2 (.f64 x 4)) (.f64 1/8 (-.f64 1 z)))
(.f64 (.f64 2 (*.f64 x 4)) (pow.f64 (/.f64 (-.f64 1 z) 8) 1))
(.f64 (.f64 1/2 (-.f64 1 z)) (+.f64 x x))
(.f64 (.f64 (-.f64 x (*.f64 x z)) 1/2) 2)
(.f64 1/8 (.f64 2 (.f64 (-.f64 1 z) (.f64 x 4))))
(*.f64 (/.f64 (-.f64 1 z) 2) (+.f64 x x))
(.f64 (/.f64 (-.f64 1 z) 4) (.f64 x 4))
(.f64 (/.f64 (-.f64 1 z) 8) (.f64 2 (*.f64 x 4)))
(.f64 (-.f64 1/2 (.f64 z 1/2)) (+.f64 x x))
(*.f64 (-.f64 2 (+.f64 z 1)) x)
(.f64 (-.f64 (.f64 z -2) -2) (*.f64 x 1/2))
(.f64 (pow.f64 (-.f64 (.f64 z -2) -2) 1) (*.f64 x 1/2))
(/.f64 (-.f64 x (*.f64 x z)) 1)
(/.f64 (*.f64 x (+.f64 z -1)) -1)
(/.f64 (.f64 x (.f64 -2 (+.f64 z -1))) 2)
(/.f64 (.f64 (-.f64 1 z) (.f64 x 4)) 4)
(/.f64 (.f64 (.f64 x (+.f64 z -1)) 2) -2)
(/.f64 (.f64 2 (.f64 (-.f64 1 z) (*.f64 x 4))) 8)
(/.f64 (.f64 (+.f64 z -1) (.f64 x 4)) -4)
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 1 z) (.f64 x 4))) (.f64 2 (.f64 (-.f64 1 z) (.f64 x 4)))) 16)
(/.f64 (+.f64 (.f64 (+.f64 z -1) (.f64 x 4)) (.f64 (+.f64 z -1) (.f64 x 4))) -8)
(/.f64 (+.f64 (neg.f64 (.f64 x (.f64 z 4))) (*.f64 x 4)) 4)
(/.f64 (-.f64 (.f64 2 (.f64 x 4)) (.f64 z (.f64 2 (*.f64 x 4)))) 8)
(/.f64 (-.f64 (.f64 2 (.f64 x 4)) (+.f64 (.f64 x 4) (.f64 x (*.f64 z 4)))) 4)
(/.f64 (-.f64 (.f64 2 (+.f64 x (.f64 x z))) (.f64 x (.f64 z 4))) 2)
(/.f64 (-.f64 (+.f64 (.f64 x 4) (.f64 x (.f64 z 4))) (.f64 z (.f64 2 (.f64 x 4)))) 4)
(/.f64 (.f64 (+.f64 z -1) (.f64 2 (*.f64 x 4))) -8)
(/.f64 (.f64 (+.f64 z -1) (+.f64 (.f64 2 (.f64 x 4)) (.f64 2 (*.f64 x 4)))) -16)
(/.f64 (.f64 (-.f64 (+.f64 z z) 2) (.f64 x -2)) 4)
(/.f64 (.f64 (-.f64 (+.f64 z z) 2) (-.f64 (.f64 z (+.f64 x x)) (.f64 2 (+.f64 x (.f64 x z))))) 4)
(/.f64 (.f64 (-.f64 (+.f64 z z) 2) (+.f64 (.f64 (.f64 x z) -2) (.f64 (*.f64 x (+.f64 z -1)) 2))) 4)
(/.f64 (.f64 (+.f64 (.f64 2 (.f64 x 4)) (.f64 2 (*.f64 x 4))) (-.f64 1 z)) 16)
(/.f64 (+.f64 (+.f64 (.f64 2 (.f64 (-.f64 1 z) (.f64 x 4))) (.f64 2 (.f64 (-.f64 1 z) (.f64 x 4)))) (+.f64 (.f64 2 (.f64 (-.f64 1 z) (.f64 x 4))) (.f64 2 (.f64 (-.f64 1 z) (.f64 x 4))))) 32)
(/.f64 (+.f64 (-.f64 (.f64 2 (.f64 x 4)) (.f64 z (.f64 2 (.f64 x 4)))) (-.f64 (.f64 2 (.f64 x 4)) (.f64 z (.f64 2 (.f64 x 4))))) 16)
(/.f64 (+.f64 (+.f64 (neg.f64 (.f64 x (.f64 z 4))) (.f64 x 4)) (+.f64 (neg.f64 (.f64 x (.f64 z 4))) (.f64 x 4))) 8)
(/.f64 (+.f64 (-.f64 (.f64 2 (.f64 x 4)) (+.f64 (.f64 x 4) (.f64 x (.f64 z 4)))) (-.f64 (.f64 2 (.f64 x 4)) (+.f64 (.f64 x 4) (.f64 x (.f64 z 4))))) 8)
(/.f64 (+.f64 (-.f64 (.f64 2 (+.f64 x (.f64 x z))) (.f64 x (.f64 z 4))) (-.f64 (.f64 2 (+.f64 x (.f64 x z))) (.f64 x (.f64 z 4)))) 4)
(/.f64 (+.f64 (-.f64 (+.f64 (.f64 x 4) (.f64 x (.f64 z 4))) (.f64 z (.f64 2 (.f64 x 4)))) (-.f64 (+.f64 (.f64 x 4) (.f64 x (.f64 z 4))) (.f64 z (.f64 2 (.f64 x 4))))) 8)
(pow.f64 (-.f64 x (*.f64 x z)) 1)
(neg.f64 (*.f64 x (+.f64 z -1)))

