Details

analyze927.0ms (9.2%)

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
0%	0%	99.9%	0.1%	0%	0%	0%	7
0%	0%	99.9%	0.1%	0%	0%	0%	8
16%	15.6%	81.9%	0.1%	2.3%	0%	0%	9
22%	21.1%	74.5%	0.1%	4.3%	0%	0%	10
26.6%	25.4%	69.8%	0.1%	4.7%	0%	0%	11
43.2%	39.2%	51.6%	0.1%	9.1%	0%	0%	12

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample2.3s (22.8%)

Results

1.9s	8256×	body	256	valid
362.0ms	1243×	body	256	infinite

Bogosity

preprocess28.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

16×	`rational.json-simplify-1`
14×	`rational.json-simplify-2`
8×	`rational.json-simplify-17`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	148
1	51	148
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(+.f64 1 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y))
(+.f64 1 (/.f64 (.f64 4 (-.f64 (+.f64 y (.f64 x 1/4)) z)) x))
(+.f64 1 (/.f64 (.f64 4 (-.f64 (+.f64 z (.f64 y 1/4)) x)) y))
(+.f64 1 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 z 1/4)) y)) z))

Outputs
(+.f64 1 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y))
(+.f64 1 (/.f64 (.f64 4 (-.f64 (+.f64 y (.f64 x 1/4)) z)) x))
(+.f64 1 (/.f64 (.f64 4 (-.f64 (+.f64 z (.f64 y 1/4)) x)) y))
(+.f64 1 (/.f64 (.f64 4 (-.f64 (+.f64 (.f64 y 1/4) z) x)) y))
(+.f64 1 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 z 1/4)) y)) z))
(+.f64 1 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 1/4 z)) y)) z))

Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify21.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`rational.json-simplify-2`
4×	`rational.json-simplify-1`
2×	`rational.json-simplify-17`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	37
1	20	37

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(+.f64 1 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y))

Outputs
(+.f64 1 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y))

eval1.0ms (0%)

Compiler: Compiled 16 to 12 computations (25% 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

0.3b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(+.f64 1 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y))

Compiler

Compiled 16 to 12 computations (25% saved)

localize33.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y))
✓	0.3b	(/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y)

Compiler

Compiled 57 to 37 computations (35.1% saved)

series11.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	z	@	0	(/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y)
1.0ms	y	@	-inf	(/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y)
1.0ms	x	@	inf	(/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y)
1.0ms	x	@	0	(/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y)
1.0ms	x	@	-inf	(/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y)

rewrite165.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

838×	`rational.json-simplify-54`
796×	`rational.json-simplify-47`
704×	`rational.json-simplify-58`
586×	`rational.json-5`
584×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	68
1	118	68
2	353	68
3	1280	68
4	5005	68

Stop Event

1×	node limit

Counts

2 → 40

Calls

Call 1

Inputs
(/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y)
(+.f64 1 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y))

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

Outputs

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simplify367.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

1012×	`rational.json-simplify-111`
1006×	`rational.json-simplify-49`
830×	`rational.json-simplify-2`
820×	`rational.json-simplify-54`
678×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	116	3592
1	251	3484
2	595	3484
3	1789	3484
4	5225	3484
5	7988	3484

Stop Event

1×	node limit

Counts

112 → 83

Calls

Call 1

Inputs
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1
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1
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Outputs
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eval99.0ms (1%)

Compiler: Compiled 2252 to 1546 computations (31.3% saved)

prune107.0ms (1.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	78	5	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	79	5	84

Error

0.0b

Counts

84 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 (*.f64 4 (/.f64 (-.f64 x z) y)) 2)
▶	0.0b	(+.f64 (*.f64 4 (+.f64 (/.f64 x y) (-.f64 1/4 (/.f64 z y)))) 1)
▶	41.2b	(+.f64 1 (*.f64 (/.f64 z y) -4))
▶	40.8b	(+.f64 1 (*.f64 4 (/.f64 x y)))
	35.3b	2

Compiler

Compiled 52 to 41 computations (21.2% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (*.f64 4 (/.f64 x y)))
✓	0.0b	(*.f64 4 (/.f64 x y))

Compiler

Compiled 22 to 12 computations (45.5% saved)

series5.0ms (0%)

Counts

2 → 6

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(*.f64 4 (/.f64 x y))
1.0ms	x	@	0	(*.f64 4 (/.f64 x y))
1.0ms	x	@	inf	(*.f64 4 (/.f64 x y))
0.0ms	y	@	0	(*.f64 4 (/.f64 x y))
0.0ms	x	@	inf	(+.f64 1 (*.f64 4 (/.f64 x y)))

rewrite85.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1624×	`rational.json-5`
1622×	`exponential.json-3`
1622×	`rational.json-1`
1622×	`rational.json-2`
1622×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	77	32
2	236	32
3	834	32
4	3203	32

Stop Event

1×	node limit

Counts

2 → 27

Calls

Call 1

Inputs
(*.f64 4 (/.f64 x y))
(+.f64 1 (*.f64 4 (/.f64 x y)))

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

Outputs

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

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

simplify192.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1502×	`rational.json-simplify-49`
1176×	`rational.json-simplify-2`
886×	`rational.json-simplify-54`
704×	`rational.json-simplify-41`
490×	`rational.json-simplify-111`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	501
1	100	501
2	265	501
3	894	501
4	2835	501
5	6916	501

Stop Event

1×	node limit

Counts

33 → 30

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (/.f64 z y) -4)

