Details

analyze177.0ms (3.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	81.2%	0.1%	0%	18.7%	0%	5
16%	12.5%	65.6%	0.1%	0%	21.9%	0%	6
27.9%	18.7%	48.4%	0.1%	0%	32.8%	0%	7
43.4%	28.1%	36.7%	0.1%	0%	35.1%	0%	8
55.6%	32.8%	26.1%	0.1%	0%	41%	0%	9
66.4%	38.2%	19.3%	0.1%	0%	42.3%	0%	10
75.1%	41%	13.6%	0.1%	0%	45.4%	0%	11
81.6%	43.9%	9.9%	0.1%	0%	46.1%	0%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample3.4s (62.4%)

Results

3.3s	8256×	body	256	valid
86.0ms	647×	body	256	invalid

Bogosity

preprocess12.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

20×	`rational.json-simplify-2`
16×	`rational.json-simplify-60`
8×	`rational.json-simplify-54`
8×	`rational.json-simplify-1`
8×	`rational.json-simplify-55`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	46
1	19	46
2	26	46
3	48	46
4	66	46
5	66	46
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(sqrt.f64 (-.f64 (.f64 b b) (.f64 a a)))

Outputs
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(sqrt.f64 (-.f64 (.f64 b b) (.f64 a a)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify27.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

12×	`rational.json-simplify-2`
8×	`rational.json-simplify-60`
8×	`rational.json-simplify-54`
8×	`rational.json-simplify-1`
8×	`rational.json-simplify-55`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	14	23
2	20	23
3	33	23
4	48	23
5	48	23

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))

Outputs
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

29.9b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	29.9b	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))

Compiler

Compiled 10 to 6 computations (40% saved)

localize145.0ms (2.7%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	3.2b	(-.f64 (.f64 a a) (.f64 b b))
✓	27.8b	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))

Compiler

Compiled 25 to 6 computations (76% saved)

series7.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
1.0ms	b	@	0	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
1.0ms	a	@	inf	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
1.0ms	b	@	inf	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
0.0ms	b	@	-inf	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))

rewrite142.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

762×	`rational.json-simplify-49`
748×	`rational.json-simplify-47`
710×	`rational.json-simplify-54`
634×	`rational.json-simplify-50`
546×	`rational.json-simplify-58`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	42
1	79	42
2	288	42
3	1086	42
4	4620	42

