Details

analyze272.0ms (3.3%)

Algorithm

1×

Search

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

Compiler

Compiled 32 to 20 computations (37.5% saved)

sample2.0s (23.7%)

Results

1.8s	8256×	body	256	valid
148.0ms	949×	body	256	invalid

preprocess94.0ms (1.1%)

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)

simplify46.0ms (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))

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (-.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)

localize38.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 93 to 50 computations (46.2% saved)

series20.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

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

rewrite106.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

773×	`log-prod_binary64`
635×	`fma-def_binary64`
343×	`fma-neg_binary64`
302×	`expm1-udef_binary64`
302×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	58
1	365	58
2	4863	58

Stop Event

1×	node limit

Counts

4 → 158

Calls

Call 1

Inputs
(fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a))
(+.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 b (+.f64 a 3))
(hypot.f64 a b)

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

simplify87.0ms (1%)

Algorithm

1×	egg-herbie

Rules

546×	`distribute-rgt-in_binary64`
423×	`fma-neg_binary64`
409×	`+-commutative_binary64`
356×	`associate-r_binary64`
348×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	163	1670
1	515	1640
2	1710	1625
3	5510	1613

Stop Event

1×	node limit

Counts

254 → 235

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

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

localize43.0ms (0.5%)

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)
✓	0.4b	(.f64 (.f64 b b) (+.f64 3 a))

Compiler

Compiled 138 to 63 computations (54.3% saved)

series11.0ms (0.1%)

Counts

4 → 84

Calls

21 calls:

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

rewrite99.0ms (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)))))))
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a) 2) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4) (.f64 16 (pow.f64 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) 2)))) (neg.f64 (+.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 (fma.f64 16 (pow.f64 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) 2) (neg.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4))) (-.f64 (.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 pow.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 pow.f64 (pow.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)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (pow.f64 (hypot.f64 b a) 2) (.f64 2 (hypot.f64 (.f64 a (sqrt.f64 (-.f64 1 a))) (.f64 b (sqrt.f64 (+.f64 3 a)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.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)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.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))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (hypot.f64 b a) 2) (pow.f64 (hypot.f64 b a) 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 1 (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 fma.f64 1 (.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 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 fma.f64 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) 4 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))))) 2) (cbrt.f64 (.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 fma.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 b a) 2)) 2) (.f64 4 (fma.f64 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))))))

simplify79.0ms (0.9%)

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))
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(+.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)))))

eval226.0ms (2.7%)

Compiler: Compiled 12615 to 7575 computations (40% saved)

prune61.0ms (0.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	383	7	390
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	385	7	392

Error

Counts

392 → 7

Alt Table

Click to see full alt table

Status	Error	Program
	10.3b	(-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
	54.2b	(*.f64 (pow.f64 a 3) (+.f64 -4 a))
▶	54.7b	(pow.f64 a 4)
▶	52.1b	(pow.f64 b 4)
▶	10.0b	(-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1)
▶	11.3b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
▶	11.2b	(-.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)

Compiler

Compiled 196 to 142 computations (27.6% saved)

localize13.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 30 to 15 computations (50% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite48.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

543×	`pow1_binary64`
523×	`add-sqr-sqrt_binary64`
504×	`add-log-exp_binary64`
504×	`log1p-expm1-u_binary64`
504×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	122	11
2	1416	11

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

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

Outputs

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

simplify181.0ms (2.2%)

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

25 → 18

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))

localize18.0ms (0.2%)

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)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite68.0ms (0.8%)

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))))))

simplify98.0ms (1.2%)

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))

localize42.0ms (0.5%)

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 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4))))
✓	0.1b	(.f64 b (.f64 b (.f64 a (+.f64 4 (.f64 2 a)))))

Compiler

Compiled 120 to 77 computations (35.8% saved)

series11.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	b	@	inf	(.f64 b (.f64 b (.f64 a (+.f64 4 (.f64 2 a)))))
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)))))

rewrite77.0ms (0.9%)

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)))))))

simplify159.0ms (1.9%)

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))

localize3.0ms (0%)

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

localize3.0ms (0%)

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

eval183.0ms (2.2%)

Compiler: Compiled 8374 to 5244 computations (37.4% saved)

prune58.0ms (0.7%)

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	341	8	349
Fresh	1	1	2
Picked	0	1	1
Done	1	3	4
Total	343	13	356

Error

Counts

356 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	20.2b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a -4))) 1)
▶	20.1b	(-.f64 (+.f64 (.f64 4 (.f64 a a)) (.f64 b (.f64 b (.f64 a (+.f64 4 (.f64 2 a)))))) 1)
✓	10.0b	(-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1)
	11.2b	(-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 b (.f64 a (*.f64 a 2))))) 1)
	11.3b	(-.f64 (+.f64 (.f64 (+.f64 a -4) (pow.f64 a 3)) (.f64 (*.f64 a a) 4)) 1)
	20.2b	(-.f64 (.f64 12 (.f64 b b)) 1)
	13.2b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)
▶	11.2b	(-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (/.f64 (.f64 (.f64 b a) (-.f64 16 (.f64 4 (.f64 a a)))) (+.f64 4 (*.f64 -2 a))))) 1)
▶	54.2b	(*.f64 (pow.f64 a 3) (+.f64 -4 a))
✓	54.7b	(pow.f64 a 4)
✓	52.1b	(pow.f64 b 4)
✓	11.3b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
▶	20.2b	(-.f64 (.f64 4 (.f64 a a)) 1)

Compiler

Compiled 339 to 243 computations (28.3% saved)

localize55.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (.f64 (.f64 b a) (-.f64 16 (.f64 4 (.f64 a a)))) (+.f64 4 (*.f64 -2 a)))
✓	0.1b	(.f64 (.f64 b a) (-.f64 16 (.f64 4 (.f64 a a))))
	0.1b	(.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4))))
✓	0.1b	(.f64 b (/.f64 (.f64 (.f64 b a) (-.f64 16 (.f64 4 (.f64 a a)))) (+.f64 4 (.f64 -2 a))))

Compiler

Compiled 172 to 101 computations (41.3% saved)

series15.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	a	@	0	(.f64 b (/.f64 (.f64 (.f64 b a) (-.f64 16 (.f64 4 (.f64 a a)))) (+.f64 4 (.f64 -2 a))))
2.0ms	b	@	0	(.f64 b (/.f64 (.f64 (.f64 b a) (-.f64 16 (.f64 4 (.f64 a a)))) (+.f64 4 (.f64 -2 a))))
1.0ms	a	@	inf	(.f64 b (/.f64 (.f64 (.f64 b a) (-.f64 16 (.f64 4 (.f64 a a)))) (+.f64 4 (.f64 -2 a))))
1.0ms	b	@	inf	(.f64 b (/.f64 (.f64 (.f64 b a) (-.f64 16 (.f64 4 (.f64 a a)))) (+.f64 4 (.f64 -2 a))))
1.0ms	a	@	-inf	(.f64 b (/.f64 (.f64 (.f64 b a) (-.f64 16 (.f64 4 (.f64 a a)))) (+.f64 4 (.f64 -2 a))))

rewrite96.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

877×	`log-prod_binary64`
458×	`prod-diff_binary64`
290×	`fma-def_binary64`
279×	`expm1-udef_binary64`
279×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	69
1	338	41
2	4729	39

Stop Event

1×	node limit

Counts

3 → 106

Calls

Call 1

Inputs

(*.f64 b (/.f64 (*.f64 (*.f64 b a) (-.f64 16 (*.f64 4 (*.f64 a a)))) (+.f64 4 (*.f64 -2 a))))

(*.f64 (*.f64 b a) (-.f64 16 (*.f64 4 (*.f64 a a))))