Outputs
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 (+.f64 (.f64 -1 z) 1) x)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 (+.f64 (.f64 -1 z) 1) x)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 (+.f64 (.f64 -1 z) 1) x)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 (+.f64 (.f64 -1 z) 1) x)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
x
(+.f64 (.f64 -1 (.f64 z x)) x)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 -1 (.f64 z x))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 -1 (.f64 z x))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(+.f64 x (*.f64 x (neg.f64 z)))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (-.f64 x (*.f64 x z)) 0)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(+.f64 0 (-.f64 x (*.f64 x z)))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (*.f64 x (neg.f64 z)) x)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (+.f64 x x) (neg.f64 (+.f64 x (*.f64 x z))))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (*.f64 x (-.f64 2 z)) (neg.f64 x))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (*.f64 x z)))
(+.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (*.f64 z x)))
(+.f64 (.f64 x 1/2) (.f64 x (-.f64 1/2 z)))
(*.f64 x (-.f64 1/2 (-.f64 z 1/2)))
(+.f64 (neg.f64 x) (*.f64 x (-.f64 2 z)))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (/.f64 (.f64 x (+.f64 z -1)) -2) (/.f64 (.f64 x (+.f64 z -1)) -2))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (+.f64 x (.f64 x z)) (.f64 (*.f64 x z) -2))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (.f64 3 (/.f64 (.f64 x (+.f64 z -1)) -2)) (/.f64 (*.f64 x (+.f64 z -1)) 2))
(+.f64 (.f64 (.f64 x (+.f64 z -1)) -3/2) (/.f64 (*.f64 x (+.f64 z -1)) 2))
(+.f64 (.f64 (+.f64 z -1) (.f64 x -3/2)) (/.f64 (*.f64 x (+.f64 z -1)) 2))
(+.f64 (.f64 (+.f64 z -1) (.f64 x -3/2)) (/.f64 (-.f64 x (*.f64 z x)) -2))
(+.f64 (+.f64 x (.f64 (.f64 x z) -2)) (*.f64 x z))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (+.f64 x (/.f64 (.f64 x z) -2)) (/.f64 (.f64 x z) -2))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (+.f64 x (/.f64 (.f64 x z) -2)) (-.f64 x (+.f64 x (.f64 x (*.f64 z 1/2)))))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (/.f64 (.f64 x z) -2) (+.f64 x (/.f64 (.f64 x z) -2)))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (/.f64 (.f64 x z) -2) (-.f64 (/.f64 (.f64 x z) -2) (neg.f64 x)))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (/.f64 x 4) (+.f64 (/.f64 x 4) (-.f64 (.f64 x 1/2) (.f64 x z))))
(+.f64 (-.f64 (.f64 x 1/2) (.f64 z x)) (+.f64 (/.f64 x 4) (/.f64 x 4)))
(+.f64 (*.f64 x (-.f64 1/2 z)) (/.f64 (+.f64 x x) 4))
(+.f64 (*.f64 x (-.f64 1/2 z)) (/.f64 x 2))
(+.f64 (/.f64 (-.f64 x (.f64 x z)) 4) (+.f64 (/.f64 (-.f64 x (.f64 x z)) 4) (/.f64 (*.f64 x (+.f64 z -1)) -2)))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (/.f64 (-.f64 x (.f64 x z)) 4) (/.f64 (.f64 (-.f64 x (*.f64 x z)) 3) 4))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (-.f64 (.f64 x 1/2) (.f64 x z)) (*.f64 x 1/2))
(+.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (*.f64 z x)))
(+.f64 (.f64 x 1/2) (.f64 x (-.f64 1/2 z)))
(*.f64 x (-.f64 1/2 (-.f64 z 1/2)))
(+.f64 (-.f64 (.f64 x 1/2) (.f64 x z)) (/.f64 (neg.f64 x) -2))
(+.f64 (-.f64 (.f64 x 1/2) (.f64 z x)) (+.f64 (/.f64 x 4) (/.f64 x 4)))
(+.f64 (*.f64 x (-.f64 1/2 z)) (/.f64 (+.f64 x x) 4))