Compiler

Compiled 22 to 12 computations (45.5% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(*.f64 (/.f64 z y) -4)
0.0ms	y	@	0	(*.f64 (/.f64 z y) -4)
0.0ms	y	@	inf	(*.f64 (/.f64 z y) -4)
0.0ms	z	@	inf	(*.f64 (/.f64 z y) -4)
0.0ms	y	@	-inf	(*.f64 (/.f64 z y) -4)

rewrite74.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1386×	`rational.json-5`
1384×	`exponential.json-3`
1384×	`rational.json-1`
1384×	`rational.json-2`
1384×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	58	13
2	191	13
3	699	13
4	2716	13

Stop Event

1×	node limit

Counts

1 → 9

Calls

Call 1

Inputs
(*.f64 (/.f64 z y) -4)

Outputs

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

simplify167.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1800×	`rational.json-simplify-47`
824×	`rational.json-simplify-1`
734×	`rational.json-simplify-111`
686×	`rational.json-simplify-104`
674×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	429
1	47	429
2	114	429
3	348	429
4	1337	429
5	3423	429
6	6415	429

Stop Event

1×	node limit

Counts

33 → 10

Calls

Call 1

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

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

localize17.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 4 (+.f64 (/.f64 x y) (-.f64 1/4 (/.f64 z y)))) 1)
✓	0.0b	(+.f64 (/.f64 x y) (-.f64 1/4 (/.f64 z y)))

Compiler

Compiled 53 to 25 computations (52.8% saved)

series4.0ms (0%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	y	@	-inf	(+.f64 (/.f64 x y) (-.f64 1/4 (/.f64 z y)))
0.0ms	x	@	0	(+.f64 (/.f64 x y) (-.f64 1/4 (/.f64 z y)))
0.0ms	x	@	0	(+.f64 (*.f64 4 (+.f64 (/.f64 x y) (-.f64 1/4 (/.f64 z y)))) 1)
0.0ms	z	@	0	(+.f64 (/.f64 x y) (-.f64 1/4 (/.f64 z y)))
0.0ms	y	@	-inf	(+.f64 (*.f64 4 (+.f64 (/.f64 x y) (-.f64 1/4 (/.f64 z y)))) 1)

rewrite183.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

738×	`rational.json-simplify-54`
720×	`rational.json-simplify-47`
652×	`rational.json-simplify-58`
568×	`rational.json-5`
566×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	62
1	115	62
2	338	62
3	1234	62
4	4821	62

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

Inputs
(+.f64 (/.f64 x y) (-.f64 1/4 (/.f64 z y)))
(+.f64 (*.f64 4 (+.f64 (/.f64 x y) (-.f64 1/4 (/.f64 z y)))) 1)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x y) (-.f64 (/.f64 z y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1/4 (-.f64 (/.f64 z y) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1/4 (+.f64 (/.f64 z y) (neg.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1/4 (/.f64 z y)) (neg.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1/4 (-.f64 (/.f64 z y) (/.f64 x y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (-.f64 (/.f64 z y) (/.f64 x y)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (-.f64 (/.f64 z y) 1/4) (neg.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 x y) -1/4) (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 x y) 1/4) (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 (/.f64 z y) 5/4)) (-.f64 1 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 x y) (-.f64 (/.f64 z y) 5/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (/.f64 x y))) (-.f64 (/.f64 z y) -3/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 (-.f64 (/.f64 z y) 5/4) (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (-.f64 1/4 (/.f64 z y)) (-.f64 -1 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/4 (-.f64 (/.f64 z y) (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/4 (-.f64 (/.f64 z y) (/.f64 x y))) (/.f64 (-.f64 1/4 (-.f64 (/.f64 z y) (/.f64 x y))) (-.f64 1/4 (-.f64 (/.f64 z y) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1/4 (-.f64 (/.f64 z y) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1/4 (-.f64 (/.f64 z y) (/.f64 x y))) (-.f64 1/4 (-.f64 (/.f64 z y) (/.f64 x y)))) (-.f64 1/4 (-.f64 (/.f64 z y) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1/4 (-.f64 (/.f64 z y) (/.f64 x y))) (-.f64 1/4 (-.f64 (/.f64 z y) (/.f64 x y)))) (/.f64 1 (-.f64 1/4 (-.f64 (/.f64 z y) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1/4 (-.f64 (/.f64 z y) (/.f64 x y))) (-.f64 1/4 (-.f64 (/.f64 z y) (/.f64 x y)))) (*.f64 (/.f64 1 (-.f64 1/4 (-.f64 (/.f64 z y) (/.f64 x y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1/4 (-.f64 (/.f64 z y) (/.f64 x y))) (-.f64 1/4 (-.f64 (/.f64 z y) (/.f64 x y)))) (/.f64 (/.f64 (-.f64 1/4 (-.f64 (/.f64 z y) (/.f64 x y))) (-.f64 1/4 (-.f64 (/.f64 z y) (/.f64 x y)))) (-.f64 1/4 (-.f64 (/.f64 z y) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1/4 (-.f64 (/.f64 z y) (/.f64 x y)))) (*.f64 (-.f64 1/4 (-.f64 (/.f64 z y) (/.f64 x y))) (-.f64 1/4 (-.f64 (/.f64 z y) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (-.f64 1/4 (-.f64 (/.f64 z y) (/.f64 x y))) (-.f64 1/4 (-.f64 (/.f64 z y) (/.f64 x y)))) (*.f64 (-.f64 1/4 (-.f64 (/.f64 z y) (/.f64 x y))) (-.f64 1/4 (-.f64 (/.f64 z y) (/.f64 x y))))) (/.f64 (/.f64 1 (-.f64 1/4 (-.f64 (/.f64 z y) (/.f64 x y)))) (*.f64 (-.f64 1/4 (-.f64 (/.f64 z y) (/.f64 x y))) (-.f64 1/4 (-.f64 (/.f64 z y) (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (-.f64 1/4 (-.f64 (/.f64 z y) (/.f64 x y))) (-.f64 1/4 (-.f64 (/.f64 z y) (/.f64 x y)))) (*.f64 (-.f64 1/4 (-.f64 (/.f64 z y) (/.f64 x y))) (-.f64 1/4 (-.f64 (/.f64 z y) (/.f64 x y))))) (/.f64 (*.f64 (/.f64 1 (-.f64 1/4 (-.f64 (/.f64 z y) (/.f64 x y)))) 1) (*.f64 (-.f64 1/4 (-.f64 (/.f64 z y) (/.f64 x y))) (-.f64 1/4 (-.f64 (/.f64 z y) (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (*.f64 (-.f64 1/4 (-.f64 (/.f64 z y) (/.f64 x y))) (-.f64 1/4 (-.f64 (/.f64 z y) (/.f64 x y)))) (*.f64 (-.f64 1/4 (-.f64 (/.f64 z y) (/.f64 x y))) (-.f64 1/4 (-.f64 (/.f64 z y) (/.f64 x y))))) (*.f64 (*.f64 (-.f64 1/4 (-.f64 (/.f64 z y) (/.f64 x y))) (-.f64 1/4 (-.f64 (/.f64 z y) (/.f64 x y)))) (*.f64 (-.f64 1/4 (-.f64 (/.f64 z y) (/.f64 x y))) (-.f64 1/4 (-.f64 (/.f64 z y) (/.f64 x y)))))) (/.f64 (/.f64 (/.f64 1 (-.f64 1/4 (-.f64 (/.f64 z y) (/.f64 x y)))) (*.f64 (-.f64 1/4 (-.f64 (/.f64 z y) (/.f64 x y))) (-.f64 1/4 (-.f64 (/.f64 z y) (/.f64 x y))))) (*.f64 (*.f64 (-.f64 1/4 (-.f64 (/.f64 z y) (/.f64 x y))) (-.f64 1/4 (-.f64 (/.f64 z y) (/.f64 x y)))) (*.f64 (-.f64 1/4 (-.f64 (/.f64 z y) (/.f64 x y))) (-.f64 1/4 (-.f64 (/.f64 z y) (/.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (-.f64 (/.f64 z y) (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (-.f64 (/.f64 z y) (/.f64 x y))) (/.f64 (-.f64 1/4 (-.f64 (/.f64 z y) (/.f64 x y))) (-.f64 1/4 (-.f64 (/.f64 z y) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1/4 (-.f64 (/.f64 z y) (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (-.f64 (/.f64 z y) (/.f64 x y)) 1/4))))))

