Details

analyze152.0ms (1.5%)

Algorithm

1×

Search

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

Compiler

Compiled 32 to 20 computations (37.5% saved)

sample1.9s (19.1%)

Results

1.7s	8256×	body	256	valid
176.0ms	944×	body	256	infinite

Bogosity

preprocess64.0ms (0.6%)

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)

simplify52.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(-.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)

localize37.0ms (0.4%)

Local error

Found 8 expressions with local error:

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

series18.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

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

rewrite123.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	74
1	365	74
2	4863	74

Stop Event

1×	node limit

Counts

4 → 230

Calls

Call 1

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

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

simplify85.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

930×	`fma-def_binary64`
544×	`distribute-rgt-in_binary64`
538×	`distribute-lft-in_binary64`
402×	`fma-neg_binary64`
347×	`+-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	123	1571
1	386	1543
2	1298	1486
3	4819	1480

Stop Event

1×	node limit

Counts

326 → 288

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

localize42.0ms (0.4%)

Local error

Found 8 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 (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 (.f64 a a) (.f64 b b))
	0.0b	(+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 3 a)))
✓	0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.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
2.0ms	a	@	inf	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
1.0ms	a	@	0	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
1.0ms	b	@	0	(.f64 (.f64 b b) (+.f64 3 a))
1.0ms	b	@	inf	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
1.0ms	b	@	0	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))

rewrite108.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	67
1	420	63
2	6136	63

Stop Event

1×	node limit

Counts

4 → 110

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b (.f64 b a)) (.f64 b (.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b (.f64 b 3)) (.f64 b (.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 b (.f64 b 3)) 1) (.f64 (.f64 b (.f64 b a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (.f64 b b) (+.f64 3 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 b (.f64 b 3)) 3) (pow.f64 (.f64 b (.f64 b a)) 3)) (+.f64 (.f64 (.f64 b (.f64 b 3)) (.f64 b (.f64 b 3))) (-.f64 (.f64 (.f64 b (.f64 b a)) (.f64 b (.f64 b a))) (.f64 (.f64 b (.f64 b 3)) (.f64 b (.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 b (.f64 b 3)) (.f64 b (.f64 b 3))) (.f64 (.f64 b (.f64 b a)) (.f64 b (.f64 b a)))) (fma.f64 b (.f64 b 3) (neg.f64 (.f64 b (.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 27 (pow.f64 a 3)) (.f64 b b)) (+.f64 9 (.f64 a (-.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 9 (.f64 a a)) (.f64 b b)) (-.f64 3 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 b b) (+.f64 27 (pow.f64 a 3))) (+.f64 9 (.f64 a (-.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 b b) (-.f64 9 (.f64 a a))) (-.f64 3 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 b b) (+.f64 3 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (.f64 b b) (+.f64 3 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 b (sqrt.f64 (+.f64 3 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (+.f64 3 a) 3) (pow.f64 b 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (.f64 b b) (+.f64 3 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 b) b) (+.f64 3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 b b) (+.f64 3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (+.f64 3 a) 3) (pow.f64 b 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (.f64 b b) (+.f64 3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (.f64 b b) (+.f64 3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (.f64 b b) (+.f64 3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (.f64 b b) (+.f64 3 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 b b) 3 (.f64 b (.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (.f64 b b) (.f64 b (.f64 b a)))))))
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a) 2) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4) (.f64 16 (pow.f64 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) 2)))) (neg.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (.f64 -4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 16 (pow.f64 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) 2) (neg.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4))) (-.f64 (.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a))))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (pow.f64 (hypot.f64 b a) 2) (.f64 2 (hypot.f64 (.f64 a (sqrt.f64 (-.f64 1 a))) (.f64 b (sqrt.f64 (+.f64 3 a)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (hypot.f64 b a) 2) (pow.f64 (hypot.f64 b a) 2) (.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a))))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))) 4 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))))) 2) (cbrt.f64 (.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 b a) 2)) 2) (.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 2 (hypot.f64 (.f64 a (sqrt.f64 (-.f64 1 a))) (.f64 b (sqrt.f64 (+.f64 3 a))))) (.f64 2 (hypot.f64 (.f64 a (sqrt.f64 (-.f64 1 a))) (*.f64 b (sqrt.f64 (+.f64 3 a))))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))))

simplify89.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

702×	`associate-+l+_binary64`
701×	`associate-r_binary64`
489×	`unswap-sqr_binary64`
477×	`associate-+r+_binary64`
439×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	62	1400
1	179	1360
2	501	1290
3	1961	1277
4	5770	1277

Stop Event

1×	node limit

Counts

194 → 155

Calls

Call 1

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

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

eval263.0ms (2.6%)

Compiler: Compiled 14451 to 8624 computations (40.3% saved)

prune72.0ms (0.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	435	8	443
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	437	8	445

Error

Counts

445 → 8

Alt Table

Click to see full alt table

Status	Error	Program
	49.3b	(pow.f64 b 4)
	13.5b	(-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 b (.f64 a (+.f64 4 (*.f64 2 a)))))) 1)
▶	33.9b	(-.f64 (+.f64 (/.f64 (.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4)) (-.f64 (pow.f64 a 4) (pow.f64 b 4))) (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (.f64 (+.f64 a b) (-.f64 a b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
▶	11.4b	(-.f64 (.f64 (.f64 b b) (fma.f64 b b 12)) 1)
	12.7b	(-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
▶	13.6b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
▶	52.6b	(pow.f64 a 4)
▶	10.6b	(-.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 334 to 228 computations (31.7% saved)

localize37.0ms (0.4%)

Local error

Found 8 expressions with local error:

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

Compiler

Compiled 112 to 61 computations (45.5% saved)

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite96.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 a) (*.f64 (*.f64 a a) 4)) (*.f64 b (*.f64 (*.f64 b (+.f64 a 3)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b (*.f64 (*.f64 b (+.f64 a 3)) 4)) (*.f64 (-.f64 1 a) (*.f64 (*.f64 a a) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (-.f64 1 a) (*.f64 (*.f64 a a) 4)) 1) (*.f64 (*.f64 b (*.f64 (*.f64 b (+.f64 a 3)) 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))))) (cbrt.f64 (pow.f64 (exp.f64 4) (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 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(*.f64 b (*.f64 (*.f64 b (+.f64 a 3)) 4)))) (-.f64 (*.f64 (-.f64 1 a) (*.f64 (*.f64 a a) 4)) (*.f64 b (*.f64 (*.f64 b (+.f64 a 3)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 a (*.f64 a (-.f64 1 a))) 3) (*.f64 (pow.f64 b 6) (pow.f64 (+.f64 a 3) 3))) 4) (+.f64 (*.f64 (pow.f64 (-.f64 1 a) 2) (pow.f64 a 4)) (*.f64 (*.f64 b (*.f64 b (+.f64 a 3))) (-.f64 (*.f64 b (*.f64 b (+.f64 a 3))) (*.f64 a (*.f64 a (-.f64 1 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (-.f64 1 a) 2) (pow.f64 a 4)) (*.f64 (pow.f64 b 4) (pow.f64 (+.f64 a 3) 2))) 4) (-.f64 (*.f64 a (*.f64 a (-.f64 1 a))) (*.f64 b (*.f64 b (+.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (+.f64 (pow.f64 (*.f64 a (*.f64 a (-.f64 1 a))) 3) (*.f64 (pow.f64 b 6) (pow.f64 (+.f64 a 3) 3)))) (+.f64 (*.f64 (pow.f64 (-.f64 1 a) 2) (pow.f64 a 4)) (*.f64 (*.f64 b (*.f64 b (+.f64 a 3))) (-.f64 (*.f64 b (*.f64 b (+.f64 a 3))) (*.f64 a (*.f64 a 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(pow.f64 (exp.f64 4) (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 b (*.f64 (*.f64 b (+.f64 a 3)) 4))) (exp.f64 (*.f64 (-.f64 1 a) (*.f64 (*.f64 a a) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 64 (pow.f64 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))))))))) (#(struct:change #<rule 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) (pow.f64 b 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 b 8) (+.f64 (pow.f64 b 4) (*.f64 -4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3))))))) (/.f64 (*.f64 16 (pow.f64 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) 2)) (+.f64 (pow.f64 b 4) (*.f64 -4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) (pow.f64 b 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) (pow.f64 b 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) (pow.f64 b 4))) (pow.f64 (cbrt.f64 (fma.f64 4 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 b 8) (*.f64 16 (pow.f64 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) 2))) (/.f64 1 (+.f64 (pow.f64 b 4) (*.f64 -4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 b 8) (*.f64 (*.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3))))) (fma.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) (neg.f64 (pow.f64 b 4))))) (+.f64 (pow.f64 b 12) (*.f64 64 (pow.f64 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 b 4) (*.f64 -4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))))) (-.f64 (pow.f64 b 8) (*.f64 16 (pow.f64 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b 12) (*.f64 64 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(pow.f64 b 12) (*.f64 64 (pow.f64 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) 3)))) (neg.f64 (+.f64 (pow.f64 b 8) (*.f64 (*.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3))))) (fma.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) (neg.f64 (pow.f64 b 4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 b 8) (*.f64 16 (pow.f64 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) 2)))) (neg.f64 (+.f64 (pow.f64 b 4) (*.f64 -4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 16 (pow.f64 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) 2) (neg.f64 (pow.f64 b 8))) (fma.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) (neg.f64 (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) (pow.f64 b 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) (pow.f64 b 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) (pow.f64 b 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) (pow.f64 b 4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) (pow.f64 b 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) (pow.f64 b 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3))))))) (exp.f64 (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 4) (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3))))) (+.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 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3))))))) (+.f64 1 (expm1.f64 (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 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 (pow.f64 b 4)) (+.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 (+.f64 1 (expm1.f64 (pow.f64 b 4))) (+.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 cbrt.f64 (pow.f64 (fma.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) (pow.f64 b 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) (pow.f64 b 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) (pow.f64 b 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3))))) (pow.f64 b 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 b 4) (*.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b b) (*.f64 b b) (*.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) 4 (pow.f64 b 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 b 8)) (cbrt.f64 (pow.f64 b 4)) (*.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 16 (pow.f64 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) 2))) (cbrt.f64 (*.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))))) (pow.f64 b 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (hypot.f64 (*.f64 b (sqrt.f64 (+.f64 a 3))) (*.f64 a (sqrt.f64 (-.f64 1 a))))) (*.f64 2 (hypot.f64 (*.f64 b (sqrt.f64 (+.f64 a 3))) (*.f64 a (sqrt.f64 (-.f64 1 a))))) (pow.f64 b 4))))))

