Details

analyze159.0ms (1.4%)

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)

sample2.6s (22.8%)

Results

2.4s	8256×	body	256	valid
240.0ms	996×	body	256	invalid

preprocess85.0ms (0.7%)

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)

simplify65.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval2.0ms (0%)

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

prune4.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Status

Error

Program

▶

0.2b

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

▶

0.0b

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

Compiler

Compiled 56 to 36 computations (35.7% saved)

localize117.0ms (1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 93 to 50 computations (46.2% saved)

series48.0ms (0.4%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
25.0ms	a	@	inf	(*.f64 b (+.f64 a 3))
2.0ms	b	@	0	(fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a))
2.0ms	b	@	-inf	(fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a))
1.0ms	a	@	0	(hypot.f64 a b)
1.0ms	a	@	-inf	(*.f64 b (+.f64 a 3))

rewrite113.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

570×	`log-prod_binary64`
437×	`fma-def_binary64`
423×	`pow-prod-down_binary64`
320×	`pow2_binary64`
236×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	45
1	254	45
2	3434	45

Stop Event

1×	node limit

Counts

4 → 196

Calls

Call 1

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

Outputs
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(pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (hypot.f64 a (sqrt.f64 (.f64 b (.f64 b (+.f64 a 3))))) (pow.f64 a 3/2)) (-.f64 (hypot.f64 a (sqrt.f64 (.f64 b (.f64 b (+.f64 a 3))))) (pow.f64 a 3/2)) (+.f64 (neg.f64 (pow.f64 a 3)) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 b (.f64 b (+.f64 a 3)))) (sqrt.f64 (.f64 b (.f64 b (+.f64 a 3)))) (-.f64 (.f64 a a) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 b (pow.f64 (cbrt.f64 (.f64 b (+.f64 a 3))) 2)) (cbrt.f64 (.f64 b (+.f64 a 3))) (-.f64 (.f64 a a) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 b (sqrt.f64 (.f64 b (+.f64 a 3)))) (sqrt.f64 (.f64 b (+.f64 a 3))) (-.f64 (*.f64 a a) (pow.f64 a 3)))))))

simplify182.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

762×	`fma-neg_binary64`
754×	`associate-*l/_binary64`
612×	`associate-*r/_binary64`
393×	`fma-def_binary64`
369×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	87	1273
1	258	1265
2	735	1253
3	2808	1253
4	7495	1253

Stop Event

1×	node limit

Counts

292 → 255

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

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

localize218.0ms (1.9%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 138 to 63 computations (54.3% saved)

series11.0ms (0.1%)

Counts

4 → 84

Calls

21 calls:

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

rewrite101.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

854×	`fma-def_binary64`
779×	`log-prod_binary64`
384×	`fma-neg_binary64`
285×	`expm1-udef_binary64`
284×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	51
1	345	50
2	4870	50

Stop Event

1×	node limit

Counts

4 → 206

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 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 3 a)))

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

simplify113.0ms (1%)

Algorithm

1×	egg-herbie

Rules

651×	`distribute-rgt-neg-in_binary64`
585×	`distribute-lft-neg-in_binary64`
570×	`fma-def_binary64`
551×	`unswap-sqr_binary64`
486×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	1184
1	105	1104
2	269	1076
3	848	1076
4	3095	1076
5	6342	1076

Stop Event

1×	node limit

Counts

290 → 237

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 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)))

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

eval591.0ms (5.1%)

Compiler: Compiled 16300 to 9367 computations (42.5% saved)

prune71.0ms (0.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	489	3	492
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	491	3	494

Error

Counts

494 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	34.8b	(-.f64 (+.f64 (/.f64 (.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4)) (-.f64 (pow.f64 a 4) (pow.f64 b 4))) (.f64 (-.f64 (.f64 a a) (.f64 b b)) (-.f64 (.f64 a a) (.f64 b b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
▶	9.1b	(-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
▶	11.0b	(-.f64 (+.f64 (pow.f64 b 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)

Status

Error

Program

▶

34.8b

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

▶

9.1b

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

▶

11.0b

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

Compiler

Compiled 103 to 66 computations (35.9% saved)

localize77.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4)) (-.f64 (pow.f64 a 4) (pow.f64 b 4)))
✓	0.3b	(.f64 (-.f64 (.f64 a a) (.f64 b b)) (-.f64 (.f64 a a) (*.f64 b b)))
	0.7b	(.f64 (.f64 b b) (+.f64 3 a))
✓	43.5b	(/.f64 (.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4)) (-.f64 (pow.f64 a 4) (pow.f64 b 4))) (.f64 (-.f64 (.f64 a a) (.f64 b b)) (-.f64 (.f64 a a) (.f64 b b))))

Compiler

Compiled 246 to 113 computations (54.1% saved)

series12.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite100.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

706×	`log-prod_binary64`
646×	`fma-def_binary64`
289×	`fma-neg_binary64`
240×	`expm1-udef_binary64`
240×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	54
1	309	37
2	4378	37

Stop Event

1×	node limit

Counts

3 → 128

Calls

Call 1

Inputs

(/.f64 (*.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4)) (-.f64 (pow.f64 a 4) (pow.f64 b 4))) (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (-.f64 (*.f64 a a) (*.f64 b b))))

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

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

Outputs

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egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 a b) 2) (pow.f64 (-.f64 a b) 2) (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (fma.f64 b (neg.f64 b) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 a b) 2) (pow.f64 (-.f64 a b) 2) (*.f64 (fma.f64 b (neg.f64 b) (*.f64 b b)) (-.f64 (*.f64 a a) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) 2)) (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (fma.f64 b (neg.f64 b) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) 2)) (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) (*.f64 (fma.f64 b (neg.f64 b) (*.f64 b b)) (-.f64 (*.f64 a a) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (+.f64 a b)) (-.f64 a b) (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (fma.f64 b (neg.f64 b) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (+.f64 a b)) (-.f64 a b) (*.f64 (fma.f64 b (neg.f64 b) (*.f64 b b)) (-.f64 (*.f64 a a) (*.f64 b b))))))))

