Details

analyze351.0ms (4.7%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	7
18.8%	18.7%	81.1%	0.1%	0%	0%	0%	8
25.6%	25%	72.5%	0.1%	2.3%	0%	0%	9
38.6%	37.4%	59.7%	0.1%	2.7%	0%	0%	10
46.4%	44.5%	51.3%	0.1%	4.1%	0%	0%	11
53.7%	50.3%	43.4%	0.1%	6.1%	0%	0%	12

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample2.8s (37.3%)

Results

2.6s	8252×	body	256	valid
159.0ms	621×	body	256	infinite
1.0ms	3×	body	1024	valid
0.0ms	1×	body	512	valid

Bogosity

preprocess41.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

46×	`rational.json-simplify-1`
16×	`rational.json-simplify-41`
6×	`rational.json-simplify-2`
2×	`trig.json-simplify-45`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	100
1	33	100
2	48	100
3	63	100
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify27.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

12×	`rational.json-simplify-1`
4×	`rational.json-simplify-41`
2×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	13	25
2	17	25
3	21	25

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 30 to 17 computations (43.3% saved)

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	2	1	3
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	3	1	4

Error

0.0b

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize18.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 27 to 11 computations (59.3% saved)

series9.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))
1.0ms	x	@	inf	(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))
1.0ms	y	@	0	(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))
1.0ms	x	@	0	(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))
0.0ms	y	@	inf	(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))

rewrite209.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

980×	`rational.json-simplify-2`
946×	`rational.json-simplify-80`
946×	`rational.json-simplify-79`
566×	`rational.json-simplify-47`
546×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	86	38
2	277	38
3	1018	38
4	4057	38

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

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

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

Outputs

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

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

simplify216.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1276×	`rational.json-simplify-2`
1240×	`rational.json-simplify-54`
1198×	`rational.json-simplify-50`
938×	`rational.json-simplify-1`
648×	`rational.json-simplify-46`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	134	2276
1	341	2128
2	951	2128
3	3917	2128

Stop Event

1×	node limit

Counts

128 → 77

Calls

Call 1

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

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

eval38.0ms (0.5%)

Compiler: Compiled 1445 to 585 computations (59.5% saved)

prune19.0ms (0.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	71	6	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	72	6	78

Error

0.0b

Counts

78 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	28.7b	(+.f64 (.f64 1/2 x) (.f64 y x))
▶	18.2b	(+.f64 (*.f64 1/2 x) z)
▶	0.0b	(+.f64 z (*.f64 (+.f64 1/2 y) x))
▶	28.7b	(*.f64 (+.f64 1/2 y) x)
▶	45.1b	(*.f64 y x)
	34.7b	z

Compiler

Compiled 88 to 63 computations (28.4% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 22 to 13 computations (40.9% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite111.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1370×	`rational.json-5`
1368×	`exponential.json-3`
1368×	`rational.json-1`
1368×	`rational.json-2`
1368×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	59	13
2	188	13
3	677	13
4	2647	13

Stop Event

1×	node limit

Counts

1 → 9

Calls

Call 1

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

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

Outputs

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

simplify167.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1144×	`rational.json-simplify-1`
854×	`rational.json-simplify-111`
756×	`rational.json-simplify-2`
714×	`rational.json-simplify-41`
596×	`rational.json-simplify-79`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	363
1	54	255
2	121	255
3	379	255
4	1549	255
5	4492	255
6	6654	255

Stop Event

1×	node limit

Counts

21 → 15

Calls

Call 1

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

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

localize4.0ms (0%)

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

localize7.0ms (0.1%)

Compiler: Compiled 14 to 9 computations (35.7% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 10 computations (47.4% saved)

series2.0ms (0%)

Counts

1 → 15

Calls

6 calls:

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

rewrite202.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1668×	`rational.json-5`
1666×	`exponential.json-3`
1666×	`rational.json-1`
1666×	`rational.json-2`
1666×	`rational.json-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	68	13
2	222	13
3	834	13
4	3230	13

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

Inputs
(+.f64 (.f64 1/2 x) (.f64 y x))

Outputs

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

simplify167.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1266×	`rational.json-simplify-2`
1196×	`rational.json-simplify-54`
1098×	`rational.json-simplify-104`
922×	`rational.json-simplify-47`
862×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	489
1	110	489
2	347	489
3	939	489
4	2876	489
5	5467	489

Stop Event

1×	node limit

Counts

39 → 27

Calls

Call 1

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

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

eval12.0ms (0.2%)

