Details

analyze58.0ms (1.5%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	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)

sample2.5s (66.5%)

Results

2.4s	8256×	body	256	valid
50.0ms	661×	body	256	invalid

Bogosity

preprocess119.0ms (3.2%)

Algorithm

2×	egg-herbie

Rules

1098×	`rational.json-simplify-2`
916×	`rational.json-simplify-44`
898×	`rational.json-simplify-37`
814×	`rational.json-simplify-47`
790×	`rational.json-simplify-39`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	46
1	19	46
2	30	46
3	84	46
4	392	46
5	3946	46
6	6266	46
7	7489	46
0	2	2

Stop Event

1×	saturated
1×	node limit

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 a) (-.f64 a b)))
(sqrt.f64 (*.f64 (+.f64 a b) (-.f64 a b)))
(sqrt.f64 (-.f64 (.f64 b b) (.f64 a a)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify629.0ms (16.8%)

Algorithm

1×	egg-herbie

Rules

1090×	`rational.json-simplify-2`
926×	`rational.json-simplify-44`
902×	`rational.json-simplify-37`
820×	`rational.json-simplify-47`
802×	`rational.json-simplify-39`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	14	23
2	24	23
3	69	23
4	374	23
5	3947	23
6	6239	23
7	7400	23

Stop Event

1×	node limit

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)))

eval0.0ms (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

31.6b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	31.6b	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))

Compiler

Compiled 10 to 6 computations (40% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.8b	(-.f64 (.f64 a a) (.f64 b b))
✓	29.5b	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))

Compiler

Compiled 25 to 6 computations (76% saved)

series3.0ms (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)))
0.0ms	a	@	inf	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
0.0ms	b	@	0	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
0.0ms	b	@	inf	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
0.0ms	b	@	-inf	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))

rewrite54.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1454×	`rational.json-simplify-35`
1152×	`bool.json-1`
1152×	`bool.json-2`
1138×	`rational.json-1`
1138×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	42
1	91	42
2	274	42
3	724	42
4	2842	42

Stop Event

1×	node limit

Counts

2 → 49

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

simplify94.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1068×	`rational.json-simplify-2`
1066×	`rational.json-simplify-1`
872×	`rational.json-simplify-44`
766×	`rational.json-simplify-51`
728×	`rational.json-simplify-47`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	165	3035
1	340	2977
2	683	2977
3	1866	2977
4	6389	2837

Stop Event

1×	node limit

Counts

97 → 107

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

eval34.0ms (0.9%)

Compiler: Compiled 1852 to 1210 computations (34.7% saved)

prune14.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	105	2	107
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	105	3	108

Error

0.3b

Counts

108 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	31.6b	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
▶	30.5b	(neg.f64 a)
	33.4b	a

Compiler

Compiled 17 to 11 computations (35.3% saved)

localize3.0ms (0.1%)

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

eval0.0ms (0%)

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

prune1.0ms (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

0.3b

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	31.6b	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
✓	30.5b	(neg.f64 a)
	33.4b	a

Compiler

Compiled 17 to 11 computations (35.3% saved)

eval0.0ms (0%)

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

prune1.0ms (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

0.3b

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	31.6b	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
✓	30.5b	(neg.f64 a)
	33.4b	a

Compiler

Compiled 17 to 11 computations (35.3% saved)

eval0.0ms (0%)

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

prune1.0ms (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

0.3b

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	31.6b	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
✓	30.5b	(neg.f64 a)
	33.4b	a

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes71.0ms (1.9%)

Accuracy

Total -62.8b remaining (-10493.2%)

Threshold costs -62.8b (-10493.2%)

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:

26.0ms	b
12.0ms	(*.f64 b b)
9.0ms	(-.f64 (.f64 a a) (.f64 b b))
8.0ms	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
8.0ms	(*.f64 a a)

Results

Error	Segments	Branch
0.6b	2	`a`
20.8b	8	`b`
13.5b	3	`(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))`
13.5b	3	`(-.f64 (.f64 a a) (.f64 b b))`
13.5b	3	`(*.f64 a a)`
22.6b	5	`(*.f64 b b)`

Compiler

Compiled 48 to 28 computations (41.7% saved)

bsearch33.0ms (0.9%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
33.0ms	-2.3353896247746582e-262	7.48752312843505e-276

Results

31.0ms	375×	body	256	invalid
1.0ms	13×	body	256	valid

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify2.0ms (0%)

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 -4139857125191095/17726622920963562283492833353875882150307419319860869157979152909707315649514250439943889552308992750523075148942386782770807567185698815677056677116184170553481231217950104164393978236130449019315710017470734562946173533283208371259654747728689409291887821024109648618981425152) (neg.f64 a) a)

Outputs

(if (<=.f64 a -4139857125191095/17726622920963562283492833353875882150307419319860869157979152909707315649514250439943889552308992750523075148942386782770807567185698815677056677116184170553481231217950104164393978236130449019315710017470734562946173533283208371259654747728689409291887821024109648618981425152) (neg.f64 a) a)

Compiler

Compiled 12 to 8 computations (33.3% saved)

soundness111.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1068×	`rational.json-simplify-2`
1066×	`rational.json-simplify-1`
872×	`rational.json-simplify-44`
766×	`rational.json-simplify-51`
728×	`rational.json-simplify-47`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	165	3035
1	340	2977
2	683	2977
3	1866	2977
4	6389	2837

Stop Event

1×	node limit

Compiler

Compiled 10 to 7 computations (30% saved)

end18.0ms (0.5%)

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

Details

analyze58.0ms (1.5%)

sample2.5s (66.5%)

preprocess119.0ms (3.2%)

simplify629.0ms (16.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.2%)

series3.0ms (0.1%)

rewrite54.0ms (1.5%)

simplify94.0ms (2.5%)

eval34.0ms (0.9%)

prune14.0ms (0.4%)

localize3.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

eval0.0ms (0%)

prune1.0ms (0%)

eval0.0ms (0%)

prune1.0ms (0%)

regimes71.0ms (1.9%)

bsearch33.0ms (0.9%)

simplify2.0ms (0%)

soundness111.0ms (3%)

end18.0ms (0.5%)

Profiling