(+.f64 (*.f64 x (-.f64 1/2 z)) (/.f64 x 2))
(+.f64 (.f64 3 (.f64 x 1/2)) (neg.f64 (+.f64 (.f64 x z) (.f64 x 1/2))))
(+.f64 (.f64 1/2 (.f64 x 3)) (neg.f64 (+.f64 (.f64 z x) (.f64 x 1/2))))
(+.f64 (.f64 x 3/2) (neg.f64 (.f64 x (+.f64 z 1/2))))
(+.f64 (.f64 x 3/2) (.f64 (+.f64 z 1/2) (neg.f64 x)))
(-.f64 (.f64 x 3/2) (.f64 x (+.f64 z 1/2)))
(+.f64 (-.f64 (.f64 x 1/2) (+.f64 x (.f64 x z))) (.f64 3 (.f64 x 1/2)))
(+.f64 (.f64 1/2 (.f64 x 3)) (neg.f64 (+.f64 (.f64 z x) (.f64 x 1/2))))
(+.f64 (.f64 x 3/2) (neg.f64 (.f64 x (+.f64 z 1/2))))
(+.f64 (.f64 x 3/2) (.f64 (+.f64 z 1/2) (neg.f64 x)))
(-.f64 (.f64 x 3/2) (.f64 x (+.f64 z 1/2)))
(+.f64 (-.f64 (+.f64 x x) (.f64 x (.f64 z 1/2))) (neg.f64 (+.f64 x (.f64 x (.f64 z 1/2)))))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (-.f64 (+.f64 x (.f64 x z)) (.f64 x (.f64 z 1/2))) (/.f64 (.f64 x (*.f64 z 3)) -2))
(+.f64 (-.f64 (+.f64 x (.f64 z x)) (.f64 x (.f64 z 1/2))) (/.f64 (.f64 x (*.f64 z 3)) -2))
(+.f64 (-.f64 (+.f64 x (.f64 z x)) (.f64 z (.f64 x 1/2))) (/.f64 (.f64 z (*.f64 x 3)) -2))
(+.f64 (+.f64 (.f64 z (-.f64 x (.f64 x 1/2))) x) (/.f64 (.f64 z (.f64 x 3)) -2))
(+.f64 (+.f64 x (.f64 z (.f64 x 1/2))) (/.f64 (.f64 z (.f64 x 3)) -2))
(+.f64 (/.f64 (.f64 x (-.f64 2 z)) 4) (/.f64 (-.f64 (.f64 x (.f64 -2 (+.f64 z -1))) (.f64 x z)) 4))
(/.f64 (+.f64 (.f64 x (-.f64 2 z)) (-.f64 (.f64 x (.f64 (+.f64 z -1) -2)) (.f64 z x))) 4)
(/.f64 (+.f64 (.f64 x (-.f64 2 z)) (.f64 x (-.f64 (*.f64 (+.f64 z -1) -2) z))) 4)
(+.f64 (-.f64 -1 (*.f64 x z)) (-.f64 1 (neg.f64 x)))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (-.f64 -1 (neg.f64 x)) (-.f64 1 (*.f64 x z)))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(*.f64 x (-.f64 1 z))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(*.f64 x (-.f64 2 (+.f64 z 1)))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(*.f64 x (pow.f64 (-.f64 2 (+.f64 z 1)) 1))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 (-.f64 x (.f64 x z)) 1)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 1 (-.f64 x (.f64 x z)))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 (.f64 x (+.f64 z -1)) -1)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 2 (/.f64 (.f64 x (+.f64 z -1)) -2))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 2 (.f64 (-.f64 x (*.f64 x z)) 1/2))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 2 (.f64 (-.f64 1 z) (*.f64 x 1/2)))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 2 (.f64 (*.f64 x 1/2) (-.f64 1 z)))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 2 (pow.f64 (.f64 (-.f64 x (*.f64 x z)) 1/2) 1))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 (.f64 x (*.f64 -2 (+.f64 z -1))) 1/2)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 (+.f64 x x) (.f64 1/2 (-.f64 1 z)))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(*.f64 (+.f64 x x) (/.f64 (-.f64 1 z) 2))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 (+.f64 x x) (-.f64 1/2 (.f64 z 1/2)))
(.f64 (+.f64 x x) (pow.f64 (.f64 1/2 (-.f64 1 z)) 1))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(*.f64 (+.f64 x x) (pow.f64 (/.f64 (-.f64 1 z) 2) 1))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 (+.f64 x x) (pow.f64 (-.f64 1/2 (.f64 z 1/2)) 1))
(.f64 (+.f64 x x) (-.f64 1/2 (.f64 z 1/2)))
