Details

analyze355.0ms (4%)

Algorithm

1×

Search

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

Compiler

Compiled 32 to 20 computations (37.5% saved)

sample1.9s (21.1%)

Results

1.6s	8256×	body	256	valid
261.0ms	1021×	body	256	invalid

preprocess70.0ms (0.8%)

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)

simplify44.0ms (0.5%)

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)

localize35.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

series21.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
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	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	a	@	0	(pow.f64 (hypot.f64 a b) 4)
2.0ms	b	@	inf	(pow.f64 (hypot.f64 a b) 4)
2.0ms	a	@	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))

rewrite118.0ms (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	61
1	365	61
2	4863	61

Stop Event

1×	node limit

Counts

4 → 155

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))
(pow.f64 (hypot.f64 a b) 4)

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

simplify207.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

592×	`associate-l_binary64`
578×	`+-commutative_binary64`
551×	`associate-r_binary64`
343×	`unswap-sqr_binary64`
333×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	174	1949
1	589	1837
2	2148	1737
3	6946	1729

Stop Event

1×	node limit

Counts

251 → 219

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

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

localize61.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

series144.0ms (1.6%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
135.0ms	a	@	inf	(.f64 (.f64 b b) (+.f64 3 a))
1.0ms	b	@	0	(.f64 (.f64 b b) (+.f64 3 a))
1.0ms	b	@	inf	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
1.0ms	b	@	0	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
1.0ms	a	@	-inf	(.f64 (.f64 b b) (+.f64 3 a))

rewrite124.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	67
1	420	63
2	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
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 b b) (pow.f64 (hypot.f64 b a) 2)) (.f64 (.f64 a a) (pow.f64 (hypot.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 a a) (pow.f64 (hypot.f64 b a) 2)) (.f64 (.f64 b b) (pow.f64 (hypot.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 (hypot.f64 b a) 2) (.f64 b b)) (.f64 (pow.f64 (hypot.f64 b a) 2) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 (hypot.f64 b a) 2) (.f64 a a)) (.f64 (pow.f64 (hypot.f64 b a) 2) (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (hypot.f64 b a) 2) (pow.f64 (hypot.f64 b a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 b a) 2)) 2) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 b a) 2)) 2) (.f64 (cbrt.f64 (pow.f64 (hypot.f64 b a) 2)) (pow.f64 (hypot.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 b a) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 b a) (.f64 (hypot.f64 b a) (pow.f64 (hypot.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (hypot.f64 b a) 2) (hypot.f64 b a)) (hypot.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (hypot.f64 b a) 2) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 b a) 2)) 2)) (cbrt.f64 (pow.f64 (hypot.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4)) (-.f64 (pow.f64 a 4) (pow.f64 b 4))) (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (.f64 (+.f64 a b) (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 a 6) (pow.f64 b 6)) (+.f64 (pow.f64 a 6) (pow.f64 b 6))) (.f64 (-.f64 (+.f64 (pow.f64 a 4) (pow.f64 b 4)) (pow.f64 (.f64 a b) 2)) (-.f64 (+.f64 (pow.f64 a 4) (pow.f64 b 4)) (pow.f64 (.f64 a b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4)) (+.f64 (pow.f64 a 6) (pow.f64 b 6))) (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (-.f64 (+.f64 (pow.f64 a 4) (pow.f64 b 4)) (pow.f64 (.f64 a b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 a 6) (pow.f64 b 6)) (-.f64 (pow.f64 a 4) (pow.f64 b 4))) (.f64 (-.f64 (+.f64 (pow.f64 a 4) (pow.f64 b 4)) (pow.f64 (.f64 a b) 2)) (.f64 (+.f64 a b) (-.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 a 6) (pow.f64 b 6)) (pow.f64 (hypot.f64 b a) 2)) (-.f64 (+.f64 (pow.f64 a 4) (pow.f64 b 4)) (pow.f64 (.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4)) (pow.f64 (hypot.f64 b a) 2)) (.f64 (+.f64 a b) (-.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (hypot.f64 b a) 2) (+.f64 (pow.f64 a 6) (pow.f64 b 6))) (-.f64 (+.f64 (pow.f64 a 4) (pow.f64 b 4)) (pow.f64 (.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (hypot.f64 b a) 2) (-.f64 (pow.f64 a 4) (pow.f64 b 4))) (.f64 (+.f64 a b) (-.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a a) (.f64 (neg.f64 a) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a a) (.f64 (.f64 a a) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 a (.f64 a (-.f64 1 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (pow.f64 a 3)) (.f64 a a)) (+.f64 1 (fma.f64 a a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (.f64 a a)) (.f64 a a)) (+.f64 a 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 a a) (-.f64 1 (pow.f64 a 3))) (+.f64 1 (fma.f64 a a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 a a) (-.f64 1 (.f64 a a))) (+.f64 a 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a (.f64 a (-.f64 1 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 a (.f64 a (-.f64 1 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a (sqrt.f64 (-.f64 1 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (-.f64 1 a) 3) (pow.f64 a 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 a 4) (pow.f64 (-.f64 1 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 a) a) (-.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 a (.f64 a (-.f64 1 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (-.f64 1 a) 3) (pow.f64 a 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 a (.f64 a (-.f64 1 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 a (.f64 a (-.f64 1 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 a (.f64 a (-.f64 1 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 a (*.f64 a (-.f64 1 a)))) 1))))))
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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))))))

simplify228.0ms (2.6%)

