Details

analyze124.0ms (4.3%)

Algorithm

1×

Search

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.1s (38.3%)

Results

1.0s	8256×	body	256	valid
72.0ms	595×	body	256	invalid

Bogosity

preprocess113.0ms (3.9%)

Algorithm

2×	egg-herbie

Rules

855×	`fma-def_binary64`
576×	`distribute-rgt-in_binary64`
560×	`unsub-neg_binary64`
508×	`fma-neg_binary64`
432×	`distribute-rgt-out--_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
1	27	24
2	49	24
3	105	24
4	282	24
5	830	24
6	2127	24
7	3885	24
8	5644	24
9	6206	24
10	6319	24
11	6433	24
12	6513	24
13	6513	24
14	7894	24
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

Outputs
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(sqrt.f64 (-.f64 (.f64 b b) (.f64 a a)))
(sqrt.f64 (fma.f64 b b (*.f64 a (neg.f64 a))))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify108.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

697×	`fma-def_binary64`
609×	`unsub-neg_binary64`
578×	`fma-neg_binary64`
439×	`distribute-rgt-out--_binary64`
409×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	16	12
2	28	12
3	57	12
4	131	12
5	382	12
6	840	12
7	1673	12
8	3968	12
9	5453	12
10	6317	12
11	6738	12
12	6984	12
13	7099	12
14	7099	12

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

Outputs
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(sqrt.f64 (fma.f64 a a (*.f64 b (neg.f64 b))))

eval1.0ms (0%)

Compiler: Compiled 18 to 10 computations (44.4% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

30.6b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.6b	(sqrt.f64 (fma.f64 a a (*.f64 b (neg.f64 b))))
▶	30.6b	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))

Compiler

Compiled 20 to 12 computations (40% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	2.6b	(-.f64 (.f64 a a) (.f64 b b))
✓	28.5b	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))

Compiler

Compiled 25 to 6 computations (76% saved)

series6.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite88.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

811×	`pow1_binary64`
757×	`add-log-exp_binary64`
757×	`log1p-expm1-u_binary64`
757×	`expm1-log1p-u_binary64`
737×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	22
1	159	22
2	2211	22

Stop Event

1×	node limit

Counts

2 → 75

Calls

Call 1

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

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

Outputs

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

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

simplify55.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

562×	`associate-/l*_binary64`
429×	`distribute-rgt-in_binary64`
394×	`fma-neg_binary64`
382×	`distribute-lft-in_binary64`
319×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	241	2258
1	639	2115
2	2628	2007

Stop Event

1×	node limit

Counts

123 → 157

Calls

Call 1

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

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

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	3.3b	(fma.f64 a a (*.f64 b (neg.f64 b)))
✓	28.5b	(sqrt.f64 (fma.f64 a a (*.f64 b (neg.f64 b))))

Compiler

Compiled 25 to 6 computations (76% saved)

series5.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite51.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

529×	`pow1_binary64`
509×	`add-sqr-sqrt_binary64`
487×	`add-log-exp_binary64`
486×	`log1p-expm1-u_binary64`
486×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	22
1	142	11
2	1736	11

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

Inputs
(sqrt.f64 (fma.f64 a a (*.f64 b (neg.f64 b))))
(fma.f64 a a (*.f64 b (neg.f64 b)))

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

Outputs

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

simplify58.0ms (2%)

Algorithm

1×	egg-herbie

Rules

562×	`fma-def_binary64`
428×	`distribute-rgt-in_binary64`
362×	`log-prod_binary64`
359×	`fma-neg_binary64`
264×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	163	1432
1	445	1287
2	1883	1155
3	5436	1155

Stop Event

1×	node limit

Counts

96 → 128

Calls

Call 1

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

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

eval127.0ms (4.3%)

Compiler: Compiled 4899 to 2672 computations (45.5% saved)

prune64.0ms (2.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	280	5	285
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	282	5	287

Error

0.1b

Counts

287 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.9b	(-.f64 (/.f64 (*.f64 1/2 b) (/.f64 a b)) a)
▶	34.4b	(+.f64 a (.f64 -1/2 (/.f64 (.f64 b b) a)))
▶	30.6b	(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b)))
▶	31.1b	(neg.f64 a)
	33.1b	a

Compiler

Compiled 39 to 25 computations (35.9% saved)

localize2.0ms (0.1%)

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

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	28.5b	(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b)))

