Details

analyze404.0ms (4.5%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	7
18.8%	18.7%	81.1%	0.1%	0%	0%	0%	8
28.1%	28.1%	71.8%	0.1%	0%	0%	0%	9
36.7%	34.3%	59.3%	0.1%	6.2%	0%	0%	10
44.2%	40.6%	51.3%	0.1%	8%	0%	0%	11
52.6%	48%	43.2%	0.1%	8.7%	0%	0%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.6s (17.5%)

Results

1.4s	8256×	body	256	valid
192.0ms	1231×	body	256	infinite

Bogosity

preprocess33.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

8×	`rational_best.json-simplify-1`
8×	`rational_best.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	76
1	25	76
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify27.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

2×	`rational_best.json-simplify-1`
2×	`rational_best.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	10	19

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 10 to 6 computations (40% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 10 to 6 computations (40% saved)

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 6 computations (71.4% saved)

series7.0ms (0.1%)

Counts

2 → 60

Calls

18 calls:

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

rewrite202.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

876×	`rational_best.json-simplify-57`
672×	`rational_best.json-simplify-80`
618×	`rational_best.json-simplify-43`
598×	`rational_best.json-simplify-49`
468×	`rational_best.json-5`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	68	32
2	239	32
3	1008	32
4	4385	32

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

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

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

Outputs

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

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

simplify312.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

1230×	`rational_best.json-simplify-80`
1228×	`rational_best.json-simplify-129`
1120×	`rational_best.json-simplify-78`
872×	`rational_best.json-simplify-2`
760×	`rational_best.json-simplify-132`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	96	2082
1	186	1890
2	629	1836
3	1600	1836
4	4467	1836

Stop Event

1×	node limit

Counts

102 → 80

Calls

Call 1

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

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

eval23.0ms (0.3%)

Compiler: Compiled 1611 to 272 computations (83.1% saved)

prune31.0ms (0.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	74	6	80
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	74	7	81

Error

0.0b

Counts

81 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 (.f64 z y) (.f64 (+.f64 -1 z) (neg.f64 x)))
✓	0.0b	(+.f64 x (*.f64 (-.f64 y x) z))
▶	26.6b	(+.f64 x (*.f64 z (neg.f64 x)))
▶	11.2b	(+.f64 x (*.f64 z y))
▶	25.6b	(*.f64 (-.f64 y x) z)
▶	26.6b	(*.f64 (+.f64 -1 z) (neg.f64 x))
	37.3b	x

Compiler

Compiled 108 to 73 computations (32.4% saved)

localize22.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 31 to 15 computations (51.6% saved)

series9.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	z	@	0	(+.f64 (.f64 z y) (.f64 (+.f64 -1 z) (neg.f64 x)))
1.0ms	y	@	inf	(+.f64 (.f64 z y) (.f64 (+.f64 -1 z) (neg.f64 x)))
1.0ms	y	@	0	(+.f64 (.f64 z y) (.f64 (+.f64 -1 z) (neg.f64 x)))
1.0ms	z	@	inf	(+.f64 (.f64 z y) (.f64 (+.f64 -1 z) (neg.f64 x)))
1.0ms	x	@	0	(+.f64 (.f64 z y) (.f64 (+.f64 -1 z) (neg.f64 x)))

rewrite210.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1238×	`rational_best.json-simplify-57`
824×	`rational_best.json-simplify-44`
620×	`rational_best.json-5`
618×	`rational_best.json-2`
618×	`rational_best.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	46
1	104	46
2	334	38
3	1359	38
4	6022	38

Stop Event

1×	node limit

Counts

2 → 32

Calls

Call 1

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

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

Outputs

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

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

simplify231.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1378×	`rational_best.json-simplify-80`
1324×	`rational_best.json-simplify-129`
1288×	`rational_best.json-simplify-78`
1226×	`rational_best.json-simplify-94`
1112×	`rational_best.json-simplify-135`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	84	1972
1	170	1920
2	675	1920
3	3577	1920

Stop Event

1×	node limit

Counts

92 → 69

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite164.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1904×	`rational_best.json-5`
1902×	`rational_best.json-2`
1902×	`rational_best.json-3`
1902×	`rational_best.json-1`
1902×	`rational_best.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	60	13
2	209	13
3	876	13
4	3830	13

