Details

analyze15.0ms (0.4%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	37.5%	62.5%	0%	0%	0%	0
0%	0%	37.5%	62.5%	0%	0%	0%	1
0%	0%	18.7%	81.3%	0%	0%	0%	2
0%	0%	9.4%	90.6%	0%	0%	0%	3
0%	0%	9.4%	90.6%	0%	0%	0%	4
0%	0%	7%	93%	0%	0%	0%	5
20%	1.2%	4.7%	94.1%	0%	0%	0%	6
25%	1.2%	3.5%	95.3%	0%	0%	0%	7
40%	1.8%	2.6%	95.6%	0%	0%	0%	8
51.9%	2%	1.9%	96%	0%	0%	0%	9
64.7%	2.4%	1.3%	96.3%	0%	0%	0%	10
72.9%	2.6%	1%	96.5%	0%	0%	0%	11
80.2%	2.7%	0.7%	96.6%	0%	0%	0%	12

Compiler

Compiled 26 to 15 computations (42.3% saved)

sample1.1s (25.6%)

Results

987.0ms	8256×	body	256	valid
86.0ms	798×	body	256	precondition

Bogosity

preprocess46.0ms (1.1%)

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)

simplify44.0ms (1%)

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 → 4

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 46 to 23 computations (50% saved)

prune2.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	1	3	4
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	4	5

Error

Counts

5 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
▶	14.3b	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
▶	0.0b	(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))

Compiler

Compiled 40 to 23 computations (42.5% saved)

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 45 to 14 computations (68.9% saved)

series6.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	b	@	0	(*.f64 (/.f64 b a) (/.f64 b a))
1.0ms	a	@	0	(*.f64 (/.f64 b a) (/.f64 b a))
1.0ms	b	@	inf	(*.f64 (/.f64 b a) (/.f64 b a))
0.0ms	a	@	inf	(*.f64 (/.f64 b a) (/.f64 b a))
0.0ms	b	@	inf	(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))

rewrite49.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

971×	`pow1_binary64`
909×	`add-log-exp_binary64`
909×	`log1p-expm1-u_binary64`
909×	`expm1-log1p-u_binary64`
101×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	199	19
2	2776	19

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

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

Outputs

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

simplify70.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

390×	`fma-neg_binary64`
337×	`div-sub_binary64`
329×	`associate-l_binary64`
308×	`exp-prod_binary64`
306×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	146	1152
1	329	1141
2	1072	1137
3	5326	1111

Stop Event

1×	node limit

Counts

105 → 70

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))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(-.f64 (+.f64 (pow.f64 (/.f64 b a) 2) 1) 1)
(/.f64 b (*.f64 a (/.f64 a b)))
(/.f64 b (*.f64 (/.f64 a b) a))
(/.f64 b (/.f64 (*.f64 a a) b))
(/.f64 b (/.f64 a (/.f64 b a)))
(/.f64 (/.f64 b a) (/.f64 a b))
(/.f64 1 (*.f64 (/.f64 a b) (/.f64 a b)))
(/.f64 1 (/.f64 (.f64 a a) (.f64 b b)))
(/.f64 1 (/.f64 a (*.f64 b (/.f64 b a))))
(/.f64 (.f64 b b) (.f64 a a))
(/.f64 (neg.f64 b) (*.f64 (/.f64 a b) (neg.f64 a)))
(/.f64 (*.f64 b (/.f64 b a)) a)
(/.f64 (.f64 (neg.f64 b) (neg.f64 b)) (.f64 (neg.f64 a) (neg.f64 a)))
(/.f64 (neg.f64 (.f64 b b)) (neg.f64 (.f64 a a)))
(/.f64 (neg.f64 (*.f64 b (/.f64 b a))) (neg.f64 a))
(/.f64 (.f64 (neg.f64 b) b) (.f64 (neg.f64 a) a))
(/.f64 (.f64 (neg.f64 b) 1) (.f64 (neg.f64 a) (/.f64 a b)))
(/.f64 (.f64 b (neg.f64 b)) (.f64 a (neg.f64 a)))
(/.f64 (/.f64 (*.f64 b (/.f64 b a)) 1) a)
(/.f64 (/.f64 (.f64 b (/.f64 b a)) (cbrt.f64 (.f64 a a))) (cbrt.f64 a))
(/.f64 (/.f64 (*.f64 b (/.f64 b a)) (sqrt.f64 a)) (sqrt.f64 a))
(/.f64 (*.f64 (neg.f64 b) (/.f64 b a)) (neg.f64 a))
(/.f64 (*.f64 (/.f64 b a) (neg.f64 b)) (neg.f64 a))
(pow.f64 (/.f64 b a) 2)
(pow.f64 (pow.f64 (/.f64 b a) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) 3)
(pow.f64 (pow.f64 (/.f64 b a) 6) 1/3)
(sqrt.f64 (pow.f64 (/.f64 b a) 4))
(log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 b a) 2))))
(cbrt.f64 (pow.f64 (/.f64 b a) 6))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 b a) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 b a) 2)))
(exp.f64 (*.f64 (log.f64 (/.f64 b a)) 2))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))) 1)
(*.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1)
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(*.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))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.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))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 6))) (sqrt.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 b a) 4)) (pow.f64 (/.f64 b a) 2))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 4))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 b a) 2) 1)))
(pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/2)
(pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1)
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3/2) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) 3)
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4) 2)
(fabs.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))

Outputs
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(-.f64 (+.f64 (pow.f64 (/.f64 b a) 2) 1) 1)
(pow.f64 (/.f64 b a) 2)
(/.f64 b (*.f64 a (/.f64 a b)))
(pow.f64 (/.f64 b a) 2)
(/.f64 b (*.f64 (/.f64 a b) a))
(pow.f64 (/.f64 b a) 2)
(/.f64 b (/.f64 (*.f64 a a) b))
(pow.f64 (/.f64 b a) 2)
(/.f64 b (/.f64 a (/.f64 b a)))
(pow.f64 (/.f64 b a) 2)
(/.f64 (/.f64 b a) (/.f64 a b))
(pow.f64 (/.f64 b a) 2)
(/.f64 1 (*.f64 (/.f64 a b) (/.f64 a b)))
(pow.f64 (/.f64 b a) 2)
(/.f64 1 (/.f64 (.f64 a a) (.f64 b b)))
(pow.f64 (/.f64 b a) 2)
(/.f64 1 (/.f64 a (*.f64 b (/.f64 b a))))
(pow.f64 (/.f64 b a) 2)
(/.f64 (.f64 b b) (.f64 a a))
(pow.f64 (/.f64 b a) 2)
(/.f64 (neg.f64 b) (*.f64 (/.f64 a b) (neg.f64 a)))
(pow.f64 (/.f64 b a) 2)
(/.f64 (*.f64 b (/.f64 b a)) a)
(pow.f64 (/.f64 b a) 2)
(/.f64 (.f64 (neg.f64 b) (neg.f64 b)) (.f64 (neg.f64 a) (neg.f64 a)))
(pow.f64 (/.f64 b a) 2)
(/.f64 (neg.f64 (.f64 b b)) (neg.f64 (.f64 a a)))
(pow.f64 (/.f64 b a) 2)
(/.f64 (neg.f64 (*.f64 b (/.f64 b a))) (neg.f64 a))
(pow.f64 (/.f64 b a) 2)
(/.f64 (.f64 (neg.f64 b) b) (.f64 (neg.f64 a) a))
(pow.f64 (/.f64 b a) 2)
(/.f64 (.f64 (neg.f64 b) 1) (.f64 (neg.f64 a) (/.f64 a b)))
(pow.f64 (/.f64 b a) 2)
(/.f64 (.f64 b (neg.f64 b)) (.f64 a (neg.f64 a)))
(pow.f64 (/.f64 b a) 2)
(/.f64 (/.f64 (*.f64 b (/.f64 b a)) 1) a)
(pow.f64 (/.f64 b a) 2)
(/.f64 (/.f64 (.f64 b (/.f64 b a)) (cbrt.f64 (.f64 a a))) (cbrt.f64 a))
(/.f64 (/.f64 b (/.f64 (cbrt.f64 (*.f64 a a)) (/.f64 b a))) (cbrt.f64 a))
(.f64 (/.f64 b (cbrt.f64 a)) (/.f64 (/.f64 b a) (cbrt.f64 (.f64 a a))))
(/.f64 (/.f64 (*.f64 b (/.f64 b a)) (sqrt.f64 a)) (sqrt.f64 a))
(pow.f64 (/.f64 b a) 2)
(/.f64 (*.f64 (neg.f64 b) (/.f64 b a)) (neg.f64 a))
(pow.f64 (/.f64 b a) 2)
(/.f64 (*.f64 (/.f64 b a) (neg.f64 b)) (neg.f64 a))
(pow.f64 (/.f64 b a) 2)
(pow.f64 (/.f64 b a) 2)
(pow.f64 (pow.f64 (/.f64 b a) 2) 1)
(pow.f64 (/.f64 b a) 2)
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) 3)
(pow.f64 (/.f64 b a) 2)
(pow.f64 (pow.f64 (/.f64 b a) 6) 1/3)
(cbrt.f64 (pow.f64 (/.f64 b a) 6))
(sqrt.f64 (pow.f64 (/.f64 b a) 4))
(pow.f64 (/.f64 b a) 2)
(log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))
(pow.f64 (/.f64 b a) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 b a) 2))))
(pow.f64 (/.f64 b a) 2)
(cbrt.f64 (pow.f64 (/.f64 b a) 6))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 b a) 2)))
(pow.f64 (/.f64 b a) 2)
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 b a) 2)))
(pow.f64 (/.f64 b a) 2)
(exp.f64 (*.f64 (log.f64 (/.f64 b a)) 2))
(pow.f64 (/.f64 b a) 2)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))) 1)
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(*.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1)
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(*.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))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(*.f64 (fabs.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 3/2)
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.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))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(*.f64 (fabs.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 3/2)
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 6))) (sqrt.f64 (+.f64 (+.f64 1 (pow.f64 (/.f64 b a) 4)) (pow.f64 (/.f64 b a) 2))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 6))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 b a) 2) (+.f64 1 (pow.f64 (/.f64 b a) 4)))))
(/.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)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 4))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 b a) 2) 1)))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 4))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 b a) 2))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 4))) (hypot.f64 1 (/.f64 b a)))
(pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/2)
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1)
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3/2))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) 3)
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4) 2)
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(fabs.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
✓	0.0b	(-.f64 (.f64 a a) (.f64 b b))
✓	13.8b	(/.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

3 → 72

Calls

18 calls:

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

rewrite79.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

881×	`prod-diff_binary64`
506×	`log-prod_binary64`
413×	`fma-def_binary64`
251×	`pow2_binary64`
215×	`egg-rr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	46
1	214	38
2	3342	32

Stop Event

1×	node limit

Counts

3 → 304

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))
(-.f64 (.f64 a a) (.f64 b b))
(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 (.f64 a a) (.f64 b (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a a) (.f64 (.f64 b (neg.f64 b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a a) (fma.f64 b (neg.f64 b) (fma.f64 b (neg.f64 b) (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 a a) (.f64 b b)) (fma.f64 b (neg.f64 b) (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 a a) (.f64 b b)) (fma.f64 (.f64 b (neg.f64 b)) 1 (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 a a) (.f64 b b)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 (pow.f64 b 4)) (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 (fma.f64 b (neg.f64 b) (.f64 b b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 a a) (.f64 b b)) (+.f64 (fma.f64 b (neg.f64 b) (.f64 b b)) (fma.f64 b (neg.f64 b) (.f64 b b))))))) (#(struct:change #<rule 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Outputs

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fma.f64 (fabs.f64 (cbrt.f64 (pow.f64 a 4))) (fabs.f64 (pow.f64 (cbrt.f64 a) 2)) (neg.f64 (-.f64 (*.f64 b b) (fma.f64 b (neg.f64 b) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 b 4))) (pow.f64 (cbrt.f64 b) 2) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 b) 1) b (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 b) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 b) (sqrt.f64 b)) (sqrt.f64 b) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (*.f64 b (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (*.f64 (*.f64 b (neg.f64 b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (fma.f64 b (neg.f64 b) (fma.f64 b (neg.f64 b) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (neg.f64 (-.f64 (*.f64 b b) (fma.f64 b (neg.f64 b) (*.f64 b b)))))))))

((#(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))))))

simplify141.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

481×	`fma-neg_binary64`
399×	`cancel-sign-sub-inv_binary64`
224×	`log-prod_binary64`
218×	`fabs-mul_binary64`
214×	`cube-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	607	7051
1	1424	5910
2	4618	5151

Stop Event

1×	node limit

Counts

376 → 372

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))))
(*.f64 -1 (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(pow.f64 a 2)
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(pow.f64 a 2)
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(pow.f64 a 2)
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(*.f64 -1 (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(*.f64 -1 (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(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))))
(+.f64 1 (neg.f64 (pow.f64 (/.f64 b a) 2)))
(+.f64 0 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(+.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))))))
(+.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))))))
(-.f64 1 (pow.f64 (/.f64 b a) 2))
(-.f64 (exp.f64 (log1p.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) 1)
(.f64 (-.f64 (.f64 a a) (*.f64 b b)) (pow.f64 a -2))
(.f64 (-.f64 (.f64 a a) (*.f64 b b)) (fabs.f64 (pow.f64 a -2)))
(*.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1)
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(*.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 2)))
(.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)))))
(.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)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(.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)))))
(.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)))
(.f64 (.f64 (+.f64 a b) (neg.f64 (-.f64 a b))) (/.f64 1 (*.f64 a (neg.f64 a))))
(.f64 (pow.f64 a -2) (-.f64 (.f64 a a) (*.f64 b b)))
(.f64 (+.f64 a b) (.f64 (-.f64 a b) (pow.f64 a -2)))
(*.f64 (/.f64 (+.f64 a b) (/.f64 a (-.f64 a b))) (/.f64 1 a))
(*.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))
(*.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)))))
(*.f64 (/.f64 1 a) (/.f64 (+.f64 a b) (/.f64 a (-.f64 a b))))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 a 4))) (/.f64 (-.f64 (.f64 a a) (*.f64 b b)) (pow.f64 (cbrt.f64 a) 2)))
(.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)))
(.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)))
(.f64 (/.f64 (+.f64 a b) 1) (/.f64 (-.f64 a b) (.f64 a a)))
(.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))
(*.f64 (/.f64 (+.f64 a b) a) (/.f64 (-.f64 a b) a))
(.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))))
(.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)))
(*.f64 (/.f64 (+.f64 a b) (cbrt.f64 (pow.f64 a 4))) (/.f64 (-.f64 a b) (pow.f64 (cbrt.f64 a) 2)))
(.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)))))
(pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1)
(pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 2)
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 2) 1/2)
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(fma.f64 (.f64 a (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (neg.f64 (-.f64 (.f64 b b) (fma.f64 b (neg.f64 b) (*.f64 b b)))))
(+.f64 0 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(+.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)))))))
(+.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)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))) 1)
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1)
(*.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(*.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))
(.f64 (hypot.f64 a (sqrt.f64 (.f64 b (neg.f64 b)))) (sqrt.f64 (pow.f64 a -2)))
(*.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)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(*.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))
(/.f64 1 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) a)
(/.f64 (sqrt.f64 (/.f64 (+.f64 a b) (/.f64 a (-.f64 a b)))) (sqrt.f64 a))
(/.f64 (sqrt.f64 (.f64 (+.f64 a b) (neg.f64 (-.f64 a b)))) (sqrt.f64 (.f64 a (neg.f64 a))))
(pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/2)
(pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1)
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3/2) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) 3)
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4) 2)
(pow.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) -1)
(fabs.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) 1))

