Details

analyze247.0ms (2.6%)

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)

sample2.2s (22.3%)

Results

1.9s	8256×	body	256	valid
199.0ms	983×	body	256	invalid

preprocess112.0ms (1.2%)

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)

simplify31.0ms (0.3%)

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
▶	0.0b	(+.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))
▶	0.2b	(-.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)

Status

Error

Program

▶

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))

▶

0.2b

(-.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)

Compiler

Compiled 56 to 35 computations (37.5% saved)

localize58.0ms (0.6%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(.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)))))
✓	0.0b	(.f64 (.f64 a a) (-.f64 1 a))
✓	0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
✓	0.7b	(.f64 (.f64 b b) (+.f64 3 a))

series12.0ms (0.1%)

Counts

4 → 84

Calls

21 calls:

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

rewrite100.0ms (1%)

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 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 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 expm1.f64 (log1p.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 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 expm1.f64 (log1p.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 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 expm1.f64 (log1p.f64 (.f64 a (*.f64 a (-.f64 1 a)))))))))
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simplify89.0ms (0.9%)

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)))))

localize14.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(*.f64 b (+.f64 a 3))
	0.0b	(pow.f64 (hypot.f64 a b) 4)
	0.0b	(hypot.f64 a b)
	0.0b	(-.f64 a (*.f64 a a))
✓	0.0b	(*.f64 b (+.f64 a 3))
✓	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))))
✓	0.2b	(.f64 b (.f64 b (+.f64 a 3)))

series17.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	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))
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	b	@	0	(*.f64 b (+.f64 a 3))
1.0ms	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))

rewrite96.0ms (1%)

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 → 168

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 b (+.f64 a 3))

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

simplify62.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

631×	`associate-/l*_binary64`
552×	`distribute-rgt-in_binary64`
542×	`distribute-lft-in_binary64`
397×	`fma-neg_binary64`
374×	`+-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	123	1525
1	384	1455
2	1296	1440
3	3851	1425

Stop Event

1×	node limit

Counts

264 → 222

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)
(*.f64 b (+.f64 3 a))
(*.f64 b (+.f64 3 a))
(*.f64 b (+.f64 3 a))
(*.f64 b (+.f64 3 a))
(*.f64 b (+.f64 3 a))
(*.f64 b (+.f64 3 a))
(*.f64 b (+.f64 3 a))
(*.f64 b (+.f64 3 a))
(*.f64 b (+.f64 3 a))
(*.f64 b (+.f64 3 a))
(*.f64 b (+.f64 3 a))
(*.f64 b (+.f64 3 a))
(*.f64 3 b)
(+.f64 (.f64 a b) (.f64 3 b))
(+.f64 (.f64 a b) (.f64 3 b))
(+.f64 (.f64 a b) (.f64 3 b))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 3 b))
(+.f64 (.f64 a b) (.f64 3 b))
(+.f64 (.f64 a b) (.f64 3 b))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 3 b))
(+.f64 (.f64 a b) (.f64 3 b))
(+.f64 (.f64 a b) (.f64 3 b))

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

eval245.0ms (2.5%)

Compiler: Compiled 12010 to 6639 computations (44.7% saved)

prune172.0ms (1.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	366	11	377
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	368	11	379

Error

0.0b

Counts

379 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	49.4b	(.f64 (.f64 a a) (+.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a (+.f64 -4 a))))
▶	11.1b	(-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
	49.3b	(+.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)))
▶	0.1b	(-.f64 (+.f64 (fma.f64 (.f64 b b) (fma.f64 a (.f64 2 a) (.f64 b b)) (pow.f64 a 4)) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 3 a))))) 1)
	51.9b	(pow.f64 b 4)
	13.3b	(-.f64 (+.f64 (pow.f64 b 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
▶	12.2b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
	12.0b	(-.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)
	0.5b	(pow.f64 (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 b a) 4) (fma.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a (-.f64 a (*.f64 a a)))) 4 -1))) 3)
	1.8b	(-.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)
▶	50.4b	(pow.f64 a 4)

Compiler

Compiled 470 to 324 computations (31.1% saved)

localize126.0ms (1.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(fma.f64 (.f64 b b) (fma.f64 a (.f64 2 a) (*.f64 b b)) (pow.f64 a 4))
	0.0b	(.f64 (.f64 a a) (-.f64 1 a))
	0.0b	(+.f64 (fma.f64 (.f64 b b) (fma.f64 a (.f64 2 a) (.f64 b b)) (pow.f64 a 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))))
✓	0.0b	(+.f64 (fma.f64 (.f64 b b) (fma.f64 a (.f64 2 a) (.f64 b b)) (pow.f64 a 4)) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 3 a)))))
	0.0b	(.f64 (.f64 a a) (-.f64 1 a))
✓	0.2b	(fma.f64 (.f64 b b) (fma.f64 a (.f64 2 a) (*.f64 b b)) (pow.f64 a 4))
	0.7b	(.f64 (.f64 b b) (+.f64 3 a))

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite90.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

489×	`fma-neg_binary64`
373×	`expm1-udef_binary64`
372×	`log1p-udef_binary64`
226×	`add-sqr-sqrt_binary64`
222×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	67
1	451	65
2	6311	65

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

Inputs

(fma.f64 (*.f64 b b) (fma.f64 a (*.f64 2 a) (*.f64 b b)) (pow.f64 a 4))

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

Outputs

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

simplify80.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

692×	`associate-+l+_binary64`
635×	`associate-r_binary64`
489×	`unswap-sqr_binary64`
480×	`associate-+r+_binary64`
416×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	56	1045
1	165	1023
2	455	953
3	1819	940
4	5233	940
5	7211	940

Stop Event

1×	node limit

Counts

108 → 92

Calls

Call 1

Inputs
(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 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)))
(+.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))))))
(+.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))))

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

localize7.0ms (0.1%)

Local error

Found 6 expressions with local error:

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

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
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 (.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))

rewrite69.0ms (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	33
1	212	29
2	2939	29

