Details

analyze156.0ms (1.5%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
25%	25%	74.9%	0.1%	0%	0%	0%	6
29.6%	25%	59.3%	0.1%	15.6%	0%	0%	7
32.7%	25%	51.5%	0.1%	23.4%	0%	0%	8
36.8%	25%	42.9%	0.1%	32%	0%	0%	9
51.1%	28.1%	26.9%	0.1%	44.9%	0%	0%	10
61.6%	31.6%	19.7%	0.1%	48.6%	0%	0%	11
76.2%	33.4%	10.4%	0.1%	56.1%	0%	0%	12

Compiler

Compiled 32 to 20 computations (37.5% saved)

sample2.0s (18.8%)

Results

1.7s	8256×	body	256	valid
205.0ms	1005×	body	256	infinite

Bogosity

preprocess198.0ms (1.9%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	78
1	101	74
2	354	74
3	1251	74
4	3113	66
5	5502	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 (pow.f64 (fma.f64 a a (.f64 b b)) 2) (.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 b (*.f64 b (+.f64 a 3)))))) -1)
(+.f64 (pow.f64 (fma.f64 a a (.f64 b b)) 2) (fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (.f64 a (-.f64 1 a)))) -1))
(fma.f64 4 (fma.f64 a (-.f64 a (.f64 a a)) (.f64 b (*.f64 b (+.f64 a 3)))) (fma.f64 (hypot.f64 a b) (pow.f64 (hypot.f64 a b) 3) -1))
(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a (-.f64 a (.f64 a a)) (.f64 (*.f64 b b) (+.f64 a 3))) -1))
(fma.f64 4 (fma.f64 a (-.f64 a (.f64 a a)) (.f64 (*.f64 b b) (+.f64 a 3))) (+.f64 (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 (+.f64 (pow.f64 (fma.f64 a a (.f64 b b)) 2) (.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)

simplify63.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

602×	`fma-def_binary64`
567×	`cancel-sign-sub-inv_binary64`
399×	`associate-+l-_binary64`
388×	`associate--r-_binary64`
335×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	19	39
1	57	37
2	198	37
3	700	37
4	2287	33
5	4261	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 (pow.f64 (fma.f64 a a (.f64 b b)) 2) (fma.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 b (.f64 b (+.f64 a 3)))) -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))
(fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (-.f64 (.f64 a a) (pow.f64 a 3))) (fma.f64 (hypot.f64 a b) (pow.f64 (hypot.f64 a b) 3) -1))
(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (-.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)) (pow.f64 a 3)) -1))

eval2.0ms (0%)

Compiler: Compiled 54 to 33 computations (38.9% saved)

prune4.0ms (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 (-.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)) (pow.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 (-.f64 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)) (pow.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 36 computations (35.7% saved)

localize98.0ms (0.9%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 93 to 50 computations (46.2% saved)

series34.0ms (0.3%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
5.0ms	b	@	0	(pow.f64 (hypot.f64 a b) 4)
4.0ms	a	@	0	(pow.f64 (hypot.f64 a b) 4)
4.0ms	a	@	inf	(pow.f64 (hypot.f64 a b) 4)
3.0ms	b	@	inf	(pow.f64 (hypot.f64 a b) 4)
2.0ms	b	@	0	(fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a))

rewrite226.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

630×	`log-prod_binary64`
453×	`fma-def_binary64`
360×	`pow2_binary64`
247×	`pow1/3_binary64`
243×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	48
1	299	48
2	3853	48

Stop Event

1×	node limit

Counts

4 → 202

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 b b) (+.f64 a 3)) (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (.f64 b b) (+.f64 a 3)) 1) (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a))) (pow.f64 (cbrt.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a))) 2) (cbrt.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 a (sqrt.f64 (.f64 (.f64 b b) (+.f64 a 3)))) (hypot.f64 a (sqrt.f64 (.f64 (.f64 b b) (+.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 (.f64 b b) (+.f64 a 3)) 3) (pow.f64 a 6)) (+.f64 (pow.f64 (.f64 (.f64 b b) (+.f64 a 3)) 2) (-.f64 (pow.f64 a 4) (.f64 (.f64 (.f64 b b) (+.f64 a 3)) (.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 (.f64 b b) (+.f64 a 3)) 2) (pow.f64 a 4)) (-.f64 (.f64 (.f64 b b) (+.f64 a 3)) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 a (sqrt.f64 (.f64 (.f64 b b) (+.f64 a 3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (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 (pow.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 a) a) (exp.f64 (.f64 (.f64 b b) (+.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 a a))) (exp.f64 (.f64 (.f64 b b) (+.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (.f64 (.f64 b b) (+.f64 a 3))) (+.f64 1 (expm1.f64 (.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (hypot.f64 b a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 b a) 4))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 b a) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 b a) 4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 b a) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 b a) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (hypot.f64 b a) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (hypot.f64 b a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (hypot.f64 b a) 4)) (cbrt.f64 (pow.f64 (hypot.f64 b a) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (hypot.f64 b a) 8)) (cbrt.f64 (pow.f64 (hypot.f64 b a) 4)))))) (#(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 (cbrt.f64 (hypot.f64 b a)) 2) 4) (pow.f64 (cbrt.f64 (hypot.f64 b a)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (hypot.f64 b a)) 4) (pow.f64 (sqrt.f64 (hypot.f64 b a)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (hypot.f64 b a) 8))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (hypot.f64 b a) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 b a) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 b a) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 b a) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 4 (log.f64 (hypot.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 4 (log.f64 (hypot.f64 b a))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)) (neg.f64 (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)) (.f64 (neg.f64 (pow.f64 a 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (.f64 b b) (+.f64 a 3) (-.f64 (.f64 a a) (pow.f64 a 3))) (fma.f64 (neg.f64 (pow.f64 a 3)) 1 (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (.f64 b b) (+.f64 a 3) (-.f64 (.f64 a a) (pow.f64 a 3))) (+.f64 (neg.f64 (pow.f64 a 3)) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 b b) (+.f64 a 3)) (-.f64 (.f64 a a) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 a 3)) (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (.f64 b b) (+.f64 a 3) (-.f64 (.f64 a a) (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 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((x fma.f64 (neg.f64 (pow.f64 a 3/2)) (pow.f64 a 3/2) (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (pow.f64 a 3) (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (hypot.f64 a (sqrt.f64 (.f64 (.f64 b b) (+.f64 a 3)))) (pow.f64 a 3/2)) (-.f64 (hypot.f64 a (sqrt.f64 (.f64 (.f64 b b) (+.f64 a 3)))) (pow.f64 a 3/2)) (fma.f64 (neg.f64 (pow.f64 a 3)) 1 (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (hypot.f64 a (sqrt.f64 (.f64 (.f64 b b) (+.f64 a 3)))) (pow.f64 a 3/2)) (-.f64 (hypot.f64 a (sqrt.f64 (.f64 (.f64 b b) (+.f64 a 3)))) (pow.f64 a 3/2)) (+.f64 (neg.f64 (pow.f64 a 3)) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (sqrt.f64 b) (sqrt.f64 (.f64 b (+.f64 a 3)))) (.f64 (sqrt.f64 b) (sqrt.f64 (.f64 b (+.f64 a 3)))) (-.f64 (.f64 a a) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 b (pow.f64 (cbrt.f64 (.f64 b (+.f64 a 3))) 2)) (cbrt.f64 (.f64 b (+.f64 a 3))) (-.f64 (.f64 a a) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 b (sqrt.f64 (.f64 b (+.f64 a 3)))) (sqrt.f64 (.f64 b (+.f64 a 3))) (-.f64 (.f64 a a) (pow.f64 a 3)))))))
((#(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 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 a 3)) b)) 2)) (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)) (+.f64 (pow.f64 (.f64 b a) 2) (-.f64 (pow.f64 (.f64 b 3) 2) (.f64 (.f64 b a) (.f64 b 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 b a) 2) (pow.f64 (.f64 b 3) 2)) (-.f64 (.f64 b a) (.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 a 3) 27) b) (-.f64 (fma.f64 a a 9) (.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 a a -9) b) (+.f64 a -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 b (+.f64 (pow.f64 a 3) 27)) (-.f64 (fma.f64 a a 9) (.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 b (fma.f64 a a -9)) (+.f64 a -3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 b (+.f64 a 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 b (+.f64 a 3)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 b (+.f64 a 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 b (+.f64 a 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 b (+.f64 a 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 b 3) (pow.f64 (+.f64 a 3) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (+.f64 a 3) 3) (pow.f64 b 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 b (+.f64 a 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x 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 expm1.f64 (log1p.f64 (.f64 b (+.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 b (+.f64 a 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 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 (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 (pow.f64 (cbrt.f64 a) 2) (.f64 (cbrt.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 (sqrt.f64 a) (.f64 (sqrt.f64 a) b) (.f64 b 3))))) (#(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 (pow.f64 (cbrt.f64 (.f64 b a)) 2) (cbrt.f64 (.f64 b a)) (.f64 b 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 b 3)) 2) (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 (pow.f64 (cbrt.f64 a) 2)) (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))))))

simplify102.0ms (1%)

Algorithm

1×	egg-herbie

Rules

919×	`fma-def_binary64`
570×	`associate-+l+_binary64`
527×	`associate-+r+_binary64`
516×	`associate-l_binary64`
500×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	122	1553
1	388	1462
2	1423	1340
3	7744	1339

Stop Event

1×	node limit

Counts

298 → 250

Calls

Call 1

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

localize75.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
✓	0.1b	(.f64 (.f64 a a) (-.f64 1 a))
✓	0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
✓	0.7b	(.f64 (.f64 b b) (+.f64 3 a))

Compiler

Compiled 138 to 63 computations (54.3% saved)

series19.0ms (0.2%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	a	@	0	(.f64 (.f64 b b) (+.f64 3 a))
1.0ms	b	@	0	(.f64 (.f64 b b) (+.f64 3 a))
1.0ms	b	@	inf	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
1.0ms	b	@	0	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
1.0ms	a	@	0	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))

rewrite122.0ms (1.2%)