Stop Event

1×	node limit

Counts

2 → 64

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(-.f64 (.f64 a a) (.f64 b b))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) (/.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))) (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a)))) (/.f64 1 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a)))) (.f64 (/.f64 1 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a)))) (/.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))) (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))) (sqrt.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a))) (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a))))) (/.f64 (/.f64 1 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))) (sqrt.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a))) (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a))))) (/.f64 (.f64 (/.f64 1 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))) 1) (sqrt.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a))) (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a))))) (sqrt.f64 (.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a))) (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a)))))) (/.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))) (sqrt.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a))))) (sqrt.f64 (.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a))) (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) (/.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a a) (.f64 b (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 a a) (.f64 b b)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (.f64 a a) (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (.f64 a a) (-.f64 (.f64 b b) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b (neg.f64 b)) (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 a a) (-.f64 (.f64 b b) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (.f64 b b)) (+.f64 1 (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (.f64 b b)) (-.f64 1 (.f64 a (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 a a) (.f64 b b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 a a) (.f64 b b)) (/.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (.f64 a a) (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a))) (-.f64 (.f64 a a) (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 a b) (-.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 a b) (+.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 b b) (.f64 a a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a))) (/.f64 1 (-.f64 (.f64 a a) (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a))) (.f64 (/.f64 1 (-.f64 (.f64 a a) (.f64 b b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a))) (/.f64 (/.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a))) (-.f64 (.f64 a a) (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a))) (/.f64 -1 (-.f64 (.f64 b b) (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (/.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 -1 (-.f64 (.f64 a a) (-.f64 (.f64 b b) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (neg.f64 a) b) (-.f64 -1 (-.f64 a (-.f64 b -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 (.f64 a a) (.f64 b b))) (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (fabs.f64 a) b) (+.f64 b (fabs.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (fabs.f64 a) b) (-.f64 (fabs.f64 a) (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 a (fabs.f64 b)) (+.f64 a (fabs.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (fabs.f64 a) (fabs.f64 b)) (-.f64 (fabs.f64 a) (fabs.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (fabs.f64 a) (fabs.f64 b)) (.f64 (-.f64 (fabs.f64 a) (fabs.f64 b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (fabs.f64 a) (fabs.f64 b)) (+.f64 (fabs.f64 a) (fabs.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 a (fabs.f64 b)) (-.f64 a (fabs.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 a (fabs.f64 b)) (.f64 (-.f64 a (fabs.f64 b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (fabs.f64 b) a) (-.f64 (neg.f64 a) (fabs.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 b (fabs.f64 a)) (-.f64 (fabs.f64 a) b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 b (fabs.f64 a)) (.f64 (-.f64 (fabs.f64 a) b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a))) (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a)))) (/.f64 (/.f64 1 (-.f64 (.f64 a a) (.f64 b b))) (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a))) (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a)))) (/.f64 (.f64 (/.f64 1 (-.f64 (.f64 a a) (.f64 b b))) 1) (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a))) (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a)))) (.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a))) (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a))))) (/.f64 (/.f64 (/.f64 1 (-.f64 (.f64 a a) (.f64 b b))) (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a)))) (.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a))) (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 b (neg.f64 a)) (-.f64 (neg.f64 a) b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (neg.f64 b) a) (-.f64 a (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (neg.f64 b) (neg.f64 a)) (-.f64 (neg.f64 a) (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 a a) (.f64 b b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 a a) (.f64 b b)) (/.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 b b) (.f64 a a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (.f64 b b) (.f64 a a)))))))

Outputs

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

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

simplify282.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

1206×	`rational.json-simplify-50`
954×	`rational.json-simplify-1`
886×	`rational.json-simplify-44`
858×	`rational.json-simplify-2`
798×	`rational.json-simplify-47`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	208	3330
1	429	3288
2	745	3288
3	1716	3288
4	5388	3120

