Details

analyze185.0ms (2.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	74.9%	0.1%	6
25%	59.3%	15.7%	7
25%	51.5%	23.5%	8
25%	42.9%	32.1%	9
28.1%	26.9%	45%	10
31.6%	19.7%	48.7%	11
33.4%	10.4%	56.2%	12

Compiler

Compiled 32 to 20 computations (37.5% saved)

sample1.8s (22.1%)

Results

1.6s	8256×	body	256	valid
165.0ms	1028×	body	256	invalid

preprocess51.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

511×	`unsub-neg_binary64`
500×	`sub-neg_binary64`
421×	`fma-neg_binary64`
351×	`associate--l+_binary64`
339×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	78
1	101	74
2	350	74
3	1237	74
4	3107	66
5	5489	66
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs

(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (-.f64 1 a)) (*.f64 (*.f64 b b) (+.f64 3 a))))) 1)

(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 b b) (-.f64 1 b)) (*.f64 (*.f64 a a) (+.f64 3 b))))) 1)

Outputs
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(+.f64 (+.f64 (.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 b (.f64 b (+.f64 a 3))))) (pow.f64 (fma.f64 a a (*.f64 b b)) 2)) -1)
(+.f64 (fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (.f64 a (-.f64 1 a)))) (pow.f64 (fma.f64 a a (.f64 b b)) 2)) -1)
(+.f64 (fma.f64 4 (fma.f64 a (-.f64 a (.f64 a a)) (.f64 b (.f64 b (+.f64 a 3)))) (pow.f64 (fma.f64 a a (.f64 b b)) 2)) -1)
(+.f64 (fma.f64 4 (fma.f64 a (-.f64 a (.f64 a a)) (.f64 (*.f64 b b) (+.f64 a 3))) (pow.f64 (hypot.f64 a b) 4)) -1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (.f64 b b) (-.f64 1 b)) (.f64 (*.f64 a a) (+.f64 3 b))))) 1)
(+.f64 (pow.f64 (fma.f64 a a (.f64 b b)) 2) (-.f64 (.f64 4 (fma.f64 (.f64 b b) (-.f64 1 b) (.f64 a (*.f64 a (+.f64 b 3))))) 1))
(+.f64 (pow.f64 (fma.f64 a a (.f64 b b)) 2) (fma.f64 4 (fma.f64 a (.f64 a (+.f64 b 3)) (.f64 b (.f64 b (-.f64 1 b)))) -1))
(+.f64 (pow.f64 (fma.f64 a a (.f64 b b)) 2) (fma.f64 4 (fma.f64 a (.f64 a (+.f64 b 3)) (-.f64 (*.f64 b b) (pow.f64 b 3))) -1))
(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 b (-.f64 b (.f64 b b)) (.f64 (*.f64 a a) (+.f64 b 3))) -1))

Compiler

Compiled 33 to 21 computations (36.4% saved)

simplify33.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

602×	`fma-def_binary64`
565×	`cancel-sign-sub-inv_binary64`
400×	`associate-+l-_binary64`
388×	`associate--r-_binary64`
342×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	19	39
1	57	37
2	198	37
3	696	37
4	2292	33
5	4251	33

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)

Outputs
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(+.f64 (pow.f64 (fma.f64 a a (.f64 b b)) 2) (-.f64 (.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 b (*.f64 b (+.f64 a 3))))) 1))
(+.f64 (fma.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 b (.f64 b (+.f64 a 3)))) (pow.f64 (fma.f64 a a (.f64 b b)) 2)) -1)
(+.f64 (pow.f64 (fma.f64 a a (.f64 b b)) 2) (fma.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 (.f64 a a) (-.f64 1 a))) -1))
(+.f64 (pow.f64 (fma.f64 a a (.f64 b b)) 2) (fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 (.f64 a a) (-.f64 1 a))) -1))
(fma.f64 4 (-.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)) (pow.f64 a 3)) (+.f64 (pow.f64 (hypot.f64 a b) 4) -1))
(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a (-.f64 a (.f64 a a)) (.f64 b (*.f64 b (+.f64 a 3)))) -1))

eval1.0ms (0%)

Compiler: Compiled 54 to 32 computations (40.7% saved)

prune2.0ms (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

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
▶	0.0b	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a (-.f64 a (.f64 a a)) (.f64 b (*.f64 b (+.f64 a 3)))) -1))

Status

Error

Program

▶

0.2b

(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (-.f64 1 a)) (*.f64 (*.f64 b b) (+.f64 3 a))))) 1)

▶

0.0b

(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a (-.f64 a (*.f64 a a)) (*.f64 b (*.f64 b (+.f64 a 3)))) -1))

Compiler

Compiled 56 to 35 computations (37.5% saved)

localize34.0ms (0.4%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(hypot.f64 a b)
	0.0b	(pow.f64 (hypot.f64 a b) 4)
	0.0b	(fma.f64 4 (fma.f64 a (-.f64 a (.f64 a a)) (.f64 b (*.f64 b (+.f64 a 3)))) -1)
	0.0b	(*.f64 b (+.f64 a 3))
✓	0.0b	(-.f64 a (*.f64 a a))
✓	0.0b	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a (-.f64 a (.f64 a a)) (.f64 b (*.f64 b (+.f64 a 3)))) -1))
✓	0.1b	(fma.f64 a (-.f64 a (.f64 a a)) (.f64 b (*.f64 b (+.f64 a 3))))
✓	0.1b	(.f64 b (.f64 b (+.f64 a 3)))

Compiler

Compiled 92 to 43 computations (53.3% saved)

series16.0ms (0.2%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	b	@	0	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a (-.f64 a (.f64 a a)) (.f64 b (*.f64 b (+.f64 a 3)))) -1))
2.0ms	b	@	inf	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a (-.f64 a (.f64 a a)) (.f64 b (*.f64 b (+.f64 a 3)))) -1))
1.0ms	a	@	0	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a (-.f64 a (.f64 a a)) (.f64 b (*.f64 b (+.f64 a 3)))) -1))
1.0ms	a	@	inf	(-.f64 a (*.f64 a a))
1.0ms	b	@	0	(.f64 b (.f64 b (+.f64 a 3)))

rewrite100.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

816×	`log-prod_binary64`
723×	`fma-def_binary64`
390×	`fma-neg_binary64`
309×	`expm1-udef_binary64`
309×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	70
1	362	70
2	4967	70

Stop Event

1×	node limit

Counts

4 → 221

Calls

Call 1

Inputs
(.f64 b (.f64 b (+.f64 a 3)))
(fma.f64 a (-.f64 a (.f64 a a)) (.f64 b (*.f64 b (+.f64 a 3))))
(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a (-.f64 a (.f64 a a)) (.f64 b (*.f64 b (+.f64 a 3)))) -1))
(-.f64 a (*.f64 a a))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (+.f64 a 3) (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 b a) b) (.f64 (.f64 b 3) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a (.f64 b b)) (.f64 3 (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 3 (.f64 b b)) (.f64 a (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b (.f64 b a)) (.f64 b (.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 b b) a) (.f64 (.f64 b b) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 b b) 3) (.f64 (.f64 b b) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 a 3)) b) b)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 a 3)) b) b)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 a 3)) b) b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 a 3)) b) b))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 a 3)) b) b))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 a 3) (.f64 b b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 b b) (+.f64 27 (pow.f64 a 3))) (-.f64 (fma.f64 a a 9) (.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 b b) (fma.f64 a a -9)) (+.f64 a -3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (+.f64 a 3) (.f64 b b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (+.f64 a 3) (.f64 b b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (+.f64 a 3) (.f64 b b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 b (sqrt.f64 (+.f64 a 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (+.f64 a 3) (.f64 b b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 a 3)) b) b))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 a 3) (.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (+.f64 a 3) (.f64 b b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 b 3) (pow.f64 (.f64 b (+.f64 a 3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 b (+.f64 a 3)) 3) (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (+.f64 a 3) (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b (.f64 b a) (.f64 b (.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (.f64 b b) (.f64 3 (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (.f64 b b) (.f64 a (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 b b) a (.f64 (.f64 b b) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 b b) 3 (.f64 (.f64 b b) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 b a) b (.f64 (.f64 b 3) b))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (+.f64 a 3) (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (+.f64 a 3) (.f64 b b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (+.f64 a 3) (.f64 b b))))))))
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(fma.f64 (neg.f64 (cbrt.f64 (.f64 a a))) (cbrt.f64 (pow.f64 a 4)) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (.f64 a a) (pow.f64 a 4)) (/.f64 1 (fma.f64 a a a)) (fma.f64 (neg.f64 a) a (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (.f64 a a) (pow.f64 a 4)) (/.f64 1 (fma.f64 a a a)) (fma.f64 (neg.f64 (.f64 a a)) 1 (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (.f64 a a) (pow.f64 a 4)) (/.f64 1 (fma.f64 a a a)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 a a))) (cbrt.f64 (pow.f64 a 4)) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 a) a a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (neg.f64 (.f64 a a))) (cbrt.f64 (neg.f64 (.f64 a a)))) (cbrt.f64 (neg.f64 (.f64 a a))) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 a 4))) (sqrt.f64 (cbrt.f64 (.f64 a a))) (neg.f64 (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 a 4))) (sqrt.f64 (cbrt.f64 (.f64 a a))) (.f64 (neg.f64 (.f64 a a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (.f64 a a))) (sqrt.f64 (neg.f64 (.f64 a a))) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 a) a) (-.f64 (sqrt.f64 a) a) (fma.f64 (neg.f64 a) a (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 a) a) (-.f64 (sqrt.f64 a) a) (fma.f64 (neg.f64 (.f64 a a)) 1 (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 a) a) (-.f64 (sqrt.f64 a) a) (fma.f64 (neg.f64 (cbrt.f64 (.f64 a a))) (cbrt.f64 (pow.f64 a 4)) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 a 4))) (cbrt.f64 (.f64 a a)) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -1 a 1) a (fma.f64 (neg.f64 a) a (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -1 a 1) a (fma.f64 (neg.f64 (.f64 a a)) 1 (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -1 a 1) a (fma.f64 (neg.f64 (cbrt.f64 (.f64 a a))) (cbrt.f64 (pow.f64 a 4)) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (neg.f64 a) 1) a a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (neg.f64 a) (cbrt.f64 (.f64 a a))) (cbrt.f64 a) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (neg.f64 a) (sqrt.f64 a)) (sqrt.f64 a) a)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 a (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (-.f64 a (.f64 a a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 a (*.f64 a a))))))))

simplify68.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

970×	`fma-def_binary64`
553×	`distribute-rgt-in_binary64`
543×	`distribute-lft-in_binary64`
385×	`fma-neg_binary64`
359×	`+-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	121	1442
1	378	1372
2	1297	1327
3	4857	1311

Stop Event

1×	node limit

Counts

305 → 273

Calls

Call 1

Inputs
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 3 (pow.f64 b 2))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(*.f64 a (pow.f64 b 2))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(*.f64 a (pow.f64 b 2))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(*.f64 3 (pow.f64 b 2))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(+.f64 (.f64 3 (pow.f64 b 2)) (+.f64 (.f64 a (pow.f64 b 2)) (pow.f64 a 2)))
(+.f64 (.f64 3 (pow.f64 b 2)) (+.f64 (.f64 a (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))))
(*.f64 -1 (pow.f64 a 3))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (pow.f64 a 2) (+.f64 (.f64 a (pow.f64 b 2)) (.f64 -1 (pow.f64 a 3))))
(+.f64 (.f64 3 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (+.f64 (.f64 a (pow.f64 b 2)) (*.f64 -1 (pow.f64 a 3)))))
(*.f64 -1 (pow.f64 a 3))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (pow.f64 a 2) (+.f64 (.f64 a (pow.f64 b 2)) (.f64 -1 (pow.f64 a 3))))
(+.f64 (.f64 3 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (+.f64 (.f64 a (pow.f64 b 2)) (*.f64 -1 (pow.f64 a 3)))))
(*.f64 a (-.f64 a (pow.f64 a 2)))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(-.f64 (+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4)) 1)
(-.f64 (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 b 4))) 1)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 b 4)))) 1)
(-.f64 (+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (.f64 a (pow.f64 b 2))) (pow.f64 b 4))))) 1)
(pow.f64 a 4)
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 (+.f64 (*.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (pow.f64 a 4)))
(+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 a 4))))
(pow.f64 a 4)
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 (+.f64 (*.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (pow.f64 a 4)))
(+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 a 4))))
(-.f64 (+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (pow.f64 a 4)) 1)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (-.f64 a (pow.f64 a 2)))) (pow.f64 a 4))) 1)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (-.f64 a (pow.f64 a 2)))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))) 1)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (.f64 (+.f64 (.f64 5/64 (/.f64 1 (pow.f64 a 6))) (.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a 3)) 2) (*.f64 1/16 (/.f64 1 (pow.f64 a 6)))))) (pow.f64 b 8)))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))) 1)
(pow.f64 b 4)
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (*.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (pow.f64 b 4))
(-.f64 (+.f64 (.f64 1/2 (pow.f64 a 4)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 -1/2 (pow.f64 a 4)) (+.f64 (.f64 4 (*.f64 a (-.f64 a (pow.f64 a 2)))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))))) 1)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (.f64 1/2 (pow.f64 a 4)) (+.f64 (.f64 -1/2 (pow.f64 a 4)) (+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a 4)) (*.f64 1/4 (pow.f64 a 4))) (pow.f64 a 2)) (pow.f64 b 2))))))))))) 1)
(pow.f64 b 4)
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (*.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (pow.f64 b 4))
(-.f64 (+.f64 (.f64 1/2 (pow.f64 a 4)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 -1/2 (pow.f64 a 4)) (+.f64 (.f64 4 (*.f64 a (-.f64 a (pow.f64 a 2)))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))))) 1)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (.f64 1/2 (pow.f64 a 4)) (+.f64 (.f64 -1/2 (pow.f64 a 4)) (+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a 4)) (*.f64 1/4 (pow.f64 a 4))) (pow.f64 a 2)) (pow.f64 b 2))))))))))) 1)
a
(+.f64 (*.f64 -1 (pow.f64 a 2)) a)
(+.f64 (*.f64 -1 (pow.f64 a 2)) a)
(+.f64 (*.f64 -1 (pow.f64 a 2)) a)
(*.f64 -1 (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 a 2)) a)
(+.f64 (*.f64 -1 (pow.f64 a 2)) a)
(+.f64 (*.f64 -1 (pow.f64 a 2)) a)
(*.f64 -1 (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 a 2)) a)
(+.f64 (*.f64 -1 (pow.f64 a 2)) a)
(+.f64 (*.f64 -1 (pow.f64 a 2)) a)

Outputs
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(*.f64 3 (pow.f64 b 2))
(.f64 (.f64 b b) 3)
(.f64 b (.f64 b 3))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(*.f64 a (pow.f64 b 2))
(.f64 (.f64 b b) a)
(.f64 (.f64 a b) b)
(.f64 b (.f64 b a))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(*.f64 a (pow.f64 b 2))
(.f64 (.f64 b b) a)
(.f64 (.f64 a b) b)
(.f64 b (.f64 b a))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(*.f64 3 (pow.f64 b 2))
(.f64 (.f64 b b) 3)
(.f64 b (.f64 b 3))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(+.f64 (.f64 3 (pow.f64 b 2)) (+.f64 (.f64 a (pow.f64 b 2)) (pow.f64 a 2)))
(+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (*.f64 a a))
(fma.f64 (.f64 b b) (+.f64 3 a) (.f64 a a))
(fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a a))
(+.f64 (.f64 3 (pow.f64 b 2)) (+.f64 (.f64 a (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))))
(+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3))))
(fma.f64 (.f64 b b) (+.f64 3 a) (-.f64 (.f64 a a) (pow.f64 a 3)))
(fma.f64 a a (fma.f64 (*.f64 b b) (+.f64 3 a) (neg.f64 (pow.f64 a 3))))
(-.f64 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a a)) (pow.f64 a 3))
(*.f64 -1 (pow.f64 a 3))
(neg.f64 (pow.f64 a 3))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3)))
(-.f64 (*.f64 a a) (pow.f64 a 3))
(+.f64 (pow.f64 a 2) (+.f64 (.f64 a (pow.f64 b 2)) (.f64 -1 (pow.f64 a 3))))
(+.f64 (fma.f64 a (.f64 b b) (.f64 a a)) (neg.f64 (pow.f64 a 3)))
(-.f64 (.f64 a (+.f64 (.f64 b b) a)) (pow.f64 a 3))
(fma.f64 a (fma.f64 b b a) (neg.f64 (pow.f64 a 3)))
(.f64 a (-.f64 (fma.f64 b b a) (.f64 a a)))
(+.f64 (.f64 3 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (+.f64 (.f64 a (pow.f64 b 2)) (*.f64 -1 (pow.f64 a 3)))))
(+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3))))
(fma.f64 (.f64 b b) (+.f64 3 a) (-.f64 (.f64 a a) (pow.f64 a 3)))
(fma.f64 a a (fma.f64 (*.f64 b b) (+.f64 3 a) (neg.f64 (pow.f64 a 3))))
(-.f64 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a a)) (pow.f64 a 3))
(*.f64 -1 (pow.f64 a 3))
(neg.f64 (pow.f64 a 3))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3)))
(-.f64 (*.f64 a a) (pow.f64 a 3))
(+.f64 (pow.f64 a 2) (+.f64 (.f64 a (pow.f64 b 2)) (.f64 -1 (pow.f64 a 3))))
(+.f64 (fma.f64 a (.f64 b b) (.f64 a a)) (neg.f64 (pow.f64 a 3)))
(-.f64 (.f64 a (+.f64 (.f64 b b) a)) (pow.f64 a 3))
(fma.f64 a (fma.f64 b b a) (neg.f64 (pow.f64 a 3)))
(.f64 a (-.f64 (fma.f64 b b a) (.f64 a a)))
(+.f64 (.f64 3 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (+.f64 (.f64 a (pow.f64 b 2)) (*.f64 -1 (pow.f64 a 3)))))
(+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3))))
(fma.f64 (.f64 b b) (+.f64 3 a) (-.f64 (.f64 a a) (pow.f64 a 3)))
(fma.f64 a a (fma.f64 (*.f64 b b) (+.f64 3 a) (neg.f64 (pow.f64 a 3))))
(-.f64 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a a)) (pow.f64 a 3))
(*.f64 a (-.f64 a (pow.f64 a 2)))
(+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3)))
(-.f64 (*.f64 a a) (pow.f64 a 3))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3))))
(fma.f64 (.f64 b b) (+.f64 3 a) (-.f64 (.f64 a a) (pow.f64 a 3)))
(fma.f64 a a (fma.f64 (*.f64 b b) (+.f64 3 a) (neg.f64 (pow.f64 a 3))))
(-.f64 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a a)) (pow.f64 a 3))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3))))
(fma.f64 (.f64 b b) (+.f64 3 a) (-.f64 (.f64 a a) (pow.f64 a 3)))
(fma.f64 a a (fma.f64 (*.f64 b b) (+.f64 3 a) (neg.f64 (pow.f64 a 3))))
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(+.f64 (fma.f64 (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 a 4))) (.f64 b b) (+.f64 (fma.f64 4 (.f64 a (-.f64 a (*.f64 a a))) (pow.f64 a 4)) (pow.f64 b 4))) -1)
(+.f64 -1 (+.f64 (fma.f64 (.f64 a 4) (-.f64 a (.f64 a a)) (pow.f64 a 4)) (fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) (+.f64 12 (*.f64 a 4))) (pow.f64 b 4))))
(+.f64 -1 (+.f64 (pow.f64 b 4) (fma.f64 b (.f64 b (fma.f64 2 (.f64 a a) (fma.f64 a 4 12))) (fma.f64 (fma.f64 a (neg.f64 a) a) (*.f64 a 4) (pow.f64 a 4)))))
(+.f64 (fma.f64 a (.f64 (fma.f64 a (neg.f64 a) a) 4) (pow.f64 a 4)) (fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (*.f64 a a) (fma.f64 a 4 12))) -1))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (.f64 1/2 (pow.f64 a 4)) (+.f64 (.f64 -1/2 (pow.f64 a 4)) (+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a 4)) (*.f64 1/4 (pow.f64 a 4))) (pow.f64 a 2)) (pow.f64 b 2))))))))))) 1)
(+.f64 (fma.f64 (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 a 4))) (.f64 b b) (+.f64 (fma.f64 4 (.f64 a (-.f64 a (*.f64 a a))) (pow.f64 a 4)) (pow.f64 b 4))) -1)
(+.f64 -1 (+.f64 (fma.f64 (.f64 a 4) (-.f64 a (.f64 a a)) (pow.f64 a 4)) (fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) (+.f64 12 (*.f64 a 4))) (pow.f64 b 4))))
(+.f64 -1 (+.f64 (pow.f64 b 4) (fma.f64 b (.f64 b (fma.f64 2 (.f64 a a) (fma.f64 a 4 12))) (fma.f64 (fma.f64 a (neg.f64 a) a) (*.f64 a 4) (pow.f64 a 4)))))
(+.f64 (fma.f64 a (.f64 (fma.f64 a (neg.f64 a) a) 4) (pow.f64 a 4)) (fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (*.f64 a a) (fma.f64 a 4 12))) -1))
a
(+.f64 (*.f64 -1 (pow.f64 a 2)) a)
(-.f64 a (*.f64 a a))
(fma.f64 a (neg.f64 a) a)
(+.f64 (*.f64 -1 (pow.f64 a 2)) a)
(-.f64 a (*.f64 a a))
(fma.f64 a (neg.f64 a) a)
(+.f64 (*.f64 -1 (pow.f64 a 2)) a)
(-.f64 a (*.f64 a a))
(fma.f64 a (neg.f64 a) a)
(*.f64 -1 (pow.f64 a 2))
(neg.f64 (*.f64 a a))
(*.f64 a (neg.f64 a))
(+.f64 (*.f64 -1 (pow.f64 a 2)) a)
(-.f64 a (*.f64 a a))
(fma.f64 a (neg.f64 a) a)
(+.f64 (*.f64 -1 (pow.f64 a 2)) a)
(-.f64 a (*.f64 a a))
(fma.f64 a (neg.f64 a) a)
(+.f64 (*.f64 -1 (pow.f64 a 2)) a)
(-.f64 a (*.f64 a a))
(fma.f64 a (neg.f64 a) a)
(*.f64 -1 (pow.f64 a 2))
(neg.f64 (*.f64 a a))
(*.f64 a (neg.f64 a))
(+.f64 (*.f64 -1 (pow.f64 a 2)) a)
(-.f64 a (*.f64 a a))
(fma.f64 a (neg.f64 a) a)
(+.f64 (*.f64 -1 (pow.f64 a 2)) a)
(-.f64 a (*.f64 a a))
(fma.f64 a (neg.f64 a) a)
(+.f64 (*.f64 -1 (pow.f64 a 2)) a)
(-.f64 a (*.f64 a a))
(fma.f64 a (neg.f64 a) a)

localize167.0ms (2.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(.f64 (.f64 a a) (-.f64 1 a))
	0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
	0.0b	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
	0.0b	(+.f64 (.f64 a a) (.f64 b b))
✓	0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
✓	0.1b	(.f64 (.f64 a a) (-.f64 1 a))
✓	0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
✓	0.5b	(.f64 (.f64 b b) (+.f64 3 a))

Compiler

Compiled 138 to 63 computations (54.3% saved)

series9.0ms (0.1%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	b	@	inf	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
1.0ms	b	@	0	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
1.0ms	b	@	inf	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
1.0ms	a	@	0	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
0.0ms	a	@	inf	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

rewrite111.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

514×	`fma-neg_binary64`
345×	`expm1-udef_binary64`
344×	`log1p-udef_binary64`
212×	`add-sqr-sqrt_binary64`
208×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	67
1	420	63
2	6115	63

Stop Event

1×	node limit

Counts

4 → 110

Calls

Call 1

Inputs
(.f64 (.f64 b b) (+.f64 3 a))
(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
(.f64 (.f64 a a) (-.f64 1 a))
(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b (.f64 b a)) (.f64 b (.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b (.f64 b 3)) (.f64 b (.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 b (.f64 b 3)) 1) (.f64 (.f64 b (.f64 b a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (.f64 b b) (+.f64 3 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 b (.f64 b 3)) 3) (pow.f64 (.f64 b (.f64 b a)) 3)) (+.f64 (.f64 (.f64 b (.f64 b 3)) (.f64 b (.f64 b 3))) (-.f64 (.f64 (.f64 b (.f64 b a)) (.f64 b (.f64 b a))) (.f64 (.f64 b (.f64 b 3)) (.f64 b (.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 b (.f64 b 3)) (.f64 b (.f64 b 3))) (.f64 (.f64 b (.f64 b a)) (.f64 b (.f64 b a)))) (-.f64 (.f64 b (.f64 b 3)) (.f64 b (.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 27 (pow.f64 a 3)) (.f64 b b)) (+.f64 9 (.f64 a (-.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 9 (.f64 a a)) (.f64 b b)) (-.f64 3 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 b b) (+.f64 27 (pow.f64 a 3))) (+.f64 9 (.f64 a (-.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 b b) (-.f64 9 (.f64 a a))) (-.f64 3 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 b b) (+.f64 3 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (.f64 b b) (+.f64 3 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 b (sqrt.f64 (+.f64 3 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (+.f64 3 a) 3) (pow.f64 b 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 (+.f64 3 a) 2) (pow.f64 b 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 b) b) (+.f64 3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 b b) (+.f64 3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (+.f64 3 a) 3) (pow.f64 b 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (.f64 b b) (+.f64 3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 b b) 3 (.f64 b (.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (.f64 b b) (.f64 b (.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (.f64 b b) (+.f64 3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (.f64 b b) (+.f64 3 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (.f64 b b) (+.f64 3 a))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 b b) (pow.f64 (hypot.f64 b a) 2)) (.f64 (.f64 a a) (pow.f64 (hypot.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 a a) (pow.f64 (hypot.f64 b a) 2)) (.f64 (.f64 b b) (pow.f64 (hypot.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 (hypot.f64 b a) 2) (.f64 b b)) (.f64 (pow.f64 (hypot.f64 b a) 2) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 (hypot.f64 b a) 2) (.f64 a a)) (.f64 (pow.f64 (hypot.f64 b a) 2) (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (hypot.f64 b a) 2) (pow.f64 (hypot.f64 b a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) (.f64 (cbrt.f64 (pow.f64 (hypot.f64 b a) 2)) (pow.f64 (hypot.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4)) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 b a) (.f64 (hypot.f64 b a) (pow.f64 (hypot.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (hypot.f64 b a) 2) (hypot.f64 b a)) (hypot.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (hypot.f64 b a) 2) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))) (cbrt.f64 (pow.f64 (hypot.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4)) (-.f64 (pow.f64 a 4) (pow.f64 b 4))) (.f64 (-.f64 (.f64 a a) (.f64 b b)) (-.f64 (.f64 a a) (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 a 6) (pow.f64 b 6)) (+.f64 (pow.f64 a 6) (pow.f64 b 6))) (.f64 (+.f64 (pow.f64 a 4) (-.f64 (pow.f64 b 4) (pow.f64 (.f64 a b) 2))) (+.f64 (pow.f64 a 4) (-.f64 (pow.f64 b 4) (pow.f64 (.f64 a b) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4)) (+.f64 (pow.f64 a 6) (pow.f64 b 6))) (.f64 (-.f64 (.f64 a a) (.f64 b b)) (+.f64 (pow.f64 a 4) (-.f64 (pow.f64 b 4) (pow.f64 (.f64 a b) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 a 6) (pow.f64 b 6)) (-.f64 (pow.f64 a 4) (pow.f64 b 4))) (.f64 (+.f64 (pow.f64 a 4) (-.f64 (pow.f64 b 4) (pow.f64 (.f64 a b) 2))) (-.f64 (.f64 a a) (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 a 6) (pow.f64 b 6)) (pow.f64 (hypot.f64 b a) 2)) (+.f64 (pow.f64 a 4) (-.f64 (pow.f64 b 4) (pow.f64 (.f64 a b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4)) (pow.f64 (hypot.f64 b a) 2)) (-.f64 (.f64 a a) (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (hypot.f64 b a) 2) (+.f64 (pow.f64 a 6) (pow.f64 b 6))) (+.f64 (pow.f64 a 4) (-.f64 (pow.f64 b 4) (pow.f64 (.f64 a b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (hypot.f64 b a) 2) (-.f64 (pow.f64 a 4) (pow.f64 b 4))) (-.f64 (.f64 a a) (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a a) (.f64 (neg.f64 a) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a a) (.f64 (.f64 a a) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 a (.f64 a (-.f64 1 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (pow.f64 a 3)) (.f64 a a)) (+.f64 1 (fma.f64 a a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (.f64 a a)) (.f64 a a)) (+.f64 a 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 a a) (-.f64 1 (pow.f64 a 3))) (+.f64 1 (fma.f64 a a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 a a) (-.f64 1 (.f64 a a))) (+.f64 a 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a (.f64 a (-.f64 1 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 a (.f64 a (-.f64 1 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a (sqrt.f64 (-.f64 1 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (-.f64 1 a) 3) (pow.f64 a 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 a 4) (pow.f64 (-.f64 1 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 a) a) (-.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 a (.f64 a (-.f64 1 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (-.f64 1 a) 3) (pow.f64 a 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 a (.f64 a (-.f64 1 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 a (.f64 a (-.f64 1 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 a (.f64 a (-.f64 1 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 a (*.f64 a (-.f64 1 a)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4) (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (.f64 -4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a))))))) (/.f64 (.f64 16 (pow.f64 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) 2)) (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (.f64 -4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))) (pow.f64 (cbrt.f64 (fma.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))) 2) (cbrt.f64 (fma.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 (pow.f64 (hypot.f64 b a) 2) (.f64 2 (hypot.f64 (.f64 a (sqrt.f64 (-.f64 1 a))) (.f64 b (sqrt.f64 (+.f64 3 a)))))) (hypot.f64 (pow.f64 (hypot.f64 b a) 2) (.f64 2 (hypot.f64 (.f64 a (sqrt.f64 (-.f64 1 a))) (.f64 b (sqrt.f64 (+.f64 3 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 6) (.f64 64 (pow.f64 (fma.f64 b 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(hypot.f64 b a) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (*.f64 a (-.f64 1 a)))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))))))

simplify82.0ms (1%)

Algorithm

1×	egg-herbie

Rules

697×	`associate-+l+_binary64`
686×	`associate-r_binary64`
489×	`unswap-sqr_binary64`
477×	`associate-+r+_binary64`
439×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	62	1400
1	180	1360
2	502	1290
3	1952	1277
4	5522	1277
5	8000	1277

Stop Event

1×	node limit

Counts

194 → 155

Calls

Call 1

Inputs
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 3 (pow.f64 b 2))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(*.f64 a (pow.f64 b 2))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(*.f64 a (pow.f64 b 2))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(pow.f64 b 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))
(pow.f64 a 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 a 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(pow.f64 a 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 a 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(pow.f64 a 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 a 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(pow.f64 b 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))
(pow.f64 b 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))
(pow.f64 a 2)
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(*.f64 -1 (pow.f64 a 3))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(*.f64 -1 (pow.f64 a 3))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4))
(+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 b 4)))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 b 4))))
(+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (.f64 a (pow.f64 b 2))) (pow.f64 b 4)))))
(pow.f64 a 4)
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 (+.f64 (*.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (pow.f64 a 4)))
(+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 a 4))))
(pow.f64 a 4)
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 (+.f64 (*.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (pow.f64 a 4)))
(+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 a 4))))
(+.f64 (pow.f64 a 4) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (pow.f64 a 4) (.f64 4 (*.f64 (pow.f64 a 2) (-.f64 1 a)))))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (.f64 4 (*.f64 (pow.f64 a 2) (-.f64 1 a))))))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (.f64 4 (*.f64 (pow.f64 a 2) (-.f64 1 a))))))
(pow.f64 b 4)
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (*.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (pow.f64 b 4))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (.f64 4 (*.f64 (pow.f64 a 2) (-.f64 1 a))))))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (.f64 4 (*.f64 (pow.f64 a 2) (-.f64 1 a))))))
(pow.f64 b 4)
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (*.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (pow.f64 b 4))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (.f64 4 (*.f64 (pow.f64 a 2) (-.f64 1 a))))))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (.f64 4 (*.f64 (pow.f64 a 2) (-.f64 1 a))))))

