Details

analyze16.0ms (0.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	37.5%	62.5%	0
0%	37.5%	62.5%	1
0%	18.7%	81.3%	2
0%	9.4%	90.6%	3
0%	9.4%	90.6%	4
0%	7%	93%	5
1.2%	4.7%	94.1%	6
1.2%	3.5%	95.3%	7
1.8%	2.6%	95.6%	8
2%	1.9%	96%	9
2.4%	1.3%	96.3%	10
2.6%	1%	96.5%	11
2.7%	0.7%	96.6%	12

Compiler

Compiled 26 to 15 computations (42.3% saved)

sample1.3s (37.5%)

Results

1.2s	8256×	body	256	valid
99.0ms	751×	body	256	invalid

preprocess111.0ms (3.1%)

Algorithm

2×	egg-herbie

Rules

746×	`fma-neg_binary64`
356×	`fabs-div_binary64`
352×	`distribute-neg-frac_binary64`
303×	`associate-/l*_binary64`
301×	`fabs-mul_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	40
1	47	34
2	137	30
3	394	30
4	1278	30
5	5462	30
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 b b) (.f64 a a)) (*.f64 b b))))

Outputs
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 b b) (.f64 a a)) (*.f64 b b))))
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 a b) (/.f64 a b)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 a b) (/.f64 a b) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 a (/.f64 a (*.f64 b b)) -1)))

Compiler

Compiled 17 to 10 computations (41.2% saved)

simplify65.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

704×	`fma-def_binary64`
605×	`associate-/r*_binary64`
561×	`associate-l_binary64`
491×	`associate-r_binary64`
345×	`fabs-div_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	26	17
2	72	15
3	201	15
4	553	15
5	1982	15
6	7717	15

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

Outputs
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))

eval1.0ms (0%)

Compiler: Compiled 25 to 13 computations (48% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

17.8b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	17.8b	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

Compiler

Compiled 15 to 8 computations (46.7% saved)

localize12.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
✓	17.2b	(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))

Compiler

Compiled 53 to 8 computations (84.9% saved)

series7.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite75.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

881×	`prod-diff_binary64`
506×	`log-prod_binary64`
413×	`fma-def_binary64`
251×	`pow2_binary64`
206×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	36
1	214	28
2	3342	22

Stop Event

1×	node limit

Counts

2 → 89

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (pow.f64 (/.f64 b a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 a a) (.f64 b b)) (pow.f64 a -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 a a) (.f64 b b)) (fabs.f64 (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 a a) (.f64 b b))) 2) (.f64 (cbrt.f64 (-.f64 (.f64 a a) (.f64 b b))) (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4) (.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 a (sqrt.f64 (.f64 b (neg.f64 b)))) (.f64 (hypot.f64 a (sqrt.f64 (.f64 b (neg.f64 b)))) (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 a b) (neg.f64 (-.f64 a b))) (/.f64 1 (.f64 a (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 a -2) (-.f64 (.f64 a a) (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 a b) (.f64 (-.f64 a b) (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 a b) (/.f64 a (-.f64 a b))) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4) 3) (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fabs.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 2))) (fabs.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 a) (/.f64 (+.f64 a b) (/.f64 a (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (pow.f64 a 4))) (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (pow.f64 (cbrt.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 a a) (.f64 b b))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (.f64 a a) (.f64 b b))) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (hypot.f64 a (sqrt.f64 (.f64 b (neg.f64 b)))) 1) (/.f64 (hypot.f64 a (sqrt.f64 (.f64 b (neg.f64 b)))) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 a b) 1) (/.f64 (-.f64 a b) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 a a) (.f64 b b))) 2) a) (/.f64 (cbrt.f64 (-.f64 (.f64 a a) (.f64 b b))) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 a b) a) (/.f64 (-.f64 a b) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 a a) (.f64 b b))) 2) (cbrt.f64 (pow.f64 a 4))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (hypot.f64 a (sqrt.f64 (.f64 b (neg.f64 b)))) (cbrt.f64 (pow.f64 a 4))) (/.f64 (hypot.f64 a (sqrt.f64 (.f64 b (neg.f64 b)))) (pow.f64 (cbrt.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 a b) (cbrt.f64 (pow.f64 a 4))) (/.f64 (-.f64 a b) (pow.f64 (cbrt.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 3) (pow.f64 a 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fabs.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 (pow.f64 (/.f64 b a) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 3) (pow.f64 a 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4) (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 a (sqrt.f64 (.f64 b (neg.f64 b)))) (sqrt.f64 (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 2))) (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 2)) 1/2) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (hypot.f64 a (sqrt.f64 (.f64 b (neg.f64 b)))) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (+.f64 a b) (/.f64 a (-.f64 a b)))) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (.f64 (+.f64 a b) (neg.f64 (-.f64 a b)))) (sqrt.f64 (.f64 a (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) 1))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (pow.f64 (/.f64 b a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (pow.f64 a -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (fabs.f64 (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) 2) (*.f64 (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4) (*.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) (*.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 a b) (neg.f64 (-.f64 a b))) (/.f64 1 (*.f64 a (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a -2) (-.f64 (*.f64 a a) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a b) (*.f64 (-.f64 a b) (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 a b) (/.f64 a (-.f64 a b))) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4) 3) (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 2))) (fabs.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (/.f64 (+.f64 a b) (/.f64 a (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 a 4))) (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (pow.f64 (cbrt.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) 1) (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 a b) 1) (/.f64 (-.f64 a b) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) 2) a) (/.f64 (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 a b) a) (/.f64 (-.f64 a b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) 2) (cbrt.f64 (pow.f64 a 4))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) (cbrt.f64 (pow.f64 a 4))) (/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) (pow.f64 (cbrt.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 a b) (cbrt.f64 (pow.f64 a 4))) (/.f64 (-.f64 a b) (pow.f64 (cbrt.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 3) (pow.f64 a 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fabs.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 (pow.f64 (/.f64 b a) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 3) (pow.f64 a 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4) (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) (sqrt.f64 (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 2))) (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 2)) 1/2) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (+.f64 a b) (/.f64 a (-.f64 a b)))) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (+.f64 a b) (neg.f64 (-.f64 a b)))) (sqrt.f64 (*.f64 a (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) 1))))))

simplify77.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

806×	`fma-neg_binary64`
715×	`associate-/r*_binary64`
681×	`associate-/l/_binary64`
468×	`associate-/r/_binary64`
420×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	789
1	36	681
2	91	633
3	279	633
4	1300	633
5	7266	633

Stop Event

1×	node limit

Counts

137 → 96

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))

Outputs
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(neg.f64 (/.f64 (.f64 b b) (.f64 a a)))
(neg.f64 (*.f64 (/.f64 b a) (/.f64 b a)))
(*.f64 (/.f64 b a) (/.f64 (neg.f64 b) a))
(.f64 (/.f64 b (.f64 a a)) (neg.f64 b))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (neg.f64 (/.f64 (.f64 b b) (.f64 a a))) 1)
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (.f64 b (/.f64 b (.f64 a a))))
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (neg.f64 (/.f64 (.f64 b b) (.f64 a a))) 1)
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (.f64 b (/.f64 b (.f64 a a))))
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (neg.f64 (/.f64 (.f64 b b) (.f64 a a))) 1)
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (.f64 b (/.f64 b (.f64 a a))))
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (neg.f64 (/.f64 (.f64 b b) (.f64 a a))) 1)
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (.f64 b (/.f64 b (.f64 a a))))
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (neg.f64 (/.f64 (.f64 b b) (.f64 a a))) 1)
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (.f64 b (/.f64 b (.f64 a a))))
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (neg.f64 (/.f64 (.f64 b b) (.f64 a a))) 1)
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (.f64 b (/.f64 b (.f64 a a))))
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (neg.f64 (/.f64 (.f64 b b) (.f64 a a))) 1)
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (.f64 b (/.f64 b (.f64 a a))))
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (neg.f64 (/.f64 (.f64 b b) (.f64 a a))) 1)
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (.f64 b (/.f64 b (.f64 a a))))
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (neg.f64 (/.f64 (.f64 b b) (.f64 a a))) 1)
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (.f64 b (/.f64 b (.f64 a a))))
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (neg.f64 (/.f64 (.f64 b b) (.f64 a a))) 1)
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (.f64 b (/.f64 b (.f64 a a))))
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (neg.f64 (/.f64 (.f64 b b) (.f64 a a))) 1)
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (.f64 b (/.f64 b (.f64 a a))))
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (neg.f64 (/.f64 (.f64 b b) (.f64 a a))) 1)
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (.f64 b (/.f64 b (.f64 a a))))
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(neg.f64 (/.f64 (.f64 b b) (.f64 a a)))
(neg.f64 (*.f64 (/.f64 b a) (/.f64 b a)))
(*.f64 (/.f64 b a) (/.f64 (neg.f64 b) a))
(.f64 (/.f64 b (.f64 a a)) (neg.f64 b))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (neg.f64 (/.f64 (.f64 b b) (.f64 a a))) 1)
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (.f64 b (/.f64 b (.f64 a a))))
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (neg.f64 (/.f64 (.f64 b b) (.f64 a a))) 1)
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (.f64 b (/.f64 b (.f64 a a))))
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (neg.f64 (/.f64 (.f64 b b) (.f64 a a))) 1)
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (.f64 b (/.f64 b (.f64 a a))))
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(neg.f64 (/.f64 (.f64 b b) (.f64 a a)))
(neg.f64 (*.f64 (/.f64 b a) (/.f64 b a)))
(*.f64 (/.f64 b a) (/.f64 (neg.f64 b) a))
(.f64 (/.f64 b (.f64 a a)) (neg.f64 b))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (neg.f64 (/.f64 (.f64 b b) (.f64 a a))) 1)
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (.f64 b (/.f64 b (.f64 a a))))
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (neg.f64 (/.f64 (.f64 b b) (.f64 a a))) 1)
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (.f64 b (/.f64 b (.f64 a a))))
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (neg.f64 (/.f64 (.f64 b b) (.f64 a a))) 1)
(-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))
(-.f64 1 (.f64 b (/.f64 b (.f64 a a))))
(neg.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))

eval30.0ms (0.8%)

Compiler: Compiled 1428 to 890 computations (37.7% saved)

prune13.0ms (0.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	92	4	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	4	97

Error

Counts

97 → 4

Alt Table

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Status	Error	Program
▶	0.0b	(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (+.f64 a b) a) (/.f64 (-.f64 a b) a))))
▶	1.2b	(sqrt.f64 (fabs.f64 1))
▶	0.0b	(pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/2)
▶	0.0b	(/.f64 1 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))

Compiler

Compiled 45 to 35 computations (22.2% saved)

localize33.0ms (0.9%)

Compiler: Compiled 8 to 8 computations (0% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (+.f64 a b) a) (/.f64 (-.f64 a b) a))))
✓	0.0b	(/.f64 (-.f64 a b) a)
✓	0.0b	(/.f64 (+.f64 a b) a)
✓	0.1b	(*.f64 (/.f64 (+.f64 a b) a) (/.f64 (-.f64 a b) a))

Compiler

Compiled 56 to 9 computations (83.9% saved)

series13.0ms (0.4%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	b	@	0	(/.f64 (-.f64 a b) a)
1.0ms	a	@	inf	(*.f64 (/.f64 (+.f64 a b) a) (/.f64 (-.f64 a b) a))
1.0ms	b	@	inf	(*.f64 (/.f64 (+.f64 a b) a) (/.f64 (-.f64 a b) a))
1.0ms	a	@	0	(*.f64 (/.f64 (+.f64 a b) a) (/.f64 (-.f64 a b) a))
1.0ms	b	@	0	(*.f64 (/.f64 (+.f64 a b) a) (/.f64 (-.f64 a b) a))

rewrite82.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

626×	`log-prod_binary64`
588×	`prod-diff_binary64`
287×	`fma-def_binary64`
268×	`log-div_binary64`
197×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	50
1	237	45
2	3901	45