Stop Event

1×	node limit

Counts

3 → 172

Calls

Call 1

Inputs
(.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4))))
(+.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 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(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 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))))))) (#(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 expm1.f64 (log1p.f64 (*.f64 a (+.f64 a -4))))))))

simplify84.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1158×	`distribute-rgt-out_binary64`
664×	`associate-r_binary64`
467×	`fma-def_binary64`
445×	`associate-+r+_binary64`
445×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	341
1	47	322
2	104	299
3	281	281
4	761	281
5	2702	281
6	2900	281
7	3159	281
8	4004	281
9	5711	281
10	6245	281

Stop Event

1×	node limit

Counts

208 → 191

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

localize33.0ms (0.3%)

localize9.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	1.2b	(.f64 (.f64 a a) (+.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a (+.f64 -4 a))))
	0.0b	(+.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a (+.f64 -4 a)))
	0.0b	(*.f64 a (+.f64 -4 a))
✓	0.0b	(*.f64 a (+.f64 -4 a))
✓	0.0b	(+.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a (+.f64 -4 a)))
✓	1.2b	(.f64 (.f64 a a) (+.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a (+.f64 -4 a))))

series8.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	b	@	0	(.f64 (.f64 a a) (+.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a (+.f64 -4 a))))
1.0ms	b	@	inf	(.f64 (.f64 a a) (+.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a (+.f64 -4 a))))
1.0ms	a	@	0	(.f64 (.f64 a a) (+.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a (+.f64 -4 a))))
0.0ms	a	@	inf	(.f64 (.f64 a a) (+.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a (+.f64 -4 a))))
0.0ms	a	@	-inf	(.f64 (.f64 a a) (+.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a (+.f64 -4 a))))

rewrite115.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

639×	`log-prod_binary64`
495×	`fma-def_binary64`
356×	`pow2_binary64`
245×	`pow1/3_binary64`
239×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	47
1	289	43
2	3908	43

Stop Event

1×	node limit

Counts

3 → 188

Calls

Call 1

Inputs
(.f64 (.f64 a a) (+.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a (+.f64 -4 a))))
(+.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a (+.f64 -4 a)))
(*.f64 a (+.f64 -4 a))

Outputs

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

simplify105.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

591×	`fma-def_binary64`
519×	`distribute-rgt-out_binary64`
512×	`distribute-rgt-in_binary64`
470×	`distribute-lft-in_binary64`
451×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	891
1	90	844
2	221	779
3	714	779
4	2729	779
5	5528	779
6	7183	779
7	7352	779
8	7574	779
9	7818	779

Stop Event

1×	node limit

Counts

248 → 219

Calls

Call 1

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

localize14.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.7b	(.f64 (.f64 b b) (+.f64 3 a))
	0.0b	(.f64 (.f64 a a) (-.f64 1 a))
	0.0b	(+.f64 (pow.f64 a 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))))
✓	0.0b	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
✓	0.0b	(+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
	0.0b	(.f64 (.f64 a a) (-.f64 1 a))
	0.7b	(.f64 (.f64 b b) (+.f64 3 a))

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite89.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

878×	`log-prod_binary64`
444×	`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	5383	50

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

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

Outputs

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(fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) (pow.f64 a 4)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) (pow.f64 a 4)) 2)) (cbrt.f64 (fma.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) (pow.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (*.f64 a a) (*.f64 2 (hypot.f64 (*.f64 a (sqrt.f64 (-.f64 1 a))) (*.f64 b (sqrt.f64 (+.f64 a 3)))))) (hypot.f64 (*.f64 a a) (*.f64 2 (hypot.f64 (*.f64 a (sqrt.f64 (-.f64 1 a))) (*.f64 b (sqrt.f64 (+.f64 a 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 a 12) (*.f64 64 (pow.f64 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) 3))) (/.f64 1 (+.f64 (pow.f64 a 8) (*.f64 (*.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3))))) (fma.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) (neg.f64 (pow.f64 a 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 b b) (*.f64 (+.f64 a 3) 4)) (*.f64 (*.f64 4 a) (*.f64 a (-.f64 1 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 4 a) (*.f64 a (-.f64 1 a))) (*.f64 (*.f64 b b) (*.f64 (+.f64 a 3) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 4 a) (*.f64 a (-.f64 1 a))) 1) (*.f64 (*.f64 (*.f64 b b) (*.f64 (+.f64 a 3) 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 b (*.f64 b (+.f64 a 3)))))) (cbrt.f64 (pow.f64 (exp.f64 4) (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 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(exp.f64 4) (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (*.f64 b b) (*.f64 (+.f64 a 3) 4))) (exp.f64 (*.f64 (*.f64 4 a) (*.f64 a (-.f64 1 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 64 (pow.f64 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (*.f64 a (*.f64 a (-.f64 1 a))) (*.f64 (*.f64 b b) (*.f64 (+.f64 a 3) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (*.f64 a (-.f64 1 a))) 4 (*.f64 (*.f64 b b) (*.f64 (+.f64 a 3) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))))))))))

simplify72.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

940×	`difference-of-squares_binary64`
480×	`associate-l_binary64`
412×	`distribute-lft-out_binary64`
363×	`distribute-rgt-out_binary64`
350×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	1090
1	125	970
2	340	893
3	1193	875
4	3023	875
5	5308	875

Stop Event

1×	node limit

Counts

119 → 99

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

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

eval350.0ms (3.6%)

Compiler: Compiled 18712 to 11396 computations (39.1% saved)

prune120.0ms (1.2%)

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	699	14	713
Fresh	2	4	6
Picked	1	0	1
Done	1	3	4
Total	703	21	724