simplify79.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

119 → 100

Calls

Call 1

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

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

localize19.0ms (0.2%)

Local error

Found 8 expressions with local error:

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

Compiler

Compiled 48 to 30 computations (37.5% saved)

series4.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite93.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

803×	`prod-diff_binary64`
575×	`fma-def_binary64`
552×	`log-prod_binary64`
304×	`fma-neg_binary64`
208×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	50
1	258	44
2	3552	44

Stop Event

1×	node limit

Counts

4 → 234

Calls

Call 1

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

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

simplify75.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

857×	`fma-neg_binary64`
729×	`cancel-sign-sub-inv_binary64`
721×	`fma-def_binary64`
713×	`distribute-rgt-neg-in_binary64`
692×	`associate-r_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	23	496
1	62	475
2	139	444
3	397	409
4	1181	403
5	3923	403
6	7805	403

Stop Event

1×	node limit

Counts

282 → 259

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 30 to 15 computations (50% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite46.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

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

Outputs

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

simplify186.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

25 → 18

Calls

Call 1

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

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

localize76.0ms (0.8%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (/.f64 (.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4)) (-.f64 (pow.f64 a 4) (pow.f64 b 4))) (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (.f64 (+.f64 a b) (-.f64 a b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
	0.0b	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
	0.0b	(-.f64 (+.f64 (/.f64 (.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4)) (-.f64 (pow.f64 a 4) (pow.f64 b 4))) (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (.f64 (+.f64 a b) (-.f64 a b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
	0.0b	(+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 3 a)))
✓	0.2b	(*.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 b) (-.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a b)))
	0.7b	(.f64 (.f64 b b) (+.f64 3 a))
✓	40.4b	(/.f64 (.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4)) (-.f64 (pow.f64 a 4) (pow.f64 b 4))) (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (.f64 (+.f64 a b) (-.f64 a b))))

Compiler

Compiled 252 to 115 computations (54.4% saved)

series19.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
5.0ms	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 b) (-.f64 a b)) (.f64 (+.f64 a b) (-.f64 a b))))
2.0ms	a	@	inf	(*.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4)) (-.f64 (pow.f64 a 4) (pow.f64 b 4)))
2.0ms	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 b) (-.f64 a b)) (.f64 (+.f64 a b) (-.f64 a b))))
1.0ms	a	@	inf	(.f64 (.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a 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 b) (-.f64 a b)) (.f64 (+.f64 a b) (-.f64 a b))))

rewrite92.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

834×	`log-prod_binary64`
501×	`fma-def_binary64`
262×	`expm1-udef_binary64`
262×	`log1p-udef_binary64`
252×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	54
1	309	51
2	4750	51

Stop Event

1×	node limit

Counts

3 → 103

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

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

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

Outputs

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

simplify62.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

780×	`distribute-rgt-in_binary64`
741×	`distribute-lft-in_binary64`
357×	`fma-def_binary64`
287×	`times-frac_binary64`
218×	`associate-+r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	169	1470
1	699	1026
2	4417	906