Compiler

Compiled 25 to 6 computations (76% saved)

series5.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

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

rewrite76.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

941×	`pow1_binary64`
880×	`add-log-exp_binary64`
880×	`log1p-expm1-u_binary64`
880×	`expm1-log1p-u_binary64`
85×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	161	12
2	2454	12

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

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

simplify48.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

761×	`fma-def_binary64`
727×	`associate-/l*_binary64`
570×	`associate-l_binary64`
523×	`associate-r_binary64`
445×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	166	988
1	505	794
2	2335	594

Stop Event

1×	node limit

Counts

47 → 63

Calls

Call 1

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

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

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 -1/2 (/.f64 (.f64 b b) a))
✓	6.5b	(/.f64 (*.f64 b b) a)

Compiler

Compiled 29 to 10 computations (65.5% saved)

series29.0ms (1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
23.0ms	a	@	0	(.f64 -1/2 (/.f64 (.f64 b b) a))
1.0ms	a	@	-inf	(/.f64 (*.f64 b b) a)
1.0ms	b	@	inf	(/.f64 (*.f64 b b) a)
1.0ms	b	@	0	(/.f64 (*.f64 b b) a)
1.0ms	a	@	0	(/.f64 (*.f64 b b) a)

rewrite55.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

761×	`pow1_binary64`
708×	`add-log-exp_binary64`
708×	`log1p-expm1-u_binary64`
708×	`expm1-log1p-u_binary64`
692×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	149	17
2	1932	17

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

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

Outputs

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

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

simplify67.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

916×	`log-div_binary64`
690×	`times-frac_binary64`
620×	`associate-/l*_binary64`
478×	`unswap-sqr_binary64`
475×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	138	926
1	355	917
2	1437	911
3	6842	911

Stop Event

1×	node limit

Counts

103 → 69

Calls

Call 1

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

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

localize30.0ms (1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (*.f64 1/2 b) (/.f64 a b))

Compiler

Compiled 27 to 13 computations (51.9% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite46.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

920×	`pow1_binary64`
861×	`add-log-exp_binary64`
861×	`log1p-expm1-u_binary64`
861×	`expm1-log1p-u_binary64`
843×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	155	10
2	2272	10

Stop Event

1×	node limit

Counts

1 → 51

Calls

Call 1

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

Outputs

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

simplify55.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

909×	`log-div_binary64`
701×	`associate-/l*_binary64`
542×	`times-frac_binary64`
531×	`fma-def_binary64`
373×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	141	866
1	385	866
2	1443	866
3	6739	866

Stop Event

1×	node limit

Counts

75 → 57

Calls

Call 1

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

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

eval73.0ms (2.5%)

Compiler: Compiled 3012 to 1716 computations (43% saved)

prune66.0ms (2.3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	189	0	189
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	189	5	194

Error

0.1b

Counts

194 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	30.9b	(-.f64 (/.f64 (*.f64 1/2 b) (/.f64 a b)) a)
✓	34.4b	(+.f64 a (.f64 -1/2 (/.f64 (.f64 b b) a)))
✓	30.6b	(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b)))
✓	31.1b	(neg.f64 a)
	33.1b	a

Compiler

Compiled 39 to 25 computations (35.9% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

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

Error

0.1b

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	30.9b	(-.f64 (/.f64 (*.f64 1/2 b) (/.f64 a b)) a)
✓	34.4b	(+.f64 a (.f64 -1/2 (/.f64 (.f64 b b) a)))
✓	30.6b	(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b)))
✓	31.1b	(neg.f64 a)
	33.1b	a

Compiler

Compiled 39 to 25 computations (35.9% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

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

Error

0.1b

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	30.9b	(-.f64 (/.f64 (*.f64 1/2 b) (/.f64 a b)) a)
✓	34.4b	(+.f64 a (.f64 -1/2 (/.f64 (.f64 b b) a)))
✓	30.6b	(sqrt.f64 (*.f64 (-.f64 a b) (+.f64 a b)))
✓	31.1b	(neg.f64 a)
	33.1b	a

Compiler

Compiled 39 to 25 computations (35.9% saved)

regimes145.0ms (5%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

6 calls:

84.0ms	b
14.0ms	(-.f64 (.f64 a a) (.f64 b b))
13.0ms	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
11.0ms	(*.f64 b b)
11.0ms	(*.f64 a a)

Results

Error	Segments	Branch
0.7b	2	`a`
20.2b	8	`b`
15.2b	3	`(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))`
15.2b	3	`(-.f64 (.f64 a a) (.f64 b b))`
15.2b	3	`(*.f64 a a)`
25.2b	3	`(*.f64 b b)`