Error

Counts

724 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	24.9b	(-.f64 (.f64 (.f64 a a) 4) 1)
	49.6b	(.f64 (.f64 a a) (+.f64 4 (*.f64 a (-.f64 a 4))))
✓	12.2b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
	49.8b	(.f64 (.f64 a a) (*.f64 a (+.f64 a -4)))
	12.0b	(-.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)
	12.1b	(-.f64 (+.f64 (.f64 (+.f64 a -4) (pow.f64 a 3)) (.f64 a (*.f64 a 4))) 1)
	50.5b	(.f64 (.f64 a a) (*.f64 a a))
▶	24.7b	(-.f64 (.f64 12 (.f64 b b)) 1)
	1.8b	(-.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)
✓	49.4b	(.f64 (.f64 a a) (+.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a (+.f64 -4 a))))
▶	12.2b	(-.f64 (.f64 a (.f64 a (+.f64 4 (*.f64 a (+.f64 a -4))))) 1)
▶	61.8b	(.f64 (.f64 a a) (.f64 2 (.f64 b b)))
▶	14.0b	(-.f64 (.f64 b (.f64 b (fma.f64 b b 12))) 1)
	12.2b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (+.f64 (.f64 a a) (.f64 a -4)))) 1)
▶	0.1b	(-.f64 (+.f64 (+.f64 (.f64 (.f64 b b) (fma.f64 a (.f64 a 2) (.f64 b b))) (pow.f64 a 4)) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
✓	50.4b	(pow.f64 a 4)
	51.9b	(pow.f64 b 4)
	13.3b	(-.f64 (+.f64 (pow.f64 b 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
	61.8b	(.f64 b (.f64 (.f64 b a) (.f64 2 a)))
	12.2b	(-.f64 (.f64 (.f64 a a) (fma.f64 a (+.f64 a -4) 4)) 1)
	25.1b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 -4 a))) 1)

Compiler

Compiled 604 to 409 computations (32.3% saved)

localize19.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(.f64 (.f64 a a) (-.f64 1 a))
	0.0b	(+.f64 (+.f64 (.f64 (.f64 b b) (fma.f64 a (.f64 a 2) (.f64 b b))) (pow.f64 a 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))))
	0.0b	(+.f64 (.f64 (.f64 b b) (fma.f64 a (.f64 a 2) (.f64 b b))) (pow.f64 a 4))
✓	0.0b	(+.f64 (+.f64 (.f64 (.f64 b b) (fma.f64 a (.f64 a 2) (.f64 b b))) (pow.f64 a 4)) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
	0.0b	(.f64 (.f64 a a) (-.f64 1 a))
	0.7b	(.f64 (.f64 b b) (+.f64 3 a))
✓	1.9b	(.f64 (.f64 b b) (fma.f64 a (.f64 a 2) (.f64 b b)))

series7.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	a	@	-inf	(.f64 (.f64 b b) (fma.f64 a (.f64 a 2) (.f64 b b)))
1.0ms	b	@	0	(.f64 (.f64 b b) (fma.f64 a (.f64 a 2) (.f64 b b)))
1.0ms	a	@	inf	(.f64 (.f64 b b) (fma.f64 a (.f64 a 2) (.f64 b b)))
1.0ms	a	@	0	(.f64 (.f64 b b) (fma.f64 a (.f64 a 2) (.f64 b b)))
1.0ms	b	@	inf	(.f64 (.f64 b b) (fma.f64 a (.f64 a 2) (.f64 b b)))

rewrite91.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

405×	`expm1-udef_binary64`
404×	`log1p-udef_binary64`
245×	`add-sqr-sqrt_binary64`
241×	`pow1_binary64`
240×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	63
1	485	61
2	7062	61

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

Inputs

(*.f64 (*.f64 b b) (fma.f64 a (*.f64 a 2) (*.f64 b b)))

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

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

simplify74.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

706×	`associate-+l+_binary64`
647×	`associate-r_binary64`
489×	`unswap-sqr_binary64`
482×	`associate-+r+_binary64`
391×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	1000
1	154	978
2	442	932
3	1791	919
4	5306	919
5	7301	919

Stop Event

1×	node limit

Counts

108 → 89

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.2b	(.f64 12 (.f64 b b))
✓	0.2b	(.f64 12 (.f64 b b))

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite36.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

432×	`pow1_binary64`
421×	`add-sqr-sqrt_binary64`
411×	`*-un-lft-identity_binary64`
402×	`add-log-exp_binary64`
402×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	102	7
2	1146	7

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

Inputs
(.f64 12 (.f64 b b))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 12 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 12) (*.f64 b b))) (cbrt.f64 (pow.f64 (exp.f64 12) (*.f64 b b))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 12) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 12) (*.f64 b b)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 12) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 12 (*.f64 b b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 12 (*.f64 b b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 12 (*.f64 b b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 12 (*.f64 b b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b (sqrt.f64 12)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 144 (pow.f64 b 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 12) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 12 (*.f64 b b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 12 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 12 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 12 (*.f64 b b))))))))

simplify136.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1104×	`sqr-pow_binary64`
618×	`cube-prod_binary64`
555×	`fabs-mul_binary64`
536×	`pow-sqr_binary64`
445×	`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	336	84
6	1237	84
7	2113	84
8	2276	84
9	2460	84
10	2668	84
11	2959	84
12	3350	84
13	3830	84
14	4391	84
15	5073	84
16	5906	84
17	6298	84
18	6590	84
19	6868	84
20	6944	84
21	6980	84
22	7921	84

Stop Event

1×	node limit

Counts

26 → 16

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))

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))

localize5.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.8b	(.f64 (.f64 a a) (.f64 2 (.f64 b b)))
	0.0b	(.f64 2 (.f64 b b))
✓	0.0b	(.f64 2 (.f64 b b))
✓	2.8b	(.f64 (.f64 a a) (.f64 2 (.f64 b b)))

series5.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	a	@	0	(.f64 (.f64 a a) (.f64 2 (.f64 b b)))
1.0ms	b	@	0	(.f64 (.f64 a a) (.f64 2 (.f64 b b)))
1.0ms	a	@	inf	(.f64 (.f64 a a) (.f64 2 (.f64 b b)))
1.0ms	b	@	inf	(.f64 (.f64 a a) (.f64 2 (.f64 b b)))
0.0ms	b	@	inf	(.f64 2 (.f64 b b))

rewrite48.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

721×	`pow1_binary64`
662×	`add-log-exp_binary64`
662×	`log1p-expm1-u_binary64`
662×	`expm1-log1p-u_binary64`
645×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	163	19
2	1909	19

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

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

Outputs

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

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

simplify170.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

829×	`fabs-mul_binary64`
787×	`cube-prod_binary64`
744×	`unswap-sqr_binary64`
718×	`sqr-pow_binary64`
365×	`cube-mult_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	396
1	22	396
2	56	396
3	183	396
4	832	396
5	1401	396
6	1467	396
7	1567	396
8	1687	396
9	1809	396
10	1956	396
11	3104	396
12	3333	396
13	3629	396
14	3958	396
15	4363	396
16	4981	396
17	5723	396
18	6209	396
19	6595	396
20	7027	396
21	7429	396
22	7829	396