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

simplify234.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1412×	`rational.json-simplify-49`
1178×	`rational.json-simplify-2`
1030×	`rational.json-simplify-54`
946×	`rational.json-simplify-50`
518×	`rational.json-simplify-44`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	146	3675
1	331	3425
2	909	3425
3	2602	3413
4	7578	3413

Stop Event

1×	node limit

Counts

123 → 95

Calls

Call 1

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 4 (/.f64 (-.f64 x z) y)) 2)
✓	0.0b	(/.f64 (-.f64 x z) y)

Compiler

Compiled 32 to 13 computations (59.4% saved)

series8.0ms (0.1%)

Counts

2 → 60

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	z	@	0	(+.f64 (*.f64 4 (/.f64 (-.f64 x z) y)) 2)
0.0ms	x	@	-inf	(/.f64 (-.f64 x z) y)
0.0ms	y	@	-inf	(/.f64 (-.f64 x z) y)
0.0ms	x	@	0	(/.f64 (-.f64 x z) y)
0.0ms	z	@	inf	(+.f64 (*.f64 4 (/.f64 (-.f64 x z) y)) 2)

rewrite93.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1988×	`rational.json-5`
1986×	`rational.json-1`
1986×	`rational.json-2`
1986×	`rational.json-4`
1986×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	38
1	90	38
2	277	38
3	1003	38
4	3904	38

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

Inputs
(/.f64 (-.f64 x z) y)
(+.f64 (*.f64 4 (/.f64 (-.f64 x z) y)) 2)

Outputs

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

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

simplify190.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

960×	`rational.json-simplify-55`
796×	`rational.json-simplify-47`
754×	`rational.json-simplify-104`
656×	`rational.json-simplify-1`
630×	`exponential.json-simplify-26`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	64	1930
1	120	1888
2	228	1888
3	819	1888
4	3878	1888
5	6508	1888

Stop Event

1×	node limit

Counts

82 → 42

Calls

Call 1

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

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

eval148.0ms (1.5%)

Compiler: Compiled 3453 to 1783 computations (48.4% saved)

prune39.0ms (0.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	170	7	177
Fresh	0	1	1
Picked	0	1	1
Done	3	0	3
Total	173	9	182

Error

0.0b

Counts

182 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 (*.f64 4 (/.f64 (-.f64 x z) y)) 2)
	17.6b	(+.f64 (*.f64 4 (/.f64 x y)) 2)
▶	0.0b	(+.f64 (*.f64 4 (+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))) 2)
▶	18.1b	(+.f64 2 (*.f64 (/.f64 z y) -4))
▶	28.7b	(*.f64 (/.f64 (-.f64 x z) y) 4)
▶	45.8b	(*.f64 (/.f64 z y) -4)
▶	45.3b	(*.f64 (/.f64 x y) 4)
	35.3b	2
	57.3b	1

Compiler

Compiled 142 to 109 computations (23.2% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 4 (+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))) 2)
✓	0.0b	(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))