(.f64 -1 (.f64 x (+.f64 z -1)))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 1/2 (.f64 x (*.f64 -2 (+.f64 z -1))))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 (.f64 x 1/2) (-.f64 (*.f64 z -2) -2))
(.f64 1/2 (.f64 x (-.f64 (*.f64 z -2) -2)))
(.f64 x (.f64 1/2 (-.f64 (*.f64 z -2) -2)))
(*.f64 (neg.f64 x) (+.f64 z -1))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(*.f64 (+.f64 z -1) (neg.f64 x))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 (.f64 x 4) (/.f64 (-.f64 1 z) 4))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 (.f64 x 4) (*.f64 1/4 (-.f64 1 z)))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 (.f64 x 4) (pow.f64 (/.f64 (-.f64 1 z) 4) 1))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 (.f64 (-.f64 1 z) (*.f64 x 4)) 1/4)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 -2 (/.f64 (.f64 x (+.f64 z -1)) 2))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 1/4 (.f64 (-.f64 1 z) (*.f64 x 4)))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 (.f64 2 (.f64 (-.f64 1 z) (.f64 x 4))) 1/8)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 (.f64 2 (*.f64 x 4)) (/.f64 (-.f64 1 z) 8))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 (.f64 2 (.f64 x 4)) (.f64 1/8 (-.f64 1 z)))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 (.f64 2 (*.f64 x 4)) (pow.f64 (/.f64 (-.f64 1 z) 8) 1))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 (.f64 1/2 (-.f64 1 z)) (+.f64 x x))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 (.f64 (-.f64 x (*.f64 x z)) 1/2) 2)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 1/8 (.f64 2 (.f64 (-.f64 1 z) (.f64 x 4))))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(*.f64 (/.f64 (-.f64 1 z) 2) (+.f64 x x))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 (/.f64 (-.f64 1 z) 4) (.f64 x 4))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 (/.f64 (-.f64 1 z) 8) (.f64 2 (*.f64 x 4)))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 (-.f64 1/2 (.f64 z 1/2)) (+.f64 x x))
(.f64 (+.f64 x x) (-.f64 1/2 (.f64 z 1/2)))
(*.f64 (-.f64 2 (+.f64 z 1)) x)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 (-.f64 (.f64 z -2) -2) (*.f64 x 1/2))
(.f64 (.f64 x 1/2) (-.f64 (*.f64 z -2) -2))
(.f64 1/2 (.f64 x (-.f64 (*.f64 z -2) -2)))
(.f64 x (.f64 1/2 (-.f64 (*.f64 z -2) -2)))
(.f64 (pow.f64 (-.f64 (.f64 z -2) -2) 1) (*.f64 x 1/2))
(.f64 (.f64 x 1/2) (-.f64 (*.f64 z -2) -2))
(.f64 1/2 (.f64 x (-.f64 (*.f64 z -2) -2)))
(.f64 x (.f64 1/2 (-.f64 (*.f64 z -2) -2)))
(/.f64 (-.f64 x (*.f64 x z)) 1)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(/.f64 (*.f64 x (+.f64 z -1)) -1)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(/.f64 (.f64 x (.f64 -2 (+.f64 z -1))) 2)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(/.f64 (.f64 (-.f64 1 z) (.f64 x 4)) 4)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(/.f64 (.f64 (.f64 x (+.f64 z -1)) 2) -2)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(/.f64 (.f64 2 (.f64 (-.f64 1 z) (*.f64 x 4))) 8)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(/.f64 (.f64 (+.f64 z -1) (.f64 x 4)) -4)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 1 z) (.f64 x 4))) (.f64 2 (.f64 (-.f64 1 z) (.f64 x 4)))) 16)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(/.f64 (+.f64 (.f64 (+.f64 z -1) (.f64 x 4)) (.f64 (+.f64 z -1) (.f64 x 4))) -8)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(/.f64 (+.f64 (neg.f64 (.f64 x (.f64 