(/.f64 (*.f64 (*.f64 b a) (-.f64 16 (*.f64 4 (*.f64 a a)))) (+.f64 4 (*.f64 -2 a)))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 b a) (fma.f64 (*.f64 a a) -4 16)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 16 (*.f64 b a)) (*.f64 (*.f64 (*.f64 a a) -4) (*.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 b a) 16) (*.f64 (*.f64 b a) (*.f64 (*.f64 a a) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a) b) (fma.f64 (*.f64 a a) -4 16))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a) b) (fma.f64 (*.f64 a a) -4 16))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a) b) (fma.f64 (*.f64 a a) -4 16)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a) b) (fma.f64 (*.f64 a a) -4 16)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a) b) (fma.f64 (*.f64 a a) -4 16)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 b a) (fma.f64 (*.f64 a a) -4 16)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 4096 (*.f64 64 (pow.f64 (*.f64 a a) 3))) (*.f64 b a)) (+.f64 256 (fma.f64 64 (*.f64 a a) (*.f64 16 (pow.f64 a 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 256 (*.f64 16 (pow.f64 a 4))) (*.f64 b a)) (fma.f64 a (*.f64 a 4) 16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 b a) (-.f64 4096 (*.f64 64 (pow.f64 (*.f64 a a) 3)))) (+.f64 256 (fma.f64 64 (*.f64 a a) (*.f64 16 (pow.f64 a 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 b a) (-.f64 256 (*.f64 16 (pow.f64 a 4)))) (fma.f64 a (*.f64 a 4) 16))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 b a) (fma.f64 (*.f64 a a) -4 16)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 b a) (fma.f64 (*.f64 a a) -4 16)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 b a) (fma.f64 (*.f64 a a) -4 16))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 b a) (fma.f64 (*.f64 a a) -4 16))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (*.f64 b a) (fma.f64 (*.f64 a a) -4 16)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 a) b) (fma.f64 (*.f64 a a) -4 16)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 b a) (fma.f64 (*.f64 a a) -4 16)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 b a) (fma.f64 (*.f64 a a) -4 16)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 b a) 3) (pow.f64 (fma.f64 (*.f64 a a) -4 16) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 a a) -4 16) 3) (pow.f64 (*.f64 b a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 b a) (fma.f64 (*.f64 a a) -4 16))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 b a) (fma.f64 (*.f64 a a) -4 16))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 b a) (fma.f64 (*.f64 a a) -4 16))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 b a) (fma.f64 (*.f64 a a) -4 16))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b a) 16 (*.f64 (*.f64 b a) (*.f64 (*.f64 a a) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 16 (*.f64 b a) (*.f64 (*.f64 (*.f64 a a) -4) (*.f64 b a)))))))

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

simplify76.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

808×	`fma-def_binary64`
532×	`unsub-neg_binary64`
324×	`*-commutative_binary64`
318×	`associate-/r/_binary64`
309×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	1422
1	96	1329
2	264	1185
3	945	1149
4	2187	1149
5	5426	1149

Stop Event

1×	node limit

Counts

178 → 129

Calls

Call 1

Inputs
(/.f64 (.f64 a (.f64 (pow.f64 b 2) (-.f64 16 (.f64 4 (pow.f64 a 2))))) (+.f64 4 (.f64 -2 a)))
(/.f64 (.f64 a (.f64 (pow.f64 b 2) (-.f64 16 (.f64 4 (pow.f64 a 2))))) (+.f64 4 (.f64 -2 a)))
(/.f64 (.f64 a (.f64 (pow.f64 b 2) (-.f64 16 (.f64 4 (pow.f64 a 2))))) (+.f64 4 (.f64 -2 a)))
(/.f64 (.f64 a (.f64 (pow.f64 b 2) (-.f64 16 (.f64 4 (pow.f64 a 2))))) (+.f64 4 (.f64 -2 a)))
(/.f64 (.f64 a (.f64 (pow.f64 b 2) (-.f64 16 (.f64 4 (pow.f64 a 2))))) (+.f64 4 (.f64 -2 a)))
(/.f64 (.f64 a (.f64 (pow.f64 b 2) (-.f64 16 (.f64 4 (pow.f64 a 2))))) (+.f64 4 (.f64 -2 a)))
(/.f64 (.f64 a (.f64 (pow.f64 b 2) (-.f64 16 (.f64 4 (pow.f64 a 2))))) (+.f64 4 (.f64 -2 a)))
(/.f64 (.f64 a (.f64 (pow.f64 b 2) (-.f64 16 (.f64 4 (pow.f64 a 2))))) (+.f64 4 (.f64 -2 a)))
(/.f64 (.f64 a (.f64 (pow.f64 b 2) (-.f64 16 (.f64 4 (pow.f64 a 2))))) (+.f64 4 (.f64 -2 a)))
(/.f64 (.f64 a (.f64 (pow.f64 b 2) (-.f64 16 (.f64 4 (pow.f64 a 2))))) (+.f64 4 (.f64 -2 a)))
(/.f64 (.f64 a (.f64 (pow.f64 b 2) (-.f64 16 (.f64 4 (pow.f64 a 2))))) (+.f64 4 (.f64 -2 a)))
(/.f64 (.f64 a (.f64 (pow.f64 b 2) (-.f64 16 (.f64 4 (pow.f64 a 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 16 (*.f64 4 (pow.f64 a 2)))))
(.f64 a (.f64 b (-.f64 16 (*.f64 4 (pow.f64 a 2)))))
(.f64 a (.f64 b (-.f64 16 (*.f64 4 (pow.f64 a 2)))))
(.f64 a (.f64 b (-.f64 16 (*.f64 4 (pow.f64 a 2)))))
(.f64 a (.f64 b (-.f64 16 (*.f64 4 (pow.f64 a 2)))))
(.f64 a (.f64 b (-.f64 16 (*.f64 4 (pow.f64 a 2)))))
(.f64 a (.f64 b (-.f64 16 (*.f64 4 (pow.f64 a 2)))))
(.f64 a (.f64 b (-.f64 16 (*.f64 4 (pow.f64 a 2)))))
(.f64 a (.f64 b (-.f64 16 (*.f64 4 (pow.f64 a 2)))))
(.f64 a (.f64 b (-.f64 16 (*.f64 4 (pow.f64 a 2)))))
(.f64 a (.f64 b (-.f64 16 (*.f64 4 (pow.f64 a 2)))))
(.f64 a (.f64 b (-.f64 16 (*.f64 4 (pow.f64 a 2)))))
(.f64 16 (.f64 a b))
(+.f64 (.f64 -4 (.f64 (pow.f64 a 3) b)) (.f64 16 (.f64 a b)))
(+.f64 (.f64 -4 (.f64 (pow.f64 a 3) b)) (.f64 16 (.f64 a b)))
(+.f64 (.f64 -4 (.f64 (pow.f64 a 3) b)) (.f64 16 (.f64 a b)))
(.f64 -4 (.f64 (pow.f64 a 3) b))
(+.f64 (.f64 -4 (.f64 (pow.f64 a 3) b)) (.f64 16 (.f64 a b)))
(+.f64 (.f64 -4 (.f64 (pow.f64 a 3) b)) (.f64 16 (.f64 a b)))
(+.f64 (.f64 -4 (.f64 (pow.f64 a 3) b)) (.f64 16 (.f64 a b)))
(.f64 -4 (.f64 (pow.f64 a 3) b))
(+.f64 (.f64 -4 (.f64 (pow.f64 a 3) b)) (.f64 16 (.f64 a b)))
(+.f64 (.f64 -4 (.f64 (pow.f64 a 3) b)) (.f64 16 (.f64 a b)))
(+.f64 (.f64 -4 (.f64 (pow.f64 a 3) b)) (.f64 16 (.f64 a b)))
(/.f64 (.f64 a (.f64 b (-.f64 16 (.f64 4 (pow.f64 a 2))))) (+.f64 4 (.f64 -2 a)))
(/.f64 (.f64 a (.f64 b (-.f64 16 (.f64 4 (pow.f64 a 2))))) (+.f64 4 (.f64 -2 a)))
(/.f64 (.f64 a (.f64 b (-.f64 16 (.f64 4 (pow.f64 a 2))))) (+.f64 4 (.f64 -2 a)))
(/.f64 (.f64 a (.f64 b (-.f64 16 (.f64 4 (pow.f64 a 2))))) (+.f64 4 (.f64 -2 a)))
(/.f64 (.f64 a (.f64 b (-.f64 16 (.f64 4 (pow.f64 a 2))))) (+.f64 4 (.f64 -2 a)))
(/.f64 (.f64 a (.f64 b (-.f64 16 (.f64 4 (pow.f64 a 2))))) (+.f64 4 (.f64 -2 a)))
(/.f64 (.f64 a (.f64 b (-.f64 16 (.f64 4 (pow.f64 a 2))))) (+.f64 4 (.f64 -2 a)))
(/.f64 (.f64 a (.f64 b (-.f64 16 (.f64 4 (pow.f64 a 2))))) (+.f64 4 (.f64 -2 a)))
(/.f64 (.f64 a (.f64 b (-.f64 16 (.f64 4 (pow.f64 a 2))))) (+.f64 4 (.f64 -2 a)))
(/.f64 (.f64 a (.f64 b (-.f64 16 (.f64 4 (pow.f64 a 2))))) (+.f64 4 (.f64 -2 a)))
(/.f64 (.f64 a (.f64 b (-.f64 16 (.f64 4 (pow.f64 a 2))))) (+.f64 4 (.f64 -2 a)))
(/.f64 (.f64 a (.f64 b (-.f64 16 (.f64 4 (pow.f64 a 2))))) (+.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)))