Compiler

Compiled 48 to 15 computations (68.8% saved)

series7.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(+.f64 (*.f64 4 (+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))) 2)
1.0ms	z	@	inf	(+.f64 (*.f64 4 (+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))) 2)
1.0ms	x	@	0	(+.f64 (*.f64 4 (+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))) 2)
1.0ms	y	@	-inf	(+.f64 (*.f64 4 (+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))) 2)
0.0ms	z	@	-inf	(+.f64 (*.f64 4 (+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))) 2)

rewrite285.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

810×	`rational.json-simplify-47`
782×	`rational.json-simplify-54`
692×	`rational.json-simplify-58`
594×	`rational.json-5`
592×	`exponential.json-3`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	14	58
1	119	58
2	363	58
3	1282	58
4	5089	50

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

Inputs
(+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))
(+.f64 (*.f64 4 (+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))) 2)

Outputs

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

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

simplify375.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

1390×	`rational.json-simplify-49`
1072×	`rational.json-simplify-2`
1038×	`rational.json-simplify-1`
1028×	`rational.json-simplify-54`
926×	`rational.json-simplify-50`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	145	3221
1	349	2959
2	843	2959
3	2548	2945
4	7230	2945

Stop Event

1×	node limit

Counts

129 → 88

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (/.f64 x y) 4)

Compiler

Compiled 14 to 7 computations (50% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 (/.f64 x y) 4)
0.0ms	x	@	inf	(*.f64 (/.f64 x y) 4)
0.0ms	x	@	-inf	(*.f64 (/.f64 x y) 4)
0.0ms	y	@	-inf	(*.f64 (/.f64 x y) 4)
0.0ms	y	@	inf	(*.f64 (/.f64 x y) 4)

rewrite76.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1382×	`rational.json-5`
1380×	`exponential.json-3`
1380×	`rational.json-1`
1380×	`rational.json-2`
1380×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	58	13
2	191	13
3	698	13
4	2705	13

Stop Event

1×	node limit

Counts

1 → 12

Calls

Call 1

Inputs
(*.f64 (/.f64 x y) 4)

Outputs

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

simplify243.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1214×	`rational.json-simplify-104`
1054×	`rational.json-simplify-79`
970×	`rational.json-simplify-73`
966×	`rational.json-simplify-2`
938×	`rational.json-simplify-47`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	492
1	58	492
2	103	492
3	248	492
4	632	492
5	1951	492
6	3356	492
7	5001	492
8	5977	492
9	7466	492

Stop Event

1×	node limit

Counts

36 → 13

Calls

Call 1

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

Outputs
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(*.f64 4 (/.f64 x y))
(+.f64 (/.f64 x y) (*.f64 (/.f64 x y) 3))
(+.f64 (*.f64 (/.f64 x y) 4) 0)
(*.f64 4 (/.f64 x y))
(+.f64 0 (*.f64 (/.f64 x y) 4))
(*.f64 4 (/.f64 x y))
(+.f64 (.f64 (/.f64 x y) 2) (.f64 (/.f64 x y) 2))
(*.f64 4 (/.f64 x y))
(+.f64 (*.f64 (/.f64 x y) 3) (/.f64 x y))
(+.f64 (/.f64 x y) (*.f64 (/.f64 x y) 3))
(-.f64 (*.f64 (/.f64 x y) 4) 0)
(*.f64 4 (/.f64 x y))
(-.f64 0 (neg.f64 (*.f64 (/.f64 x y) 4)))
(*.f64 4 (/.f64 x y))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (/.f64 x y) 4))) 1)
(*.f64 4 (/.f64 x y))
(/.f64 (*.f64 (/.f64 x y) 4) 1)
(*.f64 4 (/.f64 x y))
(/.f64 (*.f64 (/.f64 x y) 4) (/.f64 (/.f64 x y) (/.f64 x y)))
(*.f64 4 (/.f64 x y))
(pow.f64 (*.f64 (/.f64 x y) 4) 1)
(*.f64 4 (/.f64 x y))
(neg.f64 (neg.f64 (*.f64 (/.f64 x y) 4)))
(*.f64 4 (/.f64 x y))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (/.f64 z y) -4)

Compiler

Compiled 14 to 7 computations (50% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 22 to 8 computations (63.6% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (/.f64 z y) -4)

Compiler

Compiled 22 to 12 computations (45.5% saved)

eval255.0ms (2.5%)

Compiler: Compiled 2436 to 1022 computations (58% saved)

prune154.0ms (1.5%)

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	138	1	139
Fresh	0	3	3
Picked	0	1	1
Done	1	4	5
Total	139	9	148

Error

0.0b

Counts

148 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 (*.f64 4 (/.f64 (-.f64 x z) y)) 2)
▶	17.6b	(+.f64 (*.f64 4 (/.f64 x y)) 2)
✓	18.1b	(+.f64 2 (*.f64 (/.f64 z y) -4))
✓	28.7b	(*.f64 (/.f64 (-.f64 x z) y) 4)
✓	45.8b	(*.f64 (/.f64 z y) -4)
✓	45.3b	(*.f64 (/.f64 x y) 4)
▶	28.7b	(*.f64 (+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y)) 4)
	35.3b	2
	57.3b	1

Compiler

Compiled 79 to 61 computations (22.8% saved)

localize74.0ms (0.7%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 35 to 10 computations (71.4% saved)

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 4 (/.f64 x y)) 2)
	0.0b	(*.f64 4 (/.f64 x y))

Compiler

Compiled 22 to 12 computations (45.5% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+.f64 (*.f64 4 (/.f64 x y)) 2)
0.0ms	x	@	-inf	(+.f64 (*.f64 4 (/.f64 x y)) 2)
0.0ms	x	@	inf	(+.f64 (*.f64 4 (/.f64 x y)) 2)
0.0ms	y	@	0	(+.f64 (*.f64 4 (/.f64 x y)) 2)
0.0ms	y	@	-inf	(+.f64 (*.f64 4 (/.f64 x y)) 2)

rewrite189.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1594×	`rational.json-5`
1592×	`exponential.json-3`
1592×	`rational.json-1`
1592×	`rational.json-2`
1592×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	74	19
2	224	19
3	803	19
4	3135	19