Outputs
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(/.f64 (.f64 b (neg.f64 b)) (.f64 a a))
(neg.f64 (pow.f64 (/.f64 b a) 2))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 (.f64 b (neg.f64 b)) (.f64 a a)) 1)
(-.f64 1 (pow.f64 (/.f64 b a) 2))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 (.f64 b (neg.f64 b)) (.f64 a a)) 1)
(-.f64 1 (pow.f64 (/.f64 b a) 2))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 (.f64 b (neg.f64 b)) (.f64 a a)) 1)
(-.f64 1 (pow.f64 (/.f64 b a) 2))
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 (.f64 b (neg.f64 b)) (.f64 a a)) 1)
(-.f64 1 (pow.f64 (/.f64 b a) 2))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 (.f64 b (neg.f64 b)) (.f64 a a)) 1)
(-.f64 1 (pow.f64 (/.f64 b a) 2))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 (.f64 b (neg.f64 b)) (.f64 a a)) 1)
(-.f64 1 (pow.f64 (/.f64 b a) 2))
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 (.f64 b (neg.f64 b)) (.f64 a a)) 1)
(-.f64 1 (pow.f64 (/.f64 b a) 2))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 (.f64 b (neg.f64 b)) (.f64 a a)) 1)
(-.f64 1 (pow.f64 (/.f64 b a) 2))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 (.f64 b (neg.f64 b)) (.f64 a a)) 1)
(-.f64 1 (pow.f64 (/.f64 b a) 2))
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 (.f64 b (neg.f64 b)) (.f64 a a)) 1)
(-.f64 1 (pow.f64 (/.f64 b a) 2))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 (.f64 b (neg.f64 b)) (.f64 a a)) 1)
(-.f64 1 (pow.f64 (/.f64 b a) 2))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 (.f64 b (neg.f64 b)) (.f64 a a)) 1)
(-.f64 1 (pow.f64 (/.f64 b a) 2))
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(/.f64 (.f64 b (neg.f64 b)) (.f64 a a))
(neg.f64 (pow.f64 (/.f64 b a) 2))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 (.f64 b (neg.f64 b)) (.f64 a a)) 1)
(-.f64 1 (pow.f64 (/.f64 b a) 2))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 (.f64 b (neg.f64 b)) (.f64 a a)) 1)
(-.f64 1 (pow.f64 (/.f64 b a) 2))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 (.f64 b (neg.f64 b)) (.f64 a a)) 1)
(-.f64 1 (pow.f64 (/.f64 b a) 2))
(*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(/.f64 (.f64 b (neg.f64 b)) (.f64 a a))
(neg.f64 (pow.f64 (/.f64 b a) 2))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 (.f64 b (neg.f64 b)) (.f64 a a)) 1)
(-.f64 1 (pow.f64 (/.f64 b a) 2))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 (.f64 b (neg.f64 b)) (.f64 a a)) 1)
(-.f64 1 (pow.f64 (/.f64 b a) 2))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 (/.f64 (.f64 b (neg.f64 b)) (.f64 a a)) 1)
(-.f64 1 (pow.f64 (/.f64 b a) 2))
(*.f64 -1 (pow.f64 b 2))
(*.f64 b (neg.f64 b))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(fma.f64 b (neg.f64 b) (*.f64 a a))
(-.f64 (.f64 a a) (.f64 b b))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(fma.f64 b (neg.f64 b) (*.f64 a a))
(-.f64 (.f64 a a) (.f64 b b))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(fma.f64 b (neg.f64 b) (*.f64 a a))
(-.f64 (.f64 a a) (.f64 b b))
(pow.f64 a 2)
(*.f64 a a)
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(fma.f64 b (neg.f64 b) (*.f64 a a))
(-.f64 (.f64 a a) (.f64 b b))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(fma.f64 b (neg.f64 b) (*.f64 a a))
(-.f64 (.f64 a a) (.f64 b b))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(fma.f64 b (neg.f64 b) (*.f64 a a))
(-.f64 (.f64 a a) (.f64 b b))
(pow.f64 a 2)
(*.f64 a a)
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(fma.f64 b (neg.f64 b) (*.f64 a a))
(-.f64 (.f64 a a) (.f64 b b))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(fma.f64 b (neg.f64 b) (*.f64 a a))
(-.f64 (.f64 a a) (.f64 b b))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(fma.f64 b (neg.f64 b) (*.f64 a a))
(-.f64 (.f64 a a) (.f64 b b))
(pow.f64 a 2)
(*.f64 a a)
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(fma.f64 b (neg.f64 b) (*.f64 a a))
(-.f64 (.f64 a a) (.f64 b b))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(fma.f64 b (neg.f64 b) (*.f64 a a))
(-.f64 (.f64 a a) (.f64 b b))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(fma.f64 b (neg.f64 b) (*.f64 a a))
(-.f64 (.f64 a a) (.f64 b b))
(*.f64 -1 (pow.f64 b 2))
(*.f64 b (neg.f64 b))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(fma.f64 b (neg.f64 b) (*.f64 a a))
(-.f64 (.f64 a a) (.f64 b b))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(fma.f64 b (neg.f64 b) (*.f64 a a))
(-.f64 (.f64 a a) (.f64 b b))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(fma.f64 b (neg.f64 b) (*.f64 a a))
(-.f64 (.f64 a a) (.f64 b b))
(*.f64 -1 (pow.f64 b 2))
(*.f64 b (neg.f64 b))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(fma.f64 b (neg.f64 b) (*.f64 a a))
(-.f64 (.f64 a a) (.f64 b b))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(fma.f64 b (neg.f64 b) (*.f64 a a))
(-.f64 (.f64 a a) (.f64 b b))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(fma.f64 b (neg.f64 b) (*.f64 a a))
(-.f64 (.f64 a a) (.f64 b b))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 2))))
(sqrt.f64 (fabs.f64 (/.f64 (fma.f64 b (neg.f64 b) (.f64 a a)) (.f64 a a))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b 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 (fma.f64 b (neg.f64 b) (.f64 a a)) (.f64 a a))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b 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 (fma.f64 b (neg.f64 b) (.f64 a a)) (.f64 a a))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b 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 (fma.f64 b (neg.f64 b) (.f64 a a)) (.f64 a a))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b 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 (fma.f64 b (neg.f64 b) (.f64 a a)) (.f64 a a))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b 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 (fma.f64 b (neg.f64 b) (.f64 a a)) (.f64 a a))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b 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 (fma.f64 b (neg.f64 b) (.f64 a a)) (.f64 a a))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b 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 (fma.f64 b (neg.f64 b) (.f64 a a)) (.f64 a a))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b 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 (fma.f64 b (neg.f64 b) (.f64 a a)) (.f64 a a))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b 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 (fma.f64 b (neg.f64 b) (.f64 a a)) (.f64 a a))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b 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 (fma.f64 b (neg.f64 b) (.f64 a a)) (.f64 a a))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b 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 (fma.f64 b (neg.f64 b) (.f64 a a)) (.f64 a a))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b 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 (fma.f64 b (neg.f64 b) (.f64 a a)) (.f64 a a))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b 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 (fma.f64 b (neg.f64 b) (.f64 a a)) (.f64 a a))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b 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 (fma.f64 b (neg.f64 b) (.f64 a a)) (.f64 a a))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b 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 (fma.f64 b (neg.f64 b) (.f64 a a)) (.f64 a a))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b 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 (fma.f64 b (neg.f64 b) (.f64 a a)) (.f64 a a))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b 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 (fma.f64 b (neg.f64 b) (.f64 a a)) (.f64 a a))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b 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 (fma.f64 b (neg.f64 b) (.f64 a a)) (.f64 a a))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b 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 (fma.f64 b (neg.f64 b) (.f64 a a)) (.f64 a a))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b 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 (fma.f64 b (neg.f64 b) (.f64 a a)) (.f64 a a))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b 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 (fma.f64 b (neg.f64 b) (.f64 a a)) (.f64 a a))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b 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 (fma.f64 b (neg.f64 b) (.f64 a a)) (.f64 a a))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b 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 (fma.f64 b (neg.f64 b) (.f64 a a)) (.f64 a a))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(+.f64 1 (neg.f64 (pow.f64 (/.f64 b a) 2)))
(+.f64 (/.f64 (.f64 b (neg.f64 b)) (.f64 a a)) 1)
(-.f64 1 (pow.f64 (/.f64 b a) 2))
(+.f64 0 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(+.f64 (/.f64 (.f64 b (neg.f64 b)) (.f64 a a)) 1)
(-.f64 1 (pow.f64 (/.f64 b a) 2))
(+.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))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))
(+.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))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))
(-.f64 1 (pow.f64 (/.f64 b a) 2))
(+.f64 (/.f64 (.f64 b (neg.f64 b)) (.f64 a a)) 1)
(-.f64 (exp.f64 (log1p.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) 1)
(+.f64 (/.f64 (.f64 b (neg.f64 b)) (.f64 a a)) 1)
(-.f64 1 (pow.f64 (/.f64 b a) 2))
(.f64 (-.f64 (.f64 a a) (*.f64 b b)) (pow.f64 a -2))
(.f64 (fma.f64 b (neg.f64 b) (.f64 a a)) (pow.f64 a -2))
(.f64 (-.f64 (.f64 a a) (*.f64 b b)) (fabs.f64 (pow.f64 a -2)))
(.f64 (fma.f64 b (neg.f64 b) (.f64 a a)) (pow.f64 a -2))
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(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
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(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))
(+.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)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))) 1)
(sqrt.f64 (fabs.f64 (/.f64 (fma.f64 b (neg.f64 b) (.f64 a a)) (.f64 a a))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1)
(sqrt.f64 (fabs.f64 (/.f64 (fma.f64 b (neg.f64 b) (.f64 a a)) (.f64 a a))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(*.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(sqrt.f64 (fabs.f64 (/.f64 (fma.f64 b (neg.f64 b) (.f64 a a)) (.f64 a a))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(*.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))
(sqrt.f64 (fabs.f64 (/.f64 (fma.f64 b (neg.f64 b) (.f64 a a)) (.f64 a a))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(.f64 (hypot.f64 a (sqrt.f64 (.f64 b (neg.f64 b)))) (sqrt.f64 (pow.f64 a -2)))
(.f64 (pow.f64 a -1) (hypot.f64 a (sqrt.f64 (.f64 b (neg.f64 b)))))
(*.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)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(sqrt.f64 (fabs.f64 (/.f64 (fma.f64 b (neg.f64 b) (.f64 a a)) (.f64 a a))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(*.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))
(*.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)))))
(/.f64 1 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(/.f64 1 (sqrt.f64 (/.f64 -1 (+.f64 -1 (pow.f64 (/.f64 b a) 2)))))
(/.f64 (hypot.f64 a (sqrt.f64 (*.f64 b (neg.f64 b)))) a)
(/.f64 (sqrt.f64 (/.f64 (+.f64 a b) (/.f64 a (-.f64 a b)))) (sqrt.f64 a))
(/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 a b))) (sqrt.f64 a))
(/.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) a)) (sqrt.f64 a))
(/.f64 (sqrt.f64 (.f64 (+.f64 a b) (neg.f64 (-.f64 a b)))) (sqrt.f64 (.f64 a (neg.f64 a))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 b (neg.f64 b) (.f64 a a)))) (sqrt.f64 (neg.f64 (.f64 a a))))
(/.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 a a))) (sqrt.f64 (*.f64 a (neg.f64 a))))
(pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/2)
(sqrt.f64 (fabs.f64 (/.f64 (fma.f64 b (neg.f64 b) (.f64 a a)) (.f64 a a))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1)
(sqrt.f64 (fabs.f64 (/.f64 (fma.f64 b (neg.f64 b) (.f64 a a)) (.f64 a a))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3/2))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) 3)
(sqrt.f64 (fabs.f64 (/.f64 (fma.f64 b (neg.f64 b) (.f64 a a)) (.f64 a a))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4) 2)
(sqrt.f64 (fabs.f64 (/.f64 (fma.f64 b (neg.f64 b) (.f64 a a)) (.f64 a a))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(pow.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) -1)
(/.f64 1 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(/.f64 1 (sqrt.f64 (/.f64 -1 (+.f64 -1 (pow.f64 (/.f64 b a) 2)))))
(fabs.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(sqrt.f64 (fabs.f64 (/.f64 (fma.f64 b (neg.f64 b) (.f64 a a)) (.f64 a a))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(sqrt.f64 (fabs.f64 (/.f64 (fma.f64 b (neg.f64 b) (.f64 a a)) (.f64 a a))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))
(sqrt.f64 (fabs.f64 (/.f64 (fma.f64 b (neg.f64 b) (.f64 a a)) (.f64 a a))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(sqrt.f64 (fabs.f64 (/.f64 (fma.f64 b (neg.f64 b) (.f64 a a)) (.f64 a a))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(sqrt.f64 (fabs.f64 (/.f64 (fma.f64 b (neg.f64 b) (.f64 a a)) (.f64 a a))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(sqrt.f64 (fabs.f64 (/.f64 (fma.f64 b (neg.f64 b) (.f64 a a)) (.f64 a a))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))) 1/2))
(sqrt.f64 (fabs.f64 (/.f64 (fma.f64 b (neg.f64 b) (.f64 a a)) (.f64 a a))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) 1))
(sqrt.f64 (fabs.f64 (/.f64 (fma.f64 b (neg.f64 b) (.f64 a a)) (.f64 a a))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
✓	0.0b	(fma.f64 (/.f64 b a) (/.f64 b a) -1)

Compiler

Compiled 35 to 13 computations (62.9% saved)

series25.0ms (0.6%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
19.0ms	b	@	-inf	(fma.f64 (/.f64 b a) (/.f64 b a) -1)
1.0ms	a	@	-inf	(fma.f64 (/.f64 b a) (/.f64 b a) -1)
1.0ms	b	@	inf	(fma.f64 (/.f64 b a) (/.f64 b a) -1)
1.0ms	b	@	0	(fma.f64 (/.f64 b a) (/.f64 b a) -1)
0.0ms	a	@	inf	(fma.f64 (/.f64 b a) (/.f64 b a) -1)

rewrite48.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

710×	`pow1_binary64`
656×	`add-log-exp_binary64`
656×	`log1p-expm1-u_binary64`
656×	`expm1-log1p-u_binary64`
641×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	160	22
2	1989	22

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (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 (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 (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 (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 (pow.f64 (cbrt.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 (pow.f64 (cbrt.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 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 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 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)))))))))

simplify50.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

704×	`fma-neg_binary64`
479×	`log-prod_binary64`
362×	`exp-prod_binary64`
296×	`cube-prod_binary64`
278×	`div-sub_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	110	1063
1	235	850
2	956	787
3	5358	787

Stop Event

1×	node limit

Counts

75 → 65

Calls

Call 1

Inputs
-1
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
-1
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
-1
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 -1 (pow.f64 (/.f64 b a) 2))
(+.f64 (pow.f64 (/.f64 b a) 2) -1)
(+.f64 (*.f64 (pow.f64 (/.f64 b a) 2) 1) -1)
(-.f64 (+.f64 1 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) 1)
(*.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)) 1)
(*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))))
(*.f64 1 (+.f64 -1 (pow.f64 (/.f64 b a) 2)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) 2) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))))
(*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) 2))
(.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)))))
(.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)))))
(.f64 (.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) (pow.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)) 1/4)) (pow.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)) 1/4))
(*.f64 (fabs.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) 2)) (fabs.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)))))
(*.f64 (+.f64 (/.f64 b a) 1) (-.f64 (/.f64 b a) 1))
(.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)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 b a) 2) 3) -1) (+.f64 (.f64 (pow.f64 (/.f64 b a) 2) (pow.f64 (/.f64 b a) 2)) (-.f64 1 (.f64 (pow.f64 (/.f64 b a) 2) -1))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 b a) 2) (pow.f64 (/.f64 b a) 2)) 1) (-.f64 (pow.f64 (/.f64 b a) 2) -1))
(pow.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)) 1)
(pow.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) 2)
(pow.f64 (pow.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)) 3) 1/3)
(pow.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))) 3)
(sqrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)) 2))
(fabs.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)))
(fabs.f64 (neg.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))))
(fabs.f64 (neg.f64 (neg.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)))))
(log.f64 (exp.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))))
(cbrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)) 3))
(expm1.f64 (log1p.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))))
(log1p.f64 (expm1.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))))
(exp.f64 (log.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)))) 1)
(*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) 1)
(*.f64 1 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)))) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))))
(*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) (cbrt.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)))))
(*.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))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.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))
(pow.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)) 1/2)
(pow.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) 1)
(pow.f64 (pow.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)) 3/2) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)))) 3)
(pow.f64 (pow.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)) 1/4) 2)
(fabs.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)))))
(cbrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)))))

Outputs
-1
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(+.f64 -1 (pow.f64 (/.f64 b a) 2))
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(+.f64 -1 (pow.f64 (/.f64 b a) 2))
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(+.f64 -1 (pow.f64 (/.f64 b a) 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(pow.f64 (/.f64 b a) 2)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(+.f64 -1 (pow.f64 (/.f64 b a) 2))
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(+.f64 -1 (pow.f64 (/.f64 b a) 2))
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(+.f64 -1 (pow.f64 (/.f64 b a) 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(pow.f64 (/.f64 b a) 2)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(+.f64 -1 (pow.f64 (/.f64 b a) 2))
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(+.f64 -1 (pow.f64 (/.f64 b a) 2))
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(+.f64 -1 (pow.f64 (/.f64 b a) 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(pow.f64 (/.f64 b a) 2)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(+.f64 -1 (pow.f64 (/.f64 b a) 2))
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(+.f64 -1 (pow.f64 (/.f64 b a) 2))
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(+.f64 -1 (pow.f64 (/.f64 b a) 2))
-1
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(+.f64 -1 (pow.f64 (/.f64 b a) 2))
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(+.f64 -1 (pow.f64 (/.f64 b a) 2))
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(+.f64 -1 (pow.f64 (/.f64 b a) 2))
-1
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(+.f64 -1 (pow.f64 (/.f64 b a) 2))
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(+.f64 -1 (pow.f64 (/.f64 b a) 2))
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(+.f64 -1 (pow.f64 (/.f64 b a) 2))
(+.f64 -1 (pow.f64 (/.f64 b a) 2))
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(+.f64 (pow.f64 (/.f64 b a) 2) -1)
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(+.f64 -1 (pow.f64 (/.f64 b a) 2))
(+.f64 (*.f64 (pow.f64 (/.f64 b a) 2) 1) -1)
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(+.f64 -1 (pow.f64 (/.f64 b a) 2))
(-.f64 (+.f64 1 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) 1)
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(+.f64 -1 (pow.f64 (/.f64 b a) 2))
(*.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)) 1)
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(+.f64 -1 (pow.f64 (/.f64 b a) 2))
(*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))))
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(+.f64 -1 (pow.f64 (/.f64 b a) 2))
(*.f64 1 (+.f64 -1 (pow.f64 (/.f64 b a) 2)))
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(+.f64 -1 (pow.f64 (/.f64 b a) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) 2) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))))
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(+.f64 -1 (pow.f64 (/.f64 b a) 2))
(*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) 2))
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(+.f64 -1 (pow.f64 (/.f64 b a) 2))
(.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)))))
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(+.f64 -1 (pow.f64 (/.f64 b a) 2))
(.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)))))
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(+.f64 -1 (pow.f64 (/.f64 b a) 2))
(.f64 (.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) (pow.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)) 1/4)) (pow.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)) 1/4))
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(+.f64 -1 (pow.f64 (/.f64 b a) 2))
(*.f64 (fabs.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) 2)) (fabs.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)))))
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(+.f64 -1 (pow.f64 (/.f64 b a) 2))
(*.f64 (+.f64 (/.f64 b a) 1) (-.f64 (/.f64 b a) 1))
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(+.f64 -1 (pow.f64 (/.f64 b a) 2))
(.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)))))
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(+.f64 -1 (pow.f64 (/.f64 b a) 2))
(/.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 b a) 2) 3) -1) (+.f64 (.f64 (pow.f64 (/.f64 b a) 2) (pow.f64 (/.f64 b a) 2)) (-.f64 1 (.f64 (pow.f64 (/.f64 b a) 2) -1))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (/.f64 b a) 2) 3)) (-.f64 (+.f64 (pow.f64 (/.f64 b a) 4) 1) (*.f64 -1 (pow.f64 (/.f64 b a) 2))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (/.f64 b a) 2) 3)) (+.f64 1 (+.f64 (pow.f64 (/.f64 b a) 2) (pow.f64 (/.f64 b a) 4))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 6)) (+.f64 1 (+.f64 (pow.f64 (/.f64 b a) 2) (pow.f64 (/.f64 b a) 4))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 b a) 2) (pow.f64 (/.f64 b a) 2)) 1) (-.f64 (pow.f64 (/.f64 b a) 2) -1))
(/.f64 (+.f64 (pow.f64 (/.f64 b a) 4) -1) (+.f64 (pow.f64 (/.f64 b a) 2) 1))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 4)) (+.f64 1 (pow.f64 (/.f64 b a) 2)))
(pow.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)) 1)
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(+.f64 -1 (pow.f64 (/.f64 b a) 2))
(pow.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) 2)
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(+.f64 -1 (pow.f64 (/.f64 b a) 2))
(pow.f64 (pow.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)) 3) 1/3)
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(+.f64 -1 (pow.f64 (/.f64 b a) 2))
(pow.f64 (pow.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)) 2) 1/2)
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(+.f64 -1 (pow.f64 (/.f64 b a) 2))
(pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) 3)
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(+.f64 -1 (pow.f64 (/.f64 b a) 2))
(sqrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)) 2))
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(+.f64 -1 (pow.f64 (/.f64 b a) 2))
(fabs.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)))
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(+.f64 -1 (pow.f64 (/.f64 b a) 2))
(fabs.f64 (neg.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))))
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(+.f64 -1 (pow.f64 (/.f64 b a) 2))
(fabs.f64 (neg.f64 (neg.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)))))
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(+.f64 -1 (pow.f64 (/.f64 b a) 2))
(log.f64 (exp.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))))
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(+.f64 -1 (pow.f64 (/.f64 b a) 2))
(cbrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)) 3))
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(+.f64 -1 (pow.f64 (/.f64 b a) 2))
(expm1.f64 (log1p.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))))
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(+.f64 -1 (pow.f64 (/.f64 b a) 2))
(log1p.f64 (expm1.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))))
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(+.f64 -1 (pow.f64 (/.f64 b a) 2))
(exp.f64 (log.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))))
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(+.f64 -1 (pow.f64 (/.f64 b a) 2))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) 1))
(+.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) 0)
(sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)))
(*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) 1))
(+.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) 0)
(sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)))
(*.f64 1 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) 1))
(+.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) 0)
(sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)))) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) 1))
(+.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) 0)
(sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)))
(*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) (cbrt.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) 1))
(+.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) 0)
(sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)))
(*.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))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) 1))
(+.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) 0)
(sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) 1))
(+.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) 0)
(sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) 1))
(+.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) 0)
(sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.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))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) 1))
(+.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) 0)
(sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)))
(pow.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)) 1/2)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) 1))
(+.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) 0)
(sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)))
(pow.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) 1))
(+.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) 0)
(sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)))
(pow.f64 (pow.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)) 3/2) 1/3)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) 1))
(+.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) 0)
(sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)))) 3)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) 1))
(+.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) 0)
(sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)))
(pow.f64 (pow.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)) 1/4) 2)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) 1))
(+.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) 0)
(sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)))
(fabs.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) 1))
(+.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) 0)
(sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) 1))
(+.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) 0)
(sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)))
(cbrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)) 3/2))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) 1))
(+.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) 0)
(sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) 1))
(+.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) 0)
(sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) 1))
(+.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) 0)
(sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) 1))
(+.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) 0)
(sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)))

eval152.0ms (3.6%)

Compiler: Compiled 10537 to 4720 computations (55.2% saved)

prune88.0ms (2.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	503	4	507
Fresh	0	0	0
Picked	1	0	1
Done	2	0	2
Total	506	4	510

Error

Counts

510 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(/.f64 1 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
▶	0.0b	(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
▶	0.0b	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b)))))
▶	1.7b	(sqrt.f64 (fabs.f64 1))

Compiler

Compiled 42 to 34 computations (19% saved)

localize4.0ms (0.1%)

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

localize13.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b)))))
✓	0.3b	(/.f64 (/.f64 b a) (/.f64 a b))

Compiler

Compiled 48 to 15 computations (68.8% saved)

series4.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite54.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

542×	`log-prod_binary64`
540×	`prod-diff_binary64`
258×	`pow2_binary64`
216×	`log-div_binary64`
197×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	222	19
2	3203	19

Stop Event

1×	node limit

Counts

2 → 92

Calls

Call 1

Inputs
(/.f64 (/.f64 b a) (/.f64 a b))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b)))))

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 b (*.f64 (pow.f64 a -1) (/.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 (pow.f64 a -1) 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 (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)) 2) (*.f64 (cbrt.f64 (/.f64 b a)) (/.f64 b a)))))) (#(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)) (*.f64 (sqrt.f64 (/.f64 b a)) (/.f64 b a)))))) (#(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 (pow.f64 a -1) (/.f64 (/.f64 b a) (pow.f64 b -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (*.f64 a a)) 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) b) (pow.f64 a -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b 1) (/.f64 (pow.f64 a -1) (/.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 (sqrt.f64 (/.f64 b a)) a) (/.f64 (sqrt.f64 (/.f64 b a)) (pow.f64 b -1)))))) (#(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)) (pow.f64 b -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (cbrt.f64 (pow.f64 (/.f64 b a) -2))) (/.f64 (pow.f64 a -1) (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 (pow.f64 a -1) (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 (*.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 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) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 2) 1/4)))) (#(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 (-.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 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 (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))))))

simplify69.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

826×	`fma-neg_binary64`
667×	`times-frac_binary64`
569×	`associate-/l*_binary64`
499×	`exp-prod_binary64`
313×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	231	1970
1	559	1578
2	1528	1455
3	6589	1455