Stop Event

1×	node limit

Counts

60 → 28

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 8 expressions with local error:

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

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite56.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

501×	`log-prod_binary64`
373×	`pow-prod-down_binary64`
363×	`prod-diff_binary64`
314×	`fma-def_binary64`
265×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	29
1	212	25
2	2951	25

Stop Event

1×	node limit

Counts

2 → 90

Calls

Call 1

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

Outputs

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

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

simplify99.0ms (1%)

Algorithm

1×	egg-herbie

Rules

891×	`fma-def_binary64`
804×	`*-commutative_binary64`
803×	`unswap-sqr_binary64`
622×	`distribute-rgt-in_binary64`
602×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	20	310
1	55	286
2	124	276
3	320	248
4	877	236
5	1883	236
6	3688	236
7	3821	236
8	4037	236
9	4451	236
10	5238	236
11	6644	236
12	7117	236
13	7666	236

Stop Event

1×	node limit

Counts

114 → 108

Calls

Call 1

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

localize5.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 b (.f64 b (fma.f64 b b 12)))
	0.1b	(*.f64 b (fma.f64 b b 12))
✓	0.1b	(*.f64 b (fma.f64 b b 12))
✓	0.2b	(.f64 b (.f64 b (fma.f64 b b 12)))

series3.0ms (0%)

Counts

2 → 24

Calls

6 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)))
0.0ms	b	@	-inf	(*.f64 b (fma.f64 b b 12))
0.0ms	b	@	0	(*.f64 b (fma.f64 b b 12))

rewrite42.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

556×	`pow1_binary64`
514×	`add-log-exp_binary64`
514×	`log1p-expm1-u_binary64`
514×	`expm1-log1p-u_binary64`
504×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	19
1	121	19
2	1405	19

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

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

Outputs

((#(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 (+.f64 1 (*.f64 b (*.f64 b (fma.f64 b b 12)))) 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 (pow.f64 (*.f64 b (*.f64 b (fma.f64 b b 12))) 3) 1/3)))) (#(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 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 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 expm1.f64 (log1p.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 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 expm1.f64 (log1p.f64 (*.f64 b (fma.f64 b b 12))))))))

simplify132.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1058×	`sqr-pow_binary64`
624×	`fma-def_binary64`
503×	`pow-sqr_binary64`
499×	`cube-prod_binary64`
463×	`fabs-mul_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	198
1	33	198
2	63	198
3	126	198
4	349	198
5	1682	198
6	2611	198
7	3014	198
8	3275	198
9	3586	198
10	3997	198
11	4583	198
12	5231	198
13	6003	198
14	6382	198
15	6710	198
16	6984	198
17	7160	198
18	7248	198

Stop Event

1×	node limit

Counts

50 → 35

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))

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 (.f64 b (fma.f64 b b 12)))
(.f64 (.f64 b 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 (.f64 b (fma.f64 b b 12)))
(.f64 (.f64 b 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 (.f64 b (fma.f64 b b 12)))
(.f64 (.f64 b 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 (.f64 b (fma.f64 b b 12)))
(.f64 (.f64 b 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 (.f64 b (fma.f64 b b 12)))
(.f64 (.f64 b 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 (.f64 b (fma.f64 b b 12)))
(.f64 (.f64 b 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 (.f64 b (fma.f64 b b 12)))
(.f64 (.f64 b 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 (.f64 b (fma.f64 b b 12)))
(.f64 (.f64 b 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 (.f64 b (fma.f64 b b 12)))
(.f64 (.f64 b 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))

eval195.0ms (2%)

Compiler: Compiled 11023 to 6830 computations (38% saved)

prune87.0ms (0.9%)

Pruning

24 alts after pruning (18 fresh and 6 done)

	Pruned	Kept	Total
New	448	9	457
Fresh	4	9	13
Picked	0	1	1
Done	2	5	7
Total	454	24	478

Error

Counts

478 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	49.6b	(.f64 (.f64 a a) (+.f64 4 (*.f64 a (-.f64 a 4))))
✓	12.2b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
	25.1b	(-.f64 (.f64 a (.f64 a (+.f64 4 (*.f64 a -4)))) 1)
	49.8b	(.f64 (.f64 a a) (*.f64 a (+.f64 a -4)))
	12.0b	(-.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)
	50.5b	(.f64 (.f64 a a) (*.f64 a a))
✓	24.7b	(-.f64 (.f64 12 (.f64 b b)) 1)
	1.8b	(-.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)
▶	13.9b	(-.f64 (.f64 a (.f64 a (*.f64 a a))) 1)
	14.0b	(-.f64 (+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 12 (*.f64 b b))) 1)
	14.0b	(-.f64 (.f64 b (+.f64 (pow.f64 b 3) (.f64 b 12))) 1)
	12.2b	(-.f64 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4))) 1)
	12.2b	(-.f64 (.f64 a (+.f64 (.f64 a 4) (.f64 (+.f64 a -4) (.f64 a a)))) 1)
▶	1.7b	(-.f64 (+.f64 (+.f64 (.f64 (.f64 b b) (fma.f64 a (.f64 a 2) (.f64 b b))) (pow.f64 a 4)) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a))))) 1)
	24.7b	(-.f64 (.f64 b (.f64 12 b)) 1)
✓	61.8b	(.f64 (.f64 a a) (.f64 2 (.f64 b b)))
✓	14.0b	(-.f64 (.f64 b (.f64 b (fma.f64 b b 12))) 1)
✓	50.4b	(pow.f64 a 4)
▶	12.2b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (+.f64 (.f64 a a) (.f64 a -4)))) 1)
▶	51.9b	(pow.f64 b 4)
	13.3b	(-.f64 (+.f64 (pow.f64 b 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
	61.8b	(.f64 b (.f64 (.f64 b a) (.f64 2 a)))
✓	49.4b	(.f64 (.f64 a a) (+.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a (+.f64 -4 a))))
▶	24.9b	(-.f64 (.f64 a (.f64 a 4)) 1)