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

Inputs
(+.f64 (*.f64 4 (/.f64 x y)) 2)

Outputs

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

simplify227.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1624×	`rational.json-simplify-49`
1472×	`rational.json-simplify-50`
1024×	`rational.json-simplify-43`
1020×	`rational.json-simplify-58`
1010×	`rational.json-simplify-54`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	745
1	91	745
2	183	745
3	452	745
4	2113	745
5	7090	745

Stop Event

1×	node limit

Counts

43 → 22

Calls

Call 1

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

Outputs
2
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 x y))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 x y))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(*.f64 4 (/.f64 x y))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
2
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
2
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(-.f64 (*.f64 4 (/.f64 x y)) -2)
(+.f64 2 (*.f64 4 (/.f64 x y)))
(-.f64 2 (neg.f64 (*.f64 4 (/.f64 x y))))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(-.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) 0)
(+.f64 2 (*.f64 4 (/.f64 x y)))
(-.f64 0 (-.f64 -2 (*.f64 4 (/.f64 x y))))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 4 (/.f64 x y)))) -1)
(+.f64 2 (*.f64 4 (/.f64 x y)))
(-.f64 (-.f64 0 (-.f64 -3 (*.f64 4 (/.f64 x y)))) 1)
(+.f64 2 (*.f64 4 (/.f64 x y)))
(-.f64 (-.f64 2 (-.f64 -1 (*.f64 4 (/.f64 x y)))) 1)
(+.f64 2 (*.f64 4 (/.f64 x y)))
(.f64 (+.f64 (.f64 4 (/.f64 x y)) 2) 1)
(+.f64 2 (*.f64 4 (/.f64 x y)))
(.f64 (+.f64 (.f64 4 (/.f64 x y)) 2) (/.f64 (+.f64 (.f64 4 (/.f64 x y)) 2) (+.f64 (.f64 4 (/.f64 x y)) 2)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(.f64 1 (+.f64 (.f64 4 (/.f64 x y)) 2))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(.f64 (/.f64 (+.f64 (.f64 4 (/.f64 x y)) 2) (+.f64 (.f64 4 (/.f64 x y)) 2)) (+.f64 (.f64 4 (/.f64 x y)) 2))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(.f64 (.f64 (-.f64 -2 (.f64 4 (/.f64 x y))) (-.f64 -2 (.f64 4 (/.f64 x y)))) (/.f64 1 (+.f64 (*.f64 4 (/.f64 x y)) 2)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(.f64 (/.f64 1 (+.f64 (.f64 4 (/.f64 x y)) 2)) (.f64 (-.f64 -2 (.f64 4 (/.f64 x y))) (-.f64 -2 (*.f64 4 (/.f64 x y)))))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(.f64 (.f64 (+.f64 (.f64 4 (/.f64 x y)) 2) (.f64 (+.f64 (.f64 4 (/.f64 x y)) 2) (.f64 (-.f64 -2 (.f64 4 (/.f64 x y))) (-.f64 -2 (.f64 4 (/.f64 x y)))))) (/.f64 (/.f64 1 (+.f64 (.f64 4 (/.f64 x y)) 2)) (.f64 (-.f64 -2 (.f64 4 (/.f64 x y))) (-.f64 -2 (.f64 4 (/.f64 x y))))))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(.f64 (/.f64 (/.f64 1 (+.f64 (.f64 4 (/.f64 x y)) 2)) (.f64 (-.f64 -2 (.f64 4 (/.f64 x y))) (-.f64 -2 (.f64 4 (/.f64 x y))))) (.f64 (+.f64 (.f64 4 (/.f64 x y)) 2) (.f64 (+.f64 (.f64 4 (/.f64 x y)) 2) (.f64 (-.f64 -2 (.f64 4 (/.f64 x y))) (-.f64 -2 (.f64 4 (/.f64 x y)))))))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(/.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) 1)
(+.f64 2 (*.f64 4 (/.f64 x y)))
(/.f64 (+.f64 (.f64 4 (/.f64 x y)) 2) (/.f64 (+.f64 (.f64 4 (/.f64 x y)) 2) (+.f64 (*.f64 4 (/.f64 x y)) 2)))
(+.f64 2 (*.f64 4 (/.f64 x y)))
(pow.f64 (+.f64 (*.f64 4 (/.f64 x y)) 2) 1)
(+.f64 2 (*.f64 4 (/.f64 x y)))
(neg.f64 (-.f64 -2 (*.f64 4 (/.f64 x y))))
(+.f64 2 (*.f64 4 (/.f64 x y)))

eval83.0ms (0.8%)

Compiler: Compiled 1298 to 546 computations (57.9% saved)

prune20.0ms (0.2%)

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	0	2	2
Picked	0	1	1
Done	1	5	6
Total	76	9	85

Error

0.0b

Counts

85 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 (*.f64 4 (/.f64 (-.f64 x z) y)) 2)
✓	17.6b	(+.f64 (*.f64 4 (/.f64 x y)) 2)
✓	18.1b	(+.f64 2 (*.f64 (/.f64 z y) -4))
✓	28.7b	(*.f64 (/.f64 (-.f64 x z) y) 4)
✓	45.8b	(*.f64 (/.f64 z y) -4)
✓	45.3b	(*.f64 (/.f64 x y) 4)
	28.7b	(*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) 4)
	35.3b	2
	57.3b	1

Compiler

Compiled 78 to 60 computations (23.1% saved)

regimes179.0ms (1.8%)