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)))))

eval421.0ms (4.8%)

Compiler: Compiled 12343 to 7447 computations (39.7% saved)

prune65.0ms (0.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	365	9	374
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	367	9	376

Error

Counts

376 → 9

Alt Table

Click to see full alt table

Status	Error	Program
	52.7b	(pow.f64 b 4)
▶	54.2b	(pow.f64 a 4)
▶	8.9b	(-.f64 (+.f64 (pow.f64 b 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
▶	10.5b	(+.f64 (sqrt.f64 (pow.f64 (hypot.f64 b a) 8)) (fma.f64 4 (-.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)) (pow.f64 a 3)) -1))
▶	9.4b	(-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1)
	13.3b	(cbrt.f64 (pow.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)) 3))
▶	11.0b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
	10.9b	(-.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)
	9.9b	(-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)

Compiler

Compiled 336 to 240 computations (28.6% saved)

localize37.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
✓	0.0b	(+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 3 a)))
	0.0b	(.f64 (.f64 a a) (-.f64 1 a))
	0.4b	(.f64 (.f64 b b) (+.f64 3 a))

Compiler

Compiled 112 to 61 computations (45.5% saved)

series7.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	b	@	-inf	(+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 3 a)))
1.0ms	b	@	inf	(+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 3 a)))
0.0ms	a	@	0	(+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 3 a)))
0.0ms	b	@	inf	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
0.0ms	b	@	0	(+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 3 a)))

rewrite89.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

756×	`log-prod_binary64`
722×	`fma-def_binary64`
317×	`fma-neg_binary64`
266×	`expm1-udef_binary64`
265×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	43
1	318	43
2	4498	43

Stop Event

1×	node limit

Counts

2 → 135

Calls

Call 1

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

Outputs

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

simplify95.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

619×	`distribute-rgt-neg-in_binary64`
559×	`distribute-lft-neg-in_binary64`
471×	`associate-l_binary64`
467×	`fma-neg_binary64`
367×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	45	985
1	130	859
2	370	796
3	1235	781
4	3196	781
5	6044	781

Stop Event

1×	node limit

Counts

183 → 171

Calls

Call 1

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

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

localize32.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 48 to 30 computations (37.5% saved)

series10.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	a	@	0	(*.f64 a (+.f64 a -4))
1.0ms	a	@	0	(.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4))))
1.0ms	a	@	inf	(.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4))))
1.0ms	a	@	inf	(*.f64 a (+.f64 a -4))
1.0ms	a	@	-inf	(*.f64 a (+.f64 a -4))

rewrite106.0ms (1.2%)

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	33
1	212	29
2	2946	29

Stop Event

1×	node limit

Counts

3 → 172

Calls

Call 1

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

Outputs

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

simplify120.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	341
1	47	322
2	104	299
3	280	281
4	818	281
5	2816	281
6	3013	281
7	3275	281
8	4120	281
9	5834	281
10	6368	281

Stop Event

1×	node limit

Counts

208 → 191

Calls

Call 1

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

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

localize6.0ms (0.1%)

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

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(.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	@	-inf	(.f64 (.f64 b b) (fma.f64 b b 12))
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))

rewrite51.0ms (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))))))))

simplify185.0ms (2.1%)

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))

localize39.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 b (+.f64 a 3))
✓	0.0b	(+.f64 (sqrt.f64 (pow.f64 (hypot.f64 b a) 8)) (fma.f64 4 (-.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)) (pow.f64 a 3)) -1))
	0.1b	(fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a))
✓	20.0b	(sqrt.f64 (pow.f64 (hypot.f64 b a) 8))

Compiler

Compiled 101 to 55 computations (45.5% saved)

series6.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	b	@	-inf	(+.f64 (sqrt.f64 (pow.f64 (hypot.f64 b a) 8)) (fma.f64 4 (-.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)) (pow.f64 a 3)) -1))
1.0ms	b	@	0	(sqrt.f64 (pow.f64 (hypot.f64 b a) 8))
0.0ms	b	@	inf	(sqrt.f64 (pow.f64 (hypot.f64 b a) 8))
0.0ms	a	@	0	(sqrt.f64 (pow.f64 (hypot.f64 b a) 8))
0.0ms	a	@	inf	(sqrt.f64 (pow.f64 (hypot.f64 b a) 8))

rewrite87.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

693×	`fma-def_binary64`
389×	`fma-neg_binary64`
325×	`expm1-udef_binary64`
325×	`log1p-udef_binary64`
271×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	40
1	404	40
2	5215	40