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

simplify66.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

970×	`fma-neg_binary64`
640×	`distribute-rgt-in_binary64`
417×	`fma-def_binary64`
319×	`distribute-rgt-out_binary64`
263×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	68	1482
1	205	1344
2	704	1222
3	3426	1194

Stop Event

1×	node limit

Counts

200 → 158

Calls

Call 1

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

Outputs
(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 b (.f64 b (*.f64 a a))) (pow.f64 b 4))
(fma.f64 (.f64 a a) (.f64 (*.f64 2 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)))
(+.f64 (fma.f64 2 (.f64 (.f64 a a) (*.f64 b b)) (pow.f64 b 4)) (pow.f64 a 4))
(fma.f64 2 (.f64 b (.f64 b (*.f64 a a))) (+.f64 (pow.f64 b 4) (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 a a) (*.f64 b b)) (pow.f64 b 4)) (pow.f64 a 4))
(fma.f64 2 (.f64 b (.f64 b (*.f64 a a))) (+.f64 (pow.f64 b 4) (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 a a) (*.f64 b b)) (pow.f64 a 4))
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(fma.f64 (pow.f64 b 4) (fma.f64 (pow.f64 a 4) -2 (pow.f64 b 4)) (pow.f64 a 8))
(+.f64 (pow.f64 b 8) (+.f64 (pow.f64 a 8) (.f64 -2 (.f64 (pow.f64 a 4) (pow.f64 b 4)))))
(+.f64 (pow.f64 b 8) (+.f64 (.f64 -2 (.f64 (pow.f64 b 4) (pow.f64 a 4))) (pow.f64 a 8)))
(+.f64 (pow.f64 b 8) (fma.f64 -2 (*.f64 (pow.f64 b 4) (pow.f64 a 4)) (pow.f64 a 8)))
(fma.f64 (pow.f64 b 4) (fma.f64 (pow.f64 a 4) -2 (pow.f64 b 4)) (pow.f64 a 8))
(pow.f64 a 8)
(+.f64 (pow.f64 a 8) (.f64 -2 (.f64 (pow.f64 a 4) (pow.f64 b 4))))
(+.f64 (.f64 -2 (.f64 (pow.f64 b 4) (pow.f64 a 4))) (pow.f64 a 8))
(fma.f64 -2 (*.f64 (pow.f64 b 4) (pow.f64 a 4)) (pow.f64 a 8))
(fma.f64 (pow.f64 b 4) (*.f64 (pow.f64 a 4) -2) (pow.f64 a 8))
(+.f64 (pow.f64 b 8) (+.f64 (pow.f64 a 8) (.f64 -2 (.f64 (pow.f64 a 4) (pow.f64 b 4)))))
(+.f64 (pow.f64 b 8) (+.f64 (.f64 -2 (.f64 (pow.f64 b 4) (pow.f64 a 4))) (pow.f64 a 8)))
(+.f64 (pow.f64 b 8) (fma.f64 -2 (*.f64 (pow.f64 b 4) (pow.f64 a 4)) (pow.f64 a 8)))
(fma.f64 (pow.f64 b 4) (fma.f64 (pow.f64 a 4) -2 (pow.f64 b 4)) (pow.f64 a 8))
(+.f64 (pow.f64 b 8) (+.f64 (pow.f64 a 8) (.f64 -2 (.f64 (pow.f64 a 4) (pow.f64 b 4)))))
(+.f64 (pow.f64 b 8) (+.f64 (.f64 -2 (.f64 (pow.f64 b 4) (pow.f64 a 4))) (pow.f64 a 8)))
(+.f64 (pow.f64 b 8) (fma.f64 -2 (*.f64 (pow.f64 b 4) (pow.f64 a 4)) (pow.f64 a 8)))
(fma.f64 (pow.f64 b 4) (fma.f64 (pow.f64 a 4) -2 (pow.f64 b 4)) (pow.f64 a 8))
(pow.f64 a 8)
(+.f64 (pow.f64 a 8) (.f64 -2 (.f64 (pow.f64 a 4) (pow.f64 b 4))))
(+.f64 (.f64 -2 (.f64 (pow.f64 b 4) (pow.f64 a 4))) (pow.f64 a 8))
(fma.f64 -2 (*.f64 (pow.f64 b 4) (pow.f64 a 4)) (pow.f64 a 8))
(fma.f64 (pow.f64 b 4) (*.f64 (pow.f64 a 4) -2) (pow.f64 a 8))
(+.f64 (pow.f64 b 8) (+.f64 (pow.f64 a 8) (.f64 -2 (.f64 (pow.f64 a 4) (pow.f64 b 4)))))
(+.f64 (pow.f64 b 8) (+.f64 (.f64 -2 (.f64 (pow.f64 b 4) (pow.f64 a 4))) (pow.f64 a 8)))
(+.f64 (pow.f64 b 8) (fma.f64 -2 (*.f64 (pow.f64 b 4) (pow.f64 a 4)) (pow.f64 a 8)))
(fma.f64 (pow.f64 b 4) (fma.f64 (pow.f64 a 4) -2 (pow.f64 b 4)) (pow.f64 a 8))
(+.f64 (pow.f64 b 8) (+.f64 (pow.f64 a 8) (.f64 -2 (.f64 (pow.f64 a 4) (pow.f64 b 4)))))
(+.f64 (pow.f64 b 8) (+.f64 (.f64 -2 (.f64 (pow.f64 b 4) (pow.f64 a 4))) (pow.f64 a 8)))
(+.f64 (pow.f64 b 8) (fma.f64 -2 (*.f64 (pow.f64 b 4) (pow.f64 a 4)) (pow.f64 a 8)))
(fma.f64 (pow.f64 b 4) (fma.f64 (pow.f64 a 4) -2 (pow.f64 b 4)) (pow.f64 a 8))
(pow.f64 b 8)
(+.f64 (pow.f64 b 8) (.f64 -2 (.f64 (pow.f64 a 4) (pow.f64 b 4))))
(+.f64 (pow.f64 b 8) (.f64 -2 (.f64 (pow.f64 b 4) (pow.f64 a 4))))
(*.f64 (pow.f64 b 4) (fma.f64 (pow.f64 a 4) -2 (pow.f64 b 4)))
(fma.f64 (pow.f64 a 4) (*.f64 (pow.f64 b 4) -2) (pow.f64 b 8))
(+.f64 (pow.f64 b 8) (+.f64 (pow.f64 a 8) (.f64 -2 (.f64 (pow.f64 a 4) (pow.f64 b 4)))))
(+.f64 (pow.f64 b 8) (+.f64 (.f64 -2 (.f64 (pow.f64 b 4) (pow.f64 a 4))) (pow.f64 a 8)))
(+.f64 (pow.f64 b 8) (fma.f64 -2 (*.f64 (pow.f64 b 4) (pow.f64 a 4)) (pow.f64 a 8)))
(fma.f64 (pow.f64 b 4) (fma.f64 (pow.f64 a 4) -2 (pow.f64 b 4)) (pow.f64 a 8))
(+.f64 (pow.f64 b 8) (+.f64 (pow.f64 a 8) (.f64 -2 (.f64 (pow.f64 a 4) (pow.f64 b 4)))))
(+.f64 (pow.f64 b 8) (+.f64 (.f64 -2 (.f64 (pow.f64 b 4) (pow.f64 a 4))) (pow.f64 a 8)))
(+.f64 (pow.f64 b 8) (fma.f64 -2 (*.f64 (pow.f64 b 4) (pow.f64 a 4)) (pow.f64 a 8)))
(fma.f64 (pow.f64 b 4) (fma.f64 (pow.f64 a 4) -2 (pow.f64 b 4)) (pow.f64 a 8))
(pow.f64 b 8)
(+.f64 (pow.f64 b 8) (.f64 -2 (.f64 (pow.f64 a 4) (pow.f64 b 4))))
(+.f64 (pow.f64 b 8) (.f64 -2 (.f64 (pow.f64 b 4) (pow.f64 a 4))))
(*.f64 (pow.f64 b 4) (fma.f64 (pow.f64 a 4) -2 (pow.f64 b 4)))
(fma.f64 (pow.f64 a 4) (*.f64 (pow.f64 b 4) -2) (pow.f64 b 8))
(+.f64 (pow.f64 b 8) (+.f64 (pow.f64 a 8) (.f64 -2 (.f64 (pow.f64 a 4) (pow.f64 b 4)))))
(+.f64 (pow.f64 b 8) (+.f64 (.f64 -2 (.f64 (pow.f64 b 4) (pow.f64 a 4))) (pow.f64 a 8)))
(+.f64 (pow.f64 b 8) (fma.f64 -2 (*.f64 (pow.f64 b 4) (pow.f64 a 4)) (pow.f64 a 8)))
(fma.f64 (pow.f64 b 4) (fma.f64 (pow.f64 a 4) -2 (pow.f64 b 4)) (pow.f64 a 8))
(+.f64 (pow.f64 b 8) (+.f64 (pow.f64 a 8) (.f64 -2 (.f64 (pow.f64 a 4) (pow.f64 b 4)))))
(+.f64 (pow.f64 b 8) (+.f64 (.f64 -2 (.f64 (pow.f64 b 4) (pow.f64 a 4))) (pow.f64 a 8)))
(+.f64 (pow.f64 b 8) (fma.f64 -2 (*.f64 (pow.f64 b 4) (pow.f64 a 4)) (pow.f64 a 8)))
(fma.f64 (pow.f64 b 4) (fma.f64 (pow.f64 a 4) -2 (pow.f64 b 4)) (pow.f64 a 8))

