Details

analyze337.0ms (1.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
0%	0%	99.8%	0.2%	0%	0%	0%	5
0%	0%	99.8%	0.2%	0%	0%	0%	6
0%	0%	99.8%	0.2%	0%	0%	0%	7
0%	0%	74.9%	0.2%	0%	25%	0%	8
4.2%	3.1%	71.7%	0.2%	0%	25%	0%	9
6.3%	4.7%	70.2%	0.2%	0%	25%	0%	10
9.4%	7%	67.8%	0.2%	0%	25%	0%	11
16.9%	10.5%	51.9%	0.2%	0%	37.4%	0%	12

Compiler

Compiled 22 to 17 computations (22.7% saved)

sample7.1s (26%)

Results

3.6s	8256×	body	256	valid
2.7s	10295×	body	256	infinite
887.0ms	4681×	body	256	invalid

Bogosity

preprocess92.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

1504×	`rational.json-simplify-19`
1376×	`rational.json-simplify-43`
1160×	`rational.json-simplify-35`
836×	`rational.json-simplify-1`
690×	`rational.json-simplify-40`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	357
1	97	357
2	170	357
3	355	357
4	1418	357
5	5429	357
6	7641	357
0	4	4

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

Inputs
(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (exp.f64 (/.f64 (*.f64 t t) 2)))
(.f64 (.f64 (-.f64 (.f64 y 1/2) x) (sqrt.f64 (.f64 z 2))) (exp.f64 (/.f64 (*.f64 t t) 2)))
(.f64 (.f64 (-.f64 (.f64 z 1/2) y) (sqrt.f64 (.f64 x 2))) (exp.f64 (/.f64 (*.f64 t t) 2)))
(.f64 (.f64 (-.f64 (.f64 t 1/2) y) (sqrt.f64 (.f64 z 2))) (exp.f64 (/.f64 (*.f64 x x) 2)))
(.f64 (.f64 (-.f64 (.f64 x 1/2) z) (sqrt.f64 (.f64 y 2))) (exp.f64 (/.f64 (*.f64 t t) 2)))
(.f64 (.f64 (-.f64 (.f64 x 1/2) t) (sqrt.f64 (.f64 z 2))) (exp.f64 (/.f64 (*.f64 y y) 2)))
(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 t 2))) (exp.f64 (/.f64 (*.f64 z z) 2)))

Outputs
(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (exp.f64 (/.f64 (*.f64 t t) 2)))
(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (exp.f64 (*.f64 t (/.f64 t 2))))
(.f64 (-.f64 (.f64 x 1/2) y) (.f64 (sqrt.f64 (.f64 z 2)) (exp.f64 (*.f64 t (/.f64 t 2)))))
(.f64 (.f64 (-.f64 (.f64 y 1/2) x) (sqrt.f64 (.f64 z 2))) (exp.f64 (/.f64 (*.f64 t t) 2)))
(.f64 (exp.f64 (.f64 t (/.f64 t 2))) (.f64 (sqrt.f64 (.f64 z 2)) (-.f64 (*.f64 1/2 y) x)))
(.f64 (sqrt.f64 (.f64 z 2)) (.f64 (-.f64 (.f64 1/2 y) x) (exp.f64 (*.f64 t (/.f64 t 2)))))
(.f64 (sqrt.f64 (.f64 z 2)) (.f64 (exp.f64 (.f64 t (/.f64 t 2))) (-.f64 (*.f64 1/2 y) x)))
(.f64 (.f64 (-.f64 (.f64 z 1/2) y) (sqrt.f64 (.f64 x 2))) (exp.f64 (/.f64 (*.f64 t t) 2)))
(.f64 (exp.f64 (.f64 t (/.f64 t 2))) (.f64 (-.f64 (.f64 1/2 z) y) (sqrt.f64 (*.f64 x 2))))
(.f64 (.f64 (-.f64 (.f64 t 1/2) y) (sqrt.f64 (.f64 z 2))) (exp.f64 (/.f64 (*.f64 x x) 2)))
(.f64 (.f64 (sqrt.f64 (.f64 z 2)) (-.f64 (.f64 1/2 t) y)) (exp.f64 (*.f64 x (/.f64 x 2))))
(.f64 (sqrt.f64 (.f64 z 2)) (.f64 (-.f64 (.f64 1/2 t) y) (exp.f64 (*.f64 x (/.f64 x 2)))))
(.f64 (-.f64 (.f64 1/2 t) y) (.f64 (sqrt.f64 (.f64 z 2)) (exp.f64 (*.f64 x (/.f64 x 2)))))
(.f64 (-.f64 (.f64 1/2 t) y) (.f64 (sqrt.f64 (.f64 z 2)) (exp.f64 (/.f64 (*.f64 x x) 2))))
(.f64 (.f64 (-.f64 (.f64 x 1/2) z) (sqrt.f64 (.f64 y 2))) (exp.f64 (/.f64 (*.f64 t t) 2)))
(.f64 (exp.f64 (.f64 t (/.f64 t 2))) (.f64 (-.f64 (.f64 x 1/2) z) (sqrt.f64 (*.f64 y 2))))
(.f64 (.f64 (-.f64 (.f64 x 1/2) t) (sqrt.f64 (.f64 z 2))) (exp.f64 (/.f64 (*.f64 y y) 2)))
(.f64 (.f64 (sqrt.f64 (.f64 z 2)) (-.f64 (.f64 x 1/2) t)) (exp.f64 (/.f64 (*.f64 y y) 2)))
(.f64 (sqrt.f64 (.f64 z 2)) (.f64 (-.f64 (.f64 x 1/2) t) (exp.f64 (/.f64 (*.f64 y y) 2))))
(.f64 (sqrt.f64 (.f64 z 2)) (.f64 (-.f64 (.f64 x 1/2) t) (exp.f64 (*.f64 y (/.f64 y 2)))))
(.f64 (-.f64 (.f64 x 1/2) t) (.f64 (sqrt.f64 (.f64 z 2)) (exp.f64 (/.f64 (*.f64 y y) 2))))
(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 t 2))) (exp.f64 (/.f64 (*.f64 z z) 2)))
(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 2 t))) (exp.f64 (*.f64 z (/.f64 z 2))))
(.f64 (sqrt.f64 (.f64 2 t)) (.f64 (-.f64 (.f64 x 1/2) y) (exp.f64 (*.f64 z (/.f64 z 2)))))
(.f64 (-.f64 (.f64 x 1/2) y) (.f64 (sqrt.f64 (.f64 2 t)) (exp.f64 (*.f64 z (/.f64 z 2)))))
(.f64 (-.f64 (.f64 x 1/2) y) (.f64 (sqrt.f64 (.f64 2 t)) (exp.f64 (/.f64 (*.f64 z z) 2))))

Compiler

Compiled 25 to 20 computations (20% saved)

simplify102.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1472×	`rational.json-simplify-2`
1120×	`rational.json-simplify-59`
1120×	`rational.json-simplify-44`
1004×	`rational.json-simplify-47`
744×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	51
1	29	51
2	46	51
3	91	51
4	359	51
5	4379	51
6	7797	51

Stop Event

1×	node limit

Counts

1 → 3

Calls

Call 1

Inputs
(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (exp.f64 (/.f64 (*.f64 t t) 2)))

Outputs

(*.f64 (*.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 (*.f64 z 2))) (exp.f64 (/.f64 (*.f64 t t) 2)))

(*.f64 (*.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 (*.f64 z 2))) (exp.f64 (*.f64 t (/.f64 t 2))))

(*.f64 (-.f64 (*.f64 x 1/2) y) (*.f64 (sqrt.f64 (*.f64 z 2)) (exp.f64 (*.f64 t (/.f64 t 2)))))

eval1.0ms (0%)

Compiler: Compiled 55 to 40 computations (27.3% saved)

prune1.0ms (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

0.2b

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(.f64 (-.f64 (.f64 x 1/2) y) (.f64 (sqrt.f64 (.f64 z 2)) (exp.f64 (*.f64 t (/.f64 t 2)))))

Compiler

Compiled 21 to 16 computations (23.8% saved)

localize30.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (sqrt.f64 (.f64 z 2)) (exp.f64 (*.f64 t (/.f64 t 2))))
✓	0.0b	(exp.f64 (*.f64 t (/.f64 t 2)))
✓	0.2b	(.f64 (-.f64 (.f64 x 1/2) y) (.f64 (sqrt.f64 (.f64 z 2)) (exp.f64 (*.f64 t (/.f64 t 2)))))

Compiler

Compiled 67 to 45 computations (32.8% saved)

series16.0ms (0.1%)

Counts

3 → 60

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	z	@	inf	(.f64 (-.f64 (.f64 x 1/2) y) (.f64 (sqrt.f64 (.f64 z 2)) (exp.f64 (*.f64 t (/.f64 t 2)))))
2.0ms	z	@	-inf	(.f64 (-.f64 (.f64 x 1/2) y) (.f64 (sqrt.f64 (.f64 z 2)) (exp.f64 (*.f64 t (/.f64 t 2)))))
2.0ms	x	@	0	(.f64 (-.f64 (.f64 x 1/2) y) (.f64 (sqrt.f64 (.f64 z 2)) (exp.f64 (*.f64 t (/.f64 t 2)))))
1.0ms	x	@	-inf	(.f64 (-.f64 (.f64 x 1/2) y) (.f64 (sqrt.f64 (.f64 z 2)) (exp.f64 (*.f64 t (/.f64 t 2)))))
1.0ms	t	@	inf	(.f64 (-.f64 (.f64 x 1/2) y) (.f64 (sqrt.f64 (.f64 z 2)) (exp.f64 (*.f64 t (/.f64 t 2)))))

rewrite111.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1204×	`bool.json-1`
1204×	`bool.json-2`
1166×	`rational.json-1`
1166×	`rational.json-2`
1166×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	101
1	178	101
2	449	101
3	920	101
4	1827	101
5	4139	101
6	7550	101