Stop Event

1×	node limit

Counts

2 → 84

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 b a) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 b a) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (hypot.f64 b a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 b a) 2) (pow.f64 (hypot.f64 b a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 b a) 4)) (cbrt.f64 (pow.f64 (hypot.f64 b a) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 b a) 8)) (cbrt.f64 (pow.f64 (hypot.f64 b a) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 b a) 16))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 b a) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 b a)) 2) 4) (pow.f64 (cbrt.f64 (hypot.f64 b a)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (hypot.f64 b a)) 4) (pow.f64 (sqrt.f64 (hypot.f64 b a)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (pow.f64 (hypot.f64 b a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 b a) 16)) 1/2) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 b a) 8)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b a) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 b a) 8) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 b a) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 b a) 4)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 b a) 12) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (hypot.f64 b a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (hypot.f64 b a) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 b a) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 b a) 12))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 b a) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 b a) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 4 (log.f64 (hypot.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 b a)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 8 (log.f64 (hypot.f64 b a))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 4 (log.f64 (hypot.f64 b a))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (pow.f64 (hypot.f64 b a) 4) (fma.f64 4 (-.f64 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.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 (-.f64 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)) (pow.f64 a 3)) -1))) (/.f64 (pow.f64 (fma.f64 4 (-.f64 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)) (pow.f64 a 3)) -1) 2) (-.f64 (pow.f64 (hypot.f64 b a) 4) (fma.f64 4 (-.f64 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.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 (-.f64 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.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 (-.f64 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.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 (-.f64 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)) (pow.f64 a 3)) -1))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 b a) 4) (fma.f64 4 (-.f64 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.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 (-.f64 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)) (pow.f64 a 3)) -1))) 2) (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 b a) 4) (fma.f64 4 (-.f64 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)) (pow.f64 a 3)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (pow.f64 (hypot.f64 b a) 4) (fma.f64 4 (-.f64 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)) (pow.f64 a 3)) -1))) (sqrt.f64 (+.f64 (pow.f64 (hypot.f64 b a) 4) (fma.f64 4 (-.f64 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)) (pow.f64 a 3)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (hypot.f64 b a) 12) (pow.f64 (fma.f64 4 (-.f64 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)) (pow.f64 a 3)) -1) 3)) (/.f64 1 (fma.f64 (fma.f64 4 (-.f64 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)) (pow.f64 a 3)) -1) (-.f64 (fma.f64 4 (-.f64 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)) (pow.f64 a 3)) -1) (pow.f64 (hypot.f64 b a) 4)) (pow.f64 (hypot.f64 b a) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (hypot.f64 b a) 8) (pow.f64 (fma.f64 4 (-.f64 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)) (pow.f64 a 3)) -1) 2)) (/.f64 1 (-.f64 (pow.f64 (hypot.f64 b a) 4) (fma.f64 4 (-.f64 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)) (pow.f64 a 3)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (fma.f64 4 (-.f64 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)) (pow.f64 a 3)) -1) (-.f64 (fma.f64 4 (-.f64 (fma.f64 b (*.f64 b (+.f64 a 3)) (*.f64 a a)) (pow.f64 a 3)) -1) (pow.f64 (hypot.f64 b a) 4)) (pow.f64 (hypot.f64 b a) 8)) (+.f64 (pow.f64 (hypot.f64 b a) 12) (pow.f64 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simplify75.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

586×	`associate-l_binary64`
565×	`+-commutative_binary64`
547×	`associate-r_binary64`
344×	`unswap-sqr_binary64`
333×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	164	1509
1	559	1399
2	2095	1299
3	6889	1291

Stop Event

1×	node limit

Counts

132 → 130

Calls

Call 1

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

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

eval383.0ms (4.4%)

Compiler: Compiled 17471 to 11245 computations (35.6% saved)

prune104.0ms (1.2%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	657	9	666
Fresh	2	2	4
Picked	1	0	1
Done	1	3	4
Total	661	14	675

Error

Counts

675 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	19.1b	(-.f64 (.f64 12 (.f64 b b)) 1)
✓	54.2b	(pow.f64 a 4)
▶	52.7b	(pow.f64 b 4)
	15.8b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 3)) 1)
	12.1b	(-.f64 (.f64 (.f64 a a) (*.f64 a (+.f64 a -4))) 1)
✓	9.4b	(-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1)
	11.0b	(-.f64 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4))) 1)
▶	19.8b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a -4))) 1)
▶	12.3b	(-.f64 (.f64 (.f64 a a) (*.f64 a a)) 1)
	34.8b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (/.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))))))) 1)
✓	11.0b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
	10.9b	(-.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)
	19.7b	(-.f64 (.f64 (.f64 a a) 4) 1)
▶	9.3b	(-.f64 (+.f64 (pow.f64 b 4) (.f64 (.f64 b b) 12)) 1)

Compiler

Compiled 364 to 263 computations (27.7% saved)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 37 to 22 computations (40.5% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	b	@	0	(.f64 (.f64 b b) 12)
0.0ms	b	@	inf	(+.f64 (pow.f64 b 4) (.f64 (.f64 b b) 12))
0.0ms	b	@	inf	(.f64 (.f64 b b) 12)
0.0ms	b	@	-inf	(+.f64 (pow.f64 b 4) (.f64 (.f64 b b) 12))
0.0ms	b	@	0	(+.f64 (pow.f64 b 4) (.f64 (.f64 b b) 12))

rewrite71.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

824×	`pow1_binary64`
776×	`add-log-exp_binary64`
776×	`log1p-expm1-u_binary64`
776×	`expm1-log1p-u_binary64`
759×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	177	18
2	2213	18

