Details

analyze415.0ms (4.7%)

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)

sample6.5s (73.2%)

Results

2.8s	6310×	body	256	valid
1.2s	854×	body	1024	valid
780.0ms	1898×	body	256	infinite
686.0ms	506×	body	2048	valid
507.0ms	586×	body	512	valid
182.0ms	146×	body	1024	infinite
132.0ms	218×	body	512	infinite

Bogosity

preprocess16.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

30×	`rational_best.json-simplify-2`
16×	`rational_best.json-simplify-1`
16×	`rational_best.json-simplify-48`
16×	`rational_best.json-simplify-47`
6×	`rational_best.json-simplify-74`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	172
1	36	148
2	44	124
3	64	100
4	76	100
5	80	100
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

Compiler

Compiled 21 to 12 computations (42.9% saved)

simplify30.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

10×	`rational_best.json-simplify-2`
4×	`rational_best.json-simplify-1`
4×	`rational_best.json-simplify-48`
4×	`rational_best.json-simplify-47`
2×	`rational_best.json-simplify-74`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	43
1	16	37
2	18	31
3	23	25
4	26	25
5	27	25

Stop Event

1×

saturated

Counts

1 → 5

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

eval2.0ms (0%)

Compiler: Compiled 66 to 21 computations (68.2% saved)

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	4	1	5
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	5	1	6

Error

8.8b

Counts

6 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	8.8b	(*.f64 y (-.f64 (+.f64 y (-.f64 x y)) z))

Compiler

Compiled 12 to 7 computations (41.7% saved)

localize213.0ms (2.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 y (-.f64 (+.f64 y (-.f64 x y)) z))
✓	3.7b	(+.f64 y (-.f64 x y))

Compiler

Compiled 30 to 7 computations (76.7% saved)

series6.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite203.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

986×	`rational_best.json-simplify-57`
528×	`rational_best.json-5`
526×	`rational_best.json-2`
526×	`rational_best.json-3`
526×	`rational_best.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	38
1	76	38
2	269	38
3	1141	38
4	4961	38

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

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

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

Outputs

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

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

simplify405.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

1300×	`rational_best.json-simplify-54`
878×	`rational_best.json-simplify-2`
790×	`rational_best.json-simplify-49`
642×	`rational_best.json-simplify-57`
630×	`rational_best.json-simplify-80`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	82	1278
1	166	1164
2	878	1128
3	3185	1128
4	5255	1128

Stop Event

1×	node limit

Counts

96 → 51

Calls

Call 1

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

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

eval19.0ms (0.2%)

Compiler: Compiled 943 to 194 computations (79.4% saved)

prune10.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	48	3	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	49	3	52

Error

0.0b

Counts

52 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(*.f64 y (-.f64 x z))
▶	27.6b	(*.f64 y (neg.f64 z))
▶	32.3b	(*.f64 y x)

Compiler

Compiled 21 to 14 computations (33.3% saved)

localize5.0ms (0.1%)

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

localize6.0ms (0.1%)

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

9 calls:

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

rewrite250.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1908×	`rational_best.json-5`
1906×	`rational_best.json-2`
1906×	`rational_best.json-3`
1906×	`rational_best.json-1`
1906×	`rational_best.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	59	13
2	211	13
3	888	13
4	3855	13

Stop Event

1×	node limit

Counts

1 → 7

Calls

Call 1

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

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

Outputs

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

simplify302.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

1754×	`rational_best.json-simplify-80`
1356×	`rational_best.json-simplify-78`
1086×	`rational_best.json-simplify-44`
1042×	`rational_best.json-simplify-132`
928×	`rational_best.json-simplify-43`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	601
1	40	487
2	83	451
3	206	451
4	816	451
5	2550	451
6	4243	451
7	6807	451

Stop Event

1×	node limit

Counts

31 → 16

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 (*.f64 y (-.f64 x z)) 0)
(+.f64 0 (*.f64 y (-.f64 x z)))
(-.f64 (*.f64 y (-.f64 x z)) 0)
(/.f64 (*.f64 y (-.f64 x z)) 1)
(/.f64 (.f64 y (-.f64 x z)) (/.f64 (.f64 y (-.f64 x z)) (*.f64 y (-.f64 x z))))
(/.f64 (*.f64 (-.f64 x z) (+.f64 y y)) 2)
(pow.f64 (*.f64 y (-.f64 x z)) 1)

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

eval4.0ms (0%)

Compiler: Compiled 116 to 40 computations (65.5% saved)

prune5.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	16	0	16
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	16	3	19

Error

0.0b

Counts

19 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(*.f64 y (-.f64 x z))
✓	27.6b	(*.f64 y (neg.f64 z))
✓	32.3b	(*.f64 y x)

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes32.0ms (0.4%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

8.0ms	(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))
8.0ms	z
6.0ms	y
5.0ms	x

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 69 to 36 computations (47.8% saved)

regimes56.0ms (0.6%)

Accuracy

Total -45.7b remaining (-361.2%)

Threshold costs -45.7b (-361.2%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

24.0ms	y
20.0ms	z
11.0ms	x

Results

Error	Segments	Branch
12.6b	3	`x`
21.5b	6	`y`
14.1b	5	`z`

Compiler

Compiled 22 to 15 computations (31.8% saved)

bsearch92.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
39.0ms	1.324378696836385e-25	1.13355442628202e-12
52.0ms	-1.7456244387707292e-22	-2.029833606989258e-23

Results

64.0ms	199×	body	256	valid
17.0ms	38×	body	1024	valid
5.0ms	18×	body	512	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 264 to 190 computations (28% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	63

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs

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

(if (<=.f64 x -616761790044201/21267647932558653966460912964485513216) (*.f64 y x) (if (<=.f64 x 3530761863803683/5192296858534827628530496329220096) (*.f64 y (neg.f64 z)) (*.f64 y x)))

(*.f64 y x)

Outputs

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

(if (<=.f64 x -616761790044201/21267647932558653966460912964485513216) (*.f64 y x) (if (<=.f64 x 3530761863803683/5192296858534827628530496329220096) (*.f64 y (neg.f64 z)) (*.f64 y x)))

(*.f64 y x)

Compiler

Compiled 35 to 21 computations (40% saved)

soundness247.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

10×	`rational_best.json-simplify-2`
4×	`rational_best.json-simplify-1`
4×	`rational_best.json-simplify-48`
4×	`rational_best.json-simplify-47`
2×	`rational_best.json-simplify-74`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	43
1	16	37
2	18	31
3	23	25
4	26	25
5	27	25

Stop Event

1×

saturated

Compiler

Compiled 77 to 24 computations (68.8% saved)

end38.0ms (0.4%)

Compiler: Compiled 29 to 14 computations (51.7% saved)

Details

analyze415.0ms (4.7%)

sample6.5s (73.2%)

preprocess16.0ms (0.2%)

simplify30.0ms (0.3%)

eval2.0ms (0%)

prune2.0ms (0%)

localize213.0ms (2.4%)

series6.0ms (0.1%)

rewrite203.0ms (2.3%)

simplify405.0ms (4.6%)

eval19.0ms (0.2%)

prune10.0ms (0.1%)

localize5.0ms (0.1%)

localize6.0ms (0.1%)

localize7.0ms (0.1%)

series1.0ms (0%)

rewrite250.0ms (2.8%)

simplify302.0ms (3.4%)

eval4.0ms (0%)

prune5.0ms (0.1%)

regimes32.0ms (0.4%)

regimes56.0ms (0.6%)

bsearch92.0ms (1%)

simplify4.0ms (0%)

soundness247.0ms (2.8%)

end38.0ms (0.4%)

Profiling