Stop Event

1×	node limit

Counts

4 → 170

Calls

Call 1

Inputs
(*.f64 (/.f64 (+.f64 a b) a) (/.f64 (-.f64 a b) a))
(/.f64 (+.f64 a b) a)
(/.f64 (-.f64 a b) a)
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (+.f64 a b) a) (/.f64 (-.f64 a b) a))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 a b) (.f64 a (/.f64 a (-.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 a b) (.f64 a (/.f64 a (-.f64 a b)))))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 a b) (.f64 a (/.f64 a (-.f64 a b)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 a b) (.f64 a (/.f64 a (-.f64 a b))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 a b) (.f64 a (/.f64 a (-.f64 a b))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 a b) (.f64 a (/.f64 a (-.f64 a b))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 a b) (.f64 a (/.f64 a (-.f64 a b)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 a b) (.f64 (/.f64 a (-.f64 a b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 a b) (.f64 a (/.f64 a (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 a b) (/.f64 (.f64 a a) (-.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 a b) (/.f64 a (-.f64 1 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 a b) a) (/.f64 a (-.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 a b) (.f64 (/.f64 a (+.f64 a b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 a b) (.f64 a (/.f64 a (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (/.f64 b a)) (/.f64 a (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (.f64 (/.f64 a (+.f64 a b)) (/.f64 a (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (.f64 (/.f64 a (-.f64 a b)) (/.f64 a (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (.f64 a a) (-.f64 (.f64 a a) (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (.f64 (+.f64 a b) (-.f64 1 (/.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 a b)) (.f64 (/.f64 a (-.f64 a b)) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 a b)) (.f64 (/.f64 a (+.f64 a b)) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 a b) (-.f64 1 (/.f64 b a))) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fabs.f64 (-.f64 (.f64 a a) (.f64 b b))) (fabs.f64 (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fabs.f64 (.f64 (+.f64 a b) (-.f64 1 (/.f64 b a)))) (fabs.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (+.f64 a b) (-.f64 1 (/.f64 b a)))) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (.f64 a a) (.f64 b b))) (neg.f64 (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (-.f64 a b)) 1) (.f64 (neg.f64 a) (/.f64 a (+.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (+.f64 a b)) 1) (.f64 (neg.f64 a) (/.f64 a (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (+.f64 a b)) (-.f64 a b)) (.f64 (neg.f64 a) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 a b) (neg.f64 (-.f64 a b))) (.f64 a (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (+.f64 a b)) (neg.f64 (-.f64 a b))) (.f64 (neg.f64 a) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (-.f64 a b)) (+.f64 a b)) (.f64 (neg.f64 a) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 a b) (neg.f64 (+.f64 a b))) (.f64 a (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (-.f64 a b)) (neg.f64 (+.f64 a b))) (.f64 (neg.f64 a) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (+.f64 a b) (-.f64 1 (/.f64 b a))) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (+.f64 a b) (-.f64 1 (/.f64 b a))) (cbrt.f64 (.f64 a a))) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (+.f64 a b) (-.f64 1 (/.f64 b a))) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (+.f64 a b)) (-.f64 1 (/.f64 b a))) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (-.f64 a b)) (/.f64 (+.f64 a b) a)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (+.f64 a b) a) (neg.f64 (-.f64 a b))) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (/.f64 b a)) (neg.f64 (+.f64 a b))) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 a b) (.f64 a (/.f64 a (-.f64 a b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) a) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 a b) (.f64 a (/.f64 a (-.f64 a b)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 a b) (.f64 a (/.f64 a (-.f64 a b)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 a b) (.f64 a (/.f64 a (-.f64 a b))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 a b) (.f64 a (/.f64 a (-.f64 a b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (+.f64 a b) (.f64 a (/.f64 a (-.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (/.f64 (+.f64 a b) a) (neg.f64 (-.f64 1 (/.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (.f64 (/.f64 (+.f64 a b) a) (neg.f64 (-.f64 1 (/.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 a b) (.f64 a (/.f64 a (-.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 a b) (.f64 a (/.f64 a (-.f64 a b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 a b) (.f64 a (/.f64 a (-.f64 a b)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (/.f64 (+.f64 a b) a) 3) (pow.f64 (-.f64 1 (/.f64 b a)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (-.f64 1 (/.f64 b a)) 3) (pow.f64 (/.f64 (+.f64 a b) a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 a b) (.f64 a (/.f64 a (-.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 a b) (.f64 a (/.f64 a (-.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 a b) (.f64 a (/.f64 a (-.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (+.f64 a b) (*.f64 a (/.f64 a (-.f64 a b))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 a b) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 a b) a))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 a b) a))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 a b) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 a b) a)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 a b) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 a b) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 a b) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 a b) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (+.f64 a b) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (+.f64 a b) a)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 a b) a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 a b) a) 2)) (cbrt.f64 (/.f64 (+.f64 a b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 a b)) 2) (.f64 (cbrt.f64 (+.f64 a b)) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (+.f64 a b) a)) (sqrt.f64 (/.f64 (+.f64 a b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 a b)) (.f64 (sqrt.f64 (+.f64 a b)) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (+.f64 a b)) (/.f64 1 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 a) (+.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fabs.f64 (+.f64 a b)) (fabs.f64 (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fabs.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 a b) a) 2))) (fabs.f64 (cbrt.f64 (/.f64 (+.f64 a b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) 2) 1) (/.f64 (cbrt.f64 (+.f64 a b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 a b)) 1) (/.f64 (sqrt.f64 (+.f64 a b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (.f64 a a))) (/.f64 (+.f64 a b) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) 2) (cbrt.f64 (.f64 a a))) (cbrt.f64 (/.f64 (+.f64 a b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 a b)) (cbrt.f64 (.f64 a a))) (/.f64 (sqrt.f64 (+.f64 a b)) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (+.f64 a b) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 (+.f64 a b)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 a b) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 a b) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 a b) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 a b) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (+.f64 a b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 a b) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 a b) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (+.f64 a b) a))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (/.f64 (+.f64 a b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 a b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 a b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 a b) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 a b) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 a b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 a b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 a b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (+.f64 a b) a)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (-.f64 1 (/.f64 b a)))) (cbrt.f64 (exp.f64 (-.f64 1 (/.f64 b a)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (/.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (/.f64 b a))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (/.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 1 (/.f64 b a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 a b) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (/.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 1 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 a b)) 2) (.f64 (cbrt.f64 (-.f64 a b)) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 1 (/.f64 b a))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 b a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 b a))) 2) (cbrt.f64 (-.f64 1 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 a b)) (.f64 (sqrt.f64 (-.f64 a b)) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 1 (/.f64 b a))) (sqrt.f64 (-.f64 1 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (-.f64 a b)) (/.f64 1 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 a) (-.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fabs.f64 (-.f64 a b)) (fabs.f64 (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fabs.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 b a))) 2)) (fabs.f64 (cbrt.f64 (-.f64 1 (/.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (.f64 a a))) (/.f64 (-.f64 a b) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (-.f64 a b) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 a b)) 2) 1) (/.f64 (cbrt.f64 (-.f64 a b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (-.f64 a b)) 1) (/.f64 (sqrt.f64 (-.f64 a b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 a b)) 2) (cbrt.f64 (.f64 a a))) (cbrt.f64 (-.f64 1 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (-.f64 a b)) (cbrt.f64 (.f64 a a))) (/.f64 (sqrt.f64 (-.f64 a b)) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 a b)) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 (-.f64 a b)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (/.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (/.f64 b a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (/.f64 b a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (/.f64 b a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (-.f64 a b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 a b) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (/.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 1 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (-.f64 1 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 (/.f64 b a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (/.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (/.f64 b a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 a b) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log1p.f64 (neg.f64 (/.f64 b a))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) a))) (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) a))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) a)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (+.f64 a b) (.f64 a (/.f64 a (-.f64 a b))))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) a)) (cbrt.f64 (/.f64 (+.f64 a b) (.f64 a (/.f64 a (-.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (+.f64 a b) a)) (sqrt.f64 (-.f64 1 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) a)) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 1 (/.f64 b a))) (sqrt.f64 (/.f64 (+.f64 a b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 a b) (.f64 a (/.f64 a (-.f64 a b)))) 2))) (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 a b) (.f64 a (/.f64 a (-.f64 a b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (/.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 a b) (.f64 a (/.f64 a (-.f64 a b)))) 2)) 1/2) (pow.f64 (cbrt.f64 (/.f64 (+.f64 a b) (.f64 a (/.f64 a (-.f64 a b))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (.f64 (+.f64 a b) (-.f64 1 (/.f64 b a)))) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) a)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 a b) (.f64 a (/.f64 a (-.f64 a b)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) a))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (+.f64 a b) (.f64 a (/.f64 a (-.f64 a b))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) a)) 1))))))

simplify78.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

472×	`fma-neg_binary64`
339×	`associate-/l/_binary64`
328×	`div-sub_binary64`
319×	`cancel-sign-sub-inv_binary64`
310×	`fabs-div_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	1277
1	132	1196
2	423	1151
3	1788	896
4	7575	896

Stop Event

1×	node limit

Counts

266 → 187

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 (/.f64 b a) (+.f64 (.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -1 (/.f64 b a))))
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -1 (/.f64 b a)))))
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -1 (/.f64 b a)))))
1
(+.f64 (/.f64 b a) (+.f64 1 (*.f64 -1 (/.f64 b a))))
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -1 (/.f64 b a)))))
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -1 (/.f64 b a)))))
1
(+.f64 (/.f64 b a) (+.f64 1 (*.f64 -1 (/.f64 b a))))
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -1 (/.f64 b a)))))
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -1 (/.f64 b a)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(/.f64 b a)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
1
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
1
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
1
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(/.f64 b a)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(/.f64 b a)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(*.f64 -1 (/.f64 b a))
(+.f64 1 (*.f64 -1 (/.f64 b a)))
(+.f64 1 (*.f64 -1 (/.f64 b a)))
(+.f64 1 (*.f64 -1 (/.f64 b a)))
1
(+.f64 1 (*.f64 -1 (/.f64 b a)))
(+.f64 1 (*.f64 -1 (/.f64 b a)))
(+.f64 1 (*.f64 -1 (/.f64 b a)))
1
(+.f64 1 (*.f64 -1 (/.f64 b a)))
(+.f64 1 (*.f64 -1 (/.f64 b a)))
(+.f64 1 (*.f64 -1 (/.f64 b a)))
1
(+.f64 1 (*.f64 -1 (/.f64 b a)))
(+.f64 1 (*.f64 -1 (/.f64 b a)))
(+.f64 1 (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 1 (*.f64 -1 (/.f64 b a)))
(+.f64 1 (*.f64 -1 (/.f64 b a)))
(+.f64 1 (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 1 (*.f64 -1 (/.f64 b a)))
(+.f64 1 (*.f64 -1 (/.f64 b a)))
(+.f64 1 (*.f64 -1 (/.f64 b a)))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (.f64 -1 (/.f64 (.f64 (-.f64 b (.f64 -1 a)) (+.f64 b (.f64 -1 a))) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (.f64 -1 (/.f64 (.f64 (-.f64 b (.f64 -1 a)) (+.f64 b (.f64 -1 a))) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (.f64 -1 (/.f64 (.f64 (-.f64 b (.f64 -1 a)) (+.f64 b (.f64 -1 a))) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (.f64 -1 (/.f64 (.f64 (-.f64 b (.f64 -1 a)) (+.f64 b (.f64 -1 a))) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a (.f64 -1 b)) (+.f64 a (*.f64 -1 b))) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a (.f64 -1 b)) (+.f64 a (*.f64 -1 b))) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a (.f64 -1 b)) (+.f64 a (*.f64 -1 b))) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a (.f64 -1 b)) (+.f64 a (*.f64 -1 b))) (pow.f64 a 2))))