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	6136	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)))) (fma.f64 b (.f64 b 3) (neg.f64 (.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 (pow.f64 (.f64 (.f64 b b) (+.f64 3 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 b) b) (+.f64 3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 b b) (+.f64 3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (+.f64 3 a) 3) (pow.f64 b 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (.f64 b b) (+.f64 3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (.f64 b b) (+.f64 3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (.f64 b b) (+.f64 3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (.f64 b b) (+.f64 3 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x 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 +.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 (pow.f64 (cbrt.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 (pow.f64 (cbrt.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)) (pow.f64 (cbrt.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) (pow.f64 (cbrt.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 b) (-.f64 a b)) (.f64 (+.f64 a b) (-.f64 a 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 (+.f64 (pow.f64 a 4) (pow.f64 b 4)) (pow.f64 (.f64 a b) 2)) (-.f64 (+.f64 (pow.f64 a 4) (pow.f64 b 4)) (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 b) (-.f64 a b)) (-.f64 (+.f64 (pow.f64 a 4) (pow.f64 b 4)) (pow.f64 (.f64 a b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 a 6) (pow.f64 b 6)) (-.f64 (pow.f64 a 4) (pow.f64 b 4))) (.f64 (-.f64 (+.f64 (pow.f64 a 4) (pow.f64 b 4)) (pow.f64 (.f64 a b) 2)) (.f64 (+.f64 a b) (-.f64 a 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 (+.f64 (pow.f64 a 4) (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 b) (-.f64 a 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 (+.f64 (pow.f64 a 4) (pow.f64 b 4)) (pow.f64 (.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (hypot.f64 b a) 2) (-.f64 (pow.f64 a 4) (pow.f64 b 4))) (.f64 (+.f64 a b) (-.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a a) (.f64 (neg.f64 a) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a a) (.f64 (.f64 a a) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 a (.f64 a (-.f64 1 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (pow.f64 a 3)) (.f64 a a)) (+.f64 1 (fma.f64 a a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (.f64 a a)) (.f64 a a)) (+.f64 a 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 a a) (-.f64 1 (pow.f64 a 3))) (+.f64 1 (fma.f64 a a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 a a) (-.f64 1 (.f64 a a))) (+.f64 a 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a (.f64 a (-.f64 1 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 a (.f64 a (-.f64 1 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a (sqrt.f64 (-.f64 1 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (-.f64 1 a) 3) (pow.f64 a 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 a 4) (pow.f64 (-.f64 1 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 a) a) (-.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 a (.f64 a (-.f64 1 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (-.f64 1 a) 3) (pow.f64 a 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 a (.f64 a (-.f64 1 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 a (.f64 a (-.f64 1 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 a (.f64 a (-.f64 1 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 a (*.f64 a (-.f64 1 a)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4) (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (.f64 -4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a))))))) (/.f64 (.f64 16 (pow.f64 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) 2)) (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (.f64 -4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 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(hypot.f64 b a) 2) 4)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 b a) 2)) 2) (.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 2 (hypot.f64 (.f64 a (sqrt.f64 (-.f64 1 a))) (.f64 b (sqrt.f64 (+.f64 3 a))))) (.f64 2 (hypot.f64 (.f64 a (sqrt.f64 (-.f64 1 a))) (*.f64 b (sqrt.f64 (+.f64 3 a))))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))))

simplify74.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

702×	`associate-+l+_binary64`
701×	`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	179	1360
2	501	1290
3	1961	1277
4	5770	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 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(*.f64 3 (pow.f64 b 2))
(.f64 (.f64 b b) 3)
(.f64 b (.f64 b 3))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(*.f64 a (pow.f64 b 2))
(.f64 (.f64 b b) a)
(.f64 b (.f64 b a))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(*.f64 a (pow.f64 b 2))
(.f64 (.f64 b b) a)
(.f64 b (.f64 b a))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(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 (.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 b 4) (fma.f64 2 (.f64 (.f64 a b) (*.f64 a b)) (pow.f64 a 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (.f64 2 (*.f64 a a))) (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 b 4) (fma.f64 2 (.f64 (.f64 a b) (*.f64 a b)) (pow.f64 a 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (.f64 2 (*.f64 a a))) (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))
(+.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 b 4) (fma.f64 2 (.f64 (.f64 a b) (*.f64 a b)) (pow.f64 a 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (.f64 2 (*.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 b 4) (fma.f64 2 (.f64 (.f64 a b) (*.f64 a b)) (pow.f64 a 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (.f64 2 (*.f64 a a))) (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))
(+.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 b 4) (fma.f64 2 (.f64 (.f64 a b) (*.f64 a b)) (pow.f64 a 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (.f64 2 (*.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 b 4) (fma.f64 2 (.f64 (.f64 a b) (*.f64 a b)) (pow.f64 a 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (.f64 2 (*.f64 a a))) (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))
(+.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 b 4) (fma.f64 2 (.f64 (.f64 a b) (*.f64 a b)) (pow.f64 a 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (.f64 2 (*.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 b 4) (fma.f64 2 (.f64 (.f64 a b) (*.f64 a b)) (pow.f64 a 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (.f64 2 (*.f64 a a))) (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 (.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 b 4) (fma.f64 2 (.f64 (.f64 a b) (*.f64 a b)) (pow.f64 a 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (.f64 2 (*.f64 a a))) (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 b 4) (fma.f64 2 (.f64 (.f64 a b) (*.f64 a b)) (pow.f64 a 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (.f64 2 (*.f64 a a))) (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 (.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 b 4) (fma.f64 2 (.f64 (.f64 a b) (*.f64 a b)) (pow.f64 a 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (.f64 2 (*.f64 a a))) (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 b 4) (fma.f64 2 (.f64 (.f64 a b) (*.f64 a b)) (pow.f64 a 4)))
(fma.f64 (.f64 b b) (fma.f64 b b (.f64 2 (*.f64 a a))) (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))
(.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 (*.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 b (.f64 b 2) 4) (fma.f64 (*.f64 b b) (fma.f64 a 4 12) (pow.f64 b 4)))
(fma.f64 a (.f64 a (fma.f64 b (.f64 b 2) 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 (.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 b 4)))
(fma.f64 (.f64 b 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))
(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)))
(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 b (.f64 b 2) 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 b (.f64 b a)) 4 (pow.f64 a 4))))
(+.f64 (.f64 (pow.f64 a 3) (+.f64 a -4)) (.f64 a (+.f64 (.f64 b (.f64 b 4)) (.f64 a (fma.f64 2 (.f64 b b) 4)))))
(+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 (.f64 b a) (+.f64 4 (*.f64 2 a)))))
(+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 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)))
(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 b (.f64 b 2) 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 b (.f64 b a)) 4 (pow.f64 a 4))))
(+.f64 (.f64 (pow.f64 a 3) (+.f64 a -4)) (.f64 a (+.f64 (.f64 b (.f64 b 4)) (.f64 a (fma.f64 2 (.f64 b b) 4)))))
(+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 (.f64 b a) (+.f64 4 (*.f64 2 a)))))
(+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 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 a (.f64 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 4 a))) (.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 a (*.f64 a (-.f64 1 a))) (pow.f64 a 4)))
(fma.f64 (-.f64 1 a) (.f64 a (.f64 a 4)) (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 4 a))) (.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 a (*.f64 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 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 4 a))) (.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 a (*.f64 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 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 4 a))) (*.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))
(+.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 4 a))) (.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 a (*.f64 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 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 4 a))) (.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 a (*.f64 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 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 4 a))) (*.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))
(+.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 4 a))) (.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 a (*.f64 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 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 4 a))) (.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 a (*.f64 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 2 (.f64 a a) (fma.f64 a 4 12))) (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))))

eval391.0ms (3.7%)

Compiler: Compiled 13234 to 7944 computations (40% saved)

prune78.0ms (0.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	394	11	405
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	396	11	407

Error

Counts

407 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	11.3b	(-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1)
▶	1.2b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a))))) 1)
▶	10.7b	(-.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)
	34.3b	(-.f64 (+.f64 (/.f64 (.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4)) (-.f64 (pow.f64 a 4) (pow.f64 b 4))) (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (.f64 (+.f64 a b) (-.f64 a b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
	12.0b	(-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 b (.f64 a (+.f64 4 (*.f64 2 a)))))) 1)
▶	12.0b	(-.f64 (.f64 (.f64 a a) (+.f64 (fma.f64 b (.f64 b 2) 4) (.f64 a (+.f64 a -4)))) 1)
▶	12.7b	(-.f64 (*.f64 (pow.f64 a 3) (+.f64 a -4)) 1)
	11.6b	(+.f64 (sqrt.f64 (pow.f64 (hypot.f64 b a) 8)) (fma.f64 4 (-.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)) (pow.f64 a 3)) -1))
	10.9b	(-.f64 (+.f64 (fma.f64 2 (.f64 (.f64 a b) (.f64 a b)) (pow.f64 a 4)) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 3 a))))) 1)
	11.0b	(-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)

Compiler

Compiled 550 to 370 computations (32.7% saved)

localize36.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a))))
✓	0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a)))))
	0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
	0.7b	(.f64 (.f64 b b) (+.f64 3 a))

Compiler

Compiled 112 to 46 computations (58.9% saved)

series8.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	b	@	inf	(.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a))))
1.0ms	a	@	0	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a)))))
0.0ms	b	@	inf	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a)))))
0.0ms	b	@	0	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a)))))
0.0ms	a	@	inf	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a)))))

rewrite114.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

792×	`log-prod_binary64`
418×	`fma-neg_binary64`
293×	`expm1-udef_binary64`
293×	`log1p-udef_binary64`
238×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	47
1	355	44
2	5214	44

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

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

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

simplify193.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

889×	`distribute-rgt-out_binary64`
859×	`distribute-rgt-in_binary64`
515×	`associate-+l+_binary64`
474×	`associate-l_binary64`
444×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	1105
1	164	960
2	456	886
3	1742	884
4	4318	884
5	6486	884
6	6579	884
7	6696	884
8	6855	884
9	7067	884
10	7346	884

Stop Event

1×	node limit

Counts

119 → 106

Calls

Call 1

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

localize32.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 48 to 30 computations (37.5% saved)

series9.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	a	@	-inf	(.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4))))
1.0ms	a	@	0	(.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4))))
1.0ms	a	@	inf	(.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4))))
1.0ms	a	@	inf	(*.f64 a (+.f64 a -4))
1.0ms	a	@	0	(*.f64 a (+.f64 a -4))

rewrite108.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	212	21
2	2946	21

Stop Event

1×	node limit

Counts

2 → 114

Calls

Call 1

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

Outputs

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

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

simplify166.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1159×	`distribute-rgt-out_binary64`
675×	`associate-r_binary64`
466×	`fma-def_binary64`
452×	`associate-+l+_binary64`
442×	`associate-+r+_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	16	243
1	42	234
2	91	225
3	263	211
4	846	205
5	2832	205
6	3038	205
7	3300	205
8	4145	205
9	5868	205
10	6402	205