Stop Event

1×	node limit

Counts

140 → 114

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))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(+.f64 0 (pow.f64 (/.f64 b a) 2))
(+.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)))))
(+.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)))))
(-.f64 (+.f64 (pow.f64 (/.f64 b a) 2) 1) 1)
(.f64 b (/.f64 b (.f64 a a)))
(.f64 b (.f64 (pow.f64 a -1) (/.f64 b a)))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 (pow.f64 (/.f64 b a) 2) 1)
(*.f64 1 (pow.f64 (/.f64 b a) 2))
(.f64 (.f64 b b) (pow.f64 (pow.f64 a -1) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) (pow.f64 (cbrt.f64 (/.f64 b a)) 4))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) (/.f64 (/.f64 b a) (cbrt.f64 (/.f64 a b))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) (.f64 (cbrt.f64 (/.f64 b a)) (/.f64 b a)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 4) (pow.f64 (cbrt.f64 (/.f64 b a)) 2))
(*.f64 (sqrt.f64 (/.f64 b a)) (pow.f64 (/.f64 a b) -3/2))
(.f64 (sqrt.f64 (/.f64 b a)) (.f64 (sqrt.f64 (/.f64 b a)) (/.f64 b a)))
(*.f64 (/.f64 (neg.f64 b) a) (/.f64 1 (/.f64 (neg.f64 a) b)))
(*.f64 (pow.f64 a -1) (/.f64 (/.f64 b a) (pow.f64 b -1)))
(.f64 (/.f64 b (.f64 a a)) b)
(*.f64 (pow.f64 (sqrt.f64 (/.f64 b a)) 3) (sqrt.f64 (/.f64 b a)))
(.f64 (.f64 (/.f64 b a) b) (pow.f64 a -1))
(*.f64 (/.f64 b 1) (/.f64 (pow.f64 a -1) (/.f64 a b)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) 1) (/.f64 (cbrt.f64 (/.f64 b a)) (/.f64 a b)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 b a)) 1) (pow.f64 (/.f64 b a) 3/2))
(*.f64 (/.f64 (sqrt.f64 (/.f64 b a)) a) (/.f64 (sqrt.f64 (/.f64 b a)) (pow.f64 b -1)))
(.f64 (/.f64 (cbrt.f64 (.f64 b b)) (/.f64 a b)) (/.f64 (cbrt.f64 b) a))
(*.f64 (/.f64 (sqrt.f64 b) (/.f64 a b)) (/.f64 (sqrt.f64 b) a))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) a) (/.f64 (cbrt.f64 (/.f64 b a)) (pow.f64 b -1)))
(*.f64 (/.f64 b (cbrt.f64 (pow.f64 (/.f64 b a) -2))) (/.f64 (pow.f64 a -1) (cbrt.f64 (/.f64 a b))))
(*.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))
(*.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))))
(*.f64 (/.f64 b (sqrt.f64 (/.f64 a b))) (/.f64 (pow.f64 a -1) (sqrt.f64 (/.f64 a b))))
(*.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))))
(*.f64 (/.f64 (/.f64 b a) 1) (/.f64 b a))
(*.f64 (/.f64 (/.f64 b a) (neg.f64 a)) (neg.f64 b))
(.f64 (.f64 (/.f64 b a) (pow.f64 (cbrt.f64 (/.f64 b a)) 2)) (cbrt.f64 (/.f64 b a)))
(.f64 (.f64 (/.f64 b (*.f64 a a)) 1) b)
(.f64 (.f64 (/.f64 b (.f64 a a)) (cbrt.f64 (.f64 b b))) (cbrt.f64 b))
(.f64 (.f64 (/.f64 b (*.f64 a a)) (sqrt.f64 b)) (sqrt.f64 b))
(pow.f64 (/.f64 b a) 2)
(pow.f64 (/.f64 a b) -2)
(pow.f64 (pow.f64 (/.f64 b a) 2) 1)
(pow.f64 (pow.f64 (/.f64 b a) 4) 1/2)
(pow.f64 (pow.f64 (/.f64 b a) 3) 2/3)
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) 3)
(pow.f64 (cbrt.f64 (/.f64 b a)) 6)
(pow.f64 (sqrt.f64 (/.f64 b a)) 4)
(pow.f64 (pow.f64 (/.f64 b a) 6) 1/3)
(pow.f64 (pow.f64 (/.f64 b a) -2) -1)
(pow.f64 (/.f64 (pow.f64 (/.f64 b a) -2) 1) -1)
(neg.f64 (/.f64 (/.f64 b a) (/.f64 (neg.f64 a) b)))
(sqrt.f64 (pow.f64 (/.f64 b a) 4))
(log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 b a) 2))))
(cbrt.f64 (pow.f64 (/.f64 b a) 6))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 b a) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 b a) 2)))
(exp.f64 (*.f64 2 (log.f64 (/.f64 b a))))
(exp.f64 (.f64 (.f64 2 (log.f64 (/.f64 b a))) 1))
(fma.f64 1 (+.f64 (pow.f64 (/.f64 b a) 2) 1) -1)
(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)
(fma.f64 (hypot.f64 1 (/.f64 b a)) (hypot.f64 1 (/.f64 b a)) -1)
(+.f64 0 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(+.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)))))))
(+.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)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))) 1)
(*.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1)
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/6))
(*.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/6) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(*.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))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 4))) (hypot.f64 1 (/.f64 b a)))
(/.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))))
(pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/2)
(pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1)
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3) 1/6)
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 2) 1/4)
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3/2) 1/3)
(pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 3/2)
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/6) 3)
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4) 2)
(fabs.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3/2))
(hypot.f64 1 (sqrt.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) 1))

Outputs
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(pow.f64 (/.f64 b a) 2)
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
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(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))))
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(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/6))
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4) 2)
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(fabs.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3/2))
(hypot.f64 1 (sqrt.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))) 1/2))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) 1))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))
(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 29 to 16 computations (44.8% saved)

series7.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite53.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

903×	`pow1_binary64`
842×	`add-log-exp_binary64`
841×	`log1p-expm1-u_binary64`
841×	`expm1-log1p-u_binary64`
823×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	192	19
2	2320	19

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

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

Outputs

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

simplify68.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

592×	`associate-/r*_binary64`
592×	`associate-/l*_binary64`
501×	`fma-def_binary64`
486×	`fma-neg_binary64`
398×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	195	1558
1	491	1467
2	1598	1384
3	7728	1384

Stop Event

1×	node limit

Counts

104 → 111

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))))))
(-.f64 (+.f64 (pow.f64 (/.f64 b a) 2) 1) 1)
(.f64 b (.f64 (/.f64 1 a) (/.f64 b a)))
(*.f64 (/.f64 b a) (/.f64 b a))
(*.f64 (pow.f64 (/.f64 b a) 2) 1)
(*.f64 1 (pow.f64 (/.f64 b a) 2))
(.f64 (.f64 b b) (*.f64 (/.f64 1 a) (/.f64 1 a)))
(.f64 (.f64 b b) (pow.f64 (/.f64 1 a) 2))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 b a) 4)) (pow.f64 (cbrt.f64 (/.f64 b a)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) (cbrt.f64 (pow.f64 (/.f64 b a) 4)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) (.f64 (cbrt.f64 (/.f64 b a)) (/.f64 b a)))
(.f64 (sqrt.f64 (/.f64 b a)) (.f64 (sqrt.f64 (/.f64 b a)) (/.f64 b a)))
(.f64 (.f64 (/.f64 b a) (sqrt.f64 (/.f64 b a))) (sqrt.f64 (/.f64 b a)))
(.f64 (.f64 (/.f64 b a) b) (/.f64 1 a))
(.f64 (.f64 (/.f64 b a) (pow.f64 (cbrt.f64 (/.f64 b a)) 2)) (cbrt.f64 (/.f64 b a)))
(/.f64 b (*.f64 (/.f64 a b) a))
(/.f64 b (*.f64 a (/.f64 a b)))
(/.f64 (/.f64 b a) (/.f64 a b))
(/.f64 1 (*.f64 (/.f64 a b) (/.f64 a b)))
(/.f64 (.f64 b b) (.f64 a a))
(/.f64 (neg.f64 b) (*.f64 (/.f64 a b) (neg.f64 a)))
(/.f64 (.f64 (neg.f64 b) (neg.f64 b)) (.f64 (neg.f64 a) (neg.f64 a)))
(/.f64 (.f64 (neg.f64 b) b) (.f64 (neg.f64 a) a))
(/.f64 (.f64 (neg.f64 b) 1) (.f64 (neg.f64 a) (/.f64 a b)))
(/.f64 (.f64 b (neg.f64 b)) (.f64 a (neg.f64 a)))
(/.f64 (*.f64 b (/.f64 b a)) a)
(/.f64 (*.f64 (neg.f64 b) (/.f64 b a)) (neg.f64 a))
(/.f64 (*.f64 (/.f64 b a) b) a)
(/.f64 (*.f64 (/.f64 b a) (neg.f64 b)) (neg.f64 a))
(sqrt.f64 (pow.f64 (/.f64 b a) 4))
(log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))
(cbrt.f64 (pow.f64 (/.f64 b a) 6))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 b a) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 b a) 2)))
(exp.f64 (*.f64 2 (log.f64 (/.f64 b a))))
(-.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) 1)
(*.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1)
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(*.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))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.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))
(/.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)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 4))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 b a) 2) 1)))
(pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/2)
(pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1)
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3/2) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) 3)
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4) 2)
(fabs.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))) 1/2))

Outputs
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
1
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1/2 (pow.f64 (/.f64 b a) 2)))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 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 -1/2 (pow.f64 (/.f64 b a) 2))))
(+.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1) (*.f64 -1/8 (pow.f64 (/.f64 b a) 4)))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 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 -1/2 (pow.f64 (/.f64 b a) 2)))))
(+.f64 1 (fma.f64 -1/16 (pow.f64 (/.f64 b a) 6) (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) (*.f64 -1/8 (pow.f64 (/.f64 b a) 4)))))
(fma.f64 -1/16 (pow.f64 (/.f64 b a) 6) (fma.f64 -1/2 (pow.f64 (/.f64 b a) 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 b (/.f64 (sqrt.f64 -1) a))
(+.f64 (.f64 1/2 (/.f64 a (.f64 (sqrt.f64 -1) b))) (/.f64 (*.f64 (sqrt.f64 -1) b) a))
(fma.f64 1/2 (/.f64 a (*.f64 b (sqrt.f64 -1))) (/.f64 (sqrt.f64 -1) (/.f64 a b)))
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (/.f64 (sqrt.f64 -1) (/.f64 a b)))
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 b (/.f64 (sqrt.f64 -1) 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 (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 (sqrt.f64 -1) 3) (pow.f64 b 3)))))
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 -1/8 (/.f64 (/.f64 (/.f64 (pow.f64 a 3) -1) (sqrt.f64 -1)) (pow.f64 b 3)) (/.f64 (sqrt.f64 -1) (/.f64 a b))))
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 (/.f64 (sqrt.f64 -1) a) b (/.f64 (/.f64 -1/8 (pow.f64 (/.f64 b a) 3)) (neg.f64 (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 (sqrt.f64 -1) 3) (pow.f64 b 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 (/.f64 (/.f64 (pow.f64 a 3) -1) (sqrt.f64 -1)) (pow.f64 b 3)) (*.f64 (/.f64 1/16 (pow.f64 b 5)) (/.f64 (pow.f64 a 5) (pow.f64 (sqrt.f64 -1) 5)))))
(fma.f64 (/.f64 (sqrt.f64 -1) a) b (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))) (/.f64 (/.f64 -1/8 (pow.f64 (/.f64 b a) 3)) (neg.f64 (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 b (neg.f64 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)) (/.f64 (neg.f64 (sqrt.f64 -1)) (/.f64 a b)))
(-.f64 (.f64 (/.f64 a b) (/.f64 -1/2 (sqrt.f64 -1))) (.f64 b (/.f64 (sqrt.f64 -1) a)))
(+.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 (.f64 -1/2 a) (*.f64 b (sqrt.f64 -1)))))
(-.f64 (fma.f64 -1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 (/.f64 (/.f64 (/.f64 (pow.f64 a 3) -1) (sqrt.f64 -1)) (pow.f64 b 3)) 1/8)) (/.f64 (sqrt.f64 -1) (/.f64 a b)))
(-.f64 (fma.f64 -1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (/.f64 (/.f64 1/8 (pow.f64 (/.f64 b a) 3)) (neg.f64 (sqrt.f64 -1)))) (*.f64 b (/.f64 (sqrt.f64 -1) a)))
(+.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 (.f64 -1/2 a) (.f64 b (sqrt.f64 -1))))))
(-.f64 (fma.f64 (/.f64 (/.f64 (/.f64 (pow.f64 a 3) -1) (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 -1/2 (/.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))) (/.f64 (/.f64 1/8 (pow.f64 (/.f64 b a) 3)) (neg.f64 (sqrt.f64 -1))))) (.f64 b (/.f64 (sqrt.f64 -1) a)))
(/.f64 (*.f64 (sqrt.f64 -1) b) a)
(/.f64 (sqrt.f64 -1) (/.f64 a b))
(*.f64 b (/.f64 (sqrt.f64 -1) a))
(+.f64 (.f64 1/2 (/.f64 a (.f64 (sqrt.f64 -1) b))) (/.f64 (*.f64 (sqrt.f64 -1) b) a))
(fma.f64 1/2 (/.f64 a (*.f64 b (sqrt.f64 -1))) (/.f64 (sqrt.f64 -1) (/.f64 a b)))
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (/.f64 (sqrt.f64 -1) (/.f64 a b)))
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 b (/.f64 (sqrt.f64 -1) 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 (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 (sqrt.f64 -1) 3) (pow.f64 b 3)))))
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 -1/8 (/.f64 (/.f64 (/.f64 (pow.f64 a 3) -1) (sqrt.f64 -1)) (pow.f64 b 3)) (/.f64 (sqrt.f64 -1) (/.f64 a b))))
(fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (fma.f64 (/.f64 (sqrt.f64 -1) a) b (/.f64 (/.f64 -1/8 (pow.f64 (/.f64 b a) 3)) (neg.f64 (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 (sqrt.f64 -1) 3) (pow.f64 b 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 (/.f64 (/.f64 (pow.f64 a 3) -1) (sqrt.f64 -1)) (pow.f64 b 3)) (*.f64 (/.f64 1/16 (pow.f64 b 5)) (/.f64 (pow.f64 a 5) (pow.f64 (sqrt.f64 -1) 5)))))
(fma.f64 (/.f64 (sqrt.f64 -1) a) b (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))) (/.f64 (/.f64 -1/8 (pow.f64 (/.f64 b a) 3)) (neg.f64 (sqrt.f64 -1))))))
1
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1/2 (pow.f64 (/.f64 b a) 2)))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 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 -1/2 (pow.f64 (/.f64 b a) 2))))
(+.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1) (*.f64 -1/8 (pow.f64 (/.f64 b a) 4)))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 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 -1/2 (pow.f64 (/.f64 b a) 2)))))
(+.f64 1 (fma.f64 -1/16 (pow.f64 (/.f64 b a) 6) (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) (*.f64 -1/8 (pow.f64 (/.f64 b a) 4)))))
(fma.f64 -1/16 (pow.f64 (/.f64 b a) 6) (fma.f64 -1/2 (pow.f64 (/.f64 b a) 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 -1/2 (pow.f64 (/.f64 b a) 2)))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 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 -1/2 (pow.f64 (/.f64 b a) 2))))
(+.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1) (*.f64 -1/8 (pow.f64 (/.f64 b a) 4)))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 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 -1/2 (pow.f64 (/.f64 b a) 2)))))
(+.f64 1 (fma.f64 -1/16 (pow.f64 (/.f64 b a) 6) (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) (*.f64 -1/8 (pow.f64 (/.f64 b a) 4)))))
(fma.f64 -1/16 (pow.f64 (/.f64 b a) 6) (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) (fma.f64 -1/8 (pow.f64 (/.f64 b a) 4) 1)))
(-.f64 (+.f64 (pow.f64 (/.f64 b a) 2) 1) 1)
(pow.f64 (/.f64 b a) 2)
(.f64 b (.f64 (/.f64 1 a) (/.f64 b a)))
(pow.f64 (/.f64 b a) 2)
(*.f64 (/.f64 b a) (/.f64 b a))
(pow.f64 (/.f64 b a) 2)
(*.f64 (pow.f64 (/.f64 b a) 2) 1)
(pow.f64 (/.f64 b a) 2)
(*.f64 1 (pow.f64 (/.f64 b a) 2))
(pow.f64 (/.f64 b a) 2)
(.f64 (.f64 b b) (*.f64 (/.f64 1 a) (/.f64 1 a)))
(pow.f64 (/.f64 b a) 2)
(.f64 (.f64 b b) (pow.f64 (/.f64 1 a) 2))
(pow.f64 (/.f64 b a) 2)
(*.f64 (cbrt.f64 (pow.f64 (/.f64 b a) 4)) (pow.f64 (cbrt.f64 (/.f64 b a)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) (cbrt.f64 (pow.f64 (/.f64 b a) 4)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 b a) 4)) (pow.f64 (cbrt.f64 (/.f64 b a)) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) (.f64 (cbrt.f64 (/.f64 b a)) (/.f64 b a)))
(pow.f64 (/.f64 b a) 2)
(.f64 (sqrt.f64 (/.f64 b a)) (.f64 (sqrt.f64 (/.f64 b a)) (/.f64 b a)))
(pow.f64 (/.f64 b a) 2)
(.f64 (.f64 (/.f64 b a) (sqrt.f64 (/.f64 b a))) (sqrt.f64 (/.f64 b a)))
(pow.f64 (/.f64 b a) 2)
(.f64 (.f64 (/.f64 b a) b) (/.f64 1 a))
(pow.f64 (/.f64 b a) 2)
(.f64 (.f64 (/.f64 b a) (pow.f64 (cbrt.f64 (/.f64 b a)) 2)) (cbrt.f64 (/.f64 b a)))
(pow.f64 (/.f64 b a) 2)
(/.f64 b (*.f64 (/.f64 a b) a))
(pow.f64 (/.f64 b a) 2)
(/.f64 b (*.f64 a (/.f64 a b)))
(pow.f64 (/.f64 b a) 2)
(/.f64 (/.f64 b a) (/.f64 a b))
(pow.f64 (/.f64 b a) 2)
(/.f64 1 (*.f64 (/.f64 a b) (/.f64 a b)))
(pow.f64 (/.f64 b a) 2)
(/.f64 (.f64 b b) (.f64 a a))
(pow.f64 (/.f64 b a) 2)
(/.f64 (neg.f64 b) (*.f64 (/.f64 a b) (neg.f64 a)))
(pow.f64 (/.f64 b a) 2)
(/.f64 (.f64 (neg.f64 b) (neg.f64 b)) (.f64 (neg.f64 a) (neg.f64 a)))
(pow.f64 (/.f64 b a) 2)
(/.f64 (.f64 (neg.f64 b) b) (.f64 (neg.f64 a) a))
(pow.f64 (/.f64 b a) 2)
(/.f64 (.f64 (neg.f64 b) 1) (.f64 (neg.f64 a) (/.f64 a b)))
(pow.f64 (/.f64 b a) 2)
(/.f64 (.f64 b (neg.f64 b)) (.f64 a (neg.f64 a)))
(pow.f64 (/.f64 b a) 2)
(/.f64 (*.f64 b (/.f64 b a)) a)
(pow.f64 (/.f64 b a) 2)
(/.f64 (*.f64 (neg.f64 b) (/.f64 b a)) (neg.f64 a))
(pow.f64 (/.f64 b a) 2)
(/.f64 (*.f64 (/.f64 b a) b) a)
(pow.f64 (/.f64 b a) 2)
(/.f64 (*.f64 (/.f64 b a) (neg.f64 b)) (neg.f64 a))
(pow.f64 (/.f64 b a) 2)
(sqrt.f64 (pow.f64 (/.f64 b a) 4))
(pow.f64 (/.f64 b a) 2)
(log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))
(pow.f64 (/.f64 b a) 2)
(cbrt.f64 (pow.f64 (/.f64 b a) 6))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 b a) 2)))
(pow.f64 (/.f64 b a) 2)
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 b a) 2)))
(pow.f64 (/.f64 b a) 2)
(exp.f64 (*.f64 2 (log.f64 (/.f64 b a))))
(pow.f64 (/.f64 b a) 2)
(-.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) 1)
(+.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) -1)
(+.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 0)
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(*.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(+.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) -1)
(+.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 0)
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1)
(+.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) -1)
(+.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 0)
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(*.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))
(+.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) -1)
(+.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 0)
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(*.f64 (fabs.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(+.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) -1)
(+.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 0)
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.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))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(*.f64 (fabs.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (sqrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(/.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)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 6))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 b a) 2) (+.f64 1 (pow.f64 (/.f64 b a) 4)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 4))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 b a) 2) 1)))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 4))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 b a) 2))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 4))) (hypot.f64 1 (/.f64 b a)))
(pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/2)
(+.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) -1)
(+.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 0)
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1)
(+.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) -1)
(+.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 0)
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3/2))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) 3)
(+.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) -1)
(+.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 0)
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4) 2)
(+.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) -1)
(+.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 0)
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(fabs.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(+.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) -1)
(+.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 0)
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(+.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) -1)
(+.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 0)
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(+.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) -1)
(+.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 0)
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(+.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) -1)
(+.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 0)
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))) 1/2))
(pow.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))))

localize31.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

series9.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

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

rewrite66.0ms (1.6%)

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	46
1	243	38
2	3076	38

Stop Event

1×	node limit

Counts

3 → 152

Calls

Call 1

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

Outputs

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

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

simplify150.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

817×	`associate-/l*_binary64`
281×	`distribute-rgt-in_binary64`
272×	`distribute-lft-in_binary64`
255×	`sqr-pow_binary64`
219×	`exp-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	471	4756
1	1199	4415
2	3734	4328