Outputs
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(neg.f64 (/.f64 (.f64 b b) (.f64 a a)))
(/.f64 (.f64 (neg.f64 b) b) (.f64 a a))
(/.f64 (.f64 b (neg.f64 b)) (.f64 a a))
(*.f64 (/.f64 b a) (/.f64 (neg.f64 b) a))
(+.f64 (/.f64 b a) (+.f64 (.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -1 (/.f64 b a))))
(neg.f64 (/.f64 (.f64 b b) (.f64 a a)))
(/.f64 (.f64 (neg.f64 b) b) (.f64 a a))
(/.f64 (.f64 b (neg.f64 b)) (.f64 a a))
(*.f64 (/.f64 b a) (/.f64 (neg.f64 b) a))
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -1 (/.f64 b a)))))
(+.f64 (/.f64 b a) (+.f64 (fma.f64 -1 (/.f64 (.f64 b b) (.f64 a a)) (/.f64 (neg.f64 b) a)) 1))
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a)))
(+.f64 (*.f64 (/.f64 b a) (-.f64 -1 (/.f64 b a))) (+.f64 (/.f64 b a) 1))
(-.f64 1 (.f64 b (/.f64 b (.f64 a a))))
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -1 (/.f64 b a)))))
(+.f64 (/.f64 b a) (+.f64 (fma.f64 -1 (/.f64 (.f64 b b) (.f64 a a)) (/.f64 (neg.f64 b) a)) 1))
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a)))
(+.f64 (*.f64 (/.f64 b a) (-.f64 -1 (/.f64 b a))) (+.f64 (/.f64 b a) 1))
(-.f64 1 (.f64 b (/.f64 b (.f64 a a))))
1
(+.f64 (/.f64 b a) (+.f64 1 (*.f64 -1 (/.f64 b a))))
1
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -1 (/.f64 b a)))))
(+.f64 (/.f64 b a) (+.f64 (fma.f64 -1 (/.f64 (.f64 b b) (.f64 a a)) (/.f64 (neg.f64 b) a)) 1))
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a)))
(+.f64 (*.f64 (/.f64 b a) (-.f64 -1 (/.f64 b a))) (+.f64 (/.f64 b a) 1))
(-.f64 1 (.f64 b (/.f64 b (.f64 a a))))
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -1 (/.f64 b a)))))
(+.f64 (/.f64 b a) (+.f64 (fma.f64 -1 (/.f64 (.f64 b b) (.f64 a a)) (/.f64 (neg.f64 b) a)) 1))
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a)))
(+.f64 (*.f64 (/.f64 b a) (-.f64 -1 (/.f64 b a))) (+.f64 (/.f64 b a) 1))
(-.f64 1 (.f64 b (/.f64 b (.f64 a a))))
1
(+.f64 (/.f64 b a) (+.f64 1 (*.f64 -1 (/.f64 b a))))
1
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -1 (/.f64 b a)))))
(+.f64 (/.f64 b a) (+.f64 (fma.f64 -1 (/.f64 (.f64 b b) (.f64 a a)) (/.f64 (neg.f64 b) a)) 1))
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a)))
(+.f64 (*.f64 (/.f64 b a) (-.f64 -1 (/.f64 b a))) (+.f64 (/.f64 b a) 1))
(-.f64 1 (.f64 b (/.f64 b (.f64 a a))))
(+.f64 (/.f64 b a) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 -1 (/.f64 b a)))))
(+.f64 (/.f64 b a) (+.f64 (fma.f64 -1 (/.f64 (.f64 b b) (.f64 a a)) (/.f64 (neg.f64 b) a)) 1))
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a)))
(+.f64 (*.f64 (/.f64 b a) (-.f64 -1 (/.f64 b a))) (+.f64 (/.f64 b a) 1))
(-.f64 1 (.f64 b (/.f64 b (.f64 a a))))
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 (fma.f64 -1 (/.f64 (.f64 b b) (.f64 a a)) (/.f64 (neg.f64 b) a)) 1))
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a)))
(+.f64 (*.f64 (/.f64 b a) (-.f64 -1 (/.f64 b a))) (+.f64 (/.f64 b a) 1))
(-.f64 1 (.f64 b (/.f64 b (.f64 a a))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 (fma.f64 -1 (/.f64 (.f64 b b) (.f64 a a)) (/.f64 (neg.f64 b) a)) 1))
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a)))
(+.f64 (*.f64 (/.f64 b a) (-.f64 -1 (/.f64 b a))) (+.f64 (/.f64 b a) 1))
(-.f64 1 (.f64 b (/.f64 b (.f64 a a))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 (fma.f64 -1 (/.f64 (.f64 b b) (.f64 a a)) (/.f64 (neg.f64 b) a)) 1))
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a)))
(+.f64 (*.f64 (/.f64 b a) (-.f64 -1 (/.f64 b a))) (+.f64 (/.f64 b a) 1))
(-.f64 1 (.f64 b (/.f64 b (.f64 a a))))
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(neg.f64 (/.f64 (.f64 b b) (.f64 a a)))
(/.f64 (.f64 (neg.f64 b) b) (.f64 a a))
(/.f64 (.f64 b (neg.f64 b)) (.f64 a a))
(*.f64 (/.f64 b a) (/.f64 (neg.f64 b) a))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 (fma.f64 -1 (/.f64 (.f64 b b) (.f64 a a)) (/.f64 (neg.f64 b) a)) 1))
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a)))
(+.f64 (*.f64 (/.f64 b a) (-.f64 -1 (/.f64 b a))) (+.f64 (/.f64 b a) 1))
(-.f64 1 (.f64 b (/.f64 b (.f64 a a))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 (fma.f64 -1 (/.f64 (.f64 b b) (.f64 a a)) (/.f64 (neg.f64 b) a)) 1))
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a)))
(+.f64 (*.f64 (/.f64 b a) (-.f64 -1 (/.f64 b a))) (+.f64 (/.f64 b a) 1))
(-.f64 1 (.f64 b (/.f64 b (.f64 a a))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 (fma.f64 -1 (/.f64 (.f64 b b) (.f64 a a)) (/.f64 (neg.f64 b) a)) 1))
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a)))
(+.f64 (*.f64 (/.f64 b a) (-.f64 -1 (/.f64 b a))) (+.f64 (/.f64 b a) 1))
(-.f64 1 (.f64 b (/.f64 b (.f64 a a))))
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(neg.f64 (/.f64 (.f64 b b) (.f64 a a)))
(/.f64 (.f64 (neg.f64 b) b) (.f64 a a))
(/.f64 (.f64 b (neg.f64 b)) (.f64 a a))
(*.f64 (/.f64 b a) (/.f64 (neg.f64 b) a))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 (fma.f64 -1 (/.f64 (.f64 b b) (.f64 a a)) (/.f64 (neg.f64 b) a)) 1))
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a)))
(+.f64 (*.f64 (/.f64 b a) (-.f64 -1 (/.f64 b a))) (+.f64 (/.f64 b a) 1))
(-.f64 1 (.f64 b (/.f64 b (.f64 a a))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 (fma.f64 -1 (/.f64 (.f64 b b) (.f64 a a)) (/.f64 (neg.f64 b) a)) 1))
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a)))
(+.f64 (*.f64 (/.f64 b a) (-.f64 -1 (/.f64 b a))) (+.f64 (/.f64 b a) 1))
(-.f64 1 (.f64 b (/.f64 b (.f64 a a))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 (fma.f64 -1 (/.f64 (.f64 b b) (.f64 a a)) (/.f64 (neg.f64 b) a)) 1))
(+.f64 (/.f64 b a) (-.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))) (/.f64 b a)))
(+.f64 (*.f64 (/.f64 b a) (-.f64 -1 (/.f64 b a))) (+.f64 (/.f64 b a) 1))
(-.f64 1 (.f64 b (/.f64 b (.f64 a a))))
(/.f64 b a)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
1
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
1
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
1
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(/.f64 b a)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(/.f64 b a)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(+.f64 (/.f64 b a) 1)
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 1 (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) 1)
(-.f64 1 (/.f64 b a))
(+.f64 1 (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) 1)
(-.f64 1 (/.f64 b a))
(+.f64 1 (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) 1)
(-.f64 1 (/.f64 b a))
1
(+.f64 1 (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) 1)
(-.f64 1 (/.f64 b a))
(+.f64 1 (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) 1)
(-.f64 1 (/.f64 b a))
(+.f64 1 (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) 1)
(-.f64 1 (/.f64 b a))
1
(+.f64 1 (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) 1)
(-.f64 1 (/.f64 b a))
(+.f64 1 (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) 1)
(-.f64 1 (/.f64 b a))
(+.f64 1 (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) 1)
(-.f64 1 (/.f64 b a))
1
(+.f64 1 (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) 1)
(-.f64 1 (/.f64 b a))
(+.f64 1 (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) 1)
(-.f64 1 (/.f64 b a))
(+.f64 1 (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) 1)
(-.f64 1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 1 (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) 1)
(-.f64 1 (/.f64 b a))
(+.f64 1 (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) 1)
(-.f64 1 (/.f64 b a))
(+.f64 1 (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) 1)
(-.f64 1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 1 (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) 1)
(-.f64 1 (/.f64 b a))
(+.f64 1 (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) 1)
(-.f64 1 (/.f64 b a))
(+.f64 1 (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (neg.f64 b) a) 1)
(-.f64 1 (/.f64 b a))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (.f64 a a))))
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 a b) a) (/.f64 (+.f64 b a) a))))
(sqrt.f64 (fabs.f64 (/.f64 (+.f64 b a) (*.f64 (/.f64 a (-.f64 b a)) a))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (.f64 a a))))
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 a b) a) (/.f64 (+.f64 b a) a))))
(sqrt.f64 (fabs.f64 (/.f64 (+.f64 b a) (*.f64 (/.f64 a (-.f64 b a)) a))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (.f64 a a))))
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 a b) a) (/.f64 (+.f64 b a) a))))
(sqrt.f64 (fabs.f64 (/.f64 (+.f64 b a) (*.f64 (/.f64 a (-.f64 b a)) a))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (.f64 a a))))
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 a b) a) (/.f64 (+.f64 b a) a))))
(sqrt.f64 (fabs.f64 (/.f64 (+.f64 b a) (*.f64 (/.f64 a (-.f64 b a)) a))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (.f64 a a))))
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 a b) a) (/.f64 (+.f64 b a) a))))
(sqrt.f64 (fabs.f64 (/.f64 (+.f64 b a) (*.f64 (/.f64 a (-.f64 b a)) a))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (.f64 a a))))
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 a b) a) (/.f64 (+.f64 b a) a))))
(sqrt.f64 (fabs.f64 (/.f64 (+.f64 b a) (*.f64 (/.f64 a (-.f64 b a)) a))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (.f64 a a))))
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 a b) a) (/.f64 (+.f64 b a) a))))
(sqrt.f64 (fabs.f64 (/.f64 (+.f64 b a) (*.f64 (/.f64 a (-.f64 b a)) a))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (.f64 a a))))
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 a b) a) (/.f64 (+.f64 b a) a))))
(sqrt.f64 (fabs.f64 (/.f64 (+.f64 b a) (*.f64 (/.f64 a (-.f64 b a)) a))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (.f64 -1 (/.f64 (.f64 (-.f64 b (.f64 -1 a)) (+.f64 b (.f64 -1 a))) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (.f64 a a))))
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 a b) a) (/.f64 (+.f64 b a) a))))
(sqrt.f64 (fabs.f64 (/.f64 (+.f64 b a) (*.f64 (/.f64 a (-.f64 b a)) a))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (.f64 -1 (/.f64 (.f64 (-.f64 b (.f64 -1 a)) (+.f64 b (.f64 -1 a))) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (.f64 a a))))
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 a b) a) (/.f64 (+.f64 b a) a))))
(sqrt.f64 (fabs.f64 (/.f64 (+.f64 b a) (*.f64 (/.f64 a (-.f64 b a)) a))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (.f64 -1 (/.f64 (.f64 (-.f64 b (.f64 -1 a)) (+.f64 b (.f64 -1 a))) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (.f64 a a))))
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 a b) a) (/.f64 (+.f64 b a) a))))
(sqrt.f64 (fabs.f64 (/.f64 (+.f64 b a) (*.f64 (/.f64 a (-.f64 b a)) a))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (.f64 -1 (/.f64 (.f64 (-.f64 b (.f64 -1 a)) (+.f64 b (.f64 -1 a))) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (.f64 a a))))
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 a b) a) (/.f64 (+.f64 b a) a))))
(sqrt.f64 (fabs.f64 (/.f64 (+.f64 b a) (*.f64 (/.f64 a (-.f64 b a)) a))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (.f64 a a))))
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 a b) a) (/.f64 (+.f64 b a) a))))
(sqrt.f64 (fabs.f64 (/.f64 (+.f64 b a) (*.f64 (/.f64 a (-.f64 b a)) a))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (.f64 a a))))
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 a b) a) (/.f64 (+.f64 b a) a))))
(sqrt.f64 (fabs.f64 (/.f64 (+.f64 b a) (*.f64 (/.f64 a (-.f64 b a)) a))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (.f64 a a))))
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 a b) a) (/.f64 (+.f64 b a) a))))
(sqrt.f64 (fabs.f64 (/.f64 (+.f64 b a) (*.f64 (/.f64 a (-.f64 b a)) a))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (.f64 a a))))
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 a b) a) (/.f64 (+.f64 b a) a))))
(sqrt.f64 (fabs.f64 (/.f64 (+.f64 b a) (*.f64 (/.f64 a (-.f64 b a)) a))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (.f64 a a))))
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 a b) a) (/.f64 (+.f64 b a) a))))
(sqrt.f64 (fabs.f64 (/.f64 (+.f64 b a) (*.f64 (/.f64 a (-.f64 b a)) a))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (.f64 a a))))
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 a b) a) (/.f64 (+.f64 b a) a))))
(sqrt.f64 (fabs.f64 (/.f64 (+.f64 b a) (*.f64 (/.f64 a (-.f64 b a)) a))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (.f64 a a))))
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 a b) a) (/.f64 (+.f64 b a) a))))
(sqrt.f64 (fabs.f64 (/.f64 (+.f64 b a) (*.f64 (/.f64 a (-.f64 b a)) a))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (.f64 a a))))
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 a b) a) (/.f64 (+.f64 b a) a))))
(sqrt.f64 (fabs.f64 (/.f64 (+.f64 b a) (*.f64 (/.f64 a (-.f64 b a)) a))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a (.f64 -1 b)) (+.f64 a (*.f64 -1 b))) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (.f64 a a))))
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 a b) a) (/.f64 (+.f64 b a) a))))
(sqrt.f64 (fabs.f64 (/.f64 (+.f64 b a) (*.f64 (/.f64 a (-.f64 b a)) a))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a (.f64 -1 b)) (+.f64 a (*.f64 -1 b))) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (.f64 a a))))
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 a b) a) (/.f64 (+.f64 b a) a))))
(sqrt.f64 (fabs.f64 (/.f64 (+.f64 b a) (*.f64 (/.f64 a (-.f64 b a)) a))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a (.f64 -1 b)) (+.f64 a (*.f64 -1 b))) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (.f64 a a))))
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 a b) a) (/.f64 (+.f64 b a) a))))
(sqrt.f64 (fabs.f64 (/.f64 (+.f64 b a) (*.f64 (/.f64 a (-.f64 b a)) a))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a (.f64 -1 b)) (+.f64 a (*.f64 -1 b))) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (.f64 (-.f64 a b) (+.f64 b a)) (.f64 a a))))
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (-.f64 a b) a) (/.f64 (+.f64 b a) a))))
(sqrt.f64 (fabs.f64 (/.f64 (+.f64 b a) (*.f64 (/.f64 a (-.f64 b a)) a))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))