Counts

15 → 1

Calls

Call 1

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

Outputs
(+.f64 (*.f64 4 (+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))) 2)

Calls

5 calls:

139.0ms	y
10.0ms	x
10.0ms	z
8.0ms	(+.f64 1 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y))
7.0ms	(/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y)

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`z`
0.0b	1	`(+.f64 1 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y))`
0.0b	1	`(/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y)`

Compiler

Compiled 158 to 93 computations (41.1% saved)

regimes31.0ms (0.3%)

Counts

12 → 1

Calls

Call 1

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

Outputs
(+.f64 (*.f64 4 (/.f64 (-.f64 x z) y)) 2)

Calls

3 calls:

10.0ms	z
10.0ms	y
7.0ms	x

Results

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

Compiler

Compiled 90 to 51 computations (43.3% saved)

regimes171.0ms (1.7%)

Counts

10 → 3

Calls

Call 1

Inputs
1
2
(*.f64 (/.f64 x y) 4)
(*.f64 (/.f64 z y) -4)
(*.f64 (/.f64 (-.f64 x z) y) 4)
(+.f64 1 (*.f64 4 (/.f64 x y)))
(+.f64 1 (*.f64 (/.f64 z y) -4))
(+.f64 2 (*.f64 (/.f64 z y) -4))
(+.f64 (*.f64 4 (/.f64 x y)) 2)
(*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) 4)

Outputs
(+.f64 (*.f64 4 (/.f64 x y)) 2)
(+.f64 2 (*.f64 (/.f64 z y) -4))
(+.f64 (*.f64 4 (/.f64 x y)) 2)

Calls

3 calls:

116.0ms	y
32.0ms	z
20.0ms	x

Results

Error	Segments	Branch
6.3b	3	`x`
9.8b	5	`y`
7.3b	3	`z`

Compiler

Compiled 71 to 43 computations (39.4% saved)

bsearch34.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	6.710908338530778e-11	3.8541028460841054e-5
13.0ms	-9.381681300911326e+30	-2.4093841779919456e+30

Results

30.0ms	224×	body	256	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 330 to 269 computations (18.5% saved)

regimes259.0ms (2.6%)

Counts

8 → 3

Calls

Call 1

Inputs
1
2
(*.f64 (/.f64 x y) 4)
(*.f64 (/.f64 z y) -4)
(*.f64 (/.f64 (-.f64 x z) y) 4)
(+.f64 1 (*.f64 4 (/.f64 x y)))
(+.f64 1 (*.f64 (/.f64 z y) -4))
(+.f64 2 (*.f64 (/.f64 z y) -4))

Outputs
(*.f64 (/.f64 (-.f64 x z) y) 4)
(+.f64 2 (*.f64 (/.f64 z y) -4))
(*.f64 (/.f64 (-.f64 x z) y) 4)

Calls

3 calls:

197.0ms	z
37.0ms	y
23.0ms	x

Results

Error	Segments	Branch
9.1b	3	`x`
12.9b	5	`y`
15.5b	5	`z`

Compiler

Compiled 55 to 36 computations (34.5% saved)

bsearch30.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
6.0ms	5.447262822588206e-11	6.710908338530778e-11
24.0ms	-7.06091900214184e+162	-1.6551961690250886e+159

Results

24.0ms	176×	body	256	valid
2.0ms	18×	body	256	infinite

Compiler

Compiled 264 to 204 computations (22.7% saved)

regimes121.0ms (1.2%)

Counts

7 → 3

Calls

Call 1

Inputs
1
2
(*.f64 (/.f64 x y) 4)
(*.f64 (/.f64 z y) -4)
(*.f64 (/.f64 (-.f64 x z) y) 4)
(+.f64 1 (*.f64 4 (/.f64 x y)))
(+.f64 1 (*.f64 (/.f64 z y) -4))

Outputs
2
(*.f64 (/.f64 (-.f64 x z) y) 4)
2

Calls

3 calls:

49.0ms	z
48.0ms	x
22.0ms	y

Results

Error	Segments	Branch
18.5b	9	`x`
17.4b	3	`y`
17.5b	9	`z`

Compiler

Compiled 48 to 32 computations (33.3% saved)

bsearch40.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	5.764337575936579e+173	3.405213565281318e+182
19.0ms	-4.541000536059562e+119	-2.8018663940954877e+118

Results

35.0ms

256×

body

256

valid

Compiler

Compiled 278 to 225 computations (19.1% saved)

regimes339.0ms (3.4%)

Counts

4 → 11

Calls

Call 1

Inputs
1
2
(*.f64 (/.f64 x y) 4)
(*.f64 (/.f64 z y) -4)

Outputs
2
(*.f64 (/.f64 x y) 4)
2
(*.f64 (/.f64 z y) -4)
(*.f64 (/.f64 x y) 4)
(*.f64 (/.f64 z y) -4)
2
(*.f64 (/.f64 z y) -4)
(*.f64 (/.f64 x y) 4)
(*.f64 (/.f64 z y) -4)
2

Calls

3 calls:

174.0ms	x
115.0ms	z
48.0ms	y

Results

Error	Segments	Branch
26.3b	3	`x`
23.6b	11	`y`
24.1b	7	`z`

Compiler

Compiled 27 to 20 computations (25.9% saved)

bsearch440.0ms (4.4%)

Algorithm

10×	binary-search

Steps

Time	Left	Right
16.0ms	3.589277034901765e+94	3.510479249062083e+96
12.0ms	8.01102072696346e+78	8.139940703534075e+79
195.0ms	3.934026473215268e-62	7.422514555792098e-61
15.0ms	8.652810609049175e-75	2.157244332375637e-72
27.0ms	1.2643287062903964e-107	8.443734035392821e-100
93.0ms	-2.8422958646892844e-261	-3.088540746573414e-272
21.0ms	-1.9081866914275035e-226	-2.852227387557608e-227
20.0ms	-3.4967247136221774e-67	-1.5614043923212118e-72
25.0ms	-9.4555651535448e-29	-1.633854392834157e-40
14.0ms	-6.867323557884154e+35	-1.4083356853842673e+34