Outputs
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 3 (pow.f64 b 2))
(.f64 (.f64 b b) 3)
(.f64 b (.f64 b 3))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 a (pow.f64 b 2))
(.f64 (.f64 b b) a)
(.f64 b (.f64 b a))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 a (pow.f64 b 2))
(.f64 (.f64 b b) a)
(.f64 b (.f64 b a))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(pow.f64 b 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))
(fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 b 4))
(fma.f64 2 (.f64 (.f64 a b) (*.f64 a b)) (pow.f64 b 4))
(.f64 b (.f64 b (fma.f64 b b (.f64 2 (.f64 a a)))))
(.f64 b (.f64 b (fma.f64 a (.f64 2 a) (.f64 b b))))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))
(+.f64 (fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 b 4)) (pow.f64 a 4))
(+.f64 (pow.f64 a 4) (fma.f64 2 (.f64 (.f64 a b) (*.f64 a b)) (pow.f64 b 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (.f64 2 (*.f64 a a))) (pow.f64 a 4))
(fma.f64 (.f64 b b) (fma.f64 a (.f64 2 a) (*.f64 b b)) (pow.f64 a 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))
(+.f64 (fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 b 4)) (pow.f64 a 4))
(+.f64 (pow.f64 a 4) (fma.f64 2 (.f64 (.f64 a b) (*.f64 a b)) (pow.f64 b 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (.f64 2 (*.f64 a a))) (pow.f64 a 4))
(fma.f64 (.f64 b b) (fma.f64 a (.f64 2 a) (*.f64 b b)) (pow.f64 a 4))
(pow.f64 a 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 a 4))
(fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 a 4))
(fma.f64 2 (.f64 (.f64 a b) (*.f64 a b)) (pow.f64 a 4))
(fma.f64 2 (.f64 b (.f64 b (*.f64 a a))) (pow.f64 a 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(+.f64 (fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 b 4)) (pow.f64 a 4))
(+.f64 (pow.f64 a 4) (fma.f64 2 (.f64 (.f64 a b) (*.f64 a b)) (pow.f64 b 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (.f64 2 (*.f64 a a))) (pow.f64 a 4))
(fma.f64 (.f64 b b) (fma.f64 a (.f64 2 a) (*.f64 b b)) (pow.f64 a 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(+.f64 (fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 b 4)) (pow.f64 a 4))
(+.f64 (pow.f64 a 4) (fma.f64 2 (.f64 (.f64 a b) (*.f64 a b)) (pow.f64 b 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (.f64 2 (*.f64 a a))) (pow.f64 a 4))
(fma.f64 (.f64 b b) (fma.f64 a (.f64 2 a) (*.f64 b b)) (pow.f64 a 4))
(pow.f64 a 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 a 4))
(fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 a 4))
(fma.f64 2 (.f64 (.f64 a b) (*.f64 a b)) (pow.f64 a 4))
(fma.f64 2 (.f64 b (.f64 b (*.f64 a a))) (pow.f64 a 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(+.f64 (fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 b 4)) (pow.f64 a 4))
(+.f64 (pow.f64 a 4) (fma.f64 2 (.f64 (.f64 a b) (*.f64 a b)) (pow.f64 b 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (.f64 2 (*.f64 a a))) (pow.f64 a 4))
(fma.f64 (.f64 b b) (fma.f64 a (.f64 2 a) (*.f64 b b)) (pow.f64 a 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(+.f64 (fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 b 4)) (pow.f64 a 4))
(+.f64 (pow.f64 a 4) (fma.f64 2 (.f64 (.f64 a b) (*.f64 a b)) (pow.f64 b 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (.f64 2 (*.f64 a a))) (pow.f64 a 4))
(fma.f64 (.f64 b b) (fma.f64 a (.f64 2 a) (*.f64 b b)) (pow.f64 a 4))
(pow.f64 a 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 a 4))
(fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 a 4))
(fma.f64 2 (.f64 (.f64 a b) (*.f64 a b)) (pow.f64 a 4))
(fma.f64 2 (.f64 b (.f64 b (*.f64 a a))) (pow.f64 a 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(+.f64 (fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 b 4)) (pow.f64 a 4))
(+.f64 (pow.f64 a 4) (fma.f64 2 (.f64 (.f64 a b) (*.f64 a b)) (pow.f64 b 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (.f64 2 (*.f64 a a))) (pow.f64 a 4))
(fma.f64 (.f64 b b) (fma.f64 a (.f64 2 a) (*.f64 b b)) (pow.f64 a 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(+.f64 (fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 b 4)) (pow.f64 a 4))
(+.f64 (pow.f64 a 4) (fma.f64 2 (.f64 (.f64 a b) (*.f64 a b)) (pow.f64 b 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (.f64 2 (*.f64 a a))) (pow.f64 a 4))
(fma.f64 (.f64 b b) (fma.f64 a (.f64 2 a) (*.f64 b b)) (pow.f64 a 4))
(pow.f64 b 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))
(fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 b 4))
(fma.f64 2 (.f64 (.f64 a b) (*.f64 a b)) (pow.f64 b 4))
(.f64 b (.f64 b (fma.f64 b b (.f64 2 (.f64 a a)))))
(.f64 b (.f64 b (fma.f64 a (.f64 2 a) (.f64 b b))))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))
(+.f64 (fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 b 4)) (pow.f64 a 4))
(+.f64 (pow.f64 a 4) (fma.f64 2 (.f64 (.f64 a b) (*.f64 a b)) (pow.f64 b 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (.f64 2 (*.f64 a a))) (pow.f64 a 4))
(fma.f64 (.f64 b b) (fma.f64 a (.f64 2 a) (*.f64 b b)) (pow.f64 a 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))
(+.f64 (fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 b 4)) (pow.f64 a 4))
(+.f64 (pow.f64 a 4) (fma.f64 2 (.f64 (.f64 a b) (*.f64 a b)) (pow.f64 b 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (.f64 2 (*.f64 a a))) (pow.f64 a 4))
(fma.f64 (.f64 b b) (fma.f64 a (.f64 2 a) (*.f64 b b)) (pow.f64 a 4))
(pow.f64 b 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))
(fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 b 4))
(fma.f64 2 (.f64 (.f64 a b) (*.f64 a b)) (pow.f64 b 4))
(.f64 b (.f64 b (fma.f64 b b (.f64 2 (.f64 a a)))))
(.f64 b (.f64 b (fma.f64 a (.f64 2 a) (.f64 b b))))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))
(+.f64 (fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 b 4)) (pow.f64 a 4))
(+.f64 (pow.f64 a 4) (fma.f64 2 (.f64 (.f64 a b) (*.f64 a b)) (pow.f64 b 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (.f64 2 (*.f64 a a))) (pow.f64 a 4))
(fma.f64 (.f64 b b) (fma.f64 a (.f64 2 a) (*.f64 b b)) (pow.f64 a 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))
(+.f64 (fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 b 4)) (pow.f64 a 4))
(+.f64 (pow.f64 a 4) (fma.f64 2 (.f64 (.f64 a b) (*.f64 a b)) (pow.f64 b 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (.f64 2 (*.f64 a a))) (pow.f64 a 4))
(fma.f64 (.f64 b b) (fma.f64 a (.f64 2 a) (*.f64 b b)) (pow.f64 a 4))
(pow.f64 a 2)
(*.f64 a a)
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3)))
(-.f64 (*.f64 a a) (pow.f64 a 3))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3)))
(-.f64 (*.f64 a a) (pow.f64 a 3))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3)))
(-.f64 (*.f64 a a) (pow.f64 a 3))
(*.f64 -1 (pow.f64 a 3))
(neg.f64 (pow.f64 a 3))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3)))
(-.f64 (*.f64 a a) (pow.f64 a 3))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3)))
(-.f64 (*.f64 a a) (pow.f64 a 3))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3)))
(-.f64 (*.f64 a a) (pow.f64 a 3))
(*.f64 -1 (pow.f64 a 3))
(neg.f64 (pow.f64 a 3))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3)))
(-.f64 (*.f64 a a) (pow.f64 a 3))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3)))
(-.f64 (*.f64 a a) (pow.f64 a 3))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3)))
(-.f64 (*.f64 a a) (pow.f64 a 3))
(+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4))
(fma.f64 12 (*.f64 b b) (pow.f64 b 4))
(fma.f64 (*.f64 b b) 12 (pow.f64 b 4))
(fma.f64 b (*.f64 b 12) (pow.f64 b 4))
(+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 b 4)))
(fma.f64 12 (.f64 b b) (fma.f64 4 (.f64 (*.f64 b b) a) (pow.f64 b 4)))
(+.f64 (pow.f64 b 4) (.f64 (.f64 b b) (+.f64 12 (*.f64 a 4))))
(fma.f64 (*.f64 b b) (fma.f64 a 4 12) (pow.f64 b 4))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 b 4))))
(fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (fma.f64 12 (.f64 b b) (fma.f64 4 (.f64 (*.f64 b b) a) (pow.f64 b 4))))
(fma.f64 (.f64 a a) (fma.f64 2 (.f64 b b) 4) (+.f64 (pow.f64 b 4) (.f64 (.f64 b b) (+.f64 12 (*.f64 a 4)))))
(fma.f64 a (.f64 a (fma.f64 2 (.f64 b b) 4)) (fma.f64 (*.f64 b b) (fma.f64 a 4 12) (pow.f64 b 4)))
(fma.f64 (.f64 a a) (fma.f64 2 (.f64 b b) 4) (fma.f64 (*.f64 b b) (fma.f64 a 4 12) (pow.f64 b 4)))
(+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (.f64 a (pow.f64 b 2))) (pow.f64 b 4)))))
(fma.f64 -4 (pow.f64 a 3) (fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (fma.f64 12 (.f64 b b) (fma.f64 4 (.f64 (*.f64 b b) a) (pow.f64 b 4)))))
(fma.f64 (pow.f64 a 3) -4 (fma.f64 (.f64 a a) (fma.f64 2 (.f64 b b) 4) (+.f64 (pow.f64 b 4) (.f64 (.f64 b b) (+.f64 12 (*.f64 a 4))))))
(fma.f64 a (.f64 a (fma.f64 2 (.f64 b b) 4)) (fma.f64 (pow.f64 a 3) -4 (fma.f64 (*.f64 b b) (fma.f64 a 4 12) (pow.f64 b 4))))
(fma.f64 b (.f64 b (fma.f64 a (.f64 2 a) (fma.f64 a 4 12))) (fma.f64 4 (-.f64 (*.f64 a a) (pow.f64 a 3)) (pow.f64 b 4)))
(pow.f64 a 4)
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4))
(fma.f64 (pow.f64 a 3) -4 (pow.f64 a 4))
(*.f64 (pow.f64 a 3) (+.f64 a -4))
(+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 (+.f64 (*.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (pow.f64 a 4)))
(fma.f64 -4 (pow.f64 a 3) (fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (pow.f64 a 4)))
(fma.f64 (pow.f64 a 3) -4 (fma.f64 (.f64 a a) (fma.f64 2 (.f64 b b) 4) (pow.f64 a 4)))
(.f64 (.f64 a a) (+.f64 (fma.f64 a a (fma.f64 2 (.f64 b b) 4)) (.f64 a -4)))
(.f64 (.f64 a a) (+.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a (+.f64 a -4))))
(+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 a 4))))
(fma.f64 -4 (pow.f64 a 3) (fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (fma.f64 4 (.f64 (.f64 b b) a) (pow.f64 a 4))))
(fma.f64 (pow.f64 a 3) -4 (fma.f64 (.f64 a a) (fma.f64 2 (.f64 b b) 4) (fma.f64 (.f64 (.f64 b b) a) 4 (pow.f64 a 4))))
(fma.f64 a (.f64 a (fma.f64 2 (.f64 b b) 4)) (fma.f64 (pow.f64 a 3) -4 (fma.f64 (.f64 b b) (.f64 a 4) (pow.f64 a 4))))
(+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (*.f64 2 a)))))
(pow.f64 a 4)
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4))
(fma.f64 (pow.f64 a 3) -4 (pow.f64 a 4))
(*.f64 (pow.f64 a 3) (+.f64 a -4))
(+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 (+.f64 (*.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (pow.f64 a 4)))
(fma.f64 -4 (pow.f64 a 3) (fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (pow.f64 a 4)))
(fma.f64 (pow.f64 a 3) -4 (fma.f64 (.f64 a a) (fma.f64 2 (.f64 b b) 4) (pow.f64 a 4)))
(.f64 (.f64 a a) (+.f64 (fma.f64 a a (fma.f64 2 (.f64 b b) 4)) (.f64 a -4)))
(.f64 (.f64 a a) (+.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a (+.f64 a -4))))
(+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 a 4))))
(fma.f64 -4 (pow.f64 a 3) (fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (fma.f64 4 (.f64 (.f64 b b) a) (pow.f64 a 4))))
(fma.f64 (pow.f64 a 3) -4 (fma.f64 (.f64 a a) (fma.f64 2 (.f64 b b) 4) (fma.f64 (.f64 (.f64 b b) a) 4 (pow.f64 a 4))))
(fma.f64 a (.f64 a (fma.f64 2 (.f64 b b) 4)) (fma.f64 (pow.f64 a 3) -4 (fma.f64 (.f64 b b) (.f64 a 4) (pow.f64 a 4))))
(+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (*.f64 2 a)))))
(+.f64 (pow.f64 a 4) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))))
(+.f64 (pow.f64 a 4) (.f64 4 (.f64 (*.f64 a a) (-.f64 1 a))))
(fma.f64 4 (.f64 (.f64 a a) (-.f64 1 a)) (pow.f64 a 4))
(fma.f64 4 (-.f64 (*.f64 a a) (pow.f64 a 3)) (pow.f64 a 4))
(.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4))))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (pow.f64 a 4) (.f64 4 (*.f64 (pow.f64 a 2) (-.f64 1 a)))))
(fma.f64 (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 a 4))) (.f64 b b) (+.f64 (pow.f64 a 4) (.f64 4 (.f64 (.f64 a a) (-.f64 1 a)))))
(fma.f64 (.f64 b b) (fma.f64 (+.f64 3 a) 4 (.f64 2 (.f64 a a))) (fma.f64 4 (.f64 (*.f64 a a) (-.f64 1 a)) (pow.f64 a 4)))
(fma.f64 b (.f64 b (fma.f64 2 (.f64 a a) (fma.f64 a 4 12))) (fma.f64 4 (-.f64 (*.f64 a a) (pow.f64 a 3)) (pow.f64 a 4)))
(fma.f64 b (.f64 b (fma.f64 a (.f64 2 a) (fma.f64 a 4 12))) (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (.f64 4 (*.f64 (pow.f64 a 2) (-.f64 1 a))))))
(+.f64 (fma.f64 (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 a 4))) (.f64 b b) (pow.f64 b 4)) (+.f64 (pow.f64 a 4) (.f64 4 (.f64 (.f64 a a) (-.f64 1 a)))))
(+.f64 (pow.f64 b 4) (fma.f64 (.f64 b b) (fma.f64 (+.f64 3 a) 4 (.f64 2 (.f64 a a))) (fma.f64 4 (.f64 (*.f64 a a) (-.f64 1 a)) (pow.f64 a 4))))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) (fma.f64 a 4 12))) (fma.f64 4 (-.f64 (*.f64 a a) (pow.f64 a 3)) (pow.f64 a 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 a (.f64 2 a) (fma.f64 a 4 12))) (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (.f64 4 (*.f64 (pow.f64 a 2) (-.f64 1 a))))))
(+.f64 (fma.f64 (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 a 4))) (.f64 b b) (pow.f64 b 4)) (+.f64 (pow.f64 a 4) (.f64 4 (.f64 (.f64 a a) (-.f64 1 a)))))
(+.f64 (pow.f64 b 4) (fma.f64 (.f64 b b) (fma.f64 (+.f64 3 a) 4 (.f64 2 (.f64 a a))) (fma.f64 4 (.f64 (*.f64 a a) (-.f64 1 a)) (pow.f64 a 4))))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) (fma.f64 a 4 12))) (fma.f64 4 (-.f64 (*.f64 a a) (pow.f64 a 3)) (pow.f64 a 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 a (.f64 2 a) (fma.f64 a 4 12))) (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))))
(pow.f64 b 4)
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (*.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (pow.f64 b 4))
(fma.f64 (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 a 4))) (*.f64 b b) (pow.f64 b 4))
(fma.f64 (.f64 b b) (fma.f64 (+.f64 3 a) 4 (.f64 2 (*.f64 a a))) (pow.f64 b 4))
(fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) (fma.f64 a 4 12)) (pow.f64 b 4))
(fma.f64 (.f64 b b) (fma.f64 a (.f64 2 a) (fma.f64 a 4 12)) (pow.f64 b 4))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (.f64 4 (*.f64 (pow.f64 a 2) (-.f64 1 a))))))
(+.f64 (fma.f64 (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 a 4))) (.f64 b b) (pow.f64 b 4)) (+.f64 (pow.f64 a 4) (.f64 4 (.f64 (.f64 a a) (-.f64 1 a)))))
(+.f64 (pow.f64 b 4) (fma.f64 (.f64 b b) (fma.f64 (+.f64 3 a) 4 (.f64 2 (.f64 a a))) (fma.f64 4 (.f64 (*.f64 a a) (-.f64 1 a)) (pow.f64 a 4))))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) (fma.f64 a 4 12))) (fma.f64 4 (-.f64 (*.f64 a a) (pow.f64 a 3)) (pow.f64 a 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 a (.f64 2 a) (fma.f64 a 4 12))) (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (.f64 4 (*.f64 (pow.f64 a 2) (-.f64 1 a))))))
(+.f64 (fma.f64 (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 a 4))) (.f64 b b) (pow.f64 b 4)) (+.f64 (pow.f64 a 4) (.f64 4 (.f64 (.f64 a a) (-.f64 1 a)))))
(+.f64 (pow.f64 b 4) (fma.f64 (.f64 b b) (fma.f64 (+.f64 3 a) 4 (.f64 2 (.f64 a a))) (fma.f64 4 (.f64 (*.f64 a a) (-.f64 1 a)) (pow.f64 a 4))))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) (fma.f64 a 4 12))) (fma.f64 4 (-.f64 (*.f64 a a) (pow.f64 a 3)) (pow.f64 a 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 a (.f64 2 a) (fma.f64 a 4 12))) (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))))
(pow.f64 b 4)
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (*.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (pow.f64 b 4))
(fma.f64 (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 a 4))) (*.f64 b b) (pow.f64 b 4))
(fma.f64 (.f64 b b) (fma.f64 (+.f64 3 a) 4 (.f64 2 (*.f64 a a))) (pow.f64 b 4))
(fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) (fma.f64 a 4 12)) (pow.f64 b 4))
(fma.f64 (.f64 b b) (fma.f64 a (.f64 2 a) (fma.f64 a 4 12)) (pow.f64 b 4))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (.f64 4 (*.f64 (pow.f64 a 2) (-.f64 1 a))))))
(+.f64 (fma.f64 (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 a 4))) (.f64 b b) (pow.f64 b 4)) (+.f64 (pow.f64 a 4) (.f64 4 (.f64 (.f64 a a) (-.f64 1 a)))))
(+.f64 (pow.f64 b 4) (fma.f64 (.f64 b b) (fma.f64 (+.f64 3 a) 4 (.f64 2 (.f64 a a))) (fma.f64 4 (.f64 (*.f64 a a) (-.f64 1 a)) (pow.f64 a 4))))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) (fma.f64 a 4 12))) (fma.f64 4 (-.f64 (*.f64 a a) (pow.f64 a 3)) (pow.f64 a 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 a (.f64 2 a) (fma.f64 a 4 12))) (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (.f64 4 (*.f64 (pow.f64 a 2) (-.f64 1 a))))))
(+.f64 (fma.f64 (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 a 4))) (.f64 b b) (pow.f64 b 4)) (+.f64 (pow.f64 a 4) (.f64 4 (.f64 (.f64 a a) (-.f64 1 a)))))
(+.f64 (pow.f64 b 4) (fma.f64 (.f64 b b) (fma.f64 (+.f64 3 a) 4 (.f64 2 (.f64 a a))) (fma.f64 4 (.f64 (*.f64 a a) (-.f64 1 a)) (pow.f64 a 4))))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) (fma.f64 a 4 12))) (fma.f64 4 (-.f64 (*.f64 a a) (pow.f64 a 3)) (pow.f64 a 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 a (.f64 2 a) (fma.f64 a 4 12))) (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))))

eval333.0ms (4.1%)

Compiler: Compiled 13818 to 7522 computations (45.6% saved)

prune102.0ms (1.3%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	415	13	428
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	417	13	430

Error

Counts

430 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	13.2b	(-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (*.f64 2 a))))) 1)
▶	0.2b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 b (*.f64 b 3))))) 1)
▶	0.0b	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (+.f64 (.f64 (+.f64 a 3) (.f64 b b)) (.f64 a (-.f64 a (.f64 a a)))) -1))
	11.8b	(fma.f64 b (*.f64 b (fma.f64 b b 12)) -1)
▶	13.4b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
▶	50.7b	(pow.f64 b 4)
	2.2b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a))))) 1)
	13.3b	(-.f64 (+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (pow.f64 a 4)) 1)
	12.3b	(-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
	51.9b	(.f64 (.f64 a a) (+.f64 (fma.f64 b (.f64 b 2) 4) (.f64 a (+.f64 -4 a))))
	52.2b	(*.f64 (pow.f64 a 3) (+.f64 -4 a))
▶	11.1b	(-.f64 (+.f64 (pow.f64 b 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
	53.1b	(pow.f64 a 4)

Compiler

Compiled 478 to 330 computations (31% saved)

localize34.0ms (0.4%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(-.f64 a (*.f64 a a))
	0.0b	(hypot.f64 a b)
	0.0b	(pow.f64 (hypot.f64 a b) 4)
	0.0b	(fma.f64 4 (+.f64 (.f64 (+.f64 a 3) (.f64 b b)) (.f64 a (-.f64 a (.f64 a a)))) -1)
	0.0b	(-.f64 a (*.f64 a a))
✓	0.0b	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (+.f64 (.f64 (+.f64 a 3) (.f64 b b)) (.f64 a (-.f64 a (.f64 a a)))) -1))
✓	0.1b	(.f64 a (-.f64 a (.f64 a a)))
✓	0.5b	(.f64 (+.f64 a 3) (.f64 b b))

Compiler

Compiled 100 to 38 computations (62% saved)

series6.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	b	@	0	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (+.f64 (.f64 (+.f64 a 3) (.f64 b b)) (.f64 a (-.f64 a (.f64 a a)))) -1))
0.0ms	b	@	inf	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (+.f64 (.f64 (+.f64 a 3) (.f64 b b)) (.f64 a (-.f64 a (.f64 a a)))) -1))
0.0ms	b	@	-inf	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (+.f64 (.f64 (+.f64 a 3) (.f64 b b)) (.f64 a (-.f64 a (.f64 a a)))) -1))
0.0ms	a	@	0	(.f64 a (-.f64 a (.f64 a a)))
0.0ms	a	@	0	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (+.f64 (.f64 (+.f64 a 3) (.f64 b b)) (.f64 a (-.f64 a (.f64 a a)))) -1))

rewrite85.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

493×	`fma-neg_binary64`
329×	`expm1-udef_binary64`
329×	`log1p-udef_binary64`
270×	`log-pow_binary64`
197×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	53
1	386	53
2	5392	53

Stop Event

1×	node limit

Counts

3 → 81

Calls

Call 1

Inputs
(.f64 (+.f64 a 3) (.f64 b b))
(.f64 a (-.f64 a (.f64 a a)))
(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (+.f64 (.f64 (+.f64 a 3) (.f64 b b)) (.f64 a (-.f64 a (.f64 a a)))) -1))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (*.f64 b b)) (*.f64 3 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (*.f64 b b)) (*.f64 a (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 b b) a) (*.f64 (*.f64 b b) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 b b) 3) (*.f64 (*.f64 b b) a))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a 3) (*.f64 b b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 27 (pow.f64 a 3)) (*.f64 b b)) (fma.f64 a a (-.f64 9 (*.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 a a -9) (*.f64 b b)) (+.f64 a -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 b b) (+.f64 27 (pow.f64 a 3))) (fma.f64 a a (-.f64 9 (*.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 b b) (fma.f64 a a -9)) (+.f64 a -3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 a 3) (*.f64 b b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 a 3) (*.f64 b b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b (sqrt.f64 (+.f64 a 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 a 3) (*.f64 b b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 b 4) (pow.f64 (+.f64 a 3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 b) b) (+.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a 3) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 a 3) (*.f64 b b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 a 3) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 a 3) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a 3) (*.f64 b b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 a 3) (*.f64 b b))))))))

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

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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (fma.f64 a (-.f64 a (*.f64 a a)) (*.f64 (+.f64 a 3) (*.f64 b b))) -1)) 2) (cbrt.f64 (fma.f64 4 (fma.f64 a (-.f64 a (*.f64 a a)) (*.f64 (+.f64 a 3) (*.f64 b b))) -1)) (pow.f64 (hypot.f64 a b) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 a b) 8)) (cbrt.f64 (pow.f64 (hypot.f64 a b) 4)) (fma.f64 4 (fma.f64 a (-.f64 a (*.f64 a a)) (*.f64 (+.f64 a 3) (*.f64 b b))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 4 (fma.f64 a (-.f64 a (*.f64 a a)) (*.f64 (+.f64 a 3) (*.f64 b b))) -1)) (sqrt.f64 (fma.f64 4 (fma.f64 a (-.f64 a (*.f64 a a)) (*.f64 (+.f64 a 3) (*.f64 b b))) -1)) (pow.f64 (hypot.f64 a b) 4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a (-.f64 a (*.f64 a a)) (*.f64 (+.f64 a 3) (*.f64 b b))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 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simplify55.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

853×	`fma-def_binary64`
770×	`associate-+r+_binary64`
559×	`distribute-rgt-in_binary64`
308×	`+-commutative_binary64`
281×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	111	1063
1	346	1037
2	1206	996
3	5726	980

Stop Event

1×	node limit

Counts

141 → 122

Calls

Call 1

Inputs
(*.f64 3 (pow.f64 b 2))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(*.f64 a (pow.f64 b 2))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(*.f64 a (pow.f64 b 2))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(pow.f64 a 2)
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(*.f64 -1 (pow.f64 a 3))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(*.f64 -1 (pow.f64 a 3))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(-.f64 (+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4)) 1)
(-.f64 (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 b 4))) 1)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 b 4)))) 1)
(-.f64 (+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (.f64 a (pow.f64 b 2))) (pow.f64 b 4))))) 1)
(pow.f64 a 4)
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 (+.f64 (*.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (pow.f64 a 4)))
(+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 a 4))))
(pow.f64 a 4)
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 (+.f64 (*.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (pow.f64 a 4)))
(+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 a 4))))
(-.f64 (+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (pow.f64 a 4)) 1)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (-.f64 a (pow.f64 a 2)))) (pow.f64 a 4))) 1)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (-.f64 a (pow.f64 a 2)))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))) 1)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (.f64 (+.f64 (.f64 5/64 (/.f64 1 (pow.f64 a 6))) (.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a 3)) 2) (*.f64 1/16 (/.f64 1 (pow.f64 a 6)))))) (pow.f64 b 8)))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))) 1)
(pow.f64 b 4)
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (*.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (pow.f64 b 4))
(-.f64 (+.f64 (.f64 1/2 (pow.f64 a 4)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 -1/2 (pow.f64 a 4)) (+.f64 (.f64 4 (*.f64 a (-.f64 a (pow.f64 a 2)))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))))) 1)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (.f64 1/2 (pow.f64 a 4)) (+.f64 (.f64 -1/2 (pow.f64 a 4)) (+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a 4)) (*.f64 1/4 (pow.f64 a 4))) (pow.f64 a 2)) (pow.f64 b 2))))))))))) 1)
(pow.f64 b 4)
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (*.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (pow.f64 b 4))
(-.f64 (+.f64 (.f64 1/2 (pow.f64 a 4)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 -1/2 (pow.f64 a 4)) (+.f64 (.f64 4 (*.f64 a (-.f64 a (pow.f64 a 2)))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))))) 1)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (.f64 1/2 (pow.f64 a 4)) (+.f64 (.f64 -1/2 (pow.f64 a 4)) (+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a 4)) (*.f64 1/4 (pow.f64 a 4))) (pow.f64 a 2)) (pow.f64 b 2))))))))))) 1)

Outputs
(*.f64 3 (pow.f64 b 2))
(.f64 3 (.f64 b b))
(.f64 b (.f64 b 3))
(.f64 b (.f64 3 b))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(*.f64 a (pow.f64 b 2))
(.f64 (.f64 b b) a)
(.f64 b (.f64 b a))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(*.f64 a (pow.f64 b 2))
(.f64 (.f64 b b) a)
(.f64 b (.f64 b a))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(pow.f64 a 2)
(*.f64 a a)
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3)))
(-.f64 (*.f64 a a) (pow.f64 a 3))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3)))
(-.f64 (*.f64 a a) (pow.f64 a 3))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3)))
(-.f64 (*.f64 a a) (pow.f64 a 3))
(*.f64 -1 (pow.f64 a 3))
(neg.f64 (pow.f64 a 3))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3)))
(-.f64 (*.f64 a a) (pow.f64 a 3))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3)))
(-.f64 (*.f64 a a) (pow.f64 a 3))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3)))
(-.f64 (*.f64 a a) (pow.f64 a 3))
(*.f64 -1 (pow.f64 a 3))
(neg.f64 (pow.f64 a 3))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3)))
(-.f64 (*.f64 a a) (pow.f64 a 3))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3)))
(-.f64 (*.f64 a a) (pow.f64 a 3))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3)))
(-.f64 (*.f64 a a) (pow.f64 a 3))
(-.f64 (+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4)) 1)
(+.f64 (fma.f64 12 (*.f64 b b) (pow.f64 b 4)) -1)
(+.f64 -1 (fma.f64 (*.f64 b b) 12 (pow.f64 b 4)))
(fma.f64 (*.f64 b b) (fma.f64 b b 12) -1)
(-.f64 (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 b 4))) 1)
(+.f64 (fma.f64 12 (.f64 b b) (fma.f64 4 (.f64 (*.f64 b b) a) (pow.f64 b 4))) -1)
(+.f64 (.f64 (.f64 b b) (+.f64 12 (*.f64 a 4))) (+.f64 (pow.f64 b 4) -1))
(+.f64 -1 (fma.f64 (*.f64 b b) (fma.f64 a 4 12) (pow.f64 b 4)))
(fma.f64 (.f64 b b) (+.f64 12 (fma.f64 a 4 (.f64 b b))) -1)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 b 4)))) 1)
(+.f64 (fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (fma.f64 12 (.f64 b b) (fma.f64 4 (.f64 (*.f64 b b) a) (pow.f64 b 4)))) -1)
(fma.f64 (.f64 a a) (fma.f64 2 (.f64 b b) 4) (+.f64 (.f64 (.f64 b b) (+.f64 12 (*.f64 a 4))) (+.f64 (pow.f64 b 4) -1)))
(+.f64 -1 (fma.f64 (.f64 a a) (fma.f64 b (.f64 b 2) 4) (fma.f64 (*.f64 b b) (fma.f64 a 4 12) (pow.f64 b 4))))
(+.f64 (fma.f64 (.f64 b b) (fma.f64 a 4 12) (pow.f64 b 4)) (fma.f64 (.f64 a a) (fma.f64 b (*.f64 b 2) 4) -1))
(-.f64 (+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (.f64 a (pow.f64 b 2))) (pow.f64 b 4))))) 1)
(+.f64 (fma.f64 -4 (pow.f64 a 3) (fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (fma.f64 12 (.f64 b b) (fma.f64 4 (.f64 (*.f64 b b) a) (pow.f64 b 4))))) -1)
(fma.f64 (pow.f64 a 3) -4 (fma.f64 (.f64 a a) (fma.f64 2 (.f64 b b) 4) (+.f64 (.f64 (.f64 b b) (+.f64 12 (*.f64 a 4))) (+.f64 (pow.f64 b 4) -1))))
(+.f64 -1 (fma.f64 a (.f64 a (fma.f64 b (.f64 b 2) 4)) (fma.f64 (pow.f64 a 3) -4 (fma.f64 (*.f64 b b) (fma.f64 a 4 12) (pow.f64 b 4)))))
(+.f64 (fma.f64 (.f64 b b) (fma.f64 a 4 12) (pow.f64 b 4)) (fma.f64 (.f64 a a) (+.f64 (.f64 a -4) (fma.f64 b (.f64 b 2) 4)) -1))
(pow.f64 a 4)
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4))
(fma.f64 (pow.f64 a 3) -4 (pow.f64 a 4))
(*.f64 (pow.f64 a 3) (+.f64 -4 a))
(+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 (+.f64 (*.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (pow.f64 a 4)))
(fma.f64 -4 (pow.f64 a 3) (fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (pow.f64 a 4)))
(fma.f64 (pow.f64 a 3) -4 (fma.f64 (.f64 a a) (fma.f64 2 (.f64 b b) 4) (pow.f64 a 4)))
(fma.f64 (.f64 a a) (fma.f64 b (.f64 b 2) 4) (*.f64 (pow.f64 a 3) (+.f64 -4 a)))
(.f64 (.f64 a a) (+.f64 (fma.f64 b (.f64 b 2) 4) (.f64 a (+.f64 -4 a))))
(+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 a 4))))
(fma.f64 -4 (pow.f64 a 3) (fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (fma.f64 4 (.f64 (.f64 b b) a) (pow.f64 a 4))))
(fma.f64 (pow.f64 a 3) -4 (fma.f64 (.f64 a a) (fma.f64 2 (.f64 b b) 4) (fma.f64 (.f64 a 4) (.f64 b b) (pow.f64 a 4))))
(fma.f64 a (.f64 a (fma.f64 b (.f64 b 2) 4)) (fma.f64 (pow.f64 a 3) -4 (fma.f64 (.f64 b b) (.f64 a 4) (pow.f64 a 4))))
(fma.f64 (pow.f64 a 3) -4 (.f64 a (+.f64 (.f64 b (.f64 b 4)) (.f64 a (fma.f64 a a (fma.f64 b (*.f64 b 2) 4))))))
(pow.f64 a 4)
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4))
(fma.f64 (pow.f64 a 3) -4 (pow.f64 a 4))
(*.f64 (pow.f64 a 3) (+.f64 -4 a))
(+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 (+.f64 (*.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (pow.f64 a 4)))
(fma.f64 -4 (pow.f64 a 3) (fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (pow.f64 a 4)))
(fma.f64 (pow.f64 a 3) -4 (fma.f64 (.f64 a a) (fma.f64 2 (.f64 b b) 4) (pow.f64 a 4)))
(fma.f64 (.f64 a a) (fma.f64 b (.f64 b 2) 4) (*.f64 (pow.f64 a 3) (+.f64 -4 a)))
(.f64 (.f64 a a) (+.f64 (fma.f64 b (.f64 b 2) 4) (.f64 a (+.f64 -4 a))))
(+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 a 4))))
(fma.f64 -4 (pow.f64 a 3) (fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (fma.f64 4 (.f64 (.f64 b b) a) (pow.f64 a 4))))
(fma.f64 (pow.f64 a 3) -4 (fma.f64 (.f64 a a) (fma.f64 2 (.f64 b b) 4) (fma.f64 (.f64 a 4) (.f64 b b) (pow.f64 a 4))))
(fma.f64 a (.f64 a (fma.f64 b (.f64 b 2) 4)) (fma.f64 (pow.f64 a 3) -4 (fma.f64 (.f64 b b) (.f64 a 4) (pow.f64 a 4))))
(fma.f64 (pow.f64 a 3) -4 (.f64 a (+.f64 (.f64 b (.f64 b 4)) (.f64 a (fma.f64 a a (fma.f64 b (*.f64 b 2) 4))))))
(-.f64 (+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (pow.f64 a 4)) 1)
(+.f64 (fma.f64 4 (.f64 a (-.f64 a (.f64 a a))) (pow.f64 a 4)) -1)
(fma.f64 4 (-.f64 (*.f64 a a) (pow.f64 a 3)) (+.f64 (pow.f64 a 4) -1))
(fma.f64 (-.f64 a (.f64 a a)) (.f64 a 4) (+.f64 -1 (pow.f64 a 4)))
(+.f64 -1 (fma.f64 a (.f64 4 (-.f64 a (.f64 a a))) (pow.f64 a 4)))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (-.f64 a (pow.f64 a 2)))) (pow.f64 a 4))) 1)
(+.f64 (fma.f64 (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 a 4))) (.f64 b b) (fma.f64 4 (.f64 a (-.f64 a (*.f64 a a))) (pow.f64 a 4))) -1)
(fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 a 4))) (fma.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3)) (+.f64 (pow.f64 a 4) -1)))
(fma.f64 b (.f64 b (fma.f64 2 (.f64 a a) (fma.f64 a 4 12))) (fma.f64 (-.f64 a (.f64 a a)) (.f64 a 4) (+.f64 -1 (pow.f64 a 4))))
(+.f64 (fma.f64 a (.f64 4 (-.f64 a (.f64 a a))) (pow.f64 a 4)) (fma.f64 b (.f64 b (fma.f64 2 (.f64 a a) (fma.f64 a 4 12))) -1))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (-.f64 a (pow.f64 a 2)))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))) 1)
(+.f64 (fma.f64 (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 a 4))) (.f64 b b) (+.f64 (fma.f64 4 (.f64 a (-.f64 a (*.f64 a a))) (pow.f64 a 4)) (pow.f64 b 4))) -1)
(fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 a 4))) (+.f64 (+.f64 (pow.f64 a 4) (fma.f64 (.f64 a 4) (-.f64 a (*.f64 a a)) (pow.f64 b 4))) -1))
(+.f64 -1 (+.f64 (pow.f64 b 4) (fma.f64 a (.f64 4 (-.f64 a (.f64 a a))) (fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) (fma.f64 a 4 12)) (pow.f64 a 4)))))
(+.f64 (fma.f64 a (.f64 4 (-.f64 a (.f64 a a))) (pow.f64 a 4)) (fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) (fma.f64 a 4 12))) -1))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (.f64 (+.f64 (.f64 5/64 (/.f64 1 (pow.f64 a 6))) (.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a 3)) 2) (*.f64 1/16 (/.f64 1 (pow.f64 a 6)))))) (pow.f64 b 8)))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))) 1)
(+.f64 (fma.f64 (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 a 4))) (.f64 b b) (fma.f64 4 (.f64 a (-.f64 a (.f64 a a))) (fma.f64 2 (.f64 (.f64 a a) (.f64 (+.f64 (/.f64 5/64 (pow.f64 a 6)) (neg.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a 3)) 2) (/.f64 1/16 (pow.f64 a 6))))) (pow.f64 b 8))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))) -1)
(+.f64 -1 (fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 a 4))) (+.f64 (fma.f64 2 (.f64 (-.f64 (/.f64 5/64 (pow.f64 a 6)) (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a 3)) 2) (/.f64 1/16 (pow.f64 a 6)))) (.f64 (pow.f64 b 8) (.f64 a a))) (pow.f64 b 4)) (fma.f64 4 (-.f64 (*.f64 a a) (pow.f64 a 3)) (pow.f64 a 4)))))
(+.f64 (+.f64 (fma.f64 a (.f64 4 (-.f64 a (.f64 a a))) (pow.f64 a 4)) (fma.f64 (.f64 a a) (.f64 (fma.f64 -1 (pow.f64 (/.f64 -1/8 (pow.f64 a 3)) 2) (.f64 (/.f64 1 (pow.f64 a 6)) 1/64)) (.f64 2 (pow.f64 b 8))) (pow.f64 b 4))) (fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) (fma.f64 a 4 12)) -1))
(+.f64 (+.f64 (pow.f64 a 4) (fma.f64 b (.f64 b (fma.f64 2 (.f64 a a) (fma.f64 a 4 12))) (fma.f64 a (.f64 4 (-.f64 a (.f64 a a))) (pow.f64 b 4)))) (fma.f64 a (.f64 a (.f64 (-.f64 (.f64 (/.f64 1 (pow.f64 a 6)) 1/64) (pow.f64 (/.f64 -1/8 (pow.f64 a 3)) 2)) (.f64 2 (pow.f64 b 8)))) -1))
(pow.f64 b 4)
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (*.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (pow.f64 b 4))
(fma.f64 (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 a 4))) (*.f64 b b) (pow.f64 b 4))
(fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) (+.f64 12 (*.f64 a 4))) (pow.f64 b 4))
(fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) (fma.f64 a 4 12)) (pow.f64 b 4))
(-.f64 (+.f64 (.f64 1/2 (pow.f64 a 4)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 -1/2 (pow.f64 a 4)) (+.f64 (.f64 4 (*.f64 a (-.f64 a (pow.f64 a 2)))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))))) 1)
(+.f64 (fma.f64 (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 a 4))) (.f64 b b) (+.f64 (fma.f64 4 (.f64 a (-.f64 a (*.f64 a a))) (pow.f64 a 4)) (pow.f64 b 4))) -1)
(fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 a 4))) (+.f64 (+.f64 (pow.f64 a 4) (fma.f64 (.f64 a 4) (-.f64 a (*.f64 a a)) (pow.f64 b 4))) -1))
(+.f64 -1 (+.f64 (pow.f64 b 4) (fma.f64 a (.f64 4 (-.f64 a (.f64 a a))) (fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) (fma.f64 a 4 12)) (pow.f64 a 4)))))
(+.f64 (fma.f64 a (.f64 4 (-.f64 a (.f64 a a))) (pow.f64 a 4)) (fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) (fma.f64 a 4 12))) -1))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (.f64 1/2 (pow.f64 a 4)) (+.f64 (.f64 -1/2 (pow.f64 a 4)) (+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a 4)) (*.f64 1/4 (pow.f64 a 4))) (pow.f64 a 2)) (pow.f64 b 2))))))))))) 1)
(+.f64 (fma.f64 (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 a 4))) (.f64 b b) (+.f64 (fma.f64 4 (.f64 a (-.f64 a (*.f64 a a))) (pow.f64 a 4)) (pow.f64 b 4))) -1)
(fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 a 4))) (+.f64 (+.f64 (pow.f64 a 4) (fma.f64 (.f64 a 4) (-.f64 a (*.f64 a a)) (pow.f64 b 4))) -1))
(+.f64 -1 (+.f64 (pow.f64 b 4) (fma.f64 a (.f64 4 (-.f64 a (.f64 a a))) (fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) (fma.f64 a 4 12)) (pow.f64 a 4)))))
(+.f64 (fma.f64 a (.f64 4 (-.f64 a (.f64 a a))) (pow.f64 a 4)) (fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) (fma.f64 a 4 12))) -1))
(pow.f64 b 4)
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (*.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (pow.f64 b 4))
(fma.f64 (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 a 4))) (*.f64 b b) (pow.f64 b 4))
(fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) (+.f64 12 (*.f64 a 4))) (pow.f64 b 4))
(fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) (fma.f64 a 4 12)) (pow.f64 b 4))
(-.f64 (+.f64 (.f64 1/2 (pow.f64 a 4)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 -1/2 (pow.f64 a 4)) (+.f64 (.f64 4 (*.f64 a (-.f64 a (pow.f64 a 2)))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))))) 1)
(+.f64 (fma.f64 (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 a 4))) (.f64 b b) (+.f64 (fma.f64 4 (.f64 a (-.f64 a (*.f64 a a))) (pow.f64 a 4)) (pow.f64 b 4))) -1)
(fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 a 4))) (+.f64 (+.f64 (pow.f64 a 4) (fma.f64 (.f64 a 4) (-.f64 a (*.f64 a a)) (pow.f64 b 4))) -1))
(+.f64 -1 (+.f64 (pow.f64 b 4) (fma.f64 a (.f64 4 (-.f64 a (.f64 a a))) (fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) (fma.f64 a 4 12)) (pow.f64 a 4)))))
(+.f64 (fma.f64 a (.f64 4 (-.f64 a (.f64 a a))) (pow.f64 a 4)) (fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) (fma.f64 a 4 12))) -1))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (.f64 1/2 (pow.f64 a 4)) (+.f64 (.f64 -1/2 (pow.f64 a 4)) (+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a 4)) (*.f64 1/4 (pow.f64 a 4))) (pow.f64 a 2)) (pow.f64 b 2))))))))))) 1)
(+.f64 (fma.f64 (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 a 4))) (.f64 b b) (+.f64 (fma.f64 4 (.f64 a (-.f64 a (*.f64 a a))) (pow.f64 a 4)) (pow.f64 b 4))) -1)
(fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 a 4))) (+.f64 (+.f64 (pow.f64 a 4) (fma.f64 (.f64 a 4) (-.f64 a (*.f64 a a)) (pow.f64 b 4))) -1))
(+.f64 -1 (+.f64 (pow.f64 b 4) (fma.f64 a (.f64 4 (-.f64 a (.f64 a a))) (fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) (fma.f64 a 4 12)) (pow.f64 a 4)))))
(+.f64 (fma.f64 a (.f64 4 (-.f64 a (.f64 a a))) (pow.f64 a 4)) (fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) (fma.f64 a 4 12))) -1))

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4))))
	0.0b	(*.f64 a (+.f64 a -4))
✓	0.0b	(*.f64 a (+.f64 a -4))
✓	0.1b	(.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4))))

Compiler

Compiled 48 to 30 computations (37.5% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	a	@	inf	(.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4))))
1.0ms	a	@	0	(.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4))))
0.0ms	a	@	-inf	(.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4))))
0.0ms	a	@	inf	(*.f64 a (+.f64 a -4))
0.0ms	a	@	-inf	(*.f64 a (+.f64 a -4))

rewrite59.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

479×	`log-prod_binary64`
429×	`fma-def_binary64`
417×	`prod-diff_binary64`
371×	`pow-prod-down_binary64`
262×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	212	21
2	2939	21