localize21.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
✓	0.0b	(/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
✓	0.0b	(/.f64 1 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
✓	0.4b	(pow.f64 (/.f64 b a) 2)

Compiler

Compiled 52 to 33 computations (36.5% saved)

series24.0ms (0.7%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	a	@	0	(sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
1.0ms	b	@	inf	(sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
1.0ms	b	@	inf	(/.f64 1 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
1.0ms	b	@	inf	(pow.f64 (/.f64 b a) 2)
1.0ms	b	@	-inf	(pow.f64 (/.f64 b a) 2)

rewrite87.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

498×	`log-prod_binary64`
280×	`pow-prod-down_binary64`
277×	`pow2_binary64`
199×	`prod-diff_binary64`
195×	`pow-to-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	53
1	243	45
2	3074	45

Stop Event

1×	node limit

Counts

4 → 197

Calls

Call 1

Inputs
(pow.f64 (/.f64 b a) 2)
(/.f64 1 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (/.f64 b a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 b a) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (hypot.f64 1 (/.f64 b a)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 b (.f64 (/.f64 1 a) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 b a) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 b a) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (/.f64 b a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 b b) (pow.f64 a -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 4) (pow.f64 (cbrt.f64 (/.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) (pow.f64 (cbrt.f64 (/.f64 b a)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 b a)) (pow.f64 (/.f64 b a) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 b a) 3/2) (sqrt.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 b a) b) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 5) (cbrt.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b (.f64 (/.f64 a b) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b (.f64 a (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b a) (/.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (/.f64 a b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 b b) (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 b) (.f64 (/.f64 a b) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (neg.f64 b) 2) (pow.f64 (neg.f64 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 b) b) (.f64 (neg.f64 a) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 b) 1) (.f64 (neg.f64 a) (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 b (neg.f64 b)) (.f64 a (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 b (/.f64 b a)) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 b) (/.f64 b a)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 b a) b) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 b a) (neg.f64 b)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 b a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 b a) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2 (log.f64 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (/.f64 b a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (/.f64 b a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 6 (log.f64 (/.f64 b a))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (/.f64 b a)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (.f64 2 (log.f64 (/.f64 b a))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (.f64 2 (log.f64 (/.f64 b a))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (hypot.f64 1 (/.f64 b a)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (/.f64 b a)) 2)) 2) (cbrt.f64 (pow.f64 (hypot.f64 1 (/.f64 b a)) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (/.f64 b a)) (hypot.f64 1 (/.f64 b a)) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/6) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> 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(2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/6) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/2))))) 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(pow.f64 (/.f64 b a) 2)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))) -1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (neg.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (neg.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (.f64 -1/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (.f64 -1/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) -1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))) 1) -1/2))))))

simplify140.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

833×	`associate-/r*_binary64`
750×	`associate-r_binary64`
743×	`fma-def_binary64`
703×	`associate-l_binary64`
648×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	177	2674
1	556	2568
2	2055	2416

Stop Event

1×	node limit

Counts

293 → 265

Calls

Call 1

Inputs
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
1
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(+.f64 1 (+.f64 (.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))))
(/.f64 (*.f64 (sqrt.f64 -1) b) a)
(+.f64 (.f64 1/2 (/.f64 a (.f64 (sqrt.f64 -1) b))) (/.f64 (*.f64 (sqrt.f64 -1) b) a))
(+.f64 (.f64 1/2 (/.f64 a (.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (.f64 (sqrt.f64 -1) b) a) (.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))))))
(+.f64 (.f64 1/2 (/.f64 a (.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (.f64 (sqrt.f64 -1) b) a) (+.f64 (.f64 1/16 (/.f64 (pow.f64 a 5) (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))))))
(.f64 -1 (/.f64 (.f64 (sqrt.f64 -1) b) a))
(+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 -1) b) a)) (.f64 -1/2 (/.f64 a (.f64 (sqrt.f64 -1) b))))
(+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 -1) b) a)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 a 3) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (.f64 -1/2 (/.f64 a (.f64 (sqrt.f64 -1) b)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (sqrt.f64 -1) b) a)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 a 3) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 a 5) (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (.f64 -1/2 (/.f64 a (.f64 (sqrt.f64 -1) b))))))
(/.f64 (*.f64 (sqrt.f64 -1) b) a)
(+.f64 (.f64 1/2 (/.f64 a (.f64 (sqrt.f64 -1) b))) (/.f64 (*.f64 (sqrt.f64 -1) b) a))
(+.f64 (.f64 1/2 (/.f64 a (.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (.f64 (sqrt.f64 -1) b) a) (.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))))))
(+.f64 (.f64 1/2 (/.f64 a (.f64 (sqrt.f64 -1) b))) (+.f64 (/.f64 (.f64 (sqrt.f64 -1) b) a) (+.f64 (.f64 1/16 (/.f64 (pow.f64 a 5) (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (.f64 -1/8 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))))))
1
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(+.f64 1 (+.f64 (.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))))
1
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(+.f64 1 (+.f64 (.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 6))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))))
1
(+.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 1 (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 (pow.f64 b 6) (pow.f64 a 6)))))
(*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (*.f64 -1 (/.f64 (pow.f64 a 6) (pow.f64 b 6)))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 a 8) (pow.f64 b 8))) (+.f64 (.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (.f64 -1 (/.f64 (pow.f64 a 6) (pow.f64 b 6))))))
(*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (*.f64 -1 (/.f64 (pow.f64 a 6) (pow.f64 b 6)))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 a 8) (pow.f64 b 8))) (+.f64 (.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (.f64 -1 (/.f64 (pow.f64 a 6) (pow.f64 b 6))))))
(*.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (*.f64 -1 (/.f64 (pow.f64 a 6) (pow.f64 b 6)))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 a 8) (pow.f64 b 8))) (+.f64 (.f64 -1 (/.f64 (pow.f64 a 4) (pow.f64 b 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 2))) (.f64 -1 (/.f64 (pow.f64 a 6) (pow.f64 b 6))))))
1
(+.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 1 (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 (pow.f64 b 6) (pow.f64 a 6)))))
1
(+.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 1 (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) (/.f64 (pow.f64 b 6) (pow.f64 a 6)))))
1
(+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (.f64 1/2 (*.f64 (-.f64 (/.f64 1 (pow.f64 a 4)) (pow.f64 (/.f64 1/2 (pow.f64 a 2)) 2)) (pow.f64 b 4)))))
(+.f64 1 (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))) (+.f64 (.f64 1/2 (.f64 (-.f64 (/.f64 1 (pow.f64 a 6)) (.f64 1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 a 4)) (pow.f64 (/.f64 1/2 (pow.f64 a 2)) 2)) (pow.f64 a 2)))) (pow.f64 b 6))) (.f64 1/2 (.f64 (-.f64 (/.f64 1 (pow.f64 a 4)) (pow.f64 (/.f64 1/2 (pow.f64 a 2)) 2)) (pow.f64 b 4))))))
(/.f64 (*.f64 (sqrt.f64 -1) a) b)
(+.f64 (/.f64 (.f64 (sqrt.f64 -1) a) b) (.f64 -1/2 (/.f64 (pow.f64 a 3) (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))))
(+.f64 (/.f64 (.f64 (sqrt.f64 -1) a) b) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 a 3) (.f64 (sqrt.f64 -1) (pow.f64 b 3)))) (.f64 -1/2 (/.f64 (+.f64 (pow.f64 a 6) (pow.f64 (.f64 -1/2 (/.f64 (pow.f64 a 3) (sqrt.f64 -1))) 2)) (.f64 (sqrt.f64 -1) (*.f64 a (pow.f64 b 5)))))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a 2) (+.f64 (pow.f64 a 6) (pow.f64 (.f64 -1/2 (/.f64 (pow.f64 a 3) (sqrt.f64 -1))) 2))) (pow.f64 (sqrt.f64 -1) 2))) (pow.f64 a 8)) (.f64 (sqrt.f64 -1) (.f64 a (pow.f64 b 7))))) (+.f64 (/.f64 (.f64 (sqrt.f64 -1) a) b) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 a 3) (.f64 (sqrt.f64 -1) (pow.f64 b 3)))) (.f64 -1/2 (/.f64 (+.f64 (pow.f64 a 6) (pow.f64 (.f64 -1/2 (/.f64 (pow.f64 a 3) (sqrt.f64 -1))) 2)) (.f64 (sqrt.f64 -1) (*.f64 a (pow.f64 b 5))))))))
(.f64 -1 (/.f64 (.f64 (sqrt.f64 -1) a) b))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 a 3) (.f64 (sqrt.f64 -1) (pow.f64 b 3)))) (.f64 -1 (/.f64 (.f64 (sqrt.f64 -1) a) b)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 a 3) (.f64 (sqrt.f64 -1) (pow.f64 b 3)))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 a 6) (pow.f64 (.f64 -1/2 (/.f64 (pow.f64 a 3) (sqrt.f64 -1))) 2)) (.f64 (sqrt.f64 -1) (.f64 a (pow.f64 b 5))))) (.f64 -1 (/.f64 (.f64 (sqrt.f64 -1) a) b))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a 2) (+.f64 (pow.f64 a 6) (pow.f64 (.f64 -1/2 (/.f64 (pow.f64 a 3) (sqrt.f64 -1))) 2))) (pow.f64 (sqrt.f64 -1) 2))) (pow.f64 a 8)) (.f64 (sqrt.f64 -1) (.f64 a (pow.f64 b 7))))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 3) (.f64 (sqrt.f64 -1) (pow.f64 b 3)))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 a 6) (pow.f64 (.f64 -1/2 (/.f64 (pow.f64 a 3) (sqrt.f64 -1))) 2)) (.f64 (sqrt.f64 -1) (.f64 a (pow.f64 b 5))))) (.f64 -1 (/.f64 (.f64 (sqrt.f64 -1) a) b)))))
(/.f64 (*.f64 (sqrt.f64 -1) a) b)
(+.f64 (/.f64 (.f64 (sqrt.f64 -1) a) b) (.f64 -1/2 (/.f64 (pow.f64 a 3) (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 (/.f64 -1/2 (.f64 (sqrt.f64 -1) (pow.f64 b 3))) 2) (/.f64 1 (pow.f64 b 6))) (.f64 (pow.f64 a 5) b)) (sqrt.f64 -1))) (+.f64 (/.f64 (.f64 (sqrt.f64 -1) a) b) (.f64 -1/2 (/.f64 (pow.f64 a 3) (*.f64 (sqrt.f64 -1) (pow.f64 b 3))))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 (/.f64 -1/2 (.f64 (sqrt.f64 -1) (pow.f64 b 3))) 2) (/.f64 1 (pow.f64 b 6))) (.f64 (pow.f64 a 5) b)) (sqrt.f64 -1))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (pow.f64 b 8)) (.f64 1/2 (/.f64 (+.f64 (pow.f64 (/.f64 -1/2 (.f64 (sqrt.f64 -1) (pow.f64 b 3))) 2) (/.f64 1 (pow.f64 b 6))) (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 b 2))))) (.f64 (pow.f64 a 7) b)) (sqrt.f64 -1))) (+.f64 (/.f64 (.f64 (sqrt.f64 -1) a) b) (.f64 -1/2 (/.f64 (pow.f64 a 3) (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))))))
1
(+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 b 4)) (pow.f64 (.f64 1/2 (pow.f64 b 2)) 2)) (pow.f64 a 4))) (+.f64 1 (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 b 2) (+.f64 (.f64 -1 (pow.f64 b 4)) (pow.f64 (.f64 1/2 (pow.f64 b 2)) 2)))) (.f64 -1 (pow.f64 b 6))) (pow.f64 a 6))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 b 4)) (pow.f64 (.f64 1/2 (pow.f64 b 2)) 2)) (pow.f64 a 4))) (+.f64 1 (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))))
1
(+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 b 4)) (pow.f64 (.f64 1/2 (pow.f64 b 2)) 2)) (pow.f64 a 4))) (+.f64 1 (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 b 2) (+.f64 (.f64 -1 (pow.f64 b 4)) (pow.f64 (.f64 1/2 (pow.f64 b 2)) 2)))) (.f64 -1 (pow.f64 b 6))) (pow.f64 a 6))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 b 4)) (pow.f64 (.f64 1/2 (pow.f64 b 2)) 2)) (pow.f64 a 4))) (+.f64 1 (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))))