Compiler

Compiled 82 to 45 computations (45.1% saved)

bsearch37.0ms (1.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
37.0ms	-1.3312098895913875e-279	1.341130402948111e-269

Results

37.0ms	165×	body	256	invalid
0.0ms	3×	body	256	valid

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes54.0ms (1.9%)

Accuracy

Total -62.5b remaining (-7493.9%)

Threshold costs -62.5b (-7493.9%)

Counts

3 → 2

Calls

Call 1

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

Outputs
(neg.f64 a)
a

Calls

3 calls:

35.0ms	b
12.0ms	(*.f64 b b)
6.0ms	a

Results

Error	Segments	Branch
0.8b	2	`a`
21.3b	10	`b`
25.9b	5	`(*.f64 b b)`

Compiler

Compiled 25 to 15 computations (40% saved)

bsearch33.0ms (1.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
33.0ms	-1.3312098895913875e-279	1.341130402948111e-269

Results

32.0ms	169×	body	256	invalid
0.0ms	2×	body	256	valid

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify31.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	31
1	20	31
2	23	31
3	24	31

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs

(if (<=.f64 a -6801618836730253/5109351192408882717840314145374306729132675226714771306246520940639262443184548008409492391661147394788716663921132787824569441250287599771492279803609168436019214522754779331884896566897569247187592593266032445422926874765109428195555469487226993043218229521601935466604437747789680665415385088) (-.f64 (/.f64 (*.f64 1/2 b) (/.f64 a b)) a) a)

(if (<=.f64 a -6801618836730253/5109351192408882717840314145374306729132675226714771306246520940639262443184548008409492391661147394788716663921132787824569441250287599771492279803609168436019214522754779331884896566897569247187592593266032445422926874765109428195555469487226993043218229521601935466604437747789680665415385088) (neg.f64 a) a)

Outputs

(if (<=.f64 a -6801618836730253/5109351192408882717840314145374306729132675226714771306246520940639262443184548008409492391661147394788716663921132787824569441250287599771492279803609168436019214522754779331884896566897569247187592593266032445422926874765109428195555469487226993043218229521601935466604437747789680665415385088) (-.f64 (/.f64 (*.f64 1/2 b) (/.f64 a b)) a) a)

(if (<=.f64 a -6801618836730253/5109351192408882717840314145374306729132675226714771306246520940639262443184548008409492391661147394788716663921132787824569441250287599771492279803609168436019214522754779331884896566897569247187592593266032445422926874765109428195555469487226993043218229521601935466604437747789680665415385088) (neg.f64 a) a)

Compiler

Compiled 28 to 18 computations (35.7% saved)

soundness69.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

562×	`associate-/l*_binary64`
429×	`distribute-rgt-in_binary64`
394×	`fma-neg_binary64`
382×	`distribute-lft-in_binary64`
319×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	241	2258
1	639	2115
2	2628	2007

Stop Event

1×	node limit

Compiler

Compiled 80 to 55 computations (31.3% saved)

end38.0ms (1.3%)

Compiler: Compiled 24 to 14 computations (41.7% saved)

Details

analyze124.0ms (4.3%)

sample1.1s (38.3%)

preprocess113.0ms (3.9%)

simplify108.0ms (3.7%)

eval1.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.3%)

series6.0ms (0.2%)

rewrite88.0ms (3%)

simplify55.0ms (1.9%)

localize8.0ms (0.3%)

series5.0ms (0.2%)

rewrite51.0ms (1.8%)

simplify58.0ms (2%)

eval127.0ms (4.3%)

prune64.0ms (2.2%)

localize2.0ms (0.1%)

localize7.0ms (0.3%)

series5.0ms (0.2%)

rewrite76.0ms (2.6%)

simplify48.0ms (1.7%)

localize9.0ms (0.3%)

series29.0ms (1%)

rewrite55.0ms (1.9%)

simplify67.0ms (2.3%)

localize30.0ms (1%)

series2.0ms (0.1%)

rewrite46.0ms (1.6%)

simplify55.0ms (1.9%)

eval73.0ms (2.5%)

prune66.0ms (2.3%)

eval0.0ms (0%)

prune2.0ms (0.1%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes145.0ms (5%)

bsearch37.0ms (1.3%)

regimes54.0ms (1.9%)

bsearch33.0ms (1.1%)

simplify31.0ms (1%)

soundness69.0ms (2.4%)

end38.0ms (1.3%)

Profiling