localize38.0ms (0.3%)

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)))
	0.1b	(.f64 (.f64 a a) (-.f64 1 a))
	0.7b	(.f64 (.f64 b b) (+.f64 3 a))

Compiler

Compiled 112 to 61 computations (45.5% saved)

series5.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite76.0ms (0.7%)

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	23
1	318	23
2	4501	23

Stop Event

1×	node limit

Counts

1 → 57

Calls

Call 1

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

Outputs

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

simplify66.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

882×	`fma-def_binary64`
648×	`fma-neg_binary64`
546×	`difference-of-squares_binary64`
436×	`associate-l_binary64`
313×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	558
1	96	494
2	270	439
3	881	402
4	3080	402
5	4502	402

Stop Event

1×	node limit

Counts

81 → 74

Calls

Call 1

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

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

localize178.0ms (1.5%)

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)))
	0.1b	(.f64 (.f64 a a) (-.f64 1 a))
	0.7b	(.f64 (.f64 b b) (+.f64 3 a))

Compiler

Compiled 112 to 61 computations (45.5% saved)

eval873.0ms (7.5%)

Compiler: Compiled 27006 to 15989 computations (40.8% saved)

prune410.0ms (3.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	740	6	746
Fresh	0	0	0
Picked	1	0	1
Done	2	0	2
Total	743	6	749

Error

Counts

749 → 6

Alt Table

Click to see full alt table

Status	Error	Program
	38.9b	(-.f64 (+.f64 (/.f64 (pow.f64 a 8) (.f64 (-.f64 (.f64 a a) (.f64 b b)) (-.f64 (.f64 a a) (.f64 b b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 3 a))))) 1)
▶	11.5b	(-.f64 (+.f64 (pow.f64 b 4) (.f64 12 (.f64 b b))) 1)
▶	10.8b	(-.f64 (+.f64 (pow.f64 b 4) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a))))) 1)
▶	10.2b	(-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a))))) 1)
▶	10.2b	(-.f64 (+.f64 (pow.f64 a 4) (.f64 12 (.f64 b b))) 1)
▶	9.9b	(-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 b (*.f64 b a))))) 1)

Compiler

Compiled 264 to 174 computations (34.1% saved)

localize57.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 98 to 44 computations (55.1% saved)

series12.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite116.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

672×	`log-prod_binary64`
553×	`fma-def_binary64`
332×	`pow2_binary64`
235×	`pow-unpow_binary64`
232×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	44
1	263	44
2	3624	44

Stop Event

1×	node limit

Counts

3 → 150

Calls

Call 1

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

Outputs

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

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

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

simplify100.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1003×	`fma-neg_binary64`
671×	`unswap-sqr_binary64`
461×	`difference-of-squares_binary64`
410×	`fma-def_binary64`
382×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	30	997
1	80	910
2	211	813
3	691	792
4	2494	792
5	4964	792