Outputs
(/.f64 (.f64 a (.f64 (pow.f64 b 2) (-.f64 16 (.f64 4 (pow.f64 a 2))))) (+.f64 4 (.f64 -2 a)))
(/.f64 (.f64 a (.f64 (.f64 b b) (+.f64 16 (.f64 -4 (.f64 a a))))) (+.f64 4 (.f64 a -2)))
(.f64 (/.f64 a (fma.f64 a -2 4)) (.f64 (.f64 b b) (+.f64 16 (.f64 (*.f64 -4 a) a))))
(.f64 (.f64 (.f64 b b) (fma.f64 (.f64 a a) -4 16)) (/.f64 a (fma.f64 a -2 4)))
(.f64 b (.f64 a (/.f64 (fma.f64 a (*.f64 a -4) 16) (/.f64 (fma.f64 a -2 4) b))))
(.f64 a (.f64 (/.f64 (.f64 b b) (fma.f64 a -2 4)) (fma.f64 a (.f64 a -4) 16)))
(.f64 b (.f64 b (/.f64 (fma.f64 a 16 (*.f64 -4 (pow.f64 a 3))) (fma.f64 a -2 4))))
(/.f64 (.f64 a (.f64 (pow.f64 b 2) (-.f64 16 (.f64 4 (pow.f64 a 2))))) (+.f64 4 (.f64 -2 a)))
(/.f64 (.f64 a (.f64 (.f64 b b) (+.f64 16 (.f64 -4 (.f64 a a))))) (+.f64 4 (.f64 a -2)))
(.f64 (/.f64 a (fma.f64 a -2 4)) (.f64 (.f64 b b) (+.f64 16 (.f64 (*.f64 -4 a) a))))
(.f64 (.f64 (.f64 b b) (fma.f64 (.f64 a a) -4 16)) (/.f64 a (fma.f64 a -2 4)))
(.f64 b (.f64 a (/.f64 (fma.f64 a (*.f64 a -4) 16) (/.f64 (fma.f64 a -2 4) b))))
(.f64 a (.f64 (/.f64 (.f64 b b) (fma.f64 a -2 4)) (fma.f64 a (.f64 a -4) 16)))
(.f64 b (.f64 b (/.f64 (fma.f64 a 16 (*.f64 -4 (pow.f64 a 3))) (fma.f64 a -2 4))))
(/.f64 (.f64 a (.f64 (pow.f64 b 2) (-.f64 16 (.f64 4 (pow.f64 a 2))))) (+.f64 4 (.f64 -2 a)))
(/.f64 (.f64 a (.f64 (.f64 b b) (+.f64 16 (.f64 -4 (.f64 a a))))) (+.f64 4 (.f64 a -2)))
(.f64 (/.f64 a (fma.f64 a -2 4)) (.f64 (.f64 b b) (+.f64 16 (.f64 (*.f64 -4 a) a))))
(.f64 (.f64 (.f64 b b) (fma.f64 (.f64 a a) -4 16)) (/.f64 a (fma.f64 a -2 4)))
(.f64 b (.f64 a (/.f64 (fma.f64 a (*.f64 a -4) 16) (/.f64 (fma.f64 a -2 4) b))))
(.f64 a (.f64 (/.f64 (.f64 b b) (fma.f64 a -2 4)) (fma.f64 a (.f64 a -4) 16)))
(.f64 b (.f64 b (/.f64 (fma.f64 a 16 (*.f64 -4 (pow.f64 a 3))) (fma.f64 a -2 4))))
(/.f64 (.f64 a (.f64 (pow.f64 b 2) (-.f64 16 (.f64 4 (pow.f64 a 2))))) (+.f64 4 (.f64 -2 a)))
(/.f64 (.f64 a (.f64 (.f64 b b) (+.f64 16 (.f64 -4 (.f64 a a))))) (+.f64 4 (.f64 a -2)))
(.f64 (/.f64 a (fma.f64 a -2 4)) (.f64 (.f64 b b) (+.f64 16 (.f64 (*.f64 -4 a) a))))
(.f64 (.f64 (.f64 b b) (fma.f64 (.f64 a a) -4 16)) (/.f64 a (fma.f64 a -2 4)))
(.f64 b (.f64 a (/.f64 (fma.f64 a (*.f64 a -4) 16) (/.f64 (fma.f64 a -2 4) b))))
(.f64 a (.f64 (/.f64 (.f64 b b) (fma.f64 a -2 4)) (fma.f64 a (.f64 a -4) 16)))
(.f64 b (.f64 b (/.f64 (fma.f64 a 16 (*.f64 -4 (pow.f64 a 3))) (fma.f64 a -2 4))))
(/.f64 (.f64 a (.f64 (pow.f64 b 2) (-.f64 16 (.f64 4 (pow.f64 a 2))))) (+.f64 4 (.f64 -2 a)))
(/.f64 (.f64 a (.f64 (.f64 b b) (+.f64 16 (.f64 -4 (.f64 a a))))) (+.f64 4 (.f64 a -2)))
(.f64 (/.f64 a (fma.f64 a -2 4)) (.f64 (.f64 b b) (+.f64 16 (.f64 (*.f64 -4 a) a))))
(.f64 (.f64 (.f64 b b) (fma.f64 (.f64 a a) -4 16)) (/.f64 a (fma.f64 a -2 4)))
(.f64 b (.f64 a (/.f64 (fma.f64 a (*.f64 a -4) 16) (/.f64 (fma.f64 a -2 4) b))))
(.f64 a (.f64 (/.f64 (.f64 b b) (fma.f64 a -2 4)) (fma.f64 a (.f64 a -4) 16)))
(.f64 b (.f64 b (/.f64 (fma.f64 a 16 (*.f64 -4 (pow.f64 a 3))) (fma.f64 a -2 4))))
(/.f64 (.f64 a (.f64 (pow.f64 b 2) (-.f64 16 (.f64 4 (pow.f64 a 2))))) (+.f64 4 (.f64 -2 a)))
(/.f64 (.f64 a (.f64 (.f64 b b) (+.f64 16 (.f64 -4 (.f64 a a))))) (+.f64 4 (.f64 a -2)))
(.f64 (/.f64 a (fma.f64 a -2 4)) (.f64 (.f64 b b) (+.f64 16 (.f64 (*.f64 -4 a) a))))
(.f64 (.f64 (.f64 b b) (fma.f64 (.f64 a a) -4 16)) (/.f64 a (fma.f64 a -2 4)))
(.f64 b (.f64 a (/.f64 (fma.f64 a (*.f64 a -4) 16) (/.f64 (fma.f64 a -2 4) b))))
(.f64 a (.f64 (/.f64 (.f64 b b) (fma.f64 a -2 4)) (fma.f64 a (.f64 a -4) 16)))
(.f64 b (.f64 b (/.f64 (fma.f64 a 16 (*.f64 -4 (pow.f64 a 3))) (fma.f64 a -2 4))))
(/.f64 (.f64 a (.f64 (pow.f64 b 2) (-.f64 16 (.f64 4 (pow.f64 a 2))))) (+.f64 4 (.f64 -2 a)))
(/.f64 (.f64 a (.f64 (.f64 b b) (+.f64 16 (.f64 -4 (.f64 a a))))) (+.f64 4 (.f64 a -2)))
(.f64 (/.f64 a (fma.f64 a -2 4)) (.f64 (.f64 b b) (+.f64 16 (.f64 (*.f64 -4 a) a))))
(.f64 (.f64 (.f64 b b) (fma.f64 (.f64 a a) -4 16)) (/.f64 a (fma.f64 a -2 4)))
(.f64 b (.f64 a (/.f64 (fma.f64 a (*.f64 a -4) 16) (/.f64 (fma.f64 a -2 4) b))))
(.f64 a (.f64 (/.f64 (.f64 b b) (fma.f64 a -2 4)) (fma.f64 a (.f64 a -4) 16)))
(.f64 b (.f64 b (/.f64 (fma.f64 a 16 (*.f64 -4 (pow.f64 a 3))) (fma.f64 a -2 4))))
(/.f64 (.f64 a (.f64 (pow.f64 b 2) (-.f64 16 (.f64 4 (pow.f64 a 2))))) (+.f64 4 (.f64 -2 a)))
(/.f64 (.f64 a (.f64 (.f64 b b) (+.f64 16 (.f64 -4 (.f64 a a))))) (+.f64 4 (.f64 a -2)))
(.f64 (/.f64 a (fma.f64 a -2 4)) (.f64 (.f64 b b) (+.f64 16 (.f64 (*.f64 -4 a) a))))
(.f64 (.f64 (.f64 b b) (fma.f64 (.f64 a a) -4 16)) (/.f64 a (fma.f64 a -2 4)))
(.f64 b (.f64 a (/.f64 (fma.f64 a (*.f64 a -4) 16) (/.f64 (fma.f64 a -2 4) b))))
(.f64 a (.f64 (/.f64 (.f64 b b) (fma.f64 a -2 4)) (fma.f64 a (.f64 a -4) 16)))
(.f64 b (.f64 b (/.f64 (fma.f64 a 16 (*.f64 -4 (pow.f64 a 3))) (fma.f64 a -2 4))))
(/.f64 (.f64 a (.f64 (pow.f64 b 2) (-.f64 16 (.f64 4 (pow.f64 a 2))))) (+.f64 4 (.f64 -2 a)))
(/.f64 (.f64 a (.f64 (.f64 b b) (+.f64 16 (.f64 -4 (.f64 a a))))) (+.f64 4 (.f64 a -2)))
(.f64 (/.f64 a (fma.f64 a -2 4)) (.f64 (.f64 b b) (+.f64 16 (.f64 (*.f64 -4 a) a))))
(.f64 (.f64 (.f64 b b) (fma.f64 (.f64 a a) -4 16)) (/.f64 a (fma.f64 a -2 4)))
(.f64 b (.f64 a (/.f64 (fma.f64 a (*.f64 a -4) 16) (/.f64 (fma.f64 a -2 4) b))))
(.f64 a (.f64 (/.f64 (.f64 b b) (fma.f64 a -2 4)) (fma.f64 a (.f64 a -4) 16)))
(.f64 b (.f64 b (/.f64 (fma.f64 a 16 (*.f64 -4 (pow.f64 a 3))) (fma.f64 a -2 4))))
(/.f64 (.f64 a (.f64 (pow.f64 b 2) (-.f64 16 (.f64 4 (pow.f64 a 2))))) (+.f64 4 (.f64 -2 a)))
(/.f64 (.f64 a (.f64 (.f64 b b) (+.f64 16 (.f64 -4 (.f64 a a))))) (+.f64 4 (.f64 a -2)))
(.f64 (/.f64 a (fma.f64 a -2 4)) (.f64 (.f64 b b) (+.f64 16 (.f64 (*.f64 -4 a) a))))
(.f64 (.f64 (.f64 b b) (fma.f64 (.f64 a a) -4 16)) (/.f64 a (fma.f64 a -2 4)))