Stop Event

1×	node limit

Counts

175 → 149

Calls

Call 1

Inputs
(pow.f64 b 4)
(+.f64 (.f64 -1 (.f64 a (+.f64 (.f64 2 (pow.f64 b 3)) (.f64 -2 (pow.f64 b 3))))) (pow.f64 b 4))
(+.f64 (.f64 -1 (.f64 a (+.f64 (.f64 2 (pow.f64 b 3)) (.f64 -2 (pow.f64 b 3))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 (.f64 2 (pow.f64 b 3)) (.f64 -2 (pow.f64 b 3))) 2) (pow.f64 b 4))) (+.f64 (.f64 2 (pow.f64 b 2)) (*.f64 -4 (pow.f64 b 2)))))) (pow.f64 b 4)))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 3)) (.f64 -2 (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 (.f64 2 (pow.f64 b 3)) (.f64 -2 (pow.f64 b 3))) 2) (pow.f64 b 4))) (+.f64 (.f64 2 (pow.f64 b 2)) (.f64 -4 (pow.f64 b 2))))) (pow.f64 b 4))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 3)) (.f64 -2 (pow.f64 b 3))) (+.f64 (.f64 2 (pow.f64 b 2)) (.f64 -4 (pow.f64 b 2)))) (pow.f64 b 4))) (+.f64 (.f64 -2 b) (.f64 2 b)))))) (+.f64 (.f64 -1 (.f64 a (+.f64 (.f64 2 (pow.f64 b 3)) (.f64 -2 (pow.f64 b 3))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 (.f64 2 (pow.f64 b 3)) (.f64 -2 (pow.f64 b 3))) 2) (pow.f64 b 4))) (+.f64 (.f64 2 (pow.f64 b 2)) (.f64 -4 (pow.f64 b 2)))))) (pow.f64 b 4))))
(pow.f64 a 4)
(+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 -2 b) (.f64 2 b)))) (pow.f64 a 4))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) (+.f64 (.f64 -1 (pow.f64 (+.f64 (.f64 -2 b) (.f64 2 b)) 2)) (.f64 -4 (pow.f64 b 2)))) (pow.f64 a 2))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 -2 b) (*.f64 2 b)))) (pow.f64 a 4)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) (+.f64 (.f64 -1 (pow.f64 (+.f64 (.f64 -2 b) (.f64 2 b)) 2)) (.f64 -4 (pow.f64 b 2)))) (pow.f64 a 2))) (+.f64 (.f64 -1 (.f64 a (+.f64 (.f64 2 (pow.f64 b 3)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) (.f64 -4 (pow.f64 b 2))) (+.f64 (.f64 -2 b) (.f64 2 b)))) (+.f64 (.f64 -2 (pow.f64 b 3)) (.f64 -1 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) (+.f64 (.f64 -1 (pow.f64 (+.f64 (.f64 -2 b) (.f64 2 b)) 2)) (.f64 -4 (pow.f64 b 2)))) (+.f64 (.f64 -2 b) (.f64 2 b))))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 -2 b) (.f64 2 b)))) (pow.f64 a 4))))
(pow.f64 a 4)
(+.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 -2 b) (*.f64 2 b))) (pow.f64 a 4))
(+.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 -2 b) (.f64 2 b))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) (+.f64 (.f64 -1 (pow.f64 (+.f64 (.f64 -2 b) (.f64 2 b)) 2)) (.f64 -4 (pow.f64 b 2)))) (pow.f64 a 2))) (pow.f64 a 4)))
(+.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 -2 b) (.f64 2 b))) (+.f64 (.f64 a (+.f64 (.f64 2 (pow.f64 b 3)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) (.f64 -4 (pow.f64 b 2))) (+.f64 (.f64 -2 b) (.f64 2 b)))) (+.f64 (.f64 -2 (pow.f64 b 3)) (.f64 -1 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) (+.f64 (.f64 -1 (pow.f64 (+.f64 (.f64 -2 b) (.f64 2 b)) 2)) (.f64 -4 (pow.f64 b 2)))) (+.f64 (.f64 -2 b) (.f64 2 b)))))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) (+.f64 (.f64 -1 (pow.f64 (+.f64 (.f64 -2 b) (.f64 2 b)) 2)) (.f64 -4 (pow.f64 b 2)))) (pow.f64 a 2))) (pow.f64 a 4))))
(pow.f64 a 4)
(+.f64 (.f64 -1 (.f64 b (+.f64 (.f64 2 (pow.f64 a 3)) (.f64 -2 (pow.f64 a 3))))) (pow.f64 a 4))
(+.f64 (.f64 -1 (.f64 b (+.f64 (.f64 2 (pow.f64 a 3)) (.f64 -2 (pow.f64 a 3))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 2)) (.f64 -1 (/.f64 (pow.f64 (+.f64 (.f64 2 (pow.f64 a 3)) (*.f64 -2 (pow.f64 a 3))) 2) (pow.f64 a 4))))) (pow.f64 b 2))) (pow.f64 a 4)))
(+.f64 (.f64 -1 (.f64 b (+.f64 (.f64 2 (pow.f64 a 3)) (.f64 -2 (pow.f64 a 3))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 2)) (.f64 -1 (/.f64 (pow.f64 (+.f64 (.f64 2 (pow.f64 a 3)) (.f64 -2 (pow.f64 a 3))) 2) (pow.f64 a 4))))) (pow.f64 b 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -2 a) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 (.f64 2 (pow.f64 a 3)) (.f64 -2 (pow.f64 a 3))) 2) (pow.f64 a 4))) (.f64 -4 (pow.f64 a 2)))) (+.f64 (.f64 2 (pow.f64 a 3)) (.f64 -2 (pow.f64 a 3)))) (pow.f64 a 4))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 2))) (+.f64 (.f64 2 (pow.f64 a 3)) (.f64 -2 (pow.f64 a 3)))) (pow.f64 a 4))) (.f64 2 a)))) (pow.f64 b 3))) (pow.f64 a 4))))
(pow.f64 b 4)
(+.f64 (.f64 -1 (.f64 (pow.f64 b 3) (+.f64 (.f64 -2 a) (.f64 2 a)))) (pow.f64 b 4))
(+.f64 (.f64 -1 (.f64 (pow.f64 b 3) (+.f64 (.f64 -2 a) (.f64 2 a)))) (+.f64 (pow.f64 b 4) (.f64 -1 (.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 (.f64 -2 a) (.f64 2 a)) 2)) (+.f64 (.f64 2 (pow.f64 a 2)) (*.f64 -4 (pow.f64 a 2)))) (pow.f64 b 2)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 b 3) (+.f64 (.f64 -2 a) (.f64 2 a)))) (+.f64 (.f64 -1 (.f64 b (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -2 a) (.f64 2 a)) (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 2))))) (+.f64 (.f64 2 (pow.f64 a 3)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 (.f64 -2 a) (.f64 2 a)) 2)) (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 2)))) (+.f64 (.f64 -2 a) (.f64 2 a)))) (.f64 -2 (pow.f64 a 3))))))) (+.f64 (pow.f64 b 4) (.f64 -1 (.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 (.f64 -2 a) (.f64 2 a)) 2)) (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 2)))) (pow.f64 b 2))))))
(pow.f64 b 4)
(+.f64 (.f64 (+.f64 (.f64 -2 a) (*.f64 2 a)) (pow.f64 b 3)) (pow.f64 b 4))
(+.f64 (.f64 (+.f64 (.f64 -2 a) (.f64 2 a)) (pow.f64 b 3)) (+.f64 (pow.f64 b 4) (.f64 -1 (.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 (.f64 -2 a) (.f64 2 a)) 2)) (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 2)))) (pow.f64 b 2)))))
(+.f64 (.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -2 a) (.f64 2 a)) (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 2))))) (+.f64 (.f64 2 (pow.f64 a 3)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 (.f64 -2 a) (.f64 2 a)) 2)) (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 2)))) (+.f64 (.f64 -2 a) (.f64 2 a)))) (.f64 -2 (pow.f64 a 3))))) b) (+.f64 (.f64 (+.f64 (.f64 -2 a) (.f64 2 a)) (pow.f64 b 3)) (+.f64 (pow.f64 b 4) (.f64 -1 (.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 (.f64 -2 a) (.f64 2 a)) 2)) (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 2)))) (pow.f64 b 2))))))
(pow.f64 b 4)
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 3)) (*.f64 -2 (pow.f64 b 3))) a) (pow.f64 b 4))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 3)) (.f64 -2 (pow.f64 b 3))) a) (+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 2 (pow.f64 b 2)) (.f64 -4 (pow.f64 b 2)))) (pow.f64 b 4)))
(+.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 -2 b) (.f64 2 b))) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 3)) (.f64 -2 (pow.f64 b 3))) a) (+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 2 (pow.f64 b 2)) (*.f64 -4 (pow.f64 b 2)))) (pow.f64 b 4))))
(pow.f64 a 4)
(+.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 -2 b) (*.f64 2 b))) (pow.f64 a 4))
(+.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 -2 b) (.f64 2 b))) (+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 2 (pow.f64 b 2)) (.f64 -4 (pow.f64 b 2)))) (pow.f64 a 4)))
(+.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 -2 b) (.f64 2 b))) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 3)) (.f64 -2 (pow.f64 b 3))) a) (+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 2 (pow.f64 b 2)) (*.f64 -4 (pow.f64 b 2)))) (pow.f64 a 4))))
(pow.f64 a 4)
(+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 -2 b) (.f64 2 b)))) (pow.f64 a 4))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 -2 b) (.f64 2 b)))) (+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 2 (pow.f64 b 2)) (*.f64 -4 (pow.f64 b 2)))) (pow.f64 a 4)))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 -2 b) (.f64 2 b)))) (+.f64 (.f64 -1 (.f64 a (+.f64 (.f64 2 (pow.f64 b 3)) (.f64 -2 (pow.f64 b 3))))) (+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 2 (pow.f64 b 2)) (*.f64 -4 (pow.f64 b 2)))) (pow.f64 a 4))))
(pow.f64 a 4)
(+.f64 (.f64 b (+.f64 (.f64 2 (pow.f64 a 3)) (*.f64 -2 (pow.f64 a 3)))) (pow.f64 a 4))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 2)))) (+.f64 (.f64 b (+.f64 (.f64 2 (pow.f64 a 3)) (.f64 -2 (pow.f64 a 3)))) (pow.f64 a 4)))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 2)))) (+.f64 (.f64 b (+.f64 (.f64 2 (pow.f64 a 3)) (.f64 -2 (pow.f64 a 3)))) (+.f64 (.f64 (+.f64 (.f64 -2 a) (*.f64 2 a)) (pow.f64 b 3)) (pow.f64 a 4))))