Compiler

Compiled 634 to 423 computations (33.3% saved)

localize17.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.7b	(.f64 (.f64 b b) (+.f64 3 a))
	0.0b	(+.f64 (+.f64 (.f64 (.f64 b b) (fma.f64 a (.f64 a 2) (.f64 b b))) (pow.f64 a 4)) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a)))))
	0.0b	(.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a))))
	0.0b	(+.f64 (.f64 (.f64 b b) (fma.f64 a (.f64 a 2) (.f64 b b))) (pow.f64 a 4))
✓	0.0b	(.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a))))
✓	0.0b	(+.f64 (+.f64 (.f64 (.f64 b b) (fma.f64 a (.f64 a 2) (.f64 b b))) (pow.f64 a 4)) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a)))))
	0.7b	(.f64 (.f64 b b) (+.f64 3 a))
	1.9b	(.f64 (.f64 b b) (fma.f64 a (.f64 a 2) (.f64 b b)))

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite86.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

624×	`fma-neg_binary64`
351×	`expm1-udef_binary64`
351×	`log1p-udef_binary64`
214×	`add-sqr-sqrt_binary64`
211×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	57
1	423	55
2	6176	55

Stop Event

1×	node limit

Counts

2 → 69

Calls

Call 1

Inputs

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

(*.f64 4 (+.f64 (*.f64 a a) (*.f64 (*.f64 b b) (+.f64 3 a))))

Outputs

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

simplify138.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

890×	`distribute-rgt-out_binary64`
854×	`distribute-rgt-in_binary64`
483×	`associate-+l+_binary64`
482×	`associate-l_binary64`
444×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	1069
1	161	942
2	453	886
3	1626	884
4	4108	884
5	6265	884
6	6357	884
7	6474	884
8	6633	884
9	6845	884
10	7124	884

Stop Event

1×	node limit

Counts

117 → 104

Calls

Call 1

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

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

localize4.0ms (0%)

localize5.0ms (0%)

Local error

Found 4 expressions with local error:

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

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite62.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

385×	`pow1_binary64`
369×	`add-sqr-sqrt_binary64`
360×	`*-un-lft-identity_binary64`
359×	`add-log-exp_binary64`
359×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	11
1	102	8
2	1120	8

Stop Event

1×	node limit

Counts

2 → 39

Calls

Call 1

Inputs
(.f64 a (.f64 a (*.f64 a a)))
(.f64 a (.f64 a a))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 a 4))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 a 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 a 4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 a 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 a 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 a 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a a) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 a 3) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 a 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 a 6) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 a 8) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 a 12) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (cbrt.f64 a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 a) 12)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 a) 2) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 a) 8)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 a 8))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 a 12))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 4 (log.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 a 4)))))))

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

simplify129.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1098×	`sqr-pow_binary64`
709×	`associate-l_binary64`
509×	`cube-prod_binary64`
508×	`*-commutative_binary64`
488×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	96
1	17	96
2	28	96
3	47	96
4	109	96
5	386	96
6	2460	96
7	2608	96
8	2866	96
9	3203	96
10	3596	96
11	4133	96
12	5083	96
13	5883	96
14	6383	96
15	6701	96
16	6970	96
17	7155	96
18	7246	96

Stop Event

1×	node limit

Counts

63 → 39

Calls

Call 1

Inputs
(pow.f64 a 4)
(pow.f64 a 4)
(pow.f64 a 4)
(pow.f64 a 4)
(pow.f64 a 4)
(pow.f64 a 4)
(pow.f64 a 4)
(pow.f64 a 4)
(pow.f64 a 4)
(pow.f64 a 4)
(pow.f64 a 4)
(pow.f64 a 4)
(pow.f64 a 3)
(pow.f64 a 3)
(pow.f64 a 3)
(pow.f64 a 3)
(pow.f64 a 3)
(pow.f64 a 3)
(pow.f64 a 3)
(pow.f64 a 3)
(pow.f64 a 3)
(pow.f64 a 3)
(pow.f64 a 3)
(pow.f64 a 3)

Outputs
(pow.f64 a 4)
(pow.f64 a 4)
(pow.f64 a 4)
(pow.f64 a 4)
(pow.f64 a 4)
(pow.f64 a 4)
(pow.f64 a 4)
(pow.f64 a 4)
(pow.f64 a 4)
(pow.f64 a 4)
(pow.f64 a 4)
(pow.f64 a 4)
(pow.f64 a 3)
(pow.f64 a 3)
(pow.f64 a 3)
(pow.f64 a 3)
(pow.f64 a 3)
(pow.f64 a 3)
(pow.f64 a 3)
(pow.f64 a 3)
(pow.f64 a 3)
(pow.f64 a 3)
(pow.f64 a 3)
(pow.f64 a 3)

localize27.0ms (0.3%)

Local error

Found 6 expressions with local error:

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

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite72.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

530×	`fma-def_binary64`
499×	`log-prod_binary64`
398×	`pow-prod-down_binary64`
270×	`pow2_binary64`
207×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	33
1	214	29
2	3083	29