(.f64 b (.f64 a (/.f64 (fma.f64 a (*.f64 a -4) 16) (/.f64 (fma.f64 a -2 4) b))))
(.f64 a (.f64 (/.f64 (.f64 b b) (fma.f64 a -2 4)) (fma.f64 a (.f64 a -4) 16)))
(.f64 b (.f64 b (/.f64 (fma.f64 a 16 (*.f64 -4 (pow.f64 a 3))) (fma.f64 a -2 4))))
(/.f64 (.f64 a (.f64 (pow.f64 b 2) (-.f64 16 (.f64 4 (pow.f64 a 2))))) (+.f64 4 (.f64 -2 a)))
(/.f64 (.f64 a (.f64 (.f64 b b) (+.f64 16 (.f64 -4 (.f64 a a))))) (+.f64 4 (.f64 a -2)))
(.f64 (/.f64 a (fma.f64 a -2 4)) (.f64 (.f64 b b) (+.f64 16 (.f64 (*.f64 -4 a) a))))
(.f64 (.f64 (.f64 b b) (fma.f64 (.f64 a a) -4 16)) (/.f64 a (fma.f64 a -2 4)))
(.f64 b (.f64 a (/.f64 (fma.f64 a (*.f64 a -4) 16) (/.f64 (fma.f64 a -2 4) b))))
(.f64 a (.f64 (/.f64 (.f64 b b) (fma.f64 a -2 4)) (fma.f64 a (.f64 a -4) 16)))
(.f64 b (.f64 b (/.f64 (fma.f64 a 16 (*.f64 -4 (pow.f64 a 3))) (fma.f64 a -2 4))))
(/.f64 (.f64 a (.f64 (pow.f64 b 2) (-.f64 16 (.f64 4 (pow.f64 a 2))))) (+.f64 4 (.f64 -2 a)))
(/.f64 (.f64 a (.f64 (.f64 b b) (+.f64 16 (.f64 -4 (.f64 a a))))) (+.f64 4 (.f64 a -2)))
(.f64 (/.f64 a (fma.f64 a -2 4)) (.f64 (.f64 b b) (+.f64 16 (.f64 (*.f64 -4 a) a))))
(.f64 (.f64 (.f64 b b) (fma.f64 (.f64 a a) -4 16)) (/.f64 a (fma.f64 a -2 4)))
(.f64 b (.f64 a (/.f64 (fma.f64 a (*.f64 a -4) 16) (/.f64 (fma.f64 a -2 4) b))))
(.f64 a (.f64 (/.f64 (.f64 b b) (fma.f64 a -2 4)) (fma.f64 a (.f64 a -4) 16)))
(.f64 b (.f64 b (/.f64 (fma.f64 a 16 (*.f64 -4 (pow.f64 a 3))) (fma.f64 a -2 4))))
(.f64 4 (.f64 a (pow.f64 b 2)))
(.f64 (.f64 4 a) (*.f64 b b))
(.f64 a (.f64 (*.f64 b b) 4))
(.f64 a (.f64 b (*.f64 b 4)))
(.f64 b (.f64 b (*.f64 a 4)))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (.f64 4 (.f64 a (pow.f64 b 2))))
(fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (.f64 (.f64 4 a) (.f64 b b)))
(.f64 (.f64 b b) (+.f64 (.f64 a 4) (.f64 2 (*.f64 a a))))
(.f64 b (.f64 b (.f64 a (+.f64 (.f64 a 2) 4))))
(.f64 b (.f64 (*.f64 a b) (fma.f64 a 2 4)))
(.f64 a (.f64 (*.f64 b b) (fma.f64 a 2 4)))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (.f64 4 (.f64 a (pow.f64 b 2))))
(fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (.f64 (.f64 4 a) (.f64 b b)))
(.f64 (.f64 b b) (+.f64 (.f64 a 4) (.f64 2 (*.f64 a a))))
(.f64 b (.f64 b (.f64 a (+.f64 (.f64 a 2) 4))))
(.f64 b (.f64 (*.f64 a b) (fma.f64 a 2 4)))
(.f64 a (.f64 (*.f64 b b) (fma.f64 a 2 4)))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (.f64 4 (.f64 a (pow.f64 b 2))))
(fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (.f64 (.f64 4 a) (.f64 b b)))
(.f64 (.f64 b b) (+.f64 (.f64 a 4) (.f64 2 (*.f64 a a))))
(.f64 b (.f64 b (.f64 a (+.f64 (.f64 a 2) 4))))
(.f64 b (.f64 (*.f64 a b) (fma.f64 a 2 4)))
(.f64 a (.f64 (*.f64 b b) (fma.f64 a 2 4)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 2 (.f64 (.f64 b b) (.f64 a a)))
(.f64 2 (.f64 (.f64 a b) (.f64 a b)))
(.f64 a (.f64 a (.f64 2 (.f64 b b))))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (.f64 4 (.f64 a (pow.f64 b 2))))
(fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (.f64 (.f64 4 a) (.f64 b b)))
(.f64 (.f64 b b) (+.f64 (.f64 a 4) (.f64 2 (*.f64 a a))))
(.f64 b (.f64 b (.f64 a (+.f64 (.f64 a 2) 4))))
(.f64 b (.f64 (*.f64 a b) (fma.f64 a 2 4)))
(.f64 a (.f64 (*.f64 b b) (fma.f64 a 2 4)))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (.f64 4 (.f64 a (pow.f64 b 2))))
(fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (.f64 (.f64 4 a) (.f64 b b)))
(.f64 (.f64 b b) (+.f64 (.f64 a 4) (.f64 2 (*.f64 a a))))
(.f64 b (.f64 b (.f64 a (+.f64 (.f64 a 2) 4))))
(.f64 b (.f64 (*.f64 a b) (fma.f64 a 2 4)))
(.f64 a (.f64 (*.f64 b b) (fma.f64 a 2 4)))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (.f64 4 (.f64 a (pow.f64 b 2))))
(fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (.f64 (.f64 4 a) (.f64 b b)))
(.f64 (.f64 b b) (+.f64 (.f64 a 4) (.f64 2 (*.f64 a a))))
(.f64 b (.f64 b (.f64 a (+.f64 (.f64 a 2) 4))))
(.f64 b (.f64 (*.f64 a b) (fma.f64 a 2 4)))
(.f64 a (.f64 (*.f64 b b) (fma.f64 a 2 4)))
(.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 2 (.f64 (.f64 b b) (.f64 a a)))
(.f64 2 (.f64 (.f64 a b) (.f64 a b)))
(.f64 a (.f64 a (.f64 2 (.f64 b b))))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (.f64 4 (.f64 a (pow.f64 b 2))))
(fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (.f64 (.f64 4 a) (.f64 b b)))
(.f64 (.f64 b b) (+.f64 (.f64 a 4) (.f64 2 (*.f64 a a))))
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(.f64 b (+.f64 (.f64 a 4) (.f64 2 (.f64 a a))))
(.f64 b (.f64 a (+.f64 (*.f64 a 2) 4)))
(.f64 (.f64 a 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)))
(fma.f64 4 (.f64 a b) (.f64 2 (.f64 b (.f64 a a))))
(.f64 b (+.f64 (.f64 a 4) (.f64 2 (.f64 a a))))
(.f64 b (.f64 a (+.f64 (*.f64 a 2) 4)))
(.f64 (.f64 a 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 b (.f64 2 (*.f64 a a)))
(.f64 a (.f64 (*.f64 a b) 2))
(.f64 a (.f64 2 (*.f64 a b)))
(.f64 a (.f64 b (*.f64 a 2)))
(+.f64 (.f64 4 (.f64 a b)) (.f64 2 (.f64 (pow.f64 a 2) b)))
(fma.f64 4 (.f64 a b) (.f64 2 (.f64 b (.f64 a a))))
(.f64 b (+.f64 (.f64 a 4) (.f64 2 (.f64 a a))))
(.f64 b (.f64 a (+.f64 (*.f64 a 2) 4)))
(.f64 (.f64 a 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)))
(fma.f64 4 (.f64 a b) (.f64 2 (.f64 b (.f64 a a))))
(.f64 b (+.f64 (.f64 a 4) (.f64 2 (.f64 a a))))
(.f64 b (.f64 a (+.f64 (*.f64 a 2) 4)))
(.f64 (.f64 a 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)))
(fma.f64 4 (.f64 a b) (.f64 2 (.f64 b (.f64 a a))))
(.f64 b (+.f64 (.f64 a 4) (.f64 2 (.f64 a a))))
(.f64 b (.f64 a (+.f64 (*.f64 a 2) 4)))
(.f64 (.f64 a b) (fma.f64 a 2 4))
(.f64 b (.f64 a (fma.f64 a 2 4)))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 11 computations (45% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite78.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	102	7
2	1128	7