(pow.f64 b 4)
(+.f64 (.f64 (+.f64 (.f64 -2 a) (*.f64 2 a)) (pow.f64 b 3)) (pow.f64 b 4))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 2)))) (+.f64 (.f64 (+.f64 (.f64 -2 a) (.f64 2 a)) (pow.f64 b 3)) (pow.f64 b 4)))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 2)))) (+.f64 (.f64 b (+.f64 (.f64 2 (pow.f64 a 3)) (.f64 -2 (pow.f64 a 3)))) (+.f64 (.f64 (+.f64 (.f64 -2 a) (*.f64 2 a)) (pow.f64 b 3)) (pow.f64 b 4))))
(pow.f64 b 4)
(+.f64 (.f64 -1 (.f64 (pow.f64 b 3) (+.f64 (.f64 -2 a) (.f64 2 a)))) (pow.f64 b 4))
(+.f64 (.f64 -1 (.f64 (pow.f64 b 3) (+.f64 (.f64 -2 a) (.f64 2 a)))) (+.f64 (.f64 (pow.f64 b 2) (+.f64 (.f64 2 (pow.f64 a 2)) (*.f64 -4 (pow.f64 a 2)))) (pow.f64 b 4)))
(+.f64 (.f64 -1 (.f64 (pow.f64 b 3) (+.f64 (.f64 -2 a) (.f64 2 a)))) (+.f64 (.f64 -1 (.f64 b (+.f64 (.f64 2 (pow.f64 a 3)) (.f64 -2 (pow.f64 a 3))))) (+.f64 (.f64 (pow.f64 b 2) (+.f64 (.f64 2 (pow.f64 a 2)) (*.f64 -4 (pow.f64 a 2)))) (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 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 -1 (.f64 a (+.f64 (.f64 2 (pow.f64 b 3)) (.f64 -2 (pow.f64 b 3))))) (pow.f64 b 4))
(pow.f64 b 4)
(+.f64 (.f64 -1 (.f64 a (+.f64 (.f64 2 (pow.f64 b 3)) (.f64 -2 (pow.f64 b 3))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 (.f64 2 (pow.f64 b 3)) (.f64 -2 (pow.f64 b 3))) 2) (pow.f64 b 4))) (+.f64 (.f64 2 (pow.f64 b 2)) (*.f64 -4 (pow.f64 b 2)))))) (pow.f64 b 4)))
(fma.f64 -1 (.f64 a (.f64 (pow.f64 b 3) 0)) (fma.f64 -1 (.f64 (.f64 a a) (fma.f64 -1 (/.f64 (pow.f64 (.f64 (pow.f64 b 3) 0) 2) (pow.f64 b 4)) (.f64 (*.f64 b b) -2))) (pow.f64 b 4)))
(-.f64 (pow.f64 b 4) (.f64 (.f64 a a) (fma.f64 (*.f64 b b) -2 (/.f64 0 (pow.f64 b 4)))))
(fma.f64 (.f64 a (.f64 a 2)) (*.f64 b b) (pow.f64 b 4))
(+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 3)) (.f64 -2 (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 (.f64 2 (pow.f64 b 3)) (.f64 -2 (pow.f64 b 3))) 2) (pow.f64 b 4))) (+.f64 (.f64 2 (pow.f64 b 2)) (.f64 -4 (pow.f64 b 2))))) (pow.f64 b 4))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 3)) (.f64 -2 (pow.f64 b 3))) (+.f64 (.f64 2 (pow.f64 b 2)) (.f64 -4 (pow.f64 b 2)))) (pow.f64 b 4))) (+.f64 (.f64 -2 b) (.f64 2 b)))))) (+.f64 (.f64 -1 (.f64 a (+.f64 (.f64 2 (pow.f64 b 3)) (.f64 -2 (pow.f64 b 3))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 (.f64 2 (pow.f64 b 3)) (.f64 -2 (pow.f64 b 3))) 2) (pow.f64 b 4))) (+.f64 (.f64 2 (pow.f64 b 2)) (.f64 -4 (pow.f64 b 2)))))) (pow.f64 b 4))))
(fma.f64 -1 (.f64 a (.f64 (pow.f64 b 3) 0)) (fma.f64 -1 (.f64 (.f64 a a) (fma.f64 -1 (/.f64 (pow.f64 (.f64 (pow.f64 b 3) 0) 2) (pow.f64 b 4)) (.f64 (*.f64 b b) -2))) (pow.f64 b 4)))
(-.f64 (pow.f64 b 4) (.f64 (.f64 a a) (fma.f64 (*.f64 b b) -2 (/.f64 0 (pow.f64 b 4)))))
(fma.f64 (.f64 a (.f64 a 2)) (*.f64 b b) (pow.f64 b 4))
(pow.f64 a 4)
(+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 -2 b) (.f64 2 b)))) (pow.f64 a 4))
(pow.f64 a 4)
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) (+.f64 (.f64 -1 (pow.f64 (+.f64 (.f64 -2 b) (.f64 2 b)) 2)) (.f64 -4 (pow.f64 b 2)))) (pow.f64 a 2))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 -2 b) (*.f64 2 b)))) (pow.f64 a 4)))
(fma.f64 -1 (.f64 (.f64 a a) (fma.f64 2 (.f64 b b) (fma.f64 -1 (pow.f64 (.f64 b 0) 2) (.f64 (.f64 b b) -4)))) (fma.f64 -1 (.f64 (pow.f64 a 3) (.f64 b 0)) (pow.f64 a 4)))
(fma.f64 (neg.f64 (+.f64 (.f64 -2 (.f64 b b)) 0)) (*.f64 a a) (pow.f64 a 4))
(fma.f64 (.f64 b (.f64 b 2)) (*.f64 a a) (pow.f64 a 4))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) (+.f64 (.f64 -1 (pow.f64 (+.f64 (.f64 -2 b) (.f64 2 b)) 2)) (.f64 -4 (pow.f64 b 2)))) (pow.f64 a 2))) (+.f64 (.f64 -1 (.f64 a (+.f64 (.f64 2 (pow.f64 b 3)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) (.f64 -4 (pow.f64 b 2))) (+.f64 (.f64 -2 b) (.f64 2 b)))) (+.f64 (.f64 -2 (pow.f64 b 3)) (.f64 -1 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) (+.f64 (.f64 -1 (pow.f64 (+.f64 (.f64 -2 b) (.f64 2 b)) 2)) (.f64 -4 (pow.f64 b 2)))) (+.f64 (.f64 -2 b) (.f64 2 b))))))))) (+.f64 (.f64 -1 (.f64 (pow.f64 a 3) (+.f64 (.f64 -2 b) (.f64 2 b)))) (pow.f64 a 4))))
(fma.f64 -1 (.f64 (.f64 a a) (fma.f64 2 (.f64 b b) (fma.f64 -1 (pow.f64 (.f64 b 0) 2) (.f64 (.f64 b b) -4)))) (fma.f64 -1 (.f64 (pow.f64 a 3) (.f64 b 0)) (pow.f64 a 4)))
(fma.f64 (neg.f64 (+.f64 (.f64 -2 (.f64 b b)) 0)) (*.f64 a a) (pow.f64 a 4))
(fma.f64 (.f64 b (.f64 b 2)) (*.f64 a a) (pow.f64 a 4))
(pow.f64 a 4)
(+.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 -2 b) (*.f64 2 b))) (pow.f64 a 4))
(pow.f64 a 4)
(+.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 -2 b) (.f64 2 b))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) (+.f64 (.f64 -1 (pow.f64 (+.f64 (.f64 -2 b) (.f64 2 b)) 2)) (.f64 -4 (pow.f64 b 2)))) (pow.f64 a 2))) (pow.f64 a 4)))
(fma.f64 -1 (.f64 (.f64 a a) (fma.f64 2 (.f64 b b) (fma.f64 -1 (pow.f64 (.f64 b 0) 2) (.f64 (.f64 b b) -4)))) (fma.f64 -1 (.f64 (pow.f64 a 3) (.f64 b 0)) (pow.f64 a 4)))
(fma.f64 (neg.f64 (+.f64 (.f64 -2 (.f64 b b)) 0)) (*.f64 a a) (pow.f64 a 4))
(fma.f64 (.f64 b (.f64 b 2)) (*.f64 a a) (pow.f64 a 4))
(+.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 -2 b) (.f64 2 b))) (+.f64 (.f64 a (+.f64 (.f64 2 (pow.f64 b 3)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) (.f64 -4 (pow.f64 b 2))) (+.f64 (.f64 -2 b) (.f64 2 b)))) (+.f64 (.f64 -2 (pow.f64 b 3)) (.f64 -1 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) (+.f64 (.f64 -1 (pow.f64 (+.f64 (.f64 -2 b) (.f64 2 b)) 2)) (.f64 -4 (pow.f64 b 2)))) (+.f64 (.f64 -2 b) (.f64 2 b)))))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) (+.f64 (.f64 -1 (pow.f64 (+.f64 (.f64 -2 b) (.f64 2 b)) 2)) (.f64 -4 (pow.f64 b 2)))) (pow.f64 a 2))) (pow.f64 a 4))))
(fma.f64 -1 (.f64 (.f64 a a) (fma.f64 2 (.f64 b b) (fma.f64 -1 (pow.f64 (.f64 b 0) 2) (.f64 (.f64 b b) -4)))) (fma.f64 -1 (.f64 (pow.f64 a 3) (.f64 b 0)) (pow.f64 a 4)))
(fma.f64 (neg.f64 (+.f64 (.f64 -2 (.f64 b b)) 0)) (*.f64 a a) (pow.f64 a 4))
(fma.f64 (.f64 b (.f64 b 2)) (*.f64 a a) (pow.f64 a 4))
(pow.f64 a 4)
(+.f64 (.f64 -1 (.f64 b (+.f64 (.f64 2 (pow.f64 a 3)) (.f64 -2 (pow.f64 a 3))))) (pow.f64 a 4))
(pow.f64 a 4)
(+.f64 (.f64 -1 (.f64 b (+.f64 (.f64 2 (pow.f64 a 3)) (.f64 -2 (pow.f64 a 3))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 2)) (.f64 -1 (/.f64 (pow.f64 (+.f64 (.f64 2 (pow.f64 a 3)) (*.f64 -2 (pow.f64 a 3))) 2) (pow.f64 a 4))))) (pow.f64 b 2))) (pow.f64 a 4)))
(fma.f64 -1 (.f64 (.f64 a a) (fma.f64 2 (.f64 b b) (fma.f64 -1 (pow.f64 (.f64 b 0) 2) (.f64 (.f64 b b) -4)))) (fma.f64 -1 (.f64 (pow.f64 a 3) (.f64 b 0)) (pow.f64 a 4)))
(fma.f64 (neg.f64 (+.f64 (.f64 -2 (.f64 b b)) 0)) (*.f64 a a) (pow.f64 a 4))
(fma.f64 (.f64 b (.f64 b 2)) (*.f64 a a) (pow.f64 a 4))
(+.f64 (.f64 -1 (.f64 b (+.f64 (.f64 2 (pow.f64 a 3)) (.f64 -2 (pow.f64 a 3))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 2)) (.f64 -1 (/.f64 (pow.f64 (+.f64 (.f64 2 (pow.f64 a 3)) (.f64 -2 (pow.f64 a 3))) 2) (pow.f64 a 4))))) (pow.f64 b 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -2 a) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 (+.f64 (.f64 2 (pow.f64 a 3)) (.f64 -2 (pow.f64 a 3))) 2) (pow.f64 a 4))) (.f64 -4 (pow.f64 a 2)))) (+.f64 (.f64 2 (pow.f64 a 3)) (.f64 -2 (pow.f64 a 3)))) (pow.f64 a 4))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 2))) (+.f64 (.f64 2 (pow.f64 a 3)) (.f64 -2 (pow.f64 a 3)))) (pow.f64 a 4))) (.f64 2 a)))) (pow.f64 b 3))) (pow.f64 a 4))))
(fma.f64 -1 (.f64 (.f64 a a) (fma.f64 2 (.f64 b b) (fma.f64 -1 (pow.f64 (.f64 b 0) 2) (.f64 (.f64 b b) -4)))) (fma.f64 -1 (.f64 (pow.f64 a 3) (.f64 b 0)) (pow.f64 a 4)))
(fma.f64 (neg.f64 (+.f64 (.f64 -2 (.f64 b b)) 0)) (*.f64 a a) (pow.f64 a 4))
(fma.f64 (.f64 b (.f64 b 2)) (*.f64 a a) (pow.f64 a 4))
(pow.f64 b 4)
(+.f64 (.f64 -1 (.f64 (pow.f64 b 3) (+.f64 (.f64 -2 a) (.f64 2 a)))) (pow.f64 b 4))
(pow.f64 b 4)
(+.f64 (.f64 -1 (.f64 (pow.f64 b 3) (+.f64 (.f64 -2 a) (.f64 2 a)))) (+.f64 (pow.f64 b 4) (.f64 -1 (.f64 (+.f64 (.f64 -1 (pow.f64 (+.f64 (.f64 -2 a) (.f64 2 a)) 2)) (+.f64 (.f64 2 (pow.f64 a 2)) (*.f64 -4 (pow.f64 a 2)))) (pow.f64 b 2)))))
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(+.f64 (+.f64 (pow.f64 b 8) (pow.f64 a 8)) (.f64 -2 (.f64 (pow.f64 b 4) (pow.f64 a 4))))
(+.f64 (pow.f64 b 8) (fma.f64 -2 (*.f64 (pow.f64 b 4) (pow.f64 a 4)) (pow.f64 a 8)))
(+.f64 (pow.f64 b 8) (fma.f64 (*.f64 -2 (pow.f64 a 4)) (pow.f64 b 4) (pow.f64 a 8)))