Results

145.0ms	1248×	body	256	valid
92.0ms	415×	body	256	infinite

Compiler

Compiled 1230 to 1011 computations (17.8% saved)

regimes54.0ms (0.5%)

Counts

3 → 3

Calls

Call 1

Inputs
1
2
(*.f64 (/.f64 x y) 4)

Outputs
(*.f64 (/.f64 x y) 4)
2
(*.f64 (/.f64 x y) 4)

Calls

3 calls:

21.0ms	y
19.0ms	z
13.0ms	x

Results

Error	Segments	Branch
26.3b	3	`x`
30.2b	5	`y`
32.7b	5	`z`

Compiler

Compiled 22 to 17 computations (22.7% saved)

bsearch81.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
63.0ms	6.710908338530778e-11	3.8541028460841054e-5
17.0ms	-7.06091900214184e+162	-1.6551961690250886e+159

Results

75.0ms	272×	body	256	valid
2.0ms	15×	body	256	infinite

Compiler

Compiled 260 to 221 computations (15% saved)

regimes12.0ms (0.1%)

Accuracy

Total -22.0b remaining (-62.4%)

Threshold costs -22.0b (-62.4%)

Counts

2 → 1

Calls

Call 1

Inputs
1
2

Outputs
2

Calls

3 calls:

4.0ms	y
4.0ms	x
3.0ms	z

Results

Error	Segments	Branch
35.3b	1	`x`
35.3b	1	`y`
35.3b	1	`z`

Compiler

Compiled 17 to 14 computations (17.6% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	481

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (*.f64 4 (+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))) 2)
(+.f64 (*.f64 4 (/.f64 (-.f64 x z) y)) 2)
(if (<=.f64 x -7000000000000000420667350581248) (+.f64 (.f64 4 (/.f64 x y)) 2) (if (<=.f64 x 1662273001970115/75557863725914323419136) (+.f64 2 (.f64 (/.f64 z y) -4)) (+.f64 (*.f64 4 (/.f64 x y)) 2)))
(if (<=.f64 x -1899999999999999825099061696670096575110928220698412407589391903750628186239836839554659797711947529586738885526045129597196655068825897040796523486286155087872) (.f64 (/.f64 (-.f64 x z) y) 4) (if (<=.f64 x 4332790137498831/77371252455336267181195264) (+.f64 2 (.f64 (/.f64 z y) -4)) (*.f64 (/.f64 (-.f64 x z) y) 4)))
(if (<=.f64 y -430000000000000031537717169205757961306951900732235126761006084532151803697599041221009788568380890319878391755062640640) 2 (if (<=.f64 y 13999999999999999654394347574720840199134078371565968326065283748185294624473868982508320202085911785814449826049899332980065010307247312242441363826197374818500026476529763483648) (*.f64 (/.f64 (-.f64 x z) y) 4) 2))
(if (<=.f64 y -159999999999999991292036957926850560) 2 (if (<=.f64 y -2911741527645189/766247770432944429179173513575154591809369561091801088) (.f64 (/.f64 x y) 4) (if (<=.f64 y -2504221618884729/7588550360256754183279148073529370729071901715047420004889892225542594864082845696) 2 (if (<=.f64 y -7254799702973281/213376461852155336770555257303080249508632266314109061132680249976449191610164226288685830427889737303773757138989863694268441652931819682571627393674586561475045042544448465870818505149178048791326880516348371263414103937199246761317244076032) (.f64 (/.f64 z y) -4) (if (<=.f64 y -6423913044624023/1189613526782226450238449998519920448105008161327515567244617487452752525728323498836134651596925080471838979032154378440363668196435924566232664464881915700626376672357967899154149127867438189496191356625881149764854198965502304070525679152278926466409636084363315130259012279051747328) (.f64 (/.f64 x y) 4) (if (<=.f64 y 8230921486402021/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168) (.f64 (/.f64 z y) -4) (if (<=.f64 y 8912032396463377/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672) 2 (if (<=.f64 y 7758069978900185/115792089237316195423570985008687907853269984665640564039457584007913129639936) (.f64 (/.f64 z y) -4) (if (<=.f64 y 38000000000000002379638311131716265787368535331441034632429797944681111610195968) (.f64 (/.f64 x y) 4) (if (<=.f64 y 37999999999999996321901180118984081300765835948529932597668109375306493074759017851766339272704) (*.f64 (/.f64 z y) -4) 2))))))))))
(if (<=.f64 x -1800000000000000183447304208502380528310043225423674897493689864767105417264505385047306386885105173063777313125750055125356232854102094713751881117934582497280) (.f64 (/.f64 x y) 4) (if (<=.f64 x 5312662293228351/147573952589676412928) 2 (.f64 (/.f64 x y) 4)))
2
1