Stop Event

1×	node limit

Counts

222 → 173

Calls

Call 1

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

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

localize26.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 12 (.f64 b b))

Compiler

Compiled 38 to 22 computations (42.1% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite61.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

Outputs

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

simplify185.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

26 → 16

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.3b	(.f64 12 (.f64 b b))

Compiler

Compiled 37 to 22 computations (40.5% saved)

localize28.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 86 to 44 computations (48.8% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite79.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

583×	`log-prod_binary64`
482×	`fma-def_binary64`
445×	`pow-prod-down_binary64`
314×	`pow2_binary64`
225×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	254	31
2	3611	31

Stop Event

1×	node limit

Counts

2 → 124

Calls

Call 1

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

Outputs

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

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

simplify188.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1131×	`fma-def_binary64`
682×	`sqr-pow_binary64`
594×	`cube-prod_binary64`
549×	`fabs-mul_binary64`
470×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	748
1	67	672
2	180	613
3	477	613
4	1332	613
5	2360	613
6	3377	613
7	3633	613
8	3733	613
9	3869	613
10	4059	613
11	4308	613
12	4631	613
13	5026	613
14	5578	613
15	6321	613
16	7261	613
17	7815	613

Stop Event

1×	node limit

Counts

172 → 148

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

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

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 86 to 44 computations (48.8% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite76.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

763×	`fma-def_binary64`
705×	`log-prod_binary64`
340×	`fma-neg_binary64`
254×	`expm1-udef_binary64`
254×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	23
1	307	21
2	4497	21

Stop Event

1×	node limit

Counts

1 → 66

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 4 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a)) (pow.f64 b 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 b 8) (+.f64 (pow.f64 b 4) (*.f64 -4 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a))))) (/.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a)) 2) 16) (+.f64 (pow.f64 b 4) (*.f64 -4 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 4 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a)) (pow.f64 b 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 4 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a)) (pow.f64 b 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 4 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a)) (pow.f64 b 4))) (pow.f64 (cbrt.f64 (fma.f64 4 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a)) (pow.f64 b 4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a)) (pow.f64 b 4))) 2) (cbrt.f64 (fma.f64 4 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a)) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (*.f64 b b) (*.f64 (hypot.f64 a (*.f64 b (sqrt.f64 (+.f64 a 3)))) 2)) (hypot.f64 (*.f64 b b) (*.f64 (hypot.f64 a (*.f64 b (sqrt.f64 (+.f64 a 3)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a)) 3) 64 (pow.f64 b 12)) (/.f64 1 (fma.f64 (*.f64 4 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a))) (fma.f64 4 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a)) (neg.f64 (pow.f64 b 4))) (pow.f64 b 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 b 8) (*.f64 (pow.f64 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a)) 2) 16)) (/.f64 1 (+.f64 (pow.f64 b 4) (*.f64 -4 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 4 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a))) (fma.f64 4 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a)) (neg.f64 (pow.f64 b 4))) (pow.f64 b 8)) (fma.f64 (pow.f64 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a)) 3) 64 (pow.f64 b 12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 b 4) (*.f64 -4 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a)))) (-.f64 (pow.f64 b 8) (*.f64 (pow.f64 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a)) 2) 16))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a)) 3) 64 (pow.f64 b 12)) (fma.f64 (*.f64 4 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a))) (fma.f64 4 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a)) (neg.f64 (pow.f64 b 4))) (pow.f64 b 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a)) 3) 64 (pow.f64 b 12)) (fma.f64 (pow.f64 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a)) 2) 16 (-.f64 (pow.f64 b 8) (*.f64 (*.f64 (pow.f64 b 4) 4) (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 b 8) (*.f64 (pow.f64 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a)) 2) 16)) (+.f64 (pow.f64 b 4) (*.f64 -4 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a)) 3) 64 (pow.f64 b 12))) (neg.f64 (fma.f64 (*.f64 4 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a))) (fma.f64 4 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a)) (neg.f64 (pow.f64 b 4))) (pow.f64 b 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 b 8) (*.f64 (pow.f64 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a)) 2) 16))) (neg.f64 (+.f64 (pow.f64 b 4) (*.f64 -4 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a)) 2) 16) (pow.f64 b 8)) (fma.f64 4 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a)) (neg.f64 (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 4 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a)) (pow.f64 b 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 4 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a)) (pow.f64 b 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 4 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a)) (pow.f64 b 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (*.f64 b b) (*.f64 (hypot.f64 a (*.f64 b (sqrt.f64 (+.f64 a 3)))) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 4 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a)) (pow.f64 b 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 4 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a)) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 4 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a)) (pow.f64 b 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 b 4))) (pow.f64 (exp.f64 4) (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (pow.f64 b 4)) (+.f64 1 (expm1.f64 (*.f64 4 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 b 4))) (+.f64 1 (expm1.f64 (*.f64 4 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 4 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a))))) (exp.f64 (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 4) (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a))) (+.f64 1 (expm1.f64 (pow.f64 b 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 4 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a))))) (+.f64 1 (expm1.f64 (pow.f64 b 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 4 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a)) (pow.f64 b 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 4 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a)) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 4 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a)) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 4 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a)) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 4 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a)) (pow.f64 b 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b (pow.f64 b 3) (*.f64 4 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (*.f64 a a) (fma.f64 (+.f64 a 3) (*.f64 (*.f64 b b) 4) (pow.f64 b 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a)) (pow.f64 b 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 b 4) 1 (*.f64 4 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (*.f64 a 4) (fma.f64 (+.f64 a 3) (*.f64 (*.f64 b b) 4) (pow.f64 b 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a a) 4 (fma.f64 (+.f64 a 3) (*.f64 (*.f64 b b) 4) (pow.f64 b 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b b) (*.f64 b b) (*.f64 4 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a)) 4 (pow.f64 b 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a))) 1 (pow.f64 b 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 b 4) (*.f64 4 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 4 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a))) (pow.f64 b 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 a (*.f64 a 4)) (fma.f64 (+.f64 a 3) (*.f64 (*.f64 b b) 4) (pow.f64 b 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 b 3) b (*.f64 4 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a)) 2)) (*.f64 (cbrt.f64 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a))) 4) (pow.f64 b 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 4 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a)))) (cbrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a)) 2) 16)) (pow.f64 b 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a)) 2) 16)) (cbrt.f64 (*.f64 4 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a)))) (pow.f64 b 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 a 4)) (*.f64 (pow.f64 (cbrt.f64 a) 2) 4) (fma.f64 (+.f64 a 3) (*.f64 (*.f64 b b) 4) (pow.f64 b 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 b 4)) (cbrt.f64 (pow.f64 b 8)) (*.f64 4 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 b 4)) (*.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 b b)) (*.f64 4 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 b 8)) (cbrt.f64 (pow.f64 b 4)) (*.f64 4 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 a (*.f64 b (sqrt.f64 (+.f64 a 3)))) (*.f64 (hypot.f64 a (*.f64 b (sqrt.f64 (+.f64 a 3)))) 4) (pow.f64 b 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (hypot.f64 a (*.f64 b (sqrt.f64 (+.f64 a 3)))) 2) (*.f64 (hypot.f64 a (*.f64 b (sqrt.f64 (+.f64 a 3)))) 2) (pow.f64 b 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 a (*.f64 a 4))) (cbrt.f64 (*.f64 a (*.f64 a 4)))) (cbrt.f64 (*.f64 a (*.f64 a 4))) (fma.f64 (+.f64 a 3) (*.f64 (*.f64 b b) 4) (pow.f64 b 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 a (*.f64 a 4))) (sqrt.f64 (*.f64 a (*.f64 a 4))) (fma.f64 (+.f64 a 3) (*.f64 (*.f64 b b) 4) (pow.f64 b 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 b) 2) 4) (pow.f64 (cbrt.f64 b) 4) (*.f64 4 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 b) 4) (pow.f64 (sqrt.f64 b) 4) (*.f64 4 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 b b) (cbrt.f64 (pow.f64 b 4))) (pow.f64 (cbrt.f64 b) 2) (*.f64 4 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a)) 2))) (cbrt.f64 (fma.f64 (*.f64 b b) (+.f64 a 3) (*.f64 a a))) (pow.f64 b 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (hypot.f64 a (*.f64 b (sqrt.f64 (+.f64 a 3))))) (hypot.f64 a (*.f64 b (sqrt.f64 (+.f64 a 3)))) (pow.f64 b 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 a) a (fma.f64 (+.f64 a 3) (*.f64 (*.f64 b b) 4) (pow.f64 b 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (cbrt.f64 (pow.f64 a 4))) (pow.f64 (cbrt.f64 a) 2) (fma.f64 (+.f64 a 3) (*.f64 (*.f64 b b) 4) (pow.f64 b 4)))))))