Stop Event

1×	node limit

Counts

2 → 114

Calls

Call 1

Inputs
(.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4))))
(*.f64 a (+.f64 a -4))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (*.f64 a 4)) (*.f64 (+.f64 a -4) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 a -4) (pow.f64 a 3)) (*.f64 a (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 a (*.f64 a (fma.f64 a (+.f64 a -4) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a (*.f64 a 4)) 1) (*.f64 (*.f64 (+.f64 a -4) (pow.f64 a 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 a (+.f64 a -4) 4)) (*.f64 a a))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 a (+.f64 a -4) 4)) (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 a (+.f64 a -4) 4)) (*.f64 a a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 a (+.f64 a -4) 4)) (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a (*.f64 a (fma.f64 a (+.f64 a -4) 4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 a (*.f64 a 4)) 3) (pow.f64 (*.f64 (+.f64 a -4) (pow.f64 a 3)) 3)) (+.f64 (pow.f64 (*.f64 a (*.f64 a 4)) 2) (-.f64 (pow.f64 (*.f64 (+.f64 a -4) (pow.f64 a 3)) 2) (*.f64 (*.f64 a (*.f64 a 4)) (*.f64 (+.f64 a -4) (pow.f64 a 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 a (*.f64 a 4)) 2) (pow.f64 (*.f64 (+.f64 a -4) (pow.f64 a 3)) 2)) (-.f64 (*.f64 a (*.f64 a 4)) (*.f64 (+.f64 a -4) (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 64 (pow.f64 (*.f64 a (+.f64 a -4)) 3)) (*.f64 a a)) (fma.f64 (*.f64 a (+.f64 a -4)) (fma.f64 a (+.f64 a -4) -4) 16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 16 (pow.f64 (*.f64 a (+.f64 a -4)) 2)) (*.f64 a a)) (-.f64 4 (*.f64 a (+.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a a) (+.f64 64 (pow.f64 (*.f64 a (+.f64 a -4)) 3))) (fma.f64 (*.f64 a (+.f64 a -4)) (fma.f64 a (+.f64 a -4) -4) 16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a a) (-.f64 16 (pow.f64 (*.f64 a (+.f64 a -4)) 2))) (-.f64 4 (*.f64 a (+.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (*.f64 a (fma.f64 a (+.f64 a -4) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (sqrt.f64 (fma.f64 a (+.f64 a -4) 4))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (sqrt.f64 (fma.f64 a (+.f64 a -4) 4))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (*.f64 a (fma.f64 a (+.f64 a -4) 4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (sqrt.f64 (fma.f64 a (+.f64 a -4) 4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a (sqrt.f64 (fma.f64 a (+.f64 a -4) 4))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 a (+.f64 a -4) 4)) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a (*.f64 a (fma.f64 a (+.f64 a -4) 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (+.f64 a -4) (pow.f64 a 3))) (exp.f64 (*.f64 a (*.f64 a 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (sqrt.f64 (fma.f64 a (+.f64 a -4) 4))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (*.f64 a (fma.f64 a (+.f64 a -4) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (*.f64 a 4) (*.f64 (+.f64 a -4) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (*.f64 a (*.f64 a (+.f64 a -4))) (*.f64 a (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (*.f64 (+.f64 a -4) (*.f64 a a)) (*.f64 a (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a a) 4 (*.f64 (+.f64 a -4) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a a) (*.f64 a (+.f64 a -4)) (*.f64 a (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (*.f64 a a) (*.f64 (+.f64 a -4) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 a -4) (pow.f64 a 3) (*.f64 a (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (+.f64 a -4)) (*.f64 a a) (*.f64 a (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 a (*.f64 a 4)) (*.f64 (+.f64 a -4) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (+.f64 a -4) (pow.f64 a 3)) (*.f64 a (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 a) a) (*.f64 (pow.f64 (cbrt.f64 a) 2) 4) (*.f64 (+.f64 a -4) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 a) a) (*.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 a (+.f64 a -4))) (*.f64 a (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 a (+.f64 a -4))) 2) (*.f64 (cbrt.f64 (*.f64 a (+.f64 a -4))) (*.f64 a a)) (*.f64 a (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 a (sqrt.f64 (*.f64 a -4))) (*.f64 (hypot.f64 a (sqrt.f64 (*.f64 a -4))) (*.f64 a a)) (*.f64 a (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a 3) (+.f64 a -4) (*.f64 a (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (*.f64 a 4)) 1 (*.f64 (*.f64 (+.f64 a -4) (pow.f64 a 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (cbrt.f64 (+.f64 a -4)) a) 2) (*.f64 (cbrt.f64 (+.f64 a -4)) a) (*.f64 a (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 a (*.f64 a 4))) 2) (cbrt.f64 (*.f64 a (*.f64 a 4))) (*.f64 (+.f64 a -4) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (hypot.f64 a (sqrt.f64 (*.f64 a -4)))) (*.f64 a (hypot.f64 a (sqrt.f64 (*.f64 a -4)))) (*.f64 a (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 a (*.f64 a 4))) (sqrt.f64 (*.f64 a (*.f64 a 4))) (*.f64 (+.f64 a -4) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 a) a (*.f64 (+.f64 a -4) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a (+.f64 a -4)) a) a (*.f64 a (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a a) (+.f64 a -4)) a (*.f64 a (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 a (cbrt.f64 (*.f64 a (+.f64 a -4)))) 2) (cbrt.f64 (*.f64 a (+.f64 a -4))) (*.f64 a (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a a) (hypot.f64 a (sqrt.f64 (*.f64 a -4)))) (hypot.f64 a (sqrt.f64 (*.f64 a -4))) (*.f64 a (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (*.f64 (cbrt.f64 a) a)) (pow.f64 (cbrt.f64 a) 2) (*.f64 (+.f64 a -4) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a (+.f64 a -4)) (*.f64 (cbrt.f64 a) a)) (pow.f64 (cbrt.f64 a) 2) (*.f64 a (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (*.f64 a (fma.f64 a (+.f64 a -4) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (*.f64 a (fma.f64 a (+.f64 a -4) 4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 a (sqrt.f64 (fma.f64 a (+.f64 a -4) 4))) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 a (*.f64 a (fma.f64 a (+.f64 a -4) 4))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (sqrt.f64 (fma.f64 a (+.f64 a -4) 4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (*.f64 a (fma.f64 a (+.f64 a -4) 4)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a a) (*.f64 a -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a a) (*.f64 (*.f64 a -4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a -4) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 a (+.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (+.f64 a -4))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (+.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (+.f64 a -4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (+.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a (+.f64 a -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a 6) (pow.f64 (*.f64 a -4) 3)) (+.f64 (pow.f64 a 4) (-.f64 (pow.f64 (*.f64 a -4) 2) (*.f64 (*.f64 a a) (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 a 4) (pow.f64 (*.f64 a -4) 2)) (-.f64 (*.f64 a a) (*.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -64 (pow.f64 a 3)) a) (-.f64 (fma.f64 a a 16) (*.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 a a -16) a) (+.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (+.f64 -64 (pow.f64 a 3))) (-.f64 (fma.f64 a a 16) (*.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (fma.f64 a a -16)) (+.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (+.f64 a -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (+.f64 a -4)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (+.f64 a -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 a (sqrt.f64 (*.f64 a -4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (+.f64 a -4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a (+.f64 a -4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (+.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a (+.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 a a))) (exp.f64 (*.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 a -4)) (pow.f64 (exp.f64 a) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 a -4)) (+.f64 1 (expm1.f64 (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (+.f64 a -4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (+.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a a (*.f64 a -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a a (*.f64 (*.f64 a -4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a -4 (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a a) 1 (*.f64 a -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a a) 1 (*.f64 (*.f64 a -4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -4 a (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 a a) (*.f64 a -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 a a) (*.f64 (*.f64 a -4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 a -4) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) a) (*.f64 a -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) a) (*.f64 (*.f64 a -4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) -4) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 a) a) (pow.f64 (cbrt.f64 a) 2) (*.f64 a -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 a) a) (pow.f64 (cbrt.f64 a) 2) (*.f64 (*.f64 a -4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (pow.f64 a 3/2) (*.f64 a -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (pow.f64 a 3/2) (*.f64 (*.f64 a -4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) -4) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a 3/2) (sqrt.f64 a) (*.f64 a -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a 3/2) (sqrt.f64 a) (*.f64 (*.f64 a -4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 a -4)) 2) (cbrt.f64 (*.f64 a -4)) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 (*.f64 a -4)) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -4 (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -4 (sqrt.f64 a)) (sqrt.f64 a) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 5) (cbrt.f64 a) (*.f64 a -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 5) (cbrt.f64 a) (*.f64 (*.f64 a -4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (+.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (+.f64 a -4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 a (+.f64 a -4)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 a (sqrt.f64 (*.f64 a -4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 a (+.f64 a -4)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (+.f64 a -4))))))))

simplify79.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1158×	`distribute-rgt-out_binary64`
664×	`associate-r_binary64`
466×	`fma-def_binary64`
452×	`associate-+l+_binary64`
442×	`associate-+r+_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	16	243
1	42	234
2	91	225
3	267	211
4	790	205
5	2724	205
6	2922	205
7	3179	205
8	4024	205
9	5737	205
10	6271	205

Stop Event

1×	node limit

Counts

138 → 129

Calls

Call 1

Inputs
(*.f64 4 (pow.f64 a 2))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (pow.f64 a 4)))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (pow.f64 a 4)))
(pow.f64 a 4)
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (pow.f64 a 4)))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (pow.f64 a 4)))
(pow.f64 a 4)
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (pow.f64 a 4)))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (pow.f64 a 4)))
(*.f64 -4 a)
(+.f64 (*.f64 -4 a) (pow.f64 a 2))
(+.f64 (*.f64 -4 a) (pow.f64 a 2))
(+.f64 (*.f64 -4 a) (pow.f64 a 2))
(pow.f64 a 2)
(+.f64 (*.f64 -4 a) (pow.f64 a 2))
(+.f64 (*.f64 -4 a) (pow.f64 a 2))
(+.f64 (*.f64 -4 a) (pow.f64 a 2))
(pow.f64 a 2)
(+.f64 (*.f64 -4 a) (pow.f64 a 2))
(+.f64 (*.f64 -4 a) (pow.f64 a 2))
(+.f64 (*.f64 -4 a) (pow.f64 a 2))

Outputs
(*.f64 4 (pow.f64 a 2))
(.f64 4 (.f64 a a))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(fma.f64 4 (.f64 a a) (.f64 -4 (pow.f64 a 3)))
(.f64 (.f64 a a) (+.f64 4 (*.f64 a -4)))
(.f64 (.f64 a a) (fma.f64 a -4 4))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (pow.f64 a 4)))
(fma.f64 4 (*.f64 a a) (fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4)))
(fma.f64 4 (.f64 a a) (.f64 (pow.f64 a 3) (+.f64 a -4)))
(fma.f64 a (*.f64 a (fma.f64 a -4 4)) (pow.f64 a 4))
(.f64 (.f64 a a) (fma.f64 a (+.f64 a -4) 4))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (pow.f64 a 4)))
(fma.f64 4 (*.f64 a a) (fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4)))
(fma.f64 4 (.f64 a a) (.f64 (pow.f64 a 3) (+.f64 a -4)))
(fma.f64 a (*.f64 a (fma.f64 a -4 4)) (pow.f64 a 4))
(.f64 (.f64 a a) (fma.f64 a (+.f64 a -4) 4))
(pow.f64 a 4)
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4))
(*.f64 (pow.f64 a 3) (+.f64 a -4))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (pow.f64 a 4)))
(fma.f64 4 (*.f64 a a) (fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4)))
(fma.f64 4 (.f64 a a) (.f64 (pow.f64 a 3) (+.f64 a -4)))
(fma.f64 a (*.f64 a (fma.f64 a -4 4)) (pow.f64 a 4))
(.f64 (.f64 a a) (fma.f64 a (+.f64 a -4) 4))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (pow.f64 a 4)))
(fma.f64 4 (*.f64 a a) (fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4)))
(fma.f64 4 (.f64 a a) (.f64 (pow.f64 a 3) (+.f64 a -4)))
(fma.f64 a (*.f64 a (fma.f64 a -4 4)) (pow.f64 a 4))
(.f64 (.f64 a a) (fma.f64 a (+.f64 a -4) 4))
(pow.f64 a 4)
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4))
(*.f64 (pow.f64 a 3) (+.f64 a -4))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (pow.f64 a 4)))
(fma.f64 4 (*.f64 a a) (fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4)))
(fma.f64 4 (.f64 a a) (.f64 (pow.f64 a 3) (+.f64 a -4)))
(fma.f64 a (*.f64 a (fma.f64 a -4 4)) (pow.f64 a 4))
(.f64 (.f64 a a) (fma.f64 a (+.f64 a -4) 4))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (pow.f64 a 4)))
(fma.f64 4 (*.f64 a a) (fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4)))
(fma.f64 4 (.f64 a a) (.f64 (pow.f64 a 3) (+.f64 a -4)))
(fma.f64 a (*.f64 a (fma.f64 a -4 4)) (pow.f64 a 4))
(.f64 (.f64 a a) (fma.f64 a (+.f64 a -4) 4))
(*.f64 -4 a)
(*.f64 a -4)
(+.f64 (*.f64 -4 a) (pow.f64 a 2))
(fma.f64 -4 a (*.f64 a a))
(*.f64 a (+.f64 a -4))
(+.f64 (*.f64 -4 a) (pow.f64 a 2))
(fma.f64 -4 a (*.f64 a a))
(*.f64 a (+.f64 a -4))
(+.f64 (*.f64 -4 a) (pow.f64 a 2))
(fma.f64 -4 a (*.f64 a a))
(*.f64 a (+.f64 a -4))
(pow.f64 a 2)
(*.f64 a a)
(+.f64 (*.f64 -4 a) (pow.f64 a 2))
(fma.f64 -4 a (*.f64 a a))
(*.f64 a (+.f64 a -4))
(+.f64 (*.f64 -4 a) (pow.f64 a 2))
(fma.f64 -4 a (*.f64 a a))
(*.f64 a (+.f64 a -4))
(+.f64 (*.f64 -4 a) (pow.f64 a 2))
(fma.f64 -4 a (*.f64 a a))
(*.f64 a (+.f64 a -4))
(pow.f64 a 2)
(*.f64 a a)
(+.f64 (*.f64 -4 a) (pow.f64 a 2))
(fma.f64 -4 a (*.f64 a a))
(*.f64 a (+.f64 a -4))
(+.f64 (*.f64 -4 a) (pow.f64 a 2))
(fma.f64 -4 a (*.f64 a a))
(*.f64 a (+.f64 a -4))
(+.f64 (*.f64 -4 a) (pow.f64 a 2))
(fma.f64 -4 a (*.f64 a a))
(*.f64 a (+.f64 a -4))

localize4.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

localize38.0ms (0.5%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(.f64 (.f64 a a) (-.f64 1 a))
	0.0b	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
	0.0b	(+.f64 (pow.f64 b 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
	0.0b	(-.f64 (+.f64 (pow.f64 b 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
✓	0.0b	(+.f64 (pow.f64 b 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
✓	0.0b	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
	0.1b	(.f64 (.f64 a a) (-.f64 1 a))
	0.5b	(.f64 (.f64 b b) (+.f64 3 a))

Compiler

Compiled 112 to 61 computations (45.5% saved)

series6.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
1.0ms	b	@	inf	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
1.0ms	b	@	inf	(+.f64 (pow.f64 b 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
1.0ms	b	@	-inf	(+.f64 (pow.f64 b 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
0.0ms	b	@	0	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))

rewrite92.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

878×	`log-prod_binary64`
432×	`fma-neg_binary64`
308×	`expm1-udef_binary64`
307×	`log1p-udef_binary64`
248×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	52
1	371	50
2	5378	50

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

Inputs
(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
(+.f64 (pow.f64 b 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 (*.f64 b b) (+.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 4 (*.f64 (*.f64 a a) (-.f64 1 a))) (*.f64 (+.f64 a 3) (*.f64 (*.f64 b b) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 a 3) (*.f64 (*.f64 b b) 4)) (*.f64 4 (*.f64 (*.f64 a a) (-.f64 1 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 4 (*.f64 (*.f64 a a) (-.f64 1 a))) 1) (*.f64 (*.f64 (+.f64 a 3) (*.f64 (*.f64 b b) 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 (*.f64 b b) (+.f64 a 3))))) (cbrt.f64 (pow.f64 (exp.f64 4) (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 (*.f64 b b) (+.f64 a 3))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 (*.f64 b b) (+.f64 a 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 (*.f64 b b) (+.f64 a 3))) (pow.f64 b 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 b 8) (+.f64 (pow.f64 b 4) (*.f64 -4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 (*.f64 b b) (+.f64 a 3)))))) (/.f64 (*.f64 16 (pow.f64 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 (*.f64 b b) (+.f64 a 3))) 2)) (+.f64 (pow.f64 b 4) (*.f64 -4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 (*.f64 b b) (+.f64 a 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 (*.f64 b b) (+.f64 a 3))) (pow.f64 b 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 (*.f64 b b) (+.f64 a 3))) (pow.f64 b 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 (*.f64 b b) (+.f64 a 3))) (pow.f64 b 4))) (pow.f64 (cbrt.f64 (fma.f64 4 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(#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 (*.f64 b b) (+.f64 a 3)))))) (exp.f64 (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 4) (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 (*.f64 b b) (+.f64 a 3)))) (+.f64 1 (expm1.f64 (pow.f64 b 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 (*.f64 b b) (+.f64 a 3)))))) (+.f64 1 (expm1.f64 (pow.f64 b 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 b 4))) (pow.f64 (exp.f64 4) (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 (*.f64 b b) (+.f64 a 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (pow.f64 b 4)) (+.f64 1 (expm1.f64 (*.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 (*.f64 b b) (+.f64 a 3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 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simplify65.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

952×	`fma-neg_binary64`
546×	`difference-of-squares_binary64`
483×	`associate-l_binary64`
385×	`fma-def_binary64`
350×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	45	1076
1	138	964
2	388	885
3	1379	868
4	2990	868
5	4812	868

Stop Event

1×	node limit

Counts

119 → 100

Calls

Call 1

Inputs
(*.f64 12 (pow.f64 b 2))
(+.f64 (.f64 12 (pow.f64 b 2)) (.f64 4 (*.f64 a (pow.f64 b 2))))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 12 (pow.f64 b 2)) (.f64 4 (.f64 a (pow.f64 b 2)))))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 12 (pow.f64 b 2)) (.f64 4 (*.f64 a (pow.f64 b 2))))))
(*.f64 -4 (pow.f64 a 3))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (.f64 4 (.f64 a (pow.f64 b 2)))))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 12 (pow.f64 b 2)) (.f64 4 (*.f64 a (pow.f64 b 2))))))
(*.f64 -4 (pow.f64 a 3))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (.f64 4 (.f64 a (pow.f64 b 2)))))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 12 (pow.f64 b 2)) (.f64 4 (*.f64 a (pow.f64 b 2))))))
(.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a)))
(+.f64 (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))))
(+.f64 (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))))
(+.f64 (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))))
(.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a)))
(+.f64 (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))) (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))))
(+.f64 (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))) (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))))
(+.f64 (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))) (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))))
(.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a)))
(+.f64 (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))) (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))))
(+.f64 (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))) (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))))
(+.f64 (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))) (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))))
(.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a)))
(+.f64 (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))))
(+.f64 (pow.f64 b 4) (+.f64 (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a)))))
(+.f64 (pow.f64 b 4) (+.f64 (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a)))))
(pow.f64 b 4)
(+.f64 (pow.f64 b 4) (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))))
(+.f64 (pow.f64 b 4) (+.f64 (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a)))))
(+.f64 (pow.f64 b 4) (+.f64 (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a)))))
(pow.f64 b 4)
(+.f64 (pow.f64 b 4) (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))))
(+.f64 (pow.f64 b 4) (+.f64 (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a)))))
(+.f64 (pow.f64 b 4) (+.f64 (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a)))))
(+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4))
(+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 b 4)))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (.f64 a (pow.f64 b 2))) (pow.f64 b 4))))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 b 4)))))
(*.f64 -4 (pow.f64 a 3))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (.f64 4 (.f64 a (pow.f64 b 2)))))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (pow.f64 b 4) (.f64 4 (*.f64 a (pow.f64 b 2)))))))
(*.f64 -4 (pow.f64 a 3))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (.f64 4 (.f64 a (pow.f64 b 2)))))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (pow.f64 b 4) (.f64 4 (*.f64 a (pow.f64 b 2)))))))

Outputs
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(+.f64 (.f64 12 (pow.f64 b 2)) (.f64 4 (*.f64 a (pow.f64 b 2))))
(fma.f64 12 (.f64 b b) (.f64 4 (.f64 (.f64 b b) a)))
(.f64 (.f64 b b) (+.f64 12 (*.f64 4 a)))
(.f64 (.f64 b b) (fma.f64 4 a 12))
(.f64 b (.f64 b (fma.f64 4 a 12)))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 12 (pow.f64 b 2)) (.f64 4 (.f64 a (pow.f64 b 2)))))
(fma.f64 4 (.f64 a a) (fma.f64 12 (.f64 b b) (.f64 4 (.f64 (*.f64 b b) a))))
(fma.f64 4 (.f64 a a) (.f64 (.f64 b b) (+.f64 12 (.f64 4 a))))
(fma.f64 (.f64 b b) (fma.f64 4 a 12) (.f64 4 (*.f64 a a)))
(fma.f64 4 (.f64 a a) (.f64 (*.f64 b b) (fma.f64 4 a 12)))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 12 (pow.f64 b 2)) (.f64 4 (*.f64 a (pow.f64 b 2))))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (fma.f64 12 (.f64 b b) (.f64 4 (.f64 (*.f64 b b) a)))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (.f64 (.f64 b b) (+.f64 12 (.f64 4 a)))))
(fma.f64 (.f64 b b) (fma.f64 4 a 12) (.f64 (.f64 a a) (+.f64 (.f64 a -4) 4)))
(.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (-.f64 (*.f64 a a) (pow.f64 a 3))))
(.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (-.f64 a (.f64 a a)))))
(.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (-.f64 a (.f64 a a)))))
(*.f64 -4 (pow.f64 a 3))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(fma.f64 4 (.f64 a a) (.f64 -4 (pow.f64 a 3)))
(.f64 (.f64 a a) (+.f64 (*.f64 a -4) 4))
(.f64 (.f64 4 (*.f64 a a)) (-.f64 1 a))
(.f64 4 (.f64 a (-.f64 a (*.f64 a a))))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (.f64 4 (.f64 a (pow.f64 b 2)))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (.f64 4 (.f64 (.f64 b b) a))))
(fma.f64 4 (.f64 a a) (fma.f64 4 (.f64 b (.f64 b a)) (.f64 -4 (pow.f64 a 3))))
(fma.f64 -4 (pow.f64 a 3) (.f64 (.f64 4 a) (+.f64 (*.f64 b b) a)))
(.f64 4 (-.f64 (.f64 a (+.f64 (*.f64 b b) a)) (pow.f64 a 3)))
(.f64 4 (.f64 a (+.f64 (.f64 b b) (-.f64 a (.f64 a a)))))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 12 (pow.f64 b 2)) (.f64 4 (*.f64 a (pow.f64 b 2))))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (fma.f64 12 (.f64 b b) (.f64 4 (.f64 (*.f64 b b) a)))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (.f64 (.f64 b b) (+.f64 12 (.f64 4 a)))))
(fma.f64 (.f64 b b) (fma.f64 4 a 12) (.f64 (.f64 a a) (+.f64 (.f64 a -4) 4)))
(.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (-.f64 (*.f64 a a) (pow.f64 a 3))))
(.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (-.f64 a (.f64 a a)))))
(.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (-.f64 a (.f64 a a)))))
(*.f64 -4 (pow.f64 a 3))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(fma.f64 4 (.f64 a a) (.f64 -4 (pow.f64 a 3)))
(.f64 (.f64 a a) (+.f64 (*.f64 a -4) 4))
(.f64 (.f64 4 (*.f64 a a)) (-.f64 1 a))
(.f64 4 (.f64 a (-.f64 a (*.f64 a a))))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (.f64 4 (.f64 a (pow.f64 b 2)))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (.f64 4 (.f64 (.f64 b b) a))))
(fma.f64 4 (.f64 a a) (fma.f64 4 (.f64 b (.f64 b a)) (.f64 -4 (pow.f64 a 3))))
(fma.f64 -4 (pow.f64 a 3) (.f64 (.f64 4 a) (+.f64 (*.f64 b b) a)))
(.f64 4 (-.f64 (.f64 a (+.f64 (*.f64 b b) a)) (pow.f64 a 3)))
(.f64 4 (.f64 a (+.f64 (.f64 b b) (-.f64 a (.f64 a a)))))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 12 (pow.f64 b 2)) (.f64 4 (*.f64 a (pow.f64 b 2))))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (fma.f64 12 (.f64 b b) (.f64 4 (.f64 (*.f64 b b) a)))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (.f64 (.f64 b b) (+.f64 12 (.f64 4 a)))))
(fma.f64 (.f64 b b) (fma.f64 4 a 12) (.f64 (.f64 a a) (+.f64 (.f64 a -4) 4)))
(.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (-.f64 (*.f64 a a) (pow.f64 a 3))))
(.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (-.f64 a (.f64 a a)))))
(.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (-.f64 a (.f64 a a)))))
(.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a)))
(fma.f64 4 (.f64 a a) (.f64 -4 (pow.f64 a 3)))
(.f64 (.f64 a a) (+.f64 (*.f64 a -4) 4))
(.f64 (.f64 4 (*.f64 a a)) (-.f64 1 a))
(.f64 4 (.f64 a (-.f64 a (*.f64 a a))))
(+.f64 (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (fma.f64 12 (.f64 b b) (.f64 4 (.f64 (*.f64 b b) a)))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (.f64 (.f64 b b) (+.f64 12 (.f64 4 a)))))
(fma.f64 (.f64 b b) (fma.f64 4 a 12) (.f64 (.f64 a a) (+.f64 (.f64 a -4) 4)))
(.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (-.f64 (*.f64 a a) (pow.f64 a 3))))
(.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (-.f64 a (.f64 a a)))))
(.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (-.f64 a (.f64 a a)))))
(+.f64 (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (fma.f64 12 (.f64 b b) (.f64 4 (.f64 (*.f64 b b) a)))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (.f64 (.f64 b b) (+.f64 12 (.f64 4 a)))))
(fma.f64 (.f64 b b) (fma.f64 4 a 12) (.f64 (.f64 a a) (+.f64 (.f64 a -4) 4)))
(.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (-.f64 (*.f64 a a) (pow.f64 a 3))))
(.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (-.f64 a (.f64 a a)))))
(.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (-.f64 a (.f64 a a)))))
(+.f64 (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (fma.f64 12 (.f64 b b) (.f64 4 (.f64 (*.f64 b b) a)))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (.f64 (.f64 b b) (+.f64 12 (.f64 4 a)))))
(fma.f64 (.f64 b b) (fma.f64 4 a 12) (.f64 (.f64 a a) (+.f64 (.f64 a -4) 4)))
(.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (-.f64 (*.f64 a a) (pow.f64 a 3))))
(.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (-.f64 a (.f64 a a)))))
(.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (-.f64 a (.f64 a a)))))
(.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a)))
(fma.f64 12 (.f64 b b) (.f64 4 (.f64 (.f64 b b) a)))
(.f64 (.f64 b b) (+.f64 12 (*.f64 4 a)))
(.f64 (.f64 b b) (fma.f64 4 a 12))
(.f64 b (.f64 b (fma.f64 4 a 12)))
(+.f64 (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))) (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (fma.f64 12 (.f64 b b) (.f64 4 (.f64 (*.f64 b b) a)))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (.f64 (.f64 b b) (+.f64 12 (.f64 4 a)))))
(fma.f64 (.f64 b b) (fma.f64 4 a 12) (.f64 (.f64 a a) (+.f64 (.f64 a -4) 4)))
(.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (-.f64 (*.f64 a a) (pow.f64 a 3))))
(.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (-.f64 a (.f64 a a)))))
(.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (-.f64 a (.f64 a a)))))
(+.f64 (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))) (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (fma.f64 12 (.f64 b b) (.f64 4 (.f64 (*.f64 b b) a)))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (.f64 (.f64 b b) (+.f64 12 (.f64 4 a)))))
(fma.f64 (.f64 b b) (fma.f64 4 a 12) (.f64 (.f64 a a) (+.f64 (.f64 a -4) 4)))
(.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (-.f64 (*.f64 a a) (pow.f64 a 3))))
(.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (-.f64 a (.f64 a a)))))
(.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (-.f64 a (.f64 a a)))))
(+.f64 (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))) (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (fma.f64 12 (.f64 b b) (.f64 4 (.f64 (*.f64 b b) a)))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (.f64 (.f64 b b) (+.f64 12 (.f64 4 a)))))
(fma.f64 (.f64 b b) (fma.f64 4 a 12) (.f64 (.f64 a a) (+.f64 (.f64 a -4) 4)))
(.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (-.f64 (*.f64 a a) (pow.f64 a 3))))
(.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (-.f64 a (.f64 a a)))))
(.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (-.f64 a (.f64 a a)))))
(.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a)))
(fma.f64 12 (.f64 b b) (.f64 4 (.f64 (.f64 b b) a)))
(.f64 (.f64 b b) (+.f64 12 (*.f64 4 a)))
(.f64 (.f64 b b) (fma.f64 4 a 12))
(.f64 b (.f64 b (fma.f64 4 a 12)))
(+.f64 (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))) (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (fma.f64 12 (.f64 b b) (.f64 4 (.f64 (*.f64 b b) a)))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (.f64 (.f64 b b) (+.f64 12 (.f64 4 a)))))
(fma.f64 (.f64 b b) (fma.f64 4 a 12) (.f64 (.f64 a a) (+.f64 (.f64 a -4) 4)))
(.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (-.f64 (*.f64 a a) (pow.f64 a 3))))
(.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (-.f64 a (.f64 a a)))))
(.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (-.f64 a (.f64 a a)))))
(+.f64 (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))) (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (fma.f64 12 (.f64 b b) (.f64 4 (.f64 (*.f64 b b) a)))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (.f64 (.f64 b b) (+.f64 12 (.f64 4 a)))))
(fma.f64 (.f64 b b) (fma.f64 4 a 12) (.f64 (.f64 a a) (+.f64 (.f64 a -4) 4)))
(.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (-.f64 (*.f64 a a) (pow.f64 a 3))))
(.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (-.f64 a (.f64 a a)))))
(.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (-.f64 a (.f64 a a)))))
(+.f64 (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))) (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (fma.f64 12 (.f64 b b) (.f64 4 (.f64 (*.f64 b b) a)))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (.f64 (.f64 b b) (+.f64 12 (.f64 4 a)))))
(fma.f64 (.f64 b b) (fma.f64 4 a 12) (.f64 (.f64 a a) (+.f64 (.f64 a -4) 4)))
(.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (-.f64 (*.f64 a a) (pow.f64 a 3))))
(.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (-.f64 a (.f64 a a)))))
(.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (-.f64 a (.f64 a a)))))
(.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a)))
(fma.f64 4 (.f64 a a) (.f64 -4 (pow.f64 a 3)))
(.f64 (.f64 a a) (+.f64 (*.f64 a -4) 4))
(.f64 (.f64 4 (*.f64 a a)) (-.f64 1 a))
(.f64 4 (.f64 a (-.f64 a (*.f64 a a))))
(+.f64 (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (fma.f64 12 (.f64 b b) (.f64 4 (.f64 (*.f64 b b) a)))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (.f64 (.f64 b b) (+.f64 12 (.f64 4 a)))))
(fma.f64 (.f64 b b) (fma.f64 4 a 12) (.f64 (.f64 a a) (+.f64 (.f64 a -4) 4)))
(.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (-.f64 (*.f64 a a) (pow.f64 a 3))))
(.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (-.f64 a (.f64 a a)))))
(.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (-.f64 a (.f64 a a)))))
(+.f64 (pow.f64 b 4) (+.f64 (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a)))))
(+.f64 (.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 a 3)) (.f64 (*.f64 a a) (-.f64 1 a)))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (*.f64 a (-.f64 1 a)))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 (*.f64 a a) (-.f64 1 a))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (-.f64 (.f64 a a) (pow.f64 a 3))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (-.f64 a (*.f64 a a)))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (-.f64 a (*.f64 a a)))) (pow.f64 b 4))
(+.f64 (pow.f64 b 4) (+.f64 (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a)))))
(+.f64 (.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 a 3)) (.f64 (*.f64 a a) (-.f64 1 a)))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (*.f64 a (-.f64 1 a)))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 (*.f64 a a) (-.f64 1 a))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (-.f64 (.f64 a a) (pow.f64 a 3))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (-.f64 a (*.f64 a a)))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (-.f64 a (*.f64 a a)))) (pow.f64 b 4))
(pow.f64 b 4)
(+.f64 (pow.f64 b 4) (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))))
(+.f64 (.f64 4 (.f64 (*.f64 b b) (+.f64 a 3))) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 b b) 4) (+.f64 a 3) (pow.f64 b 4))
(fma.f64 (*.f64 b b) (fma.f64 4 a 12) (pow.f64 b 4))
(+.f64 (pow.f64 b 4) (+.f64 (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a)))))
(+.f64 (.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 a 3)) (.f64 (*.f64 a a) (-.f64 1 a)))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (*.f64 a (-.f64 1 a)))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 (*.f64 a a) (-.f64 1 a))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (-.f64 (.f64 a a) (pow.f64 a 3))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (-.f64 a (*.f64 a a)))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (-.f64 a (*.f64 a a)))) (pow.f64 b 4))
(+.f64 (pow.f64 b 4) (+.f64 (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a)))))
(+.f64 (.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 a 3)) (.f64 (*.f64 a a) (-.f64 1 a)))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (*.f64 a (-.f64 1 a)))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 (*.f64 a a) (-.f64 1 a))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (-.f64 (.f64 a a) (pow.f64 a 3))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (-.f64 a (*.f64 a a)))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (-.f64 a (*.f64 a a)))) (pow.f64 b 4))
(pow.f64 b 4)
(+.f64 (pow.f64 b 4) (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))))
(+.f64 (.f64 4 (.f64 (*.f64 b b) (+.f64 a 3))) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 b b) 4) (+.f64 a 3) (pow.f64 b 4))
(fma.f64 (*.f64 b b) (fma.f64 4 a 12) (pow.f64 b 4))
(+.f64 (pow.f64 b 4) (+.f64 (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a)))))
(+.f64 (.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 a 3)) (.f64 (*.f64 a a) (-.f64 1 a)))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (*.f64 a (-.f64 1 a)))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 (*.f64 a a) (-.f64 1 a))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (-.f64 (.f64 a a) (pow.f64 a 3))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (-.f64 a (*.f64 a a)))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (-.f64 a (*.f64 a a)))) (pow.f64 b 4))
(+.f64 (pow.f64 b 4) (+.f64 (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a)))))
(+.f64 (.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 a 3)) (.f64 (*.f64 a a) (-.f64 1 a)))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (*.f64 a (-.f64 1 a)))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 (*.f64 a a) (-.f64 1 a))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (-.f64 (.f64 a a) (pow.f64 a 3))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (-.f64 a (*.f64 a a)))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (-.f64 a (*.f64 a a)))) (pow.f64 b 4))
(+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4))
(fma.f64 12 (*.f64 b b) (pow.f64 b 4))
(.f64 b (.f64 b (fma.f64 b b 12)))
(.f64 (.f64 b b) (fma.f64 b b 12))
(+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 b 4)))
(+.f64 (.f64 4 (.f64 (*.f64 b b) (+.f64 a 3))) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 b b) 4) (+.f64 a 3) (pow.f64 b 4))
(fma.f64 (*.f64 b b) (fma.f64 4 a 12) (pow.f64 b 4))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (.f64 a (pow.f64 b 2))) (pow.f64 b 4))))
(fma.f64 4 (.f64 a a) (fma.f64 12 (.f64 b b) (fma.f64 4 (.f64 (.f64 b b) a) (pow.f64 b 4))))
(+.f64 (fma.f64 4 (.f64 a a) (.f64 (.f64 b b) (+.f64 12 (.f64 4 a)))) (pow.f64 b 4))
(fma.f64 4 (.f64 a a) (fma.f64 (.f64 b b) (fma.f64 4 a 12) (pow.f64 b 4)))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 b 4)))))
(+.f64 (.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 a 3)) (.f64 (*.f64 a a) (-.f64 1 a)))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (*.f64 a (-.f64 1 a)))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 (*.f64 a a) (-.f64 1 a))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (-.f64 (.f64 a a) (pow.f64 a 3))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (-.f64 a (*.f64 a a)))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (-.f64 a (*.f64 a a)))) (pow.f64 b 4))
(*.f64 -4 (pow.f64 a 3))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(fma.f64 4 (.f64 a a) (.f64 -4 (pow.f64 a 3)))
(.f64 (.f64 a a) (+.f64 (*.f64 a -4) 4))
(.f64 (.f64 4 (*.f64 a a)) (-.f64 1 a))
(.f64 4 (.f64 a (-.f64 a (*.f64 a a))))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (.f64 4 (.f64 a (pow.f64 b 2)))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (.f64 4 (.f64 (.f64 b b) a))))
(fma.f64 4 (.f64 a a) (fma.f64 4 (.f64 b (.f64 b a)) (.f64 -4 (pow.f64 a 3))))
(fma.f64 -4 (pow.f64 a 3) (.f64 (.f64 4 a) (+.f64 (*.f64 b b) a)))
(.f64 4 (-.f64 (.f64 a (+.f64 (*.f64 b b) a)) (pow.f64 a 3)))
(.f64 4 (.f64 a (+.f64 (.f64 b b) (-.f64 a (.f64 a a)))))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (pow.f64 b 4) (.f64 4 (*.f64 a (pow.f64 b 2)))))))
(+.f64 (.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 a 3)) (.f64 (*.f64 a a) (-.f64 1 a)))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (*.f64 a (-.f64 1 a)))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 (*.f64 a a) (-.f64 1 a))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (-.f64 (.f64 a a) (pow.f64 a 3))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (-.f64 a (*.f64 a a)))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (-.f64 a (*.f64 a a)))) (pow.f64 b 4))
(*.f64 -4 (pow.f64 a 3))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(fma.f64 4 (.f64 a a) (.f64 -4 (pow.f64 a 3)))
(.f64 (.f64 a a) (+.f64 (*.f64 a -4) 4))
(.f64 (.f64 4 (*.f64 a a)) (-.f64 1 a))
(.f64 4 (.f64 a (-.f64 a (*.f64 a a))))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (.f64 4 (.f64 a (pow.f64 b 2)))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (.f64 4 (.f64 (.f64 b b) a))))
(fma.f64 4 (.f64 a a) (fma.f64 4 (.f64 b (.f64 b a)) (.f64 -4 (pow.f64 a 3))))
(fma.f64 -4 (pow.f64 a 3) (.f64 (.f64 4 a) (+.f64 (*.f64 b b) a)))
(.f64 4 (-.f64 (.f64 a (+.f64 (*.f64 b b) a)) (pow.f64 a 3)))
(.f64 4 (.f64 a (+.f64 (.f64 b b) (-.f64 a (.f64 a a)))))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (pow.f64 b 4) (.f64 4 (*.f64 a (pow.f64 b 2)))))))
(+.f64 (.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 a 3)) (.f64 (*.f64 a a) (-.f64 1 a)))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (*.f64 a (-.f64 1 a)))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 (*.f64 a a) (-.f64 1 a))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (-.f64 (.f64 a a) (pow.f64 a 3))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (-.f64 a (*.f64 a a)))) (pow.f64 b 4))
(fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (-.f64 a (*.f64 a a)))) (pow.f64 b 4))

localize49.0ms (0.6%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(.f64 (.f64 a a) (-.f64 1 a))
	0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 b (*.f64 b 3)))))
	0.0b	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 b (*.f64 b 3))))
	0.0b	(+.f64 (.f64 a a) (.f64 b b))
✓	0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 b (*.f64 b 3)))))
	0.1b	(.f64 (.f64 a a) (-.f64 1 a))
✓	0.1b	(.f64 b (.f64 b 3))
	0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

Compiler

Compiled 128 to 63 computations (50.8% saved)

series4.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	b	@	inf	(.f64 b (.f64 b 3))
1.0ms	a	@	inf	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 b (*.f64 b 3)))))
0.0ms	b	@	0	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 b (*.f64 b 3)))))
0.0ms	b	@	0	(.f64 b (.f64 b 3))
0.0ms	a	@	0	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 b (*.f64 b 3)))))

rewrite77.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

429×	`fma-neg_binary64`
327×	`expm1-udef_binary64`
326×	`log1p-udef_binary64`
268×	`log-pow_binary64`
201×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	40
1	404	37
2	5592	37