Outputs
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
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(-.f64 (.f64 1/2 (+.f64 (/.f64 (pow.f64 a 3) (.f64 (sqrt.f64 -1) (pow.f64 b 3))) (/.f64 (+.f64 (pow.f64 a 6) (pow.f64 (.f64 -1/2 (/.f64 (pow.f64 a 3) (sqrt.f64 -1))) 2)) (.f64 a (.f64 (sqrt.f64 -1) (pow.f64 b 5)))))) (.f64 (/.f64 (sqrt.f64 -1) b) a))
(-.f64 (.f64 (/.f64 1/2 (sqrt.f64 -1)) (+.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (/.f64 (+.f64 (pow.f64 a 6) (pow.f64 (.f64 (/.f64 -1/2 (sqrt.f64 -1)) (pow.f64 a 3)) 2)) (.f64 a (pow.f64 b 5))))) (.f64 (/.f64 a b) (sqrt.f64 -1)))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 a 2) (+.f64 (pow.f64 a 6) (pow.f64 (.f64 -1/2 (/.f64 (pow.f64 a 3) (sqrt.f64 -1))) 2))) (pow.f64 (sqrt.f64 -1) 2))) (pow.f64 a 8)) (.f64 (sqrt.f64 -1) (.f64 a (pow.f64 b 7))))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 3) (.f64 (sqrt.f64 -1) (pow.f64 b 3)))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 a 6) (pow.f64 (.f64 -1/2 (/.f64 (pow.f64 a 3) (sqrt.f64 -1))) 2)) (.f64 (sqrt.f64 -1) (.f64 a (pow.f64 b 5))))) (.f64 -1 (/.f64 (.f64 (sqrt.f64 -1) a) b)))))
(fma.f64 1/2 (/.f64 (fma.f64 1/2 (/.f64 (.f64 a a) (/.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (pow.f64 a 6) (pow.f64 (.f64 -1/2 (/.f64 (pow.f64 a 3) (sqrt.f64 -1))) 2)))) (pow.f64 a 8)) (.f64 (sqrt.f64 -1) (.f64 a (pow.f64 b 7)))) (fma.f64 1/2 (/.f64 (pow.f64 a 3) (.f64 (sqrt.f64 -1) (pow.f64 b 3))) (fma.f64 1/2 (/.f64 (+.f64 (pow.f64 a 6) (pow.f64 (.f64 -1/2 (/.f64 (pow.f64 a 3) (sqrt.f64 -1))) 2)) (.f64 (sqrt.f64 -1) (.f64 a (pow.f64 b 5)))) (neg.f64 (/.f64 (sqrt.f64 -1) (/.f64 b a))))))
(fma.f64 1/2 (/.f64 (fma.f64 1/2 (.f64 (/.f64 (.f64 a a) -1) (+.f64 (pow.f64 a 6) (pow.f64 (.f64 -1/2 (/.f64 (pow.f64 a 3) (sqrt.f64 -1))) 2))) (pow.f64 a 8)) (.f64 (.f64 a (sqrt.f64 -1)) (pow.f64 b 7))) (-.f64 (.f64 1/2 (+.f64 (/.f64 (pow.f64 a 3) (.f64 (sqrt.f64 -1) (pow.f64 b 3))) (/.f64 (+.f64 (pow.f64 a 6) (pow.f64 (.f64 -1/2 (/.f64 (pow.f64 a 3) (sqrt.f64 -1))) 2)) (.f64 a (.f64 (sqrt.f64 -1) (pow.f64 b 5)))))) (*.f64 (/.f64 (sqrt.f64 -1) b) a)))
(-.f64 (fma.f64 (/.f64 1/2 (sqrt.f64 -1)) (/.f64 (+.f64 (pow.f64 a 8) (.f64 -1/2 (fma.f64 (.f64 a a) (pow.f64 (.f64 (/.f64 -1/2 (sqrt.f64 -1)) (pow.f64 a 3)) 2) (pow.f64 a 8)))) (.f64 a (pow.f64 b 7))) (.f64 (/.f64 1/2 (sqrt.f64 -1)) (+.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 3)) (/.f64 (+.f64 (pow.f64 a 6) (pow.f64 (.f64 (/.f64 -1/2 (sqrt.f64 -1)) (pow.f64 a 3)) 2)) (.f64 a (pow.f64 b 5)))))) (.f64 (/.f64 a b) (sqrt.f64 -1)))
(/.f64 (*.f64 (sqrt.f64 -1) a) b)
(/.f64 (sqrt.f64 -1) (/.f64 b a))
(*.f64 (/.f64 (sqrt.f64 -1) b) a)
(*.f64 (/.f64 a b) (sqrt.f64 -1))
(+.f64 (/.f64 (.f64 (sqrt.f64 -1) a) b) (.f64 -1/2 (/.f64 (pow.f64 a 3) (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))))
(+.f64 (/.f64 (sqrt.f64 -1) (/.f64 b a)) (.f64 -1/2 (/.f64 (pow.f64 a 3) (.f64 (sqrt.f64 -1) (pow.f64 b 3)))))
(fma.f64 -1/2 (/.f64 (pow.f64 a 3) (.f64 (sqrt.f64 -1) (pow.f64 b 3))) (.f64 (/.f64 (sqrt.f64 -1) b) a))
(fma.f64 -1/2 (/.f64 (/.f64 (pow.f64 a 3) (sqrt.f64 -1)) (pow.f64 b 3)) (*.f64 (/.f64 a b) (sqrt.f64 -1)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 (/.f64 -1/2 (.f64 (sqrt.f64 -1) (pow.f64 b 3))) 2) (/.f64 1 (pow.f64 b 6))) (.f64 (pow.f64 a 5) b)) (sqrt.f64 -1))) (+.f64 (/.f64 (.f64 (sqrt.f64 -1) a) b) (.f64 -1/2 (/.f64 (pow.f64 a 3) (*.f64 (sqrt.f64 -1) (pow.f64 b 3))))))
(fma.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 -1/2 (.f64 (sqrt.f64 -1) (pow.f64 b 3))) 2) (/.f64 1 (pow.f64 b 6))) (/.f64 (sqrt.f64 -1) (.f64 b (pow.f64 a 5)))) (+.f64 (/.f64 (sqrt.f64 -1) (/.f64 b a)) (.f64 -1/2 (/.f64 (pow.f64 a 3) (.f64 (sqrt.f64 -1) (pow.f64 b 3))))))
(fma.f64 -1/2 (.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) (pow.f64 b 3)) 2) (/.f64 1 (pow.f64 b 6))) (sqrt.f64 -1)) (.f64 b (pow.f64 a 5))) (fma.f64 -1/2 (/.f64 (pow.f64 a 3) (.f64 (sqrt.f64 -1) (pow.f64 b 3))) (.f64 (/.f64 (sqrt.f64 -1) b) a)))
(fma.f64 (/.f64 (sqrt.f64 -1) b) a (.f64 -1/2 (+.f64 (/.f64 (/.f64 (pow.f64 a 3) (sqrt.f64 -1)) (pow.f64 b 3)) (.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) (pow.f64 b 3)) 2) (/.f64 1 (pow.f64 b 6))) (sqrt.f64 -1)) (*.f64 b (pow.f64 a 5))))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 (/.f64 -1/2 (.f64 (sqrt.f64 -1) (pow.f64 b 3))) 2) (/.f64 1 (pow.f64 b 6))) (.f64 (pow.f64 a 5) b)) (sqrt.f64 -1))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (/.f64 1 (pow.f64 b 8)) (.f64 1/2 (/.f64 (+.f64 (pow.f64 (/.f64 -1/2 (.f64 (sqrt.f64 -1) (pow.f64 b 3))) 2) (/.f64 1 (pow.f64 b 6))) (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 b 2))))) (.f64 (pow.f64 a 7) b)) (sqrt.f64 -1))) (+.f64 (/.f64 (.f64 (sqrt.f64 -1) a) b) (.f64 -1/2 (/.f64 (pow.f64 a 3) (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))))))
(fma.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 -1/2 (.f64 (sqrt.f64 -1) (pow.f64 b 3))) 2) (/.f64 1 (pow.f64 b 6))) (/.f64 (sqrt.f64 -1) (.f64 b (pow.f64 a 5)))) (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 b 8)) (.f64 1/2 (/.f64 (+.f64 (pow.f64 (/.f64 -1/2 (.f64 (sqrt.f64 -1) (pow.f64 b 3))) 2) (/.f64 1 (pow.f64 b 6))) (.f64 (.f64 b b) (pow.f64 (sqrt.f64 -1) 2))))) (/.f64 (sqrt.f64 -1) (.f64 b (pow.f64 a 7)))) (+.f64 (/.f64 (sqrt.f64 -1) (/.f64 b a)) (.f64 -1/2 (/.f64 (pow.f64 a 3) (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))))))
(fma.f64 -1/2 (.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) (pow.f64 b 3)) 2) (/.f64 1 (pow.f64 b 6))) (sqrt.f64 -1)) (.f64 b (pow.f64 a 5))) (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 b 8)) (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) (pow.f64 b 3)) 2) (/.f64 1 (pow.f64 b 6))) (.f64 b b)))) (/.f64 (/.f64 (sqrt.f64 -1) b) (pow.f64 a 7))) (fma.f64 -1/2 (/.f64 (pow.f64 a 3) (.f64 (sqrt.f64 -1) (pow.f64 b 3))) (.f64 (/.f64 (sqrt.f64 -1) b) a))))
(fma.f64 -1/2 (fma.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) (pow.f64 b 3)) 2) (/.f64 1 (pow.f64 b 6))) (sqrt.f64 -1)) (.f64 b (pow.f64 a 5)) (.f64 (/.f64 (fma.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) (pow.f64 b 3)) 2) (/.f64 1 (pow.f64 b 6))) (.f64 b b)) (/.f64 1 (pow.f64 b 8))) (sqrt.f64 -1)) (.f64 b (pow.f64 a 7)))) (fma.f64 -1/2 (/.f64 (/.f64 (pow.f64 a 3) (sqrt.f64 -1)) (pow.f64 b 3)) (*.f64 (/.f64 a b) (sqrt.f64 -1))))
1
(+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (.f64 (/.f64 (.f64 b b) (*.f64 a a)) 1/2))
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) 1/2 1)
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 b 4)) (pow.f64 (.f64 1/2 (pow.f64 b 2)) 2)) (pow.f64 a 4))) (+.f64 1 (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(fma.f64 -1/2 (/.f64 (fma.f64 -1 (pow.f64 b 4) (pow.f64 (.f64 (.f64 b b) 1/2) 2)) (pow.f64 a 4)) (+.f64 1 (.f64 (/.f64 (.f64 b b) (*.f64 a a)) 1/2)))
(fma.f64 -1/2 (/.f64 (-.f64 (.f64 (pow.f64 b 4) 1/4) (pow.f64 b 4)) (pow.f64 a 4)) (fma.f64 (.f64 (/.f64 b a) (/.f64 b a)) 1/2 1))
(fma.f64 (.f64 (/.f64 b a) (/.f64 b a)) 1/2 (fma.f64 -1/2 (/.f64 (.f64 (pow.f64 b 4) -3/4) (pow.f64 a 4)) 1))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 b 2) (+.f64 (.f64 -1 (pow.f64 b 4)) (pow.f64 (.f64 1/2 (pow.f64 b 2)) 2)))) (.f64 -1 (pow.f64 b 6))) (pow.f64 a 6))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 b 4)) (pow.f64 (.f64 1/2 (pow.f64 b 2)) 2)) (pow.f64 a 4))) (+.f64 1 (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))))
(fma.f64 -1/2 (/.f64 (fma.f64 -1/2 (.f64 (.f64 b b) (fma.f64 -1 (pow.f64 b 4) (pow.f64 (.f64 (.f64 b b) 1/2) 2))) (neg.f64 (pow.f64 b 6))) (pow.f64 a 6)) (fma.f64 -1/2 (/.f64 (fma.f64 -1 (pow.f64 b 4) (pow.f64 (.f64 (.f64 b b) 1/2) 2)) (pow.f64 a 4)) (+.f64 1 (.f64 (/.f64 (.f64 b b) (*.f64 a a)) 1/2))))
(fma.f64 -1/2 (/.f64 (-.f64 (.f64 (-.f64 (.f64 (pow.f64 b 4) 1/4) (pow.f64 b 4)) (.f64 (.f64 b b) -1/2)) (pow.f64 b 6)) (pow.f64 a 6)) (fma.f64 -1/2 (/.f64 (-.f64 (.f64 (pow.f64 b 4) 1/4) (pow.f64 b 4)) (pow.f64 a 4)) (fma.f64 (.f64 (/.f64 b a) (/.f64 b a)) 1/2 1)))
(fma.f64 -1/2 (+.f64 (/.f64 (-.f64 (.f64 -1/2 (-.f64 (.f64 (pow.f64 b 6) 1/4) (pow.f64 b 6))) (pow.f64 b 6)) (pow.f64 a 6)) (/.f64 (.f64 (pow.f64 b 4) -3/4) (pow.f64 a 4))) (fma.f64 (.f64 (/.f64 b a) (/.f64 b a)) 1/2 1))
1
(+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (.f64 (/.f64 (.f64 b b) (*.f64 a a)) 1/2))
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) 1/2 1)
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 b 4)) (pow.f64 (.f64 1/2 (pow.f64 b 2)) 2)) (pow.f64 a 4))) (+.f64 1 (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(fma.f64 -1/2 (/.f64 (fma.f64 -1 (pow.f64 b 4) (pow.f64 (.f64 (.f64 b b) 1/2) 2)) (pow.f64 a 4)) (+.f64 1 (.f64 (/.f64 (.f64 b b) (*.f64 a a)) 1/2)))
(fma.f64 -1/2 (/.f64 (-.f64 (.f64 (pow.f64 b 4) 1/4) (pow.f64 b 4)) (pow.f64 a 4)) (fma.f64 (.f64 (/.f64 b a) (/.f64 b a)) 1/2 1))
(fma.f64 (.f64 (/.f64 b a) (/.f64 b a)) 1/2 (fma.f64 -1/2 (/.f64 (.f64 (pow.f64 b 4) -3/4) (pow.f64 a 4)) 1))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 b 2) (+.f64 (.f64 -1 (pow.f64 b 4)) (pow.f64 (.f64 1/2 (pow.f64 b 2)) 2)))) (.f64 -1 (pow.f64 b 6))) (pow.f64 a 6))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 b 4)) (pow.f64 (.f64 1/2 (pow.f64 b 2)) 2)) (pow.f64 a 4))) (+.f64 1 (.f64 1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))))
(fma.f64 -1/2 (/.f64 (fma.f64 -1/2 (.f64 (.f64 b b) (fma.f64 -1 (pow.f64 b 4) (pow.f64 (.f64 (.f64 b b) 1/2) 2))) (neg.f64 (pow.f64 b 6))) (pow.f64 a 6)) (fma.f64 -1/2 (/.f64 (fma.f64 -1 (pow.f64 b 4) (pow.f64 (.f64 (.f64 b b) 1/2) 2)) (pow.f64 a 4)) (+.f64 1 (.f64 (/.f64 (.f64 b b) (*.f64 a a)) 1/2))))
(fma.f64 -1/2 (/.f64 (-.f64 (.f64 (-.f64 (.f64 (pow.f64 b 4) 1/4) (pow.f64 b 4)) (.f64 (.f64 b b) -1/2)) (pow.f64 b 6)) (pow.f64 a 6)) (fma.f64 -1/2 (/.f64 (-.f64 (.f64 (pow.f64 b 4) 1/4) (pow.f64 b 4)) (pow.f64 a 4)) (fma.f64 (.f64 (/.f64 b a) (/.f64 b a)) 1/2 1)))
(fma.f64 -1/2 (+.f64 (/.f64 (-.f64 (.f64 -1/2 (-.f64 (.f64 (pow.f64 b 6) 1/4) (pow.f64 b 6))) (pow.f64 b 6)) (pow.f64 a 6)) (/.f64 (.f64 (pow.f64 b 4) -3/4) (pow.f64 a 4))) (fma.f64 (.f64 (/.f64 b a) (/.f64 b a)) 1/2 1))