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

Outputs

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

simplify174.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	84
1	12	84
2	23	84
3	44	84
4	105	84
5	330	84
6	1242	84
7	2121	84
8	2285	84
9	2469	84
10	2677	84
11	2974	84
12	3367	84
13	3848	84
14	4414	84
15	5100	84
16	5933	84
17	6329	84
18	6623	84
19	6895	84
20	6965	84
21	6999	84
22	7940	84

Stop Event

1×	node limit

Counts

26 → 16

Calls

Call 1

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

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

localize20.0ms (0.2%)

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)))
0.0ms	a	@	inf	(.f64 (.f64 a a) (+.f64 4 (*.f64 a -4)))
0.0ms	a	@	-inf	(.f64 (.f64 a a) (+.f64 4 (*.f64 a -4)))

rewrite54.0ms (0.7%)

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)))))))

simplify170.0ms (2%)

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)))

localize41.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 86 to 54 computations (37.2% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite74.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	164	10
2	2005	10

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

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

simplify169.0ms (2%)

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

36 → 28

Calls

Call 1

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

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

eval215.0ms (2.6%)

Compiler: Compiled 11174 to 7006 computations (37.3% saved)

prune70.0ms (0.8%)

Pruning

15 alts after pruning (7 fresh and 8 done)

	Pruned	Kept	Total
New	416	4	420
Fresh	1	3	4
Picked	0	1	1
Done	1	7	8
Total	418	15	433

Error

Counts

433 → 15

Alt Table

Click to see full alt table

Status	Error	Program
▶	11.3b	(-.f64 (+.f64 (.f64 (+.f64 a -4) (pow.f64 a 3)) (.f64 (*.f64 a a) 4)) 1)
	20.1b	(-.f64 (+.f64 (.f64 4 (.f64 a a)) (.f64 b (/.f64 (.f64 (.f64 b a) (-.f64 16 (.f64 4 (.f64 a a)))) (+.f64 4 (.f64 -2 a))))) 1)
	20.1b	(-.f64 (+.f64 (.f64 4 (.f64 a a)) (.f64 b (.f64 b (.f64 a (.f64 a 2))))) 1)
▶	20.2b	(-.f64 (.f64 12 (.f64 b b)) 1)
✓	20.2b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a -4))) 1)
✓	20.1b	(-.f64 (+.f64 (.f64 4 (.f64 a a)) (.f64 b (.f64 b (.f64 a (+.f64 4 (.f64 2 a)))))) 1)
✓	54.2b	(*.f64 (pow.f64 a 3) (+.f64 -4 a))
▶	20.2b	(-.f64 (+.f64 (.f64 4 (.f64 a a)) (.f64 a (.f64 b (*.f64 b 4)))) 1)
✓	11.3b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
▶	20.1b	(-.f64 (+.f64 (.f64 4 (.f64 a a)) (.f64 a (.f64 b (.f64 2 (.f64 a b))))) 1)
▶	13.2b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)
✓	54.7b	(pow.f64 a 4)
✓	52.1b	(pow.f64 b 4)
✓	10.0b	(-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1)
✓	20.2b	(-.f64 (.f64 4 (.f64 a a)) 1)

Compiler

Compiled 335 to 238 computations (29% saved)

localize21.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 56 to 36 computations (35.7% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite112.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

514×	`log-prod_binary64`
495×	`fma-def_binary64`
370×	`pow-prod-down_binary64`
288×	`pow2_binary64`
237×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	250	34
2	3139	34

Stop Event

1×	node limit

Counts

3 → 135

Calls

Call 1

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

Outputs

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

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

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

simplify122.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	14	357
1	37	357
2	81	339
3	262	325
4	875	319
5	2845	319
6	3067	319
7	3312	319
8	4025	319
9	6647	319
10	7021	319
11	7513	319

Stop Event

1×	node limit

Counts

171 → 144

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	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
1.0ms	b	@	inf	(.f64 12 (.f64 b b))
0.0ms	b	@	0	(.f64 12 (.f64 b b))
0.0ms	b	@	-inf	(.f64 12 (.f64 b b))

rewrite44.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	102	7
2	1148	7

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

Outputs

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

simplify173.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	84
1	12	84
2	23	84
3	44	84
4	105	84
5	331	84
6	1250	84
7	2123	84
8	2286	84
9	2470	84
10	2678	84
11	2973	84
12	3366	84
13	3849	84
14	4417	84
15	5105	84
16	5938	84
17	6330	84
18	6614	84
19	6890	84
20	6966	84
21	7002	84
22	7943	84

Stop Event

1×	node limit

Counts

26 → 16

Calls

Call 1

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

Outputs
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(.f64 b (.f64 12 b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(.f64 b (.f64 12 b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(.f64 b (.f64 12 b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(.f64 b (.f64 12 b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(.f64 b (.f64 12 b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(.f64 b (.f64 12 b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(.f64 b (.f64 12 b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(.f64 b (.f64 12 b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(.f64 b (.f64 12 b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(.f64 b (.f64 12 b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(.f64 b (.f64 12 b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(.f64 b (.f64 12 b))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 33 to 15 computations (54.5% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite60.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

684×	`pow1_binary64`
644×	`add-log-exp_binary64`
644×	`log1p-expm1-u_binary64`
644×	`expm1-log1p-u_binary64`
631×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	20
1	136	16
2	1783	16