Stop Event

1×	node limit

Counts

138 → 129

Calls

Call 1

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

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

localize23.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 28 to 21 computations (25% saved)

series5.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite64.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

774×	`pow1_binary64`
729×	`add-log-exp_binary64`
729×	`log1p-expm1-u_binary64`
729×	`expm1-log1p-u_binary64`
715×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	164	14
2	1996	14

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

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

Outputs

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

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

simplify169.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1071×	`sqr-pow_binary64`
577×	`pow-sqr_binary64`
567×	`fabs-mul_binary64`
542×	`cube-prod_binary64`
528×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	114
1	23	114
2	51	114
3	103	105
4	239	105
5	914	105
6	2018	105
7	2431	105
8	2591	105
9	2773	105
10	3013	105
11	3324	105
12	3710	105
13	4192	105
14	4823	105
15	5623	105
16	6025	105
17	6385	105
18	6683	105
19	6925	105
20	7075	105

Stop Event

1×	node limit

Counts

55 → 47

Calls

Call 1

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

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

localize29.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(*.f64 a (+.f64 a -4))
✓	0.5b	(.f64 (.f64 a a) (+.f64 (fma.f64 b (.f64 b 2) 4) (.f64 a (+.f64 a -4))))

Compiler

Compiled 74 to 46 computations (37.8% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite90.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

668×	`log-prod_binary64`
635×	`fma-def_binary64`
363×	`pow2_binary64`
252×	`pow1/3_binary64`
245×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	23
1	290	21
2	3957	21

Stop Event

1×	node limit

Counts

1 → 65

Calls

Call 1

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

Outputs

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

simplify134.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

519×	`distribute-rgt-in_binary64`
482×	`distribute-rgt-out_binary64`
466×	`fma-def_binary64`
451×	`unswap-sqr_binary64`
435×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	26	482
1	68	480
2	172	447
3	607	415
4	2656	415
5	5415	415
6	7092	415
7	7261	415
8	7483	415
9	7727	415

Stop Event

1×	node limit

Counts

89 → 79

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)))

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

localize77.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (pow.f64 b 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
✓	0.0b	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
	0.1b	(.f64 (.f64 a a) (-.f64 1 a))
	0.7b	(.f64 (.f64 b b) (+.f64 3 a))

Compiler

Compiled 112 to 61 computations (45.5% saved)

series13.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite136.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	52
1	371	50
2	5383	50

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) (pow.f64 b 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 b 8) (+.f64 (pow.f64 b 4) (*.f64 -4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3))))))) (/.f64 (*.f64 16 (pow.f64 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) 2)) (+.f64 (pow.f64 b 4) (*.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 1 (fma.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) (pow.f64 b 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) (pow.f64 b 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) (pow.f64 b 4))) (pow.f64 (cbrt.f64 (fma.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) (pow.f64 b 4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) (pow.f64 b 4))) 2) (cbrt.f64 (fma.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) (pow.f64 b 4))) (sqrt.f64 (fma.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 b 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 b 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 b 4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 b 8) (*.f64 16 (pow.f64 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) 2))) (/.f64 1 (+.f64 (pow.f64 b 4) (*.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 1 (/.f64 (+.f64 (pow.f64 b 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 b 4))))) (+.f64 (pow.f64 b 12) (*.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 /.f64 1 (/.f64 (+.f64 (pow.f64 b 4) (*.f64 -4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))))) (-.f64 (pow.f64 b 8) (*.f64 16 (pow.f64 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b 12) (*.f64 64 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3)))) (pow.f64 b 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3))))) (pow.f64 b 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 b 4) (*.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 (*.f64 b b) (*.f64 b b) (*.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 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) 4 (pow.f64 b 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 b 8)) (cbrt.f64 (pow.f64 b 4)) (*.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 (cbrt.f64 (*.f64 16 (pow.f64 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) 2))) (cbrt.f64 (*.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))))) (pow.f64 b 4))))) (#(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))))) (pow.f64 b 4))))))

simplify101.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	45	1076
1	138	964
2	388	885
3	1387	868
4	3121	868
5	4959	868

Stop Event

1×	node limit

Counts

119 → 100

Calls

Call 1

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

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

eval331.0ms (3.2%)

Compiler: Compiled 16163 to 10165 computations (37.1% saved)

prune109.0ms (1%)

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	635	15	650
Fresh	5	1	6
Picked	1	0	1
Done	2	2	4
Total	643	18	661

Error

Counts

661 → 18

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.3b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 12 (.f64 b b))) 1)
✓	12.2b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
	13.3b	(-.f64 (pow.f64 a 4) 1)
	12.0b	(-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 b (.f64 a (+.f64 4 (*.f64 2 a)))))) 1)
	12.0b	(-.f64 (.f64 a (.f64 a (fma.f64 2 (*.f64 b b) (fma.f64 a (+.f64 a -4) 4)))) 1)
	12.2b	(-.f64 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4))) 1)
	11.3b	(-.f64 (+.f64 (pow.f64 b 4) (.f64 12 (.f64 b b))) 1)
✓	12.7b	(-.f64 (*.f64 (pow.f64 a 3) (+.f64 a -4)) 1)
▶	12.7b	(-.f64 (.f64 (.f64 (*.f64 a a) a) (+.f64 a -4)) 1)
▶	11.3b	(-.f64 (.f64 b (.f64 b (fma.f64 b b 12))) 1)
▶	22.4b	(-.f64 (.f64 4 (.f64 a a)) 1)
▶	13.1b	(-.f64 (.f64 (.f64 a a) (+.f64 (fma.f64 b (.f64 b 2) 4) (.f64 a a))) 1)
	22.6b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a -4))) 1)
	12.0b	(-.f64 (.f64 (.f64 a a) (+.f64 (fma.f64 b (.f64 b 2) 4) (fma.f64 a a (.f64 a -4)))) 1)
	12.5b	(-.f64 (pow.f64 b 4) 1)
	12.2b	(-.f64 (+.f64 (.f64 (+.f64 a -4) (pow.f64 a 3)) (.f64 (*.f64 a a) 4)) 1)
	13.3b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)
	22.9b	(-.f64 (.f64 2 (.f64 b (.f64 b (.f64 a a)))) 1)

Compiler

Compiled 496 to 350 computations (29.4% saved)

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 12 (.f64 b b)))
✓	0.2b	(.f64 12 (.f64 b b))
	0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

Compiler

Compiled 66 to 24 computations (63.6% saved)

series4.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	b	@	inf	(.f64 12 (.f64 b b))
1.0ms	b	@	0	(.f64 12 (.f64 b b))
0.0ms	a	@	0	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 12 (.f64 b b)))
0.0ms	a	@	inf	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 12 (.f64 b b)))
0.0ms	b	@	inf	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 12 (.f64 b b)))

rewrite74.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

520×	`log-prod_binary64`
459×	`fma-def_binary64`
378×	`pow-prod-down_binary64`
297×	`pow2_binary64`
214×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	245	24
2	3239	21