Stop Event

1×	node limit

Counts

3 → 38

Calls

Call 1

Inputs
(.f64 (-.f64 (.f64 x 1/2) y) (.f64 (sqrt.f64 (.f64 z 2)) (exp.f64 (*.f64 t (/.f64 t 2)))))
(exp.f64 (*.f64 t (/.f64 t 2)))
(.f64 (sqrt.f64 (.f64 z 2)) (exp.f64 (*.f64 t (/.f64 t 2))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 (.f64 x 1/2) y) (.f64 (sqrt.f64 (+.f64 z z)) (exp.f64 (.f64 t (.f64 1/2 t))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (-.f64 (.f64 x 1/2) y) (.f64 (sqrt.f64 (+.f64 z z)) (exp.f64 (.f64 t (.f64 1/2 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (sqrt.f64 (+.f64 z z)) (exp.f64 (.f64 t (.f64 1/2 t)))) (/.f64 (+.f64 y (/.f64 x -2)) -2)) (.f64 (.f64 (sqrt.f64 (+.f64 z z)) (exp.f64 (.f64 t (.f64 1/2 t)))) (/.f64 (+.f64 y (/.f64 x -2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (-.f64 (.f64 x 1/2) y) (.f64 (sqrt.f64 (+.f64 z z)) (exp.f64 (.f64 t (.f64 1/2 t))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (.f64 x 1/2) y) (.f64 (sqrt.f64 (+.f64 z z)) (exp.f64 (.f64 t (.f64 1/2 t))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 z z)) (.f64 (exp.f64 (.f64 t (.f64 1/2 t))) (-.f64 x (+.f64 y y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (sqrt.f64 (+.f64 z z)) (exp.f64 (.f64 t (.f64 1/2 t)))) (.f64 (-.f64 (.f64 x 1/2) y) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 (sqrt.f64 (+.f64 z z)) (exp.f64 (.f64 t (.f64 1/2 t)))) (.f64 (-.f64 (.f64 x 1/2) y) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 (+.f64 z z)) (exp.f64 (.f64 t (.f64 1/2 t)))) (.f64 (-.f64 (.f64 x 1/2) y) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 (+.f64 z z)) (exp.f64 (.f64 t (.f64 1/2 t)))) (.f64 (-.f64 (.f64 x 1/2) y) 4)))) (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 (+.f64 z z)) (exp.f64 (.f64 t (.f64 1/2 t)))) (.f64 (-.f64 (.f64 x 1/2) y) 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 (-.f64 (.f64 x 1/2) y) (.f64 (sqrt.f64 (+.f64 z z)) (exp.f64 (.f64 t (.f64 1/2 t)))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 (-.f64 (.f64 x 1/2) y) (.f64 (sqrt.f64 (+.f64 z z)) (exp.f64 (.f64 t (.f64 1/2 t))))) (.f64 (-.f64 (.f64 x 1/2) y) (.f64 (sqrt.f64 (+.f64 z z)) (exp.f64 (.f64 t (.f64 1/2 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 (-.f64 (.f64 x 1/2) y) (.f64 (sqrt.f64 (+.f64 z z)) (exp.f64 (.f64 t (.f64 1/2 t))))) (.f64 (-.f64 (.f64 x 1/2) y) (.f64 (sqrt.f64 (+.f64 z z)) (exp.f64 (.f64 t (.f64 1/2 t))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (.f64 t (.f64 1/2 t))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (exp.f64 (.f64 t (.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 (exp.f64 (.f64 t (.f64 1/2 t)))) (.f64 1/2 (exp.f64 (.f64 t (.f64 1/2 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (.f64 t (.f64 1/2 t))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (exp.f64 (.f64 t (.f64 1/2 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 1/2 (exp.f64 (.f64 t (.f64 1/2 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 (.f64 t (.f64 1/2 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (exp.f64 (.f64 t (.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (exp.f64 (.f64 t (.f64 1/2 t))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (exp.f64 (.f64 t (.f64 1/2 t)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (exp.f64 (.f64 t (.f64 1/2 t))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (exp.f64 (.f64 t (.f64 1/2 t)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 (.f64 t (.f64 1/2 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (exp.f64 (.f64 t (.f64 1/2 t)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (exp.f64 (.f64 t (.f64 1/2 t))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (exp.f64 (.f64 t (.f64 1/2 t))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (exp.f64 (.f64 t (.f64 1/2 t))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (exp.f64 (.f64 t (.f64 1/2 t))) 4))) (.f64 2 (.f64 2 (.f64 (exp.f64 (.f64 t (.f64 1/2 t))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (exp.f64 (.f64 t (.f64 1/2 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (exp.f64 (.f64 t (.f64 1/2 t))) (exp.f64 (.f64 t (.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x or (exp.f64 (.f64 t (.f64 1/2 t))) (exp.f64 (.f64 t (.f64 1/2 t))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 (+.f64 z z)) (exp.f64 (.f64 t (.f64 1/2 t)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (sqrt.f64 (+.f64 z z)) (exp.f64 (.f64 t (.f64 1/2 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 (.f64 (sqrt.f64 (+.f64 z z)) (exp.f64 (.f64 t (.f64 1/2 t))))) (.f64 1/2 (.f64 (sqrt.f64 (+.f64 z z)) (exp.f64 (.f64 t (.f64 1/2 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sqrt.f64 (+.f64 z z)) (exp.f64 (.f64 t (.f64 1/2 t)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 z z)) (exp.f64 (.f64 t (.f64 1/2 t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 z z)) (exp.f64 (.f64 t (.f64 1/2 t))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 z z)) (.f64 (exp.f64 (.f64 t (.f64 1/2 t))) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 z z)) (.f64 (exp.f64 (.f64 t (.f64 1/2 t))) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 z z)) (.f64 (exp.f64 (.f64 t (.f64 1/2 t))) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 z z)) (.f64 (exp.f64 (.f64 t (.f64 1/2 t))) 4)))) (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 z z)) (.f64 (exp.f64 (.f64 t (.f64 1/2 t))) 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 (sqrt.f64 (+.f64 z z)) (exp.f64 (.f64 t (.f64 1/2 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 (sqrt.f64 (+.f64 z z)) (exp.f64 (.f64 t (.f64 1/2 t)))) (.f64 (sqrt.f64 (+.f64 z z)) (exp.f64 (.f64 t (.f64 1/2 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 (sqrt.f64 (+.f64 z z)) (exp.f64 (.f64 t (.f64 1/2 t)))) (.f64 (sqrt.f64 (+.f64 z z)) (exp.f64 (.f64 t (.f64 1/2 t)))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (*.f64 x 1/2) y) (*.f64 (sqrt.f64 (+.f64 z z)) (exp.f64 (*.f64 t (*.f64 1/2 t))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 (*.f64 x 1/2) y) (*.f64 (sqrt.f64 (+.f64 z z)) (exp.f64 (*.f64 t (*.f64 1/2 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 z z)) (exp.f64 (*.f64 t (*.f64 1/2 t)))) (/.f64 (+.f64 y (/.f64 x -2)) -2)) (*.f64 (*.f64 (sqrt.f64 (+.f64 z z)) (exp.f64 (*.f64 t (*.f64 1/2 t)))) (/.f64 (+.f64 y (/.f64 x -2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (-.f64 (*.f64 x 1/2) y) (*.f64 (sqrt.f64 (+.f64 z z)) (exp.f64 (*.f64 t (*.f64 1/2 t))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x 1/2) y) (*.f64 (sqrt.f64 (+.f64 z z)) (exp.f64 (*.f64 t (*.f64 1/2 t))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 z z)) (*.f64 (exp.f64 (*.f64 t (*.f64 1/2 t))) (-.f64 x (+.f64 y y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 z z)) (exp.f64 (*.f64 t (*.f64 1/2 t)))) (*.f64 (-.f64 (*.f64 x 1/2) y) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 (+.f64 z z)) (exp.f64 (*.f64 t (*.f64 1/2 t)))) (*.f64 (-.f64 (*.f64 x 1/2) y) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 (+.f64 z z)) (exp.f64 (*.f64 t (*.f64 1/2 t)))) (*.f64 (-.f64 (*.f64 x 1/2) y) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 (+.f64 z z)) (exp.f64 (*.f64 t (*.f64 1/2 t)))) (*.f64 (-.f64 (*.f64 x 1/2) y) 4)))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 (+.f64 z z)) (exp.f64 (*.f64 t (*.f64 1/2 t)))) (*.f64 (-.f64 (*.f64 x 1/2) y) 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (-.f64 (*.f64 x 1/2) y) (*.f64 (sqrt.f64 (+.f64 z z)) (exp.f64 (*.f64 t (*.f64 1/2 t)))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (-.f64 (*.f64 x 1/2) y) (*.f64 (sqrt.f64 (+.f64 z z)) (exp.f64 (*.f64 t (*.f64 1/2 t))))) (*.f64 (-.f64 (*.f64 x 1/2) y) (*.f64 (sqrt.f64 (+.f64 z z)) (exp.f64 (*.f64 t (*.f64 1/2 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (-.f64 (*.f64 x 1/2) y) (*.f64 (sqrt.f64 (+.f64 z z)) (exp.f64 (*.f64 t (*.f64 1/2 t))))) (*.f64 (-.f64 (*.f64 x 1/2) y) (*.f64 (sqrt.f64 (+.f64 z z)) (exp.f64 (*.f64 t (*.f64 1/2 t))))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (*.f64 t (*.f64 1/2 t))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (exp.f64 (*.f64 t (*.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (exp.f64 (*.f64 t (*.f64 1/2 t)))) (*.f64 1/2 (exp.f64 (*.f64 t (*.f64 1/2 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (*.f64 t (*.f64 1/2 t))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (exp.f64 (*.f64 t (*.f64 1/2 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (exp.f64 (*.f64 t (*.f64 1/2 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (*.f64 t (*.f64 1/2 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (*.f64 t (*.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (exp.f64 (*.f64 t (*.f64 1/2 t))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (exp.f64 (*.f64 t (*.f64 1/2 t)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (exp.f64 (*.f64 t (*.f64 1/2 t))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (exp.f64 (*.f64 t (*.f64 1/2 t)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 (*.f64 t (*.f64 1/2 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (exp.f64 (*.f64 t (*.f64 1/2 t)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 (*.f64 t (*.f64 1/2 t))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (exp.f64 (*.f64 t (*.f64 1/2 t))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (exp.f64 (*.f64 t (*.f64 1/2 t))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (exp.f64 (*.f64 t (*.f64 1/2 t))) 4))) (*.f64 2 (*.f64 2 (*.f64 (exp.f64 (*.f64 t (*.f64 1/2 t))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (exp.f64 (*.f64 t (*.f64 1/2 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (exp.f64 (*.f64 t (*.f64 1/2 t))) (exp.f64 (*.f64 t (*.f64 1/2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x or (exp.f64 (*.f64 t (*.f64 1/2 t))) (exp.f64 (*.f64 t (*.f64 1/2 t))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (+.f64 z z)) (exp.f64 (*.f64 t (*.f64 1/2 t)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (+.f64 z z)) (exp.f64 (*.f64 t (*.f64 1/2 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (+.f64 z z)) (exp.f64 (*.f64 t (*.f64 1/2 t))))) (*.f64 1/2 (*.f64 (sqrt.f64 (+.f64 z z)) (exp.f64 (*.f64 t (*.f64 1/2 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 (+.f64 z z)) (exp.f64 (*.f64 t (*.f64 1/2 t)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 z z)) (exp.f64 (*.f64 t (*.f64 1/2 t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 z z)) (exp.f64 (*.f64 t (*.f64 1/2 t))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 z z)) (*.f64 (exp.f64 (*.f64 t (*.f64 1/2 t))) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 z z)) (*.f64 (exp.f64 (*.f64 t (*.f64 1/2 t))) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 z z)) (*.f64 (exp.f64 (*.f64 t (*.f64 1/2 t))) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 z z)) (*.f64 (exp.f64 (*.f64 t (*.f64 1/2 t))) 4)))) (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 z z)) (*.f64 (exp.f64 (*.f64 t (*.f64 1/2 t))) 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (sqrt.f64 (+.f64 z z)) (exp.f64 (*.f64 t (*.f64 1/2 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (sqrt.f64 (+.f64 z z)) (exp.f64 (*.f64 t (*.f64 1/2 t)))) (*.f64 (sqrt.f64 (+.f64 z z)) (exp.f64 (*.f64 t (*.f64 1/2 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (sqrt.f64 (+.f64 z z)) (exp.f64 (*.f64 t (*.f64 1/2 t)))) (*.f64 (sqrt.f64 (+.f64 z z)) (exp.f64 (*.f64 t (*.f64 1/2 t)))))))))

simplify183.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1390×	`rational.json-simplify-35`
1032×	`rational.json-simplify-38`
1028×	`rational.json-simplify-43`
930×	`rational.json-simplify-1`
920×	`rational.json-simplify-19`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	159	5108
1	364	5010
2	743	4950
3	2112	4686
4	3893	4686
5	4414	4686
6	4865	4686
7	6874	4686

Stop Event

1×	node limit

Counts

98 → 128

Calls

Call 1

Inputs
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) x)) (sqrt.f64 z))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) x)) (sqrt.f64 z))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) x)) (sqrt.f64 z))))
(.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (*.f64 1/2 (pow.f64 t 2))) x)) (sqrt.f64 z)))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) x)) (sqrt.f64 z))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) x)) (sqrt.f64 z))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) x)) (sqrt.f64 z))))
(.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (*.f64 1/2 (pow.f64 t 2))) x)) (sqrt.f64 z)))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) x)) (sqrt.f64 z))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) x)) (sqrt.f64 z))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) x)) (sqrt.f64 z))))
(.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (*.f64 1/2 (pow.f64 t 2))) x)) (sqrt.f64 z)))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) x)) (sqrt.f64 z))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) x)) (sqrt.f64 z))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) x)) (sqrt.f64 z))))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
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(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) x)) (sqrt.f64 z))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) x)) (sqrt.f64 z))))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) x)) (sqrt.f64 z))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) x)) (sqrt.f64 z))))
(+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z))) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) x)) (sqrt.f64 z))))
(.f64 (.f64 (sqrt.f64 2) (-.f64 (*.f64 1/2 x) y)) (sqrt.f64 z))
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(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 t 2) (-.f64 (.f64 1/2 x) y))) (sqrt.f64 z))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y)) (sqrt.f64 z)) (+.f64 (.f64 1/8 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 t 4) (-.f64 (.f64 1/2 x) y))) (sqrt.f64 z))) (.f64 1/48 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 t 6) (-.f64 (.f64 1/2 x) y))) (sqrt.f64 z))))))
(.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (-.f64 (*.f64 1/2 x) y))) (sqrt.f64 z))
(.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (-.f64 (*.f64 1/2 x) y))) (sqrt.f64 z))
(.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (-.f64 (*.f64 1/2 x) y))) (sqrt.f64 z))
(.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (-.f64 (*.f64 1/2 x) y))) (sqrt.f64 z))
(.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (-.f64 (*.f64 1/2 x) y))) (sqrt.f64 z))
(.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (-.f64 (*.f64 1/2 x) y))) (sqrt.f64 z))
(.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (-.f64 (*.f64 1/2 x) y))) (sqrt.f64 z))
(.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (-.f64 (*.f64 1/2 x) y))) (sqrt.f64 z))
1
(+.f64 1 (*.f64 1/2 (pow.f64 t 2)))
(+.f64 (.f64 1/8 (pow.f64 t 4)) (+.f64 1 (.f64 1/2 (pow.f64 t 2))))
(+.f64 (.f64 1/8 (pow.f64 t 4)) (+.f64 1 (+.f64 (.f64 1/48 (pow.f64 t 6)) (*.f64 1/2 (pow.f64 t 2)))))
(exp.f64 (*.f64 1/2 (pow.f64 t 2)))
(exp.f64 (*.f64 1/2 (pow.f64 t 2)))
(exp.f64 (*.f64 1/2 (pow.f64 t 2)))
(exp.f64 (*.f64 1/2 (pow.f64 t 2)))
(exp.f64 (*.f64 1/2 (pow.f64 t 2)))
(exp.f64 (*.f64 1/2 (pow.f64 t 2)))
(exp.f64 (*.f64 1/2 (pow.f64 t 2)))
(exp.f64 (*.f64 1/2 (pow.f64 t 2)))
(*.f64 (sqrt.f64 2) (sqrt.f64 z))
(+.f64 (.f64 (sqrt.f64 2) (sqrt.f64 z)) (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (pow.f64 t 2)) (sqrt.f64 z))))
(+.f64 (.f64 (sqrt.f64 2) (sqrt.f64 z)) (+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (pow.f64 t 2)) (sqrt.f64 z))) (.f64 1/8 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 t 4)) (sqrt.f64 z)))))
(+.f64 (.f64 (sqrt.f64 2) (sqrt.f64 z)) (+.f64 (.f64 1/48 (.f64 (.f64 (sqrt.f64 2) (pow.f64 t 6)) (sqrt.f64 z))) (+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (pow.f64 t 2)) (sqrt.f64 z))) (.f64 1/8 (.f64 (.f64 (sqrt.f64 2) (pow.f64 t 4)) (sqrt.f64 z))))))
(.f64 (.f64 (sqrt.f64 2) (exp.f64 (*.f64 1/2 (pow.f64 t 2)))) (sqrt.f64 z))
(.f64 (.f64 (sqrt.f64 2) (exp.f64 (*.f64 1/2 (pow.f64 t 2)))) (sqrt.f64 z))
(.f64 (.f64 (sqrt.f64 2) (exp.f64 (*.f64 1/2 (pow.f64 t 2)))) (sqrt.f64 z))
(.f64 (.f64 (sqrt.f64 2) (exp.f64 (*.f64 1/2 (pow.f64 t 2)))) (sqrt.f64 z))
(.f64 (.f64 (sqrt.f64 2) (exp.f64 (*.f64 1/2 (pow.f64 t 2)))) (sqrt.f64 z))
(.f64 (.f64 (sqrt.f64 2) (exp.f64 (*.f64 1/2 (pow.f64 t 2)))) (sqrt.f64 z))
(.f64 (.f64 (sqrt.f64 2) (exp.f64 (*.f64 1/2 (pow.f64 t 2)))) (sqrt.f64 z))
(.f64 (.f64 (sqrt.f64 2) (exp.f64 (*.f64 1/2 (pow.f64 t 2)))) (sqrt.f64 z))
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(+.f64 0 (.f64 (-.f64 (.f64 x 1/2) y) (.f64 (sqrt.f64 (+.f64 z z)) (exp.f64 (.f64 t (*.f64 1/2 t))))))
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(/.f64 (.f64 (-.f64 (.f64 x 1/2) y) (.f64 (sqrt.f64 (+.f64 z z)) (exp.f64 (.f64 t (*.f64 1/2 t))))) 1)
(/.f64 (.f64 (sqrt.f64 (+.f64 z z)) (.f64 (exp.f64 (.f64 t (.f64 1/2 t))) (-.f64 x (+.f64 y y)))) 2)
(/.f64 (.f64 (.f64 (sqrt.f64 (+.f64 z z)) (exp.f64 (.f64 t (.f64 1/2 t)))) (.f64 (-.f64 (.f64 x 1/2) y) 4)) 4)
(/.f64 (.f64 2 (.f64 (.f64 (sqrt.f64 (+.f64 z z)) (exp.f64 (.f64 t (.f64 1/2 t)))) (.f64 (-.f64 (*.f64 x 1/2) y) 4))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 (+.f64 z z)) (exp.f64 (.f64 t (.f64 1/2 t)))) (.f64 (-.f64 (.f64 x 1/2) y) 4)))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 (+.f64 z z)) (exp.f64 (.f64 t (.f64 1/2 t)))) (.f64 (-.f64 (.f64 x 1/2) y) 4)))) (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 (+.f64 z z)) (exp.f64 (.f64 t (.f64 1/2 t)))) (.f64 (-.f64 (.f64 x 1/2) y) 4))))) 32)
(+.f64 (exp.f64 (.f64 t (.f64 1/2 t))) 0)
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(-.f64 (exp.f64 (.f64 t (.f64 1/2 t))) 0)
(.f64 1/2 (.f64 2 (exp.f64 (.f64 t (.f64 1/2 t)))))
(.f64 2 (.f64 1/2 (exp.f64 (.f64 t (.f64 1/2 t)))))
(.f64 (exp.f64 (.f64 t (*.f64 1/2 t))) 1)
(.f64 1 (exp.f64 (.f64 t (*.f64 1/2 t))))
(.f64 4 (/.f64 (exp.f64 (.f64 t (*.f64 1/2 t))) 4))
(.f64 (.f64 2 (exp.f64 (.f64 t (.f64 1/2 t)))) 1/2)
(.f64 (.f64 (exp.f64 (.f64 t (.f64 1/2 t))) 4) 1/4)
(.f64 (.f64 1/2 (exp.f64 (.f64 t (.f64 1/2 t)))) 2)
(/.f64 (exp.f64 (.f64 t (.f64 1/2 t))) 1)
(/.f64 (.f64 2 (exp.f64 (.f64 t (*.f64 1/2 t)))) 2)
(/.f64 (.f64 (exp.f64 (.f64 t (*.f64 1/2 t))) 4) 4)
(/.f64 (.f64 2 (.f64 (exp.f64 (.f64 t (.f64 1/2 t))) 4)) 8)
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(+.f64 (.f64 (sqrt.f64 (+.f64 z z)) (exp.f64 (.f64 t (*.f64 1/2 t)))) 0)
(+.f64 0 (.f64 (sqrt.f64 (+.f64 z z)) (exp.f64 (.f64 t (*.f64 1/2 t)))))
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(/.f64 (.f64 (sqrt.f64 (+.f64 z z)) (exp.f64 (.f64 t (*.f64 1/2 t)))) 1)
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(/.f64 (.f64 (sqrt.f64 (+.f64 z z)) (.f64 (exp.f64 (.f64 t (.f64 1/2 t))) 4)) 4)
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(/.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 z z)) (.f64 (exp.f64 (.f64 t (.f64 1/2 t))) 4)))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 z z)) (.f64 (exp.f64 (.f64 t (.f64 1/2 t))) 4)))) (.f64 2 (.f64 2 (.f64 (sqrt.f64 (+.f64 z z)) (.f64 (exp.f64 (.f64 t (.f64 1/2 t))) 4))))) 32)