Stop Event

1×	node limit

Counts

224 → 298

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)))))
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(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/2) 1)
(pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) -1)
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3/2) -1/3)
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3) -1/6)
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -2) 1/4)
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -3) 1/6)
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -3/2) 1/3)
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/6) -3)
(pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) -3/2)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) 3/2)
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/6) 3)
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4) -2)
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/4) 2)
(pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/2)
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1) -1)
(fabs.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/2))
(log.f64 (exp.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/2))))
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -3/2))
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/2)))
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/2)))
(exp.f64 (*.f64 -1/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) 1/2))
(exp.f64 (.f64 (.f64 -1/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) 1))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) -1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -3/2)) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/6)) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/4)) 2))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))) -1/2))
(exp.f64 (.f64 (.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))) -1) 1/2))
(exp.f64 (.f64 (.f64 (neg.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) 1) 1/2))
(exp.f64 (.f64 (.f64 (neg.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) 1/2) 1))
(exp.f64 (.f64 (.f64 (*.f64 -1/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) 1) 1))
(exp.f64 (.f64 (.f64 (*.f64 -1/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) -1) -1))
(exp.f64 (.f64 (.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) 1) -1))
(exp.f64 (.f64 (.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))) 1) -1/2))
(+.f64 0 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2))))) 1)
(*.f64 1 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1)
(*.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/2) (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -2)) (/.f64 1 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(*.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/4) (sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -3/2)))
(*.f64 -1 (/.f64 1 (neg.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(*.f64 (sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -3/2)) (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/4))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 6))) (+.f64 1 (+.f64 (pow.f64 (/.f64 b a) 2) (pow.f64 (/.f64 b a) 4))))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 4))) (+.f64 1 (pow.f64 (/.f64 b a) 2)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) -2) (/.f64 1 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(*.f64 (pow.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 5/6) (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/6))
(pow.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1)
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/2) 2)
(pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) -2)
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 2) -1/2)
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3) -1/3)
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -2) 1/2)
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -3) 1/3)
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -3/2) 2/3)
(pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) -3)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) 3)
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/6) 6)
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/4) 4)
(pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1)
(pow.f64 (neg.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) -1)
(sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(exp.f64 (neg.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))) -1))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) 1))
(exp.f64 (.f64 (.f64 -1/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) 2))
(exp.f64 (.f64 (.f64 -2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) 1/2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -3)) 1/3))
(exp.f64 (.f64 (.f64 1/3 (neg.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))))) 3))
(exp.f64 (.f64 (.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))) -1) 1))
(exp.f64 (.f64 (.f64 (neg.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) 1) 1))
(exp.f64 (.f64 (.f64 (neg.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) 1/2) 2))
(exp.f64 (.f64 (.f64 (*.f64 -1/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) 1) 2))
(exp.f64 (.f64 (.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))) 1) -1))

Outputs
1
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 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 -1/2 (/.f64 (.f64 b b) (*.f64 a a)))))
(+.f64 1 (fma.f64 -1/8 (pow.f64 (/.f64 b a) 4) (*.f64 -1/2 (pow.f64 (/.f64 b a) 2))))
(+.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1) (*.f64 -1/8 (pow.f64 (/.f64 b a) 4)))
(+.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 -1/2 (/.f64 (.f64 b b) (*.f64 a a))))))
(+.f64 1 (fma.f64 -1/16 (pow.f64 (/.f64 b a) 6) (fma.f64 -1/8 (pow.f64 (/.f64 b a) 4) (*.f64 -1/2 (pow.f64 (/.f64 b a) 2)))))
(+.f64 1 (fma.f64 -1/16 (pow.f64 (/.f64 b a) 6) (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) (*.f64 -1/8 (pow.f64 (/.f64 b a) 4)))))
(/.f64 (*.f64 (sqrt.f64 -1) b) a)
(/.f64 (sqrt.f64 -1) (/.f64 a b))
(/.f64 b (/.f64 a (sqrt.f64 -1)))
(*.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 b (/.f64 a (sqrt.f64 -1))))
(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 (/.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 b (/.f64 a (sqrt.f64 -1)))))
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 (/.f64 b a) (sqrt.f64 -1))) (/.f64 (/.f64 -1/8 (pow.f64 (/.f64 b a) 3)) (neg.f64 (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 b (/.f64 a (sqrt.f64 -1)))) (fma.f64 1/16 (/.f64 (pow.f64 a 5) (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) (.f64 (/.f64 -1/8 (*.f64 -1 (sqrt.f64 -1))) (/.f64 (pow.f64 a 3) (pow.f64 b 3)))))
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (.f64 (/.f64 b a) (sqrt.f64 -1))) (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 (/.f64 b a) 3)) (neg.f64 (sqrt.f64 -1)))))
(.f64 -1 (/.f64 (.f64 (sqrt.f64 -1) b) a))
(neg.f64 (/.f64 (sqrt.f64 -1) (/.f64 a b)))
(/.f64 (neg.f64 (*.f64 b (sqrt.f64 -1))) a)
(*.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 b (/.f64 a (sqrt.f64 -1))))
(-.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 (pow.f64 a 3) (.f64 -1 (*.f64 (sqrt.f64 -1) (pow.f64 b 3)))) 1/8)) (/.f64 b (/.f64 a (sqrt.f64 -1))))
(-.f64 (fma.f64 -1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (/.f64 (/.f64 1/8 (pow.f64 (/.f64 b a) 3)) (neg.f64 (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 (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 -1/16 (/.f64 (pow.f64 a 5) (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) (.f64 -1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1))))) (/.f64 b (/.f64 a (sqrt.f64 -1))))
(+.f64 (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 (/.f64 1/8 (pow.f64 (/.f64 b a) 3)) (neg.f64 (sqrt.f64 -1))) (.f64 (/.f64 b a) (sqrt.f64 -1))))
(/.f64 (*.f64 (sqrt.f64 -1) b) a)
(/.f64 (sqrt.f64 -1) (/.f64 a b))
(/.f64 b (/.f64 a (sqrt.f64 -1)))
(*.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 b (/.f64 a (sqrt.f64 -1))))
(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 (/.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 b (/.f64 a (sqrt.f64 -1)))))
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 (/.f64 b a) (sqrt.f64 -1))) (/.f64 (/.f64 -1/8 (pow.f64 (/.f64 b a) 3)) (neg.f64 (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)))))))
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1
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1
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1
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1
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1
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(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -2)) (/.f64 1 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -2)) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(*.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/4) (sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -3/2)))
(*.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/4) (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -3/4))
(*.f64 -1 (/.f64 1 (neg.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(*.f64 (sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -3/2)) (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 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -3/2)))
(*.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/4) (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -3/4))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 6))) (+.f64 1 (+.f64 (pow.f64 (/.f64 b a) 2) (pow.f64 (/.f64 b a) 4))))
(/.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 b a) 2) (pow.f64 (/.f64 b a) 4))) (-.f64 1 (pow.f64 (/.f64 b a) 6)))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 4))) (+.f64 1 (pow.f64 (/.f64 b a) 2)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 b a) 2)) (-.f64 1 (pow.f64 (/.f64 b a) 4)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) -2) (/.f64 1 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(*.f64 (pow.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 5/6) (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/6))
(*.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/6) (pow.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 5/6))
(pow.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1)
(/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/2) 2)
(/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) -2)
(/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 2) -1/2)
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3) -1/3)
(*.f64 (pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3) -1/6) (pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3) -1/6))
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -2) 1/2)
(/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -3) 1/3)
(/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -3/2) 2/3)
(/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) -3)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) 3)
(/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/6) 6)
(/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1/4) 4)
(/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -1)
(/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(pow.f64 (neg.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))) -1)
(/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -2))
(/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(log.f64 (exp.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))
(/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -3))
(/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(exp.f64 (neg.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))))
(/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))) -1))
(/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) 1))
(/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(exp.f64 (.f64 (.f64 -1/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) 2))
(/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(exp.f64 (.f64 (.f64 -2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) 1/2))
(/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) -3)) 1/3))
(/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(exp.f64 (.f64 (.f64 1/3 (neg.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))))) 3))
(/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(exp.f64 (.f64 (.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))) -1) 1))
(/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(exp.f64 (.f64 (.f64 (neg.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) 1) 1))
(/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(exp.f64 (.f64 (.f64 (neg.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) 1/2) 2))
(/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(exp.f64 (.f64 (.f64 (*.f64 -1/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) 1) 2))
(/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(exp.f64 (.f64 (.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))) 1) -1))
(/.f64 1 (-.f64 1 (pow.f64 (/.f64 b a) 2)))

eval383.0ms (9%)

Compiler: Compiled 10616 to 7540 computations (29% saved)

prune112.0ms (2.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	555	4	559
Fresh	0	0	0
Picked	1	0	1
Done	3	0	3
Total	559	4	563

Error

Counts

563 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.7b	(+.f64 1 (*.f64 -1/2 (pow.f64 (/.f64 b a) 2)))
▶	14.7b	(+.f64 1 (.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a))))
▶	0.0b	(sqrt.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))))
	1.7b	1

Compiler

Compiled 39 to 29 computations (25.6% saved)

localize25.0ms (0.6%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))))
	0.3b	(/.f64 (/.f64 b a) (/.f64 a b))

Compiler

Compiled 37 to 11 computations (70.3% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite50.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

540×	`prod-diff_binary64`
524×	`log-prod_binary64`
294×	`pow-prod-down_binary64`
249×	`pow2_binary64`
212×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	15
1	199	12
2	2847	12

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

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

Outputs

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

simplify50.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

827×	`times-frac_binary64`
341×	`cancel-sign-sub-inv_binary64`
327×	`associate-/l*_binary64`
289×	`associate-/r*_binary64`
268×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	138	1180
1	335	1090
2	971	1017
3	5287	1005

Stop Event

1×	node limit

Counts

54 → 84

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))))))
(+.f64 0 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(+.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)))))))
(+.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)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))) 1)
(*.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1)
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/6))
(*.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/6) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(*.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))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 4))) (hypot.f64 1 (/.f64 b a)))
(/.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))))
(pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/2)
(pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1)
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 2) 1/4)
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3) 1/6)
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3/2) 1/3)
(pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 3/2)
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/6) 3)
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4) 2)
(fabs.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3/2))
(hypot.f64 1 (sqrt.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(exp.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))) 1/2))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) 1))

Outputs
1
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 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 -1/2 (/.f64 (.f64 b b) (*.f64 a a)))))
(+.f64 1 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) (*.f64 -1/8 (pow.f64 (/.f64 b a) 4))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 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 -1/2 (/.f64 (.f64 b b) (*.f64 a a))))))
(+.f64 1 (fma.f64 -1/16 (pow.f64 (/.f64 b a) 6) (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) (*.f64 -1/8 (pow.f64 (/.f64 b a) 4)))))
(fma.f64 -1/16 (pow.f64 (/.f64 b a) 6) (fma.f64 -1/2 (pow.f64 (/.f64 b a) 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 1/2 (/.f64 a (.f64 (sqrt.f64 -1) b))) (/.f64 (*.f64 (sqrt.f64 -1) b) a))
(fma.f64 1/2 (/.f64 a (*.f64 b (sqrt.f64 -1))) (/.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)))
(+.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 (.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 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (/.f64 (/.f64 -1/8 (pow.f64 (/.f64 b a) 3)) (neg.f64 (sqrt.f64 -1)))))
(fma.f64 (/.f64 (sqrt.f64 -1) a) b (fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 (pow.f64 (/.f64 a b) 3) (/.f64 1/8 (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 (.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 (sqrt.f64 -1) a) b (/.f64 (/.f64 -1/8 (pow.f64 (/.f64 b a) 3)) (neg.f64 (sqrt.f64 -1))))))
(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 b (/.f64 (sqrt.f64 -1) a)))))
(.f64 -1 (/.f64 (.f64 (sqrt.f64 -1) b) a))
(neg.f64 (/.f64 (sqrt.f64 -1) (/.f64 a b)))
(/.f64 (neg.f64 (*.f64 b (sqrt.f64 -1))) a)
(*.f64 (/.f64 (sqrt.f64 -1) a) (neg.f64 b))
(*.f64 b (neg.f64 (/.f64 (sqrt.f64 -1) a)))
(+.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))))
(-.f64 (.f64 (/.f64 -1/2 (sqrt.f64 -1)) (/.f64 a b)) (.f64 (/.f64 (sqrt.f64 -1) a) b))
(-.f64 (.f64 (/.f64 a b) (/.f64 -1/2 (sqrt.f64 -1))) (.f64 b (/.f64 (sqrt.f64 -1) a)))
(+.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 (.f64 -1/2 a) (*.f64 b (sqrt.f64 -1)))))
(-.f64 (fma.f64 -1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (/.f64 (/.f64 (.f64 (pow.f64 a 3) 1/8) (pow.f64 b 3)) (.f64 -1 (sqrt.f64 -1)))) (*.f64 (/.f64 (sqrt.f64 -1) a) b))
(-.f64 (fma.f64 -1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (/.f64 (/.f64 1/8 (pow.f64 (/.f64 b a) 3)) (neg.f64 (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 b (/.f64 (sqrt.f64 -1) a))))
(+.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 (.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 b 5)) (/.f64 (pow.f64 a 5) (pow.f64 (sqrt.f64 -1) 5))))) (.f64 (/.f64 (sqrt.f64 -1) a) b))
(-.f64 (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))) (/.f64 (/.f64 1/8 (pow.f64 (/.f64 b a) 3)) (neg.f64 (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 (sqrt.f64 -1) 5)) (/.f64 (pow.f64 a 5) (pow.f64 b 5)) (.f64 b (/.f64 (sqrt.f64 -1) a))))
(/.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 1/2 (/.f64 a (.f64 (sqrt.f64 -1) b))) (/.f64 (*.f64 (sqrt.f64 -1) b) a))
(fma.f64 1/2 (/.f64 a (*.f64 b (sqrt.f64 -1))) (/.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)))
(+.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 (.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 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (/.f64 (/.f64 -1/8 (pow.f64 (/.f64 b a) 3)) (neg.f64 (sqrt.f64 -1)))))
(fma.f64 (/.f64 (sqrt.f64 -1) a) b (fma.f64 1/2 (/.f64 (/.f64 a b) (sqrt.f64 -1)) (*.f64 (pow.f64 (/.f64 a b) 3) (/.f64 1/8 (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 (.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 (sqrt.f64 -1) a) b (/.f64 (/.f64 -1/8 (pow.f64 (/.f64 b a) 3)) (neg.f64 (sqrt.f64 -1))))))
(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 b (/.f64 (sqrt.f64 -1) a)))))
1
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 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 -1/2 (/.f64 (.f64 b b) (*.f64 a a)))))
(+.f64 1 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) (*.f64 -1/8 (pow.f64 (/.f64 b a) 4))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 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 -1/2 (/.f64 (.f64 b b) (*.f64 a a))))))
(+.f64 1 (fma.f64 -1/16 (pow.f64 (/.f64 b a) 6) (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) (*.f64 -1/8 (pow.f64 (/.f64 b a) 4)))))
(fma.f64 -1/16 (pow.f64 (/.f64 b a) 6) (fma.f64 -1/2 (pow.f64 (/.f64 b a) 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 -1/2 (/.f64 (.f64 b b) (*.f64 a a))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 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 -1/2 (/.f64 (.f64 b b) (*.f64 a a)))))
(+.f64 1 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) (*.f64 -1/8 (pow.f64 (/.f64 b a) 4))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 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 -1/2 (/.f64 (.f64 b b) (*.f64 a a))))))
(+.f64 1 (fma.f64 -1/16 (pow.f64 (/.f64 b a) 6) (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) (*.f64 -1/8 (pow.f64 (/.f64 b a) 4)))))
(fma.f64 -1/16 (pow.f64 (/.f64 b a) 6) (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) (fma.f64 -1/8 (pow.f64 (/.f64 b a) 4) 1)))
(+.f64 0 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(+.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)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))))
(+.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)))))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))) 1)
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(*.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1)
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/6))
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/6) 3)
(*.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/6) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/6))
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/6) 3)
(*.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))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 4))) (hypot.f64 1 (/.f64 b a)))
(/.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))))
(pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/2)
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 1)
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 2) 1/4)
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3) 1/6)
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3/2))
(pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) 3/2)
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/6) 3)
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))) (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/6))
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 1/4) 2)
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(fabs.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)) 3/2))
(hypot.f64 1 (sqrt.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))))
(sqrt.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2)))
(exp.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))))
(pow.f64 (exp.f64 1/2) (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))))
(sqrt.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))) 1/2))
(pow.f64 (exp.f64 1/2) (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))))
(sqrt.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))) 1))
(pow.f64 (exp.f64 1/2) (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2))))
(sqrt.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 b a) 2)))))

localize12.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a))))
✓	29.3b	(/.f64 (.f64 b b) (.f64 a a))

Compiler

Compiled 39 to 13 computations (66.7% saved)

series3.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite61.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

497×	`log-prod_binary64`
383×	`prod-diff_binary64`
300×	`pow-prod-down_binary64`
264×	`pow2_binary64`
251×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	215	18
2	2894	18

Stop Event

1×	node limit

Counts

2 → 98

Calls

Call 1

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

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 (exp.f64 (log1p.f64 (pow.f64 (/.f64 b a) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (/.f64 1 (/.f64 a (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (*.f64 b (pow.f64 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 (/.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 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) (cbrt.f64 (pow.f64 (/.f64 b a) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 b a) 4)) (pow.f64 (cbrt.f64 (/.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 b) b) (*.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b a) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b (neg.f64 b)) (/.f64 1 (*.f64 a (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a -2) (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (/.f64 a b)) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b 1) (/.f64 b (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cbrt.f64 b) b) 1) (/.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (/.f64 b (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cbrt.f64 b) b) a) (/.f64 (pow.f64 (cbrt.f64 b) 2) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (*.f64 a a)) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (*.f64 (cbrt.f64 a) a)) (/.f64 b (pow.f64 (cbrt.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (cbrt.f64 a) a)) (/.f64 (*.f64 b b) (pow.f64 (cbrt.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cbrt.f64 b) b) (*.f64 (cbrt.f64 a) a)) (pow.f64 (cbrt.f64 (/.f64 b a)) 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) 6) 1/3)))) (#(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 (/.f64 b a) 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 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) 1/3)))) (#(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 b) (*.f64 a (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 cbrt.f64 (/.f64 (pow.f64 b 6) (pow.f64 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 (log.f64 (pow.f64 (/.f64 b a) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 b a) -2)) -1))))) (#(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 -.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 (/.f64 b a) 2) -1/2 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 (pow.f64 (/.f64 b a) 2)))) (/.f64 (*.f64 1/4 (pow.f64 (/.f64 b a) 4)) (+.f64 1 (*.f64 1/2 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (pow.f64 (/.f64 b a) 2) -1/2 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (/.f64 b a) 2) -1/2 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (pow.f64 (/.f64 b a) 2) -1/2 1)) (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 b a) 2) -1/2 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 b a) 2) -1/2 1) 2)) (cbrt.f64 (fma.f64 (pow.f64 (/.f64 b a) 2) -1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (*.f64 (sqrt.f64 -1/2) (/.f64 b a))) (hypot.f64 1 (*.f64 (sqrt.f64 -1/2) (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/8 (pow.f64 (/.f64 b a) 6) 1) (/.f64 1 (+.f64 1 (fma.f64 1/4 (pow.f64 (/.f64 b a) 4) (*.f64 1/2 (pow.f64 (/.f64 b a) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 1/4 (pow.f64 (/.f64 b a) 4))) (/.f64 1 (+.f64 1 (*.f64 1/2 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (fma.f64 1/4 (pow.f64 (/.f64 b a) 4) (*.f64 1/2 (pow.f64 (/.f64 b a) 2)))) (fma.f64 -1/8 (pow.f64 (/.f64 b a) 6) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 1/2 (pow.f64 (/.f64 b a) 2))) (-.f64 1 (*.f64 1/4 (pow.f64 (/.f64 b a) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/8 (pow.f64 (/.f64 b a) 6) 1) (+.f64 1 (fma.f64 1/4 (pow.f64 (/.f64 b a) 4) (*.f64 1/2 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/8 (pow.f64 (/.f64 b a) 6) 1) (fma.f64 1/4 (pow.f64 (/.f64 b a) 4) (+.f64 1 (*.f64 1/2 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 1/4 (pow.f64 (/.f64 b a) 4))) (+.f64 1 (*.f64 1/2 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 -1/8 (pow.f64 (/.f64 b a) 6) 1)) (neg.f64 (+.f64 1 (fma.f64 1/4 (pow.f64 (/.f64 b a) 4) (*.f64 1/2 (pow.f64 (/.f64 b a) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (*.f64 1/4 (pow.f64 (/.f64 b a) 4)))) (neg.f64 (+.f64 1 (*.f64 1/2 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/4 (pow.f64 (/.f64 b a) 4) -1) (fma.f64 (pow.f64 (/.f64 b a) 2) -1/2 -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (pow.f64 (/.f64 b a) 2) -1/2 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 b a) 2) -1/2 1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 b a) 2) -1/2 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (/.f64 b a) 2) -1/2 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (*.f64 (sqrt.f64 -1/2) (/.f64 b a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (fma.f64 1/4 (pow.f64 (/.f64 b a) 4) (*.f64 1/2 (pow.f64 (/.f64 b a) 2)))) (fma.f64 -1/8 (pow.f64 (/.f64 b a) 6) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (*.f64 1/2 (pow.f64 (/.f64 b a) 2))) (-.f64 1 (*.f64 1/4 (pow.f64 (/.f64 b a) 4)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 b a) 2) -1/2 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (pow.f64 (/.f64 b a) 2) -1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 (/.f64 b a) 2) -1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 b a) 2) -1/2 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (pow.f64 (/.f64 b a) 2) -1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (pow.f64 (/.f64 b a) 2) -1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 -1/2 (pow.f64 (/.f64 b a) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (/.f64 -1/2 (pow.f64 (/.f64 b a) -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log1p.f64 (/.f64 -1/2 (pow.f64 (/.f64 b a) -2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (/.f64 -1/2 (pow.f64 (/.f64 b a) -2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 1 (*.f64 (sqrt.f64 -1/2) (/.f64 b a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 -1/2 (pow.f64 (/.f64 b a) -2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b b) (*.f64 (pow.f64 a -2) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 b a) 2) -1/2 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -1/2 (pow.f64 (/.f64 b a) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1/2 (pow.f64 (/.f64 b a) -2)) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -1/2 (pow.f64 (/.f64 b a) -2))) (cbrt.f64 (*.f64 1/4 (pow.f64 (/.f64 b a) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (/.f64 b a) 4))) (cbrt.f64 (/.f64 -1/2 (pow.f64 (/.f64 b a) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 b a) 4)) (*.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 -1/2) (/.f64 b a)) (*.f64 (sqrt.f64 -1/2) (/.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 b a) (*.f64 (/.f64 b a) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 b b) -1/2) (pow.f64 a -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1/2 a) (/.f64 b (/.f64 a b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1/2 (*.f64 (cbrt.f64 a) a)) (/.f64 (*.f64 b b) (pow.f64 (cbrt.f64 a) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (cbrt.f64 (pow.f64 (/.f64 b a) 4))) (pow.f64 (cbrt.f64 (/.f64 b a)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (/.f64 b a)) (/.f64 b a) 1)))))

simplify101.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

455×	`associate-/l*_binary64`
432×	`times-frac_binary64`
392×	`associate-*l/_binary64`
303×	`associate-*r/_binary64`
289×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	236	2226
1	559	1746
2	1678	1732
3	7163	1732