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

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

Outputs

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

simplify532.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

1274×	`rational_best.json-simplify-80`
1220×	`rational_best.json-simplify-78`
1186×	`rational_best.json-simplify-94`
1156×	`rational_best.json-simplify-24`
1056×	`rational_best.json-simplify-135`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	636
1	78	636
2	493	636
3	3180	636
4	6646	636

Stop Event

1×	node limit

Counts

54 → 23

Calls

Call 1

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

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

localize15.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 10 computations (41.2% saved)

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 6 computations (64.7% saved)

series5.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(+.f64 x (*.f64 z (neg.f64 x)))
1.0ms	x	@	inf	(+.f64 x (*.f64 z (neg.f64 x)))
0.0ms	z	@	0	(+.f64 x (*.f64 z (neg.f64 x)))
0.0ms	z	@	inf	(+.f64 x (*.f64 z (neg.f64 x)))
0.0ms	x	@	-inf	(+.f64 x (*.f64 z (neg.f64 x)))

rewrite155.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

892×	`rational_best.json-simplify-57`
824×	`rational_best.json-simplify-82`
606×	`rational_best.json-simplify-80`
602×	`rational_best.json-simplify-44`
562×	`rational_best.json-simplify-43`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	72	17
2	250	17
3	996	17
4	4387	17

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

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

simplify220.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1276×	`rational_best.json-simplify-80`
1162×	`rational_best.json-simplify-78`
904×	`rational_best.json-simplify-129`
808×	`rational_best.json-simplify-49`
758×	`rational_best.json-simplify-82`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	81	1199
1	176	1125
2	589	1125
3	2097	1101
4	3787	1101

Stop Event

1×	node limit

Counts

55 → 51

Calls

Call 1

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

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

eval126.0ms (1.4%)

Compiler: Compiled 2649 to 906 computations (65.8% saved)

prune202.0ms (2.2%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	180	4	184
Fresh	0	1	1
Picked	0	1	1
Done	2	3	5
Total	182	9	191

Error

0.0b

Counts

191 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	25.6b	(+.f64 (.f64 z y) (.f64 z (neg.f64 x)))
✓	0.0b	(+.f64 x (*.f64 (-.f64 y x) z))
✓	26.6b	(+.f64 x (*.f64 z (neg.f64 x)))
✓	11.2b	(+.f64 x (*.f64 z y))
✓	25.6b	(*.f64 (-.f64 y x) z)
▶	51.8b	(*.f64 z (neg.f64 x))
▶	36.3b	(*.f64 z y)
▶	26.6b	(*.f64 x (-.f64 1 z))
	37.3b	x

Compiler

Compiled 71 to 47 computations (33.8% saved)

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

series11.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	z	@	0	(*.f64 x (-.f64 1 z))
1.0ms	x	@	0	(*.f64 x (-.f64 1 z))
1.0ms	x	@	inf	(*.f64 x (-.f64 1 z))
0.0ms	x	@	-inf	(*.f64 x (-.f64 1 z))
0.0ms	z	@	inf	(*.f64 x (-.f64 1 z))

rewrite137.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1648×	`rational_best.json-5`
1646×	`rational_best.json-2`
1646×	`rational_best.json-3`
1646×	`rational_best.json-1`
1646×	`exponential.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	56	13
2	184	13
3	770	13
4	3317	13

Stop Event

1×	node limit

Counts

1 → 7

Calls

Call 1

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

Outputs

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

simplify355.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

1768×	`rational_best.json-simplify-80`
1354×	`rational_best.json-simplify-78`
1072×	`rational_best.json-simplify-44`
1040×	`rational_best.json-simplify-132`
922×	`rational_best.json-simplify-43`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	457
1	38	435
2	79	435
3	199	435
4	801	435
5	2512	435
6	4219	435
7	6799	435

Stop Event

1×	node limit

Counts

31 → 17

Calls

Call 1

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

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

localize7.0ms (0.1%)

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

localize9.0ms (0.1%)

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

localize15.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 23 to 7 computations (69.6% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite203.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1156×	`rational_best.json-simplify-57`
848×	`rational_best.json-simplify-44`
718×	`rational_best.json-simplify-43`
586×	`rational_best.json-simplify-47`
584×	`rational_best.json-5`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	91	17
2	317	17
3	1274	17
4	5701	17

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs

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

simplify487.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

1004×	`rational_best.json-simplify-68`
966×	`rational_best.json-simplify-43`
924×	`rational_best.json-simplify-2`
638×	`rational_best.json-simplify-80`
564×	`rational_best.json-simplify-78`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	93	1157
1	217	1141
2	502	1141
3	1529	1141
4	2741	1141
5	5595	1141