localize13.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/2)
	0.4b	(pow.f64 (/.f64 b a) 2)

Compiler

Compiled 31 to 18 computations (41.9% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	b	@	0	(pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/2)
0.0ms	b	@	inf	(pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/2)
0.0ms	b	@	-inf	(pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/2)
0.0ms	a	@	inf	(pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/2)
0.0ms	a	@	0	(pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/2)

rewrite62.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

974×	`pow1_binary64`
908×	`add-log-exp_binary64`
907×	`log1p-expm1-u_binary64`
907×	`expm1-log1p-u_binary64`
102×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	218	12
2	2523	12

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

Inputs
(pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4) (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 2))) (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 2)) 1/2) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 4))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 6))) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 b a) 2) (pow.f64 (/.f64 b a) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))))))))

simplify69.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

829×	`times-frac_binary64`
600×	`cancel-sign-sub-inv_binary64`
501×	`fma-neg_binary64`
411×	`distribute-neg-frac_binary64`
324×	`associate-/l*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	66	688
1	192	675
2	641	641
3	4262	623
4	5850	596

Stop Event

1×	node limit

Counts

43 → 42

Calls

Call 1

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

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

eval304.0ms (8.5%)

Compiler: Compiled 9566 to 5831 computations (39% saved)

prune87.0ms (2.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	536	4	540
Fresh	0	0	0
Picked	1	0	1
Done	3	0	3
Total	540	4	544

Error

Counts

544 → 4

Alt Table

Click to see full alt table

Status	Error	Program
	1.2b	1
▶	0.0b	(pow.f64 (/.f64 (+.f64 a b) (*.f64 a (/.f64 a (-.f64 a b)))) 1/2)
▶	0.4b	(fma.f64 (/.f64 -1/2 a) (/.f64 b (/.f64 a b)) 1)
▶	0.0b	(pow.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))) 1/2)

Compiler

Compiled 43 to 29 computations (32.6% saved)

localize13.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))) 1/2)
✓	0.2b	(/.f64 (/.f64 b a) (/.f64 a b))

Compiler

Compiled 39 to 13 computations (66.7% saved)

series6.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	b	@	0	(/.f64 (/.f64 b a) (/.f64 a b))
1.0ms	b	@	inf	(/.f64 (/.f64 b a) (/.f64 a b))
1.0ms	a	@	0	(/.f64 (/.f64 b a) (/.f64 a b))
1.0ms	b	@	inf	(pow.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))) 1/2)
0.0ms	a	@	inf	(/.f64 (/.f64 b a) (/.f64 a b))

rewrite68.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

549×	`log-prod_binary64`
540×	`prod-diff_binary64`
306×	`pow-prod-down_binary64`
272×	`pow2_binary64`
212×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	226	19
2	3066	19

Stop Event

1×	node limit

Counts

2 → 82

Calls

Call 1

Inputs
(/.f64 (/.f64 b a) (/.f64 a b))
(pow.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))) 1/2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (/.f64 b a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 b a) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 (/.f64 b a) 2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (/.f64 b (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b a) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 b a) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 b a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b b) (pow.f64 (*.f64 a a) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) (pow.f64 (cbrt.f64 (/.f64 b a)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) (/.f64 (/.f64 b a) (cbrt.f64 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 4) (pow.f64 (cbrt.f64 (/.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b a)) (pow.f64 (/.f64 a b) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b a)) (pow.f64 (sqrt.f64 (/.f64 b a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 b) a) (/.f64 1 (/.f64 (neg.f64 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (/.f64 (/.f64 b a) (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (*.f64 a a)) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 b a) b) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 b b)) (/.f64 a b)) (/.f64 (cbrt.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (/.f64 a b)) (/.f64 (sqrt.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) a) (/.f64 (cbrt.f64 (/.f64 b a)) (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 b a)) a) (/.f64 (sqrt.f64 (/.f64 b a)) (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b 1) (/.f64 (/.f64 1 a) (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) 1) (/.f64 (cbrt.f64 (/.f64 b a)) (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 b a)) 1) (pow.f64 (/.f64 b a) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (cbrt.f64 (pow.f64 (/.f64 b a) -2))) (/.f64 (/.f64 1 a) (cbrt.f64 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) (cbrt.f64 (pow.f64 (/.f64 b a) -2))) (pow.f64 (cbrt.f64 (/.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 b a)) (cbrt.f64 (pow.f64 (/.f64 b a) -2))) (/.f64 (sqrt.f64 (/.f64 b a)) (cbrt.f64 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (sqrt.f64 (/.f64 a b))) (/.f64 (/.f64 1 a) (sqrt.f64 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) (sqrt.f64 (/.f64 a b))) (/.f64 (cbrt.f64 (/.f64 b a)) (sqrt.f64 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 b a) 1) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 b a) (neg.f64 a)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 b a)) 3) (sqrt.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 b a) (pow.f64 (cbrt.f64 (/.f64 b a)) 2)) (cbrt.f64 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 b (*.f64 a a)) 1) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 b (*.f64 a a)) (cbrt.f64 (*.f64 b b))) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 b (*.f64 a a)) (sqrt.f64 b)) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b a) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a b) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b a) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b a) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b a) 3) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 b a)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 b a)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b a) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b a) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 b a) -2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 b a) (/.f64 (neg.f64 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 b a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 b a) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 b a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (pow.f64 (/.f64 b a) 2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 b a) 2) 1)) 2) (cbrt.f64 (+.f64 (pow.f64 (/.f64 b a) 2) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (/.f64 b a)) (hypot.f64 1 (/.f64 b a)) -1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/6) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4) (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 4))) (hypot.f64 1 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 6))) (hypot.f64 1 (hypot.f64 (/.f64 b a) (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 (sqrt.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) 1))))))

simplify70.0ms (2%)