Stop Event

1×	node limit

Counts

146 → 130

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 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.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 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.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 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 0 (pow.f64 (/.f64 b a) 2))
(+.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)))))
(+.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)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 b a) 2))) 1)
(*.f64 b (/.f64 1 (/.f64 a (/.f64 b a))))
(.f64 b (.f64 b (pow.f64 a -2)))
(.f64 (.f64 b b) (pow.f64 a -2))
(*.f64 (pow.f64 (/.f64 b a) 2) 1)
(*.f64 1 (pow.f64 (/.f64 b a) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) (cbrt.f64 (pow.f64 (/.f64 b a) 4)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 b a) 4)) (pow.f64 (cbrt.f64 (/.f64 b a)) 2))
(.f64 (.f64 (cbrt.f64 b) b) (*.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 a -2)))
(*.f64 (/.f64 b a) (/.f64 b a))
(.f64 (.f64 b (neg.f64 b)) (/.f64 1 (*.f64 a (neg.f64 a))))
(.f64 (pow.f64 a -2) (.f64 b b))
(*.f64 (/.f64 b (/.f64 a b)) (/.f64 1 a))
(.f64 (/.f64 b 1) (/.f64 b (.f64 a a)))
(.f64 (/.f64 (.f64 (cbrt.f64 b) b) 1) (/.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 a a)))
(*.f64 (/.f64 1 a) (/.f64 b (/.f64 a b)))
(.f64 (/.f64 (.f64 (cbrt.f64 b) b) a) (/.f64 (pow.f64 (cbrt.f64 b) 2) a))
(.f64 (/.f64 b (.f64 a a)) b)
(.f64 (/.f64 b (.f64 (cbrt.f64 a) a)) (/.f64 b (pow.f64 (cbrt.f64 a) 2)))
(.f64 (/.f64 1 (.f64 (cbrt.f64 a) a)) (/.f64 (*.f64 b b) (pow.f64 (cbrt.f64 a) 2)))
(.f64 (/.f64 (.f64 (cbrt.f64 b) b) (*.f64 (cbrt.f64 a) a)) (pow.f64 (cbrt.f64 (/.f64 b a)) 2))
(pow.f64 (pow.f64 (/.f64 b a) 2) 1)
(pow.f64 (pow.f64 (/.f64 b a) 4) 1/2)
(pow.f64 (pow.f64 (/.f64 b a) 6) 1/3)
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) 3)
(pow.f64 (/.f64 b a) 2)
(pow.f64 (pow.f64 (/.f64 b a) -2) -1)
(pow.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 6)) 1/3)
(pow.f64 (/.f64 (pow.f64 (/.f64 b a) -2) 1) -1)
(neg.f64 (/.f64 (.f64 b b) (.f64 a (neg.f64 a))))
(sqrt.f64 (pow.f64 (/.f64 b a) 4))
(log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 b a) 2))))
(cbrt.f64 (pow.f64 (/.f64 b a) 6))
(cbrt.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 6)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 b a) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 b a) 2)))
(exp.f64 (*.f64 2 (log.f64 (/.f64 b a))))
(exp.f64 (.f64 (.f64 2 (log.f64 (/.f64 b a))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 b a) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2)) 3))
(exp.f64 (*.f64 (log.f64 (/.f64 b a)) 2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 b a) -2)) -1))
(exp.f64 (.f64 (.f64 (*.f64 2 (log.f64 (/.f64 b a))) 1) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 (/.f64 b a) 2) -1/2 1))) 1)
(-.f64 (/.f64 1 (+.f64 1 (.f64 1/2 (pow.f64 (/.f64 b a) 2)))) (/.f64 (.f64 1/4 (pow.f64 (/.f64 b a) 4)) (+.f64 1 (*.f64 1/2 (pow.f64 (/.f64 b a) 2)))))
(*.f64 1 (fma.f64 (pow.f64 (/.f64 b a) 2) -1/2 1))
(*.f64 (fma.f64 (pow.f64 (/.f64 b a) 2) -1/2 1) 1)
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 (/.f64 b a) 2) -1/2 1)) (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 b a) 2) -1/2 1) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 b a) 2) -1/2 1) 2)) (cbrt.f64 (fma.f64 (pow.f64 (/.f64 b a) 2) -1/2 1)))
(.f64 (hypot.f64 1 (.f64 (sqrt.f64 -1/2) (/.f64 b a))) (hypot.f64 1 (*.f64 (sqrt.f64 -1/2) (/.f64 b a))))
(.f64 (fma.f64 -1/8 (pow.f64 (/.f64 b a) 6) 1) (/.f64 1 (+.f64 1 (fma.f64 1/4 (pow.f64 (/.f64 b a) 4) (.f64 1/2 (pow.f64 (/.f64 b a) 2))))))
(.f64 (-.f64 1 (.f64 1/4 (pow.f64 (/.f64 b a) 4))) (/.f64 1 (+.f64 1 (*.f64 1/2 (pow.f64 (/.f64 b a) 2)))))
(/.f64 1 (/.f64 (+.f64 1 (fma.f64 1/4 (pow.f64 (/.f64 b a) 4) (*.f64 1/2 (pow.f64 (/.f64 b a) 2)))) (fma.f64 -1/8 (pow.f64 (/.f64 b a) 6) 1)))
(/.f64 1 (/.f64 (+.f64 1 (.f64 1/2 (pow.f64 (/.f64 b a) 2))) (-.f64 1 (.f64 1/4 (pow.f64 (/.f64 b a) 4)))))
(/.f64 (fma.f64 -1/8 (pow.f64 (/.f64 b a) 6) 1) (+.f64 1 (fma.f64 1/4 (pow.f64 (/.f64 b a) 4) (*.f64 1/2 (pow.f64 (/.f64 b a) 2)))))
(/.f64 (fma.f64 -1/8 (pow.f64 (/.f64 b a) 6) 1) (fma.f64 1/4 (pow.f64 (/.f64 b a) 4) (+.f64 1 (*.f64 1/2 (pow.f64 (/.f64 b a) 2)))))
(/.f64 (-.f64 1 (.f64 1/4 (pow.f64 (/.f64 b a) 4))) (+.f64 1 (.f64 1/2 (pow.f64 (/.f64 b a) 2))))
(/.f64 (neg.f64 (fma.f64 -1/8 (pow.f64 (/.f64 b a) 6) 1)) (neg.f64 (+.f64 1 (fma.f64 1/4 (pow.f64 (/.f64 b a) 4) (*.f64 1/2 (pow.f64 (/.f64 b a) 2))))))
(/.f64 (neg.f64 (-.f64 1 (.f64 1/4 (pow.f64 (/.f64 b a) 4)))) (neg.f64 (+.f64 1 (.f64 1/2 (pow.f64 (/.f64 b a) 2)))))
(/.f64 (fma.f64 1/4 (pow.f64 (/.f64 b a) 4) -1) (fma.f64 (pow.f64 (/.f64 b a) 2) -1/2 -1))
(pow.f64 (fma.f64 (pow.f64 (/.f64 b a) 2) -1/2 1) 1)
(pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 b a) 2) -1/2 1) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 b a) 2) -1/2 1) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (/.f64 b a) 2) -1/2 1)) 3)
(pow.f64 (hypot.f64 1 (*.f64 (sqrt.f64 -1/2) (/.f64 b a))) 2)
(pow.f64 (/.f64 (+.f64 1 (fma.f64 1/4 (pow.f64 (/.f64 b a) 4) (*.f64 1/2 (pow.f64 (/.f64 b a) 2)))) (fma.f64 -1/8 (pow.f64 (/.f64 b a) 6) 1)) -1)
(pow.f64 (/.f64 (+.f64 1 (.f64 1/2 (pow.f64 (/.f64 b a) 2))) (-.f64 1 (.f64 1/4 (pow.f64 (/.f64 b a) 4)))) -1)
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 b a) 2) -1/2 1) 2))
(log.f64 (exp.f64 (fma.f64 (pow.f64 (/.f64 b a) 2) -1/2 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 (/.f64 b a) 2) -1/2 1))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 b a) 2) -1/2 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 (/.f64 b a) 2) -1/2 1)))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 (/.f64 b a) 2) -1/2 1)))
(exp.f64 (log1p.f64 (/.f64 -1/2 (pow.f64 (/.f64 b a) -2))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 -1/2 (pow.f64 (/.f64 b a) -2))) 1))
(exp.f64 (.f64 (.f64 3 (log1p.f64 (/.f64 -1/2 (pow.f64 (/.f64 b a) -2)))) 1/3))
(exp.f64 (.f64 (.f64 1/3 (log1p.f64 (/.f64 -1/2 (pow.f64 (/.f64 b a) -2)))) 3))
(exp.f64 (.f64 (log.f64 (hypot.f64 1 (.f64 (sqrt.f64 -1/2) (/.f64 b a)))) 2))
(exp.f64 (.f64 (.f64 (log1p.f64 (/.f64 -1/2 (pow.f64 (/.f64 b a) -2))) 1) 1))
(fma.f64 (.f64 b b) (.f64 (pow.f64 a -2) -1/2) 1)
(fma.f64 (pow.f64 (/.f64 b a) 2) -1/2 1)
(fma.f64 1 (/.f64 -1/2 (pow.f64 (/.f64 b a) -2)) 1)
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(fma.f64 (/.f64 -1/2 (pow.f64 (/.f64 b a) -2)) 1 1)
(fma.f64 (cbrt.f64 (/.f64 -1/2 (pow.f64 (/.f64 b a) -2))) (cbrt.f64 (*.f64 1/4 (pow.f64 (/.f64 b a) 4))) 1)
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (/.f64 b a) 4))) (cbrt.f64 (/.f64 -1/2 (pow.f64 (/.f64 b a) -2))) 1)
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 b a) 4)) (*.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) -1/2) 1)
(fma.f64 (.f64 (sqrt.f64 -1/2) (/.f64 b a)) (.f64 (sqrt.f64 -1/2) (/.f64 b a)) 1)
(fma.f64 (/.f64 b a) (*.f64 (/.f64 b a) -1/2) 1)
(fma.f64 (.f64 (.f64 b b) -1/2) (pow.f64 a -2) 1)
(fma.f64 (/.f64 -1/2 a) (/.f64 b (/.f64 a b)) 1)
(fma.f64 (/.f64 -1/2 (.f64 (cbrt.f64 a) a)) (/.f64 (.f64 b b) (pow.f64 (cbrt.f64 a) 2)) 1)
(fma.f64 (*.f64 -1/2 (cbrt.f64 (pow.f64 (/.f64 b a) 4))) (pow.f64 (cbrt.f64 (/.f64 b a)) 2) 1)
(fma.f64 (*.f64 -1/2 (/.f64 b a)) (/.f64 b a) 1)

Outputs
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(.f64 b (/.f64 b (.f64 a a)))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(.f64 b (/.f64 b (.f64 a a)))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(.f64 b (/.f64 b (.f64 a a)))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(.f64 b (/.f64 b (.f64 a a)))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(.f64 b (/.f64 b (.f64 a a)))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(.f64 b (/.f64 b (.f64 a a)))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(.f64 b (/.f64 b (.f64 a a)))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(.f64 b (/.f64 b (.f64 a a)))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(.f64 b (/.f64 b (.f64 a a)))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(.f64 b (/.f64 b (.f64 a a)))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(.f64 b (/.f64 b (.f64 a a)))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(.f64 b (/.f64 b (.f64 a a)))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(.f64 b (/.f64 b (.f64 a a)))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(.f64 b (/.f64 b (.f64 a a)))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(.f64 b (/.f64 b (.f64 a a)))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(.f64 b (/.f64 b (.f64 a a)))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(.f64 b (/.f64 b (.f64 a a)))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(.f64 b (/.f64 b (.f64 a a)))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(.f64 b (/.f64 b (.f64 a a)))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(.f64 b (/.f64 b (.f64 a a)))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(.f64 b (/.f64 b (.f64 a a)))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(.f64 b (/.f64 b (.f64 a a)))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(.f64 b (/.f64 b (.f64 a a)))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(.f64 b (/.f64 b (.f64 a a)))
(pow.f64 (/.f64 b a) 2)
1
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (.f64 -1/2 (.f64 b (/.f64 b (*.f64 a a)))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (.f64 -1/2 (.f64 b (/.f64 b (*.f64 a a)))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (.f64 -1/2 (.f64 b (/.f64 b (*.f64 a a)))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 -1/2 (.f64 b (/.f64 b (*.f64 a a))))
(*.f64 -1/2 (pow.f64 (/.f64 b a) 2))
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (.f64 -1/2 (.f64 b (/.f64 b (*.f64 a a)))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (.f64 -1/2 (.f64 b (/.f64 b (*.f64 a a)))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (.f64 -1/2 (.f64 b (/.f64 b (*.f64 a a)))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 -1/2 (.f64 b (/.f64 b (*.f64 a a))))
(*.f64 -1/2 (pow.f64 (/.f64 b a) 2))
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (.f64 -1/2 (.f64 b (/.f64 b (*.f64 a a)))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (.f64 -1/2 (.f64 b (/.f64 b (*.f64 a a)))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (.f64 -1/2 (.f64 b (/.f64 b (*.f64 a a)))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 -1/2 (.f64 b (/.f64 b (*.f64 a a))))
(*.f64 -1/2 (pow.f64 (/.f64 b a) 2))
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (.f64 -1/2 (.f64 b (/.f64 b (*.f64 a a)))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (.f64 -1/2 (.f64 b (/.f64 b (*.f64 a a)))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (.f64 -1/2 (.f64 b (/.f64 b (*.f64 a a)))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
1
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (.f64 -1/2 (.f64 b (/.f64 b (*.f64 a a)))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
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(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (/.f64 b a) 2) -1/2 1)) 3)
(+.f64 1 (.f64 -1/2 (.f64 b (/.f64 b (*.f64 a a)))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(pow.f64 (hypot.f64 1 (*.f64 (sqrt.f64 -1/2) (/.f64 b a))) 2)
(+.f64 1 (.f64 -1/2 (.f64 b (/.f64 b (*.f64 a a)))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(pow.f64 (/.f64 (+.f64 1 (fma.f64 1/4 (pow.f64 (/.f64 b a) 4) (*.f64 1/2 (pow.f64 (/.f64 b a) 2)))) (fma.f64 -1/8 (pow.f64 (/.f64 b a) 6) 1)) -1)
(.f64 (fma.f64 -1/8 (pow.f64 (/.f64 b a) 6) 1) (/.f64 1 (+.f64 1 (fma.f64 1/4 (pow.f64 (/.f64 b a) 4) (.f64 (pow.f64 (/.f64 b a) 2) 1/2)))))
(/.f64 (fma.f64 -1/8 (pow.f64 (/.f64 b a) 6) 1) (fma.f64 (pow.f64 (/.f64 b a) 4) 1/4 (fma.f64 (pow.f64 (/.f64 b a) 2) 1/2 1)))
(/.f64 (fma.f64 (pow.f64 (/.f64 b a) 6) -1/8 1) (fma.f64 (pow.f64 (/.f64 b a) 4) 1/4 (fma.f64 (pow.f64 (/.f64 b a) 2) 1/2 1)))
(pow.f64 (/.f64 (+.f64 1 (.f64 1/2 (pow.f64 (/.f64 b a) 2))) (-.f64 1 (.f64 1/4 (pow.f64 (/.f64 b a) 4)))) -1)
(/.f64 (+.f64 1 (.f64 -1/4 (pow.f64 (/.f64 b a) 4))) (+.f64 1 (.f64 (pow.f64 (/.f64 b a) 2) 1/2)))
(/.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 b a) 4) -1/4)) (fma.f64 (pow.f64 (/.f64 b a) 2) 1/2 1))
(/.f64 (fma.f64 (pow.f64 (/.f64 b a) 4) -1/4 1) (fma.f64 (pow.f64 (/.f64 b a) 2) 1/2 1))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 b a) 2) -1/2 1) 2))
(+.f64 1 (.f64 -1/2 (.f64 b (/.f64 b (*.f64 a a)))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(log.f64 (exp.f64 (fma.f64 (pow.f64 (/.f64 b a) 2) -1/2 1)))
(+.f64 1 (.f64 -1/2 (.f64 b (/.f64 b (*.f64 a a)))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 (/.f64 b a) 2) -1/2 1))))
(+.f64 1 (.f64 -1/2 (.f64 b (/.f64 b (*.f64 a a)))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 b a) 2) -1/2 1) 3))
(+.f64 1 (.f64 -1/2 (.f64 b (/.f64 b (*.f64 a a)))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 (/.f64 b a) 2) -1/2 1)))
(+.f64 1 (.f64 -1/2 (.f64 b (/.f64 b (*.f64 a a)))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 (/.f64 b a) 2) -1/2 1)))
(+.f64 1 (.f64 -1/2 (.f64 b (/.f64 b (*.f64 a a)))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(exp.f64 (log1p.f64 (/.f64 -1/2 (pow.f64 (/.f64 b a) -2))))
(exp.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 (/.f64 b a) 2))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 -1/2 (pow.f64 (/.f64 b a) -2))) 1))
(exp.f64 (log1p.f64 (/.f64 -1/2 (pow.f64 (/.f64 b a) -2))))
(exp.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 (/.f64 b a) 2))))
(exp.f64 (.f64 (.f64 3 (log1p.f64 (/.f64 -1/2 (pow.f64 (/.f64 b a) -2)))) 1/3))
(exp.f64 (log1p.f64 (/.f64 -1/2 (pow.f64 (/.f64 b a) -2))))
(exp.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 (/.f64 b a) 2))))
(exp.f64 (.f64 (.f64 1/3 (log1p.f64 (/.f64 -1/2 (pow.f64 (/.f64 b a) -2)))) 3))
(exp.f64 (log1p.f64 (/.f64 -1/2 (pow.f64 (/.f64 b a) -2))))
(exp.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 (/.f64 b a) 2))))
(exp.f64 (.f64 (log.f64 (hypot.f64 1 (.f64 (sqrt.f64 -1/2) (/.f64 b a)))) 2))
(+.f64 1 (.f64 -1/2 (.f64 b (/.f64 b (*.f64 a a)))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(exp.f64 (.f64 (.f64 (log1p.f64 (/.f64 -1/2 (pow.f64 (/.f64 b a) -2))) 1) 1))
(exp.f64 (log1p.f64 (/.f64 -1/2 (pow.f64 (/.f64 b a) -2))))
(exp.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 (/.f64 b a) 2))))
(fma.f64 (.f64 b b) (.f64 (pow.f64 a -2) -1/2) 1)
(+.f64 1 (.f64 -1/2 (.f64 b (/.f64 b (*.f64 a a)))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(fma.f64 (pow.f64 (/.f64 b a) 2) -1/2 1)
(+.f64 1 (.f64 -1/2 (.f64 b (/.f64 b (*.f64 a a)))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(fma.f64 1 (/.f64 -1/2 (pow.f64 (/.f64 b a) -2)) 1)
(+.f64 1 (.f64 -1/2 (.f64 b (/.f64 b (*.f64 a a)))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(+.f64 1 (.f64 -1/2 (.f64 b (/.f64 b (*.f64 a a)))))
(fma.f64 (/.f64 -1/2 (pow.f64 (/.f64 b a) -2)) 1 1)
(+.f64 1 (.f64 -1/2 (.f64 b (/.f64 b (*.f64 a a)))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(fma.f64 (cbrt.f64 (/.f64 -1/2 (pow.f64 (/.f64 b a) -2))) (cbrt.f64 (*.f64 1/4 (pow.f64 (/.f64 b a) 4))) 1)
(fma.f64 (cbrt.f64 (/.f64 -1/2 (pow.f64 (/.f64 b a) -2))) (cbrt.f64 (*.f64 (pow.f64 (/.f64 b a) 4) 1/4)) 1)
(fma.f64 (cbrt.f64 (.f64 -1/2 (pow.f64 (/.f64 b a) 2))) (cbrt.f64 (.f64 (pow.f64 (/.f64 b a) 4) 1/4)) 1)
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (/.f64 b a) 4))) (cbrt.f64 (/.f64 -1/2 (pow.f64 (/.f64 b a) -2))) 1)
(fma.f64 (cbrt.f64 (/.f64 -1/2 (pow.f64 (/.f64 b a) -2))) (cbrt.f64 (*.f64 (pow.f64 (/.f64 b a) 4) 1/4)) 1)
(fma.f64 (cbrt.f64 (.f64 -1/2 (pow.f64 (/.f64 b a) 2))) (cbrt.f64 (.f64 (pow.f64 (/.f64 b a) 4) 1/4)) 1)
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 b a) 4)) (*.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) -1/2) 1)
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 b a) 4)) (*.f64 -1/2 (pow.f64 (cbrt.f64 (/.f64 b a)) 2)) 1)
(fma.f64 -1/2 (*.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) (cbrt.f64 (pow.f64 (/.f64 b a) 4))) 1)
(fma.f64 (.f64 (sqrt.f64 -1/2) (/.f64 b a)) (.f64 (sqrt.f64 -1/2) (/.f64 b a)) 1)
(+.f64 1 (.f64 -1/2 (.f64 b (/.f64 b (*.f64 a a)))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(fma.f64 (/.f64 b a) (*.f64 (/.f64 b a) -1/2) 1)
(+.f64 1 (.f64 -1/2 (.f64 b (/.f64 b (*.f64 a a)))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(fma.f64 (.f64 (.f64 b b) -1/2) (pow.f64 a -2) 1)
(+.f64 1 (.f64 -1/2 (.f64 b (/.f64 b (*.f64 a a)))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(fma.f64 (/.f64 -1/2 a) (/.f64 b (/.f64 a b)) 1)
(+.f64 1 (.f64 -1/2 (.f64 b (/.f64 b (*.f64 a a)))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(fma.f64 (/.f64 -1/2 (.f64 (cbrt.f64 a) a)) (/.f64 (.f64 b b) (pow.f64 (cbrt.f64 a) 2)) 1)
(fma.f64 (/.f64 -1/2 (.f64 a (cbrt.f64 a))) (/.f64 (.f64 b b) (pow.f64 (cbrt.f64 a) 2)) 1)
(fma.f64 (/.f64 -1/2 (*.f64 a (cbrt.f64 a))) (/.f64 b (/.f64 (pow.f64 (cbrt.f64 a) 2) b)) 1)
(fma.f64 (/.f64 (*.f64 b b) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (/.f64 -1/2 a) (cbrt.f64 a)) 1)
(fma.f64 (*.f64 -1/2 (cbrt.f64 (pow.f64 (/.f64 b a) 4))) (pow.f64 (cbrt.f64 (/.f64 b a)) 2) 1)
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 b a) 4)) (*.f64 -1/2 (pow.f64 (cbrt.f64 (/.f64 b a)) 2)) 1)
(fma.f64 -1/2 (*.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) (cbrt.f64 (pow.f64 (/.f64 b a) 4))) 1)
(fma.f64 (*.f64 -1/2 (/.f64 b a)) (/.f64 b a) 1)
(+.f64 1 (.f64 -1/2 (.f64 b (/.f64 b (*.f64 a a)))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (*.f64 -1/2 (pow.f64 (/.f64 b a) 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
2.0ms	b	@	-inf	(+.f64 1 (*.f64 -1/2 (pow.f64 (/.f64 b a) 2)))
0.0ms	b	@	0	(+.f64 1 (*.f64 -1/2 (pow.f64 (/.f64 b a) 2)))
0.0ms	a	@	0	(+.f64 1 (*.f64 -1/2 (pow.f64 (/.f64 b a) 2)))
0.0ms	b	@	inf	(+.f64 1 (*.f64 -1/2 (pow.f64 (/.f64 b a) 2)))
0.0ms	a	@	inf	(+.f64 1 (*.f64 -1/2 (pow.f64 (/.f64 b a) 2)))