Stop Event

1×	node limit

Counts

112 → 118

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 -1) b)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (.f64 (sqrt.f64 -1) b))) (*.f64 (sqrt.f64 -1) b))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (.f64 (sqrt.f64 -1) b))) (*.f64 (sqrt.f64 -1) b)))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (.f64 (sqrt.f64 -1) b))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 a 6) (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (*.f64 (sqrt.f64 -1) b))))
a
(+.f64 a (*.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(+.f64 a (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))) (.f64 -1/2 (/.f64 (pow.f64 b 2) a))))
(+.f64 a (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b 2) a)) (*.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 5))))))
(*.f64 -1 a)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) a)) (.f64 -1 a))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) a)) (*.f64 -1 a)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) a)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 5))) (.f64 -1 a))))
a
(+.f64 a (*.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(+.f64 a (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))) (.f64 -1/2 (/.f64 (pow.f64 b 2) a))))
(+.f64 a (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b 2) a)) (*.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 5))))))
(*.f64 (sqrt.f64 -1) b)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (.f64 (sqrt.f64 -1) b))) (*.f64 (sqrt.f64 -1) b))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (.f64 (sqrt.f64 -1) b))) (*.f64 (sqrt.f64 -1) b)))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (.f64 (sqrt.f64 -1) b))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 a 6) (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (*.f64 (sqrt.f64 -1) b))))
(.f64 -1 (.f64 (sqrt.f64 -1) b))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) b)) (.f64 -1/2 (/.f64 (pow.f64 a 2) (.f64 (sqrt.f64 -1) b))))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) b)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 a 2) (.f64 (sqrt.f64 -1) b))) (.f64 1/8 (/.f64 (pow.f64 a 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))))))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) b)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 a 2) (.f64 (sqrt.f64 -1) b))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 a 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (.f64 -1/16 (/.f64 (pow.f64 a 6) (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))))))
(*.f64 -1 (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(pow.f64 a 2)
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(pow.f64 a 2)
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(pow.f64 a 2)
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(*.f64 -1 (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(*.f64 -1 (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) 0)
(+.f64 0 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))))
(-.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) 0)
(-.f64 0 (neg.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))))
(-.f64 (-.f64 0 (-.f64 -1 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))))) 1)
(.f64 (sqrt.f64 (-.f64 (.f64 a a) (*.f64 b b))) 1)
(.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) (/.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) (sqrt.f64 (-.f64 (.f64 a a) (*.f64 b b)))))
(.f64 1 (sqrt.f64 (-.f64 (.f64 a a) (*.f64 b b))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))) (sqrt.f64 (-.f64 (.f64 a a) (*.f64 b b))))
(.f64 (sqrt.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a)))) (/.f64 1 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))))
(.f64 (sqrt.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a)))) (.f64 (/.f64 1 (sqrt.f64 (-.f64 (.f64 a a) (*.f64 b b)))) 1))
(.f64 (sqrt.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a)))) (/.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))) (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))))
(.f64 (/.f64 1 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))) (sqrt.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a)))))
(.f64 (sqrt.f64 (.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a))) (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a))))) (/.f64 (/.f64 1 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))) (sqrt.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (*.f64 a a))))))
(.f64 (sqrt.f64 (.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a))) (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a))))) (/.f64 (.f64 (/.f64 1 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))) 1) (sqrt.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a))))))