Stop Event

1×	node limit

Counts

3 → 200

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (*.f64 a 4)) (*.f64 (pow.f64 a 3) (+.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 a 3) (+.f64 a -4)) (*.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 (fma.f64 a a 4) (*.f64 a a)) (*.f64 (pow.f64 a 3) -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a (*.f64 a 4)) 1) (*.f64 (*.f64 (pow.f64 a 3) (+.f64 a -4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a a) (fma.f64 a a 4)) (*.f64 (pow.f64 a 3) -4))))) (#(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 (pow.f64 a 3) (+.f64 a -4)) 3)) (+.f64 (pow.f64 (*.f64 a (*.f64 a 4)) 2) (-.f64 (pow.f64 (*.f64 (pow.f64 a 3) (+.f64 a -4)) 2) (*.f64 (*.f64 a (*.f64 a 4)) (*.f64 (pow.f64 a 3) (+.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 a (*.f64 a 4)) 2) (pow.f64 (*.f64 (pow.f64 a 3) (+.f64 a -4)) 2)) (-.f64 (*.f64 a (*.f64 a 4)) (*.f64 (pow.f64 a 3) (+.f64 a -4))))))) (#(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 cbrt.f64 (pow.f64 (*.f64 a (sqrt.f64 (fma.f64 a (+.f64 a -4) 4))) 6))))) (#(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 exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 a (*.f64 a (fma.f64 a (+.f64 a -4) 4)))) 1) 1))))) (#(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 fma.f64 a (*.f64 a 4) (*.f64 (pow.f64 a 3) (+.f64 a -4)))))) (#(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 (pow.f64 a 3) (+.f64 a -4)))))) (#(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 (*.f64 a a) (fma.f64 a a 4) (*.f64 (pow.f64 a 3) -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (*.f64 a a) (*.f64 (pow.f64 a 3) (+.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 (pow.f64 a 3) (+.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (pow.f64 a 3) (+.f64 a -4)) (*.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 (cbrt.f64 a) a) (*.f64 (pow.f64 (cbrt.f64 a) 2) 4) (*.f64 (pow.f64 a 3) (+.f64 a -4)))))) (#(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 (sqrt.f64 (*.f64 a (+.f64 a -4))) (*.f64 (sqrt.f64 (*.f64 a (+.f64 a -4))) (*.f64 a a)) (*.f64 a (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (*.f64 a 4)) 1 (*.f64 (*.f64 (pow.f64 a 3) (+.f64 a -4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 a a 4) (*.f64 a a) (*.f64 (pow.f64 a 3) -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 (pow.f64 a 3) (+.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 a 3) (+.f64 a -4))) 2) (cbrt.f64 (*.f64 (pow.f64 a 3) (+.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 (pow.f64 a 3) (+.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (sqrt.f64 (*.f64 a (+.f64 a -4)))) (*.f64 a (sqrt.f64 (*.f64 a (+.f64 a -4)))) (*.f64 a (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 a) a (*.f64 (pow.f64 a 3) (+.f64 a -4)))))) (#(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 4 (*.f64 (cbrt.f64 a) a)) (pow.f64 (cbrt.f64 a) 2) (*.f64 (pow.f64 a 3) (+.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) (sqrt.f64 (*.f64 a (+.f64 a -4)))) (sqrt.f64 (*.f64 a (+.f64 a -4))) (*.f64 a (*.f64 a 4)))))) (#(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 expm1.f64 (log1p.f64 (*.f64 a (*.f64 a (fma.f64 a (+.f64 a -4) 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 4) (*.f64 a (-.f64 a -4))) (/.f64 (*.f64 (*.f64 a a) 16) (*.f64 a (-.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (+.f64 a -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (+.f64 a -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 a (+.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (+.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a (+.f64 a -4))) (pow.f64 (cbrt.f64 (*.f64 a (+.f64 a -4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 a (+.f64 a -4))) 2) (cbrt.f64 (*.f64 a (+.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (+.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a (+.f64 a -4))) (sqrt.f64 (*.f64 a (+.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -64 (pow.f64 a 3) (pow.f64 a 6)) (/.f64 1 (fma.f64 (*.f64 a -4) (-.f64 (*.f64 a -4) (*.f64 a a)) (pow.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 a 4) (*.f64 (*.f64 a a) 16)) (/.f64 1 (*.f64 a (-.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a -4) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 a -4) (-.f64 (*.f64 a -4) (*.f64 a a)) (pow.f64 a 4)) (fma.f64 -64 (pow.f64 a 3) (pow.f64 a 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 a (-.f64 a -4)) (-.f64 (pow.f64 a 4) (*.f64 (*.f64 a a) 16))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -64 (pow.f64 a 3) (pow.f64 a 6)) (fma.f64 (*.f64 a -4) (-.f64 (*.f64 a -4) (*.f64 a a)) (pow.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -64 (pow.f64 a 3) (pow.f64 a 6)) (fma.f64 (*.f64 a a) 16 (-.f64 (pow.f64 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simplify88.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1157×	`distribute-rgt-out_binary64`
665×	`associate-r_binary64`
467×	`fma-def_binary64`
445×	`associate-+r+_binary64`
445×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	341
1	47	322
2	104	299
3	281	281
4	761	281
5	2696	281
6	2900	281
7	3159	281
8	4004	281
9	5718	281
10	6252	281

Stop Event

1×	node limit

Counts

236 → 218

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

localize2.0ms (0%)

eval228.0ms (2.4%)

Compiler: Compiled 10252 to 6283 computations (38.7% saved)

prune85.0ms (0.9%)

Pruning

24 alts after pruning (14 fresh and 10 done)

	Pruned	Kept	Total
New	410	2	412
Fresh	1	12	13
Picked	0	1	1
Done	1	9	10
Total	412	24	436

Error

Counts

436 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	49.6b	(.f64 (.f64 a a) (+.f64 4 (*.f64 a (-.f64 a 4))))
✓	12.2b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
	49.8b	(.f64 (.f64 a a) (*.f64 a (+.f64 a -4)))
	12.0b	(-.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)
	50.5b	(.f64 (.f64 a a) (*.f64 a a))
	3.2b	(-.f64 (+.f64 (+.f64 (.f64 (.f64 b b) (fma.f64 a (.f64 a 2) (.f64 b b))) (pow.f64 a 4)) (.f64 4 (.f64 a a))) 1)
✓	24.7b	(-.f64 (.f64 12 (.f64 b b)) 1)
	1.8b	(-.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)
✓	13.9b	(-.f64 (.f64 a (.f64 a (*.f64 a a))) 1)
	14.0b	(-.f64 (+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 12 (*.f64 b b))) 1)
	14.0b	(-.f64 (.f64 b (+.f64 (pow.f64 b 3) (.f64 b 12))) 1)
	12.2b	(-.f64 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4))) 1)
	24.7b	(-.f64 (.f64 b (.f64 12 b)) 1)
✓	61.8b	(.f64 (.f64 a a) (.f64 2 (.f64 b b)))
✓	14.0b	(-.f64 (.f64 b (.f64 b (fma.f64 b b 12))) 1)
✓	50.4b	(pow.f64 a 4)
✓	12.2b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (+.f64 (.f64 a a) (.f64 a -4)))) 1)
✓	51.9b	(pow.f64 b 4)
	13.3b	(-.f64 (+.f64 (pow.f64 b 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
	25.1b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a -4))) 1)
	61.8b	(.f64 b (.f64 (.f64 b a) (.f64 2 a)))
✓	49.4b	(.f64 (.f64 a a) (+.f64 (fma.f64 2 (.f64 b b) 4) (.f64 a (+.f64 -4 a))))
	12.2b	(-.f64 (.f64 a (+.f64 (.f64 a 4) (.f64 (+.f64 a -4) (.f64 a a)))) 1)
✓	24.9b	(-.f64 (.f64 a (.f64 a 4)) 1)