z 4))) (*.f64 x 4)) 4)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(/.f64 (-.f64 (.f64 2 (.f64 x 4)) (.f64 z (.f64 2 (*.f64 x 4)))) 8)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(/.f64 (-.f64 (.f64 2 (.f64 x 4)) (+.f64 (.f64 x 4) (.f64 x (*.f64 z 4)))) 4)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(/.f64 (-.f64 (.f64 2 (+.f64 x (.f64 x z))) (.f64 x (.f64 z 4))) 2)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(/.f64 (-.f64 (+.f64 (.f64 x 4) (.f64 x (.f64 z 4))) (.f64 z (.f64 2 (.f64 x 4)))) 4)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(/.f64 (.f64 (+.f64 z -1) (.f64 2 (*.f64 x 4))) -8)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(/.f64 (.f64 (+.f64 z -1) (+.f64 (.f64 2 (.f64 x 4)) (.f64 2 (*.f64 x 4)))) -16)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(/.f64 (.f64 (-.f64 (+.f64 z z) 2) (.f64 x -2)) 4)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(/.f64 (.f64 (-.f64 (+.f64 z z) 2) (-.f64 (.f64 z (+.f64 x x)) (.f64 2 (+.f64 x (.f64 x z))))) 4)
(/.f64 (.f64 (-.f64 (+.f64 z z) 2) (-.f64 (.f64 z (+.f64 x x)) (.f64 (+.f64 x (.f64 z x)) 2))) 4)
(/.f64 (.f64 (+.f64 z (+.f64 z -2)) (-.f64 (.f64 z (+.f64 x x)) (.f64 (+.f64 x (.f64 z x)) 2))) 4)
(/.f64 (.f64 (+.f64 z (+.f64 z -2)) (-.f64 (.f64 z (+.f64 x x)) (*.f64 (+.f64 x x) (+.f64 1 z)))) 4)
(/.f64 (.f64 (-.f64 (+.f64 z z) 2) (+.f64 (.f64 (.f64 x z) -2) (.f64 (*.f64 x (+.f64 z -1)) 2))) 4)
(/.f64 (.f64 (-.f64 (+.f64 z z) 2) (+.f64 (.f64 (.f64 z x) -2) (.f64 2 (*.f64 x (+.f64 z -1))))) 4)
(/.f64 (.f64 (-.f64 (+.f64 z z) 2) (+.f64 (.f64 z (.f64 x -2)) (.f64 x (*.f64 2 (+.f64 z -1))))) 4)
(/.f64 (.f64 (+.f64 z (+.f64 z -2)) (+.f64 (.f64 z (.f64 x -2)) (.f64 x (*.f64 2 (+.f64 z -1))))) 4)
(/.f64 (.f64 (+.f64 z (+.f64 z -2)) (+.f64 (.f64 z (.f64 x -2)) (.f64 (+.f64 x x) (+.f64 z -1)))) 4)
(/.f64 (.f64 (+.f64 (.f64 2 (.f64 x 4)) (.f64 2 (*.f64 x 4))) (-.f64 1 z)) 16)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(/.f64 (+.f64 (+.f64 (.f64 2 (.f64 (-.f64 1 z) (.f64 x 4))) (.f64 2 (.f64 (-.f64 1 z) (.f64 x 4)))) (+.f64 (.f64 2 (.f64 (-.f64 1 z) (.f64 x 4))) (.f64 2 (.f64 (-.f64 1 z) (.f64 x 4))))) 32)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(/.f64 (+.f64 (-.f64 (.f64 2 (.f64 x 4)) (.f64 z (.f64 2 (.f64 x 4)))) (-.f64 (.f64 2 (.f64 x 4)) (.f64 z (.f64 2 (.f64 x 4))))) 16)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(/.f64 (+.f64 (+.f64 (neg.f64 (.f64 x (.f64 z 4))) (.f64 x 4)) (+.f64 (neg.f64 (.f64 x (.f64 z 4))) (.f64 x 4))) 8)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(/.f64 (+.f64 (-.f64 (.f64 2 (.f64 x 4)) (+.f64 (.f64 x 4) (.f64 x (.f64 z 4)))) (-.f64 (.f64 2 (.f64 x 4)) (+.f64 (.f64 x 4) (.f64 x (.f64 z 4))))) 8)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(/.f64 (+.f64 (-.f64 (.f64 2 (+.f64 x (.f64 x z))) (.f64 x (.f64 z 4))) (-.f64 (.f64 2 (+.f64 x (.f64 x z))) (.f64 x (.f64 z 4)))) 4)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(/.f64 (+.f64 (-.f64 (+.f64 (.f64 x 4) (.f64 x (.f64 z 4))) (.f64 z (.f64 2 (.f64 x 4)))) (-.f64 (+.f64 (.f64 x 4) (.f64 x (.f64 z 4))) (.f64 z (.f64 2 (.f64 x 4))))) 8)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(pow.f64 (-.f64 x (*.f64 x z)) 1)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(neg.f64 (*.f64 x (+.f64 z -1)))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))