Stop Event

1×	node limit

Counts

2 → 83

Calls

Call 1

Inputs
(.f64 12 (.f64 b b))
(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.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 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 b) (*.f64 12 b))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 b) (*.f64 12 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 b) (*.f64 12 b)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 b) (*.f64 12 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.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 (*.f64 144 (pow.f64 b 4)) 1/2)))) (#(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 pow.f64 (*.f64 1728 (pow.f64 b 6)) 1/3)))) (#(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 b) (*.f64 12 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 12 (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1728 (pow.f64 b 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.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 exp.f64 (log.f64 (*.f64 12 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 12 (*.f64 b b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 12 (*.f64 b b)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 b (sqrt.f64 12))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1728 (pow.f64 b 6))) 1/3))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 12 (*.f64 b b) (pow.f64 (hypot.f64 b a) 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (hypot.f64 b a) 8) (+.f64 (pow.f64 (hypot.f64 b a) 4) (*.f64 -12 (*.f64 b b)))) (/.f64 (*.f64 144 (pow.f64 b 4)) (+.f64 (pow.f64 (hypot.f64 b a) 4) (*.f64 -12 (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 12 (*.f64 b b) (pow.f64 (hypot.f64 b a) 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 12 (*.f64 b b) (pow.f64 (hypot.f64 b a) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 12 (*.f64 b b) (pow.f64 (hypot.f64 b a) 4))) (pow.f64 (cbrt.f64 (fma.f64 12 (*.f64 b b) (pow.f64 (hypot.f64 b a) 4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 12 (*.f64 b b) (pow.f64 (hypot.f64 b a) 4))) 2) (cbrt.f64 (fma.f64 12 (*.f64 b b) (pow.f64 (hypot.f64 b a) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (pow.f64 (hypot.f64 b a) 2) (*.f64 b (sqrt.f64 12))) (hypot.f64 (pow.f64 (hypot.f64 b a) 2) (*.f64 b (sqrt.f64 12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1728 (pow.f64 b 6) (pow.f64 (hypot.f64 b a) 12)) (/.f64 1 (fma.f64 (*.f64 12 (*.f64 b b)) (-.f64 (*.f64 12 (*.f64 b b)) (pow.f64 (hypot.f64 b a) 4)) (pow.f64 (hypot.f64 b a) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (hypot.f64 b a) 8) (*.f64 144 (pow.f64 b 4))) (/.f64 1 (+.f64 (pow.f64 (hypot.f64 b a) 4) (*.f64 -12 (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 12 (*.f64 b b)) (-.f64 (*.f64 12 (*.f64 b b)) (pow.f64 (hypot.f64 b a) 4)) (pow.f64 (hypot.f64 b a) 8)) (fma.f64 1728 (pow.f64 b 6) (pow.f64 (hypot.f64 b a) 12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (hypot.f64 b a) 4) (*.f64 -12 (*.f64 b b))) (-.f64 (pow.f64 (hypot.f64 b a) 8) (*.f64 144 (pow.f64 b 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1728 (pow.f64 b 6) (pow.f64 (hypot.f64 b a) 12)) (fma.f64 (*.f64 12 (*.f64 b b)) (-.f64 (*.f64 12 (*.f64 b b)) (pow.f64 (hypot.f64 b a) 4)) (pow.f64 (hypot.f64 b a) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1728 (pow.f64 b 6) (pow.f64 (hypot.f64 b a) 12)) (fma.f64 144 (pow.f64 b 4) (-.f64 (pow.f64 (hypot.f64 b a) 8) (*.f64 (*.f64 (pow.f64 (hypot.f64 b a) 4) (*.f64 b b)) 12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (hypot.f64 b a) 8) (*.f64 144 (pow.f64 b 4))) (+.f64 (pow.f64 (hypot.f64 b a) 4) (*.f64 -12 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 1728 (pow.f64 b 6) (pow.f64 (hypot.f64 b a) 12))) (neg.f64 (fma.f64 (*.f64 12 (*.f64 b b)) (-.f64 (*.f64 12 (*.f64 b b)) (pow.f64 (hypot.f64 b a) 4)) (pow.f64 (hypot.f64 b a) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 b a) 8) (*.f64 144 (pow.f64 b 4)))) (neg.f64 (+.f64 (pow.f64 (hypot.f64 b a) 4) (*.f64 -12 (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 144 (pow.f64 b 4)) (pow.f64 (hypot.f64 b a) 8)) (-.f64 (*.f64 12 (*.f64 b b)) (pow.f64 (hypot.f64 b a) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 12 (*.f64 b b) (pow.f64 (hypot.f64 b a) 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 12 (*.f64 b b) (pow.f64 (hypot.f64 b a) 4)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 12 (*.f64 b b) (pow.f64 (hypot.f64 b a) 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 12 (*.f64 b b) (pow.f64 (hypot.f64 b a) 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (pow.f64 (hypot.f64 b a) 2) (*.f64 b (sqrt.f64 12))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 12 (*.f64 b b)) (-.f64 (*.f64 12 (*.f64 b b)) (pow.f64 (hypot.f64 b a) 4)) (pow.f64 (hypot.f64 b a) 8)) (fma.f64 1728 (pow.f64 b 6) (pow.f64 (hypot.f64 b a) 12))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 b a) 4) (*.f64 -12 (*.f64 b b))) (-.f64 (pow.f64 (hypot.f64 b a) 8) (*.f64 144 (pow.f64 b 4)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 12 (*.f64 b b) (pow.f64 (hypot.f64 b a) 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 12 (*.f64 b b) (pow.f64 (hypot.f64 b a) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 12 (*.f64 b b) (pow.f64 (hypot.f64 b a) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 12 (*.f64 b b)))) (exp.f64 (pow.f64 (hypot.f64 b a) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 b) (*.f64 12 b)) (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 b a) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 12 (*.f64 b b)))) (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 b a) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 b a) 4))) (pow.f64 (exp.f64 b) (*.f64 12 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (pow.f64 (hypot.f64 b a) 4)) (+.f64 1 (expm1.f64 (*.f64 12 (*.f64 b b))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 b a) 4))) (+.f64 1 (expm1.f64 (*.f64 12 (*.f64 b b))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 12 (*.f64 b b) (pow.f64 (hypot.f64 b a) 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 12 (*.f64 b b) (pow.f64 (hypot.f64 b a) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 12 (*.f64 b b) (pow.f64 (hypot.f64 b a) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 12 (*.f64 b b) (pow.f64 (hypot.f64 b a) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 12 (*.f64 b b) (pow.f64 (hypot.f64 b a) 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 12 (*.f64 b b) (pow.f64 (hypot.f64 b a) 4)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 12 (*.f64 b b) (pow.f64 (hypot.f64 b a) 4)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 (pow.f64 (hypot.f64 b a) 2) (*.f64 b (sqrt.f64 12)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 12 (*.f64 b b) (pow.f64 (hypot.f64 b a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b (*.f64 12 b) (pow.f64 (hypot.f64 b a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b b) 12 (pow.f64 (hypot.f64 b a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 12 (*.f64 b b)) 1 (pow.f64 (hypot.f64 b a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (hypot.f64 b a) 2) (pow.f64 (hypot.f64 b a) 2) (*.f64 12 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (hypot.f64 b a) 4) 1 (*.f64 12 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 12 (*.f64 b b)) (pow.f64 (hypot.f64 b a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (hypot.f64 b a) 4) (*.f64 12 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 12 (*.f64 b b))) (cbrt.f64 (*.f64 144 (pow.f64 b 4))) (pow.f64 (hypot.f64 b a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 144 (pow.f64 b 4))) (cbrt.f64 (*.f64 12 (*.f64 b b))) (pow.f64 (hypot.f64 b a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 b a) 4)) (cbrt.f64 (pow.f64 (hypot.f64 b a) 8)) (*.f64 12 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 b a) 8)) (cbrt.f64 (pow.f64 (hypot.f64 b a) 4)) (*.f64 12 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 b) b) (*.f64 (pow.f64 (cbrt.f64 b) 2) 12) (pow.f64 (hypot.f64 b a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 b a) (pow.f64 (hypot.f64 b a) 3) (*.f64 12 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (sqrt.f64 12)) (*.f64 b (sqrt.f64 12)) (pow.f64 (hypot.f64 b a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 12 b) b (pow.f64 (hypot.f64 b a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (hypot.f64 b a) 3) (hypot.f64 b a) (*.f64 12 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 12 (*.f64 (cbrt.f64 b) b)) (pow.f64 (cbrt.f64 b) 2) (pow.f64 (hypot.f64 b a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 12 b) 1) b (pow.f64 (hypot.f64 b a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 12 b) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (pow.f64 (hypot.f64 b a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 12 b) (sqrt.f64 b)) (sqrt.f64 b) (pow.f64 (hypot.f64 b a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 4) 5/6) (cbrt.f64 (pow.f64 (hypot.f64 b a) 2)) (*.f64 12 (*.f64 b b)))))))

simplify125.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

653×	`*-commutative_binary64`
617×	`distribute-rgt-in_binary64`
579×	`associate-+l+_binary64`
576×	`distribute-lft-in_binary64`
575×	`associate-+r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	601
1	82	509
2	194	485
3	636	485
4	2079	485
5	3135	485
6	3289	485
7	3513	485
8	3934	485
9	4782	485
10	6436	485
11	7821	485

Stop Event

1×	node limit

Counts

119 → 101

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

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 11 computations (45% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite55.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

645×	`pow1_binary64`
604×	`add-log-exp_binary64`
602×	`log1p-expm1-u_binary64`
602×	`expm1-log1p-u_binary64`
592×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	149	15
2	1748	15

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

Outputs

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

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

simplify184.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1082×	`sqr-pow_binary64`
617×	`cube-prod_binary64`
551×	`fabs-mul_binary64`
523×	`pow-sqr_binary64`
452×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	171
1	19	171
2	30	171
3	55	171
4	119	171
5	349	171
6	1281	171
7	2177	171
8	2341	171
9	2525	171
10	2733	171
11	3032	171
12	3423	171
13	3906	171
14	4472	171
15	5158	171
16	5991	171
17	6383	171
18	6671	171
19	6947	171
20	7019	171
21	7055	171
22	7996	171

Stop Event

1×	node limit

Counts

70 → 50

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 36 to 16 computations (55.6% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite62.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

767×	`pow1_binary64`
720×	`add-log-exp_binary64`
720×	`log1p-expm1-u_binary64`
720×	`expm1-log1p-u_binary64`
704×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	155	14
2	2059	14

Stop Event

1×	node limit

Counts

2 → 35

Calls

Call 1

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

Outputs

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

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

simplify180.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1071×	`sqr-pow_binary64`
577×	`pow-sqr_binary64`
567×	`fabs-mul_binary64`
542×	`cube-prod_binary64`
528×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	162
1	23	162
2	51	162
3	103	153
4	239	153
5	914	153
6	2018	153
7	2431	153
8	2591	153
9	2773	153
10	3013	153
11	3324	153
12	3710	153
13	4192	153
14	4823	153
15	5623	153
16	6025	153
17	6385	153
18	6683	153
19	6925	153
20	7075	153

Stop Event

1×	node limit

Counts

59 → 39

Calls

Call 1

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

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 33 to 19 computations (42.4% saved)

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	@	inf	(*.f64 b (fma.f64 b b 12))

rewrite50.0ms (0.5%)

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 expm1.f64 (log1p.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 exp.f64 (log.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 expm1.f64 (log1p.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 exp.f64 (log.f64 (*.f64 b (fma.f64 b b 12))))))))

simplify176.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1034×	`sqr-pow_binary64`
624×	`fma-def_binary64`
499×	`cube-prod_binary64`
470×	`pow-sqr_binary64`
464×	`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	385	198
5	1833	198
6	2768	198
7	3171	198
8	3432	198
9	3743	198
10	4154	198
11	4747	198
12	5398	198
13	6172	198
14	6555	198
15	6885	198
16	7157	198
17	7329	198
18	7419	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 (fma.f64 b b 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 (fma.f64 b b 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 (fma.f64 b b 12) (.f64 b b))
(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 (fma.f64 b b 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 (fma.f64 b b 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 (fma.f64 b b 12) (.f64 b b))
(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 (fma.f64 b b 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 (fma.f64 b b 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 (fma.f64 b b 12) (.f64 b b))
(*.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))

localize20.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.5b	(.f64 (.f64 a a) (+.f64 (fma.f64 b (.f64 b 2) 4) (.f64 a a)))

Compiler

Compiled 59 to 31 computations (47.5% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite69.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

672×	`prod-diff_binary64`
483×	`log-prod_binary64`
351×	`pow-prod-down_binary64`
320×	`fma-def_binary64`
266×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	214	18
2	2772	18