eval393.0ms (3.9%)

Compiler: Compiled 19738 to 12344 computations (37.5% saved)

prune100.0ms (1%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	603	10	613
Fresh	1	2	3
Picked	1	0	1
Done	2	2	4
Total	607	14	621

Error

Counts

621 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	11.3b	(-.f64 (.f64 b (.f64 b (fma.f64 b b 12))) 1)
	38.4b	(-.f64 (+.f64 (/.f64 (pow.f64 b 8) (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (.f64 (+.f64 a b) (-.f64 a b)))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 3 a))))) 1)
▶	13.6b	(-.f64 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4))) 1)
✓	52.6b	(pow.f64 a 4)
	24.9b	-1
	23.9b	(-.f64 (.f64 12 (.f64 b b)) 1)
	49.3b	(pow.f64 b 4)
▶	13.5b	(-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 b (.f64 a (+.f64 4 (*.f64 2 a)))))) 1)
	24.1b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 -4 a))) 1)
	13.6b	(-.f64 (fma.f64 (.f64 (.f64 a (+.f64 a -4)) a) a (.f64 a (.f64 a 4))) 1)
✓	13.6b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
▶	24.1b	(-.f64 (.f64 4 (.f64 a a)) 1)
▶	14.9b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)
	13.5b	(-.f64 (+.f64 (.f64 a (.f64 a 4)) (*.f64 (+.f64 a -4) (pow.f64 a 3))) 1)

Compiler

Compiled 379 to 260 computations (31.4% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 33 to 19 computations (42.4% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite53.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

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

Outputs

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

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

simplify178.0ms (1.8%)

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))

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 11 computations (45% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite43.0ms (0.4%)

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))))))))

simplify176.0ms (1.8%)

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%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 33 to 15 computations (54.5% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite67.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

902×	`pow1_binary64`
848×	`add-log-exp_binary64`
846×	`log1p-expm1-u_binary64`
846×	`expm1-log1p-u_binary64`
832×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	27
1	182	23
2	2379	23

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

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

Outputs

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

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

simplify51.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

623×	`distribute-rgt-neg-in_binary64`
586×	`fma-def_binary64`
479×	`distribute-lft-neg-in_binary64`
472×	`distribute-rgt-in_binary64`
413×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	237
1	29	237
2	61	225
3	148	225
4	410	225
5	1474	225
6	4330	225

Stop Event

1×	node limit

Counts

83 → 68

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

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

localize44.0ms (0.4%)

Local error

Found 8 expressions with local error:

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

Compiler

Compiled 120 to 77 computations (35.8% saved)

series8.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite71.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	218	25
2	2872	25

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

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

Outputs

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

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

simplify259.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

822×	`fma-def_binary64`
716×	`sqr-pow_binary64`
606×	`distribute-rgt-in_binary64`
551×	`associate-l_binary64`
520×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	672
1	69	588
2	204	588
3	495	588
4	1981	588
5	3296	588
6	4036	588
7	5656	588
8	5837	588
9	5972	588
10	6128	588
11	6298	588
12	6496	588
13	6720	588
14	6966	588
15	7217	588
16	7490	588
17	7776	588

Stop Event

1×	node limit

Counts

109 → 75

Calls

Call 1

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

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

localize20.0ms (0.2%)

Local error

Found 8 expressions with local error:

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

Compiler

Compiled 45 to 30 computations (33.3% saved)

series4.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite85.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

464×	`prod-diff_binary64`
458×	`log-prod_binary64`
343×	`exp-prod_binary64`
310×	`pow-prod-down_binary64`
261×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	48
1	220	48
2	2735	48

Stop Event

1×	node limit

Counts

4 → 162

Calls

Call 1

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

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

simplify72.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

803×	`unswap-sqr_binary64`
742×	`fma-def_binary64`
411×	`fma-neg_binary64`
367×	`distribute-rgt-neg-in_binary64`
302×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	29	563
1	80	527
2	178	475
3	416	440
4	1228	434
5	2984	434
6	6204	434

Stop Event

1×	node limit

Counts

210 → 195

Calls

Call 1

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

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

eval209.0ms (2.1%)

Compiler: Compiled 11060 to 7299 computations (34% saved)

prune81.0ms (0.8%)

Pruning

16 alts after pruning (12 fresh and 4 done)

	Pruned	Kept	Total
New	511	7	518
Fresh	2	5	7
Picked	1	0	1
Done	2	4	6
Total	516	16	532

Error

Counts

532 → 16

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.7b	(-.f64 (.f64 a (.f64 a (*.f64 a (+.f64 a -4)))) 1)
	23.9b	(-.f64 (.f64 b (.f64 12 b)) 1)
	13.6b	(-.f64 (.f64 a (.f64 a (+.f64 4 (*.f64 a (+.f64 a -4))))) 1)
▶	23.9b	(-.f64 (.f64 12 (.f64 b b)) 1)
	49.3b	(pow.f64 b 4)
	24.1b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 -4 a))) 1)
	13.6b	(-.f64 (fma.f64 (.f64 (.f64 a (+.f64 a -4)) a) a (.f64 a (.f64 a 4))) 1)
	13.5b	(-.f64 (+.f64 (.f64 a (.f64 a 4)) (*.f64 (+.f64 a -4) (pow.f64 a 3))) 1)
▶	11.3b	(-.f64 (.f64 b (+.f64 (.f64 12 b) (pow.f64 b 3))) 1)
	24.9b	-1
✓	11.3b	(-.f64 (.f64 b (.f64 b (fma.f64 b b 12))) 1)
▶	15.1b	(-.f64 (.f64 a (.f64 a (*.f64 a a))) 1)
✓	52.6b	(pow.f64 a 4)
✓	24.1b	(-.f64 (.f64 4 (.f64 a a)) 1)
▶	11.4b	(-.f64 (+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 12 (*.f64 b b))) 1)
✓	14.9b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)

Compiler

Compiled 322 to 228 computations (29.2% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 b (+.f64 (.f64 12 b) (pow.f64 b 3)))
	0.0b	(+.f64 (*.f64 12 b) (pow.f64 b 3))
✓	0.0b	(+.f64 (*.f64 12 b) (pow.f64 b 3))
✓	0.2b	(.f64 b (+.f64 (.f64 12 b) (pow.f64 b 3)))

Compiler

Compiled 39 to 28 computations (28.2% saved)

series4.0ms (0%)

Counts

2 → 18

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	b	@	-inf	(.f64 b (+.f64 (.f64 12 b) (pow.f64 b 3)))
1.0ms	b	@	0	(.f64 b (+.f64 (.f64 12 b) (pow.f64 b 3)))
1.0ms	b	@	inf	(.f64 b (+.f64 (.f64 12 b) (pow.f64 b 3)))
0.0ms	b	@	0	(+.f64 (*.f64 12 b) (pow.f64 b 3))
0.0ms	b	@	inf	(+.f64 (*.f64 12 b) (pow.f64 b 3))

rewrite64.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

920×	`pow1_binary64`
866×	`add-log-exp_binary64`
866×	`log1p-expm1-u_binary64`
866×	`expm1-log1p-u_binary64`
845×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	186	19
2	2430	19