eval190.0ms (0.9%)

Compiler: Compiled 1692 to 1077 computations (36.3% saved)

prune129.0ms (0.6%)

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	2	2
Picked	0	1	1
Done	0	6	6
Total	135	9	144

Error

Counts

144 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	30.6b	(-.f64 x (*.f64 z x))
✓	22.6b	(+.f64 y x)
✓	30.6b	(*.f64 (-.f64 1 z) x)
✓	40.7b	(*.f64 (+.f64 y x) (neg.f64 z))
✓	49.7b	(*.f64 z (neg.f64 y))
✓	53.3b	(*.f64 z (neg.f64 x))
✓	32.7b	(*.f64 y (-.f64 1 z))
	45.4b	y
	40.5b	x

Compiler

Compiled 61 to 43 computations (29.5% saved)

regimes189.0ms (0.9%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

6 calls:

37.0ms	y
35.0ms	(-.f64 1 z)
33.0ms	z
29.0ms	(*.f64 (+.f64 x y) (-.f64 1 z))
28.0ms	x

Results

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

Compiler

Compiled 94 to 50 computations (46.8% saved)

regimes407.0ms (1.8%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

4 calls:

151.0ms	x
100.0ms	z
96.0ms	y
30.0ms	(-.f64 1 z)

Results

Error	Segments	Branch
8.9b	3	`x`
10.1b	2	`y`
1.9b	3	`z`
1.9b	3	`(-.f64 1 z)`

Compiler

Compiled 61 to 33 computations (45.9% saved)

bsearch119.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
60.0ms	0.0032556384867446567	12388811.226671135
59.0ms	-2707860.376836492	-0.00030222558728885913

Results

113.0ms

304×

body

256

valid

Compiler

Compiled 339 to 240 computations (29.2% saved)

regimes976.0ms (4.4%)

Counts

8 → 5

Calls

Call 1

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

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

Calls

4 calls:

416.0ms	z
280.0ms	(-.f64 1 z)
168.0ms	x
108.0ms	y

Results

Error	Segments	Branch
8.9b	3	`x`
10.1b	2	`y`
7.6b	5	`z`
7.6b	5	`(-.f64 1 z)`

Compiler

Compiled 49 to 30 computations (38.8% saved)

bsearch320.0ms (1.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
159.0ms	4.5885796506077536e+164	1.7264885951601724e+167
26.0ms	1.6375793581454905e-5	0.0032556384867446567
93.0ms	-3.8430714616452904e-14	-1.1621537786365825e-20
41.0ms	-3.955028396091578e+35	-1.591025765312287e+29

Results

195.0ms	528×	body	256	valid
114.0ms	83×	body	256	infinite

Compiler

Compiled 561 to 407 computations (27.5% saved)

regimes696.0ms (3.1%)

Counts

7 → 5

Calls

Call 1

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

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

Calls

4 calls:

292.0ms	z
167.0ms	x
157.0ms	(-.f64 1 z)
62.0ms	y

Results

Error	Segments	Branch
8.9b	3	`x`
10.1b	2	`y`
7.6b	5	`z`
7.6b	5	`(-.f64 1 z)`

Compiler

Compiled 44 to 28 computations (36.4% saved)

bsearch376.0ms (1.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
175.0ms	4.5885796506077536e+164	1.7264885951601724e+167
39.0ms	1.6375793581454905e-5	0.0032556384867446567
72.0ms	-3.8430714616452904e-14	-1.1621537786365825e-20
90.0ms	-3.955028396091578e+35	-1.591025765312287e+29

Results

278.0ms	528×	body	256	valid
14.0ms	96×	body	256	infinite

Compiler

Compiled 561 to 425 computations (24.2% saved)

regimes752.0ms (3.4%)

Counts

6 → 4

Calls

Call 1

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

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

Calls

4 calls:

336.0ms	z
262.0ms	x
80.0ms	(-.f64 1 z)
71.0ms	y

Results

Error	Segments	Branch
12.9b	4	`x`
15.0b	2	`y`
8.9b	4	`z`
8.9b	4	`(-.f64 1 z)`

Compiler

Compiled 39 to 25 computations (35.9% saved)

bsearch136.0ms (0.6%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
68.0ms	4.5885796506077536e+164	1.7264885951601724e+167
46.0ms	1.6375793581454905e-5	0.0032556384867446567
21.0ms	-4701574.15311619	-2707860.376836492

Results

95.0ms	304×	body	256	valid
34.0ms	93×	body	256	infinite

Compiler

Compiled 328 to 248 computations (24.4% saved)

regimes597.0ms (2.7%)

Counts

5 → 4

Calls

Call 1

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

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

Calls

3 calls:

337.0ms	z
130.0ms	y
126.0ms	x

Results

Error	Segments	Branch
19.6b	5	`x`
20.3b	5	`y`
9.4b	4	`z`

Compiler

Compiled 28 to 17 computations (39.3% saved)

bsearch201.0ms (0.9%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
115.0ms	4.5885796506077536e+164	1.7264885951601724e+167
63.0ms	0.0032556384867446567	12388811.226671135
22.0ms	-4701574.15311619	-2707860.376836492