simplify125.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

632×	`unswap-sqr_binary64`
575×	`fma-def_binary64`
448×	`distribute-rgt-in_binary64`
424×	`distribute-lft-in_binary64`
410×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	460
1	76	410
2	224	386
3	647	376
4	1996	376
5	2980	376
6	4343	376
7	4456	376
8	4644	376
9	4909	376
10	5544	376
11	6919	376

Stop Event

1×	node limit

Counts

90 → 80

Calls

Call 1

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

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

eval481.0ms (4.1%)

Compiler: Compiled 18278 to 11530 computations (36.9% saved)

prune110.0ms (0.9%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	738	5	743
Fresh	0	1	1
Picked	1	0	1
Done	1	3	4
Total	740	9	749

Error

Counts

749 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	20.7b	(-.f64 (.f64 4 (.f64 a a)) 1)
▶	11.0b	(-.f64 (+.f64 (pow.f64 a 4) (.f64 a (.f64 a 4))) 1)
▶	20.7b	(-.f64 (.f64 (.f64 4 a) (fma.f64 b b a)) 1)
	38.9b	(-.f64 (+.f64 (/.f64 (pow.f64 a 8) (.f64 (-.f64 (.f64 a a) (.f64 b b)) (-.f64 (.f64 a a) (.f64 b b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 3 a))))) 1)
▶	12.3b	(-.f64 (pow.f64 b 4) 1)
✓	11.5b	(-.f64 (+.f64 (pow.f64 b 4) (.f64 12 (.f64 b b))) 1)
▶	11.5b	(-.f64 (.f64 b (.f64 b (fma.f64 b b 12))) 1)
✓	10.2b	(-.f64 (+.f64 (pow.f64 a 4) (.f64 12 (.f64 b b))) 1)
✓	9.9b	(-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 b (*.f64 b a))))) 1)

Compiler

Compiled 237 to 156 computations (34.2% saved)

localize15.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 36 to 25 computations (30.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite62.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

792×	`pow1_binary64`
742×	`add-log-exp_binary64`
742×	`log1p-expm1-u_binary64`
742×	`expm1-log1p-u_binary64`
725×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	157	11
2	2106	11