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

Outputs

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

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

simplify187.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	186
1	20	168
2	41	168
3	95	168
4	264	168
5	921	168
6	1862	168
7	2157	168
8	2342	168
9	2543	168
10	2817	168
11	3177	168
12	3630	168
13	4166	168
14	4800	168
15	5551	168
16	5862	168
17	6086	168
18	6284	168
19	6340	168
20	6364	168
21	7198	168

Stop Event

1×	node limit

Counts

78 → 63

Calls

Call 1

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

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

localize36.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 4 (.f64 a a)) (.f64 a (.f64 b (*.f64 b 4))))
	0.0b	(.f64 4 (.f64 a a))
✓	0.3b	(.f64 a (.f64 b (*.f64 b 4)))

Compiler

Compiled 57 to 32 computations (43.9% saved)

series11.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
7.0ms	a	@	0	(.f64 a (.f64 b (*.f64 b 4)))
1.0ms	a	@	inf	(.f64 a (.f64 b (*.f64 b 4)))
1.0ms	b	@	0	(.f64 a (.f64 b (*.f64 b 4)))
1.0ms	b	@	inf	(.f64 a (.f64 b (*.f64 b 4)))
0.0ms	a	@	-inf	(.f64 a (.f64 b (*.f64 b 4)))

rewrite77.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

584×	`log-prod_binary64`
420×	`fma-def_binary64`
415×	`pow-prod-down_binary64`
275×	`pow2_binary64`
244×	`pow-unpow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	216	26
2	2891	24

Stop Event

1×	node limit

Counts

2 → 106

Calls

Call 1

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

Outputs

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

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

simplify194.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1088×	`sqr-pow_binary64`
782×	`fabs-mul_binary64`
740×	`cube-prod_binary64`
656×	`pow-sqr_binary64`
470×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	579
1	28	525
2	64	525
3	170	489
4	632	489
5	1130	489
6	1867	489
7	2011	489
8	2110	489
9	2243	489
10	2435	489
11	2684	489
12	3003	489
13	3396	489
14	3952	489
15	4695	489
16	5633	489
17	6191	489
18	6675	489
19	7121	489
20	7365	489
21	7411	489

Stop Event

1×	node limit

Counts

154 → 112

Calls

Call 1

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

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

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 71 to 34 computations (52.1% saved)

series8.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite86.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

689×	`log-prod_binary64`
488×	`pow-prod-down_binary64`
439×	`fma-def_binary64`
338×	`pow-unpow_binary64`
315×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	43
1	256	37
2	3347	37

Stop Event

1×	node limit

Counts

3 → 118

Calls

Call 1

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

Outputs

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

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

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

simplify301.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

1252×	`unswap-sqr_binary64`
757×	`sqr-pow_binary64`
440×	`cube-prod_binary64`
415×	`fma-def_binary64`
405×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	879
1	39	879
2	96	879
3	269	879
4	1213	879
5	2164	879
6	2370	879
7	2570	879
8	2774	879
9	2918	879
10	3065	879
11	3229	879
12	3418	879
13	3631	879
14	3861	879
15	4105	879
16	4370	879
17	4649	879
18	4949	879
19	5263	879
20	5333	879
21	7281	879
22	7526	879
23	7756	879
24	7871	879

Stop Event

1×	node limit

Counts

190 → 127

Calls

Call 1

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

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

eval223.0ms (2.7%)

Compiler: Compiled 9528 to 6507 computations (31.7% saved)

prune125.0ms (1.5%)

Pruning

17 alts after pruning (5 fresh and 12 done)

	Pruned	Kept	Total
New	491	3	494
Fresh	0	2	2
Picked	1	0	1
Done	0	12	12
Total	492	17	509

Error

Counts

509 → 17

Alt Table

Click to see full alt table

Status	Error	Program
✓	11.3b	(-.f64 (+.f64 (.f64 (+.f64 a -4) (pow.f64 a 3)) (.f64 (*.f64 a a) 4)) 1)
	20.1b	(-.f64 (+.f64 (.f64 4 (.f64 a a)) (.f64 b (/.f64 (.f64 (.f64 b a) (-.f64 16 (.f64 4 (.f64 a a)))) (+.f64 4 (.f64 -2 a))))) 1)
	20.1b	(-.f64 (+.f64 (.f64 4 (.f64 a a)) (.f64 b (.f64 b (.f64 a (.f64 a 2))))) 1)
✓	20.2b	(-.f64 (.f64 12 (.f64 b b)) 1)
✓	20.2b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a -4))) 1)
	20.1b	(-.f64 (+.f64 (.f64 4 (.f64 a a)) (.f64 (.f64 a a) (.f64 2 (.f64 b b)))) 1)
✓	20.1b	(-.f64 (+.f64 (.f64 4 (.f64 a a)) (.f64 b (.f64 b (.f64 a (+.f64 4 (.f64 2 a)))))) 1)
✓	54.2b	(*.f64 (pow.f64 a 3) (+.f64 -4 a))
✓	20.2b	(-.f64 (+.f64 (.f64 4 (.f64 a a)) (.f64 a (.f64 b (*.f64 b 4)))) 1)
✓	11.3b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
	13.6b	(-.f64 (.f64 (.f64 a a) (*.f64 a a)) 1)
✓	13.2b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)
	20.2b	(-.f64 (.f64 b (.f64 12 b)) 1)
✓	54.7b	(pow.f64 a 4)
✓	52.1b	(pow.f64 b 4)
✓	10.0b	(-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1)
✓	20.2b	(-.f64 (.f64 4 (.f64 a a)) 1)

Compiler

Compiled 232 to 164 computations (29.3% saved)

regimes102.0ms (1.2%)

Counts

24 → 1

Calls

Call 1

Inputs
(-.f64 (.f64 b (.f64 12 b)) 1)
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 4 (.f64 a a)) 1)
(-.f64 (.f64 (.f64 a a) (*.f64 a a)) 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 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
(-.f64 (+.f64 (.f64 4 (.f64 a a)) (.f64 a (.f64 b (*.f64 b 4)))) 1)
(-.f64 (+.f64 (.f64 4 (.f64 a a)) (.f64 (.f64 a a) (.f64 2 (.f64 b b)))) 1)
(-.f64 (+.f64 (.f64 4 (.f64 a a)) (.f64 b (.f64 b (.f64 a (.f64 a 2))))) 1)
(-.f64 (+.f64 (.f64 4 (.f64 a a)) (.f64 a (.f64 b (.f64 2 (.f64 a b))))) 1)
(-.f64 (+.f64 (.f64 4 (.f64 a a)) (.f64 b (.f64 b (.f64 a (+.f64 4 (.f64 2 a)))))) 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 (+.f64 (.f64 4 (.f64 a a)) (.f64 b (/.f64 (.f64 (.f64 b a) (-.f64 16 (.f64 4 (.f64 a a)))) (+.f64 4 (.f64 -2 a))))) 1)
(-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (/.f64 (.f64 (.f64 b a) (-.f64 16 (.f64 4 (.f64 a a)))) (+.f64 4 (*.f64 -2 a))))) 1)
(pow.f64 a 4)
(pow.f64 b 4)
(*.f64 (pow.f64 a 3) (+.f64 -4 a))
(-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1)
(-.f64 (+.f64 (.f64 (+.f64 a -4) (pow.f64 a 3)) (.f64 (*.f64 a a) 4)) 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 (.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))

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

6 calls:

50.0ms	a
13.0ms	b
9.0ms	(+.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)))))
7.0ms	(*.f64 b b)
7.0ms	(*.f64 b b)

Results

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

Compiler

Compiled 449 to 269 computations (40.1% saved)

regimes75.0ms (0.9%)