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

Inputs
(.f64 b (.f64 b 3))
(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 b (*.f64 b 3)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 b (*.f64 b 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b (*.f64 b 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 b (*.f64 b 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b (sqrt.f64 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 b 6) 27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 b 4) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 3) b) b))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 b (*.f64 b 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 b 6) 27))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 b (*.f64 b 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 b (*.f64 b 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 b (*.f64 b 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 b (*.f64 b 3))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 b (*.f64 b 3))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4) (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (*.f64 -4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 b (*.f64 b 3)))))) (/.f64 (pow.f64 (*.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 b (*.f64 b 3)))) 2) (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (*.f64 -4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 b (*.f64 b 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 b (*.f64 b 3))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 b (*.f64 b 3))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 b (*.f64 b 3))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))) (pow.f64 (cbrt.f64 (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 b (*.f64 b 3))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 b (*.f64 b 3))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))) 2) (cbrt.f64 (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 b (*.f64 b 3))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (pow.f64 (hypot.f64 b a) 2) (*.f64 2 (hypot.f64 (*.f64 a (sqrt.f64 (-.f64 1 a))) (*.f64 b (sqrt.f64 3))))) (hypot.f64 (pow.f64 (hypot.f64 b a) 2) (*.f64 2 (hypot.f64 (*.f64 a (sqrt.f64 (-.f64 1 a))) (*.f64 b (sqrt.f64 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 6) (*.f64 64 (pow.f64 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 b (*.f64 b 3))) 3))) (/.f64 1 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4) (*.f64 (*.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 b (*.f64 b 3)))) (-.f64 (*.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 b (*.f64 b 3)))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4) (pow.f64 (*.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 b (*.f64 b 3)))) 2)) (/.f64 1 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (*.f64 -4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 b (*.f64 b 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4) (*.f64 (*.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 b (*.f64 b 3)))) (-.f64 (*.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 b (*.f64 b 3)))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)))) (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 6) (*.f64 64 (pow.f64 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 b (*.f64 b 3))) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 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(neg.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (*.f64 -4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 b (*.f64 b 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 b (*.f64 b 3)))) 2) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4)) (-.f64 (*.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 b (*.f64 b 3)))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 b (*.f64 b 3))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 b (*.f64 b 3))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 b (*.f64 b 3))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (pow.f64 (hypot.f64 b a) 2) (*.f64 2 (hypot.f64 (*.f64 a (sqrt.f64 (-.f64 1 a))) (*.f64 b (sqrt.f64 3))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 b (*.f64 b 3))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 b (*.f64 b 3))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 b (*.f64 b 3))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))) (pow.f64 (exp.f64 4) (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 b (*.f64 b 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) (+.f64 1 (expm1.f64 (*.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 b (*.f64 b 3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))) (+.f64 1 (expm1.f64 (*.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 b (*.f64 b 3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 b (*.f64 b 3)))))) (exp.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 4) (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 b (*.f64 b 3)))) (+.f64 1 (expm1.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 b (*.f64 b 3)))))) (+.f64 1 (expm1.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 b (*.f64 b 3))) (pow.f64 (pow.f64 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 b (*.f64 b 3))))) 2) (cbrt.f64 (*.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 b (*.f64 b 3))))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 b a) 2)) 2) (*.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 b (*.f64 b 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (hypot.f64 (*.f64 a (sqrt.f64 (-.f64 1 a))) (*.f64 b (sqrt.f64 3)))) (*.f64 2 (hypot.f64 (*.f64 a (sqrt.f64 (-.f64 1 a))) (*.f64 b (sqrt.f64 3)))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 b (*.f64 b 3))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 b (*.f64 b 3))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 b (*.f64 b 3))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))))))

simplify61.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

594×	`associate-+l+_binary64`
523×	`associate-l_binary64`
473×	`distribute-rgt-out_binary64`
395×	`fma-def_binary64`
366×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	48	676
1	148	666
2	445	643
3	1630	621
4	4226	621
5	6527	621

Stop Event

1×	node limit

Counts

92 → 81

Calls

Call 1

Inputs
(*.f64 3 (pow.f64 b 2))
(*.f64 3 (pow.f64 b 2))
(*.f64 3 (pow.f64 b 2))
(*.f64 3 (pow.f64 b 2))
(*.f64 3 (pow.f64 b 2))
(*.f64 3 (pow.f64 b 2))
(*.f64 3 (pow.f64 b 2))
(*.f64 3 (pow.f64 b 2))
(*.f64 3 (pow.f64 b 2))
(*.f64 3 (pow.f64 b 2))
(*.f64 3 (pow.f64 b 2))
(*.f64 3 (pow.f64 b 2))
(+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4)))
(+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 12 (pow.f64 b 2)) (pow.f64 b 4))))
(+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))))
(pow.f64 a 4)
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 (+.f64 (*.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (pow.f64 a 4)))
(+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))))
(pow.f64 a 4)
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 (+.f64 (*.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (pow.f64 a 4)))
(+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))))
(+.f64 (pow.f64 a 4) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (+.f64 (pow.f64 a 4) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a)))))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))))))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))))))
(pow.f64 b 4)
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (pow.f64 b 4))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))))))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))))))
(pow.f64 b 4)
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (pow.f64 b 4))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))))))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))))))

Outputs
(*.f64 3 (pow.f64 b 2))
(.f64 3 (.f64 b b))
(*.f64 3 (pow.f64 b 2))
(.f64 3 (.f64 b b))
(*.f64 3 (pow.f64 b 2))
(.f64 3 (.f64 b b))
(*.f64 3 (pow.f64 b 2))
(.f64 3 (.f64 b b))
(*.f64 3 (pow.f64 b 2))
(.f64 3 (.f64 b b))
(*.f64 3 (pow.f64 b 2))
(.f64 3 (.f64 b b))
(*.f64 3 (pow.f64 b 2))
(.f64 3 (.f64 b b))
(*.f64 3 (pow.f64 b 2))
(.f64 3 (.f64 b b))
(*.f64 3 (pow.f64 b 2))
(.f64 3 (.f64 b b))
(*.f64 3 (pow.f64 b 2))
(.f64 3 (.f64 b b))
(*.f64 3 (pow.f64 b 2))
(.f64 3 (.f64 b b))
(*.f64 3 (pow.f64 b 2))
(.f64 3 (.f64 b b))
(+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4))
(fma.f64 12 (*.f64 b b) (pow.f64 b 4))
(fma.f64 (*.f64 b b) 12 (pow.f64 b 4))
(.f64 (.f64 b b) (fma.f64 b b 12))
(.f64 b (.f64 b (fma.f64 b b 12)))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4)))
(fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (fma.f64 12 (*.f64 b b) (pow.f64 b 4)))
(fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (fma.f64 (*.f64 b b) 12 (pow.f64 b 4)))
(fma.f64 b (.f64 b 12) (fma.f64 (fma.f64 2 (.f64 b b) 4) (*.f64 a a) (pow.f64 b 4)))
(fma.f64 b (.f64 b 12) (fma.f64 (fma.f64 b (.f64 b 2) 4) (*.f64 a a) (pow.f64 b 4)))
(fma.f64 (fma.f64 b (.f64 b 2) 4) (.f64 a a) (.f64 b (.f64 b (fma.f64 b b 12))))
(+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 12 (pow.f64 b 2)) (pow.f64 b 4))))
(fma.f64 -4 (pow.f64 a 3) (fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (fma.f64 12 (*.f64 b b) (pow.f64 b 4))))
(fma.f64 -4 (pow.f64 a 3) (fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (fma.f64 (*.f64 b b) 12 (pow.f64 b 4))))
(fma.f64 (.f64 b b) (fma.f64 b b 12) (.f64 (.f64 a a) (+.f64 (.f64 a -4) (fma.f64 2 (*.f64 b b) 4))))
(fma.f64 b (.f64 b (fma.f64 2 (.f64 a a) 12)) (fma.f64 4 (-.f64 (*.f64 a a) (pow.f64 a 3)) (pow.f64 b 4)))
(fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) 12) (fma.f64 (.f64 a a) (+.f64 4 (.f64 a -4)) (pow.f64 b 4)))
(+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))))
(fma.f64 -4 (pow.f64 a 3) (fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (fma.f64 12 (*.f64 b b) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))))
(fma.f64 -4 (pow.f64 a 3) (+.f64 (fma.f64 (.f64 b b) 12 (pow.f64 a 4)) (fma.f64 (fma.f64 2 (.f64 b b) 4) (*.f64 a a) (pow.f64 b 4))))
(fma.f64 b (.f64 b 12) (fma.f64 -4 (pow.f64 a 3) (fma.f64 (.f64 a a) (fma.f64 a a (fma.f64 2 (*.f64 b b) 4)) (pow.f64 b 4))))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) 12)) (.f64 a (.f64 a (+.f64 4 (*.f64 a (+.f64 a -4))))))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) 12)) (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))))
(pow.f64 a 4)
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4))
(*.f64 (pow.f64 a 3) (+.f64 -4 a))
(*.f64 (pow.f64 a 3) (+.f64 a -4))
(+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 (+.f64 (*.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (pow.f64 a 4)))
(fma.f64 -4 (pow.f64 a 3) (fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (pow.f64 a 4)))
(.f64 (.f64 a a) (+.f64 (.f64 a -4) (fma.f64 a a (fma.f64 2 (.f64 b b) 4))))
(.f64 (.f64 a a) (+.f64 (fma.f64 b (.f64 b 2) 4) (.f64 a (+.f64 a -4))))
(+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))))
(fma.f64 -4 (pow.f64 a 3) (fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (fma.f64 12 (*.f64 b b) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))))
(fma.f64 -4 (pow.f64 a 3) (+.f64 (fma.f64 (.f64 b b) 12 (pow.f64 a 4)) (fma.f64 (fma.f64 2 (.f64 b b) 4) (*.f64 a a) (pow.f64 b 4))))
(fma.f64 b (.f64 b 12) (fma.f64 -4 (pow.f64 a 3) (fma.f64 (.f64 a a) (fma.f64 a a (fma.f64 2 (*.f64 b b) 4)) (pow.f64 b 4))))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) 12)) (.f64 a (.f64 a (+.f64 4 (*.f64 a (+.f64 a -4))))))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) 12)) (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))))
(pow.f64 a 4)
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4))
(*.f64 (pow.f64 a 3) (+.f64 -4 a))
(*.f64 (pow.f64 a 3) (+.f64 a -4))
(+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 (+.f64 (*.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (pow.f64 a 4)))
(fma.f64 -4 (pow.f64 a 3) (fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (pow.f64 a 4)))
(.f64 (.f64 a a) (+.f64 (.f64 a -4) (fma.f64 a a (fma.f64 2 (.f64 b b) 4))))
(.f64 (.f64 a a) (+.f64 (fma.f64 b (.f64 b 2) 4) (.f64 a (+.f64 a -4))))
(+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))))
(fma.f64 -4 (pow.f64 a 3) (fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (fma.f64 12 (*.f64 b b) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))))
(fma.f64 -4 (pow.f64 a 3) (+.f64 (fma.f64 (.f64 b b) 12 (pow.f64 a 4)) (fma.f64 (fma.f64 2 (.f64 b b) 4) (*.f64 a a) (pow.f64 b 4))))
(fma.f64 b (.f64 b 12) (fma.f64 -4 (pow.f64 a 3) (fma.f64 (.f64 a a) (fma.f64 a a (fma.f64 2 (*.f64 b b) 4)) (pow.f64 b 4))))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) 12)) (.f64 a (.f64 a (+.f64 4 (*.f64 a (+.f64 a -4))))))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) 12)) (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))))
(+.f64 (pow.f64 a 4) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))))
(+.f64 (pow.f64 a 4) (.f64 4 (.f64 (*.f64 a a) (-.f64 1 a))))
(fma.f64 4 (.f64 a (.f64 a (-.f64 1 a))) (pow.f64 a 4))
(fma.f64 4 (.f64 (.f64 a a) (-.f64 1 a)) (pow.f64 a 4))
(.f64 a (.f64 a (+.f64 4 (*.f64 a (+.f64 a -4)))))
(.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4))))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (+.f64 (pow.f64 a 4) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a)))))
(fma.f64 (.f64 b b) (+.f64 12 (.f64 2 (.f64 a a))) (+.f64 (pow.f64 a 4) (.f64 4 (.f64 (.f64 a a) (-.f64 1 a)))))
(fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) 12) (fma.f64 4 (.f64 a (.f64 a (-.f64 1 a))) (pow.f64 a 4)))
(fma.f64 b (.f64 b (fma.f64 2 (.f64 a a) 12)) (fma.f64 4 (.f64 (.f64 a a) (-.f64 1 a)) (pow.f64 a 4)))
(fma.f64 b (.f64 b (fma.f64 2 (.f64 a a) 12)) (.f64 a (.f64 a (+.f64 4 (*.f64 a (+.f64 a -4))))))
(fma.f64 b (.f64 b (fma.f64 2 (.f64 a a) 12)) (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))))))
(fma.f64 -4 (pow.f64 a 3) (fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (fma.f64 12 (*.f64 b b) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))))
(fma.f64 -4 (pow.f64 a 3) (+.f64 (fma.f64 (.f64 b b) 12 (pow.f64 a 4)) (fma.f64 (fma.f64 2 (.f64 b b) 4) (*.f64 a a) (pow.f64 b 4))))
(fma.f64 b (.f64 b 12) (fma.f64 -4 (pow.f64 a 3) (fma.f64 (.f64 a a) (fma.f64 a a (fma.f64 2 (*.f64 b b) 4)) (pow.f64 b 4))))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) 12)) (.f64 a (.f64 a (+.f64 4 (*.f64 a (+.f64 a -4))))))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) 12)) (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))))))
(fma.f64 -4 (pow.f64 a 3) (fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (fma.f64 12 (*.f64 b b) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))))
(fma.f64 -4 (pow.f64 a 3) (+.f64 (fma.f64 (.f64 b b) 12 (pow.f64 a 4)) (fma.f64 (fma.f64 2 (.f64 b b) 4) (*.f64 a a) (pow.f64 b 4))))
(fma.f64 b (.f64 b 12) (fma.f64 -4 (pow.f64 a 3) (fma.f64 (.f64 a a) (fma.f64 a a (fma.f64 2 (*.f64 b b) 4)) (pow.f64 b 4))))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) 12)) (.f64 a (.f64 a (+.f64 4 (*.f64 a (+.f64 a -4))))))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) 12)) (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))))
(pow.f64 b 4)
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (pow.f64 b 4))
(fma.f64 (.f64 b b) (+.f64 12 (.f64 2 (*.f64 a a))) (pow.f64 b 4))
(fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) 12) (pow.f64 b 4))
(.f64 b (.f64 b (fma.f64 b b (fma.f64 2 (*.f64 a a) 12))))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))))))
(fma.f64 -4 (pow.f64 a 3) (fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (fma.f64 12 (*.f64 b b) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))))
(fma.f64 -4 (pow.f64 a 3) (+.f64 (fma.f64 (.f64 b b) 12 (pow.f64 a 4)) (fma.f64 (fma.f64 2 (.f64 b b) 4) (*.f64 a a) (pow.f64 b 4))))
(fma.f64 b (.f64 b 12) (fma.f64 -4 (pow.f64 a 3) (fma.f64 (.f64 a a) (fma.f64 a a (fma.f64 2 (*.f64 b b) 4)) (pow.f64 b 4))))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) 12)) (.f64 a (.f64 a (+.f64 4 (*.f64 a (+.f64 a -4))))))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) 12)) (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))))))
(fma.f64 -4 (pow.f64 a 3) (fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (fma.f64 12 (*.f64 b b) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))))
(fma.f64 -4 (pow.f64 a 3) (+.f64 (fma.f64 (.f64 b b) 12 (pow.f64 a 4)) (fma.f64 (fma.f64 2 (.f64 b b) 4) (*.f64 a a) (pow.f64 b 4))))
(fma.f64 b (.f64 b 12) (fma.f64 -4 (pow.f64 a 3) (fma.f64 (.f64 a a) (fma.f64 a a (fma.f64 2 (*.f64 b b) 4)) (pow.f64 b 4))))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) 12)) (.f64 a (.f64 a (+.f64 4 (*.f64 a (+.f64 a -4))))))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) 12)) (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))))
(pow.f64 b 4)
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (pow.f64 b 4))
(fma.f64 (.f64 b b) (+.f64 12 (.f64 2 (*.f64 a a))) (pow.f64 b 4))
(fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) 12) (pow.f64 b 4))
(.f64 b (.f64 b (fma.f64 b b (fma.f64 2 (*.f64 a a) 12))))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))))))
(fma.f64 -4 (pow.f64 a 3) (fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (fma.f64 12 (*.f64 b b) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))))
(fma.f64 -4 (pow.f64 a 3) (+.f64 (fma.f64 (.f64 b b) 12 (pow.f64 a 4)) (fma.f64 (fma.f64 2 (.f64 b b) 4) (*.f64 a a) (pow.f64 b 4))))
(fma.f64 b (.f64 b 12) (fma.f64 -4 (pow.f64 a 3) (fma.f64 (.f64 a a) (fma.f64 a a (fma.f64 2 (*.f64 b b) 4)) (pow.f64 b 4))))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) 12)) (.f64 a (.f64 a (+.f64 4 (*.f64 a (+.f64 a -4))))))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) 12)) (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))))))
(fma.f64 -4 (pow.f64 a 3) (fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (fma.f64 12 (*.f64 b b) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))))
(fma.f64 -4 (pow.f64 a 3) (+.f64 (fma.f64 (.f64 b b) 12 (pow.f64 a 4)) (fma.f64 (fma.f64 2 (.f64 b b) 4) (*.f64 a a) (pow.f64 b 4))))
(fma.f64 b (.f64 b 12) (fma.f64 -4 (pow.f64 a 3) (fma.f64 (.f64 a a) (fma.f64 a a (fma.f64 2 (*.f64 b b) 4)) (pow.f64 b 4))))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) 12)) (.f64 a (.f64 a (+.f64 4 (*.f64 a (+.f64 a -4))))))
(fma.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (.f64 a a) 12)) (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))))

eval352.0ms (4.4%)

Compiler: Compiled 18771 to 11093 computations (40.9% saved)

prune106.0ms (1.3%)

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	649	13	662
Fresh	5	3	8
Picked	0	1	1
Done	2	2	4
Total	656	19	675

Error

Counts

675 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	13.2b	(-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (*.f64 2 a))))) 1)
✓	0.2b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 b (*.f64 b 3))))) 1)
	24.0b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 -4 a))) 1)
▶	53.1b	(pow.f64 a 4)
	51.9b	(.f64 (.f64 a a) (+.f64 (fma.f64 b (.f64 b 2) 4) (.f64 a (+.f64 -4 a))))
	13.4b	(-.f64 (+.f64 0 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4)))) 1)
	11.7b	(-.f64 (+.f64 (pow.f64 b 4) (.f64 12 (.f64 b b))) 1)
	13.1b	(-.f64 (pow.f64 b 4) 1)
	52.2b	(*.f64 (pow.f64 a 3) (+.f64 -4 a))
	13.3b	(-.f64 (+.f64 (.f64 a (.f64 a 4)) (*.f64 (+.f64 a -4) (pow.f64 a 3))) 1)
▶	11.8b	(-.f64 (.f64 b (.f64 b (fma.f64 b b 12))) 1)
	2.2b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 a a) (.f64 b (.f64 b 3))))) 1)
▶	23.8b	(-.f64 (.f64 4 (.f64 a a)) 1)
	11.8b	(-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1)
✓	13.4b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
✓	50.7b	(pow.f64 b 4)
▶	2.1b	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (+.f64 (.f64 (+.f64 a 3) (.f64 b b)) (*.f64 a a)) -1))
▶	13.3b	(-.f64 (fma.f64 (.f64 (.f64 a a) (+.f64 a -4)) a (.f64 a (.f64 a 4))) 1)
	15.3b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)

Compiler

Compiled 521 to 368 computations (29.4% saved)

localize28.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(hypot.f64 a b)
	0.0b	(pow.f64 (hypot.f64 a b) 4)
	0.0b	(+.f64 (.f64 (+.f64 a 3) (.f64 b b)) (*.f64 a a))
	0.0b	(fma.f64 4 (+.f64 (.f64 (+.f64 a 3) (.f64 b b)) (*.f64 a a)) -1)
✓	0.0b	(pow.f64 (hypot.f64 a b) 4)
✓	0.0b	(hypot.f64 a b)
✓	0.0b	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (+.f64 (.f64 (+.f64 a 3) (.f64 b b)) (*.f64 a a)) -1))
	0.5b	(.f64 (+.f64 a 3) (.f64 b b))

Compiler

Compiled 76 to 36 computations (52.6% saved)

series12.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	a	@	inf	(hypot.f64 a b)
1.0ms	a	@	0	(pow.f64 (hypot.f64 a b) 4)
1.0ms	a	@	0	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (+.f64 (.f64 (+.f64 a 3) (.f64 b b)) (*.f64 a a)) -1))
1.0ms	a	@	inf	(pow.f64 (hypot.f64 a b) 4)
1.0ms	a	@	inf	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (+.f64 (.f64 (+.f64 a 3) (.f64 b b)) (*.f64 a a)) -1))

rewrite74.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

709×	`log-prod_binary64`
619×	`fma-def_binary64`
352×	`fma-neg_binary64`
279×	`expm1-udef_binary64`
279×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	38
1	333	38
2	4425	38

Stop Event

1×	node limit

Counts

3 → 95

Calls

Call 1

Inputs
(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (+.f64 (.f64 (+.f64 a 3) (.f64 b b)) (*.f64 a a)) -1))
(hypot.f64 a b)
(pow.f64 (hypot.f64 a b) 4)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a a (*.f64 (+.f64 a 3) (*.f64 b b))) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (hypot.f64 a b) 8) (-.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a a (*.f64 (+.f64 a 3) (*.f64 b b))) -1))) (/.f64 (pow.f64 (fma.f64 4 (fma.f64 a a (*.f64 (+.f64 a 3) (*.f64 b b))) -1) 2) (-.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a a (*.f64 (+.f64 a 3) (*.f64 b b))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a a (*.f64 (+.f64 a 3) (*.f64 b b))) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a a (*.f64 (+.f64 a 3) (*.f64 b b))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a a (*.f64 (+.f64 a 3) (*.f64 b b))) -1))) (pow.f64 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(pow.f64 (hypot.f64 a b) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (hypot.f64 a b) 8) (pow.f64 (fma.f64 4 (fma.f64 a a (*.f64 (+.f64 a 3) (*.f64 b b))) -1) 2)) (/.f64 1 (-.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a a (*.f64 (+.f64 a 3) (*.f64 b b))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (fma.f64 4 (fma.f64 a a (*.f64 (+.f64 a 3) (*.f64 b b))) -1) (-.f64 (fma.f64 4 (fma.f64 a a (*.f64 (+.f64 a 3) (*.f64 b b))) -1) (pow.f64 (hypot.f64 a b) 4)) (pow.f64 (hypot.f64 a b) 8)) (+.f64 (pow.f64 (hypot.f64 a b) 12) (pow.f64 (fma.f64 4 (fma.f64 a a (*.f64 (+.f64 a 3) (*.f64 b b))) -1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a a (*.f64 (+.f64 a 3) (*.f64 b b))) -1)) (-.f64 (pow.f64 (hypot.f64 a b) 8) (pow.f64 (fma.f64 4 (fma.f64 a a (*.f64 (+.f64 a 3) (*.f64 b b))) -1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a a (*.f64 (+.f64 a 3) (*.f64 b b))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 4 (fma.f64 a a (*.f64 (+.f64 a 3) (*.f64 b b))) -1) (pow.f64 (hypot.f64 a b) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 4 (fma.f64 a a (*.f64 (+.f64 a 3) (*.f64 b b)))) (+.f64 -1 (pow.f64 (hypot.f64 a b) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 a b) 4)) (cbrt.f64 (pow.f64 (hypot.f64 a b) 8)) (fma.f64 4 (fma.f64 a a (*.f64 (+.f64 a 3) (*.f64 b b))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 a b) 8)) (cbrt.f64 (pow.f64 (hypot.f64 a b) 4)) (fma.f64 4 (fma.f64 a a (*.f64 (+.f64 a 3) (*.f64 b b))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 4 (fma.f64 a a (*.f64 (+.f64 a 3) (*.f64 b b))) -1)) (pow.f64 (cbrt.f64 (fma.f64 4 (fma.f64 a a (*.f64 (+.f64 a 3) 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(hypot.f64 a b) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a a (*.f64 (+.f64 a 3) (*.f64 b b))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a a (*.f64 (+.f64 a 3) (*.f64 b b))) -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a a (*.f64 (+.f64 a 3) (*.f64 b b))) -1))))))))

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (hypot.f64 a b) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 a b) 4))) (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 a b) 4))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 a b) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 a b) 4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 a b) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 a b) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 a b) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (hypot.f64 a b) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 a b) 4)) (cbrt.f64 (pow.f64 (hypot.f64 a b) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 a b) 8)) (cbrt.f64 (pow.f64 (hypot.f64 a b) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 a b) 2) (pow.f64 (hypot.f64 a b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 a b)) 2) 4) (pow.f64 (cbrt.f64 (hypot.f64 a b)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (hypot.f64 a b)) 4) (pow.f64 (sqrt.f64 (hypot.f64 a b)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (hypot.f64 a b) 8))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (hypot.f64 a b) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 a b) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 a b) 12))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 a b) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (hypot.f64 a b) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 a b) 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 a b) 4)))))))

simplify54.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

636×	`associate-l_binary64`
631×	`associate-r_binary64`
390×	`times-frac_binary64`
328×	`associate-/r*_binary64`
324×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	213	1908
1	736	1806
2	2585	1708

Stop Event

1×	node limit

Counts

167 → 169

Calls

Call 1

Inputs
(-.f64 (+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4)) 1)
(-.f64 (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 b 4))) 1)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 b 4)))) 1)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4))))) 1)
(pow.f64 a 4)
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (pow.f64 a 4))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 4 (.f64 a (pow.f64 b 2))) (pow.f64 a 4)))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 b 4)) (+.f64 (.f64 1/2 (pow.f64 b 4)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (pow.f64 b 4) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 a 4))))))) 1)
(pow.f64 a 4)
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (pow.f64 a 4))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 4 (.f64 a (pow.f64 b 2))) (pow.f64 a 4)))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 b 4)) (+.f64 (.f64 1/2 (pow.f64 b 4)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (pow.f64 b 4) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 a 4))))))) 1)
(-.f64 (+.f64 (*.f64 4 (pow.f64 a 2)) (pow.f64 a 4)) 1)
(-.f64 (+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (pow.f64 a 4))) 1)
(-.f64 (+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))) 1)
(-.f64 (+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (.f64 (+.f64 (.f64 5/64 (/.f64 1 (pow.f64 a 6))) (.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a 3)) 2) (.f64 1/16 (/.f64 1 (pow.f64 a 6)))))) (pow.f64 b 8)))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))) 1)
(pow.f64 b 4)
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (*.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (pow.f64 b 4))
(-.f64 (+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 1/2 (pow.f64 a 4)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 -1/2 (pow.f64 a 4)) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))))) 1)
(-.f64 (+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (.f64 1/2 (pow.f64 a 4)) (+.f64 (.f64 -1/2 (pow.f64 a 4)) (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a 4)) (.f64 1/4 (pow.f64 a 4))) (pow.f64 a 2)) (pow.f64 b 2))))))))))) 1)
(pow.f64 b 4)
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (*.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (pow.f64 b 4))
(-.f64 (+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 1/2 (pow.f64 a 4)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 -1/2 (pow.f64 a 4)) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))))) 1)
(-.f64 (+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (.f64 1/2 (pow.f64 a 4)) (+.f64 (.f64 -1/2 (pow.f64 a 4)) (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a 4)) (.f64 1/4 (pow.f64 a 4))) (pow.f64 a 2)) (pow.f64 b 2))))))))))) 1)
b
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) b)) b)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) b)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 4) (pow.f64 b 3))) b))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) b)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 a 6) (pow.f64 b 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 4) (pow.f64 b 3))) b)))
a
(+.f64 a (*.f64 1/2 (/.f64 (pow.f64 b 2) a)))
(+.f64 a (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) a)) (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3)))))
(+.f64 a (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) a)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))) (*.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 5))))))
(*.f64 -1 a)
(+.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 1/2 (/.f64 (pow.f64 b 2) a)) (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3)))))
(+.f64 a (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) a)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))) (*.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 5))))))
b
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) b)) b)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) b)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 4) (pow.f64 b 3))) b))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) b)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 a 6) (pow.f64 b 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 4) (pow.f64 b 3))) b)))
(*.f64 -1 b)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 a 2) b)) (.f64 -1 b))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 a 4) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 a 2) b)) (*.f64 -1 b)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 a 4) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 a 2) b)) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 a 6) (pow.f64 b 5))) (.f64 -1 b))))
(pow.f64 b 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 b 3)) 2) (.f64 1/16 (/.f64 1 (pow.f64 b 6))))) (.f64 5/64 (/.f64 1 (pow.f64 b 6)))) (.f64 (pow.f64 a 8) (pow.f64 b 2)))) (+.f64 (pow.f64 a 4) (pow.f64 b 4))))
(pow.f64 a 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 a 4))
(+.f64 (.f64 -1/2 (pow.f64 b 4)) (+.f64 (.f64 1/2 (pow.f64 b 4)) (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))))
(+.f64 (.f64 -1/2 (pow.f64 b 4)) (+.f64 (.f64 1/2 (pow.f64 b 4)) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 b 6) (pow.f64 a 2))) (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (+.f64 (.f64 1/4 (/.f64 (pow.f64 b 6) (pow.f64 a 2))) (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 b 4)) (.f64 1/4 (pow.f64 b 4))) (pow.f64 b 2)) (pow.f64 a 2))))))))))
(pow.f64 a 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 a 4))
(+.f64 (.f64 -1/2 (pow.f64 b 4)) (+.f64 (.f64 1/2 (pow.f64 b 4)) (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))))
(+.f64 (.f64 -1/2 (pow.f64 b 4)) (+.f64 (.f64 1/2 (pow.f64 b 4)) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 b 6) (pow.f64 a 2))) (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (+.f64 (.f64 1/4 (/.f64 (pow.f64 b 6) (pow.f64 a 2))) (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 b 4)) (.f64 1/4 (pow.f64 b 4))) (pow.f64 b 2)) (pow.f64 a 2))))))))))
(pow.f64 a 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 a 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 8) (+.f64 (.f64 -1 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 a 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a 3)) 2))) (.f64 5/64 (/.f64 1 (pow.f64 a 6))))))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))
(pow.f64 b 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))
(+.f64 (.f64 1/2 (pow.f64 a 4)) (+.f64 (.f64 -1/2 (pow.f64 a 4)) (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (.f64 1/2 (pow.f64 a 4)) (+.f64 (.f64 -1/2 (pow.f64 a 4)) (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a 4)) (.f64 1/4 (pow.f64 a 4))) (pow.f64 a 2)) (pow.f64 b 2))))))))))
(pow.f64 b 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))
(+.f64 (.f64 1/2 (pow.f64 a 4)) (+.f64 (.f64 -1/2 (pow.f64 a 4)) (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (.f64 1/2 (pow.f64 a 4)) (+.f64 (.f64 -1/2 (pow.f64 a 4)) (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a 4)) (.f64 1/4 (pow.f64 a 4))) (pow.f64 a 2)) (pow.f64 b 2))))))))))