Stop Event

1×	node limit

Counts

69 → 43

Calls

Call 1

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

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

eval14.0ms (0.2%)

Compiler: Compiled 776 to 206 computations (73.5% saved)

prune20.0ms (0.2%)

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	1	1
Picked	0	1	1
Done	0	7	7
Total	60	9	69

Error

0.0b

Counts

69 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	25.6b	(+.f64 (.f64 z y) (.f64 z (neg.f64 x)))
✓	0.0b	(+.f64 x (*.f64 (-.f64 y x) z))
✓	26.6b	(+.f64 x (*.f64 z (neg.f64 x)))
✓	11.2b	(+.f64 x (*.f64 z y))
✓	25.6b	(*.f64 (-.f64 y x) z)
✓	51.8b	(*.f64 z (neg.f64 x))
✓	36.3b	(*.f64 z y)
✓	26.6b	(*.f64 x (-.f64 1 z))
	37.3b	x

Compiler

Compiled 71 to 47 computations (33.8% saved)

eval0.0ms (0%)

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

prune6.0ms (0.1%)

Pruning

9 alts after pruning (1 fresh and 8 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	8	8
Total	9	9

Error

0.0b

Counts

9 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	25.6b	(+.f64 (.f64 z y) (.f64 z (neg.f64 x)))
✓	0.0b	(+.f64 x (*.f64 (-.f64 y x) z))
✓	26.6b	(+.f64 x (*.f64 z (neg.f64 x)))
✓	11.2b	(+.f64 x (*.f64 z y))
✓	25.6b	(*.f64 (-.f64 y x) z)
✓	51.8b	(*.f64 z (neg.f64 x))
✓	36.3b	(*.f64 z y)
✓	26.6b	(*.f64 x (-.f64 1 z))
	37.3b	x

Compiler

Compiled 71 to 47 computations (33.8% saved)

regimes209.0ms (2.3%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

4 calls:

160.0ms	(+.f64 x (*.f64 (-.f64 y x) z))
18.0ms	x
15.0ms	z
13.0ms	y

Results

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

Compiler

Compiled 85 to 37 computations (56.5% saved)

regimes57.0ms (0.6%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

4 calls:

13.0ms	y
13.0ms	(+.f64 x (*.f64 (-.f64 y x) z))
13.0ms	z
12.0ms	x

Results

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

Compiler

Compiled 75 to 33 computations (56% saved)

regimes124.0ms (1.4%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

3 calls:

50.0ms	x
40.0ms	y
29.0ms	z

Results

Error	Segments	Branch
5.9b	4	`x`
5.5b	3	`y`
0.9b	3	`z`

Compiler

Compiled 50 to 25 computations (50% saved)

bsearch55.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
34.0ms	1.7884091362853218e-10	43.21001160785031
21.0ms	-7639803.680405977	-27330.339370041158

Results

48.0ms

288×

body

256

valid

Compiler

Compiled 340 to 227 computations (33.2% saved)

regimes588.0ms (6.5%)

Counts

5 → 5

Calls

Call 1

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

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

Calls

3 calls:

397.0ms	y
134.0ms	z
55.0ms	x

Results

Error	Segments	Branch
10.7b	5	`x`
11.8b	7	`y`
11.0b	7	`z`

Compiler

Compiled 33 to 20 computations (39.4% saved)

bsearch88.0ms (1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
30.0ms	5.099020006336092e-76	3.119027394886095e-68
12.0ms	-3.9411131359277625e-146	-2.270722201863912e-146
21.0ms	-1.729223980286064e-137	-2.2412904579816036e-138
25.0ms	-2.092696651058737e+29	-1.2344045604574654e+25

Results

76.0ms

432×

body

256

valid

Compiler

Compiled 502 to 362 computations (27.9% saved)

regimes342.0ms (3.8%)

Counts

4 → 7

Calls

Call 1

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

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

Calls

3 calls:

214.0ms	y
73.0ms	z
52.0ms	x

Results

Error	Segments	Branch
14.2b	5	`x`
12.8b	7	`y`
18.8b	8	`z`

Compiler

Compiled 28 to 18 computations (35.7% saved)

bsearch349.0ms (3.9%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
18.0ms	4.902687225323213e+64	3.9676532720463564e+67
45.0ms	4.4787126382641044e+39	1.0587488312837244e+42
28.0ms	7.720513025078361e-41	3.7272897817304825e-32
218.0ms	-36564838839078887000.0	-799129535190108.5
18.0ms	-5.74351112612046e+28	-9.354812066628954e+26
22.0ms	-1.510741913701156e+77	-2.210607271670165e+74