Compiler

Compiled 344 to 232 computations (32.6% saved)

regimes197.0ms (2%)

Counts

38 → 1

Calls

Call 1

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

Outputs
(+.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))

Calls

6 calls:

46.0ms	a
38.0ms	b
15.0ms	(+.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)
11.0ms	(*.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 (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 668 to 384 computations (42.5% saved)

regimes95.0ms (1%)

Counts

36 → 1

Calls

Call 1

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

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

Calls

5 calls:

20.0ms	a
19.0ms	b
18.0ms	(*.f64 b 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)))))
8.0ms	(-.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
0.1b	1	`a`
0.1b	1	`b`
0.1b	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)`
0.1b	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)))))`
0.1b	1	`(*.f64 b b)`

Compiler

Compiled 614 to 353 computations (42.5% saved)

regimes124.0ms (1.3%)

Counts

33 → 1

Calls

Call 1

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

Calls

5 calls:

39.0ms	b
18.0ms	a
18.0ms	(+.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 522 to 299 computations (42.7% saved)

regimes121.0ms (1.3%)

Counts

30 → 2

Calls

Call 1

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

Calls

3 calls:

50.0ms	b
44.0ms	a
17.0ms	(*.f64 b b)

Results

Error	Segments	Branch
0.8b	2	`a`
0.1b	3	`b`
0.1b	2	`(*.f64 b b)`

Compiler

Compiled 377 to 221 computations (41.4% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.744862247943983e-23	6.464375788806829e-22

Compiler

Compiled 34 to 23 computations (32.4% saved)

regimes150.0ms (1.6%)

Counts

29 → 3

Calls

Call 1

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

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

58.0ms	b
48.0ms	a
18.0ms	(*.f64 b b)
16.0ms	(*.f64 b b)

Results

Error	Segments	Branch
1.0b	3	`a`
2.1b	3	`b`
2.1b	2	`(*.f64 b b)`
2.1b	2	`(*.f64 b b)`

Compiler

Compiled 357 to 212 computations (40.6% saved)

bsearch69.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
38.0ms	1.1575162236971233e-14	1.5130102558004194e-9
31.0ms	-2.4041193244178425	-1.6246623066638006e-6

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes213.0ms (2.2%)

Counts

28 → 3

Calls

Call 1

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

115.0ms	b
59.0ms	a
15.0ms	(*.f64 b b)
14.0ms	(*.f64 b b)

Results

Error	Segments	Branch
1.1b	3	`a`
2.2b	3	`b`
2.2b	2	`(*.f64 b b)`
2.2b	2	`(*.f64 b b)`

Compiler

Compiled 334 to 198 computations (40.7% saved)

bsearch100.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
31.0ms	1.1575162236971233e-14	1.5130102558004194e-9
68.0ms	-1.6246623066638006e-6	-3.288423744809519e-8

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes141.0ms (1.5%)

Counts

22 → 3

Calls

Call 1

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

44.0ms	a
36.0ms	b
36.0ms	(*.f64 b b)
13.0ms	(*.f64 b b)

Results

Error	Segments	Branch
1.1b	3	`a`
2.3b	3	`b`
2.3b	2	`(*.f64 b b)`
2.3b	2	`(*.f64 b b)`

Compiler

Compiled 245 to 142 computations (42% saved)

bsearch79.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
47.0ms	1.1575162236971233e-14	1.5130102558004194e-9
31.0ms	-1.6246623066638006e-6	-3.288423744809519e-8

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes130.0ms (1.3%)

Counts

21 → 3

Calls

Call 1

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

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:

74.0ms	b
35.0ms	a
15.0ms	(*.f64 b b)

Results

Error	Segments	Branch
1.1b	3	`a`
2.3b	3	`b`
2.3b	2	`(*.f64 b b)`

Compiler

Compiled 230 to 133 computations (42.2% saved)

bsearch63.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
34.0ms	1.1575162236971233e-14	1.5130102558004194e-9
29.0ms	-1.6246623066638006e-6	-3.288423744809519e-8

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes73.0ms (0.8%)

Counts

18 → 3

Calls

Call 1

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

Outputs

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

30.0ms	b
27.0ms	a
10.0ms	(*.f64 b b)

Results

Error	Segments	Branch
1.3b	3	`a`
2.3b	3	`b`
2.3b	2	`(*.f64 b b)`

Compiler

Compiled 199 to 114 computations (42.7% saved)

bsearch58.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	1.1575162236971233e-14	1.5130102558004194e-9
29.0ms	-1.6246623066638006e-6	-3.288423744809519e-8

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes104.0ms (1.1%)

Counts

16 → 3

Calls

Call 1

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

Outputs
(-.f64 (.f64 a (.f64 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:

44.0ms	a
29.0ms	(*.f64 b b)
26.0ms	b

Results

Error	Segments	Branch
1.3b	3	`a`
2.3b	3	`b`
2.3b	2	`(*.f64 b b)`

Compiler

Compiled 169 to 97 computations (42.6% saved)

bsearch109.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
30.0ms	1.1575162236971233e-14	1.5130102558004194e-9
79.0ms	-1.6246623066638006e-6	-3.288423744809519e-8

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes48.0ms (0.5%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

3 calls:

28.0ms	b
9.0ms	a
5.0ms	(*.f64 b b)

Results

Error	Segments	Branch
12.2b	1	`a`
12.2b	1	`b`
12.2b	1	`(*.f64 b b)`

Compiler

Compiled 154 to 91 computations (40.9% saved)

regimes151.0ms (1.6%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

3 calls:

132.0ms	a
8.0ms	b
7.0ms	(*.f64 b b)

Results

Error	Segments	Branch
12.0b	3	`a`
13.9b	1	`b`
13.9b	1	`(*.f64 b b)`

Compiler

Compiled 128 to 74 computations (42.2% saved)

bsearch62.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
30.0ms	1.3632371520142268	32.65186518297293
32.0ms	-2.4041193244178425	-1.6246623066638006e-6