Algorithm

1×	egg-herbie

Rules

829×	`times-frac_binary64`
600×	`cancel-sign-sub-inv_binary64`
501×	`fma-neg_binary64`
413×	`distribute-neg-frac_binary64`
323×	`associate-/l*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	66	928
1	192	915
2	641	881
3	4258	863
4	5846	836

Stop Event

1×	node limit

Counts

130 → 106

Calls

Call 1

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

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

localize17.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (/.f64 (+.f64 a b) (*.f64 a (/.f64 a (-.f64 a b)))) 1/2)
✓	0.0b	(/.f64 a (-.f64 a b))
✓	0.0b	(/.f64 (+.f64 a b) (*.f64 a (/.f64 a (-.f64 a b))))
✓	0.0b	(*.f64 a (/.f64 a (-.f64 a b)))

Compiler

Compiled 47 to 10 computations (78.7% saved)

series12.0ms (0.3%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	b	@	0	(/.f64 a (-.f64 a b))
1.0ms	a	@	0	(pow.f64 (/.f64 (+.f64 a b) (*.f64 a (/.f64 a (-.f64 a b)))) 1/2)
1.0ms	a	@	inf	(pow.f64 (/.f64 (+.f64 a b) (*.f64 a (/.f64 a (-.f64 a b)))) 1/2)
1.0ms	a	@	-inf	(pow.f64 (/.f64 (+.f64 a b) (*.f64 a (/.f64 a (-.f64 a b)))) 1/2)
1.0ms	a	@	0	(*.f64 a (/.f64 a (-.f64 a b)))

rewrite94.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

640×	`log-prod_binary64`
579×	`prod-diff_binary64`
268×	`fma-def_binary64`
223×	`log-div_binary64`
216×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	51
1	236	50
2	3508	50

Stop Event

1×	node limit

Counts

4 → 151

Calls

Call 1

Inputs
(*.f64 a (/.f64 a (-.f64 a b)))
(/.f64 (+.f64 a b) (*.f64 a (/.f64 a (-.f64 a b))))
(/.f64 a (-.f64 a b))
(pow.f64 (/.f64 (+.f64 a b) (*.f64 a (/.f64 a (-.f64 a b)))) 1/2)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (.f64 a a) (-.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (/.f64 a (-.f64 a b)))) (cbrt.f64 (pow.f64 (exp.f64 a) (/.f64 a (-.f64 a b)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (/.f64 a (-.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (/.f64 a (-.f64 a b))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (/.f64 a (-.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (.f64 a a) (-.f64 a b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a (/.f64 (-.f64 a b) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 a b) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 a a) (-.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 a a)) (neg.f64 (-.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 a) a) (neg.f64 (-.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 a (neg.f64 a)) (neg.f64 (-.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 a a) 1) (-.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 a a) (pow.f64 (cbrt.f64 (-.f64 a b)) 2)) (cbrt.f64 (-.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 a a) (sqrt.f64 (-.f64 a b))) (sqrt.f64 (-.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 a a) (-.f64 a b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (.f64 a a) (-.f64 a b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (.f64 a a) (-.f64 a b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (sqrt.f64 (-.f64 a b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 a 3) (pow.f64 (/.f64 a (-.f64 a b)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (/.f64 a (-.f64 a b)) 3) (pow.f64 a 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 a b) (.f64 a a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (.f64 a a) (-.f64 a b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (/.f64 a (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (.f64 a a) (-.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (.f64 a a) (-.f64 a b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 a 3) (pow.f64 (/.f64 a (-.f64 a b)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (/.f64 a (-.f64 a b)) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (.f64 a a) (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (.f64 a a) (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (.f64 a a) (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (*.f64 a a) (-.f64 a b))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (/.f64 (+.f64 a b) (.f64 a a)) (-.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 (+.f64 a b) (.f64 a a)) (-.f64 a b)))) (cbrt.f64 (exp.f64 (.f64 (/.f64 (+.f64 a b) (.f64 a a)) (-.f64 a b)))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 (+.f64 a b) (.f64 a a)) (-.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 (+.f64 a b) (.f64 a a)) (-.f64 a b))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 (+.f64 a b) (.f64 a a)) (-.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 (+.f64 a b) (.f64 a a)) (-.f64 a b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 a b) (/.f64 (/.f64 (-.f64 a b) a) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (+.f64 a b) (.f64 a a)) (-.f64 a b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 a b)) (/.f64 a (sqrt.f64 (-.f64 a b)))) (/.f64 (sqrt.f64 (+.f64 a b)) (/.f64 a (sqrt.f64 (-.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (/.f64 (+.f64 a b) (.f64 a a)) (-.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (/.f64 (+.f64 a b) (.f64 a a)) (-.f64 a b))) (cbrt.f64 (pow.f64 (.f64 (/.f64 (+.f64 a b) (.f64 a a)) (-.f64 a b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (/.f64 (+.f64 a b) (.f64 a a)) (-.f64 a b))) (.f64 (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 a b)) (/.f64 a (sqrt.f64 (-.f64 a b))))) (/.f64 (sqrt.f64 (+.f64 a b)) (/.f64 a (sqrt.f64 (-.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 (+.f64 a b) (.f64 a a)) (-.f64 a b)) 2)) (cbrt.f64 (.f64 (/.f64 (+.f64 a b) (.f64 a a)) (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 a b)) 2) (.f64 (cbrt.f64 (+.f64 a b)) (/.f64 (/.f64 (-.f64 a b) a) a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 a b)) (.f64 (sqrt.f64 (+.f64 a b)) (/.f64 (/.f64 (-.f64 a b) a) a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (+.f64 a b)) (/.f64 1 (.f64 (/.f64 a (-.f64 a b)) (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 a b) a) (/.f64 (+.f64 a b) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (-.f64 a b) a) a) (+.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (/.f64 (+.f64 a b) (.f64 a a)) (-.f64 a b)) 1/4) (.f64 (pow.f64 (.f64 (/.f64 (+.f64 a b) (.f64 a a)) (-.f64 a b)) 1/4) (/.f64 (sqrt.f64 (+.f64 a b)) (/.f64 a (sqrt.f64 (-.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 a b) a) (/.f64 (-.f64 a b) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (.f64 (/.f64 (+.f64 a b) (.f64 a a)) (-.f64 a b)) 1/4) 3) (pow.f64 (.f64 (/.f64 (+.f64 a b) (.f64 a a)) (-.f64 a b)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 a) (/.f64 (+.f64 a b) (/.f64 a (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) 2) a) (/.f64 (cbrt.f64 (+.f64 a b)) (/.f64 a (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 a b)) a) (/.f64 (sqrt.f64 (+.f64 a b)) (/.f64 a (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 a b)) (/.f64 a (-.f64 a b))) (/.f64 (sqrt.f64 (+.f64 a b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) 2) (/.f64 a (-.f64 a b))) (/.f64 (cbrt.f64 (+.f64 a b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) 2) 1) (/.f64 (cbrt.f64 (+.f64 a b)) (/.f64 (.f64 a a) (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 a b)) 1) (/.f64 (sqrt.f64 (+.f64 a b)) (/.f64 (.f64 a a) (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (.f64 a a) (-.f64 a b))) 2)) (/.f64 (+.f64 a b) (cbrt.f64 (/.f64 (.f64 a a) (-.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) 2) (pow.f64 (cbrt.f64 (/.f64 (.f64 a a) (-.f64 a b))) 2)) (cbrt.f64 (.f64 (/.f64 (+.f64 a b) (.f64 a a)) (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 a b)) (pow.f64 (cbrt.f64 (/.f64 (.f64 a a) (-.f64 a b))) 2)) (/.f64 (sqrt.f64 (+.f64 a b)) (cbrt.f64 (/.f64 (.f64 a a) (-.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 a (sqrt.f64 (-.f64 a b)))) (/.f64 (+.f64 a b) (/.f64 a (sqrt.f64 (-.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a b)) 2) (/.f64 a (sqrt.f64 (-.f64 a b)))) (/.f64 (cbrt.f64 (+.f64 a b)) (/.f64 a (sqrt.f64 (-.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 a b) (.f64 a a)) (-.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (+.f64 a b) a) a) (-.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (+.f64 a b) a) 1) (/.f64 (-.f64 a b) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (+.f64 a b) a) (neg.f64 a)) (neg.f64 (-.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (sqrt.f64 (+.f64 a b)) (/.f64 a (sqrt.f64 (-.f64 a b)))) (cbrt.f64 (.f64 (/.f64 (+.f64 a b) (.f64 a a)) (-.f64 a b)))) (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 a b)) (/.f64 a (sqrt.f64 (-.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 (+.f64 a b) (.f64 a a)) (-.f64 a b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (+.f64 a b)) (/.f64 a (sqrt.f64 (-.f64 a b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (/.f64 (+.f64 a b) (.f64 a a)) (-.f64 a b)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (/.f64 (+.f64 a b) (.f64 a a)) (-.f64 a b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 a b) (.f64 a a)) (-.f64 a b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (/.f64 (+.f64 a b) (/.f64 a (-.f64 a b)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 a b) 3) (pow.f64 (/.f64 (.f64 a a) (-.f64 a b)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 a (/.f64 (+.f64 a b) (/.f64 a (-.f64 a b)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 a b) (.f64 (/.f64 a (-.f64 a b)) (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (/.f64 (+.f64 a b) (.f64 a a)) (-.f64 a b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 (/.f64 (+.f64 a b) (.f64 a a)) (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 (+.f64 a b) (.f64 a a)) (-.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (/.f64 (+.f64 a b) (.f64 a a)) (-.f64 a b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 a b) 3) (pow.f64 (/.f64 (.f64 a a) (-.f64 a b)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (/.f64 (+.f64 a b) (.f64 a a)) (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (/.f64 (+.f64 a b) (.f64 a a)) (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (/.f64 (+.f64 a b) (.f64 a a)) (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (/.f64 (+.f64 a b) (*.f64 a a)) (-.f64 a b))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 a (-.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 a (-.f64 a b)))) (cbrt.f64 (exp.f64 (/.f64 a (-.f64 a b)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 a (-.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 a (-.f64 a b))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 a (-.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 a (-.f64 a b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 a (/.f64 1 (-.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a (-.f64 a b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 a (-.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 a (-.f64 a b))) (cbrt.f64 (pow.f64 (/.f64 a (-.f64 a b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (/.f64 a (-.f64 a b)) 2)) (cbrt.f64 (/.f64 a (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 a a)) (.f64 (cbrt.f64 a) (/.f64 1 (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 a (-.f64 a b))) (sqrt.f64 (/.f64 a (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) (/.f64 1 (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 a) (/.f64 1 (neg.f64 (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 a b)) a)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (.f64 a a)) 1) (/.f64 (cbrt.f64 a) (-.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 a) 1) (/.f64 (sqrt.f64 a) (-.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 a b)) 2)) (/.f64 a (cbrt.f64 (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (.f64 a a)) (pow.f64 (cbrt.f64 (-.f64 a b)) 2)) (cbrt.f64 (/.f64 a (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 (-.f64 a b)) 2)) (/.f64 (sqrt.f64 a) (cbrt.f64 (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (-.f64 a b))) (/.f64 a (sqrt.f64 (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (.f64 a a)) (sqrt.f64 (-.f64 a b))) (/.f64 (cbrt.f64 a) (sqrt.f64 (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a (-.f64 (pow.f64 a 3) (pow.f64 b 3))) (fma.f64 b (+.f64 a b) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a (-.f64 (.f64 a a) (.f64 b b))) (+.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (-.f64 a b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 a (-.f64 a b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 a (-.f64 a b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 a (-.f64 a b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 a b) a) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 a 3) (pow.f64 (-.f64 a b) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 a b) a) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 a (neg.f64 (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 a (-.f64 a b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 a (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 a (-.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 a (-.f64 a b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 a 3) (pow.f64 (-.f64 a b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 a (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 a (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 a (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 a (-.f64 a b))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sqrt.f64 (+.f64 a b)) (/.f64 a (sqrt.f64 (-.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (+.f64 a b)) (/.f64 a (sqrt.f64 (-.f64 a b)))))) (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (+.f64 a b)) (/.f64 a (sqrt.f64 (-.f64 a b)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (+.f64 a b)) (/.f64 a (sqrt.f64 (-.f64 a b))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (+.f64 a b)) (/.f64 a (sqrt.f64 (-.f64 a b))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (+.f64 a b)) (/.f64 a (sqrt.f64 (-.f64 a b))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (+.f64 a b)) (/.f64 a (sqrt.f64 (-.f64 a b)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 a b)) (/.f64 a (sqrt.f64 (-.f64 a b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (sqrt.f64 (+.f64 a b)) (/.f64 a (sqrt.f64 (-.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (/.f64 (+.f64 a b) (.f64 a a)) (-.f64 a b))) (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 a b)) (/.f64 a (sqrt.f64 (-.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 a b)) (/.f64 a (sqrt.f64 (-.f64 a b))))) (cbrt.f64 (.f64 (/.f64 (+.f64 a b) (.f64 a a)) (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (/.f64 (/.f64 (-.f64 a b) a) a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 a b)) (pow.f64 (/.f64 (/.f64 (-.f64 a b) a) a) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (/.f64 (+.f64 a b) (.f64 a a)) (-.f64 a b)) 1/4) (pow.f64 (.f64 (/.f64 (+.f64 a b) (.f64 a a)) (-.f64 a b)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 (+.f64 a b) (.f64 a a)) (-.f64 a b)) 2))) (sqrt.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 a b) (.f64 a a)) (-.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (/.f64 (sqrt.f64 (+.f64 a b)) (/.f64 a (sqrt.f64 (-.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 (+.f64 a b) (.f64 a a)) (-.f64 a b)) 2)) 1/2) (pow.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 a b) (.f64 a a)) (-.f64 a b))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 a (/.f64 (+.f64 a b) (/.f64 a (-.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 a b)) (/.f64 a (sqrt.f64 (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (+.f64 a b) a)) (sqrt.f64 (/.f64 a (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 (+.f64 a b))) (sqrt.f64 (.f64 (/.f64 a (-.f64 a b)) (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (/.f64 (+.f64 a b) (.f64 a a)) (-.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (sqrt.f64 (+.f64 a b)) (/.f64 a (sqrt.f64 (-.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sqrt.f64 (+.f64 a b)) (/.f64 a (sqrt.f64 (-.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (+.f64 a b)) (/.f64 a (sqrt.f64 (-.f64 a b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (/.f64 (+.f64 a b) (.f64 a a)) (-.f64 a b)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (+.f64 a b)) (/.f64 a (sqrt.f64 (-.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (+.f64 a b)) (/.f64 a (sqrt.f64 (-.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 a b)) (/.f64 a (sqrt.f64 (-.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 a b)) (/.f64 a (sqrt.f64 (-.f64 a b))))) 1))))))