Outputs
(-.f64 (+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4)) 1)
(+.f64 (fma.f64 12 (*.f64 b b) (pow.f64 b 4)) -1)
(fma.f64 (.f64 b b) (+.f64 (.f64 b b) 12) -1)
(-.f64 (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 b 4))) 1)
(+.f64 (fma.f64 12 (.f64 b b) (fma.f64 4 (.f64 (*.f64 b b) a) (pow.f64 b 4))) -1)
(+.f64 (.f64 (.f64 b b) (+.f64 12 (*.f64 4 a))) (+.f64 (pow.f64 b 4) -1))
(+.f64 (+.f64 (pow.f64 b 4) (.f64 4 (.f64 (+.f64 a 3) (*.f64 b b)))) -1)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 b 4)))) 1)
(+.f64 (fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (fma.f64 12 (.f64 b b) (fma.f64 4 (.f64 (*.f64 b b) a) (pow.f64 b 4)))) -1)
(fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (+.f64 (.f64 (.f64 b b) (+.f64 12 (*.f64 4 a))) (+.f64 (pow.f64 b 4) -1)))
(+.f64 (+.f64 (pow.f64 b 4) (.f64 4 (.f64 (+.f64 a 3) (.f64 b b)))) (fma.f64 (fma.f64 2 (.f64 b b) 4) (*.f64 a a) -1))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4))))) 1)
(+.f64 (fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (+.f64 (fma.f64 12 (.f64 b b) (pow.f64 b 4)) (fma.f64 4 (.f64 (*.f64 b b) a) (pow.f64 a 4)))) -1)
(fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (+.f64 (.f64 (.f64 b b) (+.f64 12 (*.f64 4 a))) (-.f64 (+.f64 (pow.f64 b 4) (pow.f64 a 4)) 1)))
(fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (+.f64 (+.f64 (pow.f64 b 4) (.f64 4 (.f64 (+.f64 a 3) (*.f64 b b)))) (+.f64 (pow.f64 a 4) -1)))
(pow.f64 a 4)
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (pow.f64 a 4))
(fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (pow.f64 a 4))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 4 (.f64 a (pow.f64 b 2))) (pow.f64 a 4)))
(fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (fma.f64 4 (.f64 (.f64 b b) a) (pow.f64 a 4)))
(fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (fma.f64 4 (.f64 b (.f64 b a)) (pow.f64 a 4)))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 b 4)) (+.f64 (.f64 1/2 (pow.f64 b 4)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (pow.f64 b 4) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 a 4))))))) 1)
(+.f64 (fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (+.f64 (fma.f64 12 (.f64 b b) (pow.f64 b 4)) (fma.f64 4 (.f64 (*.f64 b b) a) (pow.f64 a 4)))) -1)
(fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (+.f64 (.f64 (.f64 b b) (+.f64 12 (*.f64 4 a))) (-.f64 (+.f64 (pow.f64 b 4) (pow.f64 a 4)) 1)))
(fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (+.f64 (+.f64 (pow.f64 b 4) (.f64 4 (.f64 (+.f64 a 3) (*.f64 b b)))) (+.f64 (pow.f64 a 4) -1)))
(pow.f64 a 4)
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (pow.f64 a 4))
(fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (pow.f64 a 4))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 4 (.f64 a (pow.f64 b 2))) (pow.f64 a 4)))
(fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (fma.f64 4 (.f64 (.f64 b b) a) (pow.f64 a 4)))
(fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (fma.f64 4 (.f64 b (.f64 b a)) (pow.f64 a 4)))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 b 4)) (+.f64 (.f64 1/2 (pow.f64 b 4)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (pow.f64 b 4) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 a 4))))))) 1)
(+.f64 (fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (+.f64 (fma.f64 12 (.f64 b b) (pow.f64 b 4)) (fma.f64 4 (.f64 (*.f64 b b) a) (pow.f64 a 4)))) -1)
(fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (+.f64 (.f64 (.f64 b b) (+.f64 12 (*.f64 4 a))) (-.f64 (+.f64 (pow.f64 b 4) (pow.f64 a 4)) 1)))
(fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (+.f64 (+.f64 (pow.f64 b 4) (.f64 4 (.f64 (+.f64 a 3) (*.f64 b b)))) (+.f64 (pow.f64 a 4) -1)))
(-.f64 (+.f64 (*.f64 4 (pow.f64 a 2)) (pow.f64 a 4)) 1)
(+.f64 (fma.f64 4 (*.f64 a a) (pow.f64 a 4)) -1)
(+.f64 (pow.f64 a 4) (fma.f64 4 (*.f64 a a) -1))
(-.f64 (+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (pow.f64 a 4))) 1)
(+.f64 (fma.f64 4 (.f64 a a) (fma.f64 (fma.f64 2 (.f64 a a) (.f64 4 (+.f64 a 3))) (.f64 b b) (pow.f64 a 4))) -1)
(+.f64 (fma.f64 4 (.f64 a a) (fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 4 a))) (pow.f64 a 4))) -1)
(+.f64 (fma.f64 4 (.f64 a a) (pow.f64 a 4)) (fma.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 2 a)))) -1))
(-.f64 (+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))) 1)
(+.f64 (fma.f64 4 (.f64 a a) (+.f64 (fma.f64 (fma.f64 2 (.f64 a a) (.f64 4 (+.f64 a 3))) (.f64 b b) (pow.f64 b 4)) (pow.f64 a 4))) -1)
(+.f64 (+.f64 (fma.f64 4 (.f64 a a) (fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 4 a))) (pow.f64 a 4))) (pow.f64 b 4)) -1)
(+.f64 (fma.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 2 a)))) (pow.f64 b 4)) (+.f64 (pow.f64 a 4) (fma.f64 4 (.f64 a a) -1)))
(-.f64 (+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (.f64 (+.f64 (.f64 5/64 (/.f64 1 (pow.f64 a 6))) (.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a 3)) 2) (.f64 1/16 (/.f64 1 (pow.f64 a 6)))))) (pow.f64 b 8)))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))) 1)
(+.f64 (fma.f64 4 (.f64 a a) (fma.f64 (fma.f64 2 (.f64 a a) (.f64 4 (+.f64 a 3))) (.f64 b b) (fma.f64 2 (.f64 (.f64 a a) (*.f64 (pow.f64 b 8) (fma.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a 3)) 2) (/.f64 1/16 (pow.f64 a 6))) (/.f64 5/64 (pow.f64 a 6))))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))) -1)
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(fma.f64 4 (.f64 a a) (+.f64 (fma.f64 2 (.f64 a (.f64 (-.f64 (.f64 (/.f64 1 (pow.f64 a 6)) 1/64) (pow.f64 (/.f64 -1/8 (pow.f64 a 3)) 2)) (.f64 a (pow.f64 b 8)))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (fma.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 2 a)))) -1)))
(pow.f64 b 4)
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (*.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (pow.f64 b 4))
(fma.f64 (fma.f64 2 (.f64 a a) (.f64 4 (+.f64 a 3))) (*.f64 b b) (pow.f64 b 4))
(fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) (+.f64 12 (*.f64 4 a))) (pow.f64 b 4))
(fma.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (*.f64 2 a)))) (pow.f64 b 4))
(-.f64 (+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 1/2 (pow.f64 a 4)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 -1/2 (pow.f64 a 4)) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))))) 1)
(+.f64 (fma.f64 4 (.f64 a a) (+.f64 (fma.f64 (fma.f64 2 (.f64 a a) (.f64 4 (+.f64 a 3))) (.f64 b b) (pow.f64 b 4)) (pow.f64 a 4))) -1)
(+.f64 (+.f64 (fma.f64 4 (.f64 a a) (fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 4 a))) (pow.f64 a 4))) (pow.f64 b 4)) -1)
(+.f64 (fma.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 2 a)))) (pow.f64 b 4)) (+.f64 (pow.f64 a 4) (fma.f64 4 (.f64 a a) -1)))
(-.f64 (+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (.f64 1/2 (pow.f64 a 4)) (+.f64 (.f64 -1/2 (pow.f64 a 4)) (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a 4)) (.f64 1/4 (pow.f64 a 4))) (pow.f64 a 2)) (pow.f64 b 2))))))))))) 1)
(+.f64 (fma.f64 4 (.f64 a a) (+.f64 (fma.f64 (fma.f64 2 (.f64 a a) (.f64 4 (+.f64 a 3))) (.f64 b b) (pow.f64 b 4)) (pow.f64 a 4))) -1)
(+.f64 (+.f64 (fma.f64 4 (.f64 a a) (fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 4 a))) (pow.f64 a 4))) (pow.f64 b 4)) -1)
(+.f64 (fma.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 2 a)))) (pow.f64 b 4)) (+.f64 (pow.f64 a 4) (fma.f64 4 (.f64 a a) -1)))
(pow.f64 b 4)
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (*.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (pow.f64 b 4))
(fma.f64 (fma.f64 2 (.f64 a a) (.f64 4 (+.f64 a 3))) (*.f64 b b) (pow.f64 b 4))
(fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) (+.f64 12 (*.f64 4 a))) (pow.f64 b 4))
(fma.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (*.f64 2 a)))) (pow.f64 b 4))
(-.f64 (+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 1/2 (pow.f64 a 4)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 -1/2 (pow.f64 a 4)) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))))) 1)
(+.f64 (fma.f64 4 (.f64 a a) (+.f64 (fma.f64 (fma.f64 2 (.f64 a a) (.f64 4 (+.f64 a 3))) (.f64 b b) (pow.f64 b 4)) (pow.f64 a 4))) -1)
(+.f64 (+.f64 (fma.f64 4 (.f64 a a) (fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 4 a))) (pow.f64 a 4))) (pow.f64 b 4)) -1)
(+.f64 (fma.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 2 a)))) (pow.f64 b 4)) (+.f64 (pow.f64 a 4) (fma.f64 4 (.f64 a a) -1)))
(-.f64 (+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (.f64 1/2 (pow.f64 a 4)) (+.f64 (.f64 -1/2 (pow.f64 a 4)) (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a 4)) (.f64 1/4 (pow.f64 a 4))) (pow.f64 a 2)) (pow.f64 b 2))))))))))) 1)
(+.f64 (fma.f64 4 (.f64 a a) (+.f64 (fma.f64 (fma.f64 2 (.f64 a a) (.f64 4 (+.f64 a 3))) (.f64 b b) (pow.f64 b 4)) (pow.f64 a 4))) -1)
(+.f64 (+.f64 (fma.f64 4 (.f64 a a) (fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 4 a))) (pow.f64 a 4))) (pow.f64 b 4)) -1)
(+.f64 (fma.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 2 a)))) (pow.f64 b 4)) (+.f64 (pow.f64 a 4) (fma.f64 4 (.f64 a a) -1)))
b
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) b)) b)
(fma.f64 1/2 (/.f64 (*.f64 a a) b) b)
(fma.f64 1/2 (/.f64 a (/.f64 b a)) b)
(fma.f64 1/2 (*.f64 (/.f64 a b) a) b)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) b)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 4) (pow.f64 b 3))) b))
(fma.f64 1/2 (/.f64 (*.f64 a a) b) (fma.f64 -1/8 (/.f64 (pow.f64 a 4) (pow.f64 b 3)) b))
(fma.f64 1/2 (/.f64 a (/.f64 b a)) (fma.f64 -1/8 (/.f64 (pow.f64 a 4) (pow.f64 b 3)) b))
(fma.f64 1/2 (*.f64 (/.f64 a b) a) (fma.f64 -1/8 (/.f64 (pow.f64 a 4) (pow.f64 b 3)) b))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) b)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 a 6) (pow.f64 b 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 4) (pow.f64 b 3))) b)))
(fma.f64 1/2 (/.f64 (*.f64 a a) b) (fma.f64 1/16 (/.f64 (pow.f64 a 6) (pow.f64 b 5)) (fma.f64 -1/8 (/.f64 (pow.f64 a 4) (pow.f64 b 3)) b)))
(fma.f64 1/2 (/.f64 a (/.f64 b a)) (fma.f64 1/16 (/.f64 (pow.f64 a 6) (pow.f64 b 5)) (fma.f64 -1/8 (/.f64 (pow.f64 a 4) (pow.f64 b 3)) b)))
(fma.f64 1/2 (*.f64 (/.f64 a b) a) (fma.f64 1/16 (/.f64 (pow.f64 a 6) (pow.f64 b 5)) (fma.f64 -1/8 (/.f64 (pow.f64 a 4) (pow.f64 b 3)) b)))
a
(+.f64 a (*.f64 1/2 (/.f64 (pow.f64 b 2) a)))
(+.f64 a (/.f64 (.f64 1/2 (.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 1/2 (/.f64 (pow.f64 b 2) a)) (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3)))))
(+.f64 a (fma.f64 1/2 (/.f64 (.f64 b b) a) (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3)))))
(+.f64 (fma.f64 1/2 (/.f64 b (/.f64 a b)) a) (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))))
(+.f64 (fma.f64 1/2 (.f64 (/.f64 b a) b) a) (.f64 (/.f64 -1/8 (pow.f64 a 3)) (pow.f64 b 4)))
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(+.f64 a (fma.f64 1/2 (/.f64 b (/.f64 a b)) (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 (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 -1/2 (/.f64 b (/.f64 a b))) 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)))
(fma.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) 1/8 (-.f64 (*.f64 -1/2 (/.f64 b (/.f64 a b))) a))
(fma.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) 1/8 (-.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 (.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 a 5) (pow.f64 b 6)))) 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 a 5) (pow.f64 b 6)))) a))
a
(+.f64 a (*.f64 1/2 (/.f64 (pow.f64 b 2) a)))
(+.f64 a (/.f64 (.f64 1/2 (.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 1/2 (/.f64 (pow.f64 b 2) a)) (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3)))))
(+.f64 a (fma.f64 1/2 (/.f64 (.f64 b b) a) (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3)))))
(+.f64 (fma.f64 1/2 (/.f64 b (/.f64 a b)) a) (*.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))))
(+.f64 (fma.f64 1/2 (.f64 (/.f64 b a) b) a) (.f64 (/.f64 -1/8 (pow.f64 a 3)) (pow.f64 b 4)))
(+.f64 a (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) a)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))) (*.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 5))))))
(+.f64 a (fma.f64 1/2 (/.f64 (.f64 b 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 a (fma.f64 1/2 (/.f64 b (/.f64 a b)) (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 (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)))))
b
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) b)) b)
(fma.f64 1/2 (/.f64 (*.f64 a a) b) b)
(fma.f64 1/2 (/.f64 a (/.f64 b a)) b)
(fma.f64 1/2 (*.f64 (/.f64 a b) a) b)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) b)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 4) (pow.f64 b 3))) b))
(fma.f64 1/2 (/.f64 (*.f64 a a) b) (fma.f64 -1/8 (/.f64 (pow.f64 a 4) (pow.f64 b 3)) b))
(fma.f64 1/2 (/.f64 a (/.f64 b a)) (fma.f64 -1/8 (/.f64 (pow.f64 a 4) (pow.f64 b 3)) b))
(fma.f64 1/2 (*.f64 (/.f64 a b) a) (fma.f64 -1/8 (/.f64 (pow.f64 a 4) (pow.f64 b 3)) b))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) b)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 a 6) (pow.f64 b 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a 4) (pow.f64 b 3))) b)))
(fma.f64 1/2 (/.f64 (*.f64 a a) b) (fma.f64 1/16 (/.f64 (pow.f64 a 6) (pow.f64 b 5)) (fma.f64 -1/8 (/.f64 (pow.f64 a 4) (pow.f64 b 3)) b)))
(fma.f64 1/2 (/.f64 a (/.f64 b a)) (fma.f64 1/16 (/.f64 (pow.f64 a 6) (pow.f64 b 5)) (fma.f64 -1/8 (/.f64 (pow.f64 a 4) (pow.f64 b 3)) b)))
(fma.f64 1/2 (*.f64 (/.f64 a b) a) (fma.f64 1/16 (/.f64 (pow.f64 a 6) (pow.f64 b 5)) (fma.f64 -1/8 (/.f64 (pow.f64 a 4) (pow.f64 b 3)) b)))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 a 2) b)) (.f64 -1 b))
(fma.f64 -1/2 (/.f64 (*.f64 a a) b) (neg.f64 b))
(fma.f64 -1/2 (/.f64 a (/.f64 b a)) (neg.f64 b))
(fma.f64 -1/2 (*.f64 (/.f64 a b) a) (neg.f64 b))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 a 4) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 a 2) b)) (*.f64 -1 b)))
(fma.f64 1/8 (/.f64 (pow.f64 a 4) (pow.f64 b 3)) (fma.f64 -1/2 (/.f64 (*.f64 a a) b) (neg.f64 b)))
(fma.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 3)) 1/8 (fma.f64 -1/2 (/.f64 a (/.f64 b a)) (neg.f64 b)))
(-.f64 (fma.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 3)) 1/8 (.f64 -1/2 (.f64 (/.f64 a b) a))) b)
(+.f64 (.f64 1/8 (/.f64 (pow.f64 a 4) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 a 2) b)) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 a 6) (pow.f64 b 5))) (.f64 -1 b))))
(fma.f64 1/8 (/.f64 (pow.f64 a 4) (pow.f64 b 3)) (fma.f64 -1/2 (/.f64 (*.f64 a a) b) (fma.f64 -1/16 (/.f64 (pow.f64 a 6) (pow.f64 b 5)) (neg.f64 b))))
(fma.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 3)) 1/8 (fma.f64 -1/2 (/.f64 a (/.f64 b a)) (fma.f64 (/.f64 (pow.f64 a 6) (pow.f64 b 5)) -1/16 (neg.f64 b))))
(fma.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 3)) 1/8 (fma.f64 -1/2 (*.f64 (/.f64 a b) a) (fma.f64 (/.f64 (pow.f64 a 6) (pow.f64 b 5)) -1/16 (neg.f64 b))))
(pow.f64 b 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))
(fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 b 4))
(fma.f64 2 (.f64 a (.f64 b (*.f64 b a))) (pow.f64 b 4))
(fma.f64 2 (.f64 b (.f64 b (*.f64 a a))) (pow.f64 b 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))
(fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(+.f64 (pow.f64 b 4) (fma.f64 2 (.f64 a (.f64 b (*.f64 b a))) (pow.f64 a 4)))
(+.f64 (pow.f64 b 4) (fma.f64 2 (.f64 b (.f64 b (*.f64 a a))) (pow.f64 a 4)))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 b 3)) 2) (.f64 1/16 (/.f64 1 (pow.f64 b 6))))) (.f64 5/64 (/.f64 1 (pow.f64 b 6)))) (.f64 (pow.f64 a 8) (pow.f64 b 2)))) (+.f64 (pow.f64 a 4) (pow.f64 b 4))))
(fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (fma.f64 2 (.f64 (fma.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 b 3)) 2) (/.f64 1/16 (pow.f64 b 6))) (/.f64 5/64 (pow.f64 b 6))) (.f64 (.f64 b b) (pow.f64 a 8))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))
(+.f64 (fma.f64 2 (.f64 (.f64 b b) (.f64 (-.f64 (/.f64 5/64 (pow.f64 b 6)) (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 b 3)) 2) (/.f64 1/16 (pow.f64 b 6)))) (pow.f64 a 8))) (pow.f64 a 4)) (fma.f64 2 (.f64 a (.f64 b (.f64 b a))) (pow.f64 b 4)))
(+.f64 (+.f64 (pow.f64 b 4) (pow.f64 a 4)) (.f64 (.f64 2 (.f64 b b)) (+.f64 (.f64 a a) (.f64 (+.f64 (neg.f64 (pow.f64 (/.f64 -1/8 (pow.f64 b 3)) 2)) (.f64 (/.f64 1 (pow.f64 b 6)) 1/64)) (pow.f64 a 8)))))
(pow.f64 a 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 a 4))
(fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 a 4))
(fma.f64 2 (.f64 a (.f64 b (*.f64 b a))) (pow.f64 a 4))
(fma.f64 2 (.f64 b (.f64 b (*.f64 a a))) (pow.f64 a 4))
(+.f64 (.f64 -1/2 (pow.f64 b 4)) (+.f64 (.f64 1/2 (pow.f64 b 4)) (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))))
(fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(+.f64 (pow.f64 b 4) (fma.f64 2 (.f64 a (.f64 b (*.f64 b a))) (pow.f64 a 4)))
(+.f64 (pow.f64 b 4) (fma.f64 2 (.f64 b (.f64 b (*.f64 a a))) (pow.f64 a 4)))
(+.f64 (.f64 -1/2 (pow.f64 b 4)) (+.f64 (.f64 1/2 (pow.f64 b 4)) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 b 6) (pow.f64 a 2))) (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (+.f64 (.f64 1/4 (/.f64 (pow.f64 b 6) (pow.f64 a 2))) (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 b 4)) (.f64 1/4 (pow.f64 b 4))) (pow.f64 b 2)) (pow.f64 a 2))))))))))
(fma.f64 -1/2 (pow.f64 b 4) (fma.f64 1/2 (pow.f64 b 4) (fma.f64 -1/4 (/.f64 (pow.f64 b 6) (.f64 a a)) (+.f64 (fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (pow.f64 b 4)) (+.f64 (pow.f64 a 4) (fma.f64 1/4 (/.f64 (pow.f64 b 6) (.f64 a a)) (.f64 2 (/.f64 (.f64 (pow.f64 b 4) 0) (/.f64 (.f64 a a) (*.f64 b b))))))))))
(+.f64 (fma.f64 -1/4 (/.f64 (pow.f64 b 6) (.f64 a a)) (+.f64 (+.f64 (pow.f64 b 4) (fma.f64 2 (.f64 a (.f64 b (.f64 b a))) (pow.f64 a 4))) (fma.f64 1/4 (/.f64 (pow.f64 b 6) (.f64 a a)) (.f64 (/.f64 0 (.f64 a a)) (.f64 b b))))) 0)
(fma.f64 -1/4 (/.f64 (pow.f64 b 6) (.f64 a a)) (+.f64 (+.f64 (pow.f64 a 4) (.f64 1/4 (/.f64 (pow.f64 b 6) (.f64 a a)))) (fma.f64 2 (.f64 b (.f64 b (.f64 a a))) (pow.f64 b 4))))
(pow.f64 a 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 a 4))
(fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 a 4))
(fma.f64 2 (.f64 a (.f64 b (*.f64 b a))) (pow.f64 a 4))
(fma.f64 2 (.f64 b (.f64 b (*.f64 a a))) (pow.f64 a 4))
(+.f64 (.f64 -1/2 (pow.f64 b 4)) (+.f64 (.f64 1/2 (pow.f64 b 4)) (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))))
(fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(+.f64 (pow.f64 b 4) (fma.f64 2 (.f64 a (.f64 b (*.f64 b a))) (pow.f64 a 4)))
(+.f64 (pow.f64 b 4) (fma.f64 2 (.f64 b (.f64 b (*.f64 a a))) (pow.f64 a 4)))
(+.f64 (.f64 -1/2 (pow.f64 b 4)) (+.f64 (.f64 1/2 (pow.f64 b 4)) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 b 6) (pow.f64 a 2))) (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (+.f64 (.f64 1/4 (/.f64 (pow.f64 b 6) (pow.f64 a 2))) (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 b 4)) (.f64 1/4 (pow.f64 b 4))) (pow.f64 b 2)) (pow.f64 a 2))))))))))
(fma.f64 -1/2 (pow.f64 b 4) (fma.f64 1/2 (pow.f64 b 4) (fma.f64 -1/4 (/.f64 (pow.f64 b 6) (.f64 a a)) (+.f64 (fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (pow.f64 b 4)) (+.f64 (pow.f64 a 4) (fma.f64 1/4 (/.f64 (pow.f64 b 6) (.f64 a a)) (.f64 2 (/.f64 (.f64 (pow.f64 b 4) 0) (/.f64 (.f64 a a) (*.f64 b b))))))))))
(+.f64 (fma.f64 -1/4 (/.f64 (pow.f64 b 6) (.f64 a a)) (+.f64 (+.f64 (pow.f64 b 4) (fma.f64 2 (.f64 a (.f64 b (.f64 b a))) (pow.f64 a 4))) (fma.f64 1/4 (/.f64 (pow.f64 b 6) (.f64 a a)) (.f64 (/.f64 0 (.f64 a a)) (.f64 b b))))) 0)
(fma.f64 -1/4 (/.f64 (pow.f64 b 6) (.f64 a a)) (+.f64 (+.f64 (pow.f64 a 4) (.f64 1/4 (/.f64 (pow.f64 b 6) (.f64 a a)))) (fma.f64 2 (.f64 b (.f64 b (.f64 a a))) (pow.f64 b 4))))
(pow.f64 a 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 a 4))
(fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 a 4))
(fma.f64 2 (.f64 a (.f64 b (*.f64 b a))) (pow.f64 a 4))
(fma.f64 2 (.f64 b (.f64 b (*.f64 a a))) (pow.f64 a 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(+.f64 (pow.f64 b 4) (fma.f64 2 (.f64 a (.f64 b (*.f64 b a))) (pow.f64 a 4)))
(+.f64 (pow.f64 b 4) (fma.f64 2 (.f64 b (.f64 b (*.f64 a a))) (pow.f64 a 4)))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 8) (+.f64 (.f64 -1 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 a 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a 3)) 2))) (.f64 5/64 (/.f64 1 (pow.f64 a 6))))))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))
(fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (fma.f64 2 (.f64 (.f64 a a) (.f64 (pow.f64 b 8) (fma.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a 3)) 2) (/.f64 1/16 (pow.f64 a 6))) (/.f64 5/64 (pow.f64 a 6))))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))
(+.f64 (+.f64 (pow.f64 b 4) (pow.f64 a 4)) (.f64 (.f64 2 (.f64 a a)) (+.f64 (.f64 b b) (*.f64 (pow.f64 b 8) (-.f64 (/.f64 5/64 (pow.f64 a 6)) (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a 3)) 2) (/.f64 1/16 (pow.f64 a 6))))))))
(+.f64 (+.f64 (pow.f64 b 4) (pow.f64 a 4)) (.f64 (.f64 2 (.f64 a a)) (+.f64 (.f64 b b) (.f64 (pow.f64 b 8) (-.f64 (.f64 (/.f64 1 (pow.f64 a 6)) 1/64) (pow.f64 (/.f64 -1/8 (pow.f64 a 3)) 2))))))
(pow.f64 b 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))
(fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 b 4))
(fma.f64 2 (.f64 a (.f64 b (*.f64 b a))) (pow.f64 b 4))
(fma.f64 2 (.f64 b (.f64 b (*.f64 a a))) (pow.f64 b 4))
(+.f64 (.f64 1/2 (pow.f64 a 4)) (+.f64 (.f64 -1/2 (pow.f64 a 4)) (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))))
(fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(+.f64 (pow.f64 b 4) (fma.f64 2 (.f64 a (.f64 b (*.f64 b a))) (pow.f64 a 4)))
(+.f64 (pow.f64 b 4) (fma.f64 2 (.f64 b (.f64 b (*.f64 a a))) (pow.f64 a 4)))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (.f64 1/2 (pow.f64 a 4)) (+.f64 (.f64 -1/2 (pow.f64 a 4)) (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a 4)) (.f64 1/4 (pow.f64 a 4))) (pow.f64 a 2)) (pow.f64 b 2))))))))))
(fma.f64 1/4 (/.f64 (pow.f64 a 6) (.f64 b b)) (fma.f64 1/2 (pow.f64 a 4) (fma.f64 -1/2 (pow.f64 a 4) (fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (fma.f64 -1/4 (/.f64 (pow.f64 a 6) (.f64 b b)) (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (.f64 2 (/.f64 (.f64 (pow.f64 a 4) 0) (/.f64 (.f64 b b) (*.f64 a a)))))))))))
(fma.f64 (/.f64 (pow.f64 a 6) (.f64 b b)) 1/4 (+.f64 (fma.f64 2 (.f64 a (.f64 b (.f64 b a))) (+.f64 (+.f64 (pow.f64 b 4) (.f64 (/.f64 a (/.f64 b a)) (/.f64 0 b))) (fma.f64 -1/4 (/.f64 (pow.f64 a 6) (.f64 b b)) (pow.f64 a 4)))) 0))
(fma.f64 (/.f64 (pow.f64 a 6) (.f64 b b)) 1/4 (+.f64 (fma.f64 -1/4 (/.f64 (pow.f64 a 6) (.f64 b b)) (pow.f64 a 4)) (fma.f64 2 (.f64 b (.f64 b (*.f64 a a))) (pow.f64 b 4))))
(pow.f64 b 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))
(fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 b 4))
(fma.f64 2 (.f64 a (.f64 b (*.f64 b a))) (pow.f64 b 4))
(fma.f64 2 (.f64 b (.f64 b (*.f64 a a))) (pow.f64 b 4))
(+.f64 (.f64 1/2 (pow.f64 a 4)) (+.f64 (.f64 -1/2 (pow.f64 a 4)) (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))))
(fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(+.f64 (pow.f64 b 4) (fma.f64 2 (.f64 a (.f64 b (*.f64 b a))) (pow.f64 a 4)))
(+.f64 (pow.f64 b 4) (fma.f64 2 (.f64 b (.f64 b (*.f64 a a))) (pow.f64 a 4)))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (.f64 1/2 (pow.f64 a 4)) (+.f64 (.f64 -1/2 (pow.f64 a 4)) (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a 4)) (.f64 1/4 (pow.f64 a 4))) (pow.f64 a 2)) (pow.f64 b 2))))))))))
(fma.f64 1/4 (/.f64 (pow.f64 a 6) (.f64 b b)) (fma.f64 1/2 (pow.f64 a 4) (fma.f64 -1/2 (pow.f64 a 4) (fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (fma.f64 -1/4 (/.f64 (pow.f64 a 6) (.f64 b b)) (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (.f64 2 (/.f64 (.f64 (pow.f64 a 4) 0) (/.f64 (.f64 b b) (*.f64 a a)))))))))))
(fma.f64 (/.f64 (pow.f64 a 6) (.f64 b b)) 1/4 (+.f64 (fma.f64 2 (.f64 a (.f64 b (.f64 b a))) (+.f64 (+.f64 (pow.f64 b 4) (.f64 (/.f64 a (/.f64 b a)) (/.f64 0 b))) (fma.f64 -1/4 (/.f64 (pow.f64 a 6) (.f64 b b)) (pow.f64 a 4)))) 0))
(fma.f64 (/.f64 (pow.f64 a 6) (.f64 b b)) 1/4 (+.f64 (fma.f64 -1/4 (/.f64 (pow.f64 a 6) (.f64 b b)) (pow.f64 a 4)) (fma.f64 2 (.f64 b (.f64 b (*.f64 a a))) (pow.f64 b 4))))

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(.f64 4 (.f64 a a))
✓	0.0b	(.f64 4 (.f64 a a))

Compiler

Compiled 20 to 11 computations (45% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	a	@	inf	(.f64 4 (.f64 a a))
1.0ms	a	@	0	(.f64 4 (.f64 a a))
0.0ms	a	@	-inf	(.f64 4 (.f64 a a))

rewrite33.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

422×	`pow1_binary64`
408×	`add-sqr-sqrt_binary64`
401×	`*-un-lft-identity_binary64`
392×	`add-log-exp_binary64`
392×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	102	7
2	1126	7

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

Inputs
(.f64 4 (.f64 a a))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 4 (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (*.f64 a a))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4) (*.f64 a a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4) (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 4 (*.f64 a a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4 (*.f64 a a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 4 (*.f64 a a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 a 2)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 16 (pow.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 4 (*.f64 a a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 4 (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 4 (*.f64 a a))))))))

simplify136.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1105×	`sqr-pow_binary64`
618×	`cube-prod_binary64`
554×	`fabs-mul_binary64`
536×	`pow-sqr_binary64`
441×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	84
1	12	84
2	23	84
3	44	84
4	107	84
5	335	84
6	1216	84
7	2088	84
8	2252	84
9	2436	84
10	2644	84
11	2934	84
12	3327	84
13	3805	84
14	4366	84
15	5050	84
16	5887	84
17	6281	84
18	6569	84
19	6845	84
20	6921	84
21	6955	84
22	7896	84

Stop Event

1×	node limit

Counts

26 → 16

Calls

Call 1

Inputs
(*.f64 4 (pow.f64 a 2))
(*.f64 4 (pow.f64 a 2))
(*.f64 4 (pow.f64 a 2))
(*.f64 4 (pow.f64 a 2))
(*.f64 4 (pow.f64 a 2))
(*.f64 4 (pow.f64 a 2))
(*.f64 4 (pow.f64 a 2))
(*.f64 4 (pow.f64 a 2))
(*.f64 4 (pow.f64 a 2))
(*.f64 4 (pow.f64 a 2))
(*.f64 4 (pow.f64 a 2))
(*.f64 4 (pow.f64 a 2))

Outputs
(*.f64 4 (pow.f64 a 2))
(.f64 4 (.f64 a a))
(*.f64 4 (pow.f64 a 2))
(.f64 4 (.f64 a a))
(*.f64 4 (pow.f64 a 2))
(.f64 4 (.f64 a a))
(*.f64 4 (pow.f64 a 2))
(.f64 4 (.f64 a a))
(*.f64 4 (pow.f64 a 2))
(.f64 4 (.f64 a a))
(*.f64 4 (pow.f64 a 2))
(.f64 4 (.f64 a a))
(*.f64 4 (pow.f64 a 2))
(.f64 4 (.f64 a a))
(*.f64 4 (pow.f64 a 2))
(.f64 4 (.f64 a a))
(*.f64 4 (pow.f64 a 2))
(.f64 4 (.f64 a a))
(*.f64 4 (pow.f64 a 2))
(.f64 4 (.f64 a a))
(*.f64 4 (pow.f64 a 2))
(.f64 4 (.f64 a a))
(*.f64 4 (pow.f64 a 2))
(.f64 4 (.f64 a a))

localize3.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

localize15.0ms (0.2%)

Local error

Found 6 expressions with local error:

New	Error	Program
	0.1b	(.f64 b (.f64 b (fma.f64 b b 12)))
	0.1b	(*.f64 b (fma.f64 b b 12))
	0.0b	(-.f64 (.f64 b (.f64 b (fma.f64 b b 12))) 1)
✓	0.0b	(-.f64 (.f64 b (.f64 b (fma.f64 b b 12))) 1)
✓	0.1b	(*.f64 b (fma.f64 b b 12))
✓	0.1b	(.f64 b (.f64 b (fma.f64 b b 12)))

Compiler

Compiled 33 to 19 computations (42.4% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	b	@	0	(.f64 b (.f64 b (fma.f64 b b 12)))
1.0ms	b	@	inf	(.f64 b (.f64 b (fma.f64 b b 12)))
1.0ms	b	@	-inf	(.f64 b (.f64 b (fma.f64 b b 12)))
1.0ms	b	@	-inf	(*.f64 b (fma.f64 b b 12))
0.0ms	b	@	inf	(*.f64 b (fma.f64 b b 12))

rewrite54.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

778×	`pow1_binary64`
724×	`add-log-exp_binary64`
723×	`log1p-expm1-u_binary64`
723×	`expm1-log1p-u_binary64`
711×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	31
1	168	31
2	2018	31

Stop Event

1×	node limit

Counts

3 → 63

Calls

Call 1

Inputs
(.f64 b (.f64 b (fma.f64 b b 12)))
(*.f64 b (fma.f64 b b 12))
(-.f64 (.f64 b (.f64 b (fma.f64 b b 12))) 1)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 (*.f64 b b) (fma.f64 b b 12) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 b b) 12))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 12 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 b (*.f64 b (fma.f64 b b 12)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b (*.f64 b (fma.f64 b b 12))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 b (*.f64 b (fma.f64 b b 12)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b (sqrt.f64 (fma.f64 b b 12))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 b (*.f64 b (fma.f64 b b 12))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 b (*.f64 b (fma.f64 b b 12))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 b) (fma.f64 b b 12)) b))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 b (*.f64 b (fma.f64 b b 12))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 b (*.f64 b (fma.f64 b b 12)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 b (*.f64 b (fma.f64 b b 12)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 b (*.f64 b (fma.f64 b b 12)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 b 3) (*.f64 12 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 b 3) (*.f64 b 12))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 b (fma.f64 b b 12))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b (fma.f64 b b 12)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 b (fma.f64 b b 12)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 b (fma.f64 b b 12))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 b (fma.f64 b b 12))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 b (fma.f64 b b 12)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 b) (fma.f64 b b 12)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 b (fma.f64 b b 12)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b 12) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 b b 12) 3) (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 b (fma.f64 b b 12))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 b (fma.f64 b b 12))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 b (fma.f64 b b 12))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b (*.f64 b (fma.f64 b b 12))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (*.f64 b (*.f64 b (fma.f64 b b 12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (*.f64 b b) (fma.f64 b b 12) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 b b) (fma.f64 b b 12) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 b b) (fma.f64 b b 12) -1)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 b b) (fma.f64 b b 12) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 b b) (fma.f64 b b 12) -1)) 2) (cbrt.f64 (fma.f64 (*.f64 b b) (fma.f64 b b 12) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (*.f64 b b) (fma.f64 b b 12) -1)) (sqrt.f64 (fma.f64 (*.f64 b b) (fma.f64 b b 12) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 b (*.f64 b (fma.f64 b b 12))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (*.f64 b (*.f64 b (fma.f64 b b 12))) 2) (fma.f64 b (*.f64 b (fma.f64 b b 12)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 b (*.f64 b (fma.f64 b b 12))) 2) -1) (/.f64 1 (fma.f64 b (*.f64 b (fma.f64 b b 12)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 b (sqrt.f64 (fma.f64 b b 12))) 1) (-.f64 (*.f64 b (sqrt.f64 (fma.f64 b b 12))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 b (*.f64 b (fma.f64 b b 12))) 2) (fma.f64 b (*.f64 b (fma.f64 b b 12)) 1)) (+.f64 (pow.f64 (*.f64 b (*.f64 b (fma.f64 b b 12))) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 b (*.f64 b (fma.f64 b b 12)) 1) (+.f64 (pow.f64 (*.f64 b (*.f64 b (fma.f64 b b 12))) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 b (*.f64 b (fma.f64 b b 12))) 3) -1) (+.f64 (pow.f64 (*.f64 b (*.f64 b (fma.f64 b b 12))) 2) (fma.f64 b (*.f64 b (fma.f64 b b 12)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 b (*.f64 b (fma.f64 b b 12))) 3) -1) (+.f64 (pow.f64 (*.f64 b (*.f64 b (fma.f64 b b 12))) 2) (-.f64 1 (*.f64 (*.f64 b (*.f64 b (fma.f64 b b 12))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 b (*.f64 b (fma.f64 b b 12))) 2) -1) (fma.f64 b (*.f64 b (fma.f64 b b 12)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 b (*.f64 b (fma.f64 b b 12))) 2) -1) (-.f64 (*.f64 b (*.f64 b (fma.f64 b b 12))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 b (*.f64 b (fma.f64 b b 12))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (*.f64 b (*.f64 b (fma.f64 b b 12))) 2) (fma.f64 b (*.f64 b (fma.f64 b b 12)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 b (*.f64 b (fma.f64 b b 12))) 2) -1)) (neg.f64 (fma.f64 b (*.f64 b (fma.f64 b b 12)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (*.f64 b b) (fma.f64 b b 12) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 b b) (fma.f64 b b 12) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (*.f64 b b) (fma.f64 b b 12) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (*.f64 b b) (fma.f64 b b 12) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (*.f64 b b) (fma.f64 b b 12) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (*.f64 b b) (fma.f64 b b 12) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (*.f64 b b) (fma.f64 b b 12) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (*.f64 b (*.f64 b (fma.f64 b b 12)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b (*.f64 b (fma.f64 b b 12)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (fma.f64 b b 12)) b -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 b (*.f64 b (fma.f64 b b 12))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b b) (fma.f64 b b 12) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 b (*.f64 b (fma.f64 b b 12)))) 2) (cbrt.f64 (*.f64 b (*.f64 b (fma.f64 b b 12)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (sqrt.f64 (fma.f64 b b 12))) (*.f64 b (sqrt.f64 (fma.f64 b b 12))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (*.f64 b b) (fma.f64 b b 12) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (*.f64 b b) (fma.f64 b b 12) -1)))))))

simplify47.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

731×	`fma-neg_binary64`
635×	`distribute-rgt-out_binary64`
484×	`distribute-rgt-neg-in_binary64`
453×	`associate-l_binary64`
447×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	321
1	44	321
2	84	309
3	172	309
4	504	309
5	2368	309
6	5183	309

Stop Event

1×	node limit

Counts

99 → 76

Calls

Call 1

Inputs
(*.f64 12 (pow.f64 b 2))
(+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4))
(+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4))
(+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4))
(pow.f64 b 4)
(+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4))
(+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4))
(+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4))
(pow.f64 b 4)
(+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4))
(+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4))
(+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4))
(*.f64 12 b)
(+.f64 (pow.f64 b 3) (*.f64 12 b))
(+.f64 (pow.f64 b 3) (*.f64 12 b))
(+.f64 (pow.f64 b 3) (*.f64 12 b))
(pow.f64 b 3)
(+.f64 (*.f64 12 b) (pow.f64 b 3))
(+.f64 (*.f64 12 b) (pow.f64 b 3))
(+.f64 (*.f64 12 b) (pow.f64 b 3))
(pow.f64 b 3)
(+.f64 (*.f64 12 b) (pow.f64 b 3))
(+.f64 (*.f64 12 b) (pow.f64 b 3))
(+.f64 (*.f64 12 b) (pow.f64 b 3))
-1
(-.f64 (*.f64 12 (pow.f64 b 2)) 1)
(-.f64 (+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4)) 1)
(-.f64 (+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4)) 1)
(pow.f64 b 4)
(+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4))
(-.f64 (+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4)) 1)
(-.f64 (+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4)) 1)
(pow.f64 b 4)
(+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4))
(-.f64 (+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4)) 1)
(-.f64 (+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4)) 1)

Outputs
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4))
(fma.f64 12 (*.f64 b b) (pow.f64 b 4))
(*.f64 b (fma.f64 12 b (pow.f64 b 3)))
(.f64 (.f64 b b) (fma.f64 b b 12))
(.f64 b (.f64 b (fma.f64 b b 12)))
(+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4))
(fma.f64 12 (*.f64 b b) (pow.f64 b 4))
(*.f64 b (fma.f64 12 b (pow.f64 b 3)))
(.f64 (.f64 b b) (fma.f64 b b 12))
(.f64 b (.f64 b (fma.f64 b b 12)))
(+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4))
(fma.f64 12 (*.f64 b b) (pow.f64 b 4))
(*.f64 b (fma.f64 12 b (pow.f64 b 3)))
(.f64 (.f64 b b) (fma.f64 b b 12))
(.f64 b (.f64 b (fma.f64 b b 12)))
(pow.f64 b 4)
(+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4))
(fma.f64 12 (*.f64 b b) (pow.f64 b 4))
(*.f64 b (fma.f64 12 b (pow.f64 b 3)))
(.f64 (.f64 b b) (fma.f64 b b 12))
(.f64 b (.f64 b (fma.f64 b b 12)))
(+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4))
(fma.f64 12 (*.f64 b b) (pow.f64 b 4))
(*.f64 b (fma.f64 12 b (pow.f64 b 3)))
(.f64 (.f64 b b) (fma.f64 b b 12))
(.f64 b (.f64 b (fma.f64 b b 12)))
(+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4))
(fma.f64 12 (*.f64 b b) (pow.f64 b 4))
(*.f64 b (fma.f64 12 b (pow.f64 b 3)))
(.f64 (.f64 b b) (fma.f64 b b 12))
(.f64 b (.f64 b (fma.f64 b b 12)))
(pow.f64 b 4)
(+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4))
(fma.f64 12 (*.f64 b b) (pow.f64 b 4))
(*.f64 b (fma.f64 12 b (pow.f64 b 3)))
(.f64 (.f64 b b) (fma.f64 b b 12))
(.f64 b (.f64 b (fma.f64 b b 12)))
(+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4))
(fma.f64 12 (*.f64 b b) (pow.f64 b 4))
(*.f64 b (fma.f64 12 b (pow.f64 b 3)))
(.f64 (.f64 b b) (fma.f64 b b 12))
(.f64 b (.f64 b (fma.f64 b b 12)))
(+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4))
(fma.f64 12 (*.f64 b b) (pow.f64 b 4))
(*.f64 b (fma.f64 12 b (pow.f64 b 3)))
(.f64 (.f64 b b) (fma.f64 b b 12))
(.f64 b (.f64 b (fma.f64 b b 12)))
(*.f64 12 b)
(+.f64 (pow.f64 b 3) (*.f64 12 b))
(fma.f64 12 b (pow.f64 b 3))
(*.f64 b (fma.f64 b b 12))
(+.f64 (pow.f64 b 3) (*.f64 12 b))
(fma.f64 12 b (pow.f64 b 3))
(*.f64 b (fma.f64 b b 12))
(+.f64 (pow.f64 b 3) (*.f64 12 b))
(fma.f64 12 b (pow.f64 b 3))
(*.f64 b (fma.f64 b b 12))
(pow.f64 b 3)
(+.f64 (*.f64 12 b) (pow.f64 b 3))
(fma.f64 12 b (pow.f64 b 3))
(*.f64 b (fma.f64 b b 12))
(+.f64 (*.f64 12 b) (pow.f64 b 3))
(fma.f64 12 b (pow.f64 b 3))
(*.f64 b (fma.f64 b b 12))
(+.f64 (*.f64 12 b) (pow.f64 b 3))
(fma.f64 12 b (pow.f64 b 3))
(*.f64 b (fma.f64 b b 12))
(pow.f64 b 3)
(+.f64 (*.f64 12 b) (pow.f64 b 3))
(fma.f64 12 b (pow.f64 b 3))
(*.f64 b (fma.f64 b b 12))
(+.f64 (*.f64 12 b) (pow.f64 b 3))
(fma.f64 12 b (pow.f64 b 3))
(*.f64 b (fma.f64 b b 12))
(+.f64 (*.f64 12 b) (pow.f64 b 3))
(fma.f64 12 b (pow.f64 b 3))
(*.f64 b (fma.f64 b b 12))
-1
(-.f64 (*.f64 12 (pow.f64 b 2)) 1)
(fma.f64 12 (*.f64 b b) -1)
(fma.f64 b (*.f64 12 b) -1)
(-.f64 (+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4)) 1)
(+.f64 (fma.f64 12 (*.f64 b b) (pow.f64 b 4)) -1)
(fma.f64 12 (*.f64 b b) (+.f64 (pow.f64 b 4) -1))
(fma.f64 (*.f64 b b) (fma.f64 b b 12) -1)
(fma.f64 b (*.f64 b (fma.f64 b b 12)) -1)
(-.f64 (+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4)) 1)
(+.f64 (fma.f64 12 (*.f64 b b) (pow.f64 b 4)) -1)
(fma.f64 12 (*.f64 b b) (+.f64 (pow.f64 b 4) -1))
(fma.f64 (*.f64 b b) (fma.f64 b b 12) -1)
(fma.f64 b (*.f64 b (fma.f64 b b 12)) -1)
(pow.f64 b 4)
(+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4))
(fma.f64 12 (*.f64 b b) (pow.f64 b 4))
(*.f64 b (fma.f64 12 b (pow.f64 b 3)))
(.f64 (.f64 b b) (fma.f64 b b 12))
(.f64 b (.f64 b (fma.f64 b b 12)))
(-.f64 (+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4)) 1)
(+.f64 (fma.f64 12 (*.f64 b b) (pow.f64 b 4)) -1)
(fma.f64 12 (*.f64 b b) (+.f64 (pow.f64 b 4) -1))
(fma.f64 (*.f64 b b) (fma.f64 b b 12) -1)
(fma.f64 b (*.f64 b (fma.f64 b b 12)) -1)
(-.f64 (+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4)) 1)
(+.f64 (fma.f64 12 (*.f64 b b) (pow.f64 b 4)) -1)
(fma.f64 12 (*.f64 b b) (+.f64 (pow.f64 b 4) -1))
(fma.f64 (*.f64 b b) (fma.f64 b b 12) -1)
(fma.f64 b (*.f64 b (fma.f64 b b 12)) -1)
(pow.f64 b 4)
(+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4))
(fma.f64 12 (*.f64 b b) (pow.f64 b 4))
(*.f64 b (fma.f64 12 b (pow.f64 b 3)))
(.f64 (.f64 b b) (fma.f64 b b 12))
(.f64 b (.f64 b (fma.f64 b b 12)))
(-.f64 (+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4)) 1)
(+.f64 (fma.f64 12 (*.f64 b b) (pow.f64 b 4)) -1)
(fma.f64 12 (*.f64 b b) (+.f64 (pow.f64 b 4) -1))
(fma.f64 (*.f64 b b) (fma.f64 b b 12) -1)
(fma.f64 b (*.f64 b (fma.f64 b b 12)) -1)
(-.f64 (+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4)) 1)
(+.f64 (fma.f64 12 (*.f64 b b) (pow.f64 b 4)) -1)
(fma.f64 12 (*.f64 b b) (+.f64 (pow.f64 b 4) -1))
(fma.f64 (*.f64 b b) (fma.f64 b b 12) -1)
(fma.f64 b (*.f64 b (fma.f64 b b 12)) -1)

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(.f64 (.f64 a a) (+.f64 a -4))
	0.0b	(fma.f64 (.f64 (.f64 a a) (+.f64 a -4)) a (.f64 a (.f64 a 4)))
✓	0.0b	(fma.f64 (.f64 (.f64 a a) (+.f64 a -4)) a (.f64 a (.f64 a 4)))
✓	0.1b	(.f64 (.f64 a a) (+.f64 a -4))

Compiler

Compiled 57 to 32 computations (43.9% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(.f64 (.f64 a a) (+.f64 a -4))
0.0ms	a	@	-inf	(.f64 (.f64 a a) (+.f64 a -4))
0.0ms	a	@	inf	(.f64 (.f64 a a) (+.f64 a -4))
0.0ms	a	@	-inf	(fma.f64 (.f64 (.f64 a a) (+.f64 a -4)) a (.f64 a (.f64 a 4)))
0.0ms	a	@	0	(fma.f64 (.f64 (.f64 a a) (+.f64 a -4)) a (.f64 a (.f64 a 4)))

rewrite58.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

513×	`log-prod_binary64`
479×	`prod-diff_binary64`
368×	`pow-prod-down_binary64`
276×	`fma-def_binary64`
269×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	220	29
2	2790	27