Stop Event

1×	node limit

Counts

1 → 51

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 a 4) (*.f64 a (*.f64 a (fma.f64 b (+.f64 b b) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (*.f64 a (fma.f64 b (+.f64 b b) 4))) (pow.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 a (*.f64 a (fma.f64 b (+.f64 b b) 4)) (pow.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a (*.f64 a (fma.f64 b (+.f64 b b) 4))) 1) (*.f64 (pow.f64 a 4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (fma.f64 a (fma.f64 b (+.f64 b b) 4) (pow.f64 a 3)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (fma.f64 a (fma.f64 b (+.f64 b b) 4) (pow.f64 a 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (fma.f64 a (fma.f64 b (+.f64 b b) 4) (pow.f64 a 3))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (fma.f64 a (fma.f64 b (+.f64 b b) 4) (pow.f64 a 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 a (*.f64 a (fma.f64 b (+.f64 b b) 4)) (pow.f64 a 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 (fma.f64 b (+.f64 b b) 4) 3) (pow.f64 a 6)) (pow.f64 a 12)) (+.f64 (*.f64 (pow.f64 (fma.f64 b (+.f64 b b) 4) 2) (pow.f64 a 4)) (-.f64 (pow.f64 a 8) (*.f64 (*.f64 a (*.f64 a (fma.f64 b (+.f64 b b) 4))) (pow.f64 a 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 b (+.f64 b b) 4) 2) (pow.f64 a 4)) (pow.f64 a 8)) (-.f64 (*.f64 a (*.f64 a (fma.f64 b (+.f64 b b) 4))) (pow.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 b (+.f64 b b) 4) 3) (pow.f64 a 6)) (*.f64 a a)) (fma.f64 (*.f64 a a) (-.f64 (*.f64 a a) (fma.f64 b (+.f64 b b) 4)) (pow.f64 (fma.f64 b (+.f64 b b) 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 b (+.f64 b b) 4) 2) (pow.f64 a 4)) (*.f64 a a)) (-.f64 (fma.f64 b (+.f64 b b) 4) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a a) (+.f64 (pow.f64 (fma.f64 b (+.f64 b b) 4) 3) (pow.f64 a 6))) (fma.f64 (*.f64 a a) (-.f64 (*.f64 a a) (fma.f64 b (+.f64 b b) 4)) (pow.f64 (fma.f64 b (+.f64 b b) 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a a) (-.f64 (pow.f64 (fma.f64 b (+.f64 b b) 4) 2) (pow.f64 a 4))) (-.f64 (fma.f64 b (+.f64 b b) 4) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a (*.f64 a (fma.f64 b (+.f64 b b) 4)) (pow.f64 a 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (hypot.f64 a (sqrt.f64 (fma.f64 b (+.f64 b b) 4)))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (hypot.f64 a (sqrt.f64 (fma.f64 b (+.f64 b b) 4)))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 a (*.f64 a (fma.f64 b (+.f64 b b) 4)) (pow.f64 a 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (hypot.f64 a (sqrt.f64 (fma.f64 b (+.f64 b b) 4)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a (hypot.f64 a (sqrt.f64 (fma.f64 b (+.f64 b b) 4)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (fma.f64 a (fma.f64 b (+.f64 b b) 4) (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 a (*.f64 a (fma.f64 b (+.f64 b b) 4)) (pow.f64 a 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (pow.f64 a 4)) (exp.f64 (*.f64 a (*.f64 a (fma.f64 b (+.f64 b b) 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (hypot.f64 a (sqrt.f64 (fma.f64 b (+.f64 b b) 4)))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 a (*.f64 a (fma.f64 b (+.f64 b b) 4)) (pow.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 a (*.f64 a (fma.f64 b (+.f64 b b) 4)) (pow.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 a (*.f64 a (fma.f64 b (+.f64 b b) 4)) (pow.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 a (*.f64 a (fma.f64 b (+.f64 b b) 4)) (pow.f64 a 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 a (hypot.f64 a (sqrt.f64 (fma.f64 b (+.f64 b b) 4)))) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 a (*.f64 a (fma.f64 b (+.f64 b b) 4)) (pow.f64 a 4)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (hypot.f64 a (sqrt.f64 (fma.f64 b (+.f64 b b) 4))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (pow.f64 a 3) (*.f64 a (*.f64 a (fma.f64 b (+.f64 b b) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (*.f64 a (fma.f64 b (+.f64 b b) 4)) (pow.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 a (*.f64 a (fma.f64 b (+.f64 b b) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a a) (fma.f64 b (+.f64 b b) 4) (pow.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 b (+.f64 b b) 4) (*.f64 a a) (pow.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 a 4) (*.f64 a (*.f64 a (fma.f64 b (+.f64 b b) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 a (*.f64 a (fma.f64 b (+.f64 b b) 4))) (pow.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a 3) a (*.f64 a (*.f64 a (fma.f64 b (+.f64 b b) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 b (+.f64 b b) 4) 2)) (*.f64 (cbrt.f64 (fma.f64 b (+.f64 b b) 4)) (*.f64 a a)) (pow.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 a) a) (pow.f64 (*.f64 (cbrt.f64 a) a) 2) (*.f64 a (*.f64 a (fma.f64 b (+.f64 b b) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 a) a) (*.f64 (pow.f64 (cbrt.f64 a) 2) (fma.f64 b (+.f64 b b) 4)) (pow.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 b (+.f64 b b) 4)) (*.f64 (sqrt.f64 (fma.f64 b (+.f64 b b) 4)) (*.f64 a a)) (pow.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (*.f64 a (fma.f64 b (+.f64 b b) 4))) 1 (*.f64 (pow.f64 a 4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (cbrt.f64 a) a) 2) (*.f64 (cbrt.f64 a) a) (*.f64 a (*.f64 a (fma.f64 b (+.f64 b b) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 a (*.f64 a (fma.f64 b (+.f64 b b) 4)))) 2) (cbrt.f64 (*.f64 a (*.f64 a (fma.f64 b (+.f64 b b) 4)))) (pow.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (sqrt.f64 (fma.f64 b (+.f64 b b) 4))) (*.f64 a (sqrt.f64 (fma.f64 b (+.f64 b b) 4))) (pow.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (fma.f64 b (+.f64 b b) 4) a) a (pow.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (fma.f64 b (+.f64 b b) 4) (*.f64 (cbrt.f64 a) a)) (pow.f64 (cbrt.f64 a) 2) (pow.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 a) 2) 5) (pow.f64 (cbrt.f64 a) 2) (*.f64 a (*.f64 a (fma.f64 b (+.f64 b b) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 a (cbrt.f64 (fma.f64 b (+.f64 b b) 4))) 2) (cbrt.f64 (fma.f64 b (+.f64 b b) 4)) (pow.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a a) (sqrt.f64 (fma.f64 b (+.f64 b b) 4))) (sqrt.f64 (fma.f64 b (+.f64 b b) 4)) (pow.f64 a 4))))))

simplify127.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

738×	`distribute-rgt-in_binary64`
600×	`distribute-lft-in_binary64`
568×	`fma-def_binary64`
563×	`*-commutative_binary64`
448×	`sqr-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	385
1	41	383
2	115	383
3	367	383
4	1505	383
5	3180	383
6	3854	383
7	5675	383
8	5876	383
9	6065	383
10	6304	383
11	6761	383
12	7094	383

Stop Event

1×	node limit

Counts

75 → 61

Calls

Call 1

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

eval113.0ms (1.1%)

Compiler: Compiled 5608 to 3518 computations (37.3% saved)

prune60.0ms (0.6%)

Pruning

22 alts after pruning (16 fresh and 6 done)

	Pruned	Kept	Total
New	319	6	325
Fresh	1	10	11
Picked	1	0	1
Done	0	6	6
Total	321	22	343

Error

Counts

343 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	23.2b	-1
✓	1.3b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 12 (.f64 b b))) 1)
✓	12.2b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
	13.3b	(-.f64 (pow.f64 a 4) 1)
▶	12.0b	(-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 b (.f64 a (+.f64 4 (*.f64 2 a)))))) 1)
	12.5b	(-.f64 (pow.f64 b 4) 1)
	22.0b	(-.f64 (.f64 b (.f64 12 b)) 1)
▶	11.3b	(-.f64 (+.f64 (pow.f64 b 4) (.f64 12 (.f64 b b))) 1)
✓	12.7b	(-.f64 (*.f64 (pow.f64 a 3) (+.f64 a -4)) 1)
✓	12.7b	(-.f64 (.f64 (.f64 (*.f64 a a) a) (+.f64 a -4)) 1)
✓	11.3b	(-.f64 (.f64 b (.f64 b (fma.f64 b b 12))) 1)
✓	22.4b	(-.f64 (.f64 4 (.f64 a a)) 1)
	12.2b	(-.f64 (+.f64 (.f64 (+.f64 a -4) (pow.f64 a 3)) (.f64 (*.f64 a a) 4)) 1)
▶	22.0b	(-.f64 (.f64 12 (.f64 b b)) 1)
▶	22.6b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a -4))) 1)
	11.3b	(-.f64 (+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (*.f64 b b) 12)) 1)
	12.0b	(-.f64 (.f64 (.f64 a a) (+.f64 (fma.f64 b (.f64 b 2) 4) (fma.f64 a a (.f64 a -4)))) 1)
▶	12.2b	(-.f64 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4))) 1)
	13.2b	(-.f64 (.f64 (.f64 a a) (fma.f64 2 (.f64 b b) (.f64 a a))) 1)
	13.3b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)
	22.9b	(-.f64 (.f64 2 (.f64 b (.f64 b (.f64 a a)))) 1)
	13.0b	(-.f64 (+.f64 (pow.f64 a 4) (.f64 a (.f64 a (fma.f64 b (+.f64 b b) 4)))) 1)

Compiler

Compiled 510 to 357 computations (30% saved)

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (pow.f64 b 4) (.f64 12 (.f64 b b)))
	0.2b	(.f64 12 (.f64 b b))

Compiler

Compiled 37 to 22 computations (40.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	b	@	0	(+.f64 (pow.f64 b 4) (.f64 12 (.f64 b b)))
0.0ms	b	@	inf	(+.f64 (pow.f64 b 4) (.f64 12 (.f64 b b)))
0.0ms	b	@	-inf	(+.f64 (pow.f64 b 4) (.f64 12 (.f64 b b)))

rewrite62.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

826×	`pow1_binary64`
778×	`add-log-exp_binary64`
778×	`log1p-expm1-u_binary64`
778×	`expm1-log1p-u_binary64`
761×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	177	11
2	2218	11