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

eval61.0ms (0.2%)

Compiler: Compiled 3370 to 2363 computations (29.9% saved)

prune29.0ms (0.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	122	6	128
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	122	7	129

Error

0.1b

Counts

129 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (neg.f64 (sqrt.f64 z))) (.f64 1/2 (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))))
✓	0.2b	(.f64 (-.f64 (.f64 x 1/2) y) (.f64 (sqrt.f64 (.f64 z 2)) (exp.f64 (*.f64 t (/.f64 t 2)))))
▶	1.3b	(.f64 (-.f64 (.f64 x 1/2) y) (.f64 (sqrt.f64 (.f64 z 2)) 1))
▶	1.6b	(.f64 (-.f64 (.f64 x 1/2) y) (*.f64 (sqrt.f64 2) (sqrt.f64 z)))
▶	1.6b	(.f64 (.f64 (sqrt.f64 2) (-.f64 (*.f64 1/2 x) y)) (sqrt.f64 z))
	31.6b	(.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (neg.f64 (sqrt.f64 z)))
▶	1.6b	(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)))

Compiler

Compiled 253 to 204 computations (19.4% saved)

localize56.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))
✓	0.3b	(.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (neg.f64 (sqrt.f64 z)))
✓	0.5b	(.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2)))))
✓	0.5b	(*.f64 (sqrt.f64 2) x)

Compiler

Compiled 138 to 98 computations (29% saved)

series14.0ms (0.1%)

Counts

4 → 28

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (neg.f64 (sqrt.f64 z)))
1.0ms	z	@	-inf	(.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))
1.0ms	t	@	0	(.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2)))))
1.0ms	z	@	-inf	(.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (neg.f64 (sqrt.f64 z)))
1.0ms	z	@	0	(.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (neg.f64 (sqrt.f64 z)))

rewrite85.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1532×	`bool.json-1`
1532×	`bool.json-2`
1492×	`rational.json-1`
1492×	`rational.json-2`
1492×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	112
1	197	112
2	491	112
3	1093	112
4	2472	112
5	5375	112

Stop Event

1×	node limit

Counts

4 → 33

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 2) x)
(.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2)))))
(.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (neg.f64 (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 2) x) (sqrt.f64 z))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 2) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (sqrt.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sqrt.f64 2) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 2) (+.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 2) (.f64 x 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sqrt.f64 2) (.f64 x 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 2) (.f64 x 4))) (.f64 2 (.f64 (sqrt.f64 2) (.f64 x 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 2) x))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (+.f64 y y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (.f64 y 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (.f64 y 4)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (.f64 y 4)))) (.f64 2 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (.f64 y 4))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 2) (.f64 y (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (neg.f64 (sqrt.f64 z))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (sqrt.f64 2) (.f64 y (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (neg.f64 (sqrt.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sqrt.f64 2) (.f64 y (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (neg.f64 (sqrt.f64 z))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 2) (.f64 y (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (neg.f64 (sqrt.f64 z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 1/2 (pow.f64 t 2)))) (.f64 -2 (.f64 y (sqrt.f64 z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (.f64 (sqrt.f64 z) -4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (.f64 (sqrt.f64 z) -4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (.f64 (sqrt.f64 z) -4))) (.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (.f64 (sqrt.f64 z) -4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 (sqrt.f64 2) (.f64 y (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (neg.f64 (sqrt.f64 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 (sqrt.f64 2) (.f64 y (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (neg.f64 (sqrt.f64 z))))) (.f64 (sqrt.f64 2) (.f64 y (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (neg.f64 (sqrt.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 (sqrt.f64 2) (.f64 y (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (neg.f64 (sqrt.f64 z))))) (.f64 (sqrt.f64 2) (.f64 y (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (neg.f64 (sqrt.f64 z))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 2) (.f64 x (sqrt.f64 z))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (sqrt.f64 2) (.f64 x (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sqrt.f64 2) (.f64 x (sqrt.f64 z))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 2) (.f64 x (sqrt.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 2) (.f64 2 (.f64 x (sqrt.f64 z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (.f64 x 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (.f64 x 4)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (.f64 x 4)))) (.f64 2 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (.f64 x 4))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 (sqrt.f64 2) (.f64 x (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 (sqrt.f64 2) (.f64 x (sqrt.f64 z))) (.f64 (sqrt.f64 2) (.f64 x (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 (sqrt.f64 2) (.f64 x (sqrt.f64 z))) (.f64 (sqrt.f64 2) (.f64 x (sqrt.f64 z))))))))

simplify269.0ms (1%)

Algorithm

1×	egg-herbie

Rules

3116×	`rational.json-simplify-53`
2534×	`rational.json-simplify-35`
1224×	`rational.json-simplify-51`
898×	`rational.json-simplify-1`
802×	`rational.json-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	131	2495
1	325	2465
2	774	2445
3	1996	2395
4	3575	2395
5	5344	2395
6	5858	2395
7	6324	2395
8	6325	2395
9	6325	2395
10	7817	2395
11	7821	2395

Stop Event

1×	node limit

Counts

61 → 81

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 2) y)
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 t 2)))) (.f64 (sqrt.f64 2) y))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 t 2)))) (+.f64 (.f64 (sqrt.f64 2) y) (.f64 1/8 (.f64 (sqrt.f64 2) (*.f64 y (pow.f64 t 4))))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 t 2)))) (+.f64 (.f64 1/48 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 t 6)))) (+.f64 (.f64 (sqrt.f64 2) y) (.f64 1/8 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 t 4)))))))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
(.f64 -1 (.f64 (*.f64 (sqrt.f64 2) y) (sqrt.f64 z)))
(+.f64 (.f64 -1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 t 2))) (sqrt.f64 z))) (.f64 -1 (.f64 (*.f64 (sqrt.f64 2) y) (sqrt.f64 z))))
(+.f64 (.f64 -1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 t 2))) (sqrt.f64 z))) (+.f64 (.f64 -1/8 (.f64 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 t 4))) (sqrt.f64 z))) (.f64 -1 (.f64 (*.f64 (sqrt.f64 2) y) (sqrt.f64 z)))))
(+.f64 (.f64 -1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 t 2))) (sqrt.f64 z))) (+.f64 (.f64 -1/48 (.f64 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 t 6))) (sqrt.f64 z))) (+.f64 (.f64 -1/8 (.f64 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 t 4))) (sqrt.f64 z))) (.f64 -1 (.f64 (*.f64 (sqrt.f64 2) y) (sqrt.f64 z))))))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(+.f64 0 (*.f64 (sqrt.f64 2) x))
(-.f64 (*.f64 (sqrt.f64 2) x) 0)
(/.f64 (*.f64 (sqrt.f64 2) x) 1)
(/.f64 (*.f64 (sqrt.f64 2) (+.f64 x x)) 2)
(/.f64 (.f64 (sqrt.f64 2) (.f64 x 4)) 4)
(/.f64 (.f64 2 (.f64 (sqrt.f64 2) (*.f64 x 4))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 2) (.f64 x 4))) (.f64 2 (.f64 (sqrt.f64 2) (.f64 x 4)))) 16)
(+.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) 0)
(+.f64 0 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))))
(-.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) 0)
(/.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) 1)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (*.f64 1/2 (pow.f64 t 2))) (+.f64 y y))) 2)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (.f64 y 4))) 4)
(/.f64 (.f64 2 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (*.f64 y 4)))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (.f64 y 4)))) (.f64 2 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (.f64 y 4))))) 16)
(+.f64 (.f64 (sqrt.f64 2) (.f64 y (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (neg.f64 (sqrt.f64 z))))) 0)
(+.f64 0 (.f64 (sqrt.f64 2) (.f64 y (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (neg.f64 (sqrt.f64 z))))))
(-.f64 (.f64 (sqrt.f64 2) (.f64 y (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (neg.f64 (sqrt.f64 z))))) 0)
(/.f64 (.f64 (sqrt.f64 2) (.f64 y (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (neg.f64 (sqrt.f64 z))))) 1)
(/.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 1/2 (pow.f64 t 2)))) (.f64 -2 (*.f64 y (sqrt.f64 z)))) 2)
(/.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (*.f64 (sqrt.f64 z) -4)) 4)
(/.f64 (.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (.f64 (sqrt.f64 z) -4))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (.f64 (sqrt.f64 z) -4))) (.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (.f64 (sqrt.f64 z) -4)))) 16)
(neg.f64 (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) y))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x (sqrt.f64 z))) 0)
(+.f64 0 (.f64 (sqrt.f64 2) (.f64 x (sqrt.f64 z))))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x (sqrt.f64 z))) 0)
(/.f64 (.f64 (sqrt.f64 2) (.f64 x (sqrt.f64 z))) 1)
(/.f64 (.f64 (sqrt.f64 2) (.f64 2 (*.f64 x (sqrt.f64 z)))) 2)
(/.f64 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (*.f64 x 4))) 4)
(/.f64 (.f64 2 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (.f64 x 4)))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (.f64 x 4)))) (.f64 2 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (.f64 x 4))))) 16)

Outputs
(*.f64 (sqrt.f64 2) y)
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 t 2)))) (.f64 (sqrt.f64 2) y))
(+.f64 (.f64 (sqrt.f64 2) y) (.f64 (sqrt.f64 2) (.f64 (.f64 y (pow.f64 t 2)) 1/2)))
(.f64 (sqrt.f64 2) (+.f64 y (.f64 1/2 (*.f64 y (pow.f64 t 2)))))
(.f64 (sqrt.f64 2) (+.f64 y (.f64 y (*.f64 1/2 (pow.f64 t 2)))))
(.f64 (sqrt.f64 2) (+.f64 y (.f64 (pow.f64 t 2) (*.f64 y 1/2))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 t 2)))) (+.f64 (.f64 (sqrt.f64 2) y) (.f64 1/8 (.f64 (sqrt.f64 2) (*.f64 y (pow.f64 t 4))))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 y (pow.f64 t 2)) 1/2)) (+.f64 (.f64 (sqrt.f64 2) y) (.f64 (sqrt.f64 2) (.f64 (*.f64 y (pow.f64 t 4)) 1/8))))
(+.f64 (.f64 y (.f64 (.f64 (sqrt.f64 2) (pow.f64 t 2)) 1/2)) (.f64 (sqrt.f64 2) (+.f64 y (.f64 1/8 (.f64 y (pow.f64 t 4))))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 y (.f64 1/2 (pow.f64 t 2))) (+.f64 y (.f64 (pow.f64 t 4) (*.f64 y 1/8)))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 y (.f64 (pow.f64 t 4) 1/8)) (+.f64 y (.f64 y (*.f64 1/2 (pow.f64 t 2))))))
(.f64 (sqrt.f64 2) (+.f64 y (+.f64 (.f64 (pow.f64 t 4) (.f64 y 1/8)) (.f64 (pow.f64 t 2) (*.f64 y 1/2)))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 t 2)))) (+.f64 (.f64 1/48 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 t 6)))) (+.f64 (.f64 (sqrt.f64 2) y) (.f64 1/8 (.f64 (sqrt.f64 2) (.f64 y (pow.f64 t 4)))))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 y (pow.f64 t 2)) 1/2)) (+.f64 (.f64 (sqrt.f64 2) y) (+.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 y (pow.f64 t 4)) 1/8)) (.f64 (sqrt.f64 2) (.f64 (.f64 y (pow.f64 t 6)) 1/48)))))
(+.f64 (.f64 y (.f64 (.f64 (sqrt.f64 2) (pow.f64 t 2)) 1/2)) (+.f64 (.f64 (sqrt.f64 2) (+.f64 y (.f64 1/8 (.f64 y (pow.f64 t 4))))) (.f64 1/48 (.f64 (sqrt.f64 2) (*.f64 y (pow.f64 t 6))))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 y (.f64 1/2 (pow.f64 t 2)))) (.f64 (sqrt.f64 2) (+.f64 (.f64 y (.f64 (pow.f64 t 6) 1/48)) (+.f64 y (.f64 (pow.f64 t 4) (.f64 y 1/8))))))
(.f64 (sqrt.f64 2) (+.f64 (+.f64 y (.f64 y (.f64 1/2 (pow.f64 t 2)))) (+.f64 (.f64 y (.f64 (pow.f64 t 4) 1/8)) (.f64 y (*.f64 (pow.f64 t 6) 1/48)))))
(.f64 (sqrt.f64 2) (+.f64 (.f64 (pow.f64 t 2) (.f64 y 1/2)) (+.f64 y (+.f64 (.f64 (pow.f64 t 4) (.f64 y 1/8)) (.f64 y (*.f64 (pow.f64 t 6) 1/48))))))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (neg.f64 (sqrt.f64 z)))
(.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (.f64 y (neg.f64 (sqrt.f64 z)))))
(.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (neg.f64 y))))
(.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (.f64 (sqrt.f64 2) (.f64 y (neg.f64 (sqrt.f64 z)))))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (neg.f64 (sqrt.f64 z)))
(.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (.f64 y (neg.f64 (sqrt.f64 z)))))
(.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (neg.f64 y))))
(.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (.f64 (sqrt.f64 2) (.f64 y (neg.f64 (sqrt.f64 z)))))
(.f64 -1 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2))))) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (neg.f64 (sqrt.f64 z)))
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(+.f64 0 (.f64 (sqrt.f64 2) (.f64 y (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (neg.f64 (sqrt.f64 z))))))
(.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (neg.f64 (sqrt.f64 z)))
(.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (.f64 y (neg.f64 (sqrt.f64 z)))))
(.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (neg.f64 y))))
(.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (.f64 (sqrt.f64 2) (.f64 y (neg.f64 (sqrt.f64 z)))))
(-.f64 (.f64 (sqrt.f64 2) (.f64 y (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (neg.f64 (sqrt.f64 z))))) 0)
(.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (neg.f64 (sqrt.f64 z)))
(.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (.f64 y (neg.f64 (sqrt.f64 z)))))
(.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (neg.f64 y))))
(.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (.f64 (sqrt.f64 2) (.f64 y (neg.f64 (sqrt.f64 z)))))
(/.f64 (.f64 (sqrt.f64 2) (.f64 y (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (neg.f64 (sqrt.f64 z))))) 1)
(.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (neg.f64 (sqrt.f64 z)))
(.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (.f64 y (neg.f64 (sqrt.f64 z)))))
(.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (neg.f64 y))))
(.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (.f64 (sqrt.f64 2) (.f64 y (neg.f64 (sqrt.f64 z)))))
(/.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 1/2 (pow.f64 t 2)))) (.f64 -2 (*.f64 y (sqrt.f64 z)))) 2)
(.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (neg.f64 (sqrt.f64 z)))
(.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (.f64 y (neg.f64 (sqrt.f64 z)))))
(.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (neg.f64 y))))
(.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (.f64 (sqrt.f64 2) (.f64 y (neg.f64 (sqrt.f64 z)))))
(/.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (*.f64 (sqrt.f64 z) -4)) 4)
(.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (neg.f64 (sqrt.f64 z)))
(.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (.f64 y (neg.f64 (sqrt.f64 z)))))
(.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (neg.f64 y))))
(.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (.f64 (sqrt.f64 2) (.f64 y (neg.f64 (sqrt.f64 z)))))
(/.f64 (.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (.f64 (sqrt.f64 z) -4))) 8)
(.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (neg.f64 (sqrt.f64 z)))
(.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (.f64 y (neg.f64 (sqrt.f64 z)))))
(.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (neg.f64 y))))
(.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (.f64 (sqrt.f64 2) (.f64 y (neg.f64 (sqrt.f64 z)))))
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (.f64 (sqrt.f64 z) -4))) (.f64 2 (.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (.f64 (sqrt.f64 z) -4)))) 16)
(.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (neg.f64 (sqrt.f64 z)))
(.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (.f64 y (neg.f64 (sqrt.f64 z)))))
(.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (neg.f64 y))))
(.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (.f64 (sqrt.f64 2) (.f64 y (neg.f64 (sqrt.f64 z)))))
(neg.f64 (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) y))))
(.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (neg.f64 (sqrt.f64 z)))
(.f64 (sqrt.f64 2) (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (.f64 y (neg.f64 (sqrt.f64 z)))))
(.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (neg.f64 y))))
(.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) (.f64 (sqrt.f64 2) (.f64 y (neg.f64 (sqrt.f64 z)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x (sqrt.f64 z))) 0)
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) x))
(+.f64 0 (.f64 (sqrt.f64 2) (.f64 x (sqrt.f64 z))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) x))
(-.f64 (.f64 (sqrt.f64 2) (.f64 x (sqrt.f64 z))) 0)
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) x))
(/.f64 (.f64 (sqrt.f64 2) (.f64 x (sqrt.f64 z))) 1)
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) x))
(/.f64 (.f64 (sqrt.f64 2) (.f64 2 (*.f64 x (sqrt.f64 z)))) 2)
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) x))
(/.f64 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (*.f64 x 4))) 4)
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) x))
(/.f64 (.f64 2 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (.f64 x 4)))) 8)
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) x))
(/.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (.f64 x 4)))) (.f64 2 (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 2) (.f64 x 4))))) 16)
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) x))

localize17.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (-.f64 (.f64 x 1/2) y) (.f64 (sqrt.f64 (.f64 z 2)) 1))