Compiler: Compiled 578 to 382 computations (33.9% saved)

prune17.0ms (0.2%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	55	2	57
Fresh	0	1	1
Picked	0	1	1
Done	1	3	4
Total	56	7	63

Error

0.0b

Counts

63 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	28.7b	(+.f64 (.f64 1/2 x) (.f64 y x))
✓	18.2b	(+.f64 (*.f64 1/2 x) z)
▶	16.9b	(+.f64 z (*.f64 y x))
✓	28.7b	(*.f64 (+.f64 1/2 y) x)
✓	45.1b	(*.f64 y x)
▶	46.2b	(*.f64 1/2 x)
	34.7b	z

Compiler

Compiled 50 to 36 computations (28% saved)

localize4.0ms (0.1%)

Compiler: Compiled 8 to 6 computations (25% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite207.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1570×	`rational.json-5`
1568×	`exponential.json-3`
1568×	`rational.json-1`
1568×	`rational.json-2`
1568×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	60	13
2	205	13
3	762	13
4	3011	13

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify190.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1514×	`rational.json-simplify-47`
1312×	`rational.json-simplify-1`
1100×	`rational.json-simplify-2`
924×	`rational.json-simplify-50`
816×	`rational.json-simplify-58`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	663
1	112	663
2	319	663
3	1807	663
4	6420	663

Stop Event

1×	node limit

Counts

57 → 24

Calls

Call 1

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

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

eval4.0ms (0%)

Compiler: Compiled 300 to 74 computations (75.3% saved)

prune7.0ms (0.1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	24	0	24
Fresh	0	1	1
Picked	0	1	1
Done	0	5	5
Total	24	7	31

Error

0.0b

Counts

31 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	28.7b	(+.f64 (.f64 1/2 x) (.f64 y x))
✓	18.2b	(+.f64 (*.f64 1/2 x) z)
✓	16.9b	(+.f64 z (*.f64 y x))
✓	28.7b	(*.f64 (+.f64 1/2 y) x)
✓	45.1b	(*.f64 y x)
✓	46.2b	(*.f64 1/2 x)
	34.7b	z

Compiler

Compiled 50 to 36 computations (28% saved)

eval0.0ms (0%)

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

prune7.0ms (0.1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	6	6
Total	7	7

Error

0.0b

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	28.7b	(+.f64 (.f64 1/2 x) (.f64 y x))
✓	18.2b	(+.f64 (*.f64 1/2 x) z)
✓	16.9b	(+.f64 z (*.f64 y x))
✓	28.7b	(*.f64 (+.f64 1/2 y) x)
✓	45.1b	(*.f64 y x)
✓	46.2b	(*.f64 1/2 x)
	34.7b	z

Compiler

Compiled 50 to 36 computations (28% saved)

regimes48.0ms (0.6%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

5 calls:

12.0ms	x
10.0ms	(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
8.0ms	z
8.0ms	(+.f64 (/.f64 x 2) (*.f64 y x))
8.0ms	y

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`z`
0.0b	1	`(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)`
0.0b	1	`(+.f64 (/.f64 x 2) (*.f64 y x))`

Compiler

Compiled 91 to 53 computations (41.8% saved)

regimes34.0ms (0.5%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

15.0ms	y
8.0ms	z
7.0ms	x

Results

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

Compiler

Compiled 51 to 29 computations (43.1% saved)

regimes157.0ms (2.1%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

3 calls:

96.0ms	x
40.0ms	z
20.0ms	y

Results

Error	Segments	Branch
8.6b	3	`x`
0.7b	3	`y`
9.5b	4	`z`

Compiler

Compiled 37 to 22 computations (40.5% saved)

bsearch233.0ms (3.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
211.0ms	0.0001867796255239652	272932778305612.84
22.0ms	-863.3100254453311	-1.6376658047352282e-6

Results

227.0ms

304×

body

256

valid

Compiler

Compiled 360 to 260 computations (27.8% saved)

regimes73.0ms (1%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

3 calls:

32.0ms	y
21.0ms	x
17.0ms	z

Results

Error	Segments	Branch
8.6b	3	`x`
10.0b	5	`y`
10.9b	3	`z`

Compiler

Compiled 32 to 19 computations (40.6% saved)

bsearch85.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
78.0ms	2.3317321720060396e-18	5.370589453384609e-12
7.0ms	-2.674046697114598e+34	-1.4407525911014957e+34

Results

81.0ms	207×	body	256	valid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 252 to 182 computations (27.8% saved)

regimes252.0ms (3.4%)

Counts

4 → 5

Calls

Call 1

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

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

Calls

3 calls:

202.0ms	y
26.0ms	x
23.0ms	z

Results

Error	Segments	Branch
15.5b	5	`x`
16.8b	9	`y`
14.6b	5	`z`

Compiler

Compiled 27 to 18 computations (33.3% saved)

bsearch153.0ms (2.1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
14.0ms	2.096642072083099e-38	2.6612895912369185e-37
15.0ms	-1606842.2244397255	-55.690541757042595
113.0ms	-2369878987220341000.0	-4212420959151254.5
11.0ms	-4.715610841362468e+144	-3.0281453492861148e+143

Results

144.0ms

448×

body

256

valid

Compiler

Compiled 410 to 321 computations (21.7% saved)

regimes403.0ms (5.4%)

Counts

3 → 7

Calls

Call 1

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

Outputs
(*.f64 y x)
z
(*.f64 1/2 x)
z
(*.f64 1/2 x)
z
(*.f64 y x)

Calls

3 calls:

239.0ms	x
102.0ms	y
61.0ms	z

Results

Error	Segments	Branch
22.3b	6	`x`
18.3b	7	`y`
25.7b	5	`z`

Compiler

Compiled 22 to 15 computations (31.8% saved)

bsearch399.0ms (5.4%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
16.0ms	3.531653722160164e+99	8.641103950049927e+99
70.0ms	5.880558238356526e-38	2.963432591277456e-36
33.0ms	1.3360269324530718e-237	5.552030432498685e-225
203.0ms	-8.794739054942053e-227	-2.2462128617300577e-233
51.0ms	-2.8557466232977864e-126	-1.611994340549253e-130
26.0ms	-2.559349076784637e+102	-7.913800094507412e+99

Results

200.0ms	752×	body	256	valid
4.0ms	23×	body	256	infinite

Compiler

Compiled 582 to 470 computations (19.2% saved)

regimes285.0ms (3.8%)

Accuracy

Total -35.5b remaining (-133.3%)

Threshold costs -35.5b (-133.3%)

Counts

2 → 3

Calls

Call 1

Inputs
z
(*.f64 1/2 x)

Outputs
(*.f64 1/2 x)
z
(*.f64 1/2 x)

Calls

3 calls:

237.0ms	y
26.0ms	x
20.0ms	z

Results

Error	Segments	Branch
26.6b	3	`x`
27.7b	5	`y`
28.9b	3	`z`

Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch95.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
81.0ms	2.3317321720060396e-18	5.370589453384609e-12
13.0ms	-2.674046697114598e+34	-1.4407525911014957e+34

Results

34.0ms	208×	body	256	valid
0.0ms	2×	body	256	infinite

Compiler

Compiled 174 to 143 computations (17.8% saved)

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	342

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
(+.f64 z (*.f64 (+.f64 1/2 y) x))
(if (<=.f64 y -1/2) (+.f64 z (.f64 y x)) (if (<=.f64 y 1/2) (+.f64 (.f64 1/2 x) z) (+.f64 z (*.f64 y x))))
(if (<=.f64 x -20499999999999999172522611386089472) (.f64 (+.f64 1/2 y) x) (if (<=.f64 x 3010670175542045/39614081257132168796771975168) (+.f64 z (.f64 y x)) (*.f64 (+.f64 1/2 y) x)))
(if (<=.f64 z -309999999999999990031898442926749788431595306732618331639042425388920008342528998654751890961825677180257212280618072874800889573893601356677120) z (if (<=.f64 z -80000000000000000) (.f64 (+.f64 1/2 y) x) (if (<=.f64 z -23000) z (if (<=.f64 z 3591786423904427/47890485652059026823698344598447161988085597568237568) (.f64 (+.f64 1/2 y) x) z))))
(if (<=.f64 y -16999999999999999687548481198199885520374802511651306369906205132529469537145924881711613414394036224) (.f64 y x) (if (<=.f64 y -7804371375789981/6243497100631984462763194459586332611497196285329942301718313919250743477639531240240612206126983942319653862242813245790895951358576570612580352) z (if (<=.f64 y -5899432417288391/218497496936607064853048583478354175496839440705647678599864575975883972208808167719614290358159090999064327310325620422930884252602183354953346451122776638950446123565515229051718149272758321962318725648740732173736042431692028683588857933856768) (.f64 1/2 x) (if (<=.f64 y 1600323463891165/3334007216439927137039925895360628898572379161157954080198128905882018618908816035760716100435777145371464955296716620222944400827059682540181678026165415023047578789757007279231539142955907012364482508067943300990845374018738230645581938688) z (if (<=.f64 y 8680150524435699/5986310706507378352962293074805895248510699696029696) (.f64 1/2 x) (if (<=.f64 y 4800000000000000231747388704905932298370140656575247598487584351890124310786775688302808409627951104) z (.f64 y x)))))))
(if (<=.f64 x -18000000000000000173275662373617664) (.f64 1/2 x) (if (<=.f64 x 6189700196426901/1237940039285380274899124224) z (.f64 1/2 x)))
z