(.f64 (.f64 (sqrt.f64 (.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a))) (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a))))) (sqrt.f64 (.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a))) (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a)))))) (/.f64 (/.f64 (/.f64 1 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))) (sqrt.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a))))) (sqrt.f64 (.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a))) (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a)))))))
(/.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) 1)
(/.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) (/.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))))
(pow.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) 1)
(neg.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))))
(+.f64 (.f64 a a) (.f64 b (neg.f64 b)))
(+.f64 (-.f64 (.f64 a a) (.f64 b b)) 0)
(+.f64 0 (-.f64 (.f64 a a) (.f64 b b)))
(+.f64 1 (-.f64 (.f64 a a) (-.f64 (.f64 b b) -1)))
(+.f64 (.f64 b (neg.f64 b)) (.f64 a a))
(+.f64 (-.f64 (.f64 a a) (-.f64 (.f64 b b) -1)) 1)
(+.f64 (-.f64 -1 (.f64 b b)) (+.f64 1 (.f64 a a)))
(+.f64 (-.f64 -1 (.f64 b b)) (-.f64 1 (.f64 a (neg.f64 a))))
(.f64 (-.f64 (.f64 a a) (*.f64 b b)) 1)
(.f64 (-.f64 (.f64 a a) (.f64 b b)) (/.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (*.f64 a a))))
(.f64 1 (-.f64 (.f64 a a) (*.f64 b b)))
(.f64 (/.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a))) (-.f64 (.f64 a a) (*.f64 b b)))
(*.f64 (+.f64 a b) (-.f64 a b))
(*.f64 (-.f64 a b) (+.f64 a b))
(.f64 (-.f64 (.f64 b b) (*.f64 a a)) -1)
(.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a))) (/.f64 1 (-.f64 (.f64 a a) (.f64 b b))))
(.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a))) (.f64 (/.f64 1 (-.f64 (.f64 a a) (*.f64 b b))) 1))
(.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a))) (/.f64 (/.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a))) (-.f64 (.f64 a a) (.f64 b b))))
(.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a))) (/.f64 -1 (-.f64 (.f64 b b) (.f64 a a))))
(.f64 (neg.f64 (/.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 -1 (-.f64 (.f64 a a) (-.f64 (*.f64 b b) -1))))
(*.f64 (-.f64 (neg.f64 a) b) (-.f64 -1 (-.f64 a (-.f64 b -1))))
(.f64 (/.f64 1 (-.f64 (.f64 a a) (.f64 b b))) (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a))))
(*.f64 (-.f64 (fabs.f64 a) b) (+.f64 b (fabs.f64 a)))
(*.f64 (-.f64 (fabs.f64 a) b) (-.f64 (fabs.f64 a) (neg.f64 b)))
(*.f64 (-.f64 a (fabs.f64 b)) (+.f64 a (fabs.f64 b)))
(*.f64 (+.f64 (fabs.f64 a) (fabs.f64 b)) (-.f64 (fabs.f64 a) (fabs.f64 b)))
(.f64 (+.f64 (fabs.f64 a) (fabs.f64 b)) (.f64 (-.f64 (fabs.f64 a) (fabs.f64 b)) 1))
(*.f64 (-.f64 (fabs.f64 a) (fabs.f64 b)) (+.f64 (fabs.f64 a) (fabs.f64 b)))
(*.f64 (+.f64 a (fabs.f64 b)) (-.f64 a (fabs.f64 b)))
(.f64 (+.f64 a (fabs.f64 b)) (.f64 (-.f64 a (fabs.f64 b)) 1))
(*.f64 (-.f64 (fabs.f64 b) a) (-.f64 (neg.f64 a) (fabs.f64 b)))
(*.f64 (+.f64 b (fabs.f64 a)) (-.f64 (fabs.f64 a) b))
(.f64 (+.f64 b (fabs.f64 a)) (.f64 (-.f64 (fabs.f64 a) b) 1))
(.f64 (.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a))) (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a)))) (/.f64 (/.f64 1 (-.f64 (.f64 a a) (.f64 b b))) (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (*.f64 a a)))))
(.f64 (.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a))) (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a)))) (/.f64 (.f64 (/.f64 1 (-.f64 (.f64 a a) (.f64 b b))) 1) (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a)))))
(.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a))) (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a)))) (.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a))) (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a))))) (/.f64 (/.f64 (/.f64 1 (-.f64 (.f64 a a) (.f64 b b))) (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a)))) (.f64 (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a))) (.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a))))))
(*.f64 (+.f64 b (neg.f64 a)) (-.f64 (neg.f64 a) b))
(*.f64 (+.f64 (neg.f64 b) a) (-.f64 a (neg.f64 b)))
(*.f64 (+.f64 (neg.f64 b) (neg.f64 a)) (-.f64 (neg.f64 a) (neg.f64 b)))
(/.f64 (-.f64 (.f64 a a) (.f64 b b)) 1)
(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (/.f64 (-.f64 (.f64 b b) (.f64 a a)) (-.f64 (.f64 b b) (.f64 a a))))
(/.f64 (-.f64 (.f64 b b) (.f64 a a)) -1)
(pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 1)
(neg.f64 (-.f64 (.f64 b b) (.f64 a a)))