Stop Event

1×	node limit

Counts

2 → 62

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 12 (*.f64 b b)) (pow.f64 b 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 b 4) (*.f64 12 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 12 (*.f64 b b)) 1) (*.f64 (pow.f64 b 4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 b (fma.f64 b 12 (pow.f64 b 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 12 (*.f64 b b)) 3) (pow.f64 (pow.f64 b 4) 3)) (+.f64 (*.f64 (*.f64 12 (*.f64 b b)) (*.f64 12 (*.f64 b b))) (-.f64 (*.f64 (pow.f64 b 4) (pow.f64 b 4)) (*.f64 (*.f64 12 (*.f64 b b)) (pow.f64 b 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 12 (*.f64 b b)) (*.f64 12 (*.f64 b b))) (*.f64 (pow.f64 b 4) (pow.f64 b 4))) (-.f64 (*.f64 12 (*.f64 b b)) (pow.f64 b 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (pow.f64 b 3) 1728) (pow.f64 b 9)) b) (+.f64 (*.f64 (*.f64 b b) 144) (-.f64 (pow.f64 b 6) (*.f64 12 (pow.f64 b 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (*.f64 b b) 144) (pow.f64 b 6)) b) (-.f64 (*.f64 b 12) (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b (+.f64 (*.f64 (pow.f64 b 3) 1728) (pow.f64 b 9))) (+.f64 (*.f64 (*.f64 b b) 144) (-.f64 (pow.f64 b 6) (*.f64 12 (pow.f64 b 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b (-.f64 (*.f64 (*.f64 b b) 144) (pow.f64 b 6))) (-.f64 (*.f64 b 12) (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b (fma.f64 b 12 (pow.f64 b 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 b (fma.f64 b 12 (pow.f64 b 3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 b (fma.f64 b 12 (pow.f64 b 3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 b (fma.f64 b 12 (pow.f64 b 3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 b (fma.f64 b 12 (pow.f64 b 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 b) (fma.f64 b 12 (pow.f64 b 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 b (fma.f64 b 12 (pow.f64 b 3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b 12 (pow.f64 b 3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 b 12 (pow.f64 b 3)) 3) (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 b (fma.f64 b 12 (pow.f64 b 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 b (fma.f64 b 12 (pow.f64 b 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 b (fma.f64 b 12 (pow.f64 b 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b (*.f64 b 12) (pow.f64 b 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b 12) b (pow.f64 b 4))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 b 12 (pow.f64 b 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 b b) 144) (-.f64 (*.f64 b 12) (pow.f64 b 3))) (/.f64 (pow.f64 b 6) (-.f64 (*.f64 b 12) (pow.f64 b 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (+.f64 12 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (+.f64 (*.f64 b b) 12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 b 12 (pow.f64 b 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 b 12 (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 b 12 (pow.f64 b 3))) (pow.f64 (cbrt.f64 (fma.f64 b 12 (pow.f64 b 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 b 12 (pow.f64 b 3))) 2) (cbrt.f64 (fma.f64 b 12 (pow.f64 b 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 b 12 (pow.f64 b 3))) (sqrt.f64 (fma.f64 b 12 (pow.f64 b 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 b 3) 1728) (pow.f64 b 9)) (/.f64 1 (+.f64 (*.f64 (*.f64 b b) 144) (-.f64 (pow.f64 b 6) (*.f64 12 (pow.f64 b 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (*.f64 b b) 144) (pow.f64 b 6)) (/.f64 1 (-.f64 (*.f64 b 12) (pow.f64 b 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 b b) 144) (-.f64 (pow.f64 b 6) (*.f64 12 (pow.f64 b 4)))) (+.f64 (*.f64 (pow.f64 b 3) 1728) (pow.f64 b 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 b 12) (pow.f64 b 3)) (-.f64 (*.f64 (*.f64 b b) 144) (pow.f64 b 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 b 3) 1728) (pow.f64 b 9)) (+.f64 (*.f64 (*.f64 b b) 144) (-.f64 (pow.f64 b 6) (*.f64 12 (pow.f64 b 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 b 3) 1728) (pow.f64 b 9)) (+.f64 (pow.f64 b 6) (-.f64 (*.f64 (*.f64 b b) 144) (*.f64 12 (pow.f64 b 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 b b) 144) (pow.f64 b 6)) (-.f64 (*.f64 b 12) (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 b 3) 1728) (pow.f64 b 9))) (neg.f64 (+.f64 (*.f64 (*.f64 b b) 144) (-.f64 (pow.f64 b 6) (*.f64 12 (pow.f64 b 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (*.f64 b b) 144) (pow.f64 b 6))) (neg.f64 (-.f64 (*.f64 b 12) (pow.f64 b 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 b 6) (*.f64 (*.f64 b b) 144)) (-.f64 (pow.f64 b 3) (*.f64 b 12)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 b 12 (pow.f64 b 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b 12 (pow.f64 b 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 b 12 (pow.f64 b 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 b 12 (pow.f64 b 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 b 12 (pow.f64 b 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 b 12 (pow.f64 b 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 b 12 (pow.f64 b 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 b 12 (pow.f64 b 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 b 12 (pow.f64 b 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 b 12 (pow.f64 b 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b 12 (pow.f64 b 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b (*.f64 b b) (*.f64 b 12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 12 b (pow.f64 b 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 b 12) (pow.f64 b 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 b 3) (*.f64 b 12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b b) b (*.f64 b 12))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 b 12)) 2) (cbrt.f64 (*.f64 b 12)) (pow.f64 b 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 b 12)) (sqrt.f64 (*.f64 b 12)) (pow.f64 b 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 b 3/2) (pow.f64 b 3/2) (*.f64 b 12))))))

simplify172.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	156
1	32	150
2	63	150
3	126	150
4	387	150
5	1820	150
6	2743	150
7	3146	150
8	3407	150
9	3718	150
10	4129	150
11	4721	150
12	5371	150
13	6147	150
14	6530	150
15	6860	150
16	7134	150
17	7306	150
18	7394	150

Stop Event

1×	node limit

Counts

80 → 71

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 11 computations (45% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite45.0ms (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))))))))

simplify178.0ms (1.8%)

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))

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 28 to 8 computations (71.4% saved)

series5.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	a	@	-inf	(.f64 a (.f64 a (*.f64 a a)))
0.0ms	a	@	0	(.f64 a (.f64 a (*.f64 a a)))
0.0ms	a	@	0	(.f64 a (.f64 a a))
0.0ms	a	@	-inf	(.f64 a (.f64 a a))
0.0ms	a	@	inf	(.f64 a (.f64 a (*.f64 a a)))

rewrite48.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	11
1	102	8
2	1123	8

Stop Event

1×	node limit

Counts

2 → 39

Calls

Call 1

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

Outputs

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

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

simplify155.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1078×	`sqr-pow_binary64`
761×	`associate-l_binary64`
545×	`associate-r_binary64`
529×	`*-commutative_binary64`
507×	`cube-prod_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	96
1	17	96
2	29	96
3	48	96
4	111	96
5	415	96
6	2716	96
7	2867	96
8	3130	96
9	3467	96
10	3860	96
11	4397	96
12	5396	96
13	6196	96
14	6696	96
15	7018	96
16	7287	96
17	7470	96
18	7561	96

Stop Event

1×	node limit

Counts

63 → 39

Calls

Call 1

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

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

localize17.0ms (0.2%)

Local error

Found 6 expressions with local error:

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

Compiler

Compiled 40 to 25 computations (37.5% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite60.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

805×	`pow1_binary64`
752×	`add-log-exp_binary64`
752×	`log1p-expm1-u_binary64`
752×	`expm1-log1p-u_binary64`
739×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	23
1	156	20
2	2063	20

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

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

Outputs

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

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

simplify138.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1246×	`distribute-rgt-in_binary64`
743×	`sqr-pow_binary64`
700×	`associate-l_binary64`
695×	`fma-def_binary64`
493×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	246
1	32	219
2	71	210
3	176	210
4	552	210
5	2661	210
6	3917	210
7	4647	210
8	4937	210
9	5252	210
10	5671	210
11	6350	210
12	6985	210

Stop Event

1×	node limit

Counts

60 → 45

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 6 expressions with local error:

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

Compiler

Compiled 48 to 16 computations (66.7% saved)

series7.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	b	@	inf	(+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 12 (*.f64 b b)))
0.0ms	b	@	0	(.f64 (.f64 b b) (*.f64 b b))
0.0ms	b	@	inf	(.f64 (.f64 b b) (*.f64 b b))
0.0ms	b	@	0	(+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 12 (*.f64 b b)))
0.0ms	b	@	-inf	(+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 12 (*.f64 b b)))

rewrite61.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

800×	`pow1_binary64`
753×	`add-log-exp_binary64`
753×	`log1p-expm1-u_binary64`
753×	`expm1-log1p-u_binary64`
735×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	158	15
2	2204	15

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

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

Outputs

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

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

simplify191.0ms (1.9%)

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	9	162
1	19	162
2	41	162
3	100	162
4	270	162
5	910	162
6	1835	162
7	2129	162
8	2314	162
9	2515	162
10	2791	162
11	3151	162
12	3603	162
13	4139	162
14	4765	162
15	5518	162
16	5833	162
17	6059	162
18	6257	162
19	6313	162
20	6337	162
21	7171	162

Stop Event

1×	node limit

Counts

80 → 59

Calls

Call 1

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

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

eval145.0ms (1.5%)