simplify64.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

769×	`associate-/l*_binary64`
736×	`fma-def_binary64`
633×	`associate-/r*_binary64`
403×	`associate-r_binary64`
330×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	166	2104
1	543	1900
2	2216	1555

Stop Event

1×	node limit

Counts

247 → 220

Calls

Call 1

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

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

localize12.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 b (/.f64 a b))

Compiler

Compiled 27 to 12 computations (55.6% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite51.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

637×	`pow1_binary64`
592×	`add-log-exp_binary64`
592×	`log1p-expm1-u_binary64`
592×	`expm1-log1p-u_binary64`
578×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	110	7
2	1605	7

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

Inputs
(/.f64 b (/.f64 a b))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 b (/.f64 b a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b (/.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 b (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 b (/.f64 b a))) (pow.f64 (cbrt.f64 (*.f64 b (/.f64 b a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 b (/.f64 b a))) 2) (cbrt.f64 (*.f64 b (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 b (/.f64 b a))) (sqrt.f64 (*.f64 b (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 b) (/.f64 1 (/.f64 (neg.f64 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b a) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) a) (/.f64 (sqrt.f64 b) (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (/.f64 b (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) a) (/.f64 (cbrt.f64 b) (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 a b)) 2)) (/.f64 b (cbrt.f64 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (/.f64 a b)) 2)) (cbrt.f64 (*.f64 b (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (/.f64 a b)) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 a b))) (/.f64 b (sqrt.f64 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (/.f64 a b))) (/.f64 (cbrt.f64 b) (sqrt.f64 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b 1) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (neg.f64 a)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 b a) 1) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 b a) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 b a) (sqrt.f64 b)) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b (/.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 b (/.f64 b a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 b (/.f64 b a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 b (/.f64 b a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (*.f64 b b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 b (/.f64 (neg.f64 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 b (/.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 b) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 b (/.f64 b a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 b (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 b (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 b (/.f64 b a))))))))

simplify116.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

759×	`sqr-pow_binary64`
434×	`unswap-sqr_binary64`
423×	`*-commutative_binary64`
423×	`associate-*r/_binary64`
393×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	11	168
2	20	168
3	37	168
4	83	168
5	266	168
6	1091	168
7	3478	168
8	4280	168
9	4465	168
10	4681	168
11	5028	168
12	5456	168
13	5935	168
14	6584	168
15	7273	168

Stop Event

1×	node limit

Counts

62 → 39

Calls

Call 1

Inputs
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)

Outputs
(/.f64 (pow.f64 b 2) a)
(/.f64 (*.f64 b b) a)
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 b a) b)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(/.f64 (*.f64 b b) a)
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 b a) b)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(/.f64 (*.f64 b b) a)
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 b a) b)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(/.f64 (*.f64 b b) a)
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 b a) b)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(/.f64 (*.f64 b b) a)
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 b a) b)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(/.f64 (*.f64 b b) a)
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 b a) b)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(/.f64 (*.f64 b b) a)
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 b a) b)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(/.f64 (*.f64 b b) a)
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 b a) b)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(/.f64 (*.f64 b b) a)
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 b a) b)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(/.f64 (*.f64 b b) a)
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 b a) b)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(/.f64 (*.f64 b b) a)
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 b a) b)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(/.f64 (*.f64 b b) a)
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 b a) b)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(/.f64 (*.f64 b b) a)
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 b a) b)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(/.f64 (*.f64 b b) a)
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 b a) b)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(/.f64 (*.f64 b b) a)
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 b a) b)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(/.f64 (*.f64 b b) a)
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 b a) b)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(/.f64 (*.f64 b b) a)
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 b a) b)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(/.f64 (*.f64 b b) a)
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 b a) b)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(/.f64 (*.f64 b b) a)
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 b a) b)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(/.f64 (*.f64 b b) a)
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 b a) b)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(/.f64 (*.f64 b b) a)
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 b a) b)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(/.f64 (*.f64 b b) a)
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 b a) b)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(/.f64 (*.f64 b b) a)
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 b a) b)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(/.f64 (*.f64 b b) a)
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 b a) b)
(*.f64 b (/.f64 b a))

eval114.0ms (3.2%)

Compiler: Compiled 6667 to 3260 computations (51.1% saved)

prune50.0ms (1.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	365	0	365
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	365	4	369

Error

Counts

369 → 4

Alt Table

Click to see full alt table

Status	Error	Program
	1.2b	1
✓	0.0b	(pow.f64 (/.f64 (+.f64 a b) (*.f64 a (/.f64 a (-.f64 a b)))) 1/2)
✓	0.4b	(fma.f64 (/.f64 -1/2 a) (/.f64 b (/.f64 a b)) 1)
✓	0.0b	(pow.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))) 1/2)

Compiler

Compiled 43 to 29 computations (32.6% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

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

Error

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
	1.2b	1
✓	0.0b	(pow.f64 (/.f64 (+.f64 a b) (*.f64 a (/.f64 a (-.f64 a b)))) 1/2)
✓	0.4b	(fma.f64 (/.f64 -1/2 a) (/.f64 b (/.f64 a b)) 1)
✓	0.0b	(pow.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))) 1/2)

Compiler

Compiled 43 to 29 computations (32.6% saved)

regimes63.0ms (1.8%)

Counts

9 → 1

Calls

Call 1

Inputs
1
(fma.f64 (/.f64 -1/2 a) (/.f64 b (/.f64 a b)) 1)
(pow.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))) 1/2)
(pow.f64 (/.f64 (+.f64 a b) (*.f64 a (/.f64 a (-.f64 a b)))) 1/2)
(sqrt.f64 (fabs.f64 1))
(pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/2)
(/.f64 1 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (+.f64 a b) a) (/.f64 (-.f64 a b) a))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

Outputs
(pow.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))) 1/2)

Calls

12 calls:

25.0ms	a
6.0ms	b
4.0ms	(*.f64 a a)
4.0ms	(*.f64 a a)
3.0ms	(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))

Results

Error	Segments	Branch
0.0b	1	`a`
0.0b	1	`b`
0.0b	1	`(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))`
0.0b	1	`(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))`
0.0b	1	`(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))`
0.0b	1	`(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))`
0.0b	1	`(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))`
0.0b	1	`(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))`
0.0b	1	`(*.f64 a a)`
0.0b	1	`(*.f64 a a)`
0.0b	1	`(*.f64 b b)`
0.0b	1	`(*.f64 b b)`

Compiler

Compiled 197 to 109 computations (44.7% saved)

regimes8.0ms (0.2%)

Accuracy

Total -0.7b remaining (-163.4%)

Threshold costs -0.7b (-163.4%)

Counts

2 → 1

Calls

Call 1

Inputs
1
(fma.f64 (/.f64 -1/2 a) (/.f64 b (/.f64 a b)) 1)

Outputs
(fma.f64 (/.f64 -1/2 a) (/.f64 b (/.f64 a b)) 1)

Calls

2 calls:

3.0ms	a
3.0ms	b

Results

Error	Segments	Branch
0.4b	1	`a`
0.4b	1	`b`

Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
3×	`*-commutative_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	31
1	18	31
2	24	31
3	30	31
4	35	31
5	38	31
6	39	31

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(pow.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))) 1/2)
(fma.f64 (/.f64 -1/2 a) (/.f64 b (/.f64 a b)) 1)
1

Outputs
(pow.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))) 1/2)
(fma.f64 (/.f64 -1/2 a) (/.f64 b (/.f64 a b)) 1)
1

Compiler

Compiled 28 to 20 computations (28.6% saved)

soundness0.0ms (0%)

end25.0ms (0.7%)

Compiler: Compiled 24 to 15 computations (37.5% saved)

Details

analyze16.0ms (0.5%)

sample1.3s (37.5%)

preprocess111.0ms (3.1%)

simplify65.0ms (1.8%)

eval1.0ms (0%)

prune1.0ms (0%)

localize12.0ms (0.3%)

series7.0ms (0.2%)

rewrite75.0ms (2.1%)

simplify77.0ms (2.1%)

eval30.0ms (0.8%)

prune13.0ms (0.4%)

localize33.0ms (0.9%)

localize14.0ms (0.4%)

series13.0ms (0.4%)

rewrite82.0ms (2.3%)

simplify78.0ms (2.2%)

localize21.0ms (0.6%)

series24.0ms (0.7%)

rewrite87.0ms (2.4%)

simplify140.0ms (3.9%)

localize13.0ms (0.4%)

series3.0ms (0.1%)

rewrite62.0ms (1.7%)

simplify69.0ms (1.9%)

eval304.0ms (8.5%)

prune87.0ms (2.4%)

localize13.0ms (0.4%)

series6.0ms (0.2%)

rewrite68.0ms (1.9%)

simplify70.0ms (2%)

localize17.0ms (0.5%)

series12.0ms (0.3%)

rewrite94.0ms (2.6%)

simplify64.0ms (1.8%)

localize12.0ms (0.3%)

series3.0ms (0.1%)

rewrite51.0ms (1.4%)

simplify116.0ms (3.3%)

eval114.0ms (3.2%)

prune50.0ms (1.4%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes63.0ms (1.8%)

regimes8.0ms (0.2%)

simplify4.0ms (0.1%)

soundness0.0ms (0%)

end25.0ms (0.7%)

Profiling