Stop Event

1×	node limit

Counts

2 → 49

Calls

Call 1

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

Outputs

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

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

simplify189.0ms (2.1%)

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	198
1	19	198
2	41	198
3	100	198
4	270	198
5	925	198
6	1856	198
7	2150	198
8	2335	198
9	2536	198
10	2810	198
11	3172	198
12	3623	198
13	4161	198
14	4793	198
15	5542	198
16	5855	198
17	6077	198
18	6273	198
19	6327	198
20	6349	198
21	7183	198

Stop Event

1×	node limit

Counts

73 → 54

Calls

Call 1

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 11 computations (45% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite60.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	149	15
2	1768	15

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

Outputs

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

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

simplify167.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	171
1	19	171
2	30	171
3	55	171
4	119	171
5	350	171
6	1288	171
7	2182	171
8	2345	171
9	2529	171
10	2737	171
11	3037	171
12	3430	171
13	3915	171
14	4483	171
15	5171	171
16	6008	171
17	6400	171
18	6686	171
19	6962	171
20	7032	171
21	7066	171

Stop Event

1×	node limit

Counts

70 → 50

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 a a) (*.f64 a a))

Compiler

Compiled 23 to 7 computations (69.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite45.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

328×	`pow1_binary64`
312×	`add-sqr-sqrt_binary64`
306×	`*-un-lft-identity_binary64`
304×	`add-log-exp_binary64`
304×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	4	7
1	81	4
2	969	4

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

Outputs

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

simplify190.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1319×	`sqr-pow_binary64`
662×	`cube-prod_binary64`
659×	`pow-sqr_binary64`
522×	`fabs-mul_binary64`
384×	`unpow3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	48
1	8	48
2	14	48
3	25	48
4	50	48
5	137	48
6	489	48
7	1141	48
8	1265	48
9	1434	48
10	1633	48
11	1904	48
12	2261	48
13	2710	48
14	3241	48
15	3873	48
16	4624	48
17	4934	48
18	5162	48
19	5358	48
20	5410	48
21	5432	48
22	6266	48
23	7179	48
24	7581	48
25	7845	48

Stop Event

1×	node limit

Counts

44 → 32

Calls

Call 1

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

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

localize14.0ms (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)))

rewrite61.0ms (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)))))))

simplify171.0ms (1.9%)

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)))

localize3.0ms (0%)

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

eval53.0ms (0.6%)

Compiler: Compiled 2163 to 1560 computations (27.9% saved)

prune33.0ms (0.4%)

Pruning

15 alts after pruning (7 fresh and 8 done)

	Pruned	Kept	Total
New	162	3	165
Fresh	2	4	6
Picked	0	1	1
Done	0	7	7
Total	164	15	179

Error

Counts

179 → 15

Alt Table

Click to see full alt table

Status	Error	Program
▶	17.4b	(-.f64 (sqrt.f64 (pow.f64 a 8)) 1)
✓	9.4b	(-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1)
✓	19.1b	(-.f64 (.f64 12 (.f64 b b)) 1)
✓	54.2b	(pow.f64 a 4)
✓	52.7b	(pow.f64 b 4)
	15.8b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 3)) 1)
▶	12.1b	(-.f64 (.f64 (.f64 a a) (*.f64 a (+.f64 a -4))) 1)
▶	11.0b	(-.f64 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4))) 1)
✓	19.8b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a -4))) 1)
	20.3b	-1
✓	12.3b	(-.f64 (.f64 (.f64 a a) (*.f64 a a)) 1)
✓	11.0b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
▶	9.4b	(-.f64 (.f64 (.f64 b b) (+.f64 (*.f64 b b) 12)) 1)
▶	19.7b	(-.f64 (.f64 (.f64 a a) 4) 1)
✓	9.3b	(-.f64 (+.f64 (pow.f64 b 4) (.f64 (.f64 b b) 12)) 1)

Compiler

Compiled 230 to 167 computations (27.4% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 b b) 12)
✓	0.3b	(.f64 (.f64 b b) (+.f64 (*.f64 b b) 12))

Compiler

Compiled 33 to 15 computations (54.5% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite58.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

686×	`pow1_binary64`
646×	`add-log-exp_binary64`
646×	`log1p-expm1-u_binary64`
646×	`expm1-log1p-u_binary64`
633×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
1	137	16
2	1787	16

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

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

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

simplify185.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	186
1	21	168
2	42	168
3	97	168
4	281	168
5	935	168
6	1873	168
7	2167	168
8	2352	168
9	2553	168
10	2829	168
11	3191	168
12	3647	168
13	4183	168
14	4811	168
15	5560	168
16	5873	168
17	6097	168
18	6291	168
19	6345	168
20	6367	168
21	7201	168

Stop Event

1×	node limit

Counts

77 → 62

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 11 computations (45% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite54.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	149	15
2	1746	15

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

Outputs

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

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

simplify186.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

70 → 50

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 36 to 20 computations (44.4% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	a	@	inf	(.f64 (.f64 a a) (*.f64 a (+.f64 a -4)))
1.0ms	a	@	0	(.f64 (.f64 a a) (*.f64 a (+.f64 a -4)))
0.0ms	a	@	-inf	(.f64 (.f64 a a) (*.f64 a (+.f64 a -4)))

rewrite52.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

795×	`pow1_binary64`
744×	`add-log-exp_binary64`
744×	`log1p-expm1-u_binary64`
744×	`expm1-log1p-u_binary64`
729×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	157	10
2	2093	10