Results

328.0ms	752×	body	256	valid
3.0ms	24×	body	256	infinite

Compiler

Compiled 768 to 575 computations (25.1% saved)

regimes236.0ms (2.6%)

Counts

3 → 10

Calls

Call 1

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

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

Calls

3 calls:

100.0ms	z
71.0ms	y
63.0ms	x

Results

Error	Segments	Branch
21.1b	5	`x`
22.6b	7	`y`
19.1b	10	`z`

Compiler

Compiled 23 to 15 computations (34.8% saved)

bsearch263.0ms (2.9%)

Algorithm

9×	binary-search

Steps

Time	Left	Right
41.0ms	3.4559196102696155e+146	1.1201829969602602e+155
25.0ms	9.391922867859967e-46	4.4263927994336875e-42
22.0ms	2.652616809123202e-176	2.816988423008067e-175
27.0ms	2.9335449570904935e-238	3.015693160221185e-235
48.0ms	-4.6921644490317204e-110	-1.0333095584892882e-112
17.0ms	-9.866152208787134e-64	-7.987746292513858e-65
19.0ms	-0.060871956652361704	-0.025526103445537678
23.0ms	-7639803.680405977	-27330.339370041158
40.0ms	-6.702173487608297e+36	-9.154048520072267e+28

Results

193.0ms	1072×	body	256	valid
18.0ms	90×	body	256	infinite

Compiler

Compiled 898 to 666 computations (25.8% saved)

regimes112.0ms (1.2%)

Accuracy

Total -40.1b remaining (-184.1%)

Threshold costs -40.1b (-184.1%)

Counts

2 → 7

Calls

Call 1

Inputs
x
(*.f64 z y)

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

Calls

3 calls:

47.0ms	z
41.0ms	y
22.0ms	x

Results

Error	Segments	Branch
22.5b	3	`x`
22.6b	7	`y`
21.8b	7	`z`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch114.0ms (1.3%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
21.0ms	9.391922867859967e-46	4.4263927994336875e-42
15.0ms	2.652616809123202e-176	2.816988423008067e-175
19.0ms	2.9335449570904935e-238	3.015693160221185e-235
21.0ms	-4.6921644490317204e-110	-1.0333095584892882e-112
24.0ms	-9.866152208787134e-64	-7.987746292513858e-65
13.0ms	-0.060871956652361704	-0.025526103445537678

Results

97.0ms

656×

body

256

valid

Compiler

Compiled 508 to 380 computations (25.2% saved)