Stop Event

1×	node limit

Counts

2 → 86

Calls

Call 1

Inputs
(.f64 (.f64 a a) (+.f64 a -4))
(fma.f64 (.f64 (.f64 a a) (+.f64 a -4)) a (.f64 a (.f64 a 4)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 a 3) (*.f64 a (*.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (*.f64 a -4)) (pow.f64 a 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 a (*.f64 a (+.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 a 3) 1) (*.f64 (*.f64 a (*.f64 a -4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (*.f64 a (+.f64 a -4)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (*.f64 a (+.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (*.f64 a (+.f64 a -4))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (*.f64 a (+.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a (*.f64 a (+.f64 a -4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a 9) (pow.f64 (*.f64 a (*.f64 a -4)) 3)) (+.f64 (pow.f64 a 6) (-.f64 (pow.f64 (*.f64 a (*.f64 a -4)) 2) (*.f64 (pow.f64 a 3) (*.f64 a (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 a 6) (pow.f64 (*.f64 a (*.f64 a -4)) 2)) (-.f64 (pow.f64 a 3) (*.f64 a (*.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -64 (pow.f64 a 3)) (*.f64 a a)) (-.f64 (fma.f64 a a 16) (*.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 a a -16) (*.f64 a a)) (+.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a a) (+.f64 -64 (pow.f64 a 3))) (-.f64 (fma.f64 a a 16) (*.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a a) (fma.f64 a a -16)) (+.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (*.f64 a (+.f64 a -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (sqrt.f64 (+.f64 a -4))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (sqrt.f64 (+.f64 a -4))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (*.f64 a (+.f64 a -4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (sqrt.f64 (+.f64 a -4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a (sqrt.f64 (+.f64 a -4))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (*.f64 a (+.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a (*.f64 a (+.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 a (*.f64 a -4))) (exp.f64 (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (sqrt.f64 (+.f64 a -4))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (*.f64 a (+.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (*.f64 a a) (*.f64 a (*.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (*.f64 a -4) (pow.f64 a 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a a) a (*.f64 a (*.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a a) -4 (pow.f64 a 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -4 (*.f64 a a) (pow.f64 a 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 a 3) (*.f64 a (*.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 a (*.f64 a -4)) (pow.f64 a 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (*.f64 a a)) (*.f64 a (*.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 a) a) (*.f64 (pow.f64 (cbrt.f64 a) 2) -4) (pow.f64 a 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 a) a) (pow.f64 (cbrt.f64 a) 5) (*.f64 a (*.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (pow.f64 a 5/2) (*.f64 a (*.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a 3) 1 (*.f64 (*.f64 a (*.f64 a -4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a -4) a (pow.f64 a 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a 3/2) (pow.f64 a 3/2) (*.f64 a (*.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 a (*.f64 a -4))) 2) (cbrt.f64 (*.f64 a (*.f64 a -4))) (pow.f64 a 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 a (*.f64 a -4))) (sqrt.f64 (*.f64 a (*.f64 a -4))) (pow.f64 a 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 a) 2) 4) (cbrt.f64 a) (*.f64 a (*.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a 5/2) (sqrt.f64 a) (*.f64 a (*.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (*.f64 (cbrt.f64 a) a)) (pow.f64 (cbrt.f64 a) 2) (*.f64 a (*.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -4 (*.f64 (cbrt.f64 a) a)) (pow.f64 (cbrt.f64 a) 2) (pow.f64 a 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (*.f64 a (+.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (*.f64 a (+.f64 a -4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 a (sqrt.f64 (+.f64 a -4))) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 a (*.f64 a (+.f64 a -4))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (sqrt.f64 (+.f64 a -4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 a (*.f64 a (+.f64 a -4)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (*.f64 a (+.f64 a -4)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (*.f64 a 2) 2) (*.f64 (+.f64 a -4) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 a -4) (pow.f64 a 3)) (pow.f64 (*.f64 a 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 a (fma.f64 (*.f64 a a) (+.f64 a -4) (*.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (+.f64 a -4) (pow.f64 a 3)) 1) (pow.f64 (*.f64 a 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (fma.f64 (*.f64 a a) (+.f64 a -4) (*.f64 a 4)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (fma.f64 (*.f64 a a) (+.f64 a -4) (*.f64 a 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (fma.f64 (*.f64 a a) (+.f64 a -4) (*.f64 a 4))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (fma.f64 (*.f64 a a) (+.f64 a -4) (*.f64 a 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a (fma.f64 (*.f64 a a) (+.f64 a -4) (*.f64 a 4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (fma.f64 (*.f64 a a) (+.f64 a -4) (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (fma.f64 (*.f64 a a) (+.f64 a -4) (*.f64 a 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 a (fma.f64 (*.f64 a a) (+.f64 a -4) (*.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a (fma.f64 (*.f64 a a) (+.f64 a -4) (*.f64 a 4)))) (cbrt.f64 (pow.f64 (*.f64 a (fma.f64 (*.f64 a a) (+.f64 a -4) (*.f64 a 4))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 a (fma.f64 (*.f64 a a) (+.f64 a -4) (*.f64 a 4))) 2)) (cbrt.f64 (*.f64 a (fma.f64 (*.f64 a a) (+.f64 a -4) (*.f64 a 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (*.f64 a 2) (sqrt.f64 (*.f64 (+.f64 a -4) (pow.f64 a 3)))) (hypot.f64 (*.f64 a 2) (sqrt.f64 (*.f64 (+.f64 a -4) (pow.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (+.f64 a -4) (pow.f64 a 3)) 3) (pow.f64 (*.f64 a 2) 6)) (+.f64 (pow.f64 (*.f64 (+.f64 a -4) (pow.f64 a 3)) 2) (-.f64 (*.f64 (pow.f64 a 4) 16) (*.f64 (*.f64 (+.f64 a -4) (pow.f64 a 3)) (pow.f64 (*.f64 a 2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (+.f64 a -4) (pow.f64 a 3)) 2) (*.f64 (pow.f64 a 4) 16)) (-.f64 (*.f64 (+.f64 a -4) (pow.f64 a 3)) (pow.f64 (*.f64 a 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (fma.f64 (*.f64 a a) (+.f64 a -4) (*.f64 a 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (fma.f64 (*.f64 a a) (+.f64 a -4) (*.f64 a 4))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (fma.f64 (*.f64 a a) (+.f64 a -4) (*.f64 a 4))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (fma.f64 (*.f64 a a) (+.f64 a -4) (*.f64 a 4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (*.f64 a 2) (sqrt.f64 (*.f64 (+.f64 a -4) (pow.f64 a 3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a (fma.f64 (*.f64 a a) (+.f64 a -4) (*.f64 a 4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (fma.f64 (*.f64 a a) (+.f64 a -4) (*.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a (fma.f64 (*.f64 a a) (+.f64 a -4) (*.f64 a 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 a) (*.f64 a 4)) (exp.f64 (*.f64 (+.f64 a -4) (pow.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 a 2) 2))) (exp.f64 (*.f64 (+.f64 a -4) (pow.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (+.f64 a -4) (pow.f64 a 3))) (+.f64 1 (expm1.f64 (pow.f64 (*.f64 a 2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (fma.f64 (*.f64 a a) (+.f64 a -4) (*.f64 a 4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (fma.f64 (*.f64 a a) (+.f64 a -4) (*.f64 a 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (fma.f64 (*.f64 a a) (+.f64 a -4) (*.f64 a 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (fma.f64 (*.f64 a a) (+.f64 a -4) (*.f64 a 4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 a (fma.f64 (*.f64 a a) (+.f64 a -4) (*.f64 a 4))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 a (fma.f64 (*.f64 a a) (+.f64 a -4) (*.f64 a 4))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 (*.f64 a 2) (sqrt.f64 (*.f64 (+.f64 a -4) (pow.f64 a 3))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 a (fma.f64 (*.f64 a a) (+.f64 a -4) (*.f64 a 4)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (fma.f64 (*.f64 a a) (+.f64 a -4) (*.f64 a 4)))))))))

simplify105.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

878×	`fma-def_binary64`
803×	`unswap-sqr_binary64`
655×	`sqr-pow_binary64`
653×	`*-commutative_binary64`
400×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	16	291
1	41	264
2	94	255
3	282	241
4	852	235
5	1869	235
6	3696	235
7	3819	235
8	4029	235
9	4311	235
10	4920	235
11	6012	235
12	6470	235
13	7019	235
14	7719	235

Stop Event

1×	node limit

Counts

110 → 100

Calls

Call 1

Inputs
(*.f64 -4 (pow.f64 a 2))
(+.f64 (pow.f64 a 3) (*.f64 -4 (pow.f64 a 2)))
(+.f64 (pow.f64 a 3) (*.f64 -4 (pow.f64 a 2)))
(+.f64 (pow.f64 a 3) (*.f64 -4 (pow.f64 a 2)))
(pow.f64 a 3)
(+.f64 (pow.f64 a 3) (*.f64 -4 (pow.f64 a 2)))
(+.f64 (pow.f64 a 3) (*.f64 -4 (pow.f64 a 2)))
(+.f64 (pow.f64 a 3) (*.f64 -4 (pow.f64 a 2)))
(pow.f64 a 3)
(+.f64 (pow.f64 a 3) (*.f64 -4 (pow.f64 a 2)))
(+.f64 (pow.f64 a 3) (*.f64 -4 (pow.f64 a 2)))
(+.f64 (pow.f64 a 3) (*.f64 -4 (pow.f64 a 2)))
(*.f64 4 (pow.f64 a 2))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (pow.f64 a 4)))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (pow.f64 a 4)))
(pow.f64 a 4)
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (pow.f64 a 4)))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (pow.f64 a 4)))
(pow.f64 a 4)
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (pow.f64 a 4)))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (pow.f64 a 4)))

Outputs
(*.f64 -4 (pow.f64 a 2))
(.f64 -4 (.f64 a a))
(+.f64 (pow.f64 a 3) (*.f64 -4 (pow.f64 a 2)))
(+.f64 (.f64 -4 (.f64 a a)) (pow.f64 a 3))
(.f64 (.f64 a a) (+.f64 a -4))
(.f64 a (.f64 a (+.f64 -4 a)))
(.f64 (.f64 a a) (+.f64 -4 a))
(+.f64 (pow.f64 a 3) (*.f64 -4 (pow.f64 a 2)))
(+.f64 (.f64 -4 (.f64 a a)) (pow.f64 a 3))
(.f64 (.f64 a a) (+.f64 a -4))
(.f64 a (.f64 a (+.f64 -4 a)))
(.f64 (.f64 a a) (+.f64 -4 a))
(+.f64 (pow.f64 a 3) (*.f64 -4 (pow.f64 a 2)))
(+.f64 (.f64 -4 (.f64 a a)) (pow.f64 a 3))
(.f64 (.f64 a a) (+.f64 a -4))
(.f64 a (.f64 a (+.f64 -4 a)))
(.f64 (.f64 a a) (+.f64 -4 a))
(pow.f64 a 3)
(+.f64 (pow.f64 a 3) (*.f64 -4 (pow.f64 a 2)))
(+.f64 (.f64 -4 (.f64 a a)) (pow.f64 a 3))
(.f64 (.f64 a a) (+.f64 a -4))
(.f64 a (.f64 a (+.f64 -4 a)))
(.f64 (.f64 a a) (+.f64 -4 a))
(+.f64 (pow.f64 a 3) (*.f64 -4 (pow.f64 a 2)))
(+.f64 (.f64 -4 (.f64 a a)) (pow.f64 a 3))
(.f64 (.f64 a a) (+.f64 a -4))
(.f64 a (.f64 a (+.f64 -4 a)))
(.f64 (.f64 a a) (+.f64 -4 a))
(+.f64 (pow.f64 a 3) (*.f64 -4 (pow.f64 a 2)))
(+.f64 (.f64 -4 (.f64 a a)) (pow.f64 a 3))
(.f64 (.f64 a a) (+.f64 a -4))
(.f64 a (.f64 a (+.f64 -4 a)))
(.f64 (.f64 a a) (+.f64 -4 a))
(pow.f64 a 3)
(+.f64 (pow.f64 a 3) (*.f64 -4 (pow.f64 a 2)))
(+.f64 (.f64 -4 (.f64 a a)) (pow.f64 a 3))
(.f64 (.f64 a a) (+.f64 a -4))
(.f64 a (.f64 a (+.f64 -4 a)))
(.f64 (.f64 a a) (+.f64 -4 a))
(+.f64 (pow.f64 a 3) (*.f64 -4 (pow.f64 a 2)))
(+.f64 (.f64 -4 (.f64 a a)) (pow.f64 a 3))
(.f64 (.f64 a a) (+.f64 a -4))
(.f64 a (.f64 a (+.f64 -4 a)))
(.f64 (.f64 a a) (+.f64 -4 a))
(+.f64 (pow.f64 a 3) (*.f64 -4 (pow.f64 a 2)))
(+.f64 (.f64 -4 (.f64 a a)) (pow.f64 a 3))
(.f64 (.f64 a a) (+.f64 a -4))
(.f64 a (.f64 a (+.f64 -4 a)))
(.f64 (.f64 a a) (+.f64 -4 a))
(*.f64 4 (pow.f64 a 2))
(.f64 (.f64 a a) 4)
(.f64 a (.f64 a 4))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(fma.f64 4 (.f64 a a) (.f64 -4 (pow.f64 a 3)))
(fma.f64 -4 (pow.f64 a 3) (.f64 a (.f64 a 4)))
(.f64 (.f64 a a) (+.f64 (*.f64 -4 a) 4))
(.f64 a (.f64 a (fma.f64 -4 a 4)))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (pow.f64 a 4)))
(fma.f64 4 (*.f64 a a) (fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4)))
(fma.f64 (*.f64 a a) 4 (fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4)))
(fma.f64 a (.f64 a 4) (.f64 (pow.f64 a 3) (+.f64 -4 a)))
(fma.f64 (*.f64 a a) (fma.f64 -4 a 4) (pow.f64 a 4))
(.f64 (.f64 a a) (fma.f64 a (+.f64 -4 a) 4))
(.f64 a (.f64 a (fma.f64 a (+.f64 -4 a) 4)))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (pow.f64 a 4)))
(fma.f64 4 (*.f64 a a) (fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4)))
(fma.f64 (*.f64 a a) 4 (fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4)))
(fma.f64 a (.f64 a 4) (.f64 (pow.f64 a 3) (+.f64 -4 a)))
(fma.f64 (*.f64 a a) (fma.f64 -4 a 4) (pow.f64 a 4))
(.f64 (.f64 a a) (fma.f64 a (+.f64 -4 a) 4))
(.f64 a (.f64 a (fma.f64 a (+.f64 -4 a) 4)))
(pow.f64 a 4)
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4))
(*.f64 (pow.f64 a 3) (+.f64 -4 a))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (pow.f64 a 4)))
(fma.f64 4 (*.f64 a a) (fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4)))
(fma.f64 (*.f64 a a) 4 (fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4)))
(fma.f64 a (.f64 a 4) (.f64 (pow.f64 a 3) (+.f64 -4 a)))
(fma.f64 (*.f64 a a) (fma.f64 -4 a 4) (pow.f64 a 4))
(.f64 (.f64 a a) (fma.f64 a (+.f64 -4 a) 4))
(.f64 a (.f64 a (fma.f64 a (+.f64 -4 a) 4)))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (pow.f64 a 4)))
(fma.f64 4 (*.f64 a a) (fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4)))
(fma.f64 (*.f64 a a) 4 (fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4)))
(fma.f64 a (.f64 a 4) (.f64 (pow.f64 a 3) (+.f64 -4 a)))
(fma.f64 (*.f64 a a) (fma.f64 -4 a 4) (pow.f64 a 4))
(.f64 (.f64 a a) (fma.f64 a (+.f64 -4 a) 4))
(.f64 a (.f64 a (fma.f64 a (+.f64 -4 a) 4)))
(pow.f64 a 4)
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4))
(*.f64 (pow.f64 a 3) (+.f64 -4 a))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (pow.f64 a 4)))
(fma.f64 4 (*.f64 a a) (fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4)))
(fma.f64 (*.f64 a a) 4 (fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4)))
(fma.f64 a (.f64 a 4) (.f64 (pow.f64 a 3) (+.f64 -4 a)))
(fma.f64 (*.f64 a a) (fma.f64 -4 a 4) (pow.f64 a 4))
(.f64 (.f64 a a) (fma.f64 a (+.f64 -4 a) 4))
(.f64 a (.f64 a (fma.f64 a (+.f64 -4 a) 4)))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (pow.f64 a 4)))
(fma.f64 4 (*.f64 a a) (fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4)))
(fma.f64 (*.f64 a a) 4 (fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4)))
(fma.f64 a (.f64 a 4) (.f64 (pow.f64 a 3) (+.f64 -4 a)))
(fma.f64 (*.f64 a a) (fma.f64 -4 a 4) (pow.f64 a 4))
(.f64 (.f64 a a) (fma.f64 a (+.f64 -4 a) 4))
(.f64 a (.f64 a (fma.f64 a (+.f64 -4 a) 4)))

eval184.0ms (2.3%)

Compiler: Compiled 9065 to 5682 computations (37.3% saved)

prune68.0ms (0.8%)

Pruning

21 alts after pruning (14 fresh and 7 done)

	Pruned	Kept	Total
New	382	7	389
Fresh	4	7	11
Picked	0	1	1
Done	1	6	7
Total	387	21	408

Error

Counts

408 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	13.2b	(-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (*.f64 2 a))))) 1)
✓	0.2b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 b (*.f64 b 3))))) 1)
▶	24.0b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 -4 a))) 1)
✓	53.1b	(pow.f64 a 4)
	11.8b	(-.f64 (+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 12 (*.f64 b b))) 1)
	23.7b	(-.f64 (.f64 12 (.f64 b b)) 1)
	24.7b	-1
	3.4b	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (+.f64 (.f64 b (.f64 b a)) (*.f64 a a)) -1))
	51.9b	(.f64 (.f64 a a) (+.f64 (fma.f64 b (.f64 b 2) 4) (.f64 a (+.f64 -4 a))))
▶	52.2b	(*.f64 (pow.f64 a 3) (+.f64 -4 a))
▶	13.3b	(-.f64 (+.f64 (.f64 a (.f64 a 4)) (*.f64 (+.f64 a -4) (pow.f64 a 3))) 1)
✓	11.8b	(-.f64 (.f64 b (.f64 b (fma.f64 b b 12))) 1)
▶	2.2b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 a a) (.f64 b (.f64 b 3))))) 1)
✓	23.8b	(-.f64 (.f64 4 (.f64 a a)) 1)
	13.4b	(-.f64 (.f64 a (.f64 a (fma.f64 a (+.f64 -4 a) 4))) 1)
▶	23.7b	(-.f64 (.f64 b (.f64 12 b)) 1)
✓	13.4b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
✓	50.7b	(pow.f64 b 4)
	11.8b	(-.f64 (.f64 b (+.f64 (pow.f64 b 3) (.f64 b 12))) 1)
✓	13.3b	(-.f64 (fma.f64 (.f64 (.f64 a a) (+.f64 a -4)) a (.f64 a (.f64 a 4))) 1)
	15.3b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)

Compiler

Compiled 504 to 350 computations (30.6% saved)

localize32.0ms (0.4%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 a a) (.f64 b (.f64 b 3)))))
	0.0b	(.f64 4 (+.f64 (.f64 a a) (.f64 b (.f64 b 3))))
	0.0b	(+.f64 (.f64 a a) (.f64 b b))
	0.0b	(+.f64 (.f64 a a) (.f64 b (*.f64 b 3)))
✓	0.0b	(.f64 4 (+.f64 (.f64 a a) (.f64 b (.f64 b 3))))
✓	0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 a a) (.f64 b (.f64 b 3)))))
	0.1b	(.f64 b (.f64 b 3))
	0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

Compiler

Compiled 102 to 46 computations (54.9% saved)

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 a a) (.f64 b (.f64 b 3)))))
0.0ms	a	@	inf	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 a a) (.f64 b (.f64 b 3)))))
0.0ms	b	@	0	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 a a) (.f64 b (.f64 b 3)))))
0.0ms	b	@	inf	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 a a) (.f64 b (.f64 b 3)))))
0.0ms	a	@	0	(.f64 4 (+.f64 (.f64 a a) (.f64 b (.f64 b 3))))

rewrite77.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

763×	`fma-def_binary64`
752×	`log-prod_binary64`
341×	`fma-neg_binary64`
275×	`expm1-udef_binary64`
275×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	338	38
2	4645	38

Stop Event

1×	node limit

Counts

2 → 115

Calls

Call 1

Inputs
(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 a a) (.f64 b (.f64 b 3)))))
(.f64 4 (+.f64 (.f64 a a) (.f64 b (.f64 b 3))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 a (*.f64 a 4) (fma.f64 (*.f64 b b) 12 (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a b) 2) 4) (+.f64 (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2) (*.f64 -4 (fma.f64 b (*.f64 b 3) (*.f64 a a))))) (/.f64 (*.f64 16 (pow.f64 (fma.f64 b (*.f64 b 3) (*.f64 a a)) 2)) (+.f64 (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2) (*.f64 -4 (fma.f64 b (*.f64 b 3) (*.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 a (*.f64 a 4) (fma.f64 (*.f64 b b) 12 (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 a (*.f64 a 4) (fma.f64 (*.f64 b b) 12 (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 a (*.f64 a 4) (fma.f64 (*.f64 b b) 12 (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2)))) (pow.f64 (cbrt.f64 (fma.f64 a (*.f64 a 4) (fma.f64 (*.f64 b b) 12 (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 a (*.f64 a 4) (fma.f64 (*.f64 b b) 12 (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2)))) 2) (cbrt.f64 (fma.f64 a (*.f64 a 4) (fma.f64 (*.f64 b b) 12 (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (pow.f64 (hypot.f64 a b) 2) (*.f64 2 (hypot.f64 a (*.f64 b (sqrt.f64 3))))) (hypot.f64 (pow.f64 (hypot.f64 a b) 2) (*.f64 2 (hypot.f64 a (*.f64 b (sqrt.f64 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 64 (pow.f64 (fma.f64 b (*.f64 b 3) (*.f64 a a)) 3) (pow.f64 (pow.f64 (hypot.f64 a b) 2) 6)) (/.f64 1 (fma.f64 (*.f64 4 (fma.f64 b (*.f64 b 3) (*.f64 a a))) (-.f64 (*.f64 4 (fma.f64 b (*.f64 b 3) (*.f64 a a))) (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2)) (pow.f64 (pow.f64 (hypot.f64 a b) 2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 a b) 2) 4) (*.f64 16 (pow.f64 (fma.f64 b (*.f64 b 3) (*.f64 a a)) 2))) (/.f64 1 (+.f64 (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2) (*.f64 -4 (fma.f64 b (*.f64 b 3) (*.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 4 (fma.f64 b (*.f64 b 3) (*.f64 a a))) (-.f64 (*.f64 4 (fma.f64 b (*.f64 b 3) (*.f64 a a))) (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2)) (pow.f64 (pow.f64 (hypot.f64 a b) 2) 4)) (fma.f64 64 (pow.f64 (fma.f64 b (*.f64 b 3) (*.f64 a a)) 3) (pow.f64 (pow.f64 (hypot.f64 a b) 2) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2) (*.f64 -4 (fma.f64 b (*.f64 b 3) (*.f64 a a)))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 a b) 2) 4) (*.f64 16 (pow.f64 (fma.f64 b (*.f64 b 3) (*.f64 a a)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 64 (pow.f64 (fma.f64 b (*.f64 b 3) (*.f64 a a)) 3) (pow.f64 (pow.f64 (hypot.f64 a b) 2) 6)) (fma.f64 (*.f64 4 (fma.f64 b (*.f64 b 3) (*.f64 a a))) (-.f64 (*.f64 4 (fma.f64 b (*.f64 b 3) (*.f64 a a))) (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2)) (pow.f64 (pow.f64 (hypot.f64 a b) 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 64 (pow.f64 (fma.f64 b (*.f64 b 3) (*.f64 a a)) 3) (pow.f64 (pow.f64 (hypot.f64 a b) 2) 6)) (fma.f64 16 (pow.f64 (fma.f64 b (*.f64 b 3) (*.f64 a a)) 2) (-.f64 (pow.f64 (pow.f64 (hypot.f64 a b) 2) 4) (*.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2) 4) (fma.f64 b (*.f64 b 3) (*.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 a b) 2) 4) (*.f64 16 (pow.f64 (fma.f64 b (*.f64 b 3) (*.f64 a a)) 2))) (+.f64 (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2) (*.f64 -4 (fma.f64 b (*.f64 b 3) (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 64 (pow.f64 (fma.f64 b (*.f64 b 3) (*.f64 a a)) 3) (pow.f64 (pow.f64 (hypot.f64 a b) 2) 6))) (neg.f64 (fma.f64 (*.f64 4 (fma.f64 b (*.f64 b 3) (*.f64 a a))) (-.f64 (*.f64 4 (fma.f64 b (*.f64 b 3) (*.f64 a 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simplify127.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

928×	`fma-def_binary64`
648×	`unswap-sqr_binary64`
469×	`sqr-pow_binary64`
467×	`distribute-rgt-in_binary64`
421×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	832
1	102	826
2	284	802
3	901	802
4	2773	802
5	3823	802
6	5185	802
7	5795	802
8	6599	802
9	6840	802
10	7189	802
11	7646	802

Stop Event

1×	node limit

Counts

163 → 140

Calls

Call 1

Inputs
(+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4)))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (*.f64 12 (pow.f64 b 2)) (+.f64 (pow.f64 a 4) (pow.f64 b 4))))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (*.f64 12 (pow.f64 b 2)) (+.f64 (pow.f64 a 4) (pow.f64 b 4))))
(pow.f64 a 4)
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (pow.f64 a 4))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (*.f64 12 (pow.f64 b 2)) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (*.f64 12 (pow.f64 b 2)) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))
(pow.f64 a 4)
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (pow.f64 a 4))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (*.f64 12 (pow.f64 b 2)) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (*.f64 12 (pow.f64 b 2)) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))
(+.f64 (*.f64 4 (pow.f64 a 2)) (pow.f64 a 4))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (+.f64 (*.f64 4 (pow.f64 a 2)) (pow.f64 a 4)))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (+.f64 (*.f64 4 (pow.f64 a 2)) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (+.f64 (*.f64 4 (pow.f64 a 2)) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))
(pow.f64 b 4)
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (pow.f64 b 4))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (+.f64 (*.f64 4 (pow.f64 a 2)) (+.f64 (pow.f64 a 4) (pow.f64 b 4))))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (+.f64 (*.f64 4 (pow.f64 a 2)) (+.f64 (pow.f64 a 4) (pow.f64 b 4))))
(pow.f64 b 4)
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (pow.f64 b 4))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (+.f64 (*.f64 4 (pow.f64 a 2)) (+.f64 (pow.f64 a 4) (pow.f64 b 4))))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (+.f64 (*.f64 4 (pow.f64 a 2)) (+.f64 (pow.f64 a 4) (pow.f64 b 4))))
(*.f64 12 (pow.f64 b 2))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 12 (pow.f64 b 2)))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 12 (pow.f64 b 2)))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 12 (pow.f64 b 2)))
(*.f64 4 (pow.f64 a 2))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 12 (pow.f64 b 2)))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 12 (pow.f64 b 2)))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 12 (pow.f64 b 2)))
(*.f64 4 (pow.f64 a 2))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 12 (pow.f64 b 2)))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 12 (pow.f64 b 2)))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 12 (pow.f64 b 2)))
(*.f64 4 (pow.f64 a 2))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 12 (pow.f64 b 2)))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 12 (pow.f64 b 2)))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 12 (pow.f64 b 2)))
(*.f64 12 (pow.f64 b 2))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 12 (pow.f64 b 2)))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 12 (pow.f64 b 2)))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 12 (pow.f64 b 2)))
(*.f64 12 (pow.f64 b 2))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 12 (pow.f64 b 2)))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 12 (pow.f64 b 2)))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 12 (pow.f64 b 2)))

Outputs
(+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4))
(fma.f64 12 (*.f64 b b) (pow.f64 b 4))
(.f64 (.f64 b b) (fma.f64 b b 12))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4)))
(fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (fma.f64 12 (*.f64 b b) (pow.f64 b 4)))
(fma.f64 b (.f64 b (fma.f64 2 (.f64 a a) 12)) (fma.f64 4 (*.f64 a a) (pow.f64 b 4)))
(fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (.f64 (.f64 b b) (fma.f64 b b 12)))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (*.f64 12 (pow.f64 b 2)) (+.f64 (pow.f64 a 4) (pow.f64 b 4))))
(fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (+.f64 (fma.f64 12 (*.f64 b b) (pow.f64 b 4)) (pow.f64 a 4)))
(+.f64 (fma.f64 12 (.f64 b b) (pow.f64 b 4)) (fma.f64 (fma.f64 2 (.f64 b b) 4) (*.f64 a a) (pow.f64 a 4)))
(fma.f64 b (.f64 b (fma.f64 2 (.f64 a a) 12)) (fma.f64 (*.f64 a a) (fma.f64 a a 4) (pow.f64 b 4)))
(fma.f64 12 (.f64 b b) (fma.f64 a (.f64 a (fma.f64 2 (*.f64 b b) (fma.f64 a a 4))) (pow.f64 b 4)))
(fma.f64 b (.f64 b (fma.f64 2 (.f64 a a) (fma.f64 b b 12))) (.f64 (.f64 a a) (fma.f64 a a 4)))
(fma.f64 a (.f64 a (fma.f64 2 (.f64 b b) (fma.f64 a a 4))) (.f64 (.f64 b b) (fma.f64 b b 12)))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (*.f64 12 (pow.f64 b 2)) (+.f64 (pow.f64 a 4) (pow.f64 b 4))))
(fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (+.f64 (fma.f64 12 (*.f64 b b) (pow.f64 b 4)) (pow.f64 a 4)))
(+.f64 (fma.f64 12 (.f64 b b) (pow.f64 b 4)) (fma.f64 (fma.f64 2 (.f64 b b) 4) (*.f64 a a) (pow.f64 a 4)))
(fma.f64 b (.f64 b (fma.f64 2 (.f64 a a) 12)) (fma.f64 (*.f64 a a) (fma.f64 a a 4) (pow.f64 b 4)))
(fma.f64 12 (.f64 b b) (fma.f64 a (.f64 a (fma.f64 2 (*.f64 b b) (fma.f64 a a 4))) (pow.f64 b 4)))
(fma.f64 b (.f64 b (fma.f64 2 (.f64 a a) (fma.f64 b b 12))) (.f64 (.f64 a a) (fma.f64 a a 4)))
(fma.f64 a (.f64 a (fma.f64 2 (.f64 b b) (fma.f64 a a 4))) (.f64 (.f64 b b) (fma.f64 b b 12)))
(pow.f64 a 4)
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (pow.f64 a 4))
(fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (pow.f64 a 4))
(.f64 a (.f64 a (fma.f64 a a (fma.f64 2 (*.f64 b b) 4))))
(.f64 a (.f64 a (fma.f64 2 (*.f64 b b) (fma.f64 a a 4))))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (*.f64 12 (pow.f64 b 2)) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))
(fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (+.f64 (fma.f64 12 (*.f64 b b) (pow.f64 b 4)) (pow.f64 a 4)))
(+.f64 (fma.f64 12 (.f64 b b) (pow.f64 b 4)) (fma.f64 (fma.f64 2 (.f64 b b) 4) (*.f64 a a) (pow.f64 a 4)))
(fma.f64 b (.f64 b (fma.f64 2 (.f64 a a) 12)) (fma.f64 (*.f64 a a) (fma.f64 a a 4) (pow.f64 b 4)))
(fma.f64 12 (.f64 b b) (fma.f64 a (.f64 a (fma.f64 2 (*.f64 b b) (fma.f64 a a 4))) (pow.f64 b 4)))
(fma.f64 b (.f64 b (fma.f64 2 (.f64 a a) (fma.f64 b b 12))) (.f64 (.f64 a a) (fma.f64 a a 4)))
(fma.f64 a (.f64 a (fma.f64 2 (.f64 b b) (fma.f64 a a 4))) (.f64 (.f64 b b) (fma.f64 b b 12)))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (*.f64 12 (pow.f64 b 2)) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))
(fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (+.f64 (fma.f64 12 (*.f64 b b) (pow.f64 b 4)) (pow.f64 a 4)))
(+.f64 (fma.f64 12 (.f64 b b) (pow.f64 b 4)) (fma.f64 (fma.f64 2 (.f64 b b) 4) (*.f64 a a) (pow.f64 a 4)))
(fma.f64 b (.f64 b (fma.f64 2 (.f64 a a) 12)) (fma.f64 (*.f64 a a) (fma.f64 a a 4) (pow.f64 b 4)))
(fma.f64 12 (.f64 b b) (fma.f64 a (.f64 a (fma.f64 2 (*.f64 b b) (fma.f64 a a 4))) (pow.f64 b 4)))
(fma.f64 b (.f64 b (fma.f64 2 (.f64 a a) (fma.f64 b b 12))) (.f64 (.f64 a a) (fma.f64 a a 4)))
(fma.f64 a (.f64 a (fma.f64 2 (.f64 b b) (fma.f64 a a 4))) (.f64 (.f64 b b) (fma.f64 b b 12)))
(pow.f64 a 4)
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (pow.f64 a 4))
(fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (pow.f64 a 4))
(.f64 a (.f64 a (fma.f64 a a (fma.f64 2 (*.f64 b b) 4))))
(.f64 a (.f64 a (fma.f64 2 (*.f64 b b) (fma.f64 a a 4))))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (*.f64 12 (pow.f64 b 2)) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))
(fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (+.f64 (fma.f64 12 (*.f64 b b) (pow.f64 b 4)) (pow.f64 a 4)))
(+.f64 (fma.f64 12 (.f64 b b) (pow.f64 b 4)) (fma.f64 (fma.f64 2 (.f64 b b) 4) (*.f64 a a) (pow.f64 a 4)))
(fma.f64 b (.f64 b (fma.f64 2 (.f64 a a) 12)) (fma.f64 (*.f64 a a) (fma.f64 a a 4) (pow.f64 b 4)))
(fma.f64 12 (.f64 b b) (fma.f64 a (.f64 a (fma.f64 2 (*.f64 b b) (fma.f64 a a 4))) (pow.f64 b 4)))
(fma.f64 b (.f64 b (fma.f64 2 (.f64 a a) (fma.f64 b b 12))) (.f64 (.f64 a a) (fma.f64 a a 4)))
(fma.f64 a (.f64 a (fma.f64 2 (.f64 b b) (fma.f64 a a 4))) (.f64 (.f64 b b) (fma.f64 b b 12)))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (*.f64 12 (pow.f64 b 2)) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))
(fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (+.f64 (fma.f64 12 (*.f64 b b) (pow.f64 b 4)) (pow.f64 a 4)))
(+.f64 (fma.f64 12 (.f64 b b) (pow.f64 b 4)) (fma.f64 (fma.f64 2 (.f64 b b) 4) (*.f64 a a) (pow.f64 a 4)))
(fma.f64 b (.f64 b (fma.f64 2 (.f64 a a) 12)) (fma.f64 (*.f64 a a) (fma.f64 a a 4) (pow.f64 b 4)))
(fma.f64 12 (.f64 b b) (fma.f64 a (.f64 a (fma.f64 2 (*.f64 b b) (fma.f64 a a 4))) (pow.f64 b 4)))
(fma.f64 b (.f64 b (fma.f64 2 (.f64 a a) (fma.f64 b b 12))) (.f64 (.f64 a a) (fma.f64 a a 4)))
(fma.f64 a (.f64 a (fma.f64 2 (.f64 b b) (fma.f64 a a 4))) (.f64 (.f64 b b) (fma.f64 b b 12)))
(+.f64 (*.f64 4 (pow.f64 a 2)) (pow.f64 a 4))
(fma.f64 4 (*.f64 a a) (pow.f64 a 4))
(.f64 a (.f64 a (fma.f64 a a 4)))
(.f64 (.f64 a a) (fma.f64 a a 4))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (+.f64 (*.f64 4 (pow.f64 a 2)) (pow.f64 a 4)))
(fma.f64 (.f64 b b) (+.f64 12 (.f64 2 (.f64 a a))) (fma.f64 4 (.f64 a a) (pow.f64 a 4)))
(fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) 12) (fma.f64 4 (*.f64 a a) (pow.f64 a 4)))
(fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (fma.f64 12 (*.f64 b b) (pow.f64 a 4)))
(fma.f64 12 (.f64 b b) (.f64 a (.f64 a (fma.f64 2 (.f64 b b) (fma.f64 a a 4)))))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (+.f64 (*.f64 4 (pow.f64 a 2)) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))
(fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (+.f64 (fma.f64 12 (*.f64 b b) (pow.f64 b 4)) (pow.f64 a 4)))
(+.f64 (fma.f64 12 (.f64 b b) (pow.f64 b 4)) (fma.f64 (fma.f64 2 (.f64 b b) 4) (*.f64 a a) (pow.f64 a 4)))
(fma.f64 b (.f64 b (fma.f64 2 (.f64 a a) 12)) (fma.f64 (*.f64 a a) (fma.f64 a a 4) (pow.f64 b 4)))
(fma.f64 12 (.f64 b b) (fma.f64 a (.f64 a (fma.f64 2 (*.f64 b b) (fma.f64 a a 4))) (pow.f64 b 4)))
(fma.f64 b (.f64 b (fma.f64 2 (.f64 a a) (fma.f64 b b 12))) (.f64 (.f64 a a) (fma.f64 a a 4)))
(fma.f64 a (.f64 a (fma.f64 2 (.f64 b b) (fma.f64 a a 4))) (.f64 (.f64 b b) (fma.f64 b b 12)))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (+.f64 (*.f64 4 (pow.f64 a 2)) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))
(fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (+.f64 (fma.f64 12 (*.f64 b b) (pow.f64 b 4)) (pow.f64 a 4)))
(+.f64 (fma.f64 12 (.f64 b b) (pow.f64 b 4)) (fma.f64 (fma.f64 2 (.f64 b b) 4) (*.f64 a a) (pow.f64 a 4)))
(fma.f64 b (.f64 b (fma.f64 2 (.f64 a a) 12)) (fma.f64 (*.f64 a a) (fma.f64 a a 4) (pow.f64 b 4)))
(fma.f64 12 (.f64 b b) (fma.f64 a (.f64 a (fma.f64 2 (*.f64 b b) (fma.f64 a a 4))) (pow.f64 b 4)))
(fma.f64 b (.f64 b (fma.f64 2 (.f64 a a) (fma.f64 b b 12))) (.f64 (.f64 a a) (fma.f64 a a 4)))
(fma.f64 a (.f64 a (fma.f64 2 (.f64 b b) (fma.f64 a a 4))) (.f64 (.f64 b b) (fma.f64 b b 12)))
(pow.f64 b 4)
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (pow.f64 b 4))
(fma.f64 (.f64 b b) (+.f64 12 (.f64 2 (*.f64 a a))) (pow.f64 b 4))
(fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) 12) (pow.f64 b 4))
(.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (*.f64 a a) 12)))
(.f64 b (.f64 b (fma.f64 2 (*.f64 a a) (fma.f64 b b 12))))
(fma.f64 b (.f64 b (fma.f64 2 (.f64 a a) 12)) (pow.f64 b 4))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (+.f64 (*.f64 4 (pow.f64 a 2)) (+.f64 (pow.f64 a 4) (pow.f64 b 4))))
(fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (+.f64 (fma.f64 12 (*.f64 b b) (pow.f64 b 4)) (pow.f64 a 4)))
(+.f64 (fma.f64 12 (.f64 b b) (pow.f64 b 4)) (fma.f64 (fma.f64 2 (.f64 b b) 4) (*.f64 a a) (pow.f64 a 4)))
(fma.f64 b (.f64 b (fma.f64 2 (.f64 a a) 12)) (fma.f64 (*.f64 a a) (fma.f64 a a 4) (pow.f64 b 4)))
(fma.f64 12 (.f64 b b) (fma.f64 a (.f64 a (fma.f64 2 (*.f64 b b) (fma.f64 a a 4))) (pow.f64 b 4)))
(fma.f64 b (.f64 b (fma.f64 2 (.f64 a a) (fma.f64 b b 12))) (.f64 (.f64 a a) (fma.f64 a a 4)))
(fma.f64 a (.f64 a (fma.f64 2 (.f64 b b) (fma.f64 a a 4))) (.f64 (.f64 b b) (fma.f64 b b 12)))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (+.f64 (*.f64 4 (pow.f64 a 2)) (+.f64 (pow.f64 a 4) (pow.f64 b 4))))
(fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (+.f64 (fma.f64 12 (*.f64 b b) (pow.f64 b 4)) (pow.f64 a 4)))
(+.f64 (fma.f64 12 (.f64 b b) (pow.f64 b 4)) (fma.f64 (fma.f64 2 (.f64 b b) 4) (*.f64 a a) (pow.f64 a 4)))
(fma.f64 b (.f64 b (fma.f64 2 (.f64 a a) 12)) (fma.f64 (*.f64 a a) (fma.f64 a a 4) (pow.f64 b 4)))
(fma.f64 12 (.f64 b b) (fma.f64 a (.f64 a (fma.f64 2 (*.f64 b b) (fma.f64 a a 4))) (pow.f64 b 4)))
(fma.f64 b (.f64 b (fma.f64 2 (.f64 a a) (fma.f64 b b 12))) (.f64 (.f64 a a) (fma.f64 a a 4)))
(fma.f64 a (.f64 a (fma.f64 2 (.f64 b b) (fma.f64 a a 4))) (.f64 (.f64 b b) (fma.f64 b b 12)))
(pow.f64 b 4)
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (pow.f64 b 4))
(fma.f64 (.f64 b b) (+.f64 12 (.f64 2 (*.f64 a a))) (pow.f64 b 4))
(fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) 12) (pow.f64 b 4))
(.f64 (.f64 b b) (fma.f64 b b (fma.f64 2 (*.f64 a a) 12)))
(.f64 b (.f64 b (fma.f64 2 (*.f64 a a) (fma.f64 b b 12))))
(fma.f64 b (.f64 b (fma.f64 2 (.f64 a a) 12)) (pow.f64 b 4))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (+.f64 (*.f64 4 (pow.f64 a 2)) (+.f64 (pow.f64 a 4) (pow.f64 b 4))))
(fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (+.f64 (fma.f64 12 (*.f64 b b) (pow.f64 b 4)) (pow.f64 a 4)))
(+.f64 (fma.f64 12 (.f64 b b) (pow.f64 b 4)) (fma.f64 (fma.f64 2 (.f64 b b) 4) (*.f64 a a) (pow.f64 a 4)))
(fma.f64 b (.f64 b (fma.f64 2 (.f64 a a) 12)) (fma.f64 (*.f64 a a) (fma.f64 a a 4) (pow.f64 b 4)))
(fma.f64 12 (.f64 b b) (fma.f64 a (.f64 a (fma.f64 2 (*.f64 b b) (fma.f64 a a 4))) (pow.f64 b 4)))
(fma.f64 b (.f64 b (fma.f64 2 (.f64 a a) (fma.f64 b b 12))) (.f64 (.f64 a a) (fma.f64 a a 4)))
(fma.f64 a (.f64 a (fma.f64 2 (.f64 b b) (fma.f64 a a 4))) (.f64 (.f64 b b) (fma.f64 b b 12)))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 12 (.f64 2 (pow.f64 a 2)))) (+.f64 (*.f64 4 (pow.f64 a 2)) (+.f64 (pow.f64 a 4) (pow.f64 b 4))))
(fma.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a a) (+.f64 (fma.f64 12 (*.f64 b b) (pow.f64 b 4)) (pow.f64 a 4)))
(+.f64 (fma.f64 12 (.f64 b b) (pow.f64 b 4)) (fma.f64 (fma.f64 2 (.f64 b b) 4) (*.f64 a a) (pow.f64 a 4)))
(fma.f64 b (.f64 b (fma.f64 2 (.f64 a a) 12)) (fma.f64 (*.f64 a a) (fma.f64 a a 4) (pow.f64 b 4)))
(fma.f64 12 (.f64 b b) (fma.f64 a (.f64 a (fma.f64 2 (*.f64 b b) (fma.f64 a a 4))) (pow.f64 b 4)))
(fma.f64 b (.f64 b (fma.f64 2 (.f64 a a) (fma.f64 b b 12))) (.f64 (.f64 a a) (fma.f64 a a 4)))
(fma.f64 a (.f64 a (fma.f64 2 (.f64 b b) (fma.f64 a a 4))) (.f64 (.f64 b b) (fma.f64 b b 12)))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 12 (pow.f64 b 2)))
(fma.f64 4 (.f64 a a) (.f64 12 (*.f64 b b)))
(fma.f64 12 (.f64 b b) (.f64 4 (*.f64 a a)))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 12 (pow.f64 b 2)))
(fma.f64 4 (.f64 a a) (.f64 12 (*.f64 b b)))
(fma.f64 12 (.f64 b b) (.f64 4 (*.f64 a a)))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 12 (pow.f64 b 2)))
(fma.f64 4 (.f64 a a) (.f64 12 (*.f64 b b)))
(fma.f64 12 (.f64 b b) (.f64 4 (*.f64 a a)))
(*.f64 4 (pow.f64 a 2))
(.f64 4 (.f64 a a))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 12 (pow.f64 b 2)))
(fma.f64 4 (.f64 a a) (.f64 12 (*.f64 b b)))
(fma.f64 12 (.f64 b b) (.f64 4 (*.f64 a a)))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 12 (pow.f64 b 2)))
(fma.f64 4 (.f64 a a) (.f64 12 (*.f64 b b)))
(fma.f64 12 (.f64 b b) (.f64 4 (*.f64 a a)))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 12 (pow.f64 b 2)))
(fma.f64 4 (.f64 a a) (.f64 12 (*.f64 b b)))
(fma.f64 12 (.f64 b b) (.f64 4 (*.f64 a a)))
(*.f64 4 (pow.f64 a 2))
(.f64 4 (.f64 a a))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 12 (pow.f64 b 2)))
(fma.f64 4 (.f64 a a) (.f64 12 (*.f64 b b)))
(fma.f64 12 (.f64 b b) (.f64 4 (*.f64 a a)))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 12 (pow.f64 b 2)))
(fma.f64 4 (.f64 a a) (.f64 12 (*.f64 b b)))
(fma.f64 12 (.f64 b b) (.f64 4 (*.f64 a a)))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 12 (pow.f64 b 2)))
(fma.f64 4 (.f64 a a) (.f64 12 (*.f64 b b)))
(fma.f64 12 (.f64 b b) (.f64 4 (*.f64 a a)))
(*.f64 4 (pow.f64 a 2))
(.f64 4 (.f64 a a))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 12 (pow.f64 b 2)))
(fma.f64 4 (.f64 a a) (.f64 12 (*.f64 b b)))
(fma.f64 12 (.f64 b b) (.f64 4 (*.f64 a a)))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 12 (pow.f64 b 2)))
(fma.f64 4 (.f64 a a) (.f64 12 (*.f64 b b)))
(fma.f64 12 (.f64 b b) (.f64 4 (*.f64 a a)))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 12 (pow.f64 b 2)))
(fma.f64 4 (.f64 a a) (.f64 12 (*.f64 b b)))
(fma.f64 12 (.f64 b b) (.f64 4 (*.f64 a a)))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 12 (pow.f64 b 2)))
(fma.f64 4 (.f64 a a) (.f64 12 (*.f64 b b)))
(fma.f64 12 (.f64 b b) (.f64 4 (*.f64 a a)))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 12 (pow.f64 b 2)))
(fma.f64 4 (.f64 a a) (.f64 12 (*.f64 b b)))
(fma.f64 12 (.f64 b b) (.f64 4 (*.f64 a a)))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 12 (pow.f64 b 2)))
(fma.f64 4 (.f64 a a) (.f64 12 (*.f64 b b)))
(fma.f64 12 (.f64 b b) (.f64 4 (*.f64 a a)))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 12 (pow.f64 b 2)))
(fma.f64 4 (.f64 a a) (.f64 12 (*.f64 b b)))
(fma.f64 12 (.f64 b b) (.f64 4 (*.f64 a a)))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 12 (pow.f64 b 2)))
(fma.f64 4 (.f64 a a) (.f64 12 (*.f64 b b)))
(fma.f64 12 (.f64 b b) (.f64 4 (*.f64 a a)))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 12 (pow.f64 b 2)))
(fma.f64 4 (.f64 a a) (.f64 12 (*.f64 b b)))
(fma.f64 12 (.f64 b b) (.f64 4 (*.f64 a a)))