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

Inputs
(+.f64 (pow.f64 b 4) (.f64 12 (.f64 b b)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 12 (*.f64 b b) (pow.f64 b 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 b 8) (+.f64 (pow.f64 b 4) (*.f64 -12 (*.f64 b b)))) (/.f64 (*.f64 (pow.f64 b 4) 144) (+.f64 (pow.f64 b 4) (*.f64 -12 (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b b) (+.f64 (*.f64 b b) 12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b b) (+.f64 12 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 12 (*.f64 b b) (pow.f64 b 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 12 (*.f64 b b) (pow.f64 b 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 12 (*.f64 b b) (pow.f64 b 4))) (pow.f64 (cbrt.f64 (fma.f64 12 (*.f64 b b) (pow.f64 b 4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 12 (*.f64 b b) (pow.f64 b 4))) 2) (cbrt.f64 (fma.f64 12 (*.f64 b b) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (*.f64 b b) (*.f64 b (sqrt.f64 12))) (hypot.f64 (*.f64 b b) (*.f64 b (sqrt.f64 12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 b 12) (*.f64 1728 (pow.f64 b 6))) (/.f64 1 (+.f64 (pow.f64 b 8) (-.f64 (*.f64 (pow.f64 b 4) 144) (*.f64 (pow.f64 b 6) 12)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 b 8) (*.f64 (pow.f64 b 4) 144)) (/.f64 1 (+.f64 (pow.f64 b 4) (*.f64 -12 (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 b 8) (-.f64 (*.f64 (pow.f64 b 4) 144) (*.f64 (pow.f64 b 6) 12))) (+.f64 (pow.f64 b 12) (*.f64 1728 (pow.f64 b 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 b 4) (*.f64 -12 (*.f64 b b))) (-.f64 (pow.f64 b 8) (*.f64 (pow.f64 b 4) 144))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b 12) (*.f64 1728 (pow.f64 b 6))) (+.f64 (pow.f64 b 8) (-.f64 (*.f64 (pow.f64 b 4) 144) (*.f64 (pow.f64 b 6) 12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b 12) (*.f64 1728 (pow.f64 b 6))) (+.f64 (*.f64 (pow.f64 b 4) 144) (-.f64 (pow.f64 b 8) (*.f64 (pow.f64 b 6) 12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 b 8) (*.f64 (pow.f64 b 4) 144)) (+.f64 (pow.f64 b 4) (*.f64 -12 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 b 12) (*.f64 1728 (pow.f64 b 6)))) (neg.f64 (+.f64 (pow.f64 b 8) (-.f64 (*.f64 (pow.f64 b 4) 144) (*.f64 (pow.f64 b 6) 12)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 b 8) (*.f64 (pow.f64 b 4) 144))) (neg.f64 (+.f64 (pow.f64 b 4) (*.f64 -12 (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 b 4) 144) (pow.f64 b 8)) (-.f64 (*.f64 b (*.f64 b 12)) (pow.f64 b 4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 12 (*.f64 b b) (pow.f64 b 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 12 (*.f64 b b) (pow.f64 b 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 12 (*.f64 b b) (pow.f64 b 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (*.f64 b b) (*.f64 b (sqrt.f64 12))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 12 (*.f64 b b) (pow.f64 b 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 12 (*.f64 b b) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 12 (*.f64 b b) (pow.f64 b 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 12 (*.f64 b b) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 12 (*.f64 b b) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 12 (*.f64 b b) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 12 (*.f64 b b) (pow.f64 b 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b b) 12 (pow.f64 b 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b b) (*.f64 b b) (*.f64 b (*.f64 b 12)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 b 4) (*.f64 b (*.f64 b 12)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 b (*.f64 b 12)) (pow.f64 b 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 b 4) 144)) (cbrt.f64 (*.f64 b (*.f64 b 12))) (pow.f64 b 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 b 8)) (cbrt.f64 (pow.f64 b 4)) (*.f64 b (*.f64 b 12)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (sqrt.f64 12)) (*.f64 b (sqrt.f64 12)) (pow.f64 b 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b 12) b (pow.f64 b 4))))))

simplify185.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1319×	`sqr-pow_binary64`
659×	`pow-sqr_binary64`
493×	`cube-prod_binary64`
401×	`fabs-mul_binary64`
392×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	114
1	19	114
2	41	114
3	100	114
4	270	114
5	925	114
6	1856	114
7	2150	114
8	2335	114
9	2536	114
10	2810	114
11	3172	114
12	3623	114
13	4161	114
14	4793	114
15	5542	114
16	5855	114
17	6077	114
18	6273	114
19	6327	114
20	6349	114
21	7183	114

Stop Event

1×	node limit

Counts

50 → 43

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))

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))

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 12 (.f64 b b)) 1)
	0.2b	(.f64 12 (.f64 b b))

Compiler

Compiled 20 to 11 computations (45% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite55.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

655×	`pow1_binary64`
614×	`add-log-exp_binary64`
612×	`log1p-expm1-u_binary64`
612×	`expm1-log1p-u_binary64`
602×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	149	8
2	1768	8

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 12 (*.f64 b b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (*.f64 12 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 12 (*.f64 b b) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 12 (*.f64 b b) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 12 (*.f64 b b) -1)) (pow.f64 (cbrt.f64 (fma.f64 12 (*.f64 b b) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 12 (*.f64 b b) -1)) 2) (cbrt.f64 (fma.f64 12 (*.f64 b b) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 12 (*.f64 b b) -1)) (sqrt.f64 (fma.f64 12 (*.f64 b b) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1728 (pow.f64 (*.f64 b b) 3)) -1) (/.f64 1 (+.f64 (*.f64 144 (pow.f64 b 4)) (fma.f64 12 (*.f64 b b) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 144 (pow.f64 b 4)) -1) (/.f64 1 (fma.f64 12 (*.f64 b b) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 b (sqrt.f64 12)) 1) (-.f64 (*.f64 b (sqrt.f64 12)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 144 (pow.f64 b 4)) (fma.f64 12 (*.f64 b b) 1)) (+.f64 (*.f64 1728 (pow.f64 (*.f64 b b) 3)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 12 (*.f64 b b) 1) (+.f64 (*.f64 144 (pow.f64 b 4)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1728 (pow.f64 (*.f64 b b) 3)) -1) (+.f64 (*.f64 144 (pow.f64 b 4)) (fma.f64 12 (*.f64 b b) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1728 (pow.f64 (*.f64 b b) 3)) -1) (+.f64 (*.f64 144 (pow.f64 b 4)) (-.f64 1 (*.f64 (*.f64 12 (*.f64 b b)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 144 (pow.f64 b 4)) -1) (fma.f64 12 (*.f64 b b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 144 (pow.f64 b 4)) -1) (-.f64 (*.f64 12 (*.f64 b b)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 1728 (pow.f64 (*.f64 b b) 3)) -1)) (neg.f64 (+.f64 (*.f64 144 (pow.f64 b 4)) (fma.f64 12 (*.f64 b b) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 144 (pow.f64 b 4)) -1)) (neg.f64 (fma.f64 12 (*.f64 b b) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 12 (*.f64 b b) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 12 (*.f64 b b) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 12 (*.f64 b b) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 12 (*.f64 b b) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 12 (*.f64 b b) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 12 (*.f64 b b) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 12 (*.f64 b b) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (*.f64 12 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 12 (*.f64 b b) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 12 (*.f64 b b) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 12 (*.f64 b b) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b b) 12 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 12 (*.f64 b b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 144 (pow.f64 b 4))) (cbrt.f64 (*.f64 12 (*.f64 b b))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (sqrt.f64 12)) (*.f64 b (sqrt.f64 12)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 12 b) b -1)))))

simplify159.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1082×	`sqr-pow_binary64`
560×	`cube-prod_binary64`
553×	`fabs-mul_binary64`
523×	`pow-sqr_binary64`
452×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	87
1	19	87
2	30	87
3	54	87
4	121	87
5	353	87
6	1284	87
7	2182	87
8	2345	87
9	2529	87
10	2737	87
11	3036	87
12	3429	87
13	3912	87
14	4478	87
15	5166	87
16	6003	87
17	6393	87
18	6677	87
19	6955	87
20	7031	87
21	7065	87

Stop Event

1×	node limit

Counts

46 → 39

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 37 to 24 computations (35.1% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite61.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

885×	`pow1_binary64`
830×	`add-log-exp_binary64`
830×	`log1p-expm1-u_binary64`
830×	`expm1-log1p-u_binary64`
813×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	179	11
2	2321	11

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

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

simplify172.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

944×	`sqr-pow_binary64`
536×	`unswap-sqr_binary64`
490×	`*-commutative_binary64`
490×	`fma-def_binary64`
489×	`cube-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	147
1	27	147
2	59	138
3	152	120
4	413	120
5	1608	120
6	3382	120
7	3738	120
8	3988	120
9	4275	120
10	4654	120
11	5212	120
12	5836	120
13	6546	120
14	7013	120
15	7332	120
16	7604	120
17	7774	120
18	7868	120

Stop Event

1×	node limit

Counts

36 → 29

Calls

Call 1

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

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

localize45.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 120 to 77 computations (35.8% saved)

series10.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

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

rewrite83.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

561×	`log-prod_binary64`
408×	`pow-prod-down_binary64`
275×	`prod-diff_binary64`
274×	`pow2_binary64`
240×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	39
1	218	33
2	2872	33