Outputs
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
(+.f64 z (*.f64 (+.f64 1/2 y) x))
(if (<=.f64 y -1/2) (+.f64 z (.f64 y x)) (if (<=.f64 y 1/2) (+.f64 (.f64 1/2 x) z) (+.f64 z (*.f64 y x))))
(if (<=.f64 x -20499999999999999172522611386089472) (.f64 (+.f64 1/2 y) x) (if (<=.f64 x 3010670175542045/39614081257132168796771975168) (+.f64 z (.f64 y x)) (*.f64 (+.f64 1/2 y) x)))
(if (<=.f64 z -309999999999999990031898442926749788431595306732618331639042425388920008342528998654751890961825677180257212280618072874800889573893601356677120) z (if (<=.f64 z -80000000000000000) (.f64 (+.f64 1/2 y) x) (if (<=.f64 z -23000) z (if (<=.f64 z 3591786423904427/47890485652059026823698344598447161988085597568237568) (.f64 (+.f64 1/2 y) x) z))))
(if (<=.f64 y -16999999999999999687548481198199885520374802511651306369906205132529469537145924881711613414394036224) (.f64 y x) (if (<=.f64 y -7804371375789981/6243497100631984462763194459586332611497196285329942301718313919250743477639531240240612206126983942319653862242813245790895951358576570612580352) z (if (<=.f64 y -5899432417288391/218497496936607064853048583478354175496839440705647678599864575975883972208808167719614290358159090999064327310325620422930884252602183354953346451122776638950446123565515229051718149272758321962318725648740732173736042431692028683588857933856768) (.f64 1/2 x) (if (<=.f64 y 1600323463891165/3334007216439927137039925895360628898572379161157954080198128905882018618908816035760716100435777145371464955296716620222944400827059682540181678026165415023047578789757007279231539142955907012364482508067943300990845374018738230645581938688) z (if (<=.f64 y 8680150524435699/5986310706507378352962293074805895248510699696029696) (.f64 1/2 x) (if (<=.f64 y 4800000000000000231747388704905932298370140656575247598487584351890124310786775688302808409627951104) z (.f64 y x)))))))
(if (<=.f64 x -18000000000000000173275662373617664) (.f64 1/2 x) (if (<=.f64 x 6189700196426901/1237940039285380274899124224) z (.f64 1/2 x)))
z

Compiler

Compiled 170 to 109 computations (35.9% saved)

soundness0.0ms (0%)

end358.0ms (4.8%)

Compiler: Compiled 149 to 84 computations (43.6% saved)

Details

analyze351.0ms (4.7%)

sample2.8s (37.3%)

preprocess41.0ms (0.6%)

simplify27.0ms (0.4%)

eval1.0ms (0%)

prune2.0ms (0%)

localize18.0ms (0.2%)

series9.0ms (0.1%)

rewrite209.0ms (2.8%)

simplify216.0ms (2.9%)

eval38.0ms (0.5%)

prune19.0ms (0.3%)

localize9.0ms (0.1%)

series2.0ms (0%)

rewrite111.0ms (1.5%)

simplify167.0ms (2.3%)

localize4.0ms (0%)

localize7.0ms (0.1%)

localize7.0ms (0.1%)

localize8.0ms (0.1%)

series2.0ms (0%)

rewrite202.0ms (2.7%)

simplify167.0ms (2.2%)

eval12.0ms (0.2%)

prune17.0ms (0.2%)

localize4.0ms (0.1%)

localize6.0ms (0.1%)

series1.0ms (0%)

rewrite207.0ms (2.8%)

simplify190.0ms (2.6%)

eval4.0ms (0%)

prune7.0ms (0.1%)

eval0.0ms (0%)

prune7.0ms (0.1%)

regimes48.0ms (0.6%)

regimes34.0ms (0.5%)

regimes157.0ms (2.1%)

bsearch233.0ms (3.1%)

regimes73.0ms (1%)

bsearch85.0ms (1.1%)

regimes252.0ms (3.4%)

bsearch153.0ms (2.1%)

regimes403.0ms (5.4%)

bsearch399.0ms (5.4%)

regimes285.0ms (3.8%)

bsearch95.0ms (1.3%)

simplify12.0ms (0.2%)

soundness0.0ms (0%)

end358.0ms (4.8%)

Profiling