Details

analyze376.0ms (6%)

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
18.8%	18.7%	81.1%	0.1%	0%	0%	0%	9
28.1%	28.1%	71.8%	0.1%	0%	0%	0%	10
32.8%	32.8%	67.1%	0.1%	0%	0%	0%	11
39.8%	39.8%	60.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 19 to 10 computations (47.4% saved)

sample2.2s (34.8%)

Results

1.0s	6356×	body	256	valid
352.0ms	846×	body	1024	valid
282.0ms	1810×	body	256	infinite
235.0ms	574×	body	512	valid
196.0ms	480×	body	2048	valid
37.0ms	208×	body	512	infinite
33.0ms	142×	body	1024	infinite

Bogosity

preprocess100.0ms (1.6%)

Algorithm

2×	egg-herbie

Rules

1274×	`rational.json-simplify-51`
1086×	`rational.json-simplify-19`
1082×	`rational.json-simplify-1`
958×	`rational.json-simplify-46`
896×	`rational.json-simplify-54`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	172
1	44	148
2	84	124
3	172	100
4	664	100
5	4104	100
6	6876	100
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 21 to 12 computations (42.9% saved)

simplify136.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1810×	`rational.json-simplify-35`
1346×	`rational.json-simplify-53`
1012×	`rational.json-simplify-39`
862×	`rational.json-simplify-59`
712×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	43
1	18	37
2	29	31
3	57	25
4	218	25
5	2002	25
6	6020	25
7	7941	25

Stop Event

1×	node limit

Counts

1 → 6

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 75 to 25 computations (66.7% saved)

prune2.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	3	3	6
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	3	4	7

Error

12.9b

Counts

7 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	13.1b	(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))
▶	17.2b	(+.f64 (.f64 y (-.f64 x y)) (.f64 y (-.f64 y z)))
▶	17.1b	(*.f64 y (+.f64 y (-.f64 (-.f64 x z) y)))

Compiler

Compiled 44 to 24 computations (45.5% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 y (+.f64 y (-.f64 (-.f64 x z) y)))
✓	1.7b	(+.f64 y (-.f64 (-.f64 x z) y))

Compiler

Compiled 30 to 7 computations (76.7% saved)

series4.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite94.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1416×	`rational.json-1`
1416×	`rational.json-2`
1416×	`rational.json-3`
1404×	`exponential.json-3`
1404×	`rational.json-4`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	9	44
1	60	44
2	138	44
3	318	44
4	629	44
5	1667	44
6	3913	20
7	6582	20

Stop Event

1×	node limit

Counts

2 → 64

Calls

Call 1

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

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

Outputs

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

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

simplify375.0ms (6%)

Algorithm

1×	egg-herbie

Rules

1786×	`rational.json-simplify-1`
1468×	`rational.json-simplify-35`
1306×	`rational.json-simplify-52`
1008×	`rational.json-simplify-41`
1004×	`rational.json-simplify-51`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	150	1474
1	330	1450
2	801	1450
3	2002	1426
4	5084	1426
5	6039	1414
6	6462	1414
7	6802	1414
8	7274	1414
9	7907	1414

Stop Event

1×	node limit

Counts

136 → 84

Calls

Call 1

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

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

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 y (-.f64 x y))
✓	0.0b	(*.f64 y (-.f64 y z))
✓	8.2b	(+.f64 (.f64 y (-.f64 x y)) (.f64 y (-.f64 y z)))

Compiler

Compiled 33 to 8 computations (75.8% saved)

series125.0ms (2%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
118.0ms	y	@	0	(*.f64 y (-.f64 y z))
1.0ms	y	@	inf	(*.f64 y (-.f64 y z))
1.0ms	y	@	-inf	(+.f64 (.f64 y (-.f64 x y)) (.f64 y (-.f64 y z)))
1.0ms	y	@	0	(+.f64 (.f64 y (-.f64 x y)) (.f64 y (-.f64 y z)))
1.0ms	y	@	inf	(+.f64 (.f64 y (-.f64 x y)) (.f64 y (-.f64 y z)))

rewrite94.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1492×	`rational.json-1`
1492×	`rational.json-2`
1492×	`rational.json-3`
1472×	`exponential.json-3`
1472×	`rational.json-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	57
1	65	51
2	141	51
3	322	51
4	623	51
5	1571	51
6	3585	51
7	6114	51

Stop Event

1×	node limit

Counts

3 → 59

Calls

Call 1

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

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

Outputs

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

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

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

simplify309.0ms (5%)