rewrite47.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

431×	`log-prod_binary64`
335×	`exp-prod_binary64`
265×	`prod-exp_binary64`
260×	`prod-diff_binary64`
247×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	212	11
2	2548	11

Stop Event

1×	node limit

Counts

1 → 50

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 (pow.f64 (/.f64 b a) 2)))) (/.f64 (*.f64 (pow.f64 (/.f64 b a) 4) 1/4) (+.f64 1 (*.f64 1/2 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)) 2) (cbrt.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (*.f64 (/.f64 b a) (sqrt.f64 -1/2))) (hypot.f64 1 (*.f64 (/.f64 b a) (sqrt.f64 -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (/.f64 b a) 6) -1/8 1) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 (/.f64 b a) 4) 1/4 (*.f64 1/2 (pow.f64 (/.f64 b a) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 b a) 4) 1/4)) (/.f64 1 (+.f64 1 (*.f64 1/2 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (fma.f64 (pow.f64 (/.f64 b a) 4) 1/4 (*.f64 1/2 (pow.f64 (/.f64 b a) 2)))) (fma.f64 (pow.f64 (/.f64 b a) 6) -1/8 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 1/2 (pow.f64 (/.f64 b a) 2))) (-.f64 1 (*.f64 (pow.f64 (/.f64 b a) 4) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (/.f64 b a) 6) -1/8 1) (+.f64 1 (fma.f64 (pow.f64 (/.f64 b a) 4) 1/4 (*.f64 1/2 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (/.f64 b a) 6) -1/8 1) (fma.f64 (pow.f64 (/.f64 b a) 4) 1/4 (+.f64 1 (*.f64 1/2 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 b a) 4) 1/4)) (+.f64 1 (*.f64 1/2 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 b a) 6) -1/8 1)) (neg.f64 (+.f64 1 (fma.f64 (pow.f64 (/.f64 b a) 4) 1/4 (*.f64 1/2 (pow.f64 (/.f64 b a) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 b a) 4) 1/4))) (neg.f64 (+.f64 1 (*.f64 1/2 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (/.f64 b a) 4) 1/4 -1) (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log1p.f64 (*.f64 -1/2 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (*.f64 (/.f64 b a) (sqrt.f64 -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (fma.f64 (pow.f64 (/.f64 b a) 4) 1/4 (*.f64 1/2 (pow.f64 (/.f64 b a) 2)))) (fma.f64 (pow.f64 (/.f64 b a) 6) -1/8 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (*.f64 1/2 (pow.f64 (/.f64 b a) 2))) (-.f64 1 (*.f64 (pow.f64 (/.f64 b a) 4) 1/4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 (/.f64 b a) 2)))) 2)) (cbrt.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 (/.f64 b a) 2))))) (sqrt.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 (/.f64 b a) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log1p.f64 (*.f64 -1/2 (pow.f64 (/.f64 b a) 2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 1 (*.f64 (/.f64 b a) (sqrt.f64 -1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 (/.f64 b a) 2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/2 (pow.f64 (/.f64 b a) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 b a) (*.f64 (/.f64 b a) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 b a) 2) -1/2 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (pow.f64 (/.f64 b a) 2)) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 4) (*.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 (/.f64 b a) 2))) (cbrt.f64 (*.f64 (pow.f64 (/.f64 b a) 4) 1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 b a) 4) 1/4)) (cbrt.f64 (*.f64 -1/2 (pow.f64 (/.f64 b a) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 b a) (sqrt.f64 -1/2)) (*.f64 (/.f64 b a) (sqrt.f64 -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (/.f64 b a)) (/.f64 b a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 (/.f64 b a)) 4)) (pow.f64 (cbrt.f64 (/.f64 b a)) 2) 1)))))

simplify56.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

773×	`times-frac_binary64`
428×	`associate-l_binary64`
380×	`associate-r_binary64`
206×	`fma-neg_binary64`
196×	`exp-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	129	1409
1	292	1116
2	770	1102
3	3903	1102

Stop Event

1×	node limit

Counts

74 → 62

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.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 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.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 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1))) 1)
(-.f64 (/.f64 1 (+.f64 1 (.f64 1/2 (pow.f64 (/.f64 b a) 2)))) (/.f64 (.f64 (pow.f64 (/.f64 b a) 4) 1/4) (+.f64 1 (*.f64 1/2 (pow.f64 (/.f64 b a) 2)))))
(*.f64 1 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1))
(*.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1) 1)
(*.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)) 2) (cbrt.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)))
(.f64 (hypot.f64 1 (.f64 (/.f64 b a) (sqrt.f64 -1/2))) (hypot.f64 1 (*.f64 (/.f64 b a) (sqrt.f64 -1/2))))
(.f64 (fma.f64 (pow.f64 (/.f64 b a) 6) -1/8 1) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 (/.f64 b a) 4) 1/4 (.f64 1/2 (pow.f64 (/.f64 b a) 2))))))
(.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 b a) 4) 1/4)) (/.f64 1 (+.f64 1 (*.f64 1/2 (pow.f64 (/.f64 b a) 2)))))
(/.f64 1 (/.f64 (+.f64 1 (fma.f64 (pow.f64 (/.f64 b a) 4) 1/4 (*.f64 1/2 (pow.f64 (/.f64 b a) 2)))) (fma.f64 (pow.f64 (/.f64 b a) 6) -1/8 1)))
(/.f64 1 (/.f64 (+.f64 1 (.f64 1/2 (pow.f64 (/.f64 b a) 2))) (-.f64 1 (.f64 (pow.f64 (/.f64 b a) 4) 1/4))))
(/.f64 (fma.f64 (pow.f64 (/.f64 b a) 6) -1/8 1) (+.f64 1 (fma.f64 (pow.f64 (/.f64 b a) 4) 1/4 (*.f64 1/2 (pow.f64 (/.f64 b a) 2)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 b a) 6) -1/8 1) (fma.f64 (pow.f64 (/.f64 b a) 4) 1/4 (+.f64 1 (*.f64 1/2 (pow.f64 (/.f64 b a) 2)))))
(/.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 b a) 4) 1/4)) (+.f64 1 (.f64 1/2 (pow.f64 (/.f64 b a) 2))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 b a) 6) -1/8 1)) (neg.f64 (+.f64 1 (fma.f64 (pow.f64 (/.f64 b a) 4) 1/4 (*.f64 1/2 (pow.f64 (/.f64 b a) 2))))))
(/.f64 (neg.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 b a) 4) 1/4))) (neg.f64 (+.f64 1 (.f64 1/2 (pow.f64 (/.f64 b a) 2)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 b a) 4) 1/4 -1) (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) -1))
(pow.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1) 1)
(pow.f64 (E.f64) (log1p.f64 (*.f64 -1/2 (pow.f64 (/.f64 b a) 2))))
(pow.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)) 3)
(pow.f64 (hypot.f64 1 (*.f64 (/.f64 b a) (sqrt.f64 -1/2))) 2)
(pow.f64 (/.f64 (+.f64 1 (fma.f64 (pow.f64 (/.f64 b a) 4) 1/4 (*.f64 1/2 (pow.f64 (/.f64 b a) 2)))) (fma.f64 (pow.f64 (/.f64 b a) 6) -1/8 1)) -1)
(pow.f64 (/.f64 (+.f64 1 (.f64 1/2 (pow.f64 (/.f64 b a) 2))) (-.f64 1 (.f64 (pow.f64 (/.f64 b a) 4) 1/4))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 -1/2 (pow.f64 (/.f64 b a) 2)))) 2)) (cbrt.f64 (log1p.f64 (.f64 -1/2 (pow.f64 (/.f64 b a) 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (.f64 -1/2 (pow.f64 (/.f64 b a) 2))))) (sqrt.f64 (log1p.f64 (.f64 -1/2 (pow.f64 (/.f64 b a) 2)))))
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1) 2))
(log.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1))))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)))
(exp.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 (/.f64 b a) 2))))
(exp.f64 (.f64 (log1p.f64 (.f64 -1/2 (pow.f64 (/.f64 b a) 2))) 1))
(exp.f64 (.f64 (.f64 3 (log1p.f64 (*.f64 -1/2 (pow.f64 (/.f64 b a) 2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1))) 3))
(exp.f64 (.f64 (log.f64 (hypot.f64 1 (.f64 (/.f64 b a) (sqrt.f64 -1/2)))) 2))
(exp.f64 (.f64 (.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 (/.f64 b a) 2))) 1) 1))
(fma.f64 1 (*.f64 -1/2 (pow.f64 (/.f64 b a) 2)) 1)
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(fma.f64 (/.f64 b a) (*.f64 (/.f64 b a) -1/2) 1)
(fma.f64 (pow.f64 (/.f64 b a) 2) -1/2 1)
(fma.f64 (*.f64 -1/2 (pow.f64 (/.f64 b a) 2)) 1 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 4) (*.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) -1/2) 1)
(fma.f64 (cbrt.f64 (.f64 -1/2 (pow.f64 (/.f64 b a) 2))) (cbrt.f64 (.f64 (pow.f64 (/.f64 b a) 4) 1/4)) 1)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 b a) 4) 1/4)) (cbrt.f64 (.f64 -1/2 (pow.f64 (/.f64 b a) 2))) 1)
(fma.f64 (.f64 (/.f64 b a) (sqrt.f64 -1/2)) (.f64 (/.f64 b a) (sqrt.f64 -1/2)) 1)
(fma.f64 (*.f64 -1/2 (/.f64 b a)) (/.f64 b a) 1)
(fma.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 (/.f64 b a)) 4)) (pow.f64 (cbrt.f64 (/.f64 b a)) 2) 1)