Counts

23 → 1

Calls

Call 1

Inputs
(-.f64 (.f64 b (.f64 12 b)) 1)
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 4 (.f64 a a)) 1)
(-.f64 (.f64 (.f64 a a) (*.f64 a a)) 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 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
(-.f64 (+.f64 (.f64 4 (.f64 a a)) (.f64 a (.f64 b (*.f64 b 4)))) 1)
(-.f64 (+.f64 (.f64 4 (.f64 a a)) (.f64 (.f64 a a) (.f64 2 (.f64 b b)))) 1)
(-.f64 (+.f64 (.f64 4 (.f64 a a)) (.f64 b (.f64 b (.f64 a (.f64 a 2))))) 1)
(-.f64 (+.f64 (.f64 4 (.f64 a a)) (.f64 a (.f64 b (.f64 2 (.f64 a b))))) 1)
(-.f64 (+.f64 (.f64 4 (.f64 a a)) (.f64 b (.f64 b (.f64 a (+.f64 4 (.f64 2 a)))))) 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 (+.f64 (.f64 4 (.f64 a a)) (.f64 b (/.f64 (.f64 (.f64 b a) (-.f64 16 (.f64 4 (.f64 a a)))) (+.f64 4 (.f64 -2 a))))) 1)
(-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (/.f64 (.f64 (.f64 b a) (-.f64 16 (.f64 4 (.f64 a a)))) (+.f64 4 (*.f64 -2 a))))) 1)
(pow.f64 a 4)
(pow.f64 b 4)
(*.f64 (pow.f64 a 3) (+.f64 -4 a))
(-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1)
(-.f64 (+.f64 (.f64 (+.f64 a -4) (pow.f64 a 3)) (.f64 (*.f64 a a) 4)) 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 (.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:

24.0ms	(+.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	b
15.0ms	a
6.0ms	(*.f64 b b)
5.0ms	(-.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 421 to 252 computations (40.1% saved)

regimes110.0ms (1.3%)

Counts

22 → 2

Calls

Call 1

Inputs
(-.f64 (.f64 b (.f64 12 b)) 1)
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 4 (.f64 a a)) 1)
(-.f64 (.f64 (.f64 a a) (*.f64 a a)) 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 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
(-.f64 (+.f64 (.f64 4 (.f64 a a)) (.f64 a (.f64 b (*.f64 b 4)))) 1)
(-.f64 (+.f64 (.f64 4 (.f64 a a)) (.f64 (.f64 a a) (.f64 2 (.f64 b b)))) 1)
(-.f64 (+.f64 (.f64 4 (.f64 a a)) (.f64 b (.f64 b (.f64 a (.f64 a 2))))) 1)
(-.f64 (+.f64 (.f64 4 (.f64 a a)) (.f64 a (.f64 b (.f64 2 (.f64 a b))))) 1)
(-.f64 (+.f64 (.f64 4 (.f64 a a)) (.f64 b (.f64 b (.f64 a (+.f64 4 (.f64 2 a)))))) 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 (+.f64 (.f64 4 (.f64 a a)) (.f64 b (/.f64 (.f64 (.f64 b a) (-.f64 16 (.f64 4 (.f64 a a)))) (+.f64 4 (.f64 -2 a))))) 1)
(-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (/.f64 (.f64 (.f64 b a) (-.f64 16 (.f64 4 (.f64 a a)))) (+.f64 4 (*.f64 -2 a))))) 1)
(pow.f64 a 4)
(pow.f64 b 4)
(*.f64 (pow.f64 a 3) (+.f64 -4 a))
(-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1)
(-.f64 (+.f64 (.f64 (+.f64 a -4) (pow.f64 a 3)) (.f64 (*.f64 a a) 4)) 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)

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

Calls

4 calls:

33.0ms	b
33.0ms	a
19.0ms	(*.f64 b b)
16.0ms	(*.f64 b b)

Results

Error	Segments	Branch
1.2b	3	`a`
0.8b	3	`b`
0.8b	2	`(*.f64 b b)`
0.8b	2	`(*.f64 b b)`

Compiler

Compiled 337 to 204 computations (39.5% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.806357163756989e-8	6.712303583010059e-5

Compiler

Compiled 34 to 23 computations (32.4% saved)

regimes91.0ms (1.1%)

Counts

21 → 3

Calls

Call 1

Inputs
(-.f64 (.f64 b (.f64 12 b)) 1)
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 4 (.f64 a a)) 1)
(-.f64 (.f64 (.f64 a a) (*.f64 a a)) 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 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
(-.f64 (+.f64 (.f64 4 (.f64 a a)) (.f64 a (.f64 b (*.f64 b 4)))) 1)
(-.f64 (+.f64 (.f64 4 (.f64 a a)) (.f64 (.f64 a a) (.f64 2 (.f64 b b)))) 1)
(-.f64 (+.f64 (.f64 4 (.f64 a a)) (.f64 b (.f64 b (.f64 a (.f64 a 2))))) 1)
(-.f64 (+.f64 (.f64 4 (.f64 a a)) (.f64 a (.f64 b (.f64 2 (.f64 a b))))) 1)
(-.f64 (+.f64 (.f64 4 (.f64 a a)) (.f64 b (.f64 b (.f64 a (+.f64 4 (.f64 2 a)))))) 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 (+.f64 (.f64 4 (.f64 a a)) (.f64 b (/.f64 (.f64 (.f64 b a) (-.f64 16 (.f64 4 (.f64 a a)))) (+.f64 4 (.f64 -2 a))))) 1)
(-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (/.f64 (.f64 (.f64 b a) (-.f64 16 (.f64 4 (.f64 a a)))) (+.f64 4 (*.f64 -2 a))))) 1)
(pow.f64 a 4)
(pow.f64 b 4)
(*.f64 (pow.f64 a 3) (+.f64 -4 a))
(-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1)
(-.f64 (+.f64 (.f64 (+.f64 a -4) (pow.f64 a 3)) (.f64 (*.f64 a a) 4)) 1)

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

Calls

4 calls:

31.0ms	b
29.0ms	a
11.0ms	(*.f64 b b)
11.0ms	(*.f64 b b)

Results

Error	Segments	Branch
1.3b	3	`a`
1.0b	3	`b`
1.1b	2	`(*.f64 b b)`
1.1b	2	`(*.f64 b b)`

Compiler

Compiled 314 to 190 computations (39.5% saved)

bsearch65.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
29.0ms	0.0002793985891832131	0.008192864934203455
35.0ms	-1.0211893344945603e-8	-1.2687188741606476e-17

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes89.0ms (1.1%)

Counts

20 → 3

Calls

Call 1

Inputs
(-.f64 (.f64 b (.f64 12 b)) 1)
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 4 (.f64 a a)) 1)
(-.f64 (.f64 (.f64 a a) (*.f64 a a)) 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 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
(-.f64 (+.f64 (.f64 4 (.f64 a a)) (.f64 a (.f64 b (*.f64 b 4)))) 1)
(-.f64 (+.f64 (.f64 4 (.f64 a a)) (.f64 (.f64 a a) (.f64 2 (.f64 b b)))) 1)
(-.f64 (+.f64 (.f64 4 (.f64 a a)) (.f64 b (.f64 b (.f64 a (.f64 a 2))))) 1)
(-.f64 (+.f64 (.f64 4 (.f64 a a)) (.f64 a (.f64 b (.f64 2 (.f64 a b))))) 1)
(-.f64 (+.f64 (.f64 4 (.f64 a a)) (.f64 b (.f64 b (.f64 a (+.f64 4 (.f64 2 a)))))) 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 (+.f64 (.f64 4 (.f64 a a)) (.f64 b (/.f64 (.f64 (.f64 b a) (-.f64 16 (.f64 4 (.f64 a a)))) (+.f64 4 (.f64 -2 a))))) 1)
(-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (/.f64 (.f64 (.f64 b a) (-.f64 16 (.f64 4 (.f64 a a)))) (+.f64 4 (*.f64 -2 a))))) 1)
(pow.f64 a 4)
(pow.f64 b 4)
(*.f64 (pow.f64 a 3) (+.f64 -4 a))
(-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1)

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

Calls

4 calls:

30.0ms	b
30.0ms	a
11.0ms	(*.f64 b b)
11.0ms	(*.f64 b b)

Results

Error	Segments	Branch
1.3b	3	`a`
1.1b	3	`b`
1.1b	2	`(*.f64 b b)`
1.1b	2	`(*.f64 b b)`

Compiler

Compiled 299 to 180 computations (39.8% saved)

bsearch60.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
30.0ms	0.0002793985891832131	0.008192864934203455
30.0ms	-1.0211893344945603e-8	-1.2687188741606476e-17

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes65.0ms (0.8%)

Counts

19 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Error	Segments	Branch
11.2b	1	`a`
1.8b	3	`b`
1.8b	2	`(*.f64 b b)`
1.8b	2	`(*.f64 b b)`

Compiler

Compiled 289 to 175 computations (39.4% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.002112125099426898	26449.068361554913

Compiler

Compiled 34 to 23 computations (32.4% saved)

regimes38.0ms (0.5%)