Compiler

Compiled 43 to 31 computations (27.9% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

9 calls:

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

rewrite84.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1540×	`bool.json-1`
1540×	`bool.json-2`
1484×	`rational.json-1`
1484×	`rational.json-2`
1484×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	29
1	151	29
2	358	29
3	674	29
4	1301	29
5	2878	29
6	5975	29

Stop Event

1×	node limit

Counts

1 → 10

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 (+.f64 z z))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (*.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 (+.f64 z z)))) (*.f64 1/2 (*.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 (+.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 (+.f64 z z))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 (+.f64 z z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 z z)) (-.f64 x (+.f64 y y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x 1/2) y) (*.f64 (sqrt.f64 (+.f64 z z)) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 (+.f64 z z))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 (+.f64 z z))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 (+.f64 z z))) 8)) (*.f64 2 (*.f64 (*.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 (+.f64 z z))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 (+.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 (+.f64 z z))) (*.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 (+.f64 z z))) (*.f64 (-.f64 (*.f64 x 1/2) y) (sqrt.f64 (+.f64 z z))))))))

simplify1.0s (3.7%)

Algorithm

1×	egg-herbie

Rules

5936×	`rational.json-simplify-41`
4926×	`rational.json-simplify-35`
1860×	`rational.json-simplify-2`
730×	`rational.json-simplify-53`
624×	`rational.json-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	48	1520
1	101	1478
2	208	1478
3	437	1298
4	1552	1298
5	2754	1298
6	3358	1298
7	3700	1298
8	3915	1298
9	4082	1298
10	4240	1298
11	4671	1298
12	4684	1298
13	4711	1298
14	4734	1298
15	4742	1298
16	4742	1298
17	4894	1298
18	5046	1298
19	5218	1298
20	5390	1298
21	5542	1298
22	5694	1298
23	5846	1298
24	5998	1298
25	5998	1298
26	5998	1298
27	6150	1298
28	6302	1298
29	6454	1298
30	6606	1298

Stop Event

1×	node limit

Counts

34 → 31

Calls

Call 1

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

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

localize16.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (sqrt.f64 z) (-.f64 (.f64 1/2 x) y))
✓	0.5b	(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)))

Compiler

Compiled 40 to 25 computations (37.5% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

18 calls:

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

rewrite97.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1756×	`bool.json-1`
1756×	`bool.json-2`
1140×	`bool.json-3`
1016×	`rational.json-simplify-51`
1016×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	56
1	136	56
2	341	56
3	694	56
4	1401	56
5	3188	56
6	6768	56

Stop Event

1×	node limit

Counts

2 → 20

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 2) (*.f64 1/2 (-.f64 (*.f64 1/2 x) y)))) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 2) (*.f64 1/2 (-.f64 (*.f64 1/2 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 2) (-.f64 x (+.f64 y y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (*.f64 1/2 x) y) (*.f64 (sqrt.f64 z) 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y))) 8)) (*.f64 2 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y))) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y))) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 z) (*.f64 1/2 (-.f64 (*.f64 1/2 x) y))) (*.f64 (sqrt.f64 z) (*.f64 1/2 (-.f64 (*.f64 1/2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 z) (-.f64 x (+.f64 y y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 1/2 x) y) (*.f64 (sqrt.f64 z) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)) 8)) (*.f64 2 (*.f64 (*.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)))))))

simplify549.0ms (2%)

Algorithm

1×	egg-herbie

Rules

3696×	`rational.json-simplify-35`
2818×	`rational.json-simplify-53`
2452×	`rational.json-simplify-2`
1126×	`rational.json-simplify-1`
984×	`rational.json-simplify-49`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	71	2600
1	165	2516
2	361	2336
3	826	2156
4	2342	2156
5	3899	2156
6	4560	2156
7	4794	2156
8	4981	2156
9	5166	2156
10	6054	2156
11	6054	2156
12	6056	2156
13	6056	2156
14	6241	2156
15	6426	2156
16	6611	2156
17	6796	2156
18	6981	2156

Stop Event

1×	node limit

Counts

68 → 52

Calls

Call 1

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

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

localize18.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (.f64 (sqrt.f64 2) (-.f64 (*.f64 1/2 x) y)) (sqrt.f64 z))
✓	0.5b	(.f64 (sqrt.f64 2) (-.f64 (.f64 1/2 x) y))

Compiler

Compiled 40 to 27 computations (32.5% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

15 calls:

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

rewrite92.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1748×	`bool.json-1`
1748×	`bool.json-2`
1692×	`rational.json-1`
1134×	`bool.json-3`
1010×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	56
1	134	56
2	327	56
3	666	56
4	1367	56
5	3114	56
6	6643	56

Stop Event

1×	node limit

Counts

2 → 20

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (-.f64 (*.f64 1/2 x) y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 2) (-.f64 (*.f64 1/2 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (*.f64 1/2 x) y) (*.f64 (sqrt.f64 2) 1/2)) (*.f64 (-.f64 (*.f64 1/2 x) y) (*.f64 (sqrt.f64 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (-.f64 (*.f64 1/2 x) y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (-.f64 (*.f64 1/2 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (-.f64 x (+.f64 y y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 1/2 x) y) (*.f64 (sqrt.f64 2) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 2) (-.f64 (*.f64 1/2 x) y)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 2) (-.f64 (*.f64 1/2 x) y)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 2) (-.f64 (*.f64 1/2 x) y)) 8)) (*.f64 2 (*.f64 (*.f64 (sqrt.f64 2) (-.f64 (*.f64 1/2 x) y)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (sqrt.f64 2) (-.f64 (*.f64 1/2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (sqrt.f64 2) (-.f64 (*.f64 1/2 x) y)) (*.f64 (sqrt.f64 2) (-.f64 (*.f64 1/2 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (sqrt.f64 2) (-.f64 (*.f64 1/2 x) y)) (*.f64 (sqrt.f64 2) (-.f64 (*.f64 1/2 x) y)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (*.f64 1/2 x) y) (sqrt.f64 z))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (*.f64 1/2 x) y) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (/.f64 (*.f64 (-.f64 (*.f64 1/2 x) y) (sqrt.f64 z)) 2)) (*.f64 (sqrt.f64 2) (/.f64 (*.f64 (-.f64 (*.f64 1/2 x) y) (sqrt.f64 z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (*.f64 1/2 x) y) (sqrt.f64 z))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (*.f64 1/2 x) y) (sqrt.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x (+.f64 y y)) (*.f64 (sqrt.f64 2) (sqrt.f64 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 z) (*.f64 (-.f64 (*.f64 1/2 x) y) (*.f64 (sqrt.f64 2) 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (*.f64 1/2 x) y) (sqrt.f64 z))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (*.f64 1/2 x) y) (sqrt.f64 z))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (*.f64 1/2 x) y) (sqrt.f64 z))) 8)) (*.f64 2 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (*.f64 1/2 x) y) (sqrt.f64 z))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (*.f64 1/2 x) y) (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (*.f64 1/2 x) y) (sqrt.f64 z))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (*.f64 1/2 x) y) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (*.f64 1/2 x) y) (sqrt.f64 z))) (*.f64 (sqrt.f64 2) (*.f64 (-.f64 (*.f64 1/2 x) y) (sqrt.f64 z))))))))

simplify522.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

3822×	`rational.json-simplify-53`
3478×	`rational.json-simplify-35`
2574×	`rational.json-simplify-2`
1188×	`rational.json-simplify-1`
934×	`rational.json-simplify-49`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	70	2600
1	166	2516
2	358	2336
3	833	1976
4	2210	1976
5	3801	1976
6	4497	1976
7	4732	1976
8	4913	1976
9	5088	1976
10	6056	1976
11	6058	1976
12	6060	1976
13	6060	1976
14	6229	1976
15	6398	1976
16	6567	1976
17	6736	1976
18	6905	1976

Stop Event

1×	node limit

Counts

68 → 54

Calls

Call 1

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

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

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (-.f64 (.f64 x 1/2) y) (*.f64 (sqrt.f64 2) (sqrt.f64 z)))
✓	0.4b	(*.f64 (sqrt.f64 2) (sqrt.f64 z))

Compiler

Compiled 37 to 24 computations (35.1% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

12 calls:

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

rewrite98.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1766×	`bool.json-1`
1766×	`bool.json-2`
1146×	`bool.json-3`
1028×	`rational.json-simplify-2`
1014×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	48
1	136	48
2	341	48
3	694	48
4	1401	48
5	3194	48
6	6793	48

Stop Event

1×	node limit

Counts

2 → 20

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 2) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 z) 1/2)) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 z) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 z) (*.f64 2 (sqrt.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 z) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 z)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 z)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 z)) 8)) (*.f64 2 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 z)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (sqrt.f64 2) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (sqrt.f64 2) (sqrt.f64 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (sqrt.f64 2) (sqrt.f64 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 z)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 x 1/2) y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 x 1/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (/.f64 (*.f64 (sqrt.f64 z) (-.f64 x (+.f64 y y))) 4)) (*.f64 (sqrt.f64 2) (/.f64 (*.f64 (sqrt.f64 z) (-.f64 x (+.f64 y y))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 x 1/2) y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 x 1/2) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 z) (-.f64 x (+.f64 y y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 z) (-.f64 x (+.f64 y y))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 z) (-.f64 x (+.f64 y y)))) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 z) (-.f64 x (+.f64 y y)))) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 z) (-.f64 x (+.f64 y y)))) 4)) (*.f64 2 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 z) (-.f64 x (+.f64 y y)))) 4))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 x 1/2) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 x 1/2) y))) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 x 1/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 x 1/2) y))) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 x 1/2) y))))))))

simplify415.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

4642×	`rational.json-simplify-53`
3040×	`rational.json-simplify-35`
2566×	`rational.json-simplify-2`
1248×	`rational.json-simplify-1`
826×	`rational.json-simplify-41`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	68	2004
1	161	1758
2	348	1698
3	1100	1518
4	2205	1518
5	4094	1518
6	4757	1518
7	4947	1518
8	5103	1518
9	5256	1518
10	6221	1518
11	6223	1518
12	6233	1518
13	6233	1518
14	6387	1518
15	6541	1518
16	6695	1518
17	6849	1518

Stop Event

1×	node limit

Counts

44 → 41

Calls

Call 1

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

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

eval93.0ms (0.3%)

Compiler: Compiled 5729 to 3902 computations (31.9% saved)

prune44.0ms (0.2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	252	7	259
Fresh	0	1	1
Picked	1	0	1
Done	3	2	5
Total	256	10	266

Error

0.1b

Counts

266 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.6b	(+.f64 (.f64 (.f64 (sqrt.f64 2) y) (neg.f64 (sqrt.f64 z))) (.f64 (sqrt.f64 z) (.f64 (*.f64 (sqrt.f64 2) x) 1/2)))
✓	0.2b	(.f64 (-.f64 (.f64 x 1/2) y) (.f64 (sqrt.f64 (.f64 z 2)) (exp.f64 (*.f64 t (/.f64 t 2)))))
▶	1.3b	(.f64 (-.f64 (.f64 1/2 x) y) (sqrt.f64 (+.f64 z z)))
	31.6b	(.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (neg.f64 (sqrt.f64 z)))
▶	31.6b	(.f64 (.f64 (sqrt.f64 2) (*.f64 1/2 x)) (sqrt.f64 z))
	32.0b	(.f64 (.f64 y (sqrt.f64 z)) (neg.f64 (sqrt.f64 2)))
	31.6b	(.f64 (.f64 1/2 x) (*.f64 (sqrt.f64 2) (sqrt.f64 z)))
▶	31.6b	(.f64 (sqrt.f64 2) (.f64 (*.f64 (sqrt.f64 z) x) 1/2))
✓	1.6b	(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)))
▶	32.0b	(.f64 y (neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 z))))

Compiler

Compiled 272 to 220 computations (19.1% saved)

localize12.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (-.f64 (.f64 1/2 x) y) (sqrt.f64 (+.f64 z z)))

Compiler

Compiled 33 to 16 computations (51.5% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

9 calls:

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

rewrite85.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1452×	`bool.json-1`
1452×	`bool.json-2`
1394×	`rational.json-1`
1394×	`rational.json-2`
1394×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	115	29
2	289	29
3	584	29
4	1185	29
5	2648	29
6	5560	29

Stop Event

1×	node limit

Counts

1 → 10

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (*.f64 1/2 x) y) (sqrt.f64 (+.f64 z z))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 (*.f64 1/2 x) y) (sqrt.f64 (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (*.f64 (-.f64 (*.f64 1/2 x) y) (sqrt.f64 (+.f64 z z)))) (*.f64 1/2 (*.f64 (-.f64 (*.f64 1/2 x) y) (sqrt.f64 (+.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (-.f64 (*.f64 1/2 x) y) (sqrt.f64 (+.f64 z z))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 1/2 x) y) (sqrt.f64 (+.f64 z z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 z z)) (-.f64 x (+.f64 y y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 z z)) (*.f64 2 (-.f64 x (+.f64 y y)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x (+.f64 y y)) (*.f64 (sqrt.f64 (+.f64 z z)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 x (+.f64 y y)) (*.f64 (sqrt.f64 (+.f64 z z)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 x (+.f64 y y)) (*.f64 (sqrt.f64 (+.f64 z z)) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (-.f64 (*.f64 1/2 x) y) (sqrt.f64 (+.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (-.f64 (*.f64 1/2 x) y) (sqrt.f64 (+.f64 z z))) (*.f64 (-.f64 (*.f64 1/2 x) y) (sqrt.f64 (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (-.f64 (*.f64 1/2 x) y) (sqrt.f64 (+.f64 z z))) (*.f64 (-.f64 (*.f64 1/2 x) y) (sqrt.f64 (+.f64 z z))))))))

simplify358.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

3588×	`rational.json-simplify-41`
2754×	`rational.json-simplify-2`
1960×	`rational.json-simplify-35`
1240×	`rational.json-simplify-53`
724×	`rational.json-simplify-51`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	49	1544
1	110	1502
2	223	1502
3	472	1322
4	1100	1142
5	2348	1142
6	3307	1142
7	3448	1142
8	3573	1142
9	3663	1142
10	3752	1142
11	3837	1142
12	4705	1142
13	4803	1142
14	4889	1142
15	4974	1142
16	5059	1142
17	5144	1142
18	5144	1142
19	7627	1142
20	7633	1142