Algorithm

1×	egg-herbie

Rules

2504×	`rational.json-simplify-2`
1874×	`rational.json-simplify-35`
1380×	`rational.json-simplify-51`
1374×	`exponential.json-simplify-26`
956×	`rational.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	147	3317
1	348	3113
2	789	3051
3	2287	3051
4	4893	3051
5	5961	3051
6	6382	3051
7	6644	3051
8	6652	3051
9	7617	3051

Stop Event

1×	node limit

Counts

143 → 95

Calls

Call 1

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

Outputs
(.f64 y (+.f64 (.f64 -1 z) x))
(*.f64 y (+.f64 (neg.f64 z) x))
(.f64 y (+.f64 (.f64 -1 z) x))
(*.f64 y (+.f64 (neg.f64 z) x))
(.f64 y (+.f64 (.f64 -1 z) x))
(*.f64 y (+.f64 (neg.f64 z) x))
(.f64 y (+.f64 (.f64 -1 z) x))
(*.f64 y (+.f64 (neg.f64 z) x))
(*.f64 y (-.f64 x z))
(*.f64 y (-.f64 x z))
(*.f64 y (-.f64 x z))
(*.f64 y (-.f64 x z))
(.f64 -1 (.f64 y (+.f64 (*.f64 -1 x) z)))
(.f64 y (.f64 (+.f64 z (*.f64 -1 x)) -1))
(neg.f64 (*.f64 y (+.f64 z (neg.f64 x))))
(*.f64 (+.f64 z (neg.f64 x)) (neg.f64 y))
(*.f64 y (neg.f64 (+.f64 z (neg.f64 x))))
(.f64 -1 (.f64 y (+.f64 (*.f64 -1 x) z)))
(.f64 y (.f64 (+.f64 z (*.f64 -1 x)) -1))
(neg.f64 (*.f64 y (+.f64 z (neg.f64 x))))
(*.f64 (+.f64 z (neg.f64 x)) (neg.f64 y))
(*.f64 y (neg.f64 (+.f64 z (neg.f64 x))))
(.f64 -1 (.f64 y (+.f64 (*.f64 -1 x) z)))
(.f64 y (.f64 (+.f64 z (*.f64 -1 x)) -1))
(neg.f64 (*.f64 y (+.f64 z (neg.f64 x))))
(*.f64 (+.f64 z (neg.f64 x)) (neg.f64 y))
(*.f64 y (neg.f64 (+.f64 z (neg.f64 x))))
(.f64 -1 (.f64 y (+.f64 (*.f64 -1 x) z)))
(.f64 y (.f64 (+.f64 z (*.f64 -1 x)) -1))
(neg.f64 (*.f64 y (+.f64 z (neg.f64 x))))
(*.f64 (+.f64 z (neg.f64 x)) (neg.f64 y))
(*.f64 y (neg.f64 (+.f64 z (neg.f64 x))))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 y (-.f64 y z)))
(+.f64 (neg.f64 (pow.f64 y 2)) (*.f64 y (-.f64 y z)))
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 (.f64 y x) (*.f64 y (-.f64 y z))))
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 (.f64 y (-.f64 y z)) (*.f64 y x)))
(+.f64 (neg.f64 (pow.f64 y 2)) (*.f64 y (+.f64 x (-.f64 y z))))
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 (.f64 y x) (*.f64 y (-.f64 y z))))
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 (.f64 y (-.f64 y z)) (*.f64 y x)))
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(-.f64 (*.f64 y (+.f64 (-.f64 x y) (-.f64 y z))) 0)
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localize25.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 x y) (.f64 y y))
✓	0.0b	(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))
✓	8.3b	(+.f64 (-.f64 (.f64 x y) (.f64 y y)) (*.f64 y y))

Compiler

Compiled 48 to 9 computations (81.3% saved)

series4.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

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

rewrite78.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1706×	`rational.json-1`
1706×	`rational.json-2`
1706×	`rational.json-4`
1706×	`rational.json-3`
1700×	`exponential.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	93
1	75	75
2	177	63
3	476	57
4	1624	57
5	5372	57

Stop Event

1×	node limit

Counts

3 → 81

Calls

Call 1

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

Outputs

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

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

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

simplify120.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1150×	`rational.json-simplify-2`
1120×	`rational.json-simplify-51`
1002×	`rational.json-simplify-35`
896×	`rational.json-simplify-41`
872×	`rational.json-simplify-61`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	163	2963
1	353	2765
2	839	2765
3	2336	2759
4	4994	2757
5	7541	2757

Stop Event

1×	node limit

Counts

165 → 107

Calls

Call 1

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

eval366.0ms (5.9%)

Compiler: Compiled 3462 to 1267 computations (63.4% saved)

prune111.0ms (1.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	282	4	286
Fresh	0	0	0
Picked	1	0	1
Done	2	0	2
Total	285	4	289