Compiler: Compiled 4466 to 2975 computations (33.4% saved)

prune52.0ms (0.5%)

Pruning

17 alts after pruning (9 fresh and 8 done)

	Pruned	Kept	Total
New	305	2	307
Fresh	0	7	7
Picked	0	1	1
Done	1	7	8
Total	306	17	323

Error

Counts

323 → 17

Alt Table

Click to see full alt table

Status	Error	Program
✓	14.7b	(-.f64 (.f64 a (.f64 a (*.f64 a (+.f64 a -4)))) 1)
	11.3b	(-.f64 (.f64 b (.f64 b (+.f64 12 (*.f64 b b)))) 1)
	23.9b	(-.f64 (.f64 b (.f64 12 b)) 1)
	13.6b	(-.f64 (.f64 a (.f64 a (+.f64 4 (*.f64 a (+.f64 a -4))))) 1)
✓	23.9b	(-.f64 (.f64 12 (.f64 b b)) 1)
	49.3b	(pow.f64 b 4)
	24.1b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 -4 a))) 1)
	13.6b	(-.f64 (fma.f64 (.f64 (.f64 a (+.f64 a -4)) a) a (.f64 a (.f64 a 4))) 1)
	13.5b	(-.f64 (+.f64 (.f64 a (.f64 a 4)) (*.f64 (+.f64 a -4) (pow.f64 a 3))) 1)
✓	11.3b	(-.f64 (.f64 b (+.f64 (.f64 12 b) (pow.f64 b 3))) 1)
	24.9b	-1
	14.7b	(-.f64 (.f64 a (.f64 (*.f64 a a) (+.f64 -4 a))) 1)
✓	15.1b	(-.f64 (.f64 a (.f64 a (*.f64 a a))) 1)
✓	52.6b	(pow.f64 a 4)
✓	24.1b	(-.f64 (.f64 4 (.f64 a a)) 1)
✓	11.4b	(-.f64 (+.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 12 (*.f64 b b))) 1)
✓	14.9b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)

Compiler

Compiled 196 to 139 computations (29.1% saved)

regimes119.0ms (1.2%)

Counts

29 → 1

Calls

Call 1

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

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

Calls

8 calls:

22.0ms	(+.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)))))
20.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
15.0ms	a
14.0ms	b
14.0ms	(*.f64 b b)

Results

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

Compiler

Compiled 559 to 327 computations (41.5% saved)

regimes66.0ms (0.7%)

Counts

28 → 1

Calls

Call 1

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

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

Calls

5 calls:

15.0ms	a
14.0ms	b
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)))))
9.0ms	(*.f64 b b)
6.0ms	(-.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 471 to 274 computations (41.8% saved)

regimes112.0ms (1.1%)

Counts

25 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

44.0ms	a
34.0ms	b
13.0ms	(*.f64 b b)
12.0ms	(*.f64 b b)

Results

Error	Segments	Branch
1.0b	3	`a`
1.7b	3	`b`
1.7b	2	`(*.f64 b b)`
1.7b	2	`(*.f64 b b)`

Compiler

Compiled 297 to 183 computations (38.4% saved)

bsearch55.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
27.0ms	2.0986398285440574e-14	1.4869638246951924e-8
27.0ms	-0.00019407737712968286	-7.301021752824396e-13

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes113.0ms (1.1%)

Counts

24 → 3

Calls

Call 1

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

Outputs

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

(-.f64 (*.f64 b (+.f64 (*.f64 12 b) (pow.f64 b 3))) 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)

Calls

4 calls:

48.0ms	a
33.0ms	b
12.0ms	(*.f64 b b)
11.0ms	(*.f64 b b)

Results

Error	Segments	Branch
1.0b	3	`a`
1.7b	3	`b`
1.7b	2	`(*.f64 b b)`
1.7b	2	`(*.f64 b b)`

Compiler

Compiled 274 to 169 computations (38.3% saved)

bsearch97.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
49.0ms	2.0986398285440574e-14	1.4869638246951924e-8
48.0ms	-0.00019407737712968286	-7.301021752824396e-13

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes175.0ms (1.8%)

Counts

23 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

62.0ms	b
59.0ms	a
20.0ms	(*.f64 b b)
20.0ms	(*.f64 b b)

Results

Error	Segments	Branch
1.0b	3	`a`
1.7b	3	`b`
1.7b	2	`(*.f64 b b)`
1.7b	2	`(*.f64 b b)`

Compiler

Compiled 251 to 155 computations (38.2% saved)

bsearch81.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
31.0ms	2.0986398285440574e-14	1.4869638246951924e-8
49.0ms	-0.00019407737712968286	-7.301021752824396e-13

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes91.0ms (0.9%)

Counts

22 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

31.0ms	a
30.0ms	b
11.0ms	(*.f64 b b)
10.0ms	(*.f64 b b)

Results

Error	Segments	Branch
1.0b	3	`a`
1.7b	3	`b`
1.7b	2	`(*.f64 b b)`
1.7b	2	`(*.f64 b b)`

Compiler

Compiled 235 to 145 computations (38.3% saved)

bsearch57.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	2.0986398285440574e-14	1.4869638246951924e-8
29.0ms	-0.00019407737712968286	-7.301021752824396e-13

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes86.0ms (0.9%)

Counts

21 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

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

Results

Error	Segments	Branch
1.0b	3	`a`
1.7b	3	`b`
1.7b	2	`(*.f64 b b)`
1.7b	2	`(*.f64 b b)`

Compiler

Compiled 220 to 134 computations (39.1% saved)

bsearch60.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
32.0ms	2.0986398285440574e-14	1.4869638246951924e-8
28.0ms	-0.00019407737712968286	-7.301021752824396e-13

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes81.0ms (0.8%)

Counts

19 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

28.0ms	a
27.0ms	b
10.0ms	(*.f64 b b)
10.0ms	(*.f64 b b)

Results

Error	Segments	Branch
1.1b	3	`a`
1.8b	3	`b`
1.8b	2	`(*.f64 b b)`
1.8b	2	`(*.f64 b b)`

Compiler

Compiled 197 to 118 computations (40.1% saved)

bsearch94.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
31.0ms	2.0986398285440574e-14	1.4869638246951924e-8
62.0ms	-0.00019407737712968286	-7.301021752824396e-13

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes101.0ms (1%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

4 calls:

58.0ms	b
22.0ms	a
8.0ms	(*.f64 b b)
8.0ms	(*.f64 b b)

Results

Error	Segments	Branch
1.1b	3	`a`
1.8b	3	`b`
1.8b	2	`(*.f64 b b)`
1.8b	2	`(*.f64 b b)`

Compiler

Compiled 146 to 87 computations (40.4% saved)

bsearch62.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
30.0ms	2.0986398285440574e-14	1.4869638246951924e-8
32.0ms	-0.00019407737712968286	-7.301021752824396e-13

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes83.0ms (0.8%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

4 calls:

39.0ms	a
20.0ms	b
10.0ms	(*.f64 b b)
8.0ms	(*.f64 b b)

Results

Error	Segments	Branch
1.1b	3	`a`
1.8b	3	`b`
1.8b	2	`(*.f64 b b)`
1.8b	2	`(*.f64 b b)`

Compiler

Compiled 118 to 73 computations (38.1% saved)

bsearch100.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
43.0ms	2.0986398285440574e-14	1.4869638246951924e-8
56.0ms	-0.00019407737712968286	-7.301021752824396e-13

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes55.0ms (0.6%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

4 calls:

20.0ms	a
18.0ms	b
7.0ms	(*.f64 b b)
7.0ms	(*.f64 b b)

Results

Error	Segments	Branch
2.2b	3	`a`
2.9b	3	`b`
2.9b	2	`(*.f64 b b)`
2.9b	2	`(*.f64 b b)`

Compiler

Compiled 105 to 64 computations (39% saved)

bsearch93.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
31.0ms	2.0986398285440574e-14	1.4869638246951924e-8
61.0ms	-0.00019407737712968286	-7.301021752824396e-13

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes75.0ms (0.8%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

4 calls:

38.0ms	b
22.0ms	a
7.0ms	(*.f64 b b)
6.0ms	(*.f64 b b)

Results

Error	Segments	Branch
2.2b	3	`a`
2.9b	3	`b`
2.9b	2	`(*.f64 b b)`
2.9b	2	`(*.f64 b b)`

Compiler

Compiled 72 to 45 computations (37.5% saved)

bsearch88.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
58.0ms	2.0986398285440574e-14	1.4869638246951924e-8
29.0ms	-0.00019407737712968286	-7.301021752824396e-13

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes79.0ms (0.8%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

4 calls:

47.0ms	b
14.0ms	a
9.0ms	(*.f64 b b)
6.0ms	(*.f64 b b)

Results

Error	Segments	Branch
2.6b	3	`a`
3.3b	3	`b`
3.3b	2	`(*.f64 b b)`
3.3b	2	`(*.f64 b b)`

Compiler

Compiled 61 to 39 computations (36.1% saved)

bsearch88.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
58.0ms	2.0986398285440574e-14	1.4869638246951924e-8
29.0ms	-0.00019407737712968286	-7.301021752824396e-13