Outputs
(*.f64 (sqrt.f64 -1) b)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (.f64 (sqrt.f64 -1) b))) (*.f64 (sqrt.f64 -1) b))
(+.f64 (.f64 (sqrt.f64 -1) b) (.f64 1/2 (/.f64 (pow.f64 a 2) (*.f64 (sqrt.f64 -1) b))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (.f64 (sqrt.f64 -1) b))) (*.f64 (sqrt.f64 -1) b)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (.f64 (sqrt.f64 -1) b))) (+.f64 (.f64 (sqrt.f64 -1) b) (.f64 -1/8 (/.f64 (pow.f64 a 4) (*.f64 (sqrt.f64 -1) (pow.f64 b 3))))))
(+.f64 (.f64 (sqrt.f64 -1) b) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 4) (.f64 (sqrt.f64 -1) (pow.f64 b 3)))) (.f64 1/2 (/.f64 (pow.f64 a 2) (*.f64 (sqrt.f64 -1) b)))))
(+.f64 (.f64 (sqrt.f64 -1) b) (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (.f64 (sqrt.f64 -1) b))) (.f64 -1/8 (/.f64 (pow.f64 a 4) (*.f64 (sqrt.f64 -1) (pow.f64 b 3))))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (.f64 (sqrt.f64 -1) b))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 a 6) (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (*.f64 (sqrt.f64 -1) b))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 4) (.f64 (sqrt.f64 -1) (pow.f64 b 3)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (.f64 (sqrt.f64 -1) b))) (+.f64 (.f64 (sqrt.f64 -1) b) (.f64 1/16 (/.f64 (pow.f64 a 6) (*.f64 (sqrt.f64 -1) (pow.f64 b 5)))))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 4) (.f64 (sqrt.f64 -1) (pow.f64 b 3)))) (+.f64 (.f64 (sqrt.f64 -1) b) (+.f64 (.f64 1/16 (/.f64 (pow.f64 a 6) (.f64 (sqrt.f64 -1) (pow.f64 b 5)))) (.f64 1/2 (/.f64 (pow.f64 a 2) (*.f64 (sqrt.f64 -1) b))))))
(+.f64 (.f64 (sqrt.f64 -1) b) (+.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (.f64 (sqrt.f64 -1) b))) (.f64 -1/8 (/.f64 (pow.f64 a 4) (.f64 (sqrt.f64 -1) (pow.f64 b 3))))) (.f64 1/16 (/.f64 (pow.f64 a 6) (*.f64 (sqrt.f64 -1) (pow.f64 b 5))))))
(+.f64 (.f64 (sqrt.f64 -1) b) (+.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 4) (.f64 (sqrt.f64 -1) (pow.f64 b 3)))) (.f64 1/16 (/.f64 (pow.f64 a 6) (.f64 (sqrt.f64 -1) (pow.f64 b 5))))) (.f64 1/2 (/.f64 (pow.f64 a 2) (*.f64 (sqrt.f64 -1) b)))))
(+.f64 (.f64 (sqrt.f64 -1) b) (+.f64 (.f64 1/16 (/.f64 (pow.f64 a 6) (.f64 (sqrt.f64 -1) (pow.f64 b 5)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (.f64 (sqrt.f64 -1) b))) (.f64 -1/8 (/.f64 (pow.f64 a 4) (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))))))
a
(+.f64 a (*.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(+.f64 a (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))) (.f64 -1/2 (/.f64 (pow.f64 b 2) a))))
(+.f64 a (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b 2) a)) (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3)))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 b 2) a)) (+.f64 a (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3)))))
(+.f64 a (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b 2) a)) (*.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 5))))))
(+.f64 a (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b 2) a)) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 5))) (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))))))
(+.f64 a (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b 2) a)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))) (*.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 5))))))
(*.f64 -1 a)
(neg.f64 a)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) a)) (.f64 -1 a))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) a)) (neg.f64 a))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) a)) (*.f64 -1 a)))
(+.f64 (.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) 1/8) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) a)) (neg.f64 a)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) a)) (+.f64 (.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) 1/8) (neg.f64 a)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) a)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 5))) (.f64 -1 a))))
(+.f64 (.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) 1/8) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) a)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 5))) (neg.f64 a))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) a)) (+.f64 (+.f64 (.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) 1/8) (neg.f64 a)) (*.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 5)))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) a)) (+.f64 (.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) 1/8) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 5))) (neg.f64 a))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) a)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 5))) (+.f64 (*.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) 1/8) (neg.f64 a))))