Error

0.0b

Counts

289 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(-.f64 (.f64 y x) (.f64 y z))
▶	0.0b	(*.f64 (-.f64 x z) y)
▶	30.7b	(*.f64 y (neg.f64 z))
▶	28.8b	(*.f64 y x)

Compiler

Compiled 31 to 20 computations (35.5% saved)

localize3.0ms (0.1%)

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

localize5.0ms (0.1%)

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite105.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1388×	`rational.json-1`
1388×	`rational.json-2`
1388×	`rational.json-3`
1384×	`exponential.json-3`
1384×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	45	13
2	103	13
3	223	13
4	410	13
5	943	13
6	2572	13
7	5004	13
8	6579	13

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

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

simplify255.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

2418×	`rational.json-simplify-2`
1638×	`rational.json-simplify-35`
1112×	`rational.json-simplify-43`
942×	`rational.json-simplify-52`
862×	`rational.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	70	989
1	169	839
2	340	833
3	754	833
4	2542	833
5	4292	833
6	4956	833
7	5283	833
8	5526	833
9	5813	833
10	6983	833

Stop Event

1×	node limit

Counts

59 → 31

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite112.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1732×	`rational.json-1`
1732×	`rational.json-2`
1538×	`rational.json-simplify-35`
1112×	`exponential.json-3`
1112×	`rational.json-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	52	13
2	116	13
3	262	13
4	501	13
5	1170	13
6	2721	13
7	5214	13
8	7397	13

Stop Event

1×	node limit

Counts

1 → 55

Calls

Call 1

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

Outputs

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

simplify181.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1438×	`rational.json-simplify-35`
1050×	`rational.json-simplify-2`
950×	`rational.json-simplify-52`
864×	`rational.json-simplify-53`
798×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	136	1487
1	316	1337
2	679	1337
3	1754	1325
4	3607	1325
5	4577	1325
6	5424	1325
7	6386	1325

Stop Event

1×	node limit

Counts

91 → 69

Calls

Call 1

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

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

eval77.0ms (1.2%)

Compiler: Compiled 955 to 456 computations (52.3% saved)

prune86.0ms (1.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	99	5	104

Error

Counts

104 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 (.f64 y x) (.f64 y z))
✓	0.0b	(*.f64 (-.f64 x z) y)
▶	0.0b	(.f64 y (+.f64 (-.f64 (.f64 x 1/2) z) (*.f64 x 1/2)))
✓	30.7b	(*.f64 y (neg.f64 z))
✓	28.8b	(*.f64 y x)

Compiler

Compiled 45 to 30 computations (33.3% saved)

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 35 to 22 computations (37.1% saved)

series3.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite107.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1354×	`rational.json-simplify-35`
1350×	`rational.json-1`
1350×	`rational.json-2`
1350×	`rational.json-3`
1340×	`exponential.json-3`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	10	56
1	65	56
2	132	56
3	280	56
4	524	28
5	1228	28
6	2804	28
7	4701	28
8	6663	28

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

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

Outputs

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

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

simplify465.0ms (7.5%)

Algorithm

1×	egg-herbie

Rules

3644×	`rational.json-simplify-41`
2082×	`rational.json-simplify-35`
1992×	`rational.json-simplify-53`
1960×	`rational.json-simplify-2`
1220×	`rational.json-simplify-51`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	98	1466
1	219	1280
2	723	1280
3	1668	1280
4	3662	1280
5	4037	1280
6	4195	1280
7	4313	1280
8	4454	1280
9	4604	1280
10	6287	1280
11	6724	1280
12	6827	1280
13	6926	1280
14	6926	1280
15	7024	1280

Stop Event

1×	node limit

Counts

98 → 57

Calls

Call 1

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

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

eval11.0ms (0.2%)

Compiler: Compiled 555 to 275 computations (50.5% saved)

prune8.0ms (0.1%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	57	5	62

Error

Counts

62 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 (.f64 y x) (.f64 y z))
✓	0.0b	(*.f64 (-.f64 x z) y)
✓	0.0b	(.f64 y (+.f64 (-.f64 (.f64 x 1/2) z) (*.f64 x 1/2)))
✓	30.7b	(*.f64 y (neg.f64 z))
✓	28.8b	(*.f64 y x)

Compiler

Compiled 45 to 30 computations (33.3% saved)

regimes72.0ms (1.2%)