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(.f64 b (.f64 12 b))
	0.0b	(-.f64 (.f64 b (.f64 12 b)) 1)
✓	0.0b	(-.f64 (.f64 b (.f64 12 b)) 1)
✓	0.1b	(.f64 b (.f64 12 b))

Compiler

Compiled 20 to 14 computations (30% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	b	@	0	(.f64 b (.f64 12 b))
0.0ms	b	@	inf	(.f64 b (.f64 12 b))
0.0ms	b	@	inf	(-.f64 (.f64 b (.f64 12 b)) 1)
0.0ms	b	@	0	(-.f64 (.f64 b (.f64 12 b)) 1)
0.0ms	b	@	-inf	(.f64 b (.f64 12 b))

rewrite45.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

668×	`pow1_binary64`
623×	`add-log-exp_binary64`
622×	`log1p-expm1-u_binary64`
622×	`expm1-log1p-u_binary64`
612×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	148	15
2	1741	15

Stop Event

1×	node limit

Counts

2 → 45

Calls

Call 1

Inputs
(.f64 b (.f64 12 b))
(-.f64 (.f64 b (.f64 12 b)) 1)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 b (*.f64 b 12) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 b (*.f64 b 12) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b (*.f64 b 12)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 b (*.f64 b 12))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 b (*.f64 b 12))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 b (*.f64 b 12)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 b (*.f64 b 12)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 b) 12) b))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 b (*.f64 b 12)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 b (*.f64 b 12))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 b (*.f64 b 12))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 b (*.f64 b 12))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b (*.f64 b 12)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (*.f64 b (*.f64 b 12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 b (*.f64 b 12) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 b (*.f64 b 12) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 b (*.f64 b 12) -1)) (pow.f64 (cbrt.f64 (fma.f64 b (*.f64 b 12) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 b (*.f64 b 12) -1)) 2) (cbrt.f64 (fma.f64 b (*.f64 b 12) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 b (*.f64 b 12) -1)) (sqrt.f64 (fma.f64 b (*.f64 b 12) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 b (*.f64 b 12)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (*.f64 b (*.f64 b 12)) 2) (fma.f64 b (*.f64 b 12) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 b (*.f64 b 12)) 2) -1) (/.f64 1 (fma.f64 b (*.f64 b 12) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 b (*.f64 b 12))) 1) (-.f64 (sqrt.f64 (*.f64 b (*.f64 b 12))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 b (*.f64 b 12)) 2) (fma.f64 b (*.f64 b 12) 1)) (+.f64 (pow.f64 (*.f64 b (*.f64 b 12)) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 b (*.f64 b 12) 1) (+.f64 (pow.f64 (*.f64 b (*.f64 b 12)) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 b (*.f64 b 12)) 3) -1) (+.f64 (pow.f64 (*.f64 b (*.f64 b 12)) 2) (fma.f64 b (*.f64 b 12) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 b (*.f64 b 12)) 3) -1) (+.f64 (pow.f64 (*.f64 b (*.f64 b 12)) 2) (-.f64 1 (*.f64 (*.f64 b (*.f64 b 12)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 b (*.f64 b 12)) 2) -1) (fma.f64 b (*.f64 b 12) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 b (*.f64 b 12)) 2) -1) (-.f64 (*.f64 b (*.f64 b 12)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 b (*.f64 b 12)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (*.f64 b (*.f64 b 12)) 2) (fma.f64 b (*.f64 b 12) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 b (*.f64 b 12)) 2) -1)) (neg.f64 (fma.f64 b (*.f64 b 12) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 b (*.f64 b 12) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b (*.f64 b 12) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 b (*.f64 b 12) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 b (*.f64 b 12) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 b (*.f64 b 12) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 b (*.f64 b 12) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 b (*.f64 b 12) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (*.f64 b (*.f64 b 12))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b (*.f64 b 12) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b 12) b -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 b (*.f64 b 12)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 b (*.f64 b 12))) 2) (cbrt.f64 (*.f64 b (*.f64 b 12))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 b (*.f64 b 12))) (sqrt.f64 (*.f64 b (*.f64 b 12))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 b (*.f64 b 12) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 b (*.f64 b 12) -1)))))))

simplify145.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1104×	`sqr-pow_binary64`
618×	`cube-prod_binary64`
555×	`fabs-mul_binary64`
536×	`pow-sqr_binary64`
450×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	171
1	19	171
2	30	171
3	55	171
4	121	171
5	337	171
6	1262	171
7	2161	171
8	2324	171
9	2508	171
10	2716	171
11	3009	171
12	3400	171
13	3880	171
14	4441	171
15	5131	171
16	5964	171
17	6354	171
18	6642	171
19	6922	171
20	6994	171
21	7030	171
22	7971	171

Stop Event

1×	node limit

Counts

69 → 50

Calls

Call 1

Inputs
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
-1
(-.f64 (*.f64 12 (pow.f64 b 2)) 1)
(-.f64 (*.f64 12 (pow.f64 b 2)) 1)
(-.f64 (*.f64 12 (pow.f64 b 2)) 1)
(*.f64 12 (pow.f64 b 2))
(-.f64 (*.f64 12 (pow.f64 b 2)) 1)
(-.f64 (*.f64 12 (pow.f64 b 2)) 1)
(-.f64 (*.f64 12 (pow.f64 b 2)) 1)
(*.f64 12 (pow.f64 b 2))
(-.f64 (*.f64 12 (pow.f64 b 2)) 1)
(-.f64 (*.f64 12 (pow.f64 b 2)) 1)
(-.f64 (*.f64 12 (pow.f64 b 2)) 1)

Outputs
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
-1
(-.f64 (*.f64 12 (pow.f64 b 2)) 1)
(fma.f64 12 (*.f64 b b) -1)
(-.f64 (*.f64 12 (pow.f64 b 2)) 1)
(fma.f64 12 (*.f64 b b) -1)
(-.f64 (*.f64 12 (pow.f64 b 2)) 1)
(fma.f64 12 (*.f64 b b) -1)
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(-.f64 (*.f64 12 (pow.f64 b 2)) 1)
(fma.f64 12 (*.f64 b b) -1)
(-.f64 (*.f64 12 (pow.f64 b 2)) 1)
(fma.f64 12 (*.f64 b b) -1)
(-.f64 (*.f64 12 (pow.f64 b 2)) 1)
(fma.f64 12 (*.f64 b b) -1)
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(-.f64 (*.f64 12 (pow.f64 b 2)) 1)
(fma.f64 12 (*.f64 b b) -1)
(-.f64 (*.f64 12 (pow.f64 b 2)) 1)
(fma.f64 12 (*.f64 b b) -1)
(-.f64 (*.f64 12 (pow.f64 b 2)) 1)
(fma.f64 12 (*.f64 b b) -1)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(.f64 (.f64 a a) (+.f64 4 (*.f64 -4 a)))
	0.0b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 -4 a))) 1)
✓	0.0b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 -4 a))) 1)
✓	0.1b	(.f64 (.f64 a a) (+.f64 4 (*.f64 -4 a)))

Compiler

Compiled 37 to 24 computations (35.1% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 -4 a))) 1)
1.0ms	a	@	0	(.f64 (.f64 a a) (+.f64 4 (*.f64 -4 a)))
0.0ms	a	@	inf	(.f64 (.f64 a a) (+.f64 4 (*.f64 -4 a)))
0.0ms	a	@	inf	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 -4 a))) 1)
0.0ms	a	@	-inf	(.f64 (.f64 a a) (+.f64 4 (*.f64 -4 a)))

rewrite60.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

679×	`prod-diff_binary64`
476×	`log-prod_binary64`
330×	`pow-prod-down_binary64`
326×	`fma-def_binary64`
262×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	225	23
2	2919	23

Stop Event

1×	node limit

Counts

2 → 124

Calls

Call 1

Inputs
(.f64 (.f64 a a) (+.f64 4 (*.f64 -4 a)))
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 -4 a))) 1)

Outputs

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

simplify69.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

571×	`fma-neg_binary64`
536×	`unswap-sqr_binary64`
503×	`distribute-rgt-neg-in_binary64`
489×	`fma-def_binary64`
445×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	300
1	38	288
2	78	277
3	206	237
4	504	237
5	1880	237
6	5083	237
7	7531	237

Stop Event

1×	node limit

Counts

148 → 133

Calls

Call 1

Inputs
(*.f64 4 (pow.f64 a 2))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(*.f64 -4 (pow.f64 a 3))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(*.f64 -4 (pow.f64 a 3))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
-1
(-.f64 (*.f64 4 (pow.f64 a 2)) 1)
(-.f64 (+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3))) 1)
(-.f64 (+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3))) 1)
(*.f64 -4 (pow.f64 a 3))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(-.f64 (+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3))) 1)
(-.f64 (+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3))) 1)
(*.f64 -4 (pow.f64 a 3))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(-.f64 (+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3))) 1)
(-.f64 (+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3))) 1)

Outputs
(*.f64 4 (pow.f64 a 2))
(.f64 4 (.f64 a a))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(fma.f64 4 (.f64 a a) (.f64 -4 (pow.f64 a 3)))
(.f64 (.f64 a a) (+.f64 (*.f64 a -4) 4))
(.f64 (.f64 a a) (fma.f64 a -4 4))
(.f64 a (.f64 a (fma.f64 a -4 4)))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(fma.f64 4 (.f64 a a) (.f64 -4 (pow.f64 a 3)))
(.f64 (.f64 a a) (+.f64 (*.f64 a -4) 4))
(.f64 (.f64 a a) (fma.f64 a -4 4))
(.f64 a (.f64 a (fma.f64 a -4 4)))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(fma.f64 4 (.f64 a a) (.f64 -4 (pow.f64 a 3)))
(.f64 (.f64 a a) (+.f64 (*.f64 a -4) 4))
(.f64 (.f64 a a) (fma.f64 a -4 4))
(.f64 a (.f64 a (fma.f64 a -4 4)))
(*.f64 -4 (pow.f64 a 3))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(fma.f64 4 (.f64 a a) (.f64 -4 (pow.f64 a 3)))
(.f64 (.f64 a a) (+.f64 (*.f64 a -4) 4))
(.f64 (.f64 a a) (fma.f64 a -4 4))
(.f64 a (.f64 a (fma.f64 a -4 4)))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(fma.f64 4 (.f64 a a) (.f64 -4 (pow.f64 a 3)))
(.f64 (.f64 a a) (+.f64 (*.f64 a -4) 4))
(.f64 (.f64 a a) (fma.f64 a -4 4))
(.f64 a (.f64 a (fma.f64 a -4 4)))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(fma.f64 4 (.f64 a a) (.f64 -4 (pow.f64 a 3)))
(.f64 (.f64 a a) (+.f64 (*.f64 a -4) 4))
(.f64 (.f64 a a) (fma.f64 a -4 4))
(.f64 a (.f64 a (fma.f64 a -4 4)))
(*.f64 -4 (pow.f64 a 3))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(fma.f64 4 (.f64 a a) (.f64 -4 (pow.f64 a 3)))
(.f64 (.f64 a a) (+.f64 (*.f64 a -4) 4))
(.f64 (.f64 a a) (fma.f64 a -4 4))
(.f64 a (.f64 a (fma.f64 a -4 4)))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(fma.f64 4 (.f64 a a) (.f64 -4 (pow.f64 a 3)))
(.f64 (.f64 a a) (+.f64 (*.f64 a -4) 4))
(.f64 (.f64 a a) (fma.f64 a -4 4))
(.f64 a (.f64 a (fma.f64 a -4 4)))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(fma.f64 4 (.f64 a a) (.f64 -4 (pow.f64 a 3)))
(.f64 (.f64 a a) (+.f64 (*.f64 a -4) 4))
(.f64 (.f64 a a) (fma.f64 a -4 4))
(.f64 a (.f64 a (fma.f64 a -4 4)))
-1
(-.f64 (*.f64 4 (pow.f64 a 2)) 1)
(fma.f64 4 (*.f64 a a) -1)
(-.f64 (+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3))) 1)
(+.f64 (fma.f64 4 (.f64 a a) (.f64 -4 (pow.f64 a 3))) -1)
(fma.f64 4 (*.f64 a a) (fma.f64 -4 (pow.f64 a 3) -1))
(fma.f64 (*.f64 a a) (fma.f64 a -4 4) -1)
(fma.f64 a (*.f64 a (fma.f64 a -4 4)) -1)
(-.f64 (+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3))) 1)
(+.f64 (fma.f64 4 (.f64 a a) (.f64 -4 (pow.f64 a 3))) -1)
(fma.f64 4 (*.f64 a a) (fma.f64 -4 (pow.f64 a 3) -1))
(fma.f64 (*.f64 a a) (fma.f64 a -4 4) -1)
(fma.f64 a (*.f64 a (fma.f64 a -4 4)) -1)
(*.f64 -4 (pow.f64 a 3))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(fma.f64 4 (.f64 a a) (.f64 -4 (pow.f64 a 3)))
(.f64 (.f64 a a) (+.f64 (*.f64 a -4) 4))
(.f64 (.f64 a a) (fma.f64 a -4 4))
(.f64 a (.f64 a (fma.f64 a -4 4)))
(-.f64 (+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3))) 1)
(+.f64 (fma.f64 4 (.f64 a a) (.f64 -4 (pow.f64 a 3))) -1)
(fma.f64 4 (*.f64 a a) (fma.f64 -4 (pow.f64 a 3) -1))
(fma.f64 (*.f64 a a) (fma.f64 a -4 4) -1)
(fma.f64 a (*.f64 a (fma.f64 a -4 4)) -1)
(-.f64 (+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3))) 1)
(+.f64 (fma.f64 4 (.f64 a a) (.f64 -4 (pow.f64 a 3))) -1)
(fma.f64 4 (*.f64 a a) (fma.f64 -4 (pow.f64 a 3) -1))
(fma.f64 (*.f64 a a) (fma.f64 a -4 4) -1)
(fma.f64 a (*.f64 a (fma.f64 a -4 4)) -1)
(*.f64 -4 (pow.f64 a 3))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(fma.f64 4 (.f64 a a) (.f64 -4 (pow.f64 a 3)))
(.f64 (.f64 a a) (+.f64 (*.f64 a -4) 4))
(.f64 (.f64 a a) (fma.f64 a -4 4))
(.f64 a (.f64 a (fma.f64 a -4 4)))
(-.f64 (+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3))) 1)
(+.f64 (fma.f64 4 (.f64 a a) (.f64 -4 (pow.f64 a 3))) -1)
(fma.f64 4 (*.f64 a a) (fma.f64 -4 (pow.f64 a 3) -1))
(fma.f64 (*.f64 a a) (fma.f64 a -4 4) -1)
(fma.f64 a (*.f64 a (fma.f64 a -4 4)) -1)
(-.f64 (+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3))) 1)
(+.f64 (fma.f64 4 (.f64 a a) (.f64 -4 (pow.f64 a 3))) -1)
(fma.f64 4 (*.f64 a a) (fma.f64 -4 (pow.f64 a 3) -1))
(fma.f64 (*.f64 a a) (fma.f64 a -4 4) -1)
(fma.f64 a (*.f64 a (fma.f64 a -4 4)) -1)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (pow.f64 a 3) (+.f64 -4 a))
✓	0.1b	(*.f64 (pow.f64 a 3) (+.f64 -4 a))

Compiler

Compiled 18 to 13 computations (27.8% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(*.f64 (pow.f64 a 3) (+.f64 -4 a))
0.0ms	a	@	inf	(*.f64 (pow.f64 a 3) (+.f64 -4 a))
0.0ms	a	@	-inf	(*.f64 (pow.f64 a 3) (+.f64 -4 a))

rewrite48.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

781×	`pow1_binary64`
736×	`add-log-exp_binary64`
736×	`log1p-expm1-u_binary64`
736×	`expm1-log1p-u_binary64`
722×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	164	10
2	2001	10

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

Inputs
(*.f64 (pow.f64 a 3) (+.f64 -4 a))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 a 3) -4) (pow.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 a 4) (*.f64 (pow.f64 a 3) -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 a 3) -4) 1) (*.f64 (pow.f64 a 4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 a 3) (+.f64 a -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 a 3) -4) 3) (pow.f64 (pow.f64 a 4) 3)) (+.f64 (*.f64 (*.f64 (pow.f64 a 3) -4) (*.f64 (pow.f64 a 3) -4)) (-.f64 (*.f64 (pow.f64 a 4) (pow.f64 a 4)) (*.f64 (*.f64 (pow.f64 a 3) -4) (pow.f64 a 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (pow.f64 a 3) -4) (*.f64 (pow.f64 a 3) -4)) (*.f64 (pow.f64 a 4) (pow.f64 a 4))) (-.f64 (*.f64 (pow.f64 a 3) -4) (pow.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 a 3) -64) (pow.f64 a 3)) (+.f64 16 (*.f64 a (-.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 16 (*.f64 a a)) (pow.f64 a 3)) (-.f64 -4 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 a 3) (+.f64 (pow.f64 a 3) -64)) (+.f64 16 (*.f64 a (-.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 a 3) (-.f64 16 (*.f64 a a))) (-.f64 -4 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 a 3) (+.f64 a -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 a 3) (+.f64 a -4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (cbrt.f64 (+.f64 a -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (+.f64 a -4)) (pow.f64 a 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (+.f64 a -4) 2) (pow.f64 a 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 a -4)) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 a 3) (+.f64 a -4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 a 3) 3) (pow.f64 (+.f64 a -4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 a -4) 3) (pow.f64 (pow.f64 a 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 a 3) (+.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a 3) -4 (pow.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 a 3) (+.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 a 3) (+.f64 a -4))))))))

simplify132.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1088×	`sqr-pow_binary64`
592×	`pow-sqr_binary64`
563×	`fabs-mul_binary64`
542×	`cube-prod_binary64`
528×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	114
1	23	114
2	49	114
3	101	105
4	237	105
5	851	105
6	1955	105
7	2368	105
8	2528	105
9	2710	105
10	2950	105
11	3261	105
12	3647	105
13	4128	105
14	4755	105
15	5559	105
16	5961	105
17	6323	105
18	6613	105
19	6849	105
20	7001	105

Stop Event

1×	node limit

Counts

36 → 28

Calls

Call 1

Inputs
(*.f64 -4 (pow.f64 a 3))
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(pow.f64 a 4)
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(pow.f64 a 4)
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))

Outputs
(*.f64 -4 (pow.f64 a 3))
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4))
(*.f64 (pow.f64 a 3) (+.f64 -4 a))
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4))
(*.f64 (pow.f64 a 3) (+.f64 -4 a))
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4))
(*.f64 (pow.f64 a 3) (+.f64 -4 a))
(pow.f64 a 4)
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4))
(*.f64 (pow.f64 a 3) (+.f64 -4 a))
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4))
(*.f64 (pow.f64 a 3) (+.f64 -4 a))
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4))
(*.f64 (pow.f64 a 3) (+.f64 -4 a))
(pow.f64 a 4)
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4))
(*.f64 (pow.f64 a 3) (+.f64 -4 a))
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4))
(*.f64 (pow.f64 a 3) (+.f64 -4 a))
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4))
(*.f64 (pow.f64 a 3) (+.f64 -4 a))

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (+.f64 a -4) (pow.f64 a 3))
	0.0b	(+.f64 (.f64 a (.f64 a 4)) (*.f64 (+.f64 a -4) (pow.f64 a 3)))
✓	0.0b	(+.f64 (.f64 a (.f64 a 4)) (*.f64 (+.f64 a -4) (pow.f64 a 3)))
✓	0.1b	(*.f64 (+.f64 a -4) (pow.f64 a 3))

Compiler

Compiled 56 to 40 computations (28.6% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	a	@	inf	(+.f64 (.f64 a (.f64 a 4)) (*.f64 (+.f64 a -4) (pow.f64 a 3)))
0.0ms	a	@	0	(*.f64 (+.f64 a -4) (pow.f64 a 3))
0.0ms	a	@	0	(+.f64 (.f64 a (.f64 a 4)) (*.f64 (+.f64 a -4) (pow.f64 a 3)))
0.0ms	a	@	-inf	(+.f64 (.f64 a (.f64 a 4)) (*.f64 (+.f64 a -4) (pow.f64 a 3)))
0.0ms	a	@	inf	(*.f64 (+.f64 a -4) (pow.f64 a 3))

rewrite63.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

542×	`log-prod_binary64`
441×	`fma-def_binary64`
384×	`pow-prod-down_binary64`
294×	`pow2_binary64`
223×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	250	27
2	3127	27

Stop Event

1×	node limit

Counts

2 → 107

Calls

Call 1

Inputs
(*.f64 (+.f64 a -4) (pow.f64 a 3))
(+.f64 (.f64 a (.f64 a 4)) (*.f64 (+.f64 a -4) (pow.f64 a 3)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 a -4) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 a 4) (*.f64 -4 (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 a 4) (*.f64 (pow.f64 a 3) -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 a 3) -4) (pow.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a -4)) (pow.f64 a 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a -4)) (pow.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 a -4)) (pow.f64 a 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 a -4)) (pow.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a -4) (pow.f64 a 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 a 3) -64) (pow.f64 a 3)) (-.f64 (fma.f64 a a 16) (*.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 a a -16) (pow.f64 a 3)) (+.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 a 3) (+.f64 (pow.f64 a 3) -64)) (-.f64 (fma.f64 a a 16) (*.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 a 3) (fma.f64 a a -16)) (+.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 a -4) (pow.f64 a 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (cbrt.f64 (+.f64 a -4))) 6) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (cbrt.f64 (+.f64 a -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (+.f64 a -4)) (pow.f64 a 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (cbrt.f64 (+.f64 a -4))) 9) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a (cbrt.f64 (+.f64 a -4))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 a -4)) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -4) (pow.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (cbrt.f64 (+.f64 a -4))) 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 a -4) (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (pow.f64 a 3) (*.f64 -4 (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a 3) a (*.f64 (pow.f64 a 3) -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a 3) -4 (pow.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 3 (log.f64 a) (log.f64 (+.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 3 (log.f64 a) (log.f64 (+.f64 a -4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (cbrt.f64 (+.f64 a -4)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 a -4)) (pow.f64 a 3/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 a (cbrt.f64 (+.f64 a -4))) 9)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 a -4) (pow.f64 a 3))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 a (*.f64 a 4) (*.f64 (+.f64 a -4) (pow.f64 a 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 a 4) 16) (-.f64 (*.f64 a (*.f64 a 4)) (*.f64 (+.f64 a -4) (pow.f64 a 3)))) (/.f64 (pow.f64 (*.f64 a (cbrt.f64 (+.f64 a -4))) 6) (-.f64 (*.f64 a (*.f64 a 4)) (*.f64 (+.f64 a -4) (pow.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 a (*.f64 a 4) (*.f64 (+.f64 a -4) (pow.f64 a 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 a (*.f64 a 4) (*.f64 (+.f64 a -4) (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 a (*.f64 a 4) (*.f64 (+.f64 a -4) (pow.f64 a 3)))) (pow.f64 (cbrt.f64 (fma.f64 a (*.f64 a 4) (*.f64 (+.f64 a -4) (pow.f64 a 3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 a (*.f64 a 4) (*.f64 (+.f64 a -4) (pow.f64 a 3)))) 2) (cbrt.f64 (fma.f64 a (*.f64 a 4) (*.f64 (+.f64 a -4) (pow.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (*.f64 a 2) (*.f64 (sqrt.f64 (+.f64 a -4)) (pow.f64 a 3/2))) (hypot.f64 (*.f64 a 2) (*.f64 (sqrt.f64 (+.f64 a -4)) (pow.f64 a 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 a 6) 64 (pow.f64 (*.f64 a (cbrt.f64 (+.f64 a -4))) 9)) (/.f64 1 (fma.f64 (*.f64 (+.f64 a -4) (pow.f64 a 3)) (-.f64 (*.f64 (+.f64 a -4) (pow.f64 a 3)) (*.f64 a (*.f64 a 4))) (*.f64 (pow.f64 a 4) 16))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 a 4) 16) (pow.f64 (*.f64 a (cbrt.f64 (+.f64 a -4))) 6)) (/.f64 1 (-.f64 (*.f64 a (*.f64 a 4)) (*.f64 (+.f64 a -4) (pow.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 (+.f64 a -4) (pow.f64 a 3)) (-.f64 (*.f64 (+.f64 a -4) (pow.f64 a 3)) (*.f64 a (*.f64 a 4))) (*.f64 (pow.f64 a 4) 16)) (fma.f64 (pow.f64 a 6) 64 (pow.f64 (*.f64 a (cbrt.f64 (+.f64 a -4))) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 a (*.f64 a 4)) (*.f64 (+.f64 a -4) (pow.f64 a 3))) (-.f64 (*.f64 (pow.f64 a 4) 16) (pow.f64 (*.f64 a (cbrt.f64 (+.f64 a -4))) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 a 6) 64 (pow.f64 (*.f64 a (cbrt.f64 (+.f64 a -4))) 9)) (fma.f64 (*.f64 (+.f64 a -4) (pow.f64 a 3)) (-.f64 (*.f64 (+.f64 a -4) (pow.f64 a 3)) (*.f64 a (*.f64 a 4))) (*.f64 (pow.f64 a 4) 16)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 a 6) 64 (pow.f64 (*.f64 a (cbrt.f64 (+.f64 a -4))) 9)) (fma.f64 (pow.f64 a 6) (pow.f64 (+.f64 a -4) 2) (-.f64 (*.f64 (pow.f64 a 4) 16) (*.f64 (*.f64 (+.f64 a -4) (pow.f64 a 3)) (*.f64 a (*.f64 a 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 a 4) 16) (pow.f64 (*.f64 a (cbrt.f64 (+.f64 a -4))) 6)) (-.f64 (*.f64 a (*.f64 a 4)) (*.f64 (+.f64 a -4) (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 a 6) 64 (pow.f64 (*.f64 a (cbrt.f64 (+.f64 a -4))) 9))) (neg.f64 (fma.f64 (*.f64 (+.f64 a -4) (pow.f64 a 3)) (-.f64 (*.f64 (+.f64 a -4) (pow.f64 a 3)) (*.f64 a (*.f64 a 4))) (*.f64 (pow.f64 a 4) 16))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 a 4) 16) (pow.f64 (*.f64 a (cbrt.f64 (+.f64 a -4))) 6))) (neg.f64 (-.f64 (*.f64 a (*.f64 a 4)) (*.f64 (+.f64 a -4) (pow.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 a (cbrt.f64 (+.f64 a -4))) 6) (*.f64 (pow.f64 a 4) 16)) (-.f64 (*.f64 (+.f64 a -4) (pow.f64 a 3)) (*.f64 a (*.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a (*.f64 a 4) (*.f64 (+.f64 a -4) (pow.f64 a 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a (*.f64 a 4) (*.f64 (+.f64 a -4) (pow.f64 a 3))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a (*.f64 a 4) (*.f64 (+.f64 a -4) (pow.f64 a 3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 a (*.f64 a 4) (*.f64 (+.f64 a -4) (pow.f64 a 3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (*.f64 a 2) (*.f64 (sqrt.f64 (+.f64 a -4)) (pow.f64 a 3/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 (+.f64 a -4) (pow.f64 a 3)) (-.f64 (*.f64 (+.f64 a -4) (pow.f64 a 3)) (*.f64 a (*.f64 a 4))) (*.f64 (pow.f64 a 4) 16)) (fma.f64 (pow.f64 a 6) 64 (pow.f64 (*.f64 a (cbrt.f64 (+.f64 a -4))) 9))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (*.f64 a (*.f64 a 4)) (*.f64 (+.f64 a -4) (pow.f64 a 3))) (-.f64 (*.f64 (pow.f64 a 4) 16) (pow.f64 (*.f64 a (cbrt.f64 (+.f64 a -4))) 6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 a (*.f64 a 4) (*.f64 (+.f64 a -4) (pow.f64 a 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 a (*.f64 a 4) (*.f64 (+.f64 a -4) (pow.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 a (*.f64 a 4) (*.f64 (+.f64 a -4) (pow.f64 a 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -4) (pow.f64 a 3)))) (pow.f64 (exp.f64 4) (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 a -4)) (pow.f64 a 3)) (+.f64 1 (expm1.f64 (*.f64 a (*.f64 a 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -4) (pow.f64 a 3)))) (+.f64 1 (expm1.f64 (*.f64 a (*.f64 a 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 a (*.f64 a 4)))) (pow.f64 (exp.f64 (+.f64 a -4)) (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 4) (*.f64 a a)) (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -4) (pow.f64 a 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 a (*.f64 a 4)))) (+.f64 1 (expm1.f64 (*.f64 (+.f64 a -4) (pow.f64 a 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a (*.f64 a 4) (*.f64 (+.f64 a -4) (pow.f64 a 3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 a (*.f64 a 4) (*.f64 (+.f64 a -4) (pow.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (*.f64 a 4) (*.f64 (+.f64 a -4) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (*.f64 (*.f64 a a) (+.f64 a -4)) (*.f64 a (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 a -4) (pow.f64 a 3) (*.f64 a (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a 3) (+.f64 a -4) (*.f64 a (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 a -4) (pow.f64 a 3)) 1 (*.f64 a (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (*.f64 a a) (*.f64 (+.f64 a -4) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a 4) a (*.f64 (+.f64 a -4) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (*.f64 a 4)) 1 (*.f64 (+.f64 a -4) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (+.f64 a -4) (pow.f64 a 3)) (*.f64 a (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 a (*.f64 a 4)) (*.f64 (+.f64 a -4) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a a) 4 (*.f64 (+.f64 a -4) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a a) (*.f64 a (+.f64 a -4)) (*.f64 a (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 a a)) (*.f64 (cbrt.f64 a) (*.f64 a 4)) (*.f64 (+.f64 a -4) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 a 4)) 2) (*.f64 (cbrt.f64 (*.f64 a 4)) a) (*.f64 (+.f64 a -4) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 a 2)) 2) (cbrt.f64 (*.f64 (pow.f64 a 4) 16)) (*.f64 (+.f64 a -4) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 a 4) 16)) (pow.f64 (cbrt.f64 (*.f64 a 2)) 2) (*.f64 (+.f64 a -4) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (cbrt.f64 (+.f64 a -4))) (pow.f64 (*.f64 a (cbrt.f64 (+.f64 a -4))) 2) (*.f64 a (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 a (cbrt.f64 (+.f64 a -4))) 2) (*.f64 a (cbrt.f64 (+.f64 a -4))) (*.f64 a (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -4)) 2) (*.f64 (cbrt.f64 (+.f64 a -4)) (pow.f64 a 3)) (*.f64 a (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (*.f64 a 4)) (*.f64 (+.f64 a -4) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (sqrt.f64 a)) (*.f64 (*.f64 2 (sqrt.f64 a)) a) (*.f64 (+.f64 a -4) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a 2) (*.f64 a 2) (*.f64 (+.f64 a -4) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (+.f64 a -4)) (pow.f64 a 3/2)) (*.f64 (sqrt.f64 (+.f64 a -4)) (pow.f64 a 3/2)) (*.f64 a (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 a -4)) (*.f64 (sqrt.f64 (+.f64 a -4)) (pow.f64 a 3)) (*.f64 a (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a 3/2) (*.f64 (pow.f64 a 3/2) (+.f64 a -4)) (*.f64 a (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 a -4) a) (*.f64 a a) (*.f64 a (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (pow.f64 (cbrt.f64 (*.f64 a 4)) 2)) (cbrt.f64 (*.f64 a 4)) (*.f64 (+.f64 a -4) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (*.f64 2 (sqrt.f64 a))) (*.f64 2 (sqrt.f64 a)) (*.f64 (+.f64 a -4) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a 4) (cbrt.f64 (*.f64 a a))) (cbrt.f64 a) (*.f64 (+.f64 a -4) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a 4) (sqrt.f64 a)) (sqrt.f64 a) (*.f64 (+.f64 a -4) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 a -4) (*.f64 a a)) a (*.f64 a (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 a -4) (pow.f64 a 3/2)) (pow.f64 a 3/2) (*.f64 a (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 a 3) (pow.f64 (cbrt.f64 (+.f64 a -4)) 2)) (cbrt.f64 (+.f64 a -4)) (*.f64 a (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 a 3) (sqrt.f64 (+.f64 a -4))) (sqrt.f64 (+.f64 a -4)) (*.f64 a (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 a (*.f64 a 4) (*.f64 (+.f64 a -4) (pow.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 a (*.f64 a 4) (*.f64 (+.f64 a -4) (pow.f64 a 3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 a (*.f64 a 4) (*.f64 (+.f64 a -4) (pow.f64 a 3))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 a (*.f64 a 4) (*.f64 (+.f64 a -4) (pow.f64 a 3))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 (*.f64 a 2) (*.f64 (sqrt.f64 (+.f64 a -4)) (pow.f64 a 3/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 a (*.f64 a 4) (*.f64 (+.f64 a -4) (pow.f64 a 3)))))))))

simplify108.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

643×	`associate-r_binary64`
590×	`distribute-rgt-in_binary64`
556×	`distribute-lft-in_binary64`
497×	`sqr-pow_binary64`
465×	`fma-def_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	14	273
1	37	273
2	81	255
3	268	241
4	831	235
5	2761	235
6	2966	235
7	3211	235
8	3924	235
9	6537	235
10	6911	235
11	7401	235
12	7985	235