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 (pow.f64 (/.f64 b a) 2) 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 (pow.f64 (/.f64 b a) 2) 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 (pow.f64 (/.f64 b a) 2) 1)
(*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(/.f64 (.f64 -1/2 (.f64 b b)) (*.f64 a a))
(*.f64 -1/2 (pow.f64 (/.f64 b a) 2))
(+.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 (pow.f64 (/.f64 b a) 2) 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 (pow.f64 (/.f64 b a) 2) 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 (pow.f64 (/.f64 b a) 2) 1)
(*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(/.f64 (.f64 -1/2 (.f64 b b)) (*.f64 a a))
(*.f64 -1/2 (pow.f64 (/.f64 b a) 2))
(+.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 (pow.f64 (/.f64 b a) 2) 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 (pow.f64 (/.f64 b a) 2) 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 (pow.f64 (/.f64 b a) 2) 1)
(*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(/.f64 (.f64 -1/2 (.f64 b b)) (*.f64 a a))
(*.f64 -1/2 (pow.f64 (/.f64 b a) 2))
(+.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 (pow.f64 (/.f64 b a) 2) 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 (pow.f64 (/.f64 b a) 2) 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 (pow.f64 (/.f64 b a) 2) 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 (pow.f64 (/.f64 b a) 2) 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 (pow.f64 (/.f64 b a) 2) 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 (pow.f64 (/.f64 b a) 2) 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 (pow.f64 (/.f64 b a) 2) 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 (pow.f64 (/.f64 b a) 2) 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 (pow.f64 (/.f64 b a) 2) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1))) 1)
(+.f64 1 (/.f64 (.f64 -1/2 (.f64 b b)) (*.f64 a a)))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(-.f64 (/.f64 1 (+.f64 1 (.f64 1/2 (pow.f64 (/.f64 b a) 2)))) (/.f64 (.f64 (pow.f64 (/.f64 b a) 4) 1/4) (+.f64 1 (*.f64 1/2 (pow.f64 (/.f64 b a) 2)))))
(/.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 b a) 4) 1/4)) (+.f64 1 (.f64 (pow.f64 (/.f64 b a) 2) 1/2)))
(/.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 b a) 4) -1/4)) (fma.f64 (pow.f64 (/.f64 b a) 2) 1/2 1))
(/.f64 (fma.f64 (pow.f64 (/.f64 b a) 4) -1/4 1) (fma.f64 (pow.f64 (/.f64 b a) 2) 1/2 1))
(*.f64 1 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1))
(+.f64 1 (/.f64 (.f64 -1/2 (.f64 b b)) (*.f64 a a)))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(*.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1) 1)
(+.f64 1 (/.f64 (.f64 -1/2 (.f64 b b)) (*.f64 a a)))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(*.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)) 2))
(+.f64 1 (/.f64 (.f64 -1/2 (.f64 b b)) (*.f64 a a)))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)) 2) (cbrt.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)))
(+.f64 1 (/.f64 (.f64 -1/2 (.f64 b b)) (*.f64 a a)))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(.f64 (hypot.f64 1 (.f64 (/.f64 b a) (sqrt.f64 -1/2))) (hypot.f64 1 (*.f64 (/.f64 b a) (sqrt.f64 -1/2))))
(+.f64 1 (/.f64 (.f64 -1/2 (.f64 b b)) (*.f64 a a)))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(.f64 (fma.f64 (pow.f64 (/.f64 b a) 6) -1/8 1) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 (/.f64 b a) 4) 1/4 (.f64 1/2 (pow.f64 (/.f64 b a) 2))))))
(/.f64 (.f64 (fma.f64 (pow.f64 (/.f64 b a) 6) -1/8 1) 1) (+.f64 1 (fma.f64 (pow.f64 (/.f64 b a) 4) 1/4 (.f64 (pow.f64 (/.f64 b a) 2) 1/2))))
(/.f64 (fma.f64 (pow.f64 (/.f64 b a) 6) -1/8 1) (fma.f64 (pow.f64 (/.f64 b a) 4) 1/4 (fma.f64 (pow.f64 (/.f64 b a) 2) 1/2 1)))
(/.f64 (fma.f64 (pow.f64 (/.f64 b a) 6) 1/8 -1) (fma.f64 (pow.f64 (/.f64 b a) 4) -1/4 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) -1)))
(.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 b a) 4) 1/4)) (/.f64 1 (+.f64 1 (*.f64 1/2 (pow.f64 (/.f64 b a) 2)))))
(/.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 b a) 4) 1/4)) (+.f64 1 (.f64 (pow.f64 (/.f64 b a) 2) 1/2)))
(/.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 b a) 4) -1/4)) (fma.f64 (pow.f64 (/.f64 b a) 2) 1/2 1))
(/.f64 (fma.f64 (pow.f64 (/.f64 b a) 4) -1/4 1) (fma.f64 (pow.f64 (/.f64 b a) 2) 1/2 1))
(/.f64 1 (/.f64 (+.f64 1 (fma.f64 (pow.f64 (/.f64 b a) 4) 1/4 (*.f64 1/2 (pow.f64 (/.f64 b a) 2)))) (fma.f64 (pow.f64 (/.f64 b a) 6) -1/8 1)))
(/.f64 (.f64 (fma.f64 (pow.f64 (/.f64 b a) 6) -1/8 1) 1) (+.f64 1 (fma.f64 (pow.f64 (/.f64 b a) 4) 1/4 (.f64 (pow.f64 (/.f64 b a) 2) 1/2))))
(/.f64 (fma.f64 (pow.f64 (/.f64 b a) 6) -1/8 1) (fma.f64 (pow.f64 (/.f64 b a) 4) 1/4 (fma.f64 (pow.f64 (/.f64 b a) 2) 1/2 1)))
(/.f64 (fma.f64 (pow.f64 (/.f64 b a) 6) 1/8 -1) (fma.f64 (pow.f64 (/.f64 b a) 4) -1/4 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) -1)))
(/.f64 1 (/.f64 (+.f64 1 (.f64 1/2 (pow.f64 (/.f64 b a) 2))) (-.f64 1 (.f64 (pow.f64 (/.f64 b a) 4) 1/4))))
(/.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 b a) 4) 1/4)) (+.f64 1 (.f64 (pow.f64 (/.f64 b a) 2) 1/2)))
(/.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 b a) 4) -1/4)) (fma.f64 (pow.f64 (/.f64 b a) 2) 1/2 1))
(/.f64 (fma.f64 (pow.f64 (/.f64 b a) 4) -1/4 1) (fma.f64 (pow.f64 (/.f64 b a) 2) 1/2 1))
(/.f64 (fma.f64 (pow.f64 (/.f64 b a) 6) -1/8 1) (+.f64 1 (fma.f64 (pow.f64 (/.f64 b a) 4) 1/4 (*.f64 1/2 (pow.f64 (/.f64 b a) 2)))))
(/.f64 (.f64 (fma.f64 (pow.f64 (/.f64 b a) 6) -1/8 1) 1) (+.f64 1 (fma.f64 (pow.f64 (/.f64 b a) 4) 1/4 (.f64 (pow.f64 (/.f64 b a) 2) 1/2))))
(/.f64 (fma.f64 (pow.f64 (/.f64 b a) 6) -1/8 1) (fma.f64 (pow.f64 (/.f64 b a) 4) 1/4 (fma.f64 (pow.f64 (/.f64 b a) 2) 1/2 1)))
(/.f64 (fma.f64 (pow.f64 (/.f64 b a) 6) 1/8 -1) (fma.f64 (pow.f64 (/.f64 b a) 4) -1/4 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) -1)))
(/.f64 (fma.f64 (pow.f64 (/.f64 b a) 6) -1/8 1) (fma.f64 (pow.f64 (/.f64 b a) 4) 1/4 (+.f64 1 (*.f64 1/2 (pow.f64 (/.f64 b a) 2)))))
(/.f64 (.f64 (fma.f64 (pow.f64 (/.f64 b a) 6) -1/8 1) 1) (+.f64 1 (fma.f64 (pow.f64 (/.f64 b a) 4) 1/4 (.f64 (pow.f64 (/.f64 b a) 2) 1/2))))
(/.f64 (fma.f64 (pow.f64 (/.f64 b a) 6) -1/8 1) (fma.f64 (pow.f64 (/.f64 b a) 4) 1/4 (fma.f64 (pow.f64 (/.f64 b a) 2) 1/2 1)))
(/.f64 (fma.f64 (pow.f64 (/.f64 b a) 6) 1/8 -1) (fma.f64 (pow.f64 (/.f64 b a) 4) -1/4 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) -1)))
(/.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 b a) 4) 1/4)) (+.f64 1 (.f64 1/2 (pow.f64 (/.f64 b a) 2))))
(/.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 b a) 4) 1/4)) (+.f64 1 (.f64 (pow.f64 (/.f64 b a) 2) 1/2)))
(/.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 b a) 4) -1/4)) (fma.f64 (pow.f64 (/.f64 b a) 2) 1/2 1))
(/.f64 (fma.f64 (pow.f64 (/.f64 b a) 4) -1/4 1) (fma.f64 (pow.f64 (/.f64 b a) 2) 1/2 1))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 b a) 6) -1/8 1)) (neg.f64 (+.f64 1 (fma.f64 (pow.f64 (/.f64 b a) 4) 1/4 (*.f64 1/2 (pow.f64 (/.f64 b a) 2))))))
(/.f64 (.f64 (fma.f64 (pow.f64 (/.f64 b a) 6) -1/8 1) 1) (+.f64 1 (fma.f64 (pow.f64 (/.f64 b a) 4) 1/4 (.f64 (pow.f64 (/.f64 b a) 2) 1/2))))
(/.f64 (fma.f64 (pow.f64 (/.f64 b a) 6) -1/8 1) (fma.f64 (pow.f64 (/.f64 b a) 4) 1/4 (fma.f64 (pow.f64 (/.f64 b a) 2) 1/2 1)))
(/.f64 (fma.f64 (pow.f64 (/.f64 b a) 6) 1/8 -1) (fma.f64 (pow.f64 (/.f64 b a) 4) -1/4 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) -1)))
(/.f64 (neg.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 b a) 4) 1/4))) (neg.f64 (+.f64 1 (.f64 1/2 (pow.f64 (/.f64 b a) 2)))))
(/.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 b a) 4) 1/4)) (+.f64 1 (.f64 (pow.f64 (/.f64 b a) 2) 1/2)))
(/.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 b a) 4) -1/4)) (fma.f64 (pow.f64 (/.f64 b a) 2) 1/2 1))
(/.f64 (fma.f64 (pow.f64 (/.f64 b a) 4) -1/4 1) (fma.f64 (pow.f64 (/.f64 b a) 2) 1/2 1))
(/.f64 (fma.f64 (pow.f64 (/.f64 b a) 4) 1/4 -1) (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) -1))
(/.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 b a) 4) 1/4)) (+.f64 1 (.f64 (pow.f64 (/.f64 b a) 2) 1/2)))
(/.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 b a) 4) -1/4)) (fma.f64 (pow.f64 (/.f64 b a) 2) 1/2 1))
(/.f64 (fma.f64 (pow.f64 (/.f64 b a) 4) -1/4 1) (fma.f64 (pow.f64 (/.f64 b a) 2) 1/2 1))
(pow.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1) 1)
(+.f64 1 (/.f64 (.f64 -1/2 (.f64 b b)) (*.f64 a a)))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(pow.f64 (E.f64) (log1p.f64 (*.f64 -1/2 (pow.f64 (/.f64 b a) 2))))
(exp.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 (/.f64 b a) 2))))
(pow.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1) 2) 1/2)
(+.f64 1 (/.f64 (.f64 -1/2 (.f64 b b)) (*.f64 a a)))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(pow.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1) 3) 1/3)
(+.f64 1 (/.f64 (.f64 -1/2 (.f64 b b)) (*.f64 a a)))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)) 3)
(+.f64 1 (/.f64 (.f64 -1/2 (.f64 b b)) (*.f64 a a)))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(pow.f64 (hypot.f64 1 (*.f64 (/.f64 b a) (sqrt.f64 -1/2))) 2)
(+.f64 1 (/.f64 (.f64 -1/2 (.f64 b b)) (*.f64 a a)))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(pow.f64 (/.f64 (+.f64 1 (fma.f64 (pow.f64 (/.f64 b a) 4) 1/4 (*.f64 1/2 (pow.f64 (/.f64 b a) 2)))) (fma.f64 (pow.f64 (/.f64 b a) 6) -1/8 1)) -1)
(/.f64 (.f64 (fma.f64 (pow.f64 (/.f64 b a) 6) -1/8 1) 1) (+.f64 1 (fma.f64 (pow.f64 (/.f64 b a) 4) 1/4 (.f64 (pow.f64 (/.f64 b a) 2) 1/2))))
(/.f64 (fma.f64 (pow.f64 (/.f64 b a) 6) -1/8 1) (fma.f64 (pow.f64 (/.f64 b a) 4) 1/4 (fma.f64 (pow.f64 (/.f64 b a) 2) 1/2 1)))
(/.f64 (fma.f64 (pow.f64 (/.f64 b a) 6) 1/8 -1) (fma.f64 (pow.f64 (/.f64 b a) 4) -1/4 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) -1)))
(pow.f64 (/.f64 (+.f64 1 (.f64 1/2 (pow.f64 (/.f64 b a) 2))) (-.f64 1 (.f64 (pow.f64 (/.f64 b a) 4) 1/4))) -1)
(/.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 b a) 4) 1/4)) (+.f64 1 (.f64 (pow.f64 (/.f64 b a) 2) 1/2)))
(/.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 b a) 4) -1/4)) (fma.f64 (pow.f64 (/.f64 b a) 2) 1/2 1))
(/.f64 (fma.f64 (pow.f64 (/.f64 b a) 4) -1/4 1) (fma.f64 (pow.f64 (/.f64 b a) 2) 1/2 1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 -1/2 (pow.f64 (/.f64 b a) 2)))) 2)) (cbrt.f64 (log1p.f64 (.f64 -1/2 (pow.f64 (/.f64 b a) 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (.f64 -1/2 (pow.f64 (/.f64 b a) 2))))) (sqrt.f64 (log1p.f64 (.f64 -1/2 (pow.f64 (/.f64 b a) 2)))))
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1) 2))
(+.f64 1 (/.f64 (.f64 -1/2 (.f64 b b)) (*.f64 a a)))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(log.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)))
(+.f64 1 (/.f64 (.f64 -1/2 (.f64 b b)) (*.f64 a a)))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1))))
(+.f64 1 (/.f64 (.f64 -1/2 (.f64 b b)) (*.f64 a a)))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1) 3))
(+.f64 1 (/.f64 (.f64 -1/2 (.f64 b b)) (*.f64 a a)))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)))
(+.f64 1 (/.f64 (.f64 -1/2 (.f64 b b)) (*.f64 a a)))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)))
(+.f64 1 (/.f64 (.f64 -1/2 (.f64 b b)) (*.f64 a a)))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(exp.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 (/.f64 b a) 2))))
(pow.f64 (E.f64) (log1p.f64 (*.f64 -1/2 (pow.f64 (/.f64 b a) 2))))
(exp.f64 (.f64 (log1p.f64 (.f64 -1/2 (pow.f64 (/.f64 b a) 2))) 1))
(pow.f64 (E.f64) (log1p.f64 (*.f64 -1/2 (pow.f64 (/.f64 b a) 2))))
(exp.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 (/.f64 b a) 2))))
(exp.f64 (.f64 (.f64 3 (log1p.f64 (*.f64 -1/2 (pow.f64 (/.f64 b a) 2)))) 1/3))
(pow.f64 (E.f64) (log1p.f64 (*.f64 -1/2 (pow.f64 (/.f64 b a) 2))))
(exp.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 (/.f64 b a) 2))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1))) 3))
(+.f64 1 (/.f64 (.f64 -1/2 (.f64 b b)) (*.f64 a a)))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(exp.f64 (.f64 (log.f64 (hypot.f64 1 (.f64 (/.f64 b a) (sqrt.f64 -1/2)))) 2))
(+.f64 1 (/.f64 (.f64 -1/2 (.f64 b b)) (*.f64 a a)))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(exp.f64 (.f64 (.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 (/.f64 b a) 2))) 1) 1))
(pow.f64 (E.f64) (log1p.f64 (*.f64 -1/2 (pow.f64 (/.f64 b a) 2))))
(exp.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 (/.f64 b a) 2))))
(fma.f64 1 (*.f64 -1/2 (pow.f64 (/.f64 b a) 2)) 1)
(+.f64 1 (/.f64 (.f64 -1/2 (.f64 b b)) (*.f64 a a)))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(+.f64 1 (/.f64 (.f64 -1/2 (.f64 b b)) (*.f64 a a)))
(fma.f64 (/.f64 b a) (*.f64 (/.f64 b a) -1/2) 1)
(+.f64 1 (/.f64 (.f64 -1/2 (.f64 b b)) (*.f64 a a)))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(fma.f64 (pow.f64 (/.f64 b a) 2) -1/2 1)
(+.f64 1 (/.f64 (.f64 -1/2 (.f64 b b)) (*.f64 a a)))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(fma.f64 (*.f64 -1/2 (pow.f64 (/.f64 b a) 2)) 1 1)
(+.f64 1 (/.f64 (.f64 -1/2 (.f64 b b)) (*.f64 a a)))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 4) (*.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) -1/2) 1)
(+.f64 1 (/.f64 (.f64 -1/2 (.f64 b b)) (*.f64 a a)))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(fma.f64 (cbrt.f64 (.f64 -1/2 (pow.f64 (/.f64 b a) 2))) (cbrt.f64 (.f64 (pow.f64 (/.f64 b a) 4) 1/4)) 1)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 b a) 4) 1/4)) (cbrt.f64 (.f64 -1/2 (pow.f64 (/.f64 b a) 2))) 1)
(fma.f64 (cbrt.f64 (.f64 -1/2 (pow.f64 (/.f64 b a) 2))) (cbrt.f64 (.f64 (pow.f64 (/.f64 b a) 4) 1/4)) 1)
(fma.f64 (.f64 (/.f64 b a) (sqrt.f64 -1/2)) (.f64 (/.f64 b a) (sqrt.f64 -1/2)) 1)
(+.f64 1 (/.f64 (.f64 -1/2 (.f64 b b)) (*.f64 a a)))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(fma.f64 (*.f64 -1/2 (/.f64 b a)) (/.f64 b a) 1)
(+.f64 1 (/.f64 (.f64 -1/2 (.f64 b b)) (*.f64 a a)))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(fma.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 (/.f64 b a)) 4)) (pow.f64 (cbrt.f64 (/.f64 b a)) 2) 1)
(+.f64 1 (/.f64 (.f64 -1/2 (.f64 b b)) (*.f64 a a)))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)

eval160.0ms (3.8%)

Compiler: Compiled 5964 to 3823 computations (35.9% saved)

prune79.0ms (1.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	390	1	391
Fresh	0	1	1
Picked	1	0	1
Done	1	1	2
Total	392	3	395

Error

Counts

395 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.7b	(+.f64 1 (*.f64 -1/2 (/.f64 (/.f64 b a) (/.f64 a b))))
✓	0.0b	(sqrt.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))))
	1.7b	1

Compiler

Compiled 28 to 20 computations (28.6% saved)

localize38.0ms (0.9%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (*.f64 -1/2 (/.f64 (/.f64 b a) (/.f64 a b))))
	0.3b	(/.f64 (/.f64 b a) (/.f64 a b))

Compiler

Compiled 39 to 13 computations (66.7% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	b	@	inf	(+.f64 1 (*.f64 -1/2 (/.f64 (/.f64 b a) (/.f64 a b))))
0.0ms	b	@	0	(+.f64 1 (*.f64 -1/2 (/.f64 (/.f64 b a) (/.f64 a b))))
0.0ms	b	@	-inf	(+.f64 1 (*.f64 -1/2 (/.f64 (/.f64 b a) (/.f64 a b))))
0.0ms	a	@	0	(+.f64 1 (*.f64 -1/2 (/.f64 (/.f64 b a) (/.f64 a b))))
0.0ms	a	@	inf	(+.f64 1 (*.f64 -1/2 (/.f64 (/.f64 b a) (/.f64 a b))))

rewrite54.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

573×	`log-prod_binary64`
439×	`prod-diff_binary64`
314×	`pow-prod-down_binary64`
273×	`pow2_binary64`
252×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	16
1	221	11
2	3138	11

Stop Event

1×	node limit

Counts

1 → 51

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 (pow.f64 (/.f64 b a) 2)))) (/.f64 (*.f64 (pow.f64 (/.f64 b a) 4) 1/4) (+.f64 1 (*.f64 1/2 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)) 2) (cbrt.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (*.f64 (/.f64 b a) (sqrt.f64 -1/2))) (hypot.f64 1 (*.f64 (/.f64 b a) (sqrt.f64 -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (/.f64 b a) 6) -1/8 1) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 (/.f64 b a) 4) 1/4 (*.f64 1/2 (pow.f64 (/.f64 b a) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 b a) 4) 1/4)) (/.f64 1 (+.f64 1 (*.f64 1/2 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (fma.f64 (pow.f64 (/.f64 b a) 4) 1/4 (*.f64 1/2 (pow.f64 (/.f64 b a) 2)))) (fma.f64 (pow.f64 (/.f64 b a) 6) -1/8 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 1/2 (pow.f64 (/.f64 b a) 2))) (-.f64 1 (*.f64 (pow.f64 (/.f64 b a) 4) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (/.f64 b a) 6) -1/8 1) (+.f64 1 (fma.f64 (pow.f64 (/.f64 b a) 4) 1/4 (*.f64 1/2 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (/.f64 b a) 6) -1/8 1) (fma.f64 (pow.f64 (/.f64 b a) 4) 1/4 (+.f64 1 (*.f64 1/2 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 b a) 4) 1/4)) (+.f64 1 (*.f64 1/2 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 b a) 6) -1/8 1)) (neg.f64 (+.f64 1 (fma.f64 (pow.f64 (/.f64 b a) 4) 1/4 (*.f64 1/2 (pow.f64 (/.f64 b a) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 b a) 4) 1/4))) (neg.f64 (+.f64 1 (*.f64 1/2 (pow.f64 (/.f64 b a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (/.f64 b a) 4) 1/4 -1) (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (*.f64 (/.f64 b a) (sqrt.f64 -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (fma.f64 (pow.f64 (/.f64 b a) 4) 1/4 (*.f64 1/2 (pow.f64 (/.f64 b a) 2)))) (fma.f64 (pow.f64 (/.f64 b a) 6) -1/8 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (*.f64 1/2 (pow.f64 (/.f64 b a) 2))) (-.f64 1 (*.f64 (pow.f64 (/.f64 b a) 4) 1/4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 (/.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 (/.f64 b a) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/2 (pow.f64 (/.f64 b a) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 b a) (*.f64 -1/2 (/.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 b a) 2) -1/2 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (pow.f64 (/.f64 b a) 2)) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 4) (*.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 (/.f64 b a) 2))) (cbrt.f64 (*.f64 (pow.f64 (/.f64 b a) 4) 1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 b a) 4) 1/4)) (cbrt.f64 (*.f64 -1/2 (pow.f64 (/.f64 b a) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 b a) (sqrt.f64 -1/2)) (*.f64 (/.f64 b a) (sqrt.f64 -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 b (*.f64 a a)) (*.f64 b -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (/.f64 b a)) (/.f64 b a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1/2 a) (/.f64 (/.f64 b a) (/.f64 1 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1/2 (cbrt.f64 (pow.f64 (/.f64 b a) -2))) (/.f64 (/.f64 b a) (cbrt.f64 (/.f64 a b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1/2 (sqrt.f64 (/.f64 a b))) (pow.f64 (/.f64 a b) -3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 -1/2 (/.f64 b a)) 1) (/.f64 b a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 -1/2 (/.f64 b a)) a) b 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 -1/2 (/.f64 b a)) (neg.f64 a)) (neg.f64 b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 (/.f64 b a)) 4)) (pow.f64 (cbrt.f64 (/.f64 b a)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (/.f64 b (*.f64 a a))) b 1)))))

simplify69.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

462×	`associate-l_binary64`
425×	`associate-r_binary64`
297×	`fma-neg_binary64`
252×	`cancel-sign-sub-inv_binary64`
247×	`exp-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	139	1400
1	316	1097
2	851	1083
3	4501	1083

Stop Event

1×	node limit

Counts

75 → 65

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.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 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.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 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1))) 1)
(-.f64 (/.f64 1 (+.f64 1 (.f64 1/2 (pow.f64 (/.f64 b a) 2)))) (/.f64 (.f64 (pow.f64 (/.f64 b a) 4) 1/4) (+.f64 1 (*.f64 1/2 (pow.f64 (/.f64 b a) 2)))))
(*.f64 1 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1))
(*.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1) 1)
(*.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)) 2) (cbrt.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)))
(.f64 (hypot.f64 1 (.f64 (/.f64 b a) (sqrt.f64 -1/2))) (hypot.f64 1 (*.f64 (/.f64 b a) (sqrt.f64 -1/2))))
(.f64 (fma.f64 (pow.f64 (/.f64 b a) 6) -1/8 1) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 (/.f64 b a) 4) 1/4 (.f64 1/2 (pow.f64 (/.f64 b a) 2))))))
(.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 b a) 4) 1/4)) (/.f64 1 (+.f64 1 (*.f64 1/2 (pow.f64 (/.f64 b a) 2)))))
(/.f64 1 (/.f64 (+.f64 1 (fma.f64 (pow.f64 (/.f64 b a) 4) 1/4 (*.f64 1/2 (pow.f64 (/.f64 b a) 2)))) (fma.f64 (pow.f64 (/.f64 b a) 6) -1/8 1)))
(/.f64 1 (/.f64 (+.f64 1 (.f64 1/2 (pow.f64 (/.f64 b a) 2))) (-.f64 1 (.f64 (pow.f64 (/.f64 b a) 4) 1/4))))
(/.f64 (fma.f64 (pow.f64 (/.f64 b a) 6) -1/8 1) (+.f64 1 (fma.f64 (pow.f64 (/.f64 b a) 4) 1/4 (*.f64 1/2 (pow.f64 (/.f64 b a) 2)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 b a) 6) -1/8 1) (fma.f64 (pow.f64 (/.f64 b a) 4) 1/4 (+.f64 1 (*.f64 1/2 (pow.f64 (/.f64 b a) 2)))))
(/.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 b a) 4) 1/4)) (+.f64 1 (.f64 1/2 (pow.f64 (/.f64 b a) 2))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 b a) 6) -1/8 1)) (neg.f64 (+.f64 1 (fma.f64 (pow.f64 (/.f64 b a) 4) 1/4 (*.f64 1/2 (pow.f64 (/.f64 b a) 2))))))
(/.f64 (neg.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 b a) 4) 1/4))) (neg.f64 (+.f64 1 (.f64 1/2 (pow.f64 (/.f64 b a) 2)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 b a) 4) 1/4 -1) (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) -1))
(pow.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1) 1)
(pow.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)) 3)
(pow.f64 (hypot.f64 1 (*.f64 (/.f64 b a) (sqrt.f64 -1/2))) 2)
(pow.f64 (/.f64 (+.f64 1 (fma.f64 (pow.f64 (/.f64 b a) 4) 1/4 (*.f64 1/2 (pow.f64 (/.f64 b a) 2)))) (fma.f64 (pow.f64 (/.f64 b a) 6) -1/8 1)) -1)
(pow.f64 (/.f64 (+.f64 1 (.f64 1/2 (pow.f64 (/.f64 b a) 2))) (-.f64 1 (.f64 (pow.f64 (/.f64 b a) 4) 1/4))) -1)
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1) 2))
(log.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1))))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)))
(exp.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 (/.f64 b a) 2))))
(exp.f64 (.f64 (log1p.f64 (.f64 -1/2 (pow.f64 (/.f64 b a) 2))) 1))
(fma.f64 1 (*.f64 -1/2 (pow.f64 (/.f64 b a) 2)) 1)
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(fma.f64 (/.f64 b a) (*.f64 -1/2 (/.f64 b a)) 1)
(fma.f64 (pow.f64 (/.f64 b a) 2) -1/2 1)
(fma.f64 (*.f64 -1/2 (pow.f64 (/.f64 b a) 2)) 1 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 4) (*.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) -1/2) 1)
(fma.f64 (cbrt.f64 (.f64 -1/2 (pow.f64 (/.f64 b a) 2))) (cbrt.f64 (.f64 (pow.f64 (/.f64 b a) 4) 1/4)) 1)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 b a) 4) 1/4)) (cbrt.f64 (.f64 -1/2 (pow.f64 (/.f64 b a) 2))) 1)
(fma.f64 (.f64 (/.f64 b a) (sqrt.f64 -1/2)) (.f64 (/.f64 b a) (sqrt.f64 -1/2)) 1)
(fma.f64 (/.f64 b (.f64 a a)) (.f64 b -1/2) 1)
(fma.f64 (*.f64 -1/2 (/.f64 b a)) (/.f64 b a) 1)
(fma.f64 (/.f64 -1/2 a) (/.f64 (/.f64 b a) (/.f64 1 b)) 1)
(fma.f64 (/.f64 -1/2 (cbrt.f64 (pow.f64 (/.f64 b a) -2))) (/.f64 (/.f64 b a) (cbrt.f64 (/.f64 a b))) 1)
(fma.f64 (/.f64 -1/2 (sqrt.f64 (/.f64 a b))) (pow.f64 (/.f64 a b) -3/2) 1)
(fma.f64 (/.f64 (*.f64 -1/2 (/.f64 b a)) 1) (/.f64 b a) 1)
(fma.f64 (/.f64 (*.f64 -1/2 (/.f64 b a)) a) b 1)
(fma.f64 (/.f64 (*.f64 -1/2 (/.f64 b a)) (neg.f64 a)) (neg.f64 b) 1)
(fma.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 (/.f64 b a)) 4)) (pow.f64 (cbrt.f64 (/.f64 b a)) 2) 1)
(fma.f64 (.f64 -1/2 (/.f64 b (.f64 a a))) b 1)