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 a (*.f64 a 4) (pow.f64 a 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 a 8) (-.f64 (pow.f64 a 4) (*.f64 4 (*.f64 a a)))) (/.f64 (*.f64 (pow.f64 a 4) 16) (-.f64 (pow.f64 a 4) (*.f64 4 (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 a (*.f64 a 4) (pow.f64 a 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 a (*.f64 a 4) (pow.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 a (*.f64 a 4) (pow.f64 a 4))) (pow.f64 (cbrt.f64 (fma.f64 a (*.f64 a 4) (pow.f64 a 4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 a (*.f64 a 4) (pow.f64 a 4))) 2) (cbrt.f64 (fma.f64 a (*.f64 a 4) (pow.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (*.f64 a 2) (*.f64 a a)) (hypot.f64 (*.f64 a 2) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 a 12) (*.f64 (pow.f64 (*.f64 a a) 3) 64)) (/.f64 1 (+.f64 (pow.f64 a 8) (-.f64 (*.f64 (pow.f64 a 4) 16) (*.f64 (pow.f64 a 4) (*.f64 4 (*.f64 a a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 a 8) (*.f64 (pow.f64 a 4) 16)) (/.f64 1 (-.f64 (pow.f64 a 4) (*.f64 4 (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 a 8) (-.f64 (*.f64 (pow.f64 a 4) 16) (*.f64 (pow.f64 a 4) (*.f64 4 (*.f64 a a))))) (+.f64 (pow.f64 a 12) (*.f64 (pow.f64 (*.f64 a a) 3) 64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (pow.f64 a 4) (*.f64 4 (*.f64 a a))) (-.f64 (pow.f64 a 8) (*.f64 (pow.f64 a 4) 16))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a 12) (*.f64 (pow.f64 (*.f64 a a) 3) 64)) (+.f64 (pow.f64 a 8) (-.f64 (*.f64 (pow.f64 a 4) 16) (*.f64 (pow.f64 a 4) (*.f64 4 (*.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a 12) (*.f64 (pow.f64 (*.f64 a a) 3) 64)) (+.f64 (*.f64 (pow.f64 a 4) 16) (-.f64 (pow.f64 a 8) (*.f64 (pow.f64 a 4) (*.f64 4 (*.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 a 8) (*.f64 (pow.f64 a 4) 16)) (-.f64 (pow.f64 a 4) (*.f64 4 (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 a 12) (*.f64 (pow.f64 (*.f64 a a) 3) 64))) (neg.f64 (+.f64 (pow.f64 a 8) (-.f64 (*.f64 (pow.f64 a 4) 16) (*.f64 (pow.f64 a 4) (*.f64 4 (*.f64 a a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 a 8) (*.f64 (pow.f64 a 4) 16))) (neg.f64 (-.f64 (pow.f64 a 4) (*.f64 4 (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 a 4) 16) (pow.f64 a 8)) (-.f64 (*.f64 4 (*.f64 a a)) (pow.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a (*.f64 a 4) (pow.f64 a 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a (*.f64 a 4) (pow.f64 a 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 a (*.f64 a 4) (pow.f64 a 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (*.f64 a 2) (*.f64 a a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 a (*.f64 a 4) (pow.f64 a 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 a (*.f64 a 4) (pow.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a (*.f64 a 4) (pow.f64 a 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 a (*.f64 a 4) (pow.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 a (*.f64 a 4) (pow.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 a (*.f64 a 4) (pow.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (*.f64 a 4) (pow.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a 4) a (pow.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 a 4) (*.f64 4 (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 4 (*.f64 a a)) (pow.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 a 4) 16)) (cbrt.f64 (*.f64 4 (*.f64 a a))) (pow.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 a 8)) (cbrt.f64 (pow.f64 a 4)) (*.f64 4 (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a 2) (*.f64 a 2) (pow.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a a) 4 (pow.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 4 (*.f64 a a)))))))

simplify195.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	114
1	18	114
2	40	114
3	98	114
4	272	114
5	929	114
6	1871	114
7	2166	114
8	2351	114
9	2552	114
10	2826	114
11	3186	114
12	3641	114
13	4175	114
14	4809	114
15	5560	114
16	5873	114
17	6095	114
18	6293	114
19	6349	114
20	6373	114
21	7207	114

Stop Event

1×	node limit

Counts

48 → 41

Calls

Call 1

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

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

localize17.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 11 computations (45% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite61.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

Outputs

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

simplify190.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

26 → 16

Calls

Call 1

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

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

localize11.0ms (0.1%)

Compiler: Compiled 13 to 10 computations (23.1% saved)

localize29.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 33 to 19 computations (42.4% saved)

series6.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite71.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

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

Outputs

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

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

simplify190.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1034×	`sqr-pow_binary64`
624×	`fma-def_binary64`
499×	`cube-prod_binary64`
470×	`pow-sqr_binary64`
464×	`fabs-mul_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	198
1	33	198
2	63	198
3	126	198
4	385	198
5	1833	198
6	2768	198
7	3171	198
8	3432	198
9	3743	198
10	4154	198
11	4747	198
12	5398	198
13	6172	198
14	6555	198
15	6885	198
16	7157	198
17	7329	198
18	7419	198

Stop Event

1×	node limit

Counts

50 → 35

Calls

Call 1

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

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

localize24.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 31 to 15 computations (51.6% saved)

series6.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite68.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

657×	`pow1_binary64`
606×	`add-log-exp_binary64`
606×	`log1p-expm1-u_binary64`
606×	`expm1-log1p-u_binary64`
593×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	142	11
2	1646	11

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

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

Outputs

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

simplify190.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	339
1	28	285
2	64	285
3	170	249
4	632	249
5	1130	249
6	1867	249
7	2011	249
8	2110	249
9	2243	249
10	2435	249
11	2684	249
12	3003	249
13	3396	249
14	3952	249
15	4695	249
16	5633	249
17	6191	249
18	6675	249
19	7121	249
20	7365	249
21	7411	249

Stop Event

1×	node limit

Counts

39 → 21

Calls

Call 1

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

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

eval65.0ms (0.6%)

Compiler: Compiled 1521 to 1054 computations (30.7% saved)

prune32.0ms (0.3%)

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	104	9	113
Fresh	0	1	1
Picked	1	0	1
Done	3	4	7
Total	108	14	122

Error

Counts

122 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	11.6b	(-.f64 (+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (*.f64 b b) 12)) 1)
	11.0b	(-.f64 (pow.f64 a 4) 1)
	20.7b	(-.f64 (+.f64 (.f64 (.f64 b b) (.f64 4 a)) (.f64 a (*.f64 4 a))) 1)
	11.0b	(-.f64 (.f64 a (.f64 a (fma.f64 a a 4))) 1)
	21.4b	(-.f64 (.f64 b (.f64 a (*.f64 4 b))) 1)
	20.6b	(-.f64 (.f64 b (.f64 12 b)) 1)
	11.6b	(-.f64 (.f64 (fma.f64 b b 12) (.f64 b b)) 1)
✓	9.9b	(-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 b (*.f64 b a))))) 1)
	20.6b	(-.f64 (.f64 12 (.f64 b b)) 1)
✓	20.7b	(-.f64 (.f64 4 (.f64 a a)) 1)
	11.0b	(-.f64 (fma.f64 (.f64 a a) (.f64 a a) (.f64 4 (.f64 a a))) 1)
	38.9b	(-.f64 (+.f64 (/.f64 (pow.f64 a 8) (.f64 (-.f64 (.f64 a a) (.f64 b b)) (-.f64 (.f64 a a) (.f64 b b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 3 a))))) 1)
✓	12.3b	(-.f64 (pow.f64 b 4) 1)
✓	11.5b	(-.f64 (.f64 b (.f64 b (fma.f64 b b 12))) 1)