simplify15.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	554

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (.f64 z y) (.f64 (+.f64 -1 z) (neg.f64 x)))
(+.f64 x (*.f64 (-.f64 y x) z))
(if (<=.f64 z -27500) (.f64 (-.f64 y x) z) (if (<=.f64 z 1) (+.f64 x (.f64 z y)) (*.f64 (-.f64 y x) z)))
(if (<=.f64 x -1699999999999999995101052928) (.f64 x (-.f64 1 z)) (if (<=.f64 x -7709489559716993/3351951982485649274893506249551461531869841455148098344430890360930441007518386744200468574541725856922507964546621512713438470702986642486608412251521024) (.f64 (-.f64 y x) z) (if (<=.f64 x -3486658190770977/112472844863579909570263462692149546471742427957547915827518889315295939516787196757976017152597271428748022765838022378080206651387357492225212879521629096378368) (.f64 x (-.f64 1 z)) (if (<=.f64 x 1018517988167243/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672) (.f64 (-.f64 y x) z) (*.f64 x (-.f64 1 z))))))
(if (<=.f64 y -260000000000000005004413769769965853241720221069300688521332975884786728960) (.f64 z y) (if (<=.f64 y -2799999999999999927253991424) (.f64 x (-.f64 1 z)) (if (<=.f64 y -1950000000000000000) (.f64 z y) (if (<=.f64 y 6576757367989063/182687704666362864775460604089535377456991567872) (.f64 x (-.f64 1 z)) (if (<=.f64 y 15999999999999999035346661945650857377792) (.f64 z y) (if (<=.f64 y 175000000000000004461824145319970911754562543830035375513474695168) (.f64 x (-.f64 1 z)) (*.f64 z y)))))))
(if (<=.f64 z -8600000000000000002122787586048) (.f64 z y) (if (<=.f64 z -7600000) (.f64 z (neg.f64 x)) (if (<=.f64 z -7493989779944505/288230376151711744) (.f64 z y) (if (<=.f64 z -2667849736027765/29642774844752946028434172162224104410437116074403984394101141506025761187823616) x (if (<=.f64 z -465383402028335/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192) (.f64 z y) (if (<=.f64 z 1073958896942811/3579862989809370150552347991709354811340217396521331566180181212788883000669113019918160533228078546928669938652374965009299607594634172087555628255195572452564109288497401512783350157684872347030630001028968155934491319200842197951919848388309286912) x (if (<=.f64 z 891101683129335/17822033662586700072817076584766762987864173856439687228824970773044043621908896041038721919208482030385321521771853153557377752817872804680674458280164899172859354196719784961261227313463296) (.f64 z y) (if (<=.f64 z 1968499104217263/401734511064747568885490523085290650630550748445698208825344) x (if (<=.f64 z 110000000000000011507058562473419478732976770901436004752438097511792917535279055179127954487954226462107988599498470682665928285010969485275828793945096192) (.f64 z y) (*.f64 z (neg.f64 x)))))))))))
(if (<=.f64 z -7493989779944505/288230376151711744) (.f64 z y) (if (<=.f64 z -1222764462346059/3705346855594118253554271520278013051304639509300498049262642688253220148477952) x (if (<=.f64 z -5415370496329717/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (.f64 z y) (if (<=.f64 z 1073958896942811/3579862989809370150552347991709354811340217396521331566180181212788883000669113019918160533228078546928669938652374965009299607594634172087555628255195572452564109288497401512783350157684872347030630001028968155934491319200842197951919848388309286912) x (if (<=.f64 z 3849559271118727/142576269300693600582536612678134103902913390851517497830599766184352348975271168328309775353667856243082572174174825228459022022542982437445395666241319193382874833573758279690089818507706368) (.f64 z y) (if (<=.f64 z 451951324947841/25108406941546723055343157692830665664409421777856138051584) x (.f64 z y)))))))
x

Outputs
(+.f64 (.f64 z y) (.f64 (+.f64 -1 z) (neg.f64 x)))
(+.f64 x (*.f64 (-.f64 y x) z))
(if (<=.f64 z -27500) (.f64 (-.f64 y x) z) (if (<=.f64 z 1) (+.f64 x (.f64 z y)) (*.f64 (-.f64 y x) z)))
(if (<=.f64 x -1699999999999999995101052928) (.f64 x (-.f64 1 z)) (if (<=.f64 x -7709489559716993/3351951982485649274893506249551461531869841455148098344430890360930441007518386744200468574541725856922507964546621512713438470702986642486608412251521024) (.f64 (-.f64 y x) z) (if (<=.f64 x -3486658190770977/112472844863579909570263462692149546471742427957547915827518889315295939516787196757976017152597271428748022765838022378080206651387357492225212879521629096378368) (.f64 x (-.f64 1 z)) (if (<=.f64 x 1018517988167243/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672) (.f64 (-.f64 y x) z) (*.f64 x (-.f64 1 z))))))
(if (<=.f64 y -260000000000000005004413769769965853241720221069300688521332975884786728960) (.f64 z y) (if (<=.f64 y -2799999999999999927253991424) (.f64 x (-.f64 1 z)) (if (<=.f64 y -1950000000000000000) (.f64 z y) (if (<=.f64 y 6576757367989063/182687704666362864775460604089535377456991567872) (.f64 x (-.f64 1 z)) (if (<=.f64 y 15999999999999999035346661945650857377792) (.f64 z y) (if (<=.f64 y 175000000000000004461824145319970911754562543830035375513474695168) (.f64 x (-.f64 1 z)) (*.f64 z y)))))))
(if (<=.f64 z -8600000000000000002122787586048) (.f64 z y) (if (<=.f64 z -7600000) (.f64 z (neg.f64 x)) (if (<=.f64 z -7493989779944505/288230376151711744) (.f64 z y) (if (<=.f64 z -2667849736027765/29642774844752946028434172162224104410437116074403984394101141506025761187823616) x (if (<=.f64 z -465383402028335/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192) (.f64 z y) (if (<=.f64 z 1073958896942811/3579862989809370150552347991709354811340217396521331566180181212788883000669113019918160533228078546928669938652374965009299607594634172087555628255195572452564109288497401512783350157684872347030630001028968155934491319200842197951919848388309286912) x (if (<=.f64 z 891101683129335/17822033662586700072817076584766762987864173856439687228824970773044043621908896041038721919208482030385321521771853153557377752817872804680674458280164899172859354196719784961261227313463296) (.f64 z y) (if (<=.f64 z 1968499104217263/401734511064747568885490523085290650630550748445698208825344) x (if (<=.f64 z 110000000000000011507058562473419478732976770901436004752438097511792917535279055179127954487954226462107988599498470682665928285010969485275828793945096192) (.f64 z y) (*.f64 z (neg.f64 x)))))))))))
(if (<=.f64 z -7493989779944505/288230376151711744) (.f64 z y) (if (<=.f64 z -1222764462346059/3705346855594118253554271520278013051304639509300498049262642688253220148477952) x (if (<=.f64 z -5415370496329717/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (.f64 z y) (if (<=.f64 z 1073958896942811/3579862989809370150552347991709354811340217396521331566180181212788883000669113019918160533228078546928669938652374965009299607594634172087555628255195572452564109288497401512783350157684872347030630001028968155934491319200842197951919848388309286912) x (if (<=.f64 z 3849559271118727/142576269300693600582536612678134103902913390851517497830599766184352348975271168328309775353667856243082572174174825228459022022542982437445395666241319193382874833573758279690089818507706368) (.f64 z y) (if (<=.f64 z 451951324947841/25108406941546723055343157692830665664409421777856138051584) x (.f64 z y)))))))
x