Stop Event

1×	node limit

Counts

3 → 116

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 a 2 4) (*.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a 4) b) (*.f64 (*.f64 a (+.f64 a a)) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 4 (*.f64 b a)) (*.f64 (+.f64 a a) (*.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 a a) (*.f64 b a)) (*.f64 4 (*.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b (*.f64 a 4)) (*.f64 b (*.f64 a (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 b a) 4) (*.f64 (*.f64 b a) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 b a) (+.f64 a a)) (*.f64 (*.f64 b a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 b) (*.f64 a (fma.f64 a 2 4)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 b) (*.f64 a (fma.f64 a 2 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 b) (*.f64 a (fma.f64 a 2 4))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 b) (*.f64 a (fma.f64 a 2 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 a 2 4) (*.f64 b a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 b a) (fma.f64 8 (pow.f64 a 3) 64)) (fma.f64 (+.f64 a a) (fma.f64 a 2 -4) 16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 b a) (-.f64 16 (*.f64 4 (*.f64 a a)))) (+.f64 4 (*.f64 -2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 a 2 4) (*.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 a 2 4) (*.f64 b a)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 a 2 4) (*.f64 b a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 a 2 4) (*.f64 b a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 a 2 4) (*.f64 b a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 a 2 4) (*.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 b) (*.f64 a (fma.f64 a 2 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 a 2 4) (*.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 a 2 4) (*.f64 b a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 a 2 4) (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 a 2 4) (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 a 2 4) (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 a 2 4) (*.f64 b a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (fma.f64 a 2 4) (*.f64 b a)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (fma.f64 a 2 4) (*.f64 b a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (fma.f64 a 2 4) (*.f64 b a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (fma.f64 a 2 4) (*.f64 b a))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b (*.f64 a 4) (*.f64 b (*.f64 a (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (*.f64 b a) (*.f64 (+.f64 a a) (*.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 a a) (*.f64 b a) (*.f64 4 (*.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a 4) b (*.f64 (*.f64 a (+.f64 a a)) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b a) 4 (*.f64 (*.f64 b a) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b a) (+.f64 a a) (*.f64 (*.f64 b a) 4))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a 4) (*.f64 a (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (+.f64 a a)) (*.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 a (fma.f64 a 2 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a 4) 1) (*.f64 (*.f64 a (+.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 2 4))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (fma.f64 a 2 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (fma.f64 a 2 4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (fma.f64 a 2 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a (fma.f64 a 2 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 a 4) 3) (pow.f64 (*.f64 a (+.f64 a a)) 3)) (+.f64 (pow.f64 (*.f64 a 4) 2) (-.f64 (pow.f64 (*.f64 a (+.f64 a a)) 2) (*.f64 (*.f64 a 4) (*.f64 a (+.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 a 4) 2) (pow.f64 (*.f64 a (+.f64 a a)) 2)) (-.f64 (*.f64 a 4) (*.f64 a (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 8 (pow.f64 a 3) 64) a) (fma.f64 (+.f64 a a) (fma.f64 a 2 -4) 16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 16 (*.f64 4 (*.f64 a a))) a) (+.f64 4 (*.f64 -2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (fma.f64 8 (pow.f64 a 3) 64)) (fma.f64 (+.f64 a a) (fma.f64 a 2 -4) 16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (-.f64 16 (*.f64 4 (*.f64 a a)))) (+.f64 4 (*.f64 -2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (fma.f64 a 2 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (fma.f64 a 2 4)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (fma.f64 a 2 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (fma.f64 a 2 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a (fma.f64 a 2 4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a (fma.f64 a 2 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (fma.f64 a 2 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a (fma.f64 a 2 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (fma.f64 a 2 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (fma.f64 a 2 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (fma.f64 a 2 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (fma.f64 a 2 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (fma.f64 a 2 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 a (fma.f64 a 2 4)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 a (fma.f64 a 2 4)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 a (fma.f64 a 2 4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 a (fma.f64 a 2 4))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a 4 (*.f64 a (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (+.f64 a a) (*.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 a (*.f64 a (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (*.f64 a a) (*.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 a a) a (*.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 a 4) (*.f64 a (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 a (+.f64 a a)) (*.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a a) 2 (*.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 4 (*.f64 a a))) (*.f64 (cbrt.f64 (+.f64 a a)) a) (*.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (+.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) 4) (*.f64 a (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 a a)) (*.f64 (sqrt.f64 (+.f64 a a)) a) (*.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (+.f64 a a)) (*.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) 4) (*.f64 a (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a 4) 1 (*.f64 (*.f64 a (+.f64 a a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 a (+.f64 a a))) 2) (cbrt.f64 (*.f64 a (+.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 a (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 a (+.f64 a a))) (sqrt.f64 (*.f64 a (+.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 a (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (cbrt.f64 (*.f64 4 (*.f64 a a)))) (cbrt.f64 (+.f64 a a)) (*.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (sqrt.f64 (+.f64 a a))) (sqrt.f64 (+.f64 a a)) (*.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 a a) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (*.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 a a) (sqrt.f64 a)) (sqrt.f64 a) (*.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (*.f64 a (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (sqrt.f64 a)) (sqrt.f64 a) (*.f64 a (+.f64 a a)))))))

simplify170.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1734×	`distribute-rgt-in_binary64`
810×	`fma-def_binary64`
559×	`associate-l_binary64`
434×	`distribute-lft-in_binary64`
355×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	789
1	74	705
2	203	678
3	490	678
4	1989	678
5	3303	678
6	3989	678
7	5405	678
8	5546	678
9	5681	678
10	5837	678
11	6007	678
12	6205	678

Stop Event

1×	node limit

Counts

176 → 136

Calls

Call 1

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

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

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 45 to 30 computations (33.3% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite68.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

864×	`pow1_binary64`
807×	`add-log-exp_binary64`
807×	`log1p-expm1-u_binary64`
807×	`expm1-log1p-u_binary64`
793×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	33
1	174	33
2	2143	33

Stop Event

1×	node limit

Counts

3 → 51

Calls

Call 1

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

Outputs

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

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

simplify131.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

888×	`fma-def_binary64`
803×	`unswap-sqr_binary64`
632×	`distribute-rgt-in_binary64`
608×	`distribute-lft-in_binary64`
560×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	24	408
1	65	374
2	143	330
3	310	312
4	906	312
5	1913	312
6	3712	312
7	3845	312
8	4061	312
9	4477	312
10	5264	312
11	6672	312
12	7126	312
13	7678	312

Stop Event

1×	node limit

Counts

87 → 78

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

eval185.0ms (1.8%)

Compiler: Compiled 9120 to 5969 computations (34.6% saved)

prune73.0ms (0.7%)

Pruning

22 alts after pruning (14 fresh and 8 done)

	Pruned	Kept	Total
New	427	8	435
Fresh	5	6	11
Picked	1	0	1
Done	2	8	10
Total	435	22	457

Error

Counts

457 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	12.7b	(-.f64 (.f64 a (.f64 a (*.f64 a (+.f64 a -4)))) 1)
	61.7b	(.f64 12 (.f64 b b))
	23.2b	-1
✓	1.3b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 12 (.f64 b b))) 1)
✓	12.2b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
	12.5b	(-.f64 (pow.f64 b 4) 1)
	12.2b	(-.f64 (.f64 a (.f64 a (+.f64 (*.f64 a (+.f64 a -4)) 4))) 1)
	13.2b	(-.f64 (.f64 (.f64 a a) (fma.f64 2 (.f64 b b) (.f64 a a))) 1)
	13.1b	(-.f64 (+.f64 (pow.f64 a 4) (.f64 b (.f64 b (.f64 a (+.f64 4 (.f64 2 a)))))) 1)
✓	11.3b	(-.f64 (+.f64 (pow.f64 b 4) (.f64 12 (.f64 b b))) 1)
	12.0b	(-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 b (.f64 a (*.f64 a 2))))) 1)
✓	12.7b	(-.f64 (*.f64 (pow.f64 a 3) (+.f64 a -4)) 1)
✓	12.7b	(-.f64 (.f64 (.f64 (*.f64 a a) a) (+.f64 a -4)) 1)
	13.4b	(-.f64 (.f64 a (.f64 a (*.f64 a a))) 1)
✓	11.3b	(-.f64 (.f64 b (.f64 b (fma.f64 b b 12))) 1)
✓	22.4b	(-.f64 (.f64 4 (.f64 a a)) 1)
	11.3b	(-.f64 (.f64 (.f64 b b) (+.f64 (*.f64 b b) 12)) 1)
✓	22.6b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a -4))) 1)
	12.0b	(-.f64 (.f64 (.f64 a a) (+.f64 (fma.f64 b (.f64 b 2) 4) (fma.f64 a a (.f64 a -4)))) 1)
	13.3b	(-.f64 (pow.f64 a 4) 1)
	22.0b	(-.f64 (.f64 b (.f64 12 b)) 1)
	13.3b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)

Compiler

Compiled 284 to 200 computations (29.6% saved)

regimes165.0ms (1.6%)

Counts

42 → 1

Calls

Call 1

Inputs
-1
(.f64 12 (.f64 b b))
(-.f64 (.f64 b (.f64 12 b)) 1)
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 4 (.f64 a a)) 1)
(-.f64 (.f64 a (.f64 a (*.f64 a a))) 1)
(-.f64 (.f64 a (.f64 a (*.f64 a (+.f64 a -4)))) 1)
(-.f64 (.f64 (.f64 b b) (+.f64 (*.f64 b b) 12)) 1)
(-.f64 (.f64 (.f64 (*.f64 a a) a) (+.f64 a -4)) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a -4))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)
(-.f64 (.f64 2 (.f64 b (.f64 b (.f64 a a)))) 1)
(-.f64 (.f64 a (.f64 a (+.f64 (*.f64 a (+.f64 a -4)) 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 (*.f64 b b) 12)) 1)
(-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 b (.f64 a (*.f64 a 2))))) 1)
(-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 b (.f64 a (+.f64 4 (*.f64 2 a)))))) 1)
(-.f64 (pow.f64 b 4) 1)
(-.f64 (pow.f64 a 4) 1)
(-.f64 (pow.f64 b 4) 1)
(-.f64 (*.f64 (pow.f64 a 3) (+.f64 a -4)) 1)
(-.f64 (.f64 b (.f64 b (fma.f64 b b 12))) 1)
(-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1)
(-.f64 (+.f64 (pow.f64 b 4) (.f64 12 (.f64 b b))) 1)
(-.f64 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4))) 1)
(-.f64 (.f64 (.f64 a a) (fma.f64 2 (.f64 b b) (.f64 a a))) 1)
(-.f64 (+.f64 (.f64 (+.f64 a -4) (pow.f64 a 3)) (.f64 (*.f64 a a) 4)) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 (fma.f64 b (.f64 b 2) 4) (.f64 a a))) 1)
(-.f64 (+.f64 (pow.f64 a 4) (.f64 b (.f64 b (.f64 a (+.f64 4 (.f64 2 a)))))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 12 (.f64 b b))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 (fma.f64 b (.f64 b 2) 4) (.f64 a (+.f64 a -4)))) 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 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)
(-.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 a 4) (.f64 a (.f64 a (fma.f64 b (+.f64 b b) 4)))) 1)
(-.f64 (.f64 a (.f64 a (fma.f64 2 (*.f64 b b) (fma.f64 a (+.f64 a -4) 4)))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 (fma.f64 b (.f64 b 2) 4) (fma.f64 a a (.f64 a -4)))) 1)
(-.f64 (+.f64 (fma.f64 2 (.f64 (.f64 a b) (.f64 a 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 (pow.f64 a 4) (pow.f64 b 4)) (-.f64 (pow.f64 a 4) (pow.f64 b 4))) (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (.f64 (+.f64 a b) (-.f64 a b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (-.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)) (pow.f64 a 3)) -1))
(+.f64 (sqrt.f64 (pow.f64 (hypot.f64 b a) 8)) (fma.f64 4 (-.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)) (pow.f64 a 3)) -1))

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

Calls

8 calls:

58.0ms	a
21.0ms	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)))))
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)

Results

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

Compiler

Compiled 775 to 453 computations (41.5% saved)

regimes122.0ms (1.2%)

Counts

40 → 1

Calls

Call 1

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

Calls

5 calls:

20.0ms	a
20.0ms	b
14.0ms	(+.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)
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 663 to 385 computations (41.9% saved)

regimes94.0ms (0.9%)

Counts

34 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

47.0ms	b
18.0ms	a
17.0ms	(*.f64 b b)

Results

Error	Segments	Branch
1.2b	1	`a`
0.1b	3	`b`
0.1b	2	`(*.f64 b b)`

Compiler

Compiled 439 to 258 computations (41.2% saved)

bsearch57.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
29.0ms	8.667373765363573e-32	1.0985979154898597e-26
28.0ms	-3165.3831954989782	-0.003341453796341022

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes89.0ms (0.9%)

Counts

32 → 3

Calls

Call 1

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

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

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

Calls

3 calls:

45.0ms	b
16.0ms	(*.f64 b b)
15.0ms	a

Results

Error	Segments	Branch
1.3b	1	`a`
0.1b	3	`b`
0.1b	2	`(*.f64 b b)`

Compiler

Compiled 391 to 233 computations (40.4% saved)

bsearch76.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
48.0ms	8.667373765363573e-32	1.0985979154898597e-26
28.0ms	-3165.3831954989782	-0.003341453796341022

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes170.0ms (1.6%)

Counts

29 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

67.0ms	a
40.0ms	(*.f64 b b)
39.0ms	b
14.0ms	(*.f64 b b)

Results

Error	Segments	Branch
0.8b	3	`a`
1.4b	3	`b`
1.7b	2	`(*.f64 b b)`
1.7b	2	`(*.f64 b b)`

Compiler

Compiled 338 to 203 computations (39.9% saved)

bsearch64.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
36.0ms	0.0005597508824761506	3684685186.6704965
28.0ms	-6.221939924841085e-6	-6.8193454413563884e-9

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes112.0ms (1.1%)

Counts

23 → 3

Calls

Call 1

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

Outputs

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

Calls

4 calls:

49.0ms	b
32.0ms	a
12.0ms	(*.f64 b b)
11.0ms	(*.f64 b b)

Results

Error	Segments	Branch
0.8b	3	`a`
1.5b	3	`b`
1.8b	2	`(*.f64 b b)`
1.8b	2	`(*.f64 b b)`

Compiler

Compiled 253 to 153 computations (39.5% saved)

bsearch58.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	0.0005597508824761506	3684685186.6704965
29.0ms	-6.221939924841085e-6	-6.8193454413563884e-9

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes151.0ms (1.4%)

Counts

21 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

74.0ms	b
50.0ms	a
21.0ms	(*.f64 b b)

Results

Error	Segments	Branch
0.8b	3	`a`
1.5b	3	`b`
1.8b	2	`(*.f64 b b)`

Compiler

Compiled 228 to 139 computations (39% saved)

bsearch55.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
27.0ms	0.0005597508824761506	3684685186.6704965
27.0ms	-6.221939924841085e-6	-6.8193454413563884e-9

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes104.0ms (1%)

Counts

15 → 3

Calls

Call 1

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

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

Calls

3 calls:

68.0ms	a
22.0ms	b
9.0ms	(*.f64 b b)

Results

Error	Segments	Branch
1.0b	3	`a`
1.5b	3	`b`
1.8b	2	`(*.f64 b b)`

Compiler

Compiled 156 to 90 computations (42.3% saved)

bsearch60.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
32.0ms	0.0005597508824761506	3684685186.6704965
27.0ms	-6.221939924841085e-6	-6.8193454413563884e-9

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes51.0ms (0.5%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

3 calls:

21.0ms	b
19.0ms	a
7.0ms	(*.f64 b b)

Results

Error	Segments	Branch
1.5b	3	`a`
2.0b	3	`b`
2.3b	2	`(*.f64 b b)`

Compiler

Compiled 115 to 67 computations (41.7% saved)

bsearch55.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
27.0ms	0.0005597508824761506	3684685186.6704965
28.0ms	-6.221939924841085e-6	-6.8193454413563884e-9

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes25.0ms (0.2%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

3 calls:

14.0ms	a
5.0ms	b
4.0ms	(*.f64 b b)

Results

Error	Segments	Branch
11.6b	3	`a`
12.7b	1	`b`
12.7b	1	`(*.f64 b b)`

Compiler

Compiled 60 to 38 computations (36.7% saved)

bsearch55.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
27.0ms	0.0005597508824761506	3684685186.6704965
28.0ms	-6.221939924841085e-6	-6.8193454413563884e-9

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes23.0ms (0.2%)

Counts

6 → 3

Calls

Call 1

Inputs
-1
(.f64 12 (.f64 b b))
(-.f64 (.f64 b (.f64 12 b)) 1)
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 4 (.f64 a a)) 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
5.0ms	b
3.0ms	(*.f64 b b)

Results

Error	Segments	Branch
12.3b	3	`a`
13.4b	1	`b`
13.4b	1	`(*.f64 b b)`

Compiler

Compiled 49 to 31 computations (36.7% saved)

bsearch60.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
33.0ms	0.0005597508824761506	3684685186.6704965
27.0ms	-0.002872217909701624	-6.221939924841085e-6

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes19.0ms (0.2%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	(*.f64 b b)
4.0ms	a
4.0ms	b
3.0ms	(*.f64 b b)

Results

Error	Segments	Branch
22.0b	1	`a`
22.0b	1	`b`
22.0b	1	`(*.f64 b b)`
22.0b	1	`(*.f64 b b)`

Compiler

Compiled 45 to 30 computations (33.3% saved)

regimes10.0ms (0.1%)

Accuracy

Total -39.4b remaining (-170.2%)

Threshold costs -39.4b (-170.2%)

Counts

2 → 1

Calls

Call 1

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

Outputs
-1

Calls

3 calls:

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

Results

Error	Segments	Branch
23.2b	1	`a`
23.2b	1	`b`
23.2b	1	`(*.f64 b b)`

Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify28.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	775
1	152	775
2	169	775
3	173	775
4	175	775

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (-.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)) (pow.f64 a 3)) -1))
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(if (<=.f64 b -1740187814908939/549755813888) (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 12 (.f64 b b))) 1) (if (<=.f64 b 7917113093398609/91343852333181432387730302044767688728495783936) (-.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 12 (*.f64 b b))) 1)))
(if (<=.f64 b -1740187814908939/549755813888) (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 12 (.f64 b b))) 1) (if (<=.f64 b 7917113093398609/91343852333181432387730302044767688728495783936) (-.f64 (.f64 a (.f64 a (+.f64 (.f64 a (+.f64 a -4)) 4))) 1) (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 12 (*.f64 b b))) 1)))
(if (<=.f64 a -7345570139874505/1180591620717411303424) (-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 b (.f64 a (.f64 a 2))))) 1) (if (<=.f64 a 5162790637035311/9223372036854775808) (-.f64 (+.f64 (pow.f64 b 4) (.f64 12 (.f64 b b))) 1) (-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 b (.f64 a (.f64 a 2))))) 1)))
(if (<=.f64 a -7345570139874505/1180591620717411303424) (-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 b (.f64 a (.f64 a 2))))) 1) (if (<=.f64 a 5162790637035311/9223372036854775808) (-.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 b (.f64 b (.f64 a (.f64 a 2))))) 1)))
(if (<=.f64 a -7345570139874505/1180591620717411303424) (-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 b (.f64 a (.f64 a 2))))) 1) (if (<=.f64 a 5162790637035311/9223372036854775808) (-.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) 12)) 1) (-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 b (.f64 a (*.f64 a 2))))) 1)))
(if (<=.f64 a -7345570139874505/1180591620717411303424) (-.f64 (.f64 a (.f64 a (+.f64 (.f64 a (+.f64 a -4)) 4))) 1) (if (<=.f64 a 5162790637035311/9223372036854775808) (-.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) 12)) 1) (-.f64 (.f64 a (.f64 a (*.f64 a (+.f64 a -4)))) 1)))
(if (<=.f64 a -7345570139874505/1180591620717411303424) (-.f64 (.f64 a (.f64 a (.f64 a (+.f64 a -4)))) 1) (if (<=.f64 a 5162790637035311/9223372036854775808) (-.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) 12)) 1) (-.f64 (.f64 a (.f64 a (*.f64 a (+.f64 a -4)))) 1)))
(if (<=.f64 a -7345570139874505/1180591620717411303424) (-.f64 (.f64 a (.f64 a (.f64 a (+.f64 a -4)))) 1) (if (<=.f64 a 5162790637035311/9223372036854775808) (-.f64 (.f64 b (.f64 12 b)) 1) (-.f64 (.f64 a (.f64 a (.f64 a (+.f64 a -4)))) 1)))
(if (<=.f64 a -6622883588023859/2305843009213693952) (-.f64 (.f64 a (.f64 a (.f64 a a))) 1) (if (<=.f64 a 5162790637035311/9223372036854775808) (-.f64 (.f64 b (.f64 12 b)) 1) (-.f64 (.f64 a (.f64 a (.f64 a a))) 1)))
(-.f64 (.f64 b (.f64 12 b)) 1)
-1

Outputs
(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (-.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)) (pow.f64 a 3)) -1))
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(+.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (+.f64 a 3) (*.f64 b b))))) -1)
(+.f64 -1 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (+.f64 a 3) (*.f64 b b))))))
(if (<=.f64 b -1740187814908939/549755813888) (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 12 (.f64 b b))) 1) (if (<=.f64 b 7917113093398609/91343852333181432387730302044767688728495783936) (-.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 12 (*.f64 b b))) 1)))
(if (<=.f64 b -1740187814908939/549755813888) (+.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 12)) -1) (if (<=.f64 b 7917113093398609/91343852333181432387730302044767688728495783936) (+.f64 (+.f64 (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (+.f64 a 3) (.f64 b b)))) (pow.f64 a 4)) -1) (+.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (*.f64 b b) 12)) -1)))
(if (<=.f64 b -1740187814908939/549755813888) (+.f64 -1 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 12))) (if (<=.f64 b 7917113093398609/91343852333181432387730302044767688728495783936) (+.f64 -1 (+.f64 (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (+.f64 a 3) (.f64 b b)))) (pow.f64 a 4))) (+.f64 -1 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (*.f64 b b) 12)))))
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(if (<=.f64 a -6622883588023859/2305843009213693952) (+.f64 -1 (.f64 a (.f64 a (.f64 a a)))) (if (<=.f64 a 5162790637035311/9223372036854775808) (+.f64 -1 (.f64 b (.f64 b 12))) (+.f64 -1 (.f64 a (.f64 a (.f64 a a))))))
(-.f64 (.f64 b (.f64 12 b)) 1)
(+.f64 (.f64 b (.f64 b 12)) -1)
(+.f64 -1 (.f64 b (.f64 b 12)))
-1

Compiler

Compiled 554 to 355 computations (35.9% saved)

soundness104.0ms (1%)

Algorithm

1×	egg-herbie

Rules

602×	`fma-def_binary64`
567×	`cancel-sign-sub-inv_binary64`
399×	`associate-+l-_binary64`
388×	`associate--r-_binary64`
335×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	19	39
1	57	37
2	198	37
3	700	37
4	2287	33
5	4261	33

Stop Event

1×	node limit

Compiler

Compiled 975 to 567 computations (41.8% saved)

end229.0ms (2.2%)

Compiler: Compiled 530 to 316 computations (40.4% saved)