Counts

17 → 1

Calls

Call 1

Inputs
(-.f64 (.f64 b (.f64 12 b)) 1)
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 4 (.f64 a a)) 1)
(-.f64 (.f64 (.f64 a a) (*.f64 a a)) 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 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
(-.f64 (+.f64 (.f64 4 (.f64 a a)) (.f64 a (.f64 b (*.f64 b 4)))) 1)
(-.f64 (+.f64 (.f64 4 (.f64 a a)) (.f64 (.f64 a a) (.f64 2 (.f64 b b)))) 1)
(-.f64 (+.f64 (.f64 4 (.f64 a a)) (.f64 b (.f64 b (.f64 a (.f64 a 2))))) 1)
(-.f64 (+.f64 (.f64 4 (.f64 a a)) (.f64 a (.f64 b (.f64 2 (.f64 a b))))) 1)
(-.f64 (+.f64 (.f64 4 (.f64 a a)) (.f64 b (.f64 b (.f64 a (+.f64 4 (.f64 2 a)))))) 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 (+.f64 (.f64 4 (.f64 a a)) (.f64 b (/.f64 (.f64 (.f64 b a) (-.f64 16 (.f64 4 (.f64 a a)))) (+.f64 4 (.f64 -2 a))))) 1)
(-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (/.f64 (.f64 (.f64 b a) (-.f64 16 (.f64 4 (.f64 a a)))) (+.f64 4 (*.f64 -2 a))))) 1)
(pow.f64 a 4)

Outputs
(-.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)

Calls

4 calls:

10.0ms	b
10.0ms	a
6.0ms	(*.f64 b b)
5.0ms	(*.f64 b b)

Results

Error	Segments	Branch
11.2b	1	`a`
11.2b	1	`b`
11.2b	1	`(*.f64 b b)`
11.2b	1	`(*.f64 b b)`

Compiler

Compiled 279 to 168 computations (39.8% saved)

regimes30.0ms (0.4%)

Counts

13 → 1

Calls

Call 1

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

Calls

4 calls:

8.0ms	b
7.0ms	a
5.0ms	(*.f64 b b)
4.0ms	(*.f64 b b)

Results

Error	Segments	Branch
11.2b	1	`a`
11.2b	1	`b`
11.2b	1	`(*.f64 b b)`
11.2b	1	`(*.f64 b b)`

Compiler

Compiled 191 to 113 computations (40.8% saved)

regimes24.0ms (0.3%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	b
7.0ms	a
5.0ms	(*.f64 b b)

Results

Error	Segments	Branch
11.3b	1	`a`
11.3b	1	`b`
11.3b	1	`(*.f64 b b)`

Compiler

Compiled 163 to 96 computations (41.1% saved)

regimes16.0ms (0.2%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Error	Segments	Branch
13.2b	1	`a`
13.2b	1	`b`
13.2b	1	`(*.f64 b b)`

Compiler

Compiled 65 to 39 computations (40% saved)

regimes13.0ms (0.2%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Error	Segments	Branch
13.6b	1	`a`
13.6b	1	`b`
13.6b	1	`(*.f64 b b)`

Compiler

Compiled 54 to 34 computations (37% saved)

regimes14.0ms (0.2%)

Accuracy

Total -0.9b remaining (-4.7%)

Threshold costs -0.9b (-4.7%)

Counts

3 → 1

Calls

Call 1

Inputs
(-.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:

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

Results

Error	Segments	Branch
20.2b	1	`a`
20.2b	1	`b`
20.2b	1	`(*.f64 b b)`
20.2b	1	`(*.f64 b b)`

Compiler

Compiled 39 to 27 computations (30.8% saved)

simplify20.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	415
1	133	415
2	149	415
3	153	415
4	155	415

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 (.f64 b b) 944473296573929/9444732965739290427392) (-.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 (.f64 b b) (fma.f64 b b 12)) 1))
(if (<=.f64 b -3086355382963885/302231454903657293676544) (-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1) (if (<=.f64 b 5153994269218246/18446744073709551616) (-.f64 (+.f64 (.f64 (+.f64 a -4) (pow.f64 a 3)) (.f64 (.f64 a a) 4)) 1) (-.f64 (.f64 (*.f64 b b) (fma.f64 b b 12)) 1)))
(if (<=.f64 b -3086355382963885/302231454903657293676544) (-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1) (if (<=.f64 b 5153994269218246/18446744073709551616) (-.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) 1) (-.f64 (.f64 (*.f64 b b) (fma.f64 b b 12)) 1)))
(if (<=.f64 (.f64 b b) 73786976294838208/18446744073709551616) (-.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) 1) (pow.f64 b 4))
(-.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 (+.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 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)
(-.f64 (.f64 (.f64 a a) (*.f64 a a)) 1)
(-.f64 (.f64 b (.f64 12 b)) 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 (.f64 b b) 944473296573929/9444732965739290427392) (-.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 (.f64 b b) (fma.f64 b b 12)) 1))
(if (<=.f64 (.f64 b b) 944473296573929/9444732965739290427392) (+.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 (.f64 b b) (fma.f64 b b 12)) -1))
(if (<=.f64 (.f64 b b) 944473296573929/9444732965739290427392) (+.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 (.f64 b b) (fma.f64 b b 12))))
(if (<=.f64 b -3086355382963885/302231454903657293676544) (-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1) (if (<=.f64 b 5153994269218246/18446744073709551616) (-.f64 (+.f64 (.f64 (+.f64 a -4) (pow.f64 a 3)) (.f64 (.f64 a a) 4)) 1) (-.f64 (.f64 (*.f64 b b) (fma.f64 b b 12)) 1)))
(if (<=.f64 b -3086355382963885/302231454903657293676544) (+.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) -1) (if (<=.f64 b 2576997134609123/9223372036854775808) (+.f64 (+.f64 (.f64 (pow.f64 a 3) (+.f64 a -4)) (.f64 4 (.f64 a a))) -1) (+.f64 (.f64 (*.f64 b b) (fma.f64 b b 12)) -1)))
(if (<=.f64 b -3086355382963885/302231454903657293676544) (+.f64 -1 (.f64 (.f64 b b) (fma.f64 b b 12))) (if (<=.f64 b 2576997134609123/9223372036854775808) (+.f64 -1 (+.f64 (.f64 (pow.f64 a 3) (+.f64 a -4)) (.f64 4 (.f64 a a)))) (+.f64 -1 (.f64 (*.f64 b b) (fma.f64 b b 12)))))
(if (<=.f64 b -3086355382963885/302231454903657293676544) (-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1) (if (<=.f64 b 5153994269218246/18446744073709551616) (-.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) 1) (-.f64 (.f64 (*.f64 b b) (fma.f64 b b 12)) 1)))
(if (<=.f64 b -3086355382963885/302231454903657293676544) (+.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) -1) (if (<=.f64 b 2576997134609123/9223372036854775808) (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) -1) (+.f64 (.f64 (*.f64 b b) (fma.f64 b b 12)) -1)))
(if (<=.f64 b -3086355382963885/302231454903657293676544) (+.f64 -1 (.f64 (.f64 b b) (fma.f64 b b 12))) (if (<=.f64 b 2576997134609123/9223372036854775808) (+.f64 -1 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4))))) (+.f64 -1 (.f64 (*.f64 b b) (fma.f64 b b 12)))))
(if (<=.f64 (.f64 b b) 73786976294838208/18446744073709551616) (-.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) 1) (pow.f64 b 4))
(if (<=.f64 (.f64 b b) 1152921504606847/288230376151711744) (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) -1) (pow.f64 b 4))
(if (<=.f64 (.f64 b b) 1152921504606847/288230376151711744) (+.f64 -1 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4))))) (pow.f64 b 4))
(-.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 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 b (.f64 a (+.f64 4 (*.f64 a 2)))))) -1)
(+.f64 -1 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 b (.f64 a (+.f64 4 (*.f64 a 2)))))))
(-.f64 (+.f64 (.f64 (.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 a 2))))) -1)
(+.f64 -1 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 b (.f64 a (*.f64 a 2))))))
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
(+.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) -1)
(+.f64 -1 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))))
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)
(+.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) -1)
(+.f64 -1 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))))
(-.f64 (.f64 (.f64 a a) (*.f64 a a)) 1)
(+.f64 (.f64 (.f64 a a) (*.f64 a a)) -1)
(+.f64 -1 (.f64 (.f64 a 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)))

Compiler

Compiled 309 to 205 computations (33.7% saved)

soundness105.0ms (1.3%)

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)

end131.0ms (1.6%)

Compiler: Compiled 287 to 169 computations (41.1% saved)