Compiler

Compiled 202 to 131 computations (35.1% saved)

regimes64.0ms (0.6%)

Counts

25 → 1

Calls

Call 1

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

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

Calls

6 calls:

13.0ms	a
12.0ms	b
9.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
8.0ms	(*.f64 b b)
6.0ms	(*.f64 b b)

Results

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

Compiler

Compiled 482 to 275 computations (42.9% saved)

regimes58.0ms (0.5%)

Counts

24 → 1

Calls

Call 1

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

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

Calls

5 calls:

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)))))
7.0ms	(*.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 454 to 258 computations (43.2% saved)

regimes151.0ms (1.3%)

Counts

21 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

92.0ms	a
29.0ms	b
11.0ms	(*.f64 b b)
11.0ms	(*.f64 b b)

Results

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

Compiler

Compiled 280 to 169 computations (39.6% saved)

bsearch57.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
29.0ms	102.08974796256437	3719.8084798906516
28.0ms	-32.86412676557208	-27.11265992348856

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes87.0ms (0.7%)

Counts

20 → 2

Calls

Call 1

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

Calls

4 calls:

29.0ms	b
29.0ms	a
11.0ms	(*.f64 b b)
10.0ms	(*.f64 b b)

Results

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

Compiler

Compiled 257 to 155 computations (39.7% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.038825116318585574	246.94096572176338

Compiler

Compiled 34 to 23 computations (32.4% saved)

regimes84.0ms (0.7%)

Counts

19 → 3

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

29.0ms	b
27.0ms	a
11.0ms	(*.f64 b b)
10.0ms	(*.f64 b b)

Results

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

Compiler

Compiled 234 to 141 computations (39.7% saved)

bsearch60.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	102.08974796256437	3719.8084798906516
32.0ms	-32.86412676557208	-27.11265992348856

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes81.0ms (0.7%)

Counts

18 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

29.0ms	a
27.0ms	b
10.0ms	(*.f64 b b)
10.0ms	(*.f64 b b)

Results

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

Compiler

Compiled 213 to 128 computations (39.9% saved)

bsearch56.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
27.0ms	102.08974796256437	3719.8084798906516
29.0ms	-32.86412676557208	-27.11265992348856

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes111.0ms (1%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

4 calls:

53.0ms	a
30.0ms	b
11.0ms	(*.f64 b b)
9.0ms	(*.f64 b b)

Results

Error	Segments	Branch
2.0b	3	`a`
2.1b	3	`b`
2.1b	2	`(*.f64 b b)`
2.1b	2	`(*.f64 b b)`

Compiler

Compiled 194 to 117 computations (39.7% saved)

bsearch62.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
31.0ms	102.08974796256437	3719.8084798906516
31.0ms	-32.86412676557208	-27.11265992348856

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes71.0ms (0.6%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

4 calls:

23.0ms	b
22.0ms	a
11.0ms	(*.f64 b b)
10.0ms	(*.f64 b b)

Results

Error	Segments	Branch
2.0b	3	`a`
2.1b	3	`b`
2.1b	2	`(*.f64 b b)`
2.1b	2	`(*.f64 b b)`

Compiler

Compiled 175 to 106 computations (39.4% saved)

bsearch55.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
27.0ms	102.08974796256437	3719.8084798906516
28.0ms	-32.86412676557208	-27.11265992348856

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes64.0ms (0.5%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

4 calls:

22.0ms	b
20.0ms	a
9.0ms	(*.f64 b b)
8.0ms	(*.f64 b b)

Results

Error	Segments	Branch
2.0b	3	`a`
2.4b	3	`b`
2.4b	2	`(*.f64 b b)`
2.4b	2	`(*.f64 b b)`

Compiler

Compiled 150 to 94 computations (37.3% saved)

bsearch55.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
27.0ms	102.08974796256437	3719.8084798906516
28.0ms	-32.86412676557208	-27.11265992348856

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes61.0ms (0.5%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

4 calls:

20.0ms	a
19.0ms	b
9.0ms	(*.f64 b b)
8.0ms	(*.f64 b b)

Results

Error	Segments	Branch
2.1b	3	`a`
2.4b	3	`b`
2.4b	2	`(*.f64 b b)`
2.4b	2	`(*.f64 b b)`

Compiler

Compiled 139 to 87 computations (37.4% saved)

bsearch63.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
35.0ms	102.08974796256437	3719.8084798906516
28.0ms	-32.86412676557208	-27.11265992348856

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes120.0ms (1%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

4 calls:

40.0ms	a
40.0ms	b
16.0ms	(*.f64 b b)
15.0ms	(*.f64 b b)

Results

Error	Segments	Branch
2.1b	3	`a`
2.5b	3	`b`
2.5b	2	`(*.f64 b b)`
2.5b	2	`(*.f64 b b)`

Compiler

Compiled 128 to 79 computations (38.3% saved)

bsearch110.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
55.0ms	102.08974796256437	3719.8084798906516
54.0ms	-32.86412676557208	-27.11265992348856

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes115.0ms (1%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

4 calls:

38.0ms	a
38.0ms	b
17.0ms	(*.f64 b b)
16.0ms	(*.f64 b b)

Results

Error	Segments	Branch
2.1b	3	`a`
2.5b	3	`b`
2.5b	2	`(*.f64 b b)`
2.5b	2	`(*.f64 b b)`

Compiler

Compiled 118 to 73 computations (38.1% saved)

bsearch100.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
50.0ms	102.08974796256437	3719.8084798906516
50.0ms	-32.86412676557208	-27.11265992348856

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes90.0ms (0.8%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

3 calls:

37.0ms	a
34.0ms	b
14.0ms	(*.f64 b b)