Counts

8 → 1

Calls

Call 1

Inputs
(*.f64 y x)
(*.f64 y (neg.f64 z))
(*.f64 (-.f64 x z) y)
(-.f64 (.f64 y x) (.f64 y z))
(*.f64 y (+.f64 y (-.f64 (-.f64 x z) y)))
(.f64 y (+.f64 (-.f64 (.f64 x 1/2) z) (*.f64 x 1/2)))
(+.f64 (.f64 y (-.f64 x y)) (.f64 y (-.f64 y z)))
(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))

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

Calls

4 calls:

51.0ms	(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))
9.0ms	x
5.0ms	y
5.0ms	z

Results

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

Compiler

Compiled 98 to 48 computations (51% saved)

regimes11.0ms (0.2%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	z
3.0ms	x
3.0ms	y

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`z`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes101.0ms (1.6%)

Accuracy

Total -46.4b remaining (-395.6%)

Threshold costs -46.4b (-395.6%)

Counts

2 → 5

Calls

Call 1

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

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

Calls

3 calls:

55.0ms	z
28.0ms	y
17.0ms	x

Results

Error	Segments	Branch
12.3b	5	`x`
21.7b	7	`y`
11.7b	5	`z`

Compiler

Compiled 22 to 15 computations (31.8% saved)

bsearch60.0ms (1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
15.0ms	3.608478054687314e-42	1.5577591320337858e-41
5.0ms	-5.945048354367814e-29	-5.159610474237595e-29
20.0ms	-1.4042797013150725e+20	-74130763639680940.0
20.0ms	-1.8109981295984945e+71	-5.33274146391518e+65

Results

36.0ms	326×	body	256	valid
10.0ms	34×	body	1024	valid
7.0ms	40×	body	512	valid
1.0ms	3×	body	1024	infinite
0.0ms	1×	body	256	infinite

Compiler

Compiled 399 to 289 computations (27.6% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	122

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(-.f64 (.f64 y x) (.f64 y z))
(*.f64 (-.f64 x z) y)
(if (<=.f64 z -719999999999999956890636193571049019909512358661613975440218652672) (.f64 y (neg.f64 z)) (if (<=.f64 z -1950000000000000000) (.f64 y x) (if (<=.f64 z -1248841731117715/22300745198530623141535718272648361505980416) (.f64 y (neg.f64 z)) (if (<=.f64 z 2746232009231673/392318858461667547739736838950479151006397215279002157056) (.f64 y x) (*.f64 y (neg.f64 z))))))
(*.f64 y x)

Outputs
(-.f64 (.f64 y x) (.f64 y z))
(*.f64 (-.f64 x z) y)
(if (<=.f64 z -719999999999999956890636193571049019909512358661613975440218652672) (.f64 y (neg.f64 z)) (if (<=.f64 z -1950000000000000000) (.f64 y x) (if (<=.f64 z -1248841731117715/22300745198530623141535718272648361505980416) (.f64 y (neg.f64 z)) (if (<=.f64 z 2746232009231673/392318858461667547739736838950479151006397215279002157056) (.f64 y x) (*.f64 y (neg.f64 z))))))
(*.f64 y x)

Compiler

Compiled 61 to 33 computations (45.9% saved)

soundness0.0ms (0%)

end29.0ms (0.5%)

Compiler: Compiled 52 to 22 computations (57.7% saved)

Details

analyze376.0ms (6%)

sample2.2s (34.8%)

preprocess100.0ms (1.6%)

simplify136.0ms (2.2%)

eval1.0ms (0%)

prune2.0ms (0%)

localize10.0ms (0.2%)

series4.0ms (0.1%)

rewrite94.0ms (1.5%)

simplify375.0ms (6%)

localize9.0ms (0.2%)

series125.0ms (2%)

rewrite94.0ms (1.5%)

simplify309.0ms (5%)

localize25.0ms (0.4%)

series4.0ms (0.1%)

rewrite78.0ms (1.2%)

simplify120.0ms (1.9%)

eval366.0ms (5.9%)

prune111.0ms (1.8%)

localize3.0ms (0.1%)

localize5.0ms (0.1%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite105.0ms (1.7%)

simplify255.0ms (4.1%)

localize6.0ms (0.1%)

series1.0ms (0%)

rewrite112.0ms (1.8%)

simplify181.0ms (2.9%)

eval77.0ms (1.2%)

prune86.0ms (1.4%)

localize14.0ms (0.2%)

series3.0ms (0.1%)

rewrite107.0ms (1.7%)

simplify465.0ms (7.5%)

eval11.0ms (0.2%)

prune8.0ms (0.1%)

regimes72.0ms (1.2%)

regimes11.0ms (0.2%)

regimes101.0ms (1.6%)

bsearch60.0ms (1%)

simplify3.0ms (0%)

soundness0.0ms (0%)

end29.0ms (0.5%)

Profiling