Results

109.0ms	336×	body	256	valid
74.0ms	99×	body	256	infinite

Compiler

Compiled 339 to 251 computations (26% saved)

regimes159.0ms (0.7%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

57.0ms	x
57.0ms	z
43.0ms	y

Results

Error	Segments	Branch
21.5b	3	`x`
22.6b	1	`y`
14.3b	3	`z`

Compiler

Compiled 24 to 15 computations (37.5% saved)

bsearch337.0ms (1.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
243.0ms	0.0032556384867446567	12388811.226671135
94.0ms	-2707860.376836492	-0.00030222558728885913

Results

331.0ms

304×

body

256

valid

Compiler

Compiled 301 to 221 computations (26.6% saved)

regimes58.0ms (0.3%)

Counts

3 → 1

Calls

Call 1

Inputs
x
y
(+.f64 y x)

Outputs
(+.f64 y x)

Calls

3 calls:

31.0ms	z
19.0ms	y
7.0ms	x

Results

Error	Segments	Branch
22.6b	1	`x`
22.6b	1	`y`
22.6b	1	`z`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes379.0ms (1.7%)

Accuracy

Total -32.9b remaining (-112.8%)

Threshold costs -32.9b (-112.8%)

Counts

2 → 2

Calls

Call 1

Inputs
x
y

Outputs
x
y

Calls

3 calls:

266.0ms	y
55.0ms	z
16.0ms	x

Results

Error	Segments	Branch
29.2b	2	`x`
29.3b	2	`y`
37.1b	5	`z`

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch32.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
32.0ms	-8.058665233853502e-52	-6.4373043201828415e-55

Results

29.0ms	127×	body	256	valid
0.0ms	1×	body	1024	valid

Compiler

Compiled 96 to 76 computations (20.8% saved)

simplify30.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	464

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 (+.f64 x y) (-.f64 1 z))
(if (<=.f64 z -1) (.f64 (+.f64 y x) (neg.f64 z)) (if (<=.f64 z 1) (+.f64 y x) (.f64 (+.f64 y x) (neg.f64 z))))
(if (<=.f64 z -235000000000000011709761254850560) (.f64 z (neg.f64 y)) (if (<=.f64 z -3010670175542045/79228162514264337593543950336) (-.f64 x (.f64 z x)) (if (<=.f64 z 6198106008766409/147573952589676412928) (+.f64 y x) (if (<=.f64 z 549999999999999975407478347534746741352055527616039283216342418024268597824630931340212504984543668523775337403089152554738722306610902669485825743159465731604611072) (.f64 y (-.f64 1 z)) (.f64 z (neg.f64 x))))))
(if (<=.f64 z -1600000000000000085858595270295552) (.f64 z (neg.f64 y)) (if (<=.f64 z -3010670175542045/79228162514264337593543950336) (.f64 (-.f64 1 z) x) (if (<=.f64 z 6198106008766409/295147905179352825856) (+.f64 y x) (if (<=.f64 z 800000000000000001426679958870334692116509140482411141685612222161036022782319628496374966394274368799015176289767825885150461168253028987630025466020507579249065984) (.f64 y (-.f64 1 z)) (.f64 z (neg.f64 x))))))
(if (<=.f64 z -2800000) (.f64 y (-.f64 1 z)) (if (<=.f64 z 2508757194024499/147573952589676412928) (+.f64 y x) (if (<=.f64 z 55000000000000000814138442649616544148395249589203080538276287845491649265754461230155046903128921735647626066213072406360556358221161276165839120201339626488988696576) (.f64 y (-.f64 1 z)) (*.f64 z (neg.f64 x)))))
(if (<=.f64 z -2800000) (.f64 z (neg.f64 y)) (if (<=.f64 z 1) (+.f64 y x) (if (<=.f64 z 135000000000000002593501742484720948366641012051243770815158533083127646285632108127859441744893636057184189858141933570318944538826499679537469939746086911078159089664) (.f64 z (neg.f64 y)) (*.f64 z (neg.f64 x)))))
(if (<=.f64 z -9) (.f64 z (neg.f64 x)) (if (<=.f64 z 1) (+.f64 y x) (.f64 z (neg.f64 x))))
(+.f64 y x)
(if (<=.f64 x -7117425920127769/107839786668602559178668060348078522694548577690162289924414440996864) x y)
x