Stop Event

1×	node limit

Counts

131 → 116

Calls

Call 1

Inputs
(*.f64 -4 (pow.f64 a 3))
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(pow.f64 a 4)
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(pow.f64 a 4)
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(*.f64 4 (pow.f64 a 2))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (pow.f64 a 4)))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (pow.f64 a 4)))
(pow.f64 a 4)
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (pow.f64 a 4)))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (pow.f64 a 4)))
(pow.f64 a 4)
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (pow.f64 a 4)))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (pow.f64 a 4)))

Outputs
(*.f64 -4 (pow.f64 a 3))
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4))
(*.f64 (pow.f64 a 3) (+.f64 -4 a))
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4))
(*.f64 (pow.f64 a 3) (+.f64 -4 a))
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4))
(*.f64 (pow.f64 a 3) (+.f64 -4 a))
(pow.f64 a 4)
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4))
(*.f64 (pow.f64 a 3) (+.f64 -4 a))
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4))
(*.f64 (pow.f64 a 3) (+.f64 -4 a))
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4))
(*.f64 (pow.f64 a 3) (+.f64 -4 a))
(pow.f64 a 4)
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4))
(*.f64 (pow.f64 a 3) (+.f64 -4 a))
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4))
(*.f64 (pow.f64 a 3) (+.f64 -4 a))
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4))
(*.f64 (pow.f64 a 3) (+.f64 -4 a))
(*.f64 4 (pow.f64 a 2))
(.f64 4 (.f64 a a))
(.f64 a (.f64 a 4))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(fma.f64 4 (.f64 a a) (.f64 -4 (pow.f64 a 3)))
(fma.f64 -4 (pow.f64 a 3) (.f64 4 (.f64 a a)))
(.f64 (.f64 a a) (+.f64 (*.f64 -4 a) 4))
(.f64 a (.f64 a (fma.f64 -4 a 4)))
(.f64 (.f64 a a) (fma.f64 -4 a 4))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (pow.f64 a 4)))
(fma.f64 4 (*.f64 a a) (fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4)))
(fma.f64 a (.f64 a 4) (.f64 (pow.f64 a 3) (+.f64 -4 a)))
(fma.f64 a (*.f64 a (fma.f64 -4 a 4)) (pow.f64 a 4))
(.f64 (.f64 a a) (fma.f64 a (+.f64 -4 a) 4))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (pow.f64 a 4)))
(fma.f64 4 (*.f64 a a) (fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4)))
(fma.f64 a (.f64 a 4) (.f64 (pow.f64 a 3) (+.f64 -4 a)))
(fma.f64 a (*.f64 a (fma.f64 -4 a 4)) (pow.f64 a 4))
(.f64 (.f64 a a) (fma.f64 a (+.f64 -4 a) 4))
(pow.f64 a 4)
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4))
(*.f64 (pow.f64 a 3) (+.f64 -4 a))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (pow.f64 a 4)))
(fma.f64 4 (*.f64 a a) (fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4)))
(fma.f64 a (.f64 a 4) (.f64 (pow.f64 a 3) (+.f64 -4 a)))
(fma.f64 a (*.f64 a (fma.f64 -4 a 4)) (pow.f64 a 4))
(.f64 (.f64 a a) (fma.f64 a (+.f64 -4 a) 4))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (pow.f64 a 4)))
(fma.f64 4 (*.f64 a a) (fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4)))
(fma.f64 a (.f64 a 4) (.f64 (pow.f64 a 3) (+.f64 -4 a)))
(fma.f64 a (*.f64 a (fma.f64 -4 a 4)) (pow.f64 a 4))
(.f64 (.f64 a a) (fma.f64 a (+.f64 -4 a) 4))
(pow.f64 a 4)
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4))
(*.f64 (pow.f64 a 3) (+.f64 -4 a))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (pow.f64 a 4)))
(fma.f64 4 (*.f64 a a) (fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4)))
(fma.f64 a (.f64 a 4) (.f64 (pow.f64 a 3) (+.f64 -4 a)))
(fma.f64 a (*.f64 a (fma.f64 -4 a 4)) (pow.f64 a 4))
(.f64 (.f64 a a) (fma.f64 a (+.f64 -4 a) 4))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (pow.f64 a 4)))
(fma.f64 4 (*.f64 a a) (fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4)))
(fma.f64 a (.f64 a 4) (.f64 (pow.f64 a 3) (+.f64 -4 a)))
(fma.f64 a (*.f64 a (fma.f64 -4 a 4)) (pow.f64 a 4))
(.f64 (.f64 a a) (fma.f64 a (+.f64 -4 a) 4))

eval237.0ms (2.9%)

Compiler: Compiled 10787 to 7162 computations (33.6% saved)

prune80.0ms (1%)

Pruning

21 alts after pruning (10 fresh and 11 done)

	Pruned	Kept	Total
New	519	2	521
Fresh	1	8	9
Picked	0	1	1
Done	1	10	11
Total	521	21	542

Error

Counts

542 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	13.2b	(-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (*.f64 2 a))))) 1)
✓	0.2b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 b (*.f64 b 3))))) 1)
✓	24.0b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 -4 a))) 1)
✓	53.1b	(pow.f64 a 4)
	24.7b	-1
	3.4b	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (+.f64 (.f64 b (.f64 b a)) (*.f64 a a)) -1))
	51.9b	(.f64 (.f64 a a) (+.f64 (fma.f64 b (.f64 b 2) 4) (.f64 a (+.f64 -4 a))))
✓	52.2b	(*.f64 (pow.f64 a 3) (+.f64 -4 a))
✓	13.3b	(-.f64 (+.f64 (.f64 a (.f64 a 4)) (*.f64 (+.f64 a -4) (pow.f64 a 3))) 1)
✓	11.8b	(-.f64 (.f64 b (.f64 b (fma.f64 b b 12))) 1)
	3.5b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 a a))) 1)
✓	23.8b	(-.f64 (.f64 4 (.f64 a a)) 1)
	13.4b	(-.f64 (.f64 a (.f64 a (fma.f64 a (+.f64 -4 a) 4))) 1)
✓	23.7b	(-.f64 (.f64 b (.f64 12 b)) 1)
✓	13.4b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
✓	50.7b	(pow.f64 b 4)
	23.7b	(-.f64 (.f64 12 (.f64 b b)) 1)
	11.8b	(-.f64 (+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 12 (*.f64 b b))) 1)
	11.8b	(-.f64 (.f64 b (+.f64 (pow.f64 b 3) (.f64 b 12))) 1)
✓	13.3b	(-.f64 (fma.f64 (.f64 (.f64 a a) (+.f64 a -4)) a (.f64 a (.f64 a 4))) 1)
	15.3b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)

Compiler

Compiled 294 to 205 computations (30.3% saved)

regimes116.0ms (1.4%)

Counts

37 → 1

Calls

Call 1

Inputs
-1
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 b (.f64 12 b)) 1)
(-.f64 (.f64 4 (.f64 a a)) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 -4 a))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
(-.f64 (+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 12 (*.f64 b b))) 1)
(-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (*.f64 2 a))))) 1)
(pow.f64 a 4)
(pow.f64 b 4)
(pow.f64 a 4)
(-.f64 (pow.f64 b 4) 1)
(*.f64 (pow.f64 a 3) (+.f64 -4 a))
(-.f64 (.f64 b (.f64 b (fma.f64 b b 12))) 1)
(-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1)
(-.f64 (.f64 b (+.f64 (pow.f64 b 3) (.f64 b 12))) 1)
(-.f64 (+.f64 (pow.f64 b 4) (.f64 12 (.f64 b b))) 1)
(-.f64 (.f64 a (.f64 a (fma.f64 a (+.f64 -4 a) 4))) 1)
(-.f64 (+.f64 0 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4)))) 1)
(-.f64 (+.f64 (.f64 a (.f64 a 4)) (*.f64 (+.f64 a -4) (pow.f64 a 3))) 1)
(-.f64 (fma.f64 (.f64 (.f64 a a) (+.f64 a -4)) a (.f64 a (.f64 a 4))) 1)
(.f64 (.f64 a a) (+.f64 (fma.f64 b (.f64 b 2) 4) (.f64 a (+.f64 -4 a))))
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 a a))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 a a) (.f64 b (.f64 b 3))))) 1)
(-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (pow.f64 b 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 b (*.f64 b 3))))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(fma.f64 b (*.f64 b (fma.f64 b b 12)) -1)
(-.f64 (+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (pow.f64 a 4)) 1)
(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (+.f64 (.f64 b (.f64 b a)) (*.f64 a a)) -1))
(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (+.f64 (.f64 (+.f64 a 3) (.f64 b b)) (*.f64 a a)) -1))
(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (+.f64 (.f64 (+.f64 a 3) (.f64 b b)) (.f64 a (-.f64 a (.f64 a a)))) -1))
(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a (-.f64 a (.f64 a a)) (.f64 b (*.f64 b (+.f64 a 3)))) -1))

Outputs
(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (+.f64 (.f64 (+.f64 a 3) (.f64 b b)) (.f64 a (-.f64 a (.f64 a a)))) -1))

Calls

8 calls:

18.0ms	a
17.0ms	b
13.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
13.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
12.0ms	(*.f64 b b)

Results

Error	Segments	Branch
0.0b	1	`a`
0.0b	1	`b`
0.0b	1	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)`
0.0b	1	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)`
0.0b	1	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))`
0.0b	1	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))`
0.0b	1	`(*.f64 b b)`
0.0b	1	`(*.f64 b b)`

Compiler

Compiled 654 to 378 computations (42.2% saved)

regimes78.0ms (1%)

Counts

35 → 1

Calls

Call 1

Inputs
-1
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 b (.f64 12 b)) 1)
(-.f64 (.f64 4 (.f64 a a)) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 -4 a))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
(-.f64 (+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 12 (*.f64 b b))) 1)
(-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (*.f64 2 a))))) 1)
(pow.f64 a 4)
(pow.f64 b 4)
(pow.f64 a 4)
(-.f64 (pow.f64 b 4) 1)
(*.f64 (pow.f64 a 3) (+.f64 -4 a))
(-.f64 (.f64 b (.f64 b (fma.f64 b b 12))) 1)
(-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1)
(-.f64 (.f64 b (+.f64 (pow.f64 b 3) (.f64 b 12))) 1)
(-.f64 (+.f64 (pow.f64 b 4) (.f64 12 (.f64 b b))) 1)
(-.f64 (.f64 a (.f64 a (fma.f64 a (+.f64 -4 a) 4))) 1)
(-.f64 (+.f64 0 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4)))) 1)
(-.f64 (+.f64 (.f64 a (.f64 a 4)) (*.f64 (+.f64 a -4) (pow.f64 a 3))) 1)
(-.f64 (fma.f64 (.f64 (.f64 a a) (+.f64 a -4)) a (.f64 a (.f64 a 4))) 1)
(.f64 (.f64 a a) (+.f64 (fma.f64 b (.f64 b 2) 4) (.f64 a (+.f64 -4 a))))
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 a a))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 a a) (.f64 b (.f64 b 3))))) 1)
(-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (pow.f64 b 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 b (*.f64 b 3))))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(fma.f64 b (*.f64 b (fma.f64 b b 12)) -1)
(-.f64 (+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (pow.f64 a 4)) 1)
(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (+.f64 (.f64 b (.f64 b a)) (*.f64 a a)) -1))
(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (+.f64 (.f64 (+.f64 a 3) (.f64 b b)) (*.f64 a a)) -1))

Outputs
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)

Calls

5 calls:

17.0ms	b
17.0ms	a
13.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
10.0ms	(*.f64 b b)
7.0ms	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)

Results

Error	Segments	Branch
0.2b	1	`a`
0.2b	1	`b`
0.2b	1	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)`
0.2b	1	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))`
0.2b	1	`(*.f64 b b)`

Compiler

Compiled 542 to 316 computations (41.7% saved)

regimes59.0ms (0.7%)

Counts

30 → 1

Calls

Call 1

Inputs
-1
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 b (.f64 12 b)) 1)
(-.f64 (.f64 4 (.f64 a a)) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 -4 a))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
(-.f64 (+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 12 (*.f64 b b))) 1)
(-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (*.f64 2 a))))) 1)
(pow.f64 a 4)
(pow.f64 b 4)
(pow.f64 a 4)
(-.f64 (pow.f64 b 4) 1)
(*.f64 (pow.f64 a 3) (+.f64 -4 a))
(-.f64 (.f64 b (.f64 b (fma.f64 b b 12))) 1)
(-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1)
(-.f64 (.f64 b (+.f64 (pow.f64 b 3) (.f64 b 12))) 1)
(-.f64 (+.f64 (pow.f64 b 4) (.f64 12 (.f64 b b))) 1)
(-.f64 (.f64 a (.f64 a (fma.f64 a (+.f64 -4 a) 4))) 1)
(-.f64 (+.f64 0 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4)))) 1)
(-.f64 (+.f64 (.f64 a (.f64 a 4)) (*.f64 (+.f64 a -4) (pow.f64 a 3))) 1)
(-.f64 (fma.f64 (.f64 (.f64 a a) (+.f64 a -4)) a (.f64 a (.f64 a 4))) 1)
(.f64 (.f64 a a) (+.f64 (fma.f64 b (.f64 b 2) 4) (.f64 a (+.f64 -4 a))))
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 a a))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 a a) (.f64 b (.f64 b 3))))) 1)
(-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (pow.f64 b 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 b (*.f64 b 3))))) 1)

Outputs
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 b (*.f64 b 3))))) 1)

Calls

4 calls:

16.0ms	b
15.0ms	a
9.0ms	(*.f64 b b)
8.0ms	(*.f64 b b)

Results

Error	Segments	Branch
0.2b	1	`a`
0.2b	1	`b`
0.2b	1	`(*.f64 b b)`
0.2b	1	`(*.f64 b b)`

Compiler

Compiled 396 to 233 computations (41.2% saved)

regimes119.0ms (1.5%)

Counts

29 → 3

Calls

Call 1

Inputs
-1
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 b (.f64 12 b)) 1)
(-.f64 (.f64 4 (.f64 a a)) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 -4 a))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
(-.f64 (+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 12 (*.f64 b b))) 1)
(-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (*.f64 2 a))))) 1)
(pow.f64 a 4)
(pow.f64 b 4)
(pow.f64 a 4)
(-.f64 (pow.f64 b 4) 1)
(*.f64 (pow.f64 a 3) (+.f64 -4 a))
(-.f64 (.f64 b (.f64 b (fma.f64 b b 12))) 1)
(-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1)
(-.f64 (.f64 b (+.f64 (pow.f64 b 3) (.f64 b 12))) 1)
(-.f64 (+.f64 (pow.f64 b 4) (.f64 12 (.f64 b b))) 1)
(-.f64 (.f64 a (.f64 a (fma.f64 a (+.f64 -4 a) 4))) 1)
(-.f64 (+.f64 0 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4)))) 1)
(-.f64 (+.f64 (.f64 a (.f64 a 4)) (*.f64 (+.f64 a -4) (pow.f64 a 3))) 1)
(-.f64 (fma.f64 (.f64 (.f64 a a) (+.f64 a -4)) a (.f64 a (.f64 a 4))) 1)
(.f64 (.f64 a a) (+.f64 (fma.f64 b (.f64 b 2) 4) (.f64 a (+.f64 -4 a))))
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 a a))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 a a) (.f64 b (.f64 b 3))))) 1)
(-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (pow.f64 b 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a))))) 1)

Outputs

(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (+.f64 (*.f64 a a) (*.f64 b (*.f64 b 3))))) 1)

(-.f64 (+.f64 (*.f64 (*.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) (*.f64 (*.f64 b b) (*.f64 a (+.f64 4 (*.f64 2 a))))) 1)

(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (+.f64 (*.f64 a a) (*.f64 b (*.f64 b 3))))) 1)

Calls

4 calls:

41.0ms	b
39.0ms	a
15.0ms	(*.f64 b b)
14.0ms	(*.f64 b b)

Results

Error	Segments	Branch
0.7b	3	`a`
0.2b	3	`b`
0.3b	2	`(*.f64 b b)`
0.3b	2	`(*.f64 b b)`

Compiler

Compiled 369 to 219 computations (40.7% saved)

bsearch60.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	1.613062509351647e-22	1.5004772159347515e-17
31.0ms	-41274473.30685318	-19.220322595266385

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes103.0ms (1.3%)

Counts

25 → 3

Calls

Call 1

Inputs
-1
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 b (.f64 12 b)) 1)
(-.f64 (.f64 4 (.f64 a a)) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 -4 a))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
(-.f64 (+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 12 (*.f64 b b))) 1)
(-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (*.f64 2 a))))) 1)
(pow.f64 a 4)
(pow.f64 b 4)
(pow.f64 a 4)
(-.f64 (pow.f64 b 4) 1)
(*.f64 (pow.f64 a 3) (+.f64 -4 a))
(-.f64 (.f64 b (.f64 b (fma.f64 b b 12))) 1)
(-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1)
(-.f64 (.f64 b (+.f64 (pow.f64 b 3) (.f64 b 12))) 1)
(-.f64 (+.f64 (pow.f64 b 4) (.f64 12 (.f64 b b))) 1)
(-.f64 (.f64 a (.f64 a (fma.f64 a (+.f64 -4 a) 4))) 1)
(-.f64 (+.f64 0 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4)))) 1)
(-.f64 (+.f64 (.f64 a (.f64 a 4)) (*.f64 (+.f64 a -4) (pow.f64 a 3))) 1)
(-.f64 (fma.f64 (.f64 (.f64 a a) (+.f64 a -4)) a (.f64 a (.f64 a 4))) 1)
(.f64 (.f64 a a) (+.f64 (fma.f64 b (.f64 b 2) 4) (.f64 a (+.f64 -4 a))))
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 a a))) 1)

Outputs

(-.f64 (+.f64 (*.f64 a (*.f64 a 4)) (*.f64 (+.f64 a -4) (pow.f64 a 3))) 1)

(-.f64 (+.f64 (pow.f64 b 4) (*.f64 12 (*.f64 b b))) 1)

(-.f64 (+.f64 (*.f64 (*.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) (*.f64 (*.f64 b b) (*.f64 a (+.f64 4 (*.f64 2 a))))) 1)

Calls

4 calls:

34.0ms	b
34.0ms	a
14.0ms	(*.f64 b b)
12.0ms	(*.f64 b b)

Results

Error	Segments	Branch
0.7b	3	`a`
0.9b	3	`b`
1.5b	2	`(*.f64 b b)`
1.5b	2	`(*.f64 b b)`

Compiler

Compiled 275 to 169 computations (38.5% saved)

bsearch66.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
31.0ms	1.6254641905450022e-33	3.9483198458391945e-33
35.0ms	-0.006932719870971392	-2.725926315905665e-17

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes100.0ms (1.2%)

Counts

21 → 3

Calls

Call 1

Inputs
-1
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 b (.f64 12 b)) 1)
(-.f64 (.f64 4 (.f64 a a)) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 -4 a))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
(-.f64 (+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 12 (*.f64 b b))) 1)
(-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (*.f64 2 a))))) 1)
(pow.f64 a 4)
(pow.f64 b 4)
(pow.f64 a 4)
(-.f64 (pow.f64 b 4) 1)
(*.f64 (pow.f64 a 3) (+.f64 -4 a))
(-.f64 (.f64 b (.f64 b (fma.f64 b b 12))) 1)
(-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1)
(-.f64 (.f64 b (+.f64 (pow.f64 b 3) (.f64 b 12))) 1)
(-.f64 (+.f64 (pow.f64 b 4) (.f64 12 (.f64 b b))) 1)
(-.f64 (.f64 a (.f64 a (fma.f64 a (+.f64 -4 a) 4))) 1)
(-.f64 (+.f64 0 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4)))) 1)

Outputs

(-.f64 (+.f64 (*.f64 (*.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) (*.f64 (*.f64 b b) (*.f64 a (+.f64 4 (*.f64 2 a))))) 1)

(-.f64 (+.f64 (pow.f64 b 4) (*.f64 12 (*.f64 b b))) 1)

(-.f64 (+.f64 (*.f64 (*.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) (*.f64 (*.f64 b b) (*.f64 a (+.f64 4 (*.f64 2 a))))) 1)

Calls

4 calls:

32.0ms	b
31.0ms	a
13.0ms	(*.f64 b b)
12.0ms	(*.f64 b b)

Results

Error	Segments	Branch
0.7b	3	`a`
1.2b	3	`b`
1.5b	2	`(*.f64 b b)`
1.5b	2	`(*.f64 b b)`

Compiler

Compiled 211 to 132 computations (37.4% saved)

bsearch61.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
30.0ms	1.6254641905450022e-33	3.9483198458391945e-33
30.0ms	-0.006932719870971392	-2.725926315905665e-17

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes83.0ms (1%)

Counts

18 → 3

Calls

Call 1

Inputs
-1
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 b (.f64 12 b)) 1)
(-.f64 (.f64 4 (.f64 a a)) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 -4 a))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
(-.f64 (+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 12 (*.f64 b b))) 1)
(-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (*.f64 2 a))))) 1)
(pow.f64 a 4)
(pow.f64 b 4)
(pow.f64 a 4)
(-.f64 (pow.f64 b 4) 1)
(*.f64 (pow.f64 a 3) (+.f64 -4 a))
(-.f64 (.f64 b (.f64 b (fma.f64 b b 12))) 1)
(-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1)
(-.f64 (.f64 b (+.f64 (pow.f64 b 3) (.f64 b 12))) 1)

Outputs

(-.f64 (+.f64 (*.f64 (*.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) (*.f64 (*.f64 b b) (*.f64 a (+.f64 4 (*.f64 2 a))))) 1)

(-.f64 (*.f64 b (+.f64 (pow.f64 b 3) (*.f64 b 12))) 1)

(-.f64 (+.f64 (*.f64 (*.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) (*.f64 (*.f64 b b) (*.f64 a (+.f64 4 (*.f64 2 a))))) 1)

Calls

4 calls:

27.0ms	b
27.0ms	a
11.0ms	(*.f64 b b)
11.0ms	(*.f64 b b)

Results

Error	Segments	Branch
0.7b	3	`a`
1.2b	3	`b`
1.6b	2	`(*.f64 b b)`
1.6b	2	`(*.f64 b b)`

Compiler

Compiled 174 to 107 computations (38.5% saved)

bsearch56.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	1.6254641905450022e-33	3.9483198458391945e-33
28.0ms	-0.006932719870971392	-2.725926315905665e-17

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes73.0ms (0.9%)

Counts

17 → 3

Calls

Call 1

Inputs
-1
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 b (.f64 12 b)) 1)
(-.f64 (.f64 4 (.f64 a a)) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 -4 a))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
(-.f64 (+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 12 (*.f64 b b))) 1)
(-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (*.f64 2 a))))) 1)
(pow.f64 a 4)
(pow.f64 b 4)
(pow.f64 a 4)
(-.f64 (pow.f64 b 4) 1)
(*.f64 (pow.f64 a 3) (+.f64 -4 a))
(-.f64 (.f64 b (.f64 b (fma.f64 b b 12))) 1)
(-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1)

Outputs

(-.f64 (+.f64 (*.f64 (*.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) (*.f64 (*.f64 b b) (*.f64 a (+.f64 4 (*.f64 2 a))))) 1)

(-.f64 (*.f64 b (*.f64 b (fma.f64 b b 12))) 1)

(-.f64 (+.f64 (*.f64 (*.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) (*.f64 (*.f64 b b) (*.f64 a (+.f64 4 (*.f64 2 a))))) 1)

Calls

4 calls:

25.0ms	b
24.0ms	a
9.0ms	(*.f64 b b)
9.0ms	(*.f64 b b)

Results

Error	Segments	Branch
0.7b	3	`a`
1.2b	3	`b`
1.6b	2	`(*.f64 b b)`
1.6b	2	`(*.f64 b b)`

Compiler

Compiled 163 to 99 computations (39.3% saved)

bsearch57.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	1.6254641905450022e-33	3.9483198458391945e-33
29.0ms	-0.006932719870971392	-2.725926315905665e-17

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes61.0ms (0.8%)

Counts

15 → 3

Calls

Call 1

Inputs
-1
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 b (.f64 12 b)) 1)
(-.f64 (.f64 4 (.f64 a a)) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 -4 a))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
(-.f64 (+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 12 (*.f64 b b))) 1)
(-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (*.f64 2 a))))) 1)
(pow.f64 a 4)
(pow.f64 b 4)
(pow.f64 a 4)
(-.f64 (pow.f64 b 4) 1)
(*.f64 (pow.f64 a 3) (+.f64 -4 a))

Outputs

(-.f64 (+.f64 (*.f64 (*.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) (*.f64 (*.f64 b b) (*.f64 a (+.f64 4 (*.f64 2 a))))) 1)

(-.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 12 (*.f64 b b))) 1)

(-.f64 (+.f64 (*.f64 (*.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) (*.f64 (*.f64 b b) (*.f64 a (+.f64 4 (*.f64 2 a))))) 1)

Calls

3 calls:

23.0ms	b
22.0ms	a
9.0ms	(*.f64 b b)

Results

Error	Segments	Branch
0.7b	3	`a`
1.2b	3	`b`
1.6b	2	`(*.f64 b b)`

Compiler

Compiled 138 to 85 computations (38.4% saved)

bsearch56.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	1.6254641905450022e-33	3.9483198458391945e-33
28.0ms	-0.006932719870971392	-2.725926315905665e-17

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes42.0ms (0.5%)

Counts

9 → 3

Calls

Call 1

Inputs
-1
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 b (.f64 12 b)) 1)
(-.f64 (.f64 4 (.f64 a a)) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 -4 a))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
(-.f64 (+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 12 (*.f64 b b))) 1)

Outputs
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
(-.f64 (+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 12 (*.f64 b b))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)

Calls

3 calls:

17.0ms	b
17.0ms	a
6.0ms	(*.f64 b b)

Results

Error	Segments	Branch
0.9b	3	`a`
1.3b	3	`b`
1.6b	2	`(*.f64 b b)`

Compiler

Compiled 92 to 55 computations (40.2% saved)

bsearch61.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
31.0ms	1.6254641905450022e-33	3.9483198458391945e-33
30.0ms	-0.006932719870971392	-2.725926315905665e-17

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes18.0ms (0.2%)

Counts

8 → 1

Calls

Call 1

Inputs
-1
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 b (.f64 12 b)) 1)
(-.f64 (.f64 4 (.f64 a a)) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 -4 a))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)

Outputs
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)

Calls

3 calls:

6.0ms	b
6.0ms	a
3.0ms	(*.f64 b b)

Results

Error	Segments	Branch
13.4b	1	`a`
13.4b	1	`b`
13.4b	1	`(*.f64 b b)`

Compiler

Compiled 77 to 49 computations (36.4% saved)

regimes17.0ms (0.2%)

Counts

7 → 1

Calls

Call 1

Inputs
-1
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 b (.f64 12 b)) 1)
(-.f64 (.f64 4 (.f64 a a)) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 -4 a))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)

Outputs
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)

Calls

3 calls:

5.0ms	a
5.0ms	b
4.0ms	(*.f64 b b)

Results

Error	Segments	Branch
15.3b	1	`a`
15.3b	1	`b`
15.3b	1	`(*.f64 b b)`

Compiler

Compiled 64 to 41 computations (35.9% saved)

regimes16.0ms (0.2%)

Accuracy

Total -1.1b remaining (-4.6%)

Threshold costs -1.1b (-4.6%)

Counts

6 → 1

Calls

Call 1

Inputs
-1
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 b (.f64 12 b)) 1)
(-.f64 (.f64 4 (.f64 a a)) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 -4 a))) 1)

Outputs
(-.f64 (.f64 12 (.f64 b b)) 1)

Calls

3 calls:

5.0ms	a
5.0ms	b
3.0ms	(*.f64 b b)

Results

Error	Segments	Branch
23.7b	1	`a`
23.7b	1	`b`
23.7b	1	`(*.f64 b b)`

Compiler

Compiled 53 to 36 computations (32.1% saved)

simplify18.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	100	852
1	164	852
2	183	852
3	187	852
4	189	852

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (+.f64 (.f64 (+.f64 a 3) (.f64 b b)) (.f64 a (-.f64 a (.f64 a a)))) -1))
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 b (*.f64 b 3))))) 1)
(if (<=.f64 b -177272513012559392/4294967296) (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 a a) (.f64 b (.f64 b 3))))) 1) (if (<=.f64 b 54889672867360688/340282366920938463463374607431768211456) (-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (.f64 2 a))))) 1) (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 a a) (.f64 b (*.f64 b 3))))) 1)))
(if (<=.f64 a -127886109194529968/18446744073709551616) (-.f64 (+.f64 (.f64 a (.f64 a 4)) (.f64 (+.f64 a -4) (pow.f64 a 3))) 1) (if (<=.f64 a 4751237151808543/2923003274661805836407369665432566039311865085952) (-.f64 (+.f64 (pow.f64 b 4) (.f64 12 (.f64 b b))) 1) (-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (.f64 2 a))))) 1)))
(if (<=.f64 a -127886109194529968/18446744073709551616) (-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (.f64 2 a))))) 1) (if (<=.f64 a 4751237151808543/2923003274661805836407369665432566039311865085952) (-.f64 (+.f64 (pow.f64 b 4) (.f64 12 (.f64 b b))) 1) (-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (.f64 2 a))))) 1)))
(if (<=.f64 a -127886109194529968/18446744073709551616) (-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (.f64 2 a))))) 1) (if (<=.f64 a 4751237151808543/2923003274661805836407369665432566039311865085952) (-.f64 (.f64 b (+.f64 (pow.f64 b 3) (.f64 b 12))) 1) (-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (.f64 2 a))))) 1)))
(if (<=.f64 a -127886109194529968/18446744073709551616) (-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (.f64 2 a))))) 1) (if (<=.f64 a 4751237151808543/2923003274661805836407369665432566039311865085952) (-.f64 (.f64 b (.f64 b (fma.f64 b b 12))) 1) (-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (.f64 2 a))))) 1)))
(if (<=.f64 a -127886109194529968/18446744073709551616) (-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (.f64 2 a))))) 1) (if (<=.f64 a 4751237151808543/2923003274661805836407369665432566039311865085952) (-.f64 (+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 12 (.f64 b b))) 1) (-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (*.f64 2 a))))) 1)))
(if (<=.f64 a -127886109194529968/18446744073709551616) (-.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) 1) (if (<=.f64 a 4751237151808543/2923003274661805836407369665432566039311865085952) (-.f64 (+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 12 (.f64 b b))) 1) (-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)))
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)
(-.f64 (.f64 12 (.f64 b b)) 1)
-1

Outputs
(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (+.f64 (.f64 (+.f64 a 3) (.f64 b b)) (.f64 a (-.f64 a (.f64 a a)))) -1))
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(+.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (+.f64 a 3) (.f64 b b)) (.f64 (*.f64 a a) (-.f64 1 a))))) -1)
(+.f64 -1 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (+.f64 a 3) (.f64 b b)) (.f64 (*.f64 a a) (-.f64 1 a))))))
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 b (*.f64 b 3))))) 1)
(+.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 b (*.f64 b 3))))) -1)
(+.f64 -1 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 b (*.f64 b 3))))))
(if (<=.f64 b -177272513012559392/4294967296) (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 a a) (.f64 b (.f64 b 3))))) 1) (if (<=.f64 b 54889672867360688/340282366920938463463374607431768211456) (-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (.f64 2 a))))) 1) (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 a a) (.f64 b (*.f64 b 3))))) 1)))
(if (<=.f64 b -5539766031642481/134217728) (+.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 a a) (.f64 b (.f64 b 3))))) -1) (if (<=.f64 b 3430604554210043/21267647932558653966460912964485513216) (+.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (.f64 a 2))))) -1) (+.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 a a) (.f64 b (*.f64 b 3))))) -1)))
(if (<=.f64 b -5539766031642481/134217728) (+.f64 -1 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 a a) (.f64 b (.f64 b 3)))))) (if (<=.f64 b 3430604554210043/21267647932558653966460912964485513216) (+.f64 -1 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (.f64 a 2)))))) (+.f64 -1 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 a a) (.f64 b (*.f64 b 3))))))))
(if (<=.f64 a -127886109194529968/18446744073709551616) (-.f64 (+.f64 (.f64 a (.f64 a 4)) (.f64 (+.f64 a -4) (pow.f64 a 3))) 1) (if (<=.f64 a 4751237151808543/2923003274661805836407369665432566039311865085952) (-.f64 (+.f64 (pow.f64 b 4) (.f64 12 (.f64 b b))) 1) (-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (.f64 2 a))))) 1)))
(if (<=.f64 a -7992881824658123/1152921504606846976) (+.f64 (+.f64 (.f64 a (.f64 a 4)) (.f64 (+.f64 a -4) (pow.f64 a 3))) -1) (if (<=.f64 a 4751237151808543/2923003274661805836407369665432566039311865085952) (+.f64 (+.f64 (pow.f64 b 4) (.f64 (.f64 b b) 12)) -1) (+.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (.f64 a 2))))) -1)))
(if (<=.f64 a -7992881824658123/1152921504606846976) (+.f64 -1 (+.f64 (.f64 a (.f64 a 4)) (.f64 (+.f64 a -4) (pow.f64 a 3)))) (if (<=.f64 a 4751237151808543/2923003274661805836407369665432566039311865085952) (+.f64 -1 (+.f64 (pow.f64 b 4) (.f64 (.f64 b b) 12))) (+.f64 -1 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (.f64 a 2))))))))
(if (<=.f64 a -127886109194529968/18446744073709551616) (-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (.f64 2 a))))) 1) (if (<=.f64 a 4751237151808543/2923003274661805836407369665432566039311865085952) (-.f64 (+.f64 (pow.f64 b 4) (.f64 12 (.f64 b b))) 1) (-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (.f64 2 a))))) 1)))
(if (<=.f64 a -7992881824658123/1152921504606846976) (+.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (.f64 a 2))))) -1) (if (<=.f64 a 4751237151808543/2923003274661805836407369665432566039311865085952) (+.f64 (+.f64 (pow.f64 b 4) (.f64 (.f64 b b) 12)) -1) (+.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (.f64 a 2))))) -1)))
(if (<=.f64 a -7992881824658123/1152921504606846976) (+.f64 -1 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (.f64 a 2)))))) (if (<=.f64 a 4751237151808543/2923003274661805836407369665432566039311865085952) (+.f64 -1 (+.f64 (pow.f64 b 4) (.f64 (.f64 b b) 12))) (+.f64 -1 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (.f64 a 2))))))))
(if (<=.f64 a -127886109194529968/18446744073709551616) (-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (.f64 2 a))))) 1) (if (<=.f64 a 4751237151808543/2923003274661805836407369665432566039311865085952) (-.f64 (.f64 b (+.f64 (pow.f64 b 3) (.f64 b 12))) 1) (-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (.f64 2 a))))) 1)))
(if (<=.f64 a -7992881824658123/1152921504606846976) (+.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (.f64 a 2))))) -1) (if (<=.f64 a 4751237151808543/2923003274661805836407369665432566039311865085952) (+.f64 (.f64 b (+.f64 (pow.f64 b 3) (.f64 b 12))) -1) (+.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (.f64 a 2))))) -1)))
(if (<=.f64 a -7992881824658123/1152921504606846976) (+.f64 -1 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (.f64 a 2)))))) (if (<=.f64 a 4751237151808543/2923003274661805836407369665432566039311865085952) (+.f64 -1 (.f64 b (+.f64 (pow.f64 b 3) (.f64 b 12)))) (+.f64 -1 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (.f64 a 2))))))))
(if (<=.f64 a -127886109194529968/18446744073709551616) (-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (.f64 2 a))))) 1) (if (<=.f64 a 4751237151808543/2923003274661805836407369665432566039311865085952) (-.f64 (.f64 b (.f64 b (fma.f64 b b 12))) 1) (-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (.f64 2 a))))) 1)))
(if (<=.f64 a -7992881824658123/1152921504606846976) (+.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (.f64 a 2))))) -1) (if (<=.f64 a 4751237151808543/2923003274661805836407369665432566039311865085952) (+.f64 (.f64 b (.f64 b (fma.f64 b b 12))) -1) (+.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (.f64 a 2))))) -1)))
(if (<=.f64 a -7992881824658123/1152921504606846976) (+.f64 -1 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (.f64 a 2)))))) (if (<=.f64 a 4751237151808543/2923003274661805836407369665432566039311865085952) (+.f64 -1 (.f64 b (.f64 b (fma.f64 b b 12)))) (+.f64 -1 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (.f64 a 2))))))))
(if (<=.f64 a -127886109194529968/18446744073709551616) (-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (.f64 2 a))))) 1) (if (<=.f64 a 4751237151808543/2923003274661805836407369665432566039311865085952) (-.f64 (+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 12 (.f64 b b))) 1) (-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (*.f64 2 a))))) 1)))
(if (<=.f64 a -7992881824658123/1152921504606846976) (+.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (.f64 a 2))))) -1) (if (<=.f64 a 4751237151808543/2923003274661805836407369665432566039311865085952) (+.f64 (+.f64 (.f64 (.f64 b b) 12) (.f64 (.f64 b b) (.f64 b b))) -1) (+.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (*.f64 a 2))))) -1)))
(if (<=.f64 a -7992881824658123/1152921504606846976) (+.f64 -1 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (.f64 a 2)))))) (if (<=.f64 a 4751237151808543/2923003274661805836407369665432566039311865085952) (+.f64 -1 (+.f64 (.f64 (.f64 b b) 12) (.f64 (.f64 b b) (.f64 b b)))) (+.f64 -1 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 (.f64 b b) (.f64 a (+.f64 4 (*.f64 a 2))))))))
(if (<=.f64 a -127886109194529968/18446744073709551616) (-.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) 1) (if (<=.f64 a 4751237151808543/2923003274661805836407369665432566039311865085952) (-.f64 (+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 12 (.f64 b b))) 1) (-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)))
(if (<=.f64 a -7992881824658123/1152921504606846976) (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) -1) (if (<=.f64 a 4751237151808543/2923003274661805836407369665432566039311865085952) (+.f64 (+.f64 (.f64 (.f64 b b) 12) (.f64 (.f64 b b) (.f64 b b))) -1) (+.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) -1)))
(if (<=.f64 a -7992881824658123/1152921504606846976) (+.f64 -1 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4))))) (if (<=.f64 a 4751237151808543/2923003274661805836407369665432566039311865085952) (+.f64 -1 (+.f64 (.f64 (.f64 b b) 12) (.f64 (.f64 b b) (.f64 b b)))) (+.f64 -1 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))))))
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
(+.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) -1)
(+.f64 -1 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))))
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)
(+.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) -1)
(+.f64 -1 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))))
(-.f64 (.f64 12 (.f64 b b)) 1)
(+.f64 (.f64 (.f64 b b) 12) -1)
(+.f64 -1 (.f64 (.f64 b b) 12))
-1

end243.0ms (3%)

Stop Event

1×

fuel

Compiler

Compiled 1186 to 738 computations (37.8% saved)