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes35.0ms (0.4%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

3 calls:

20.0ms	a
7.0ms	b
5.0ms	(*.f64 b b)

Results

Error	Segments	Branch
12.4b	3	`a`
13.9b	1	`b`
13.9b	1	`(*.f64 b b)`

Compiler

Compiled 106 to 61 computations (42.5% saved)

bsearch64.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
34.0ms	1.3632371520142268	32.65186518297293
30.0ms	-2.4041193244178425	-1.6246623066638006e-6

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes25.0ms (0.3%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

3 calls:

13.0ms	a
6.0ms	b
3.0ms	(*.f64 b b)

Results

Error	Segments	Branch
12.9b	3	`a`
13.9b	1	`b`
13.9b	1	`(*.f64 b b)`

Compiler

Compiled 57 to 34 computations (40.4% saved)

bsearch59.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
29.0ms	1.3632371520142268	32.65186518297293
30.0ms	-1.6246623066638006e-6	-3.288423744809519e-8

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes34.0ms (0.4%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

3 calls:

14.0ms	a
13.0ms	b
5.0ms	(*.f64 b b)

Results

Error	Segments	Branch
12.9b	3	`a`
22.9b	3	`b`
22.9b	2	`(*.f64 b b)`

Compiler

Compiled 48 to 30 computations (37.5% saved)

bsearch58.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
29.0ms	1.3632371520142268	32.65186518297293
28.0ms	-2.4041193244178425	-1.6246623066638006e-6

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes10.0ms (0.1%)

Accuracy

Total -1.0b remaining (-4.2%)

Threshold costs -1.0b (-4.2%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	b
4.0ms	a

Results

Error	Segments	Branch
24.7b	1	`a`
24.7b	1	`b`

Compiler

Compiled 29 to 21 computations (27.6% saved)

simplify23.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	122	1007
1	194	1007
2	215	1007
3	219	1007
4	221	1007

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.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 (+.f64 (+.f64 (.f64 (.f64 b b) (fma.f64 a (.f64 a 2) (.f64 b b))) (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 (+.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)
(if (<=.f64 (.f64 b b) 17014118346046924/340282366920938463463374607431768211456) (-.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 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a))))) 1))
(if (<=.f64 a -2706797723400601/1125899906842624) (-.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 7336630678717859/633825300114114700748351602688) (-.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 (.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 -7672250822970817/4722366482869645213696) (-.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 7336630678717859/633825300114114700748351602688) (-.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 -7672250822970817/4722366482869645213696) (-.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 7336630678717859/633825300114114700748351602688) (-.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 -7672250822970817/4722366482869645213696) (-.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 7336630678717859/633825300114114700748351602688) (-.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 -7672250822970817/4722366482869645213696) (-.f64 (.f64 a (+.f64 (.f64 a 4) (.f64 (+.f64 a -4) (.f64 a a)))) 1) (if (<=.f64 a 7336630678717859/633825300114114700748351602688) (-.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 -7672250822970817/4722366482869645213696) (-.f64 (.f64 a (.f64 a (+.f64 4 (.f64 a (+.f64 a -4))))) 1) (if (<=.f64 a 7336630678717859/633825300114114700748351602688) (-.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 a (.f64 a (+.f64 4 (*.f64 a (+.f64 a -4))))) 1)
(if (<=.f64 a -2706797723400601/1125899906842624) (.f64 (.f64 a a) (+.f64 4 (.f64 a (-.f64 a 4)))) (if (<=.f64 a 767434291228611/562949953421312) (-.f64 (.f64 b (.f64 12 b)) 1) (.f64 (.f64 a a) (+.f64 4 (.f64 a (-.f64 a 4))))))
(if (<=.f64 a -2706797723400601/1125899906842624) (.f64 (.f64 a a) (.f64 a (+.f64 a -4))) (if (<=.f64 a 767434291228611/562949953421312) (-.f64 (.f64 b (.f64 12 b)) 1) (.f64 (.f64 a a) (.f64 a (+.f64 a -4)))))
(if (<=.f64 a -7672250822970817/4722366482869645213696) (-.f64 (.f64 a (.f64 a (.f64 a a))) 1) (if (<=.f64 a 767434291228611/562949953421312) (-.f64 (.f64 b (.f64 12 b)) 1) (-.f64 (.f64 a (.f64 a (.f64 a a))) 1)))
(if (<=.f64 a -2706797723400601/1125899906842624) (.f64 (.f64 a a) (.f64 a a)) (if (<=.f64 a 767434291228611/562949953421312) (-.f64 (.f64 b (.f64 12 b)) 1) (.f64 (.f64 a a) (.f64 a a))))
(-.f64 (.f64 b (.f64 12 b)) 1)

Outputs
(+.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 (+.f64 (+.f64 (.f64 (.f64 b b) (fma.f64 a (.f64 a 2) (.f64 b b))) (pow.f64 a 4)) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(+.f64 (+.f64 (+.f64 (.f64 (.f64 b b) (fma.f64 a (.f64 a 2) (.f64 b b))) (pow.f64 a 4)) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (+.f64 a 3) (*.f64 b b))))) -1)
(+.f64 -1 (+.f64 (+.f64 (.f64 (.f64 b b) (fma.f64 a (.f64 a 2) (.f64 b b))) (pow.f64 a 4)) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (+.f64 a 3) (*.f64 b b))))))
(-.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 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (+.f64 a 3) (.f64 b b)))) (pow.f64 (+.f64 (.f64 a a) (*.f64 b b)) 2)) -1)
(+.f64 -1 (+.f64 (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (+.f64 a 3) (.f64 b b)))) (pow.f64 (+.f64 (.f64 a a) (*.f64 b b)) 2)))
(if (<=.f64 (.f64 b b) 17014118346046924/340282366920938463463374607431768211456) (-.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 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a))))) 1))
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(-.f64 (.f64 a (.f64 a (+.f64 4 (*.f64 a (+.f64 a -4))))) 1)
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(-.f64 (.f64 b (.f64 12 b)) 1)
(+.f64 (.f64 b (.f64 b 12)) -1)
(+.f64 -1 (.f64 b (.f64 b 12)))

end268.0ms (2.8%)

Stop Event

1×

fuel

Compiler

Compiled 1404 to 850 computations (39.5% saved)