Outputs
(*.f64 (+.f64 x y) (-.f64 1 z))
(if (<=.f64 z -1) (.f64 (+.f64 y x) (neg.f64 z)) (if (<=.f64 z 1) (+.f64 y x) (.f64 (+.f64 y x) (neg.f64 z))))
(if (<=.f64 z -235000000000000011709761254850560) (.f64 z (neg.f64 y)) (if (<=.f64 z -3010670175542045/79228162514264337593543950336) (-.f64 x (.f64 z x)) (if (<=.f64 z 6198106008766409/147573952589676412928) (+.f64 y x) (if (<=.f64 z 549999999999999975407478347534746741352055527616039283216342418024268597824630931340212504984543668523775337403089152554738722306610902669485825743159465731604611072) (.f64 y (-.f64 1 z)) (.f64 z (neg.f64 x))))))
(if (<=.f64 z -1600000000000000085858595270295552) (.f64 z (neg.f64 y)) (if (<=.f64 z -3010670175542045/79228162514264337593543950336) (.f64 (-.f64 1 z) x) (if (<=.f64 z 6198106008766409/295147905179352825856) (+.f64 y x) (if (<=.f64 z 800000000000000001426679958870334692116509140482411141685612222161036022782319628496374966394274368799015176289767825885150461168253028987630025466020507579249065984) (.f64 y (-.f64 1 z)) (.f64 z (neg.f64 x))))))
(if (<=.f64 z -2800000) (.f64 y (-.f64 1 z)) (if (<=.f64 z 2508757194024499/147573952589676412928) (+.f64 y x) (if (<=.f64 z 55000000000000000814138442649616544148395249589203080538276287845491649265754461230155046903128921735647626066213072406360556358221161276165839120201339626488988696576) (.f64 y (-.f64 1 z)) (*.f64 z (neg.f64 x)))))
(if (<=.f64 z -2800000) (.f64 z (neg.f64 y)) (if (<=.f64 z 1) (+.f64 y x) (if (<=.f64 z 135000000000000002593501742484720948366641012051243770815158533083127646285632108127859441744893636057184189858141933570318944538826499679537469939746086911078159089664) (.f64 z (neg.f64 y)) (*.f64 z (neg.f64 x)))))
(if (<=.f64 z -9) (.f64 z (neg.f64 x)) (if (<=.f64 z 1) (+.f64 y x) (.f64 z (neg.f64 x))))
(+.f64 y x)
(if (<=.f64 x -7117425920127769/107839786668602559178668060348078522694548577690162289924414440996864) x y)
x

Compiler

Compiled 219 to 133 computations (39.3% saved)

soundness0.0ms (0%)

end729.0ms (3.3%)

Remove: (sort x y)
Compiler: Compiled 212 to 102 computations (51.9% saved)

Details

analyze1.7s (7.5%)

sample5.8s (26.3%)

preprocess276.0ms (1.2%)

simplify60.0ms (0.3%)

eval1.0ms (0%)

prune1.0ms (0%)

localize11.0ms (0.1%)

series22.0ms (0.1%)

rewrite546.0ms (2.5%)

simplify628.0ms (2.8%)

eval138.0ms (0.6%)

prune78.0ms (0.4%)

localize223.0ms (1%)

series32.0ms (0.1%)

rewrite388.0ms (1.7%)

simplify426.0ms (1.9%)

localize38.0ms (0.2%)

localize18.0ms (0.1%)

series2.0ms (0%)

rewrite439.0ms (2%)

simplify479.0ms (2.2%)

localize53.0ms (0.2%)

series5.0ms (0%)

rewrite411.0ms (1.9%)

simplify398.0ms (1.8%)

localize10.0ms (0%)

eval883.0ms (4%)

prune479.0ms (2.2%)

localize108.0ms (0.5%)

localize15.0ms (0.1%)

localize42.0ms (0.2%)

series3.0ms (0%)

rewrite253.0ms (1.1%)

simplify302.0ms (1.4%)

eval86.0ms (0.4%)

prune177.0ms (0.8%)

localize33.0ms (0.1%)

series4.0ms (0%)

rewrite423.0ms (1.9%)

simplify375.0ms (1.7%)

eval190.0ms (0.9%)

prune129.0ms (0.6%)

regimes189.0ms (0.9%)

regimes407.0ms (1.8%)

bsearch119.0ms (0.5%)

regimes976.0ms (4.4%)

bsearch320.0ms (1.4%)

regimes696.0ms (3.1%)

bsearch376.0ms (1.7%)

regimes752.0ms (3.4%)

bsearch136.0ms (0.6%)

regimes597.0ms (2.7%)

bsearch201.0ms (0.9%)

regimes159.0ms (0.7%)

bsearch337.0ms (1.5%)

regimes58.0ms (0.3%)

regimes379.0ms (1.7%)

bsearch32.0ms (0.1%)

simplify30.0ms (0.1%)

soundness0.0ms (0%)

end729.0ms (3.3%)

Profiling