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes16.0ms (0.2%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	b
5.0ms	a
3.0ms	(*.f64 b b)

Results

Error	Segments	Branch
15.1b	1	`a`
15.1b	1	`b`
15.1b	1	`(*.f64 b b)`

Compiler

Compiled 45 to 30 computations (33.3% saved)

regimes22.0ms (0.2%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	(*.f64 b b)
6.0ms	a
5.0ms	b
3.0ms	(*.f64 b b)

Results

Error	Segments	Branch
23.9b	1	`a`
23.9b	1	`b`
23.9b	1	`(*.f64 b b)`
23.9b	1	`(*.f64 b b)`

Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes42.0ms (0.4%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
-1
-1

Outputs
-1

Calls

2 calls:

38.0ms	a
3.0ms	b

Results

Error	Segments	Branch
24.9b	1	`a`
24.9b	1	`b`

Compiler

Compiled 10 to 8 computations (20% saved)

simplify39.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

32×	`+-commutative_binary64`
28×	`*-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	106	905
1	169	905
2	189	905
3	193	905
4	195	905

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 -3580095706408071/18446744073709551616) (-.f64 (+.f64 (.f64 a (.f64 a 4)) (.f64 (+.f64 a -4) (pow.f64 a 3))) 1) (if (<=.f64 a 6650855095791857/316912650057057350374175801344) (-.f64 (+.f64 (pow.f64 b 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 3 a))))) 1) (-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)))
(if (<=.f64 a -3580095706408071/18446744073709551616) (-.f64 (+.f64 (.f64 a (.f64 a 4)) (.f64 (+.f64 a -4) (pow.f64 a 3))) 1) (if (<=.f64 a 6650855095791857/316912650057057350374175801344) (-.f64 (.f64 b (+.f64 (.f64 12 b) (pow.f64 b 3))) 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)))
(if (<=.f64 a -3580095706408071/18446744073709551616) (-.f64 (+.f64 (.f64 a (.f64 a 4)) (.f64 (+.f64 a -4) (pow.f64 a 3))) 1) (if (<=.f64 a 6650855095791857/316912650057057350374175801344) (-.f64 (.f64 b (+.f64 (.f64 12 b) (pow.f64 b 3))) 1) (-.f64 (fma.f64 (.f64 (.f64 a (+.f64 a -4)) a) a (.f64 a (*.f64 a 4))) 1)))
(if (<=.f64 a -3580095706408071/18446744073709551616) (-.f64 (+.f64 (.f64 a (.f64 a 4)) (.f64 (+.f64 a -4) (pow.f64 a 3))) 1) (if (<=.f64 a 6650855095791857/316912650057057350374175801344) (-.f64 (.f64 b (+.f64 (.f64 12 b) (pow.f64 b 3))) 1) (-.f64 (+.f64 (.f64 a (.f64 a 4)) (.f64 (+.f64 a -4) (pow.f64 a 3))) 1)))
(if (<=.f64 a -3580095706408071/18446744073709551616) (-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 b (.f64 a (+.f64 4 (.f64 2 a)))))) 1) (if (<=.f64 a 6650855095791857/316912650057057350374175801344) (-.f64 (.f64 b (+.f64 (.f64 12 b) (pow.f64 b 3))) 1) (-.f64 (.f64 a (.f64 a (+.f64 4 (.f64 a (+.f64 a -4))))) 1)))
(if (<=.f64 a -3580095706408071/18446744073709551616) (-.f64 (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) (.f64 b (.f64 b (.f64 a (+.f64 4 (.f64 2 a)))))) 1) (if (<=.f64 a 6650855095791857/316912650057057350374175801344) (-.f64 (.f64 b (.f64 b (+.f64 12 (.f64 b b)))) 1) (-.f64 (.f64 a (.f64 a (+.f64 4 (*.f64 a (+.f64 a -4))))) 1)))
(if (<=.f64 a -3580095706408071/18446744073709551616) (-.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a -4)))) 1) (if (<=.f64 a 6650855095791857/316912650057057350374175801344) (-.f64 (.f64 b (.f64 b (+.f64 12 (.f64 b b)))) 1) (-.f64 (.f64 a (.f64 a (+.f64 4 (*.f64 a (+.f64 a -4))))) 1)))
(if (<=.f64 a -3580095706408071/18446744073709551616) (-.f64 (.f64 a (.f64 a (+.f64 4 (.f64 a (+.f64 a -4))))) 1) (if (<=.f64 a 6650855095791857/316912650057057350374175801344) (-.f64 (.f64 b (.f64 b (+.f64 12 (.f64 b b)))) 1) (-.f64 (.f64 a (.f64 a (+.f64 4 (*.f64 a (+.f64 a -4))))) 1)))
(if (<=.f64 a -3580095706408071/18446744073709551616) (-.f64 (.f64 a (.f64 (.f64 a a) (+.f64 -4 a))) 1) (if (<=.f64 a 6650855095791857/316912650057057350374175801344) (-.f64 (.f64 b (.f64 b (+.f64 12 (.f64 b b)))) 1) (-.f64 (.f64 a (.f64 a (*.f64 a (+.f64 a -4)))) 1)))
(if (<=.f64 a -3580095706408071/18446744073709551616) (-.f64 (.f64 a (.f64 (.f64 a a) (+.f64 -4 a))) 1) (if (<=.f64 a 6650855095791857/316912650057057350374175801344) (-.f64 (.f64 b (.f64 b (+.f64 12 (.f64 b b)))) 1) (-.f64 (.f64 a (.f64 (*.f64 a a) (+.f64 -4 a))) 1)))
(if (<=.f64 a -3580095706408071/18446744073709551616) (-.f64 (.f64 a (.f64 a (.f64 a a))) 1) (if (<=.f64 a 6650855095791857/316912650057057350374175801344) (-.f64 (.f64 b (.f64 b (+.f64 12 (.f64 b b)))) 1) (-.f64 (.f64 a (.f64 a (*.f64 a a))) 1)))
(-.f64 (.f64 a (.f64 a (*.f64 a a))) 1)
(-.f64 (.f64 b (.f64 12 b)) 1)
-1

Outputs
(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (-.f64 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 a a)) (pow.f64 a 3)) -1))
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(+.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 a 3))))) -1)
(+.f64 -1 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 a 3))))))
(if (<=.f64 a -3580095706408071/18446744073709551616) (-.f64 (+.f64 (.f64 a (.f64 a 4)) (.f64 (+.f64 a -4) (pow.f64 a 3))) 1) (if (<=.f64 a 6650855095791857/316912650057057350374175801344) (-.f64 (+.f64 (pow.f64 b 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 3 a))))) 1) (-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)))
(if (<=.f64 a -3580095706408071/18446744073709551616) (+.f64 (+.f64 (.f64 a (.f64 a 4)) (.f64 (pow.f64 a 3) (+.f64 a -4))) -1) (if (<=.f64 a 6650855095791857/316912650057057350374175801344) (+.f64 (+.f64 (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 a 3)))) (pow.f64 b 4)) -1) (+.f64 (+.f64 (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 a 3)))) (pow.f64 a 4)) -1)))
(if (<=.f64 a -3580095706408071/18446744073709551616) (+.f64 -1 (+.f64 (.f64 a (.f64 a 4)) (.f64 (pow.f64 a 3) (+.f64 a -4)))) (if (<=.f64 a 6650855095791857/316912650057057350374175801344) (+.f64 -1 (+.f64 (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 a 3)))) (pow.f64 b 4))) (+.f64 -1 (+.f64 (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 a 3)))) (pow.f64 a 4)))))
(if (<=.f64 a -3580095706408071/18446744073709551616) (-.f64 (+.f64 (.f64 a (.f64 a 4)) (.f64 (+.f64 a -4) (pow.f64 a 3))) 1) (if (<=.f64 a 6650855095791857/316912650057057350374175801344) (-.f64 (.f64 b (+.f64 (.f64 12 b) (pow.f64 b 3))) 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)))
(if (<=.f64 a -3580095706408071/18446744073709551616) (+.f64 (+.f64 (.f64 a (.f64 a 4)) (.f64 (pow.f64 a 3) (+.f64 a -4))) -1) (if (<=.f64 a 6650855095791857/316912650057057350374175801344) (+.f64 (.f64 b (+.f64 (.f64 b 12) (pow.f64 b 3))) -1) (+.f64 (+.f64 (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 a 3)))) (pow.f64 a 4)) -1)))
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(-.f64 (.f64 a (.f64 a (*.f64 a a))) 1)
(+.f64 (.f64 a (.f64 a (*.f64 a a))) -1)
(+.f64 -1 (.f64 a (.f64 a (*.f64 a a))))
(-.f64 (.f64 b (.f64 12 b)) 1)
(+.f64 (.f64 b (.f64 b 12)) -1)
(+.f64 -1 (.f64 b (.f64 b 12)))
-1

Compiler

Compiled 649 to 448 computations (31% saved)

soundness129.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Compiler

Compiled 975 to 567 computations (41.8% saved)

end331.0ms (3.3%)

Compiler: Compiled 619 to 398 computations (35.7% saved)