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify175.0ms (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

33 → 24

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))

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 45 to 30 computations (33.3% saved)

series5.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite67.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 51

Calls

Call 1

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

Outputs

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

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

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

simplify132.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

87 → 78

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	12.6b	(sqrt.f64 (pow.f64 a 8))

Compiler

Compiled 18 to 14 computations (22.2% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	a	@	0	(sqrt.f64 (pow.f64 a 8))
0.0ms	a	@	inf	(sqrt.f64 (pow.f64 a 8))
0.0ms	a	@	-inf	(sqrt.f64 (pow.f64 a 8))

rewrite45.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

405×	`pow1_binary64`
392×	`add-sqr-sqrt_binary64`
381×	`*-un-lft-identity_binary64`
381×	`add-log-exp_binary64`
381×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	4
1	105	4
2	1131	4

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

Inputs
(sqrt.f64 (pow.f64 a 8))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 a 4))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 a 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 a 4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 a 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 a 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (pow.f64 (*.f64 (*.f64 a a) (pow.f64 a 4)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (pow.f64 (*.f64 (sqrt.f64 a) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a 4) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a a) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a 3) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a) 8) (pow.f64 (cbrt.f64 a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 a 16))) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 a) 8) (pow.f64 a 4)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a) 4) (pow.f64 (cbrt.f64 a) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a) 4) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 a) 4) (pow.f64 a 4)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a) 4) (pow.f64 (*.f64 (cbrt.f64 a) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 a) 4) (pow.f64 (sqrt.f64 a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (pow.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (sqrt.f64 a) 8) 1/2) (pow.f64 (pow.f64 (sqrt.f64 a) 8) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 a a) 3) 1/2) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 a 4) (pow.f64 (cbrt.f64 a) 8)) 1/2) (pow.f64 (cbrt.f64 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 a 12)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 a 12)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 a 8) (pow.f64 (cbrt.f64 a) 8)) 1/3) (cbrt.f64 (pow.f64 (cbrt.f64 a) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 a 8) (*.f64 a a)) 1/3) (pow.f64 (cbrt.f64 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a (pow.f64 (cbrt.f64 a) 2)) 2) (pow.f64 (cbrt.f64 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 a) 4)) 2) 3) (pow.f64 (cbrt.f64 a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 a 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 a 8) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 a 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 a 12) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a a) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 a) 4) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 a) 4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 a 12))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 a) 4))))))

simplify190.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1319×	`sqr-pow_binary64`
662×	`cube-prod_binary64`
659×	`pow-sqr_binary64`
522×	`fabs-mul_binary64`
384×	`unpow3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	48
1	8	48
2	14	48
3	25	48
4	50	48
5	137	48
6	489	48
7	1141	48
8	1265	48
9	1434	48
10	1633	48
11	1904	48
12	2261	48
13	2710	48
14	3241	48
15	3873	48
16	4624	48
17	4934	48
18	5162	48
19	5358	48
20	5410	48
21	5432	48
22	6266	48
23	7179	48
24	7581	48
25	7845	48

Stop Event

1×	node limit

Counts

52 → 40

Calls

Call 1

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

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

eval92.0ms (1%)

Compiler: Compiled 4254 to 2859 computations (32.8% saved)

prune52.0ms (0.6%)

Pruning

17 alts after pruning (6 fresh and 11 done)

	Pruned	Kept	Total
New	307	6	313
Fresh	2	0	2
Picked	0	1	1
Done	2	10	12
Total	311	17	328

Error

Counts

328 → 17

Alt Table

Click to see full alt table

Status	Error	Program
✓	17.4b	(-.f64 (sqrt.f64 (pow.f64 a 8)) 1)
✓	9.4b	(-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1)
✓	19.1b	(-.f64 (.f64 12 (.f64 b b)) 1)
✓	54.2b	(pow.f64 a 4)
✓	52.7b	(pow.f64 b 4)
	9.3b	(-.f64 (*.f64 b (fma.f64 12 b (pow.f64 b 3))) 1)
✓	12.3b	(-.f64 (.f64 (.f64 a a) (*.f64 a a)) 1)
✓	9.3b	(-.f64 (+.f64 (pow.f64 b 4) (.f64 (.f64 b b) 12)) 1)
	12.2b	(-.f64 (.f64 a (.f64 a (*.f64 a a))) 1)
	10.7b	(-.f64 (.f64 (.f64 b b) (*.f64 b b)) 1)
✓	19.8b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a -4))) 1)
✓	12.1b	(-.f64 (.f64 (.f64 a a) (*.f64 a (+.f64 a -4))) 1)
	20.1b	(-.f64 (.f64 (.f64 a a) (*.f64 a -4)) 1)
	20.3b	-1
✓	9.4b	(-.f64 (.f64 (.f64 b b) (+.f64 (*.f64 b b) 12)) 1)
	11.0b	(-.f64 (.f64 a (.f64 a (+.f64 (*.f64 a (+.f64 a -4)) 4))) 1)
✓	19.7b	(-.f64 (.f64 (.f64 a a) 4) 1)