Stop Event

1×	node limit

Counts

34 → 30

Calls

Call 1

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

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

localize12.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 y (neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 z))))
	0.4b	(*.f64 (sqrt.f64 2) (sqrt.f64 z))

Compiler

Compiled 30 to 20 computations (33.3% saved)

series4.0ms (0%)

Counts

1 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	z	@	-inf	(.f64 y (neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 z))))
1.0ms	z	@	0	(.f64 y (neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 z))))
1.0ms	y	@	0	(.f64 y (neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 z))))
0.0ms	y	@	inf	(.f64 y (neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 z))))
0.0ms	z	@	inf	(.f64 y (neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 z))))

rewrite88.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1848×	`bool.json-1`
1848×	`bool.json-2`
1806×	`rational.json-1`
1134×	`bool.json-3`
1030×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	25
1	110	25
2	293	25
3	641	25
4	1457	25
5	3571	25
6	6702	25

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

Inputs
(.f64 y (neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 z))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 (sqrt.f64 2) (neg.f64 (sqrt.f64 z)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (*.f64 (sqrt.f64 2) (neg.f64 (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (*.f64 y (*.f64 (sqrt.f64 2) (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (*.f64 (sqrt.f64 2) -1/2)) (*.f64 (*.f64 y (sqrt.f64 z)) (*.f64 (sqrt.f64 2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 y (*.f64 (sqrt.f64 2) (neg.f64 (sqrt.f64 z)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 y (*.f64 (sqrt.f64 2) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (*.f64 (sqrt.f64 2) (neg.f64 (sqrt.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 z) -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -4 (*.f64 y (*.f64 (sqrt.f64 2) (sqrt.f64 z)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (*.f64 (sqrt.f64 2) (sqrt.f64 z))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 -4 (*.f64 y (*.f64 (sqrt.f64 2) (sqrt.f64 z))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 -4 (*.f64 y (*.f64 (sqrt.f64 2) (sqrt.f64 z)))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 -4 (*.f64 y (*.f64 (sqrt.f64 2) (sqrt.f64 z)))))) (*.f64 2 (*.f64 2 (*.f64 -4 (*.f64 y (*.f64 (sqrt.f64 2) (sqrt.f64 z))))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 y (*.f64 (sqrt.f64 2) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 y (*.f64 (sqrt.f64 2) (neg.f64 (sqrt.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 y (*.f64 (sqrt.f64 2) (neg.f64 (sqrt.f64 z)))) (*.f64 y (*.f64 (sqrt.f64 2) (neg.f64 (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 y (*.f64 (sqrt.f64 2) (neg.f64 (sqrt.f64 z)))) (*.f64 y (*.f64 (sqrt.f64 2) (neg.f64 (sqrt.f64 z)))))))))

simplify436.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

3630×	`rational.json-simplify-35`
2606×	`rational.json-simplify-2`
1576×	`rational.json-simplify-53`
1064×	`rational.json-simplify-1`
676×	`rational.json-simplify-43`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	650
1	119	650
2	249	650
3	686	650
4	1999	650
5	3446	650
6	4490	650
7	4894	650
8	5231	650
9	5320	650
10	5372	650
11	5878	650
12	6480	650
13	6496	650
14	6850	650
15	7170	650
16	7584	650
17	7969	650

Stop Event

1×	node limit

Counts

26 → 18

Calls

Call 1

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

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

localize11.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (sqrt.f64 z) x)
✓	0.4b	(.f64 (sqrt.f64 2) (.f64 (*.f64 (sqrt.f64 z) x) 1/2))

Compiler

Compiled 31 to 17 computations (45.2% saved)

series5.0ms (0%)

Counts

2 → 12

Calls

12 calls:

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

rewrite84.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1582×	`bool.json-1`
1582×	`bool.json-2`
1538×	`rational.json-1`
1538×	`rational.json-2`
1080×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	38
1	118	38
2	305	38
3	648	38
4	1378	38
5	3213	38
6	6508	38

Stop Event

1×	node limit

Counts

2 → 20

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 1/2) (*.f64 (sqrt.f64 2) (sqrt.f64 z))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 x 1/2) (*.f64 (sqrt.f64 2) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 z) (*.f64 x 1/4))) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 z) (*.f64 x 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 x 1/2) (*.f64 (sqrt.f64 2) (sqrt.f64 z))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x 1/2) (*.f64 (sqrt.f64 2) (sqrt.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 z) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 z) x))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 z) (*.f64 x 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 z) (*.f64 x 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 z) (*.f64 x 4)))) (*.f64 2 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 z) (*.f64 x 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (*.f64 x 1/2) (*.f64 (sqrt.f64 2) (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (*.f64 x 1/2) (*.f64 (sqrt.f64 2) (sqrt.f64 z))) (*.f64 (*.f64 x 1/2) (*.f64 (sqrt.f64 2) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (*.f64 x 1/2) (*.f64 (sqrt.f64 2) (sqrt.f64 z))) (*.f64 (*.f64 x 1/2) (*.f64 (sqrt.f64 2) (sqrt.f64 z))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 z) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 z) (*.f64 x 1/2)) (*.f64 (sqrt.f64 z) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 z) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 z) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 z) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 z) (*.f64 x 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 z) x) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 z) x) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 z) x) 8)) (*.f64 2 (*.f64 (*.f64 (sqrt.f64 z) x) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (sqrt.f64 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (sqrt.f64 z) x) (*.f64 (sqrt.f64 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (sqrt.f64 z) x) (*.f64 (sqrt.f64 z) x))))))

simplify390.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

3820×	`rational.json-simplify-53`
2500×	`rational.json-simplify-2`
2198×	`rational.json-simplify-35`
1390×	`rational.json-simplify-1`
910×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	704
1	146	704
2	342	704
3	1121	704
4	2477	704
5	4196	704
6	4355	704
7	4476	704
8	4585	704
9	4695	704
10	5584	704
11	6135	704
12	6265	704
13	6373	704
14	6374	704
15	6374	704
16	6481	704

Stop Event

1×	node limit

Counts

32 → 26

Calls

Call 1

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

Outputs
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 z) 1/2))
(.f64 1/2 (.f64 x (*.f64 (sqrt.f64 2) (sqrt.f64 z))))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z)))
(.f64 (.f64 1/2 x) (*.f64 (sqrt.f64 2) (sqrt.f64 z)))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 z) 1/2))
(.f64 1/2 (.f64 x (*.f64 (sqrt.f64 2) (sqrt.f64 z))))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z)))
(.f64 (.f64 1/2 x) (*.f64 (sqrt.f64 2) (sqrt.f64 z)))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 z) 1/2))
(.f64 1/2 (.f64 x (*.f64 (sqrt.f64 2) (sqrt.f64 z))))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z)))
(.f64 (.f64 1/2 x) (*.f64 (sqrt.f64 2) (sqrt.f64 z)))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 z) 1/2))
(.f64 1/2 (.f64 x (*.f64 (sqrt.f64 2) (sqrt.f64 z))))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z)))
(.f64 (.f64 1/2 x) (*.f64 (sqrt.f64 2) (sqrt.f64 z)))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 z) 1/2))
(.f64 1/2 (.f64 x (*.f64 (sqrt.f64 2) (sqrt.f64 z))))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z)))
(.f64 (.f64 1/2 x) (*.f64 (sqrt.f64 2) (sqrt.f64 z)))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 z) 1/2))
(.f64 1/2 (.f64 x (*.f64 (sqrt.f64 2) (sqrt.f64 z))))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z)))
(.f64 (.f64 1/2 x) (*.f64 (sqrt.f64 2) (sqrt.f64 z)))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 z) 1/2))
(.f64 1/2 (.f64 x (*.f64 (sqrt.f64 2) (sqrt.f64 z))))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z)))
(.f64 (.f64 1/2 x) (*.f64 (sqrt.f64 2) (sqrt.f64 z)))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 z) 1/2))
(.f64 1/2 (.f64 x (*.f64 (sqrt.f64 2) (sqrt.f64 z))))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z)))
(.f64 (.f64 1/2 x) (*.f64 (sqrt.f64 2) (sqrt.f64 z)))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 z) 1/2))
(.f64 1/2 (.f64 x (*.f64 (sqrt.f64 2) (sqrt.f64 z))))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z)))
(.f64 (.f64 1/2 x) (*.f64 (sqrt.f64 2) (sqrt.f64 z)))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 z) 1/2))
(.f64 1/2 (.f64 x (*.f64 (sqrt.f64 2) (sqrt.f64 z))))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z)))
(.f64 (.f64 1/2 x) (*.f64 (sqrt.f64 2) (sqrt.f64 z)))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 z) 1/2))
(.f64 1/2 (.f64 x (*.f64 (sqrt.f64 2) (sqrt.f64 z))))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z)))
(.f64 (.f64 1/2 x) (*.f64 (sqrt.f64 2) (sqrt.f64 z)))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 z) 1/2))
(.f64 1/2 (.f64 x (*.f64 (sqrt.f64 2) (sqrt.f64 z))))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z)))
(.f64 (.f64 1/2 x) (*.f64 (sqrt.f64 2) (sqrt.f64 z)))
(+.f64 (.f64 (.f64 x 1/2) (*.f64 (sqrt.f64 2) (sqrt.f64 z))) 0)
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 z) 1/2))
(.f64 1/2 (.f64 x (*.f64 (sqrt.f64 2) (sqrt.f64 z))))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z)))
(.f64 (.f64 1/2 x) (*.f64 (sqrt.f64 2) (sqrt.f64 z)))
(+.f64 0 (.f64 (.f64 x 1/2) (*.f64 (sqrt.f64 2) (sqrt.f64 z))))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 z) 1/2))
(.f64 1/2 (.f64 x (*.f64 (sqrt.f64 2) (sqrt.f64 z))))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z)))
(.f64 (.f64 1/2 x) (*.f64 (sqrt.f64 2) (sqrt.f64 z)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (.f64 x 1/4))) (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (.f64 x 1/4))))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 z) 1/2))
(.f64 1/2 (.f64 x (*.f64 (sqrt.f64 2) (sqrt.f64 z))))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z)))
(.f64 (.f64 1/2 x) (*.f64 (sqrt.f64 2) (sqrt.f64 z)))
(-.f64 (.f64 (.f64 x 1/2) (*.f64 (sqrt.f64 2) (sqrt.f64 z))) 0)
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 z) 1/2))
(.f64 1/2 (.f64 x (*.f64 (sqrt.f64 2) (sqrt.f64 z))))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z)))
(.f64 (.f64 1/2 x) (*.f64 (sqrt.f64 2) (sqrt.f64 z)))
(/.f64 (.f64 (.f64 x 1/2) (*.f64 (sqrt.f64 2) (sqrt.f64 z))) 1)
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 z) 1/2))
(.f64 1/2 (.f64 x (*.f64 (sqrt.f64 2) (sqrt.f64 z))))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z)))
(.f64 (.f64 1/2 x) (*.f64 (sqrt.f64 2) (sqrt.f64 z)))
(/.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) x)) 2)
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 z) 1/2))
(.f64 1/2 (.f64 x (*.f64 (sqrt.f64 2) (sqrt.f64 z))))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z)))
(.f64 (.f64 1/2 x) (*.f64 (sqrt.f64 2) (sqrt.f64 z)))
(/.f64 (.f64 2 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 z) x))) 4)
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 z) 1/2))
(.f64 1/2 (.f64 x (*.f64 (sqrt.f64 2) (sqrt.f64 z))))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z)))
(.f64 (.f64 1/2 x) (*.f64 (sqrt.f64 2) (sqrt.f64 z)))
(/.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (*.f64 x 4))) 8)
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 z) 1/2))
(.f64 1/2 (.f64 x (*.f64 (sqrt.f64 2) (sqrt.f64 z))))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z)))
(.f64 (.f64 1/2 x) (*.f64 (sqrt.f64 2) (sqrt.f64 z)))
(/.f64 (.f64 2 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (.f64 x 4)))) 16)
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 z) 1/2))
(.f64 1/2 (.f64 x (*.f64 (sqrt.f64 2) (sqrt.f64 z))))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z)))
(.f64 (.f64 1/2 x) (*.f64 (sqrt.f64 2) (sqrt.f64 z)))
(/.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (.f64 x 4)))) (.f64 2 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (.f64 x 4))))) 32)
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 z) 1/2))
(.f64 1/2 (.f64 x (*.f64 (sqrt.f64 2) (sqrt.f64 z))))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z)))
(.f64 (.f64 1/2 x) (*.f64 (sqrt.f64 2) (sqrt.f64 z)))
(+.f64 (*.f64 (sqrt.f64 z) x) 0)
(*.f64 x (sqrt.f64 z))
(+.f64 (.f64 (sqrt.f64 z) (.f64 x 1/2)) (.f64 (sqrt.f64 z) (.f64 x 1/2)))
(*.f64 x (sqrt.f64 z))
(+.f64 0 (*.f64 (sqrt.f64 z) x))
(*.f64 x (sqrt.f64 z))
(-.f64 (*.f64 (sqrt.f64 z) x) 0)
(*.f64 x (sqrt.f64 z))
(/.f64 (*.f64 (sqrt.f64 z) x) 1)
(*.f64 x (sqrt.f64 z))
(/.f64 (.f64 2 (.f64 (sqrt.f64 z) x)) 2)
(*.f64 x (sqrt.f64 z))
(/.f64 (.f64 (sqrt.f64 z) (.f64 x 4)) 4)
(*.f64 x (sqrt.f64 z))
(/.f64 (.f64 (.f64 (sqrt.f64 z) x) 8) 8)
(*.f64 x (sqrt.f64 z))
(/.f64 (.f64 2 (.f64 (*.f64 (sqrt.f64 z) x) 8)) 16)
(*.f64 x (sqrt.f64 z))
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 (sqrt.f64 z) x) 8)) (.f64 2 (.f64 (.f64 (sqrt.f64 z) x) 8))) 32)
(*.f64 x (sqrt.f64 z))

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (.f64 (sqrt.f64 2) (*.f64 1/2 x)) (sqrt.f64 z))
✓	0.5b	(.f64 (sqrt.f64 2) (.f64 1/2 x))

Compiler

Compiled 30 to 22 computations (26.7% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

9 calls:

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

rewrite83.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1614×	`bool.json-1`
1614×	`bool.json-2`
1570×	`rational.json-1`
1570×	`rational.json-2`
1104×	`bool.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	44
1	118	44
2	307	44
3	656	44
4	1342	44
5	3190	44
6	6427	44