Results

Error	Segments	Branch
2.1b	3	`a`
2.5b	3	`b`
2.5b	2	`(*.f64 b b)`

Compiler

Compiled 93 to 59 computations (36.6% saved)

bsearch67.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
27.0ms	102.08974796256437	3719.8084798906516
40.0ms	-32.86412676557208	-27.11265992348856

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes16.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 73 to 45 computations (38.4% saved)

regimes17.0ms (0.1%)

Accuracy

Total -0.9b remaining (-4.2%)

Threshold costs -0.9b (-4.2%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Error	Segments	Branch
20.6b	1	`a`
20.6b	1	`b`
20.6b	1	`(*.f64 b b)`
20.6b	1	`(*.f64 b b)`

Compiler

Compiled 48 to 33 computations (31.3% saved)

simplify33.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

34×	`+-commutative_binary64`
18×	`*-commutative_binary64`
18×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	833
1	152	833
2	172	833
3	176	833
4	178	833

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 a -1156303664494431/35184372088832) (-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 b (.f64 b a))))) 1) (if (<=.f64 a 7183927357539887/70368744177664) (-.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 b (*.f64 b a))))) 1)))
(if (<=.f64 (.f64 b b) 3602879701896397/72057594037927936) (-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 3 a))))) 1) (-.f64 (+.f64 (pow.f64 b 4) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a))))) 1))
(if (<=.f64 a -1156303664494431/35184372088832) (-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 b (.f64 b a))))) 1) (if (<=.f64 a 7183927357539887/70368744177664) (-.f64 (+.f64 (pow.f64 b 4) (.f64 4 (+.f64 (.f64 a 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 b (.f64 b a))))) 1)))
(if (<=.f64 a -1156303664494431/35184372088832) (-.f64 (+.f64 (pow.f64 a 4) (.f64 a (.f64 a 4))) 1) (if (<=.f64 a 7183927357539887/70368744177664) (-.f64 (+.f64 (pow.f64 b 4) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a))))) 1) (-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a))))) 1)))
(if (<=.f64 a -1156303664494431/35184372088832) (-.f64 (+.f64 (pow.f64 a 4) (.f64 a (.f64 a 4))) 1) (if (<=.f64 a 7183927357539887/70368744177664) (-.f64 (+.f64 (pow.f64 b 4) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 3 a))))) 1) (-.f64 (+.f64 (pow.f64 a 4) (.f64 12 (.f64 b b))) 1)))
(if (<=.f64 a -1156303664494431/35184372088832) (-.f64 (+.f64 (pow.f64 a 4) (.f64 a (.f64 a 4))) 1) (if (<=.f64 a 7183927357539887/70368744177664) (-.f64 (+.f64 (pow.f64 b 4) (.f64 12 (.f64 b b))) 1) (-.f64 (+.f64 (pow.f64 a 4) (.f64 12 (.f64 b b))) 1)))
(if (<=.f64 a -1156303664494431/35184372088832) (-.f64 (+.f64 (pow.f64 a 4) (.f64 a (.f64 a 4))) 1) (if (<=.f64 a 7183927357539887/70368744177664) (-.f64 (+.f64 (pow.f64 b 4) (.f64 12 (.f64 b b))) 1) (-.f64 (pow.f64 a 4) 1)))
(if (<=.f64 a -1156303664494431/35184372088832) (-.f64 (+.f64 (pow.f64 a 4) (.f64 a (.f64 a 4))) 1) (if (<=.f64 a 7183927357539887/70368744177664) (-.f64 (.f64 b (.f64 b (fma.f64 b b 12))) 1) (-.f64 (pow.f64 a 4) 1)))
(if (<=.f64 a -1156303664494431/35184372088832) (-.f64 (pow.f64 a 4) 1) (if (<=.f64 a 7183927357539887/70368744177664) (-.f64 (.f64 b (.f64 b (fma.f64 b b 12))) 1) (-.f64 (pow.f64 a 4) 1)))
(if (<=.f64 a -1156303664494431/35184372088832) (-.f64 (pow.f64 a 4) 1) (if (<=.f64 a 7183927357539887/70368744177664) (-.f64 (.f64 (fma.f64 b b 12) (.f64 b b)) 1) (-.f64 (pow.f64 a 4) 1)))
(if (<=.f64 a -1156303664494431/35184372088832) (-.f64 (pow.f64 a 4) 1) (if (<=.f64 a 7183927357539887/70368744177664) (-.f64 (+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (*.f64 b b) 12)) 1) (-.f64 (pow.f64 a 4) 1)))
(-.f64 (+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (*.f64 b b) 12)) 1)
(-.f64 (.f64 b (.f64 12 b)) 1)

Outputs
(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (-.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)) (pow.f64 a 3)) -1))
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
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(if (<=.f64 a -1156303664494431/35184372088832) (+.f64 -1 (+.f64 (pow.f64 a 4) (.f64 a (.f64 a 4)))) (if (<=.f64 a 7183927357539887/70368744177664) (+.f64 -1 (+.f64 (pow.f64 b 4) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 a 3)))))) (+.f64 -1 (+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 a a) (.f64 (.f64 b b) (+.f64 a 3))))))))
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(if (<=.f64 a -1156303664494431/35184372088832) (+.f64 (pow.f64 a 4) -1) (if (<=.f64 a 7183927357539887/70368744177664) (+.f64 (+.f64 (.f64 (.f64 b b) 12) (.f64 (.f64 b b) (*.f64 b b))) -1) (+.f64 (pow.f64 a 4) -1)))
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(-.f64 (+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (*.f64 b b) 12)) 1)
(+.f64 (+.f64 (.f64 (.f64 b b) 12) (.f64 (.f64 b b) (*.f64 b b))) -1)
(+.f64 -1 (+.f64 (.f64 (.f64 b b) 12) (.f64 (.f64 b b) (*.f64 b b))))
(-.f64 (.f64 b (.f64 12 b)) 1)
(+.f64 (.f64 b (.f64 b 12)) -1)
(+.f64 -1 (.f64 b (.f64 b 12)))

Compiler

Compiled 599 to 405 computations (32.4% saved)

soundness103.0ms (0.9%)

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)

end249.0ms (2.1%)

Compiler: Compiled 571 to 358 computations (37.3% saved)