Compiler

Compiled 174 to 124 computations (28.7% saved)

regimes87.0ms (1%)

Counts

29 → 1

Calls

Call 1

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

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

Calls

8 calls:

14.0ms	a
13.0ms	b
12.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
10.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
8.0ms	(*.f64 b b)

Results

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

Compiler

Compiled 525 to 317 computations (39.6% saved)

regimes58.0ms (0.7%)

Counts

26 → 1

Calls

Call 1

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

13.0ms	b
12.0ms	a
10.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
8.0ms	(*.f64 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 387 to 234 computations (39.5% saved)

regimes96.0ms (1.1%)

Counts

21 → 2

Calls

Call 1

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

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

Calls

4 calls:

40.0ms	b
27.0ms	a
11.0ms	(*.f64 b b)
11.0ms	(*.f64 b b)

Results

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

Compiler

Compiled 239 to 142 computations (40.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.2511672190480247e-21	3.0778142401266033e-17

Compiler

Compiled 34 to 23 computations (32.4% saved)

regimes86.0ms (1%)

Counts

20 → 2

Calls

Call 1

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

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

Calls

4 calls:

35.0ms	b
26.0ms	a
10.0ms	(*.f64 b b)
10.0ms	(*.f64 b b)

Results

Error	Segments	Branch
0.9b	3	`a`
0.8b	3	`b`
0.8b	2	`(*.f64 b b)`
0.8b	2	`(*.f64 b b)`

Compiler

Compiled 216 to 128 computations (40.7% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.2511672190480247e-21	3.0778142401266033e-17

Compiler

Compiled 34 to 23 computations (32.4% saved)

regimes81.0ms (0.9%)

Counts

17 → 2

Calls

Call 1

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

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

Calls

4 calls:

31.0ms	b
26.0ms	a
9.0ms	(*.f64 b b)
9.0ms	(*.f64 b b)

Results

Error	Segments	Branch
1.1b	3	`a`
0.8b	3	`b`
0.8b	2	`(*.f64 b b)`
0.8b	2	`(*.f64 b b)`

Compiler

Compiled 170 to 99 computations (41.8% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.2511672190480247e-21	3.0778142401266033e-17

Compiler

Compiled 34 to 23 computations (32.4% saved)

regimes68.0ms (0.8%)

Counts

16 → 2

Calls

Call 1

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

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

Calls

3 calls:

31.0ms	b
23.0ms	a
9.0ms	(*.f64 b b)

Results

Error	Segments	Branch
1.1b	3	`a`
0.8b	3	`b`
0.8b	2	`(*.f64 b b)`

Compiler

Compiled 155 to 91 computations (41.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.2511672190480247e-21	3.0778142401266033e-17

Compiler

Compiled 34 to 23 computations (32.4% saved)

regimes53.0ms (0.6%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

3 calls:

24.0ms	b
19.0ms	a
8.0ms	(*.f64 b b)

Results

Error	Segments	Branch
1.6b	3	`a`
1.9b	3	`b`
1.9b	2	`(*.f64 b b)`

Compiler

Compiled 98 to 54 computations (44.9% saved)

bsearch57.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	1696.062241569314	15182.512260123063
28.0ms	-107329943908299550.0	-310384705418481.44

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes48.0ms (0.5%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

3 calls:

22.0ms	b
17.0ms	a
7.0ms	(*.f64 b b)

Results

Error	Segments	Branch
1.7b	3	`a`
2.1b	3	`b`
2.1b	2	`(*.f64 b b)`

Compiler

Compiled 76 to 41 computations (46.1% saved)

bsearch55.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
27.0ms	1696.062241569314	15182.512260123063
28.0ms	-107329943908299550.0	-310384705418481.44

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes40.0ms (0.5%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

3 calls:

16.0ms	a
15.0ms	b
6.0ms	(*.f64 b b)

Results

Error	Segments	Branch
3.1b	3	`a`
3.4b	3	`b`
3.4b	2	`(*.f64 b b)`

Compiler

Compiled 65 to 36 computations (44.6% saved)

bsearch56.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
27.0ms	1696.062241569314	15182.512260123063
29.0ms	-107329943908299550.0	-310384705418481.44

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes23.0ms (0.3%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

3 calls:

13.0ms	a
4.0ms	b
3.0ms	(*.f64 b b)

Results

Error	Segments	Branch
11.1b	3	`a`
12.2b	1	`b`
12.2b	1	`(*.f64 b b)`

Compiler

Compiled 38 to 25 computations (34.2% saved)

bsearch56.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
27.0ms	1696.062241569314	15182.512260123063
28.0ms	-1.3186905229579566	-1.3000392502533018e-11

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes13.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Error	Segments	Branch
19.1b	1	`a`
19.1b	1	`b`
19.1b	1	`(*.f64 b b)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes8.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
-1
-1

Outputs
-1

Calls

2 calls:

3.0ms	a
3.0ms	b

Results

Error	Segments	Branch
20.3b	1	`a`
20.3b	1	`b`

Compiler

Compiled 10 to 8 computations (20% saved)

simplify20.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

24×	`+-commutative_binary64`
15×	`*-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	80	486
1	121	486
2	137	486
3	141	486
4	143	486