a
(+.f64 a (*.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(+.f64 a (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))) (.f64 -1/2 (/.f64 (pow.f64 b 2) a))))
(+.f64 a (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b 2) a)) (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3)))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 b 2) a)) (+.f64 a (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3)))))
(+.f64 a (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b 2) a)) (*.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 5))))))
(+.f64 a (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b 2) a)) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 5))) (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))))))
(+.f64 a (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b 2) a)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))) (*.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 5))))))
(*.f64 (sqrt.f64 -1) b)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (.f64 (sqrt.f64 -1) b))) (*.f64 (sqrt.f64 -1) b))
(+.f64 (.f64 (sqrt.f64 -1) b) (.f64 1/2 (/.f64 (pow.f64 a 2) (*.f64 (sqrt.f64 -1) b))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (.f64 (sqrt.f64 -1) b))) (*.f64 (sqrt.f64 -1) b)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (.f64 (sqrt.f64 -1) b))) (+.f64 (.f64 (sqrt.f64 -1) b) (.f64 -1/8 (/.f64 (pow.f64 a 4) (*.f64 (sqrt.f64 -1) (pow.f64 b 3))))))
(+.f64 (.f64 (sqrt.f64 -1) b) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 4) (.f64 (sqrt.f64 -1) (pow.f64 b 3)))) (.f64 1/2 (/.f64 (pow.f64 a 2) (*.f64 (sqrt.f64 -1) b)))))
(+.f64 (.f64 (sqrt.f64 -1) b) (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (.f64 (sqrt.f64 -1) b))) (.f64 -1/8 (/.f64 (pow.f64 a 4) (*.f64 (sqrt.f64 -1) (pow.f64 b 3))))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (.f64 (sqrt.f64 -1) b))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 a 6) (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (*.f64 (sqrt.f64 -1) b))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 4) (.f64 (sqrt.f64 -1) (pow.f64 b 3)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (.f64 (sqrt.f64 -1) b))) (+.f64 (.f64 (sqrt.f64 -1) b) (.f64 1/16 (/.f64 (pow.f64 a 6) (*.f64 (sqrt.f64 -1) (pow.f64 b 5)))))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 4) (.f64 (sqrt.f64 -1) (pow.f64 b 3)))) (+.f64 (.f64 (sqrt.f64 -1) b) (+.f64 (.f64 1/16 (/.f64 (pow.f64 a 6) (.f64 (sqrt.f64 -1) (pow.f64 b 5)))) (.f64 1/2 (/.f64 (pow.f64 a 2) (*.f64 (sqrt.f64 -1) b))))))
(+.f64 (.f64 (sqrt.f64 -1) b) (+.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (.f64 (sqrt.f64 -1) b))) (.f64 -1/8 (/.f64 (pow.f64 a 4) (.f64 (sqrt.f64 -1) (pow.f64 b 3))))) (.f64 1/16 (/.f64 (pow.f64 a 6) (*.f64 (sqrt.f64 -1) (pow.f64 b 5))))))
(+.f64 (.f64 (sqrt.f64 -1) b) (+.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 4) (.f64 (sqrt.f64 -1) (pow.f64 b 3)))) (.f64 1/16 (/.f64 (pow.f64 a 6) (.f64 (sqrt.f64 -1) (pow.f64 b 5))))) (.f64 1/2 (/.f64 (pow.f64 a 2) (*.f64 (sqrt.f64 -1) b)))))
(+.f64 (.f64 (sqrt.f64 -1) b) (+.f64 (.f64 1/16 (/.f64 (pow.f64 a 6) (.f64 (sqrt.f64 -1) (pow.f64 b 5)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (.f64 (sqrt.f64 -1) b))) (.f64 -1/8 (/.f64 (pow.f64 a 4) (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))))))
(.f64 -1 (.f64 (sqrt.f64 -1) b))
(*.f64 (sqrt.f64 -1) (neg.f64 b))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) b)) (.f64 -1/2 (/.f64 (pow.f64 a 2) (.f64 (sqrt.f64 -1) b))))
(+.f64 (.f64 (sqrt.f64 -1) (neg.f64 b)) (.f64 (/.f64 (pow.f64 a 2) (*.f64 (sqrt.f64 -1) b)) -1/2))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) b)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 a 2) (.f64 (sqrt.f64 -1) b))) (.f64 1/8 (/.f64 (pow.f64 a 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))))))
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(+.f64 (.f64 a a) (.f64 b (neg.f64 b)))
(-.f64 (.f64 a a) (.f64 b b))
(pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 1)
(+.f64 (.f64 a a) (.f64 b (neg.f64 b)))
(-.f64 (.f64 a a) (.f64 b b))
(neg.f64 (-.f64 (.f64 b b) (.f64 a a)))
(+.f64 (.f64 a a) (.f64 b (neg.f64 b)))
(-.f64 (.f64 a a) (.f64 b b))