Outputs
(+.f64 (*.f64 4 (+.f64 (neg.f64 (/.f64 z y)) (/.f64 x y))) 2)
(+.f64 (*.f64 4 (/.f64 (-.f64 x z) y)) 2)
(if (<=.f64 x -7000000000000000420667350581248) (+.f64 (.f64 4 (/.f64 x y)) 2) (if (<=.f64 x 1662273001970115/75557863725914323419136) (+.f64 2 (.f64 (/.f64 z y) -4)) (+.f64 (*.f64 4 (/.f64 x y)) 2)))
(if (<=.f64 x -1899999999999999825099061696670096575110928220698412407589391903750628186239836839554659797711947529586738885526045129597196655068825897040796523486286155087872) (.f64 (/.f64 (-.f64 x z) y) 4) (if (<=.f64 x 4332790137498831/77371252455336267181195264) (+.f64 2 (.f64 (/.f64 z y) -4)) (*.f64 (/.f64 (-.f64 x z) y) 4)))
(if (<=.f64 y -430000000000000031537717169205757961306951900732235126761006084532151803697599041221009788568380890319878391755062640640) 2 (if (<=.f64 y 13999999999999999654394347574720840199134078371565968326065283748185294624473868982508320202085911785814449826049899332980065010307247312242441363826197374818500026476529763483648) (*.f64 (/.f64 (-.f64 x z) y) 4) 2))
(if (<=.f64 y -159999999999999991292036957926850560) 2 (if (<=.f64 y -2911741527645189/766247770432944429179173513575154591809369561091801088) (.f64 (/.f64 x y) 4) (if (<=.f64 y -2504221618884729/7588550360256754183279148073529370729071901715047420004889892225542594864082845696) 2 (if (<=.f64 y -7254799702973281/213376461852155336770555257303080249508632266314109061132680249976449191610164226288685830427889737303773757138989863694268441652931819682571627393674586561475045042544448465870818505149178048791326880516348371263414103937199246761317244076032) (.f64 (/.f64 z y) -4) (if (<=.f64 y -6423913044624023/1189613526782226450238449998519920448105008161327515567244617487452752525728323498836134651596925080471838979032154378440363668196435924566232664464881915700626376672357967899154149127867438189496191356625881149764854198965502304070525679152278926466409636084363315130259012279051747328) (.f64 (/.f64 x y) 4) (if (<=.f64 y 8230921486402021/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168) (.f64 (/.f64 z y) -4) (if (<=.f64 y 8912032396463377/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672) 2 (if (<=.f64 y 7758069978900185/115792089237316195423570985008687907853269984665640564039457584007913129639936) (.f64 (/.f64 z y) -4) (if (<=.f64 y 38000000000000002379638311131716265787368535331441034632429797944681111610195968) (.f64 (/.f64 x y) 4) (if (<=.f64 y 37999999999999996321901180118984081300765835948529932597668109375306493074759017851766339272704) (*.f64 (/.f64 z y) -4) 2))))))))))
(if (<=.f64 x -1800000000000000183447304208502380528310043225423674897493689864767105417264505385047306386885105173063777313125750055125356232854102094713751881117934582497280) (.f64 (/.f64 x y) 4) (if (<=.f64 x 5312662293228351/147573952589676412928) 2 (.f64 (/.f64 x y) 4)))
2
1

Compiler

Compiled 223 to 154 computations (30.9% saved)

soundness593.0ms (5.9%)

Algorithm

2×	egg-herbie

Rules

1012×	`rational.json-simplify-111`
1006×	`rational.json-simplify-49`
960×	`rational.json-simplify-55`
830×	`rational.json-simplify-2`
820×	`rational.json-simplify-54`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	116	3592
1	251	3484
2	595	3484
3	1789	3484
4	5225	3484
5	7988	3484
0	64	1930
1	120	1888
2	228	1888
3	819	1888
4	3878	1888
5	6508	1888

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 75 to 45 computations (40% saved)

end100.0ms (1%)

Compiler: Compiled 199 to 120 computations (39.7% saved)

Details

analyze927.0ms (9.2%)

sample2.3s (22.8%)

preprocess28.0ms (0.3%)

simplify21.0ms (0.2%)

eval1.0ms (0%)

prune1.0ms (0%)

localize33.0ms (0.3%)

series11.0ms (0.1%)

rewrite165.0ms (1.6%)

simplify367.0ms (3.6%)

eval99.0ms (1%)

prune107.0ms (1.1%)

localize8.0ms (0.1%)

series5.0ms (0%)

rewrite85.0ms (0.8%)

simplify192.0ms (1.9%)

localize9.0ms (0.1%)

series3.0ms (0%)

rewrite74.0ms (0.7%)

simplify167.0ms (1.7%)

localize17.0ms (0.2%)

series4.0ms (0%)

rewrite183.0ms (1.8%)

simplify234.0ms (2.3%)

localize10.0ms (0.1%)

series8.0ms (0.1%)

rewrite93.0ms (0.9%)

simplify190.0ms (1.9%)

eval148.0ms (1.5%)

prune39.0ms (0.4%)

localize13.0ms (0.1%)

series7.0ms (0.1%)

rewrite285.0ms (2.8%)

simplify375.0ms (3.7%)

localize7.0ms (0.1%)

series1.0ms (0%)

rewrite76.0ms (0.8%)

simplify243.0ms (2.4%)

localize6.0ms (0.1%)

localize9.0ms (0.1%)

localize8.0ms (0.1%)

eval255.0ms (2.5%)

prune154.0ms (1.5%)

localize74.0ms (0.7%)

localize16.0ms (0.2%)

series1.0ms (0%)

rewrite189.0ms (1.9%)

simplify227.0ms (2.3%)

eval83.0ms (0.8%)

prune20.0ms (0.2%)

regimes179.0ms (1.8%)

regimes31.0ms (0.3%)

regimes171.0ms (1.7%)

bsearch34.0ms (0.3%)

regimes259.0ms (2.6%)

bsearch30.0ms (0.3%)

regimes121.0ms (1.2%)

bsearch40.0ms (0.4%)

regimes339.0ms (3.4%)

bsearch440.0ms (4.4%)

regimes54.0ms (0.5%)

bsearch81.0ms (0.8%)

regimes12.0ms (0.1%)

simplify12.0ms (0.1%)

soundness593.0ms (5.9%)

end100.0ms (1%)

Profiling