Compiler

Compiled 258 to 143 computations (44.6% saved)

soundness449.0ms (5%)

Algorithm

1×	egg-herbie

Rules

1230×	`rational_best.json-simplify-80`
1228×	`rational_best.json-simplify-129`
1120×	`rational_best.json-simplify-78`
872×	`rational_best.json-simplify-2`
760×	`rational_best.json-simplify-132`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	96	2082
1	186	1890
2	629	1836
3	1600	1836
4	4467	1836

Stop Event

1×	node limit

Compiler

Compiled 79 to 46 computations (41.8% saved)

end167.0ms (1.9%)

Compiler: Compiled 237 to 113 computations (52.3% saved)

Details

analyze404.0ms (4.5%)

sample1.6s (17.5%)

preprocess33.0ms (0.4%)

simplify27.0ms (0.3%)

eval1.0ms (0%)

prune1.0ms (0%)

localize14.0ms (0.2%)

series7.0ms (0.1%)

rewrite202.0ms (2.2%)

simplify312.0ms (3.5%)

eval23.0ms (0.3%)

prune31.0ms (0.3%)

localize22.0ms (0.2%)

series9.0ms (0.1%)

rewrite210.0ms (2.3%)

simplify231.0ms (2.6%)

localize9.0ms (0.1%)

localize11.0ms (0.1%)

series1.0ms (0%)

rewrite164.0ms (1.8%)

simplify532.0ms (5.9%)

localize15.0ms (0.2%)

localize11.0ms (0.1%)

series5.0ms (0.1%)

rewrite155.0ms (1.7%)

simplify220.0ms (2.4%)

eval126.0ms (1.4%)

prune202.0ms (2.2%)

localize12.0ms (0.1%)

series11.0ms (0.1%)

rewrite137.0ms (1.5%)

simplify355.0ms (3.9%)

localize7.0ms (0.1%)

localize9.0ms (0.1%)

localize15.0ms (0.2%)

series3.0ms (0%)

rewrite203.0ms (2.3%)

simplify487.0ms (5.4%)

eval14.0ms (0.2%)

prune20.0ms (0.2%)

eval0.0ms (0%)

prune6.0ms (0.1%)

regimes209.0ms (2.3%)

regimes57.0ms (0.6%)

regimes124.0ms (1.4%)

bsearch55.0ms (0.6%)

regimes588.0ms (6.5%)

bsearch88.0ms (1%)

regimes342.0ms (3.8%)

bsearch349.0ms (3.9%)

regimes236.0ms (2.6%)

bsearch263.0ms (2.9%)

regimes112.0ms (1.2%)

bsearch114.0ms (1.3%)

simplify15.0ms (0.2%)

soundness449.0ms (5%)

end167.0ms (1.9%)

Profiling