eval205.0ms (3.8%)

Compiler: Compiled 2568 to 1155 computations (55% saved)

prune41.0ms (0.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	116	2	118
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	116	3	119

Error

0.1b

Counts

119 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	29.9b	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
▶	30.0b	(neg.f64 a)
	33.7b	a

Compiler

Compiled 17 to 11 computations (35.3% saved)

localize4.0ms (0.1%)

Compiler: Compiled 5 to 3 computations (40% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	1	1
Total	3	3

Error

0.1b

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	29.9b	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
✓	30.0b	(neg.f64 a)
	33.7b	a

Compiler

Compiled 17 to 11 computations (35.3% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune3.0ms (0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Error

0.1b

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	29.9b	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
✓	30.0b	(neg.f64 a)
	33.7b	a

Compiler

Compiled 17 to 11 computations (35.3% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune3.0ms (0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Error

0.1b

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	29.9b	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
✓	30.0b	(neg.f64 a)
	33.7b	a

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes515.0ms (9.4%)

Accuracy

Total -63.1b remaining (-17497.4%)

Threshold costs -63.1b (-17497.4%)

Counts

3 → 2

Calls

Call 1

Inputs
a
(neg.f64 a)
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))

Outputs
(neg.f64 a)
a

Calls

6 calls:

182.0ms	b
125.0ms	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
122.0ms	a
43.0ms	(*.f64 b b)
20.0ms	(-.f64 (.f64 a a) (.f64 b b))

Results

Error	Segments	Branch
0.4b	2	`a`
19.9b	7	`b`
12.7b	3	`(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))`
12.7b	3	`(-.f64 (.f64 a a) (.f64 b b))`
12.7b	3	`(*.f64 a a)`
19.6b	6	`(*.f64 b b)`

Compiler

Compiled 48 to 28 computations (41.7% saved)

bsearch24.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
24.0ms	-2.0452817502594303e-252	8.926672694803262e-263

Results

23.0ms	187×	body	256	invalid
0.0ms	2×	body	256	valid

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify158.0ms (2.9%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	16

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs

(if (<=.f64 a -8441493463231551/4127301024497384737127654569660285988428494734657199391624693039270889863724412964643884811622321780427143710884821317803768340308614730759769835769241715444596770968742227220068214981847081570726751819595399909407406471037121576084674975771617472472574520163263578112) (neg.f64 a) a)

Outputs

(if (<=.f64 a -8441493463231551/4127301024497384737127654569660285988428494734657199391624693039270889863724412964643884811622321780427143710884821317803768340308614730759769835769241715444596770968742227220068214981847081570726751819595399909407406471037121576084674975771617472472574520163263578112) (neg.f64 a) a)

Compiler

Compiled 12 to 8 computations (33.3% saved)

soundness289.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

1206×	`rational.json-simplify-50`
954×	`rational.json-simplify-1`
886×	`rational.json-simplify-44`
858×	`rational.json-simplify-2`
798×	`rational.json-simplify-47`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	208	3330
1	429	3288
2	745	3288
3	1716	3288
4	5388	3120

Stop Event

1×	node limit

Compiler

Compiled 10 to 7 computations (30% saved)

end19.0ms (0.3%)

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

Details

analyze177.0ms (3.2%)

sample3.4s (62.4%)

preprocess12.0ms (0.2%)

simplify27.0ms (0.5%)

eval1.0ms (0%)

prune1.0ms (0%)

localize145.0ms (2.7%)

series7.0ms (0.1%)

rewrite142.0ms (2.6%)

simplify282.0ms (5.2%)

eval205.0ms (3.8%)

prune41.0ms (0.7%)

localize4.0ms (0.1%)

eval0.0ms (0%)

prune2.0ms (0%)

eval0.0ms (0%)

prune3.0ms (0%)

eval0.0ms (0%)

prune3.0ms (0%)

regimes515.0ms (9.4%)

bsearch24.0ms (0.4%)

simplify158.0ms (2.9%)

soundness289.0ms (5.3%)

end19.0ms (0.3%)

Profiling