Stop Event

1×	node limit

Counts

2 → 20

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (*.f64 1/2 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 2) (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (*.f64 x 1/4)) (*.f64 (sqrt.f64 2) (*.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (*.f64 1/2 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (*.f64 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 2) x)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (*.f64 x 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 2) (*.f64 x 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (sqrt.f64 2) (*.f64 x 4))) (*.f64 2 (*.f64 (sqrt.f64 2) (*.f64 x 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (sqrt.f64 2) (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (sqrt.f64 2) (*.f64 1/2 x)) (*.f64 (sqrt.f64 2) (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (sqrt.f64 2) (*.f64 1/2 x)) (*.f64 (sqrt.f64 2) (*.f64 1/2 x)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (/.f64 (*.f64 x (sqrt.f64 z)) 4)) (*.f64 (sqrt.f64 2) (/.f64 (*.f64 x (sqrt.f64 z)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (*.f64 x (sqrt.f64 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 2) (*.f64 x (sqrt.f64 z)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 z) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 z) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 z) 4))) (*.f64 2 (*.f64 (*.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 z) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (*.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (*.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z))) (*.f64 (*.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (*.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z))) (*.f64 (*.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z))))))))

simplify4.9s (17.9%)

Algorithm

1×	egg-herbie

Rules

3674×	`rational.json-simplify-35`
2746×	`rational.json-simplify-53`
1622×	`rational.json-simplify-2`
1264×	`rational.json-simplify-1`
896×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	968
1	145	968
2	341	968
3	894	968
4	2230	968
5	3650	968
6	4289	968
7	4478	968
8	4616	968
9	4751	968
10	4886	968
11	5122	968
12	5122	968
13	5257	968
14	5392	968
15	7263	968
16	7399	968
17	7520	968
18	7641	968
19	7762	968
20	7883	968

Stop Event

1×	node limit

Counts

44 → 27

Calls

Call 1

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

Outputs
(.f64 1/2 (.f64 (sqrt.f64 2) x))
(.f64 1/2 (.f64 (sqrt.f64 2) x))
(.f64 1/2 (.f64 (sqrt.f64 2) x))
(.f64 1/2 (.f64 (sqrt.f64 2) x))
(.f64 1/2 (.f64 (sqrt.f64 2) x))
(.f64 1/2 (.f64 (sqrt.f64 2) x))
(.f64 1/2 (.f64 (sqrt.f64 2) x))
(.f64 1/2 (.f64 (sqrt.f64 2) x))
(.f64 1/2 (.f64 (sqrt.f64 2) x))
(.f64 1/2 (.f64 (sqrt.f64 2) x))
(.f64 1/2 (.f64 (sqrt.f64 2) x))
(.f64 1/2 (.f64 (sqrt.f64 2) x))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z)))
(.f64 (sqrt.f64 z) (.f64 1/2 (*.f64 (sqrt.f64 2) x)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (*.f64 1/2 x)))
(.f64 (sqrt.f64 2) (.f64 x (/.f64 (sqrt.f64 z) 2)))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 x (sqrt.f64 z))))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z)))
(.f64 (sqrt.f64 z) (.f64 1/2 (*.f64 (sqrt.f64 2) x)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (*.f64 1/2 x)))
(.f64 (sqrt.f64 2) (.f64 x (/.f64 (sqrt.f64 z) 2)))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 x (sqrt.f64 z))))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z)))
(.f64 (sqrt.f64 z) (.f64 1/2 (*.f64 (sqrt.f64 2) x)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (*.f64 1/2 x)))
(.f64 (sqrt.f64 2) (.f64 x (/.f64 (sqrt.f64 z) 2)))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 x (sqrt.f64 z))))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z)))
(.f64 (sqrt.f64 z) (.f64 1/2 (*.f64 (sqrt.f64 2) x)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (*.f64 1/2 x)))
(.f64 (sqrt.f64 2) (.f64 x (/.f64 (sqrt.f64 z) 2)))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 x (sqrt.f64 z))))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z)))
(.f64 (sqrt.f64 z) (.f64 1/2 (*.f64 (sqrt.f64 2) x)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (*.f64 1/2 x)))
(.f64 (sqrt.f64 2) (.f64 x (/.f64 (sqrt.f64 z) 2)))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 x (sqrt.f64 z))))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z)))
(.f64 (sqrt.f64 z) (.f64 1/2 (*.f64 (sqrt.f64 2) x)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (*.f64 1/2 x)))
(.f64 (sqrt.f64 2) (.f64 x (/.f64 (sqrt.f64 z) 2)))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 x (sqrt.f64 z))))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z)))
(.f64 (sqrt.f64 z) (.f64 1/2 (*.f64 (sqrt.f64 2) x)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (*.f64 1/2 x)))
(.f64 (sqrt.f64 2) (.f64 x (/.f64 (sqrt.f64 z) 2)))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 x (sqrt.f64 z))))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z)))
(.f64 (sqrt.f64 z) (.f64 1/2 (*.f64 (sqrt.f64 2) x)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (*.f64 1/2 x)))
(.f64 (sqrt.f64 2) (.f64 x (/.f64 (sqrt.f64 z) 2)))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 x (sqrt.f64 z))))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z)))
(.f64 (sqrt.f64 z) (.f64 1/2 (*.f64 (sqrt.f64 2) x)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (*.f64 1/2 x)))
(.f64 (sqrt.f64 2) (.f64 x (/.f64 (sqrt.f64 z) 2)))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 x (sqrt.f64 z))))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z)))
(.f64 (sqrt.f64 z) (.f64 1/2 (*.f64 (sqrt.f64 2) x)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (*.f64 1/2 x)))
(.f64 (sqrt.f64 2) (.f64 x (/.f64 (sqrt.f64 z) 2)))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 x (sqrt.f64 z))))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z)))
(.f64 (sqrt.f64 z) (.f64 1/2 (*.f64 (sqrt.f64 2) x)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (*.f64 1/2 x)))
(.f64 (sqrt.f64 2) (.f64 x (/.f64 (sqrt.f64 z) 2)))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 x (sqrt.f64 z))))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z)))
(.f64 (sqrt.f64 z) (.f64 1/2 (*.f64 (sqrt.f64 2) x)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (*.f64 1/2 x)))
(.f64 (sqrt.f64 2) (.f64 x (/.f64 (sqrt.f64 z) 2)))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 x (sqrt.f64 z))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 1/2 x)) 0)
(.f64 1/2 (.f64 (sqrt.f64 2) x))
(+.f64 0 (.f64 (sqrt.f64 2) (.f64 1/2 x)))
(.f64 1/2 (.f64 (sqrt.f64 2) x))
(+.f64 (.f64 (sqrt.f64 2) (.f64 x 1/4)) (.f64 (sqrt.f64 2) (.f64 x 1/4)))
(.f64 1/2 (.f64 (sqrt.f64 2) x))
(-.f64 (.f64 (sqrt.f64 2) (.f64 1/2 x)) 0)
(.f64 1/2 (.f64 (sqrt.f64 2) x))
(/.f64 (.f64 (sqrt.f64 2) (.f64 1/2 x)) 1)
(.f64 1/2 (.f64 (sqrt.f64 2) x))
(/.f64 (*.f64 (sqrt.f64 2) x) 2)
(.f64 1/2 (.f64 (sqrt.f64 2) x))
(/.f64 (.f64 2 (.f64 (sqrt.f64 2) x)) 4)
(.f64 1/2 (.f64 (sqrt.f64 2) x))
(/.f64 (.f64 (sqrt.f64 2) (.f64 x 4)) 8)
(.f64 1/2 (.f64 (sqrt.f64 2) x))
(/.f64 (.f64 2 (.f64 (sqrt.f64 2) (*.f64 x 4))) 16)
(.f64 1/2 (.f64 (sqrt.f64 2) x))
(/.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 2) (.f64 x 4))) (.f64 2 (.f64 (sqrt.f64 2) (.f64 x 4)))) 32)
(.f64 1/2 (.f64 (sqrt.f64 2) x))
(+.f64 (.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z))) 0)
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z)))
(.f64 (sqrt.f64 z) (.f64 1/2 (*.f64 (sqrt.f64 2) x)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (*.f64 1/2 x)))
(.f64 (sqrt.f64 2) (.f64 x (/.f64 (sqrt.f64 z) 2)))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 x (sqrt.f64 z))))
(+.f64 0 (.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z))))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z)))
(.f64 (sqrt.f64 z) (.f64 1/2 (*.f64 (sqrt.f64 2) x)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (*.f64 1/2 x)))
(.f64 (sqrt.f64 2) (.f64 x (/.f64 (sqrt.f64 z) 2)))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 x (sqrt.f64 z))))
(+.f64 (.f64 (sqrt.f64 2) (/.f64 (.f64 x (sqrt.f64 z)) 4)) (.f64 (sqrt.f64 2) (/.f64 (.f64 x (sqrt.f64 z)) 4)))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z)))
(.f64 (sqrt.f64 z) (.f64 1/2 (*.f64 (sqrt.f64 2) x)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (*.f64 1/2 x)))
(.f64 (sqrt.f64 2) (.f64 x (/.f64 (sqrt.f64 z) 2)))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 x (sqrt.f64 z))))
(-.f64 (.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z))) 0)
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z)))
(.f64 (sqrt.f64 z) (.f64 1/2 (*.f64 (sqrt.f64 2) x)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (*.f64 1/2 x)))
(.f64 (sqrt.f64 2) (.f64 x (/.f64 (sqrt.f64 z) 2)))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 x (sqrt.f64 z))))
(/.f64 (.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z))) 1)
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z)))
(.f64 (sqrt.f64 z) (.f64 1/2 (*.f64 (sqrt.f64 2) x)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (*.f64 1/2 x)))
(.f64 (sqrt.f64 2) (.f64 x (/.f64 (sqrt.f64 z) 2)))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 x (sqrt.f64 z))))
(/.f64 (.f64 (sqrt.f64 2) (.f64 x (sqrt.f64 z))) 2)
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z)))
(.f64 (sqrt.f64 z) (.f64 1/2 (*.f64 (sqrt.f64 2) x)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (*.f64 1/2 x)))
(.f64 (sqrt.f64 2) (.f64 x (/.f64 (sqrt.f64 z) 2)))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 x (sqrt.f64 z))))
(/.f64 (.f64 2 (.f64 (sqrt.f64 2) (*.f64 x (sqrt.f64 z)))) 4)
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z)))
(.f64 (sqrt.f64 z) (.f64 1/2 (*.f64 (sqrt.f64 2) x)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (*.f64 1/2 x)))
(.f64 (sqrt.f64 2) (.f64 x (/.f64 (sqrt.f64 z) 2)))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 x (sqrt.f64 z))))
(/.f64 (.f64 (.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 z) 4)) 8)
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z)))
(.f64 (sqrt.f64 z) (.f64 1/2 (*.f64 (sqrt.f64 2) x)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (*.f64 1/2 x)))
(.f64 (sqrt.f64 2) (.f64 x (/.f64 (sqrt.f64 z) 2)))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 x (sqrt.f64 z))))
(/.f64 (.f64 2 (.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 z) 4))) 16)
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z)))
(.f64 (sqrt.f64 z) (.f64 1/2 (*.f64 (sqrt.f64 2) x)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (*.f64 1/2 x)))
(.f64 (sqrt.f64 2) (.f64 x (/.f64 (sqrt.f64 z) 2)))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 x (sqrt.f64 z))))
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 z) 4))) (.f64 2 (.f64 (.f64 (sqrt.f64 2) x) (.f64 (sqrt.f64 z) 4)))) 32)
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z)))
(.f64 (sqrt.f64 z) (.f64 1/2 (*.f64 (sqrt.f64 2) x)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (*.f64 1/2 x)))
(.f64 (sqrt.f64 2) (.f64 x (/.f64 (sqrt.f64 z) 2)))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 x (sqrt.f64 z))))

localize6.2s (22.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (sqrt.f64 z) (.f64 (*.f64 (sqrt.f64 2) x) 1/2))
✓	0.3b	(.f64 (.f64 (sqrt.f64 2) y) (neg.f64 (sqrt.f64 z)))
✓	0.5b	(*.f64 (sqrt.f64 2) y)
	0.5b	(*.f64 (sqrt.f64 2) x)

Compiler

Compiled 65 to 42 computations (35.4% saved)

series2.0ms (0%)

Counts

3 → 24

Calls

15 calls:

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

rewrite103.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2044×	`bool.json-1`
1282×	`bool.json-2`
1238×	`rational.json-1`
1238×	`rational.json-2`
1238×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	63
1	160	63
2	410	63
3	913	63
4	2073	63
5	4687	63
6	7888	63

Stop Event

1×	node limit

Counts

3 → 34

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 2) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (*.f64 y 1/2)) (*.f64 (sqrt.f64 2) (*.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (+.f64 y y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (*.f64 y 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 2) (*.f64 y 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 2) (*.f64 y 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 2) (*.f64 y 4)))) (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 2) (*.f64 y 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (sqrt.f64 2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (sqrt.f64 2) y) (*.f64 (sqrt.f64 2) y))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (sqrt.f64 2) y) (*.f64 (sqrt.f64 2) y))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 z) (neg.f64 y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 z) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (*.f64 (sqrt.f64 2) (*.f64 y (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 2) y) (*.f64 (sqrt.f64 z) -1/2)) (*.f64 (*.f64 (sqrt.f64 2) y) (*.f64 (sqrt.f64 z) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 z) (neg.f64 y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (sqrt.f64 2) (*.f64 y (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 z) (neg.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (*.f64 y (*.f64 (sqrt.f64 z) -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 2) y) (*.f64 (sqrt.f64 z) -4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (*.f64 y (sqrt.f64 z))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 2) y) (*.f64 (sqrt.f64 z) -4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 2) y) (*.f64 (sqrt.f64 z) -4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 2) y) (*.f64 (sqrt.f64 z) -4)))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 2) y) (*.f64 (sqrt.f64 z) -4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sqrt.f64 2) (*.f64 y (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 z) (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 z) (neg.f64 y))) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 z) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 z) (neg.f64 y))) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 z) (neg.f64 y))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 2) (*.f64 x 1/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 2) (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 2) (*.f64 x 1/4))) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 2) (*.f64 x 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 2) (*.f64 x 1/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 2) (*.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 2) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 2) x))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 2) x)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 2) x))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 2) x))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 2) x)))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 2) (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 2) (*.f64 x 1/2))) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 2) (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 2) (*.f64 x 1/2))) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 2) (*.f64 x 1/2))))))))

simplify342.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

3640×	`rational.json-simplify-35`
2372×	`rational.json-simplify-2`
2198×	`rational.json-simplify-53`
902×	`rational.json-simplify-51`
618×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	97	1406
1	239	1354
2	529	1354
3	1389	1354
4	3172	1354
5	3987	1354
6	4453	1354
7	4847	1354
8	4858	1354
9	4863	1354
10	6845	1354
11	6925	1354
12	6939	1354
13	7224	1354
14	7510	1354
15	7793	1354

Stop Event

1×	node limit

Counts

58 → 43

Calls

Call 1

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

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

eval107.0ms (0.4%)

Compiler: Compiled 2525 to 1669 computations (33.9% saved)

prune194.0ms (0.7%)

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	164	0	164
Fresh	0	3	3
Picked	0	1	1
Done	0	6	6
Total	164	10	174

Error

0.1b

Counts

174 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.6b	(+.f64 (.f64 (.f64 (sqrt.f64 2) y) (neg.f64 (sqrt.f64 z))) (.f64 (sqrt.f64 z) (.f64 (*.f64 (sqrt.f64 2) x) 1/2)))
✓	0.2b	(.f64 (-.f64 (.f64 x 1/2) y) (.f64 (sqrt.f64 (.f64 z 2)) (exp.f64 (*.f64 t (/.f64 t 2)))))
✓	1.3b	(.f64 (-.f64 (.f64 1/2 x) y) (sqrt.f64 (+.f64 z z)))
▶	31.6b	(.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (neg.f64 (sqrt.f64 z)))
✓	31.6b	(.f64 (.f64 (sqrt.f64 2) (*.f64 1/2 x)) (sqrt.f64 z))
▶	32.0b	(.f64 (.f64 y (sqrt.f64 z)) (neg.f64 (sqrt.f64 2)))
▶	31.6b	(.f64 (.f64 1/2 x) (*.f64 (sqrt.f64 2) (sqrt.f64 z)))
✓	31.6b	(.f64 (sqrt.f64 2) (.f64 (*.f64 (sqrt.f64 z) x) 1/2))
✓	1.6b	(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)))
✓	32.0b	(.f64 y (neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 z))))