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) 6646139978924579/1329227995784915872903807060280344576) (-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 3 a))))) 1) (-.f64 (+.f64 (pow.f64 b 4) (.f64 (.f64 b b) 12)) 1))
(if (<=.f64 (.f64 b b) 6646139978924579/1329227995784915872903807060280344576) (-.f64 (.f64 a (.f64 a (+.f64 (.f64 a (+.f64 a -4)) 4))) 1) (-.f64 (+.f64 (pow.f64 b 4) (.f64 (.f64 b b) 12)) 1))
(if (<=.f64 (.f64 b b) 6646139978924579/1329227995784915872903807060280344576) (-.f64 (.f64 a (.f64 a (+.f64 (.f64 a (+.f64 a -4)) 4))) 1) (-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1))
(if (<=.f64 (.f64 b b) 6646139978924579/1329227995784915872903807060280344576) (-.f64 (.f64 a (.f64 a (+.f64 (.f64 a (+.f64 a -4)) 4))) 1) (-.f64 (.f64 (.f64 b b) (+.f64 (*.f64 b b) 12)) 1))
(if (<=.f64 a -107329943908299552) (-.f64 (.f64 a (.f64 a (.f64 a a))) 1) (if (<=.f64 a 7459360624149151/4398046511104) (-.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) 12)) 1) (-.f64 (.f64 (.f64 a a) (*.f64 a (+.f64 a -4))) 1)))
(if (<=.f64 a -107329943908299552) (-.f64 (.f64 a (.f64 a (.f64 a a))) 1) (if (<=.f64 a 7459360624149151/4398046511104) (-.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) 12)) 1) (-.f64 (.f64 a (.f64 a (*.f64 a a))) 1)))
(if (<=.f64 a -107329943908299552) (-.f64 (.f64 a (.f64 a (.f64 a a))) 1) (if (<=.f64 a 7459360624149151/4398046511104) (-.f64 (.f64 (.f64 b b) (.f64 b b)) 1) (-.f64 (.f64 a (.f64 a (*.f64 a a))) 1)))
(if (<=.f64 a -2969427073905229/2251799813685248) (-.f64 (.f64 a (.f64 a (.f64 a a))) 1) (if (<=.f64 a 7459360624149151/4398046511104) (-.f64 (.f64 12 (.f64 b b)) 1) (-.f64 (.f64 a (.f64 a (.f64 a a))) 1)))
(-.f64 (.f64 12 (.f64 b b)) 1)
-1