Outputs
1
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a)))
(*.f64 -1/2 (pow.f64 (/.f64 b a) 2))
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a)))
(*.f64 -1/2 (pow.f64 (/.f64 b a) 2))
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2)))
(.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a)))
(*.f64 -1/2 (pow.f64 (/.f64 b a) 2))
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
1
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
1
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 a 2))))
(+.f64 1 (.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1))) 1)
(+.f64 1 (.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(-.f64 (/.f64 1 (+.f64 1 (.f64 1/2 (pow.f64 (/.f64 b a) 2)))) (/.f64 (.f64 (pow.f64 (/.f64 b a) 4) 1/4) (+.f64 1 (*.f64 1/2 (pow.f64 (/.f64 b a) 2)))))
(/.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 b a) 4) 1/4)) (+.f64 1 (.f64 (pow.f64 (/.f64 b a) 2) 1/2)))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 b a) 4) 1/4)) (fma.f64 (pow.f64 (/.f64 b a) 2) 1/2 1))
(/.f64 (fma.f64 (pow.f64 (/.f64 b a) 4) -1/4 1) (fma.f64 (pow.f64 (/.f64 b a) 2) 1/2 1))
(*.f64 1 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1))
(+.f64 1 (.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(*.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1) 1)
(+.f64 1 (.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(*.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)) 2))
(+.f64 1 (.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)) 2) (cbrt.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)))
(+.f64 1 (.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(.f64 (hypot.f64 1 (.f64 (/.f64 b a) (sqrt.f64 -1/2))) (hypot.f64 1 (*.f64 (/.f64 b a) (sqrt.f64 -1/2))))
(+.f64 1 (.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(.f64 (fma.f64 (pow.f64 (/.f64 b a) 6) -1/8 1) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 (/.f64 b a) 4) 1/4 (.f64 1/2 (pow.f64 (/.f64 b a) 2))))))
(/.f64 (.f64 (fma.f64 (pow.f64 (/.f64 b a) 6) -1/8 1) 1) (+.f64 1 (fma.f64 (pow.f64 (/.f64 b a) 4) 1/4 (.f64 (pow.f64 (/.f64 b a) 2) 1/2))))
(/.f64 (fma.f64 (pow.f64 (/.f64 b a) 6) -1/8 1) (fma.f64 (pow.f64 (/.f64 b a) 4) 1/4 (fma.f64 (pow.f64 (/.f64 b a) 2) 1/2 1)))
(/.f64 (fma.f64 (pow.f64 (/.f64 b a) 6) 1/8 -1) (fma.f64 (pow.f64 (/.f64 b a) 4) -1/4 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) -1)))
(.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 b a) 4) 1/4)) (/.f64 1 (+.f64 1 (*.f64 1/2 (pow.f64 (/.f64 b a) 2)))))
(/.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 b a) 4) 1/4)) (+.f64 1 (.f64 (pow.f64 (/.f64 b a) 2) 1/2)))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 b a) 4) 1/4)) (fma.f64 (pow.f64 (/.f64 b a) 2) 1/2 1))
(/.f64 (fma.f64 (pow.f64 (/.f64 b a) 4) -1/4 1) (fma.f64 (pow.f64 (/.f64 b a) 2) 1/2 1))
(/.f64 1 (/.f64 (+.f64 1 (fma.f64 (pow.f64 (/.f64 b a) 4) 1/4 (*.f64 1/2 (pow.f64 (/.f64 b a) 2)))) (fma.f64 (pow.f64 (/.f64 b a) 6) -1/8 1)))
(/.f64 (.f64 (fma.f64 (pow.f64 (/.f64 b a) 6) -1/8 1) 1) (+.f64 1 (fma.f64 (pow.f64 (/.f64 b a) 4) 1/4 (.f64 (pow.f64 (/.f64 b a) 2) 1/2))))
(/.f64 (fma.f64 (pow.f64 (/.f64 b a) 6) -1/8 1) (fma.f64 (pow.f64 (/.f64 b a) 4) 1/4 (fma.f64 (pow.f64 (/.f64 b a) 2) 1/2 1)))
(/.f64 (fma.f64 (pow.f64 (/.f64 b a) 6) 1/8 -1) (fma.f64 (pow.f64 (/.f64 b a) 4) -1/4 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) -1)))
(/.f64 1 (/.f64 (+.f64 1 (.f64 1/2 (pow.f64 (/.f64 b a) 2))) (-.f64 1 (.f64 (pow.f64 (/.f64 b a) 4) 1/4))))
(/.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 b a) 4) 1/4)) (+.f64 1 (.f64 (pow.f64 (/.f64 b a) 2) 1/2)))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 b a) 4) 1/4)) (fma.f64 (pow.f64 (/.f64 b a) 2) 1/2 1))
(/.f64 (fma.f64 (pow.f64 (/.f64 b a) 4) -1/4 1) (fma.f64 (pow.f64 (/.f64 b a) 2) 1/2 1))
(/.f64 (fma.f64 (pow.f64 (/.f64 b a) 6) -1/8 1) (+.f64 1 (fma.f64 (pow.f64 (/.f64 b a) 4) 1/4 (*.f64 1/2 (pow.f64 (/.f64 b a) 2)))))
(/.f64 (.f64 (fma.f64 (pow.f64 (/.f64 b a) 6) -1/8 1) 1) (+.f64 1 (fma.f64 (pow.f64 (/.f64 b a) 4) 1/4 (.f64 (pow.f64 (/.f64 b a) 2) 1/2))))
(/.f64 (fma.f64 (pow.f64 (/.f64 b a) 6) -1/8 1) (fma.f64 (pow.f64 (/.f64 b a) 4) 1/4 (fma.f64 (pow.f64 (/.f64 b a) 2) 1/2 1)))
(/.f64 (fma.f64 (pow.f64 (/.f64 b a) 6) 1/8 -1) (fma.f64 (pow.f64 (/.f64 b a) 4) -1/4 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) -1)))
(/.f64 (fma.f64 (pow.f64 (/.f64 b a) 6) -1/8 1) (fma.f64 (pow.f64 (/.f64 b a) 4) 1/4 (+.f64 1 (*.f64 1/2 (pow.f64 (/.f64 b a) 2)))))
(/.f64 (.f64 (fma.f64 (pow.f64 (/.f64 b a) 6) -1/8 1) 1) (+.f64 1 (fma.f64 (pow.f64 (/.f64 b a) 4) 1/4 (.f64 (pow.f64 (/.f64 b a) 2) 1/2))))
(/.f64 (fma.f64 (pow.f64 (/.f64 b a) 6) -1/8 1) (fma.f64 (pow.f64 (/.f64 b a) 4) 1/4 (fma.f64 (pow.f64 (/.f64 b a) 2) 1/2 1)))
(/.f64 (fma.f64 (pow.f64 (/.f64 b a) 6) 1/8 -1) (fma.f64 (pow.f64 (/.f64 b a) 4) -1/4 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) -1)))
(/.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 b a) 4) 1/4)) (+.f64 1 (.f64 1/2 (pow.f64 (/.f64 b a) 2))))
(/.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 b a) 4) 1/4)) (+.f64 1 (.f64 (pow.f64 (/.f64 b a) 2) 1/2)))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 b a) 4) 1/4)) (fma.f64 (pow.f64 (/.f64 b a) 2) 1/2 1))
(/.f64 (fma.f64 (pow.f64 (/.f64 b a) 4) -1/4 1) (fma.f64 (pow.f64 (/.f64 b a) 2) 1/2 1))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 b a) 6) -1/8 1)) (neg.f64 (+.f64 1 (fma.f64 (pow.f64 (/.f64 b a) 4) 1/4 (*.f64 1/2 (pow.f64 (/.f64 b a) 2))))))
(/.f64 (.f64 (fma.f64 (pow.f64 (/.f64 b a) 6) -1/8 1) 1) (+.f64 1 (fma.f64 (pow.f64 (/.f64 b a) 4) 1/4 (.f64 (pow.f64 (/.f64 b a) 2) 1/2))))
(/.f64 (fma.f64 (pow.f64 (/.f64 b a) 6) -1/8 1) (fma.f64 (pow.f64 (/.f64 b a) 4) 1/4 (fma.f64 (pow.f64 (/.f64 b a) 2) 1/2 1)))
(/.f64 (fma.f64 (pow.f64 (/.f64 b a) 6) 1/8 -1) (fma.f64 (pow.f64 (/.f64 b a) 4) -1/4 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) -1)))
(/.f64 (neg.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 b a) 4) 1/4))) (neg.f64 (+.f64 1 (.f64 1/2 (pow.f64 (/.f64 b a) 2)))))
(/.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 b a) 4) 1/4)) (+.f64 1 (.f64 (pow.f64 (/.f64 b a) 2) 1/2)))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 b a) 4) 1/4)) (fma.f64 (pow.f64 (/.f64 b a) 2) 1/2 1))
(/.f64 (fma.f64 (pow.f64 (/.f64 b a) 4) -1/4 1) (fma.f64 (pow.f64 (/.f64 b a) 2) 1/2 1))
(/.f64 (fma.f64 (pow.f64 (/.f64 b a) 4) 1/4 -1) (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) -1))
(/.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 b a) 4) 1/4)) (+.f64 1 (.f64 (pow.f64 (/.f64 b a) 2) 1/2)))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 b a) 4) 1/4)) (fma.f64 (pow.f64 (/.f64 b a) 2) 1/2 1))
(/.f64 (fma.f64 (pow.f64 (/.f64 b a) 4) -1/4 1) (fma.f64 (pow.f64 (/.f64 b a) 2) 1/2 1))
(pow.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1) 1)
(+.f64 1 (.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(pow.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1) 2) 1/2)
(+.f64 1 (.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(pow.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1) 3) 1/3)
(+.f64 1 (.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)) 3)
(+.f64 1 (.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(pow.f64 (hypot.f64 1 (*.f64 (/.f64 b a) (sqrt.f64 -1/2))) 2)
(+.f64 1 (.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(pow.f64 (/.f64 (+.f64 1 (fma.f64 (pow.f64 (/.f64 b a) 4) 1/4 (*.f64 1/2 (pow.f64 (/.f64 b a) 2)))) (fma.f64 (pow.f64 (/.f64 b a) 6) -1/8 1)) -1)
(/.f64 (.f64 (fma.f64 (pow.f64 (/.f64 b a) 6) -1/8 1) 1) (+.f64 1 (fma.f64 (pow.f64 (/.f64 b a) 4) 1/4 (.f64 (pow.f64 (/.f64 b a) 2) 1/2))))
(/.f64 (fma.f64 (pow.f64 (/.f64 b a) 6) -1/8 1) (fma.f64 (pow.f64 (/.f64 b a) 4) 1/4 (fma.f64 (pow.f64 (/.f64 b a) 2) 1/2 1)))
(/.f64 (fma.f64 (pow.f64 (/.f64 b a) 6) 1/8 -1) (fma.f64 (pow.f64 (/.f64 b a) 4) -1/4 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) -1)))
(pow.f64 (/.f64 (+.f64 1 (.f64 1/2 (pow.f64 (/.f64 b a) 2))) (-.f64 1 (.f64 (pow.f64 (/.f64 b a) 4) 1/4))) -1)
(/.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 b a) 4) 1/4)) (+.f64 1 (.f64 (pow.f64 (/.f64 b a) 2) 1/2)))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 b a) 4) 1/4)) (fma.f64 (pow.f64 (/.f64 b a) 2) 1/2 1))
(/.f64 (fma.f64 (pow.f64 (/.f64 b a) 4) -1/4 1) (fma.f64 (pow.f64 (/.f64 b a) 2) 1/2 1))
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1) 2))
(+.f64 1 (.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(log.f64 (exp.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)))
(+.f64 1 (.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1))))
(+.f64 1 (.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1) 3))
(+.f64 1 (.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)))
(+.f64 1 (.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)))
(+.f64 1 (.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(exp.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 (/.f64 b a) 2))))
(exp.f64 (.f64 (log1p.f64 (.f64 -1/2 (pow.f64 (/.f64 b a) 2))) 1))
(exp.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 (/.f64 b a) 2))))
(fma.f64 1 (*.f64 -1/2 (pow.f64 (/.f64 b a) 2)) 1)
(+.f64 1 (.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(+.f64 1 (.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a))))
(fma.f64 (/.f64 b a) (*.f64 -1/2 (/.f64 b a)) 1)
(+.f64 1 (.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(fma.f64 (pow.f64 (/.f64 b a) 2) -1/2 1)
(+.f64 1 (.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(fma.f64 (*.f64 -1/2 (pow.f64 (/.f64 b a) 2)) 1 1)
(+.f64 1 (.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 4) (*.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) -1/2) 1)
(+.f64 1 (.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(fma.f64 (cbrt.f64 (.f64 -1/2 (pow.f64 (/.f64 b a) 2))) (cbrt.f64 (.f64 (pow.f64 (/.f64 b a) 4) 1/4)) 1)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 b a) 4) 1/4)) (cbrt.f64 (.f64 -1/2 (pow.f64 (/.f64 b a) 2))) 1)
(fma.f64 (cbrt.f64 (.f64 -1/2 (pow.f64 (/.f64 b a) 2))) (cbrt.f64 (.f64 (pow.f64 (/.f64 b a) 4) 1/4)) 1)
(fma.f64 (.f64 (/.f64 b a) (sqrt.f64 -1/2)) (.f64 (/.f64 b a) (sqrt.f64 -1/2)) 1)
(+.f64 1 (.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(fma.f64 (/.f64 b (.f64 a a)) (.f64 b -1/2) 1)
(+.f64 1 (.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(fma.f64 (*.f64 -1/2 (/.f64 b a)) (/.f64 b a) 1)
(+.f64 1 (.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(fma.f64 (/.f64 -1/2 a) (/.f64 (/.f64 b a) (/.f64 1 b)) 1)
(+.f64 1 (.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(fma.f64 (/.f64 -1/2 (cbrt.f64 (pow.f64 (/.f64 b a) -2))) (/.f64 (/.f64 b a) (cbrt.f64 (/.f64 a b))) 1)
(fma.f64 (/.f64 -1/2 (cbrt.f64 (pow.f64 (/.f64 b a) -2))) (/.f64 b (*.f64 (cbrt.f64 (/.f64 a b)) a)) 1)
(fma.f64 (/.f64 -1/2 (cbrt.f64 (pow.f64 (/.f64 b a) -2))) (/.f64 b (*.f64 a (cbrt.f64 (/.f64 a b)))) 1)
(fma.f64 (/.f64 -1/2 (sqrt.f64 (/.f64 a b))) (pow.f64 (/.f64 a b) -3/2) 1)
(fma.f64 (/.f64 (*.f64 -1/2 (/.f64 b a)) 1) (/.f64 b a) 1)
(+.f64 1 (.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(fma.f64 (/.f64 (*.f64 -1/2 (/.f64 b a)) a) b 1)
(+.f64 1 (.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(fma.f64 (/.f64 (*.f64 -1/2 (/.f64 b a)) (neg.f64 a)) (neg.f64 b) 1)
(+.f64 1 (.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(fma.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 (/.f64 b a)) 4)) (pow.f64 (cbrt.f64 (/.f64 b a)) 2) 1)
(+.f64 1 (.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)
(fma.f64 (.f64 -1/2 (/.f64 b (.f64 a a))) b 1)
(+.f64 1 (.f64 -1/2 (/.f64 (.f64 b b) (*.f64 a a))))
(fma.f64 -1/2 (pow.f64 (/.f64 b a) 2) 1)

eval73.0ms (1.7%)

Compiler: Compiled 2183 to 1306 computations (40.2% saved)

prune19.0ms (0.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	144	3	147

Error

Counts

147 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.7b	(+.f64 1 (*.f64 -1/2 (/.f64 (/.f64 b a) (/.f64 a b))))
✓	0.0b	(sqrt.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))))
	1.7b	1

Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes50.0ms (1.2%)

Counts

12 → 1

Calls

Call 1

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

Outputs
(sqrt.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))))

Calls

7 calls:

6.0ms	a
6.0ms	b
5.0ms	(*.f64 a a)
4.0ms	(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))
2.0ms	(sqrt.f64 (fabs.f64 (/.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	`(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 a a)`
0.0b	1	`(*.f64 b b)`

Compiler

Compiled 170 to 91 computations (46.5% saved)

regimes14.0ms (0.3%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	b
4.0ms	a
3.0ms	(*.f64 a a)
2.0ms	(*.f64 b b)

Results

Error	Segments	Branch
0.7b	1	`a`
0.7b	1	`b`
0.7b	1	`(*.f64 a a)`
0.7b	1	`(*.f64 b b)`

Compiler

Compiled 50 to 33 computations (34% saved)

regimes49.0ms (1.1%)

Accuracy

Total -13.5b remaining (-775%)

Threshold costs -13.5b (-775%)

Counts

2 → 1

Calls

Call 1

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

Outputs
1

Calls

4 calls:

41.0ms	a
3.0ms	b
2.0ms	(*.f64 a a)
2.0ms	(*.f64 b b)

Results

Error	Segments	Branch
1.7b	1	`a`
1.7b	1	`b`
1.7b	1	`(*.f64 a a)`
1.7b	1	`(*.f64 b b)`

Compiler

Compiled 30 to 20 computations (33.3% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	32
1	18	32
2	24	32
3	30	32
4	35	32
5	38	32
6	39	32

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

Outputs
(sqrt.f64 (-.f64 1 (/.f64 (/.f64 b a) (/.f64 a b))))
(+.f64 1 (*.f64 -1/2 (/.f64 (/.f64 b a) (/.f64 a b))))
(+.f64 1 (*.f64 (/.f64 (/.f64 b a) (/.f64 a b)) -1/2))
1

Compiler

Compiled 28 to 20 computations (28.6% saved)

soundness175.0ms (4.1%)

Algorithm

2×	egg-herbie

Rules

704×	`fma-def_binary64`
605×	`associate-/r*_binary64`
561×	`associate-l_binary64`
491×	`associate-r_binary64`
390×	`fma-neg_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
0	146	1152
1	329	1141
2	1072	1137
3	5326	1111

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 102 to 64 computations (37.3% saved)

end52.0ms (1.2%)

Compiler: Compiled 24 to 13 computations (45.8% saved)

Details

analyze15.0ms (0.4%)

sample1.1s (25.6%)

preprocess46.0ms (1.1%)

simplify44.0ms (1%)

eval1.0ms (0%)

prune2.0ms (0%)

localize11.0ms (0.3%)

series6.0ms (0.1%)

rewrite49.0ms (1.2%)

simplify70.0ms (1.7%)

localize11.0ms (0.3%)

series7.0ms (0.2%)

rewrite79.0ms (1.9%)

simplify141.0ms (3.3%)

localize11.0ms (0.3%)

series25.0ms (0.6%)

rewrite48.0ms (1.1%)

simplify50.0ms (1.2%)

eval152.0ms (3.6%)

prune88.0ms (2.1%)

localize4.0ms (0.1%)

localize13.0ms (0.3%)

series4.0ms (0.1%)

rewrite54.0ms (1.3%)

simplify69.0ms (1.6%)

localize11.0ms (0.3%)

series7.0ms (0.2%)

rewrite53.0ms (1.3%)

simplify68.0ms (1.6%)

localize31.0ms (0.7%)

series9.0ms (0.2%)

rewrite66.0ms (1.6%)

simplify150.0ms (3.5%)

eval383.0ms (9%)

prune112.0ms (2.6%)

localize25.0ms (0.6%)

series2.0ms (0.1%)

rewrite50.0ms (1.2%)

simplify50.0ms (1.2%)

localize12.0ms (0.3%)

series3.0ms (0.1%)

rewrite61.0ms (1.4%)

simplify101.0ms (2.4%)

localize11.0ms (0.2%)

series3.0ms (0.1%)

rewrite47.0ms (1.1%)

simplify56.0ms (1.3%)

eval160.0ms (3.8%)

prune79.0ms (1.9%)

localize38.0ms (0.9%)

series3.0ms (0.1%)

rewrite54.0ms (1.3%)

simplify69.0ms (1.6%)

eval73.0ms (1.7%)

prune19.0ms (0.4%)

regimes50.0ms (1.2%)

regimes14.0ms (0.3%)

regimes49.0ms (1.1%)

simplify4.0ms (0.1%)

soundness175.0ms (4.1%)

end52.0ms (1.2%)

Profiling