Compiler

Compiled 154 to 124 computations (19.5% saved)

localize12.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 1/2 x) (*.f64 (sqrt.f64 2) (sqrt.f64 z)))
	0.4b	(*.f64 (sqrt.f64 2) (sqrt.f64 z))

Compiler

Compiled 29 to 20 computations (31% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite80.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1550×	`bool.json-1`
1550×	`bool.json-2`
1506×	`rational.json-1`
1506×	`rational.json-2`
1082×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	27
1	118	27
2	309	27
3	678	27
4	1445	27
5	3161	27
6	6204	27

Stop Event

1×	node limit

Counts

1 → 10

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/2 x) (*.f64 (sqrt.f64 2) (sqrt.f64 z))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 1/2 x) (*.f64 (sqrt.f64 2) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 z)) 4)) (*.f64 x (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 z)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 1/2 x) (*.f64 (sqrt.f64 2) (sqrt.f64 z))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/2 x) (*.f64 (sqrt.f64 2) (sqrt.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 (sqrt.f64 2) (sqrt.f64 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 2 (*.f64 (sqrt.f64 2) (sqrt.f64 z)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (sqrt.f64 z)) (*.f64 (sqrt.f64 2) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 x (sqrt.f64 z)) (*.f64 (sqrt.f64 2) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 x (sqrt.f64 z)) (*.f64 (sqrt.f64 2) 4))) (*.f64 2 (*.f64 (*.f64 x (sqrt.f64 z)) (*.f64 (sqrt.f64 2) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (*.f64 1/2 x) (*.f64 (sqrt.f64 2) (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (*.f64 1/2 x) (*.f64 (sqrt.f64 2) (sqrt.f64 z))) (*.f64 (*.f64 1/2 x) (*.f64 (sqrt.f64 2) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (*.f64 1/2 x) (*.f64 (sqrt.f64 2) (sqrt.f64 z))) (*.f64 (*.f64 1/2 x) (*.f64 (sqrt.f64 2) (sqrt.f64 z))))))))

simplify654.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

4242×	`rational.json-simplify-35`
3506×	`rational.json-simplify-2`
1770×	`rational.json-simplify-53`
654×	`rational.json-simplify-43`
648×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	594
1	99	594
2	238	594
3	602	594
4	1738	594
5	3105	594
6	3718	594
7	4008	594
8	4265	594
9	4494	594
10	4494	594
11	5779	594
12	5794	594
13	5794	594
14	5982	594
15	6170	594
16	6358	594
17	6546	594
18	6734	594
19	6922	594
20	7110	594
21	7903	594
22	7903	594
23	7903	594

Stop Event

1×	node limit

Counts

22 → 15

Calls

Call 1

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

Outputs
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 z) 1/2))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 x (sqrt.f64 z))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (/.f64 x 2)))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z)))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 z) 1/2))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 x (sqrt.f64 z))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (/.f64 x 2)))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z)))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 z) 1/2))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 x (sqrt.f64 z))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (/.f64 x 2)))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z)))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 z) 1/2))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 x (sqrt.f64 z))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (/.f64 x 2)))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z)))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 z) 1/2))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 x (sqrt.f64 z))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (/.f64 x 2)))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z)))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 z) 1/2))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 x (sqrt.f64 z))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (/.f64 x 2)))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z)))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 z) 1/2))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 x (sqrt.f64 z))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (/.f64 x 2)))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z)))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 z) 1/2))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 x (sqrt.f64 z))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (/.f64 x 2)))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z)))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 z) 1/2))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 x (sqrt.f64 z))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (/.f64 x 2)))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z)))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 z) 1/2))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 x (sqrt.f64 z))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (/.f64 x 2)))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z)))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 z) 1/2))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 x (sqrt.f64 z))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (/.f64 x 2)))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z)))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 2) x) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 z) 1/2))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 x (sqrt.f64 z))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (/.f64 x 2)))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z)))
(+.f64 (.f64 (.f64 1/2 x) (*.f64 (sqrt.f64 2) (sqrt.f64 z))) 0)
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 z) 1/2))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 x (sqrt.f64 z))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (/.f64 x 2)))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z)))
(+.f64 0 (.f64 (.f64 1/2 x) (*.f64 (sqrt.f64 2) (sqrt.f64 z))))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 z) 1/2))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 x (sqrt.f64 z))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (/.f64 x 2)))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z)))
(+.f64 (.f64 x (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 z)) 4)) (.f64 x (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 z)) 4)))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 z) 1/2))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 x (sqrt.f64 z))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (/.f64 x 2)))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z)))
(-.f64 (.f64 (.f64 1/2 x) (*.f64 (sqrt.f64 2) (sqrt.f64 z))) 0)
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 z) 1/2))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 x (sqrt.f64 z))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (/.f64 x 2)))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z)))
(/.f64 (.f64 (.f64 1/2 x) (*.f64 (sqrt.f64 2) (sqrt.f64 z))) 1)
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 z) 1/2))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 x (sqrt.f64 z))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (/.f64 x 2)))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z)))
(/.f64 (.f64 x (.f64 (sqrt.f64 2) (sqrt.f64 z))) 2)
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 z) 1/2))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 x (sqrt.f64 z))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (/.f64 x 2)))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z)))
(/.f64 (.f64 x (.f64 2 (*.f64 (sqrt.f64 2) (sqrt.f64 z)))) 4)
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 z) 1/2))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 x (sqrt.f64 z))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (/.f64 x 2)))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z)))
(/.f64 (.f64 (.f64 x (sqrt.f64 z)) (*.f64 (sqrt.f64 2) 4)) 8)
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 z) 1/2))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 x (sqrt.f64 z))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (/.f64 x 2)))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z)))
(/.f64 (.f64 2 (.f64 (.f64 x (sqrt.f64 z)) (.f64 (sqrt.f64 2) 4))) 16)
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 z) 1/2))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 x (sqrt.f64 z))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (/.f64 x 2)))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z)))
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 x (sqrt.f64 z)) (.f64 (sqrt.f64 2) 4))) (.f64 2 (.f64 (.f64 x (sqrt.f64 z)) (.f64 (sqrt.f64 2) 4)))) 32)
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 (sqrt.f64 z) 1/2))
(.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 x (sqrt.f64 z))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (/.f64 x 2)))
(.f64 (.f64 (sqrt.f64 2) x) (*.f64 1/2 (sqrt.f64 z)))

localize20.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 y (sqrt.f64 z))
✓	0.4b	(.f64 (.f64 y (sqrt.f64 z)) (neg.f64 (sqrt.f64 2)))

Compiler

Compiled 26 to 16 computations (38.5% saved)

series7.0ms (0%)

Counts

2 → 12

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	(*.f64 y (sqrt.f64 z))
0.0ms	z	@	-inf	(*.f64 y (sqrt.f64 z))
0.0ms	z	@	inf	(*.f64 y (sqrt.f64 z))
0.0ms	z	@	0	(*.f64 y (sqrt.f64 z))
0.0ms	z	@	-inf	(.f64 (.f64 y (sqrt.f64 z)) (neg.f64 (sqrt.f64 2)))

rewrite95.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1888×	`bool.json-1`
1888×	`bool.json-2`
1226×	`rational.json-simplify-2`
1018×	`rational.json-simplify-51`
990×	`rational.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	110	36
2	293	36
3	639	36
4	1436	36
5	3423	36
6	7319	36

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

Inputs
(.f64 (.f64 y (sqrt.f64 z)) (neg.f64 (sqrt.f64 2)))
(*.f64 y (sqrt.f64 z))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (*.f64 y (*.f64 (sqrt.f64 z) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (/.f64 (*.f64 y (sqrt.f64 z)) -2)) (*.f64 (sqrt.f64 2) (/.f64 (*.f64 y (sqrt.f64 z)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 y (*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 y (*.f64 (sqrt.f64 z) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 z) (*.f64 y (*.f64 (sqrt.f64 2) -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 2) -4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (*.f64 (sqrt.f64 z) (sqrt.f64 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y (*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 2)))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 y (*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 2)))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 y (*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 2)))) 8)) (*.f64 2 (*.f64 (*.f64 y (*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 2)))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 y (*.f64 (sqrt.f64 z) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 y (*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 y (*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 2)))) (*.f64 y (*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 y (*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 2)))) (*.f64 y (*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 2)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (sqrt.f64 z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 (sqrt.f64 z) 1/2)) (*.f64 y (*.f64 (sqrt.f64 z) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 y (sqrt.f64 z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (sqrt.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (*.f64 (sqrt.f64 z) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (*.f64 (sqrt.f64 z) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y (sqrt.f64 z)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 y (sqrt.f64 z)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 y (sqrt.f64 z)) 8)) (*.f64 2 (*.f64 (*.f64 y (sqrt.f64 z)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 y (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 y (sqrt.f64 z)) (*.f64 y (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 y (sqrt.f64 z)) (*.f64 y (sqrt.f64 z)))))))

simplify665.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

3702×	`rational.json-simplify-35`
3178×	`rational.json-simplify-2`
1388×	`rational.json-simplify-1`
1258×	`rational.json-simplify-53`
836×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	760
1	178	760
2	399	760
3	1092	760
4	2657	760
5	4955	760
6	5365	760
7	5701	760
8	5709	760
9	5710	760
10	5711	760
11	6124	760
12	6164	760
13	6502	760
14	6888	760
15	7258	760
16	7663	760
17	7723	760
18	7800	760
19	7814	760
20	7816	760

Stop Event

1×	node limit

Counts

36 → 30

Calls

Call 1

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

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

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (*.f64 1/2 (pow.f64 t 2)))
✓	0.0b	(*.f64 1/2 (pow.f64 t 2))
	0.3b	(.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (neg.f64 (sqrt.f64 z)))
	0.5b	(.f64 (sqrt.f64 2) (.f64 y (exp.f64 (*.f64 1/2 (pow.f64 t 2)))))

Compiler

Compiled 64 to 46 computations (28.1% saved)

series1.0ms (0%)

Counts

2 → 4

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	t	@	inf	(*.f64 1/2 (pow.f64 t 2))
0.0ms	t	@	0	(*.f64 1/2 (pow.f64 t 2))
0.0ms	t	@	0	(exp.f64 (*.f64 1/2 (pow.f64 t 2)))
0.0ms	t	@	-inf	(*.f64 1/2 (pow.f64 t 2))
0.0ms	t	@	inf	(exp.f64 (*.f64 1/2 (pow.f64 t 2)))

rewrite97.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1818×	`bool.json-1`
1818×	`bool.json-2`
1770×	`rational.json-1`
1112×	`rational.json-2`
1112×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	87	30
2	226	30
3	450	30
4	864	30
5	1821	30
6	4000	30
7	7037	30

Stop Event

1×	node limit

Counts

2 → 35

Calls

Call 1

Inputs
(*.f64 1/2 (pow.f64 t 2))
(exp.f64 (*.f64 1/2 (pow.f64 t 2)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (pow.f64 t 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/2 (pow.f64 t 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 t 2) 1/4) (*.f64 (pow.f64 t 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/2 (pow.f64 t 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 t 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (pow.f64 t 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 t 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 t 2) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 t 2) 8) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 t 2) 8)) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 t 2) 8))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 1/2 (pow.f64 t 2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 1/2 (pow.f64 t 2)) (*.f64 1/2 (pow.f64 t 2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 1/2 (pow.f64 t 2)) (*.f64 1/2 (pow.f64 t 2)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (*.f64 1/2 (pow.f64 t 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (exp.f64 (*.f64 1/2 (pow.f64 t 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (exp.f64 (*.f64 1/2 (pow.f64 t 2)))) (*.f64 1/2 (exp.f64 (*.f64 1/2 (pow.f64 t 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (*.f64 1/2 (pow.f64 t 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (exp.f64 (*.f64 1/2 (pow.f64 t 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (exp.f64 (*.f64 1/2 (pow.f64 t 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (*.f64 1/2 (pow.f64 t 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (*.f64 1/2 (pow.f64 t 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (exp.f64 (*.f64 1/2 (pow.f64 t 2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (exp.f64 (*.f64 1/2 (pow.f64 t 2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (*.f64 1/2 (exp.f64 (*.f64 1/2 (pow.f64 t 2)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (/.f64 (exp.f64 (*.f64 1/2 (pow.f64 t 2))) 4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (exp.f64 (*.f64 1/2 (pow.f64 t 2))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (exp.f64 (*.f64 1/2 (pow.f64 t 2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (exp.f64 (*.f64 1/2 (pow.f64 t 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 (*.f64 1/2 (pow.f64 t 2))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (*.f64 (pow.f64 t 2) 1/4)) (exp.f64 (*.f64 (pow.f64 t 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 (*.f64 1/2 (pow.f64 t 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (exp.f64 (*.f64 1/2 (pow.f64 t 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 (*.f64 1/2 (pow.f64 t 2))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 (*.f64 1/2 (pow.f64 t 2))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (exp.f64 (*.f64 1/2 (pow.f64 t 2))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (exp.f64 (*.f64 1/2 (pow.f64 t 2))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (exp.f64 (*.f64 1/2 (pow.f64 t 2))) 8))) (*.f64 2 (*.f64 2 (*.f64 (exp.f64 (*.f64 1/2 (pow.f64 t 2))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (exp.f64 (*.f64 1/2 (pow.f64 t 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (exp.f64 (*.f64 1/2 (pow.f64 t 2))) (exp.f64 (*.f64 1/2 (pow.f64 t 2))))))) (#(struct:change #<rule egg-rr> (2) ((x or (exp.f64 (*.f64 1/2 (pow.f64 t 2))) (exp.f64 (*.f64 1/2 (pow.f64 t 2))))))))

simplify107.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

910×	`rational.json-simplify-59`
880×	`rational.json-simplify-40`
808×	`rational.json-simplify-61`
756×	`rational.json-simplify-38`
586×	`rational.json-simplify-39`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	663
1	174	663
2	381	663
3	1348	663
4	3711	663
5	7355	663