Outputs
(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (-.f64 (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) 6646139978924579/1329227995784915872903807060280344576) (-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 3 a))))) 1) (-.f64 (+.f64 (pow.f64 b 4) (.f64 (.f64 b b) 12)) 1))
(if (<=.f64 (.f64 b b) 6646139978924579/1329227995784915872903807060280344576) (+.f64 (+.f64 (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (+.f64 a 3) (.f64 b b)))) (pow.f64 a 4)) -1) (+.f64 (+.f64 (pow.f64 b 4) (.f64 (.f64 b b) 12)) -1))
(if (<=.f64 (.f64 b b) 6646139978924579/1329227995784915872903807060280344576) (+.f64 -1 (+.f64 (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (+.f64 a 3) (.f64 b b)))) (pow.f64 a 4))) (+.f64 -1 (+.f64 (pow.f64 b 4) (.f64 (.f64 b b) 12))))
(if (<=.f64 (.f64 b b) 6646139978924579/1329227995784915872903807060280344576) (-.f64 (.f64 a (.f64 a (+.f64 (.f64 a (+.f64 a -4)) 4))) 1) (-.f64 (+.f64 (pow.f64 b 4) (.f64 (.f64 b b) 12)) 1))
(if (<=.f64 (.f64 b b) 6646139978924579/1329227995784915872903807060280344576) (+.f64 (.f64 a (.f64 a (+.f64 4 (.f64 a (+.f64 a -4))))) -1) (+.f64 (+.f64 (pow.f64 b 4) (.f64 (.f64 b b) 12)) -1))
(if (<=.f64 (.f64 b b) 6646139978924579/1329227995784915872903807060280344576) (+.f64 -1 (.f64 a (.f64 a (+.f64 4 (.f64 a (+.f64 a -4)))))) (+.f64 -1 (+.f64 (pow.f64 b 4) (.f64 (.f64 b b) 12))))
(if (<=.f64 (.f64 b b) 6646139978924579/1329227995784915872903807060280344576) (-.f64 (.f64 a (.f64 a (+.f64 (.f64 a (+.f64 a -4)) 4))) 1) (-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1))
(if (<=.f64 (.f64 b b) 6646139978924579/1329227995784915872903807060280344576) (+.f64 (.f64 a (.f64 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) 6646139978924579/1329227995784915872903807060280344576) (+.f64 -1 (.f64 a (.f64 a (+.f64 4 (.f64 a (+.f64 a -4)))))) (+.f64 -1 (.f64 (.f64 b b) (fma.f64 b b 12))))
(if (<=.f64 (.f64 b b) 6646139978924579/1329227995784915872903807060280344576) (-.f64 (.f64 a (.f64 a (+.f64 (.f64 a (+.f64 a -4)) 4))) 1) (-.f64 (.f64 (.f64 b b) (+.f64 (*.f64 b b) 12)) 1))
(if (<=.f64 (.f64 b b) 6646139978924579/1329227995784915872903807060280344576) (+.f64 (.f64 a (.f64 a (+.f64 4 (.f64 a (+.f64 a -4))))) -1) (+.f64 (.f64 (.f64 b b) (+.f64 (*.f64 b b) 12)) -1))
(if (<=.f64 (.f64 b b) 6646139978924579/1329227995784915872903807060280344576) (+.f64 -1 (.f64 a (.f64 a (+.f64 4 (.f64 a (+.f64 a -4)))))) (+.f64 -1 (.f64 (.f64 b b) (+.f64 (*.f64 b b) 12))))
(if (<=.f64 a -107329943908299552) (-.f64 (.f64 a (.f64 a (.f64 a a))) 1) (if (<=.f64 a 7459360624149151/4398046511104) (-.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) 12)) 1) (-.f64 (.f64 (.f64 a a) (*.f64 a (+.f64 a -4))) 1)))
(if (<=.f64 a -107329943908299552) (+.f64 (.f64 a (.f64 a (.f64 a a))) -1) (if (<=.f64 a 7459360624149151/4398046511104) (+.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) 12)) -1) (+.f64 (.f64 (.f64 a a) (*.f64 a (+.f64 a -4))) -1)))
(if (<=.f64 a -107329943908299552) (+.f64 -1 (.f64 a (.f64 a (.f64 a a)))) (if (<=.f64 a 7459360624149151/4398046511104) (+.f64 -1 (.f64 (.f64 b b) (+.f64 (.f64 b b) 12))) (+.f64 -1 (.f64 (.f64 a a) (*.f64 a (+.f64 a -4))))))
(if (<=.f64 a -107329943908299552) (-.f64 (.f64 a (.f64 a (.f64 a a))) 1) (if (<=.f64 a 7459360624149151/4398046511104) (-.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) 12)) 1) (-.f64 (.f64 a (.f64 a (*.f64 a a))) 1)))
(if (<=.f64 a -107329943908299552) (+.f64 (.f64 a (.f64 a (.f64 a a))) -1) (if (<=.f64 a 7459360624149151/4398046511104) (+.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) 12)) -1) (+.f64 (.f64 a (.f64 a (*.f64 a a))) -1)))
(if (<=.f64 a -107329943908299552) (+.f64 -1 (.f64 a (.f64 a (.f64 a a)))) (if (<=.f64 a 7459360624149151/4398046511104) (+.f64 -1 (.f64 (.f64 b b) (+.f64 (.f64 b b) 12))) (+.f64 -1 (.f64 a (.f64 a (*.f64 a a))))))
(if (<=.f64 a -107329943908299552) (-.f64 (.f64 a (.f64 a (.f64 a a))) 1) (if (<=.f64 a 7459360624149151/4398046511104) (-.f64 (.f64 (.f64 b b) (.f64 b b)) 1) (-.f64 (.f64 a (.f64 a (*.f64 a a))) 1)))
(if (<=.f64 a -107329943908299552) (+.f64 (.f64 a (.f64 a (.f64 a a))) -1) (if (<=.f64 a 7459360624149151/4398046511104) (+.f64 (.f64 (.f64 b b) (.f64 b b)) -1) (+.f64 (.f64 a (.f64 a (*.f64 a a))) -1)))
(if (<=.f64 a -107329943908299552) (+.f64 -1 (.f64 a (.f64 a (.f64 a a)))) (if (<=.f64 a 7459360624149151/4398046511104) (+.f64 -1 (.f64 (.f64 b b) (.f64 b b))) (+.f64 -1 (.f64 a (.f64 a (*.f64 a a))))))
(if (<=.f64 a -2969427073905229/2251799813685248) (-.f64 (.f64 a (.f64 a (.f64 a a))) 1) (if (<=.f64 a 7459360624149151/4398046511104) (-.f64 (.f64 12 (.f64 b b)) 1) (-.f64 (.f64 a (.f64 a (.f64 a a))) 1)))
(if (<=.f64 a -2969427073905229/2251799813685248) (+.f64 (.f64 a (.f64 a (.f64 a a))) -1) (if (<=.f64 a 7459360624149151/4398046511104) (+.f64 (.f64 (.f64 b b) 12) -1) (+.f64 (.f64 a (.f64 a (.f64 a a))) -1)))
(if (<=.f64 a -2969427073905229/2251799813685248) (+.f64 -1 (.f64 a (.f64 a (.f64 a a)))) (if (<=.f64 a 7459360624149151/4398046511104) (+.f64 -1 (.f64 (.f64 b b) 12)) (+.f64 -1 (.f64 a (.f64 a (.f64 a a))))))
(-.f64 (.f64 12 (.f64 b b)) 1)
(+.f64 (.f64 (.f64 b b) 12) -1)
(+.f64 -1 (.f64 (.f64 b b) 12))
-1

Compiler

Compiled 357 to 221 computations (38.1% saved)

soundness101.0ms (1.2%)

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)

end132.0ms (1.5%)

Compiler: Compiled 335 to 178 computations (46.9% saved)