Stop Event

1×	node limit

Counts

39 → 47

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 1/2 (pow.f64 t 2)))
(+.f64 (.f64 1/8 (pow.f64 t 4)) (+.f64 1 (.f64 1/2 (pow.f64 t 2))))
(+.f64 (.f64 1/8 (pow.f64 t 4)) (+.f64 1 (+.f64 (.f64 1/48 (pow.f64 t 6)) (*.f64 1/2 (pow.f64 t 2)))))
(+.f64 (*.f64 1/2 (pow.f64 t 2)) 0)
(+.f64 0 (*.f64 1/2 (pow.f64 t 2)))
(+.f64 (.f64 (pow.f64 t 2) 1/4) (.f64 (pow.f64 t 2) 1/4))
(-.f64 (*.f64 1/2 (pow.f64 t 2)) 0)
(/.f64 (pow.f64 t 2) 2)
(/.f64 (*.f64 1/2 (pow.f64 t 2)) 1)
(/.f64 (*.f64 2 (pow.f64 t 2)) 4)
(/.f64 (*.f64 (pow.f64 t 2) 4) 8)
(/.f64 (*.f64 (pow.f64 t 2) 8) 16)
(/.f64 (.f64 2 (.f64 (pow.f64 t 2) 8)) 32)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 t 2) 8))) 64)
(+.f64 (exp.f64 (*.f64 1/2 (pow.f64 t 2))) 0)
(+.f64 0 (exp.f64 (*.f64 1/2 (pow.f64 t 2))))
(+.f64 (.f64 1/2 (exp.f64 (.f64 1/2 (pow.f64 t 2)))) (.f64 1/2 (exp.f64 (.f64 1/2 (pow.f64 t 2)))))
(-.f64 (exp.f64 (*.f64 1/2 (pow.f64 t 2))) 0)
(.f64 1/2 (.f64 2 (exp.f64 (*.f64 1/2 (pow.f64 t 2)))))
(.f64 2 (.f64 1/2 (exp.f64 (*.f64 1/2 (pow.f64 t 2)))))
(.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) 1)
(.f64 1 (exp.f64 (.f64 1/2 (pow.f64 t 2))))
(.f64 (.f64 2 (exp.f64 (*.f64 1/2 (pow.f64 t 2)))) 1/2)
(.f64 4 (/.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) 4))
(.f64 4 (.f64 (.f64 1/2 (exp.f64 (.f64 1/2 (pow.f64 t 2)))) 1/2))
(.f64 4 (.f64 (/.f64 (exp.f64 (*.f64 1/2 (pow.f64 t 2))) 4) 1))
(.f64 (.f64 (exp.f64 (*.f64 1/2 (pow.f64 t 2))) 4) 1/4)
(.f64 1/4 (.f64 (exp.f64 (*.f64 1/2 (pow.f64 t 2))) 4))
(.f64 (.f64 1/2 (exp.f64 (*.f64 1/2 (pow.f64 t 2)))) 2)
(.f64 (/.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) 4) 4)
(.f64 (exp.f64 (.f64 (pow.f64 t 2) 1/4)) (exp.f64 (*.f64 (pow.f64 t 2) 1/4)))
(/.f64 (exp.f64 (*.f64 1/2 (pow.f64 t 2))) 1)
(/.f64 (.f64 2 (exp.f64 (.f64 1/2 (pow.f64 t 2)))) 2)
(/.f64 (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) 4) 4)
(/.f64 (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) 8) 8)
(/.f64 (.f64 2 (.f64 (exp.f64 (*.f64 1/2 (pow.f64 t 2))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) 8))) (.f64 2 (.f64 2 (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) 8)))) 64)

Outputs
1
(+.f64 1 (*.f64 1/2 (pow.f64 t 2)))
(+.f64 (.f64 1/8 (pow.f64 t 4)) (+.f64 1 (.f64 1/2 (pow.f64 t 2))))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 t 2)) (.f64 1/8 (pow.f64 t 4))))
(+.f64 (+.f64 1 (.f64 1/2 (pow.f64 t 2))) (.f64 1/8 (pow.f64 t 4)))
(+.f64 (.f64 1/2 (pow.f64 t 2)) (+.f64 1 (.f64 1/8 (pow.f64 t 4))))
(+.f64 (.f64 1/8 (pow.f64 t 4)) (+.f64 1 (+.f64 (.f64 1/48 (pow.f64 t 6)) (*.f64 1/2 (pow.f64 t 2)))))
(+.f64 1 (+.f64 (+.f64 (.f64 1/2 (pow.f64 t 2)) (.f64 1/48 (pow.f64 t 6))) (*.f64 1/8 (pow.f64 t 4))))
(+.f64 1 (+.f64 (.f64 1/8 (pow.f64 t 4)) (+.f64 (.f64 1/2 (pow.f64 t 2)) (*.f64 1/48 (pow.f64 t 6)))))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 t 2)) (+.f64 (.f64 1/8 (pow.f64 t 4)) (*.f64 1/48 (pow.f64 t 6)))))
(+.f64 (*.f64 1/2 (pow.f64 t 2)) 0)
(*.f64 1/2 (pow.f64 t 2))
(+.f64 0 (*.f64 1/2 (pow.f64 t 2)))
(*.f64 1/2 (pow.f64 t 2))
(+.f64 (.f64 (pow.f64 t 2) 1/4) (.f64 (pow.f64 t 2) 1/4))
(*.f64 1/2 (pow.f64 t 2))
(-.f64 (*.f64 1/2 (pow.f64 t 2)) 0)
(*.f64 1/2 (pow.f64 t 2))
(/.f64 (pow.f64 t 2) 2)
(*.f64 1/2 (pow.f64 t 2))
(/.f64 (*.f64 1/2 (pow.f64 t 2)) 1)
(*.f64 1/2 (pow.f64 t 2))
(/.f64 (*.f64 2 (pow.f64 t 2)) 4)
(*.f64 1/2 (pow.f64 t 2))
(/.f64 (*.f64 (pow.f64 t 2) 4) 8)
(*.f64 1/2 (pow.f64 t 2))
(/.f64 (*.f64 (pow.f64 t 2) 8) 16)
(*.f64 1/2 (pow.f64 t 2))
(/.f64 (.f64 2 (.f64 (pow.f64 t 2) 8)) 32)
(*.f64 1/2 (pow.f64 t 2))
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 t 2) 8))) 64)
(*.f64 1/2 (pow.f64 t 2))
(+.f64 (exp.f64 (*.f64 1/2 (pow.f64 t 2))) 0)
(exp.f64 (*.f64 1/2 (pow.f64 t 2)))
(+.f64 0 (exp.f64 (*.f64 1/2 (pow.f64 t 2))))
(exp.f64 (*.f64 1/2 (pow.f64 t 2)))
(+.f64 (.f64 1/2 (exp.f64 (.f64 1/2 (pow.f64 t 2)))) (.f64 1/2 (exp.f64 (.f64 1/2 (pow.f64 t 2)))))
(exp.f64 (*.f64 1/2 (pow.f64 t 2)))
(-.f64 (exp.f64 (*.f64 1/2 (pow.f64 t 2))) 0)
(exp.f64 (*.f64 1/2 (pow.f64 t 2)))
(.f64 1/2 (.f64 2 (exp.f64 (*.f64 1/2 (pow.f64 t 2)))))
(exp.f64 (*.f64 1/2 (pow.f64 t 2)))
(.f64 2 (.f64 1/2 (exp.f64 (*.f64 1/2 (pow.f64 t 2)))))
(exp.f64 (*.f64 1/2 (pow.f64 t 2)))
(.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) 1)
(exp.f64 (*.f64 1/2 (pow.f64 t 2)))
(.f64 1 (exp.f64 (.f64 1/2 (pow.f64 t 2))))
(exp.f64 (*.f64 1/2 (pow.f64 t 2)))
(.f64 (.f64 2 (exp.f64 (*.f64 1/2 (pow.f64 t 2)))) 1/2)
(exp.f64 (*.f64 1/2 (pow.f64 t 2)))
(.f64 4 (/.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) 4))
(exp.f64 (*.f64 1/2 (pow.f64 t 2)))
(.f64 4 (.f64 (.f64 1/2 (exp.f64 (.f64 1/2 (pow.f64 t 2)))) 1/2))
(exp.f64 (*.f64 1/2 (pow.f64 t 2)))
(.f64 4 (.f64 (/.f64 (exp.f64 (*.f64 1/2 (pow.f64 t 2))) 4) 1))
(exp.f64 (*.f64 1/2 (pow.f64 t 2)))
(.f64 (.f64 (exp.f64 (*.f64 1/2 (pow.f64 t 2))) 4) 1/4)
(exp.f64 (*.f64 1/2 (pow.f64 t 2)))
(.f64 1/4 (.f64 (exp.f64 (*.f64 1/2 (pow.f64 t 2))) 4))
(exp.f64 (*.f64 1/2 (pow.f64 t 2)))
(.f64 (.f64 1/2 (exp.f64 (*.f64 1/2 (pow.f64 t 2)))) 2)
(exp.f64 (*.f64 1/2 (pow.f64 t 2)))
(.f64 (/.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) 4) 4)
(exp.f64 (*.f64 1/2 (pow.f64 t 2)))
(.f64 (exp.f64 (.f64 (pow.f64 t 2) 1/4)) (exp.f64 (*.f64 (pow.f64 t 2) 1/4)))
(exp.f64 (*.f64 1/2 (pow.f64 t 2)))
(/.f64 (exp.f64 (*.f64 1/2 (pow.f64 t 2))) 1)
(exp.f64 (*.f64 1/2 (pow.f64 t 2)))
(/.f64 (.f64 2 (exp.f64 (.f64 1/2 (pow.f64 t 2)))) 2)
(exp.f64 (*.f64 1/2 (pow.f64 t 2)))
(/.f64 (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) 4) 4)
(exp.f64 (*.f64 1/2 (pow.f64 t 2)))
(/.f64 (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) 8) 8)
(exp.f64 (*.f64 1/2 (pow.f64 t 2)))
(/.f64 (.f64 2 (.f64 (exp.f64 (*.f64 1/2 (pow.f64 t 2))) 8)) 16)
(exp.f64 (*.f64 1/2 (pow.f64 t 2)))
(/.f64 (.f64 2 (.f64 2 (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) 8))) 32)
(exp.f64 (*.f64 1/2 (pow.f64 t 2)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) 8))) (.f64 2 (.f64 2 (.f64 (exp.f64 (.f64 1/2 (pow.f64 t 2))) 8)))) 64)
(exp.f64 (*.f64 1/2 (pow.f64 t 2)))

eval69.0ms (0.3%)

Compiler: Compiled 3172 to 2235 computations (29.5% saved)

prune77.0ms (0.3%)

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	166	0	166
Fresh	0	0	0
Picked	0	1	1
Done	0	9	9
Total	166	10	176

Error

0.1b

Counts

176 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.6b	(+.f64 (.f64 (.f64 (sqrt.f64 2) y) (neg.f64 (sqrt.f64 z))) (.f64 (sqrt.f64 z) (.f64 (*.f64 (sqrt.f64 2) x) 1/2)))
✓	0.2b	(.f64 (-.f64 (.f64 x 1/2) y) (.f64 (sqrt.f64 (.f64 z 2)) (exp.f64 (*.f64 t (/.f64 t 2)))))
✓	1.3b	(.f64 (-.f64 (.f64 1/2 x) y) (sqrt.f64 (+.f64 z z)))
✓	31.6b	(.f64 (.f64 (sqrt.f64 2) (.f64 y (exp.f64 (.f64 1/2 (pow.f64 t 2))))) (neg.f64 (sqrt.f64 z)))
✓	31.6b	(.f64 (.f64 (sqrt.f64 2) (*.f64 1/2 x)) (sqrt.f64 z))
✓	32.0b	(.f64 (.f64 y (sqrt.f64 z)) (neg.f64 (sqrt.f64 2)))
✓	31.6b	(.f64 (.f64 1/2 x) (*.f64 (sqrt.f64 2) (sqrt.f64 z)))
✓	31.6b	(.f64 (sqrt.f64 2) (.f64 (*.f64 (sqrt.f64 z) x) 1/2))
✓	1.6b	(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 z) (-.f64 (*.f64 1/2 x) y)))
✓	32.0b	(.f64 y (neg.f64 (.f64 (sqrt.f64 2) (sqrt.f64 z))))

Compiler

Compiled 154 to 124 computations (19.5% saved)

regimes243.0ms (0.9%)

Counts

15 → 1

Calls

Call 1

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

Outputs
(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (exp.f64 (/.f64 (*.f64 t t) 2)))

Calls

13 calls:

155.0ms	(*.f64 t t)
8.0ms	t
8.0ms	(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (exp.f64 (/.f64 (*.f64 t t) 2)))
8.0ms	y
8.0ms	(sqrt.f64 (*.f64 z 2))

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`y`
0.2b	1	`z`
0.2b	1	`t`
0.2b	1	`(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (exp.f64 (/.f64 (*.f64 t t) 2)))`
0.2b	1	`(.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (*.f64 z 2)))`
0.2b	1	`(-.f64 (*.f64 x 1/2) y)`
0.2b	1	`(*.f64 x 1/2)`
0.2b	1	`(sqrt.f64 (*.f64 z 2))`
0.2b	1	`(*.f64 z 2)`
0.2b	1	`(exp.f64 (/.f64 (*.f64 t t) 2))`
0.2b	1	`(/.f64 (*.f64 t t) 2)`
0.2b	1	`(*.f64 t t)`

Compiler

Compiled 313 to 227 computations (27.5% saved)

regimes226.0ms (0.8%)

Accuracy

Total -60.0b remaining (-4470%)

Threshold costs -60.0b (-4470%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

8 calls:

117.0ms	x
67.0ms	(*.f64 x 1/2)
9.0ms	t
7.0ms	(*.f64 z 2)
6.0ms	z

Results

Error	Segments	Branch
1.3b	1	`x`
1.3b	1	`y`
1.3b	1	`z`
1.3b	1	`t`
1.3b	1	`(-.f64 (*.f64 x 1/2) y)`
1.3b	1	`(*.f64 x 1/2)`
1.3b	1	`(sqrt.f64 (*.f64 z 2))`
1.3b	1	`(*.f64 z 2)`

Compiler

Compiled 153 to 111 computations (27.5% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	80

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

Outputs
(.f64 (.f64 (-.f64 (.f64 x 1/2) y) (sqrt.f64 (.f64 z 2))) (exp.f64 (/.f64 (*.f64 t t) 2)))
(.f64 (-.f64 (.f64 1/2 x) y) (sqrt.f64 (+.f64 z z)))

Compiler

Compiled 35 to 26 computations (25.7% saved)

soundness0.0ms (0%)

end22.0ms (0.1%)

Compiler: Compiled 31 to 22 computations (29% saved)

Details

analyze337.0ms (1.2%)

sample7.1s (26%)

preprocess92.0ms (0.3%)

simplify102.0ms (0.4%)

eval1.0ms (0%)

prune1.0ms (0%)

localize30.0ms (0.1%)

series16.0ms (0.1%)

rewrite111.0ms (0.4%)

simplify183.0ms (0.7%)

eval61.0ms (0.2%)

prune29.0ms (0.1%)

localize56.0ms (0.2%)

series14.0ms (0.1%)

rewrite85.0ms (0.3%)

simplify269.0ms (1%)

localize17.0ms (0.1%)

series4.0ms (0%)

rewrite84.0ms (0.3%)

simplify1.0s (3.7%)

localize16.0ms (0.1%)

series5.0ms (0%)

rewrite97.0ms (0.4%)

simplify549.0ms (2%)

localize18.0ms (0.1%)

series2.0ms (0%)

rewrite92.0ms (0.3%)

simplify522.0ms (1.9%)

localize15.0ms (0.1%)

series3.0ms (0%)

rewrite98.0ms (0.4%)

simplify415.0ms (1.5%)

eval93.0ms (0.3%)

prune44.0ms (0.2%)

localize12.0ms (0%)

series2.0ms (0%)

rewrite85.0ms (0.3%)

simplify358.0ms (1.3%)

localize12.0ms (0%)

series4.0ms (0%)

rewrite88.0ms (0.3%)

simplify436.0ms (1.6%)

localize11.0ms (0%)

series5.0ms (0%)

rewrite84.0ms (0.3%)

simplify390.0ms (1.4%)

localize14.0ms (0.1%)

series2.0ms (0%)

rewrite83.0ms (0.3%)

simplify4.9s (17.9%)

localize6.2s (22.5%)

series2.0ms (0%)

rewrite103.0ms (0.4%)

simplify342.0ms (1.2%)

eval107.0ms (0.4%)

prune194.0ms (0.7%)

localize12.0ms (0%)

series1.0ms (0%)

rewrite80.0ms (0.3%)

simplify654.0ms (2.4%)

localize20.0ms (0.1%)

series7.0ms (0%)

rewrite95.0ms (0.3%)

simplify665.0ms (2.4%)

localize28.0ms (0.1%)

series1.0ms (0%)

rewrite97.0ms (0.4%)

simplify107.0ms (0.4%)

eval69.0ms (0.3%)

prune77.0ms (0.3%)

regimes243.0ms (0.9%)

regimes226.0ms (0.8%)

simplify2.0ms (0%)

soundness0.0ms (0%)

end22.0ms (0.1%)

Profiling