Details

analyze322.0ms (2.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	74.9%	0.1%	6
25%	62.4%	12.6%	7
25%	53.1%	22%	8
25%	44.5%	30.5%	9
28.1%	27.7%	44.2%	10
31.6%	20.1%	48.3%	11
33.4%	10.5%	56.1%	12

Compiler

Compiled 34 to 22 computations (35.3% saved)

sample2.5s (22.2%)

Results

2.3s	8256×	body	256	valid
183.0ms	996×	body	256	invalid

preprocess67.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

477×	`sub-neg_binary64`
473×	`fma-neg_binary64`
432×	`associate-+l+_binary64`
424×	`distribute-rgt-in_binary64`
394×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	84
1	111	80
2	348	72
3	1372	72
4	4090	64
5	7361	64
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 1 (*.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 1 (*.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 1 (.f64 3 a)))))) 1)
(+.f64 (+.f64 (.f64 4 (fma.f64 (.f64 a a) (+.f64 a 1) (.f64 b (.f64 b (+.f64 1 (.f64 -3 a)))))) (pow.f64 (fma.f64 a a (.f64 b b)) 2)) -1)
(+.f64 (fma.f64 4 (fma.f64 a (.f64 a (+.f64 a 1)) (.f64 b (.f64 b (+.f64 1 (.f64 a -3))))) (pow.f64 (fma.f64 a a (*.f64 b b)) 2)) -1)
(+.f64 (fma.f64 4 (fma.f64 a (fma.f64 a a a) (.f64 (.f64 b b) (fma.f64 a -3 1))) (pow.f64 (fma.f64 a a (*.f64 b b)) 2)) -1)
(+.f64 (fma.f64 4 (fma.f64 a (fma.f64 a a a) (.f64 (.f64 b b) (fma.f64 a -3 1))) (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 1 (.f64 3 b)))))) 1)
(+.f64 (pow.f64 (fma.f64 a a (.f64 b b)) 2) (-.f64 (.f64 4 (fma.f64 (.f64 b b) (+.f64 b 1) (.f64 (.f64 a a) (+.f64 1 (.f64 -3 b))))) 1))
(+.f64 (pow.f64 (fma.f64 a a (.f64 b b)) 2) (fma.f64 4 (fma.f64 (.f64 a a) (+.f64 1 (.f64 b -3)) (+.f64 (.f64 b b) (pow.f64 b 3))) -1))
(+.f64 (pow.f64 (fma.f64 a a (.f64 b b)) 2) (fma.f64 4 (fma.f64 (.f64 a a) (fma.f64 b -3 1) (*.f64 b (fma.f64 b b b))) -1))
(+.f64 (pow.f64 (fma.f64 a a (.f64 b b)) 2) (fma.f64 4 (fma.f64 a (.f64 a (fma.f64 b -3 1)) (*.f64 b (fma.f64 b b b))) -1))
(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a (.f64 a (fma.f64 b -3 1)) (.f64 b (fma.f64 b b b))) -1))

Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify48.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

691×	`fma-def_binary64`
669×	`unsub-neg_binary64`
596×	`cancel-sign-sub-inv_binary64`
431×	`distribute-rgt-in_binary64`
315×	`+-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	20	42
1	63	40
2	193	36
3	724	36
4	2835	32
5	4848	32

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

eval1.0ms (0%)

Compiler: Compiled 56 to 36 computations (35.7% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Status

Error

Program

▶

0.0b

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

▶

0.2b

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

Compiler

Compiled 58 to 38 computations (34.5% saved)

localize41.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 95 to 59 computations (37.9% saved)

series20.0ms (0.2%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	b	@	0	(pow.f64 (hypot.f64 a b) 4)
3.0ms	a	@	0	(pow.f64 (hypot.f64 a b) 4)
2.0ms	a	@	inf	(fma.f64 b (*.f64 b (fma.f64 a -3 1)) (pow.f64 a 3))
2.0ms	a	@	inf	(pow.f64 (hypot.f64 a b) 4)
2.0ms	b	@	inf	(pow.f64 (hypot.f64 a b) 4)

rewrite76.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

493×	`log-prod_binary64`
382×	`exp-prod_binary64`
302×	`pow-prod-down_binary64`
296×	`pow2_binary64`
204×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	35
1	268	35
2	2800	35

Stop Event

1×	node limit

Counts

4 → 122

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 b (fma.f64 a -3 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 a -3) b) b)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b (.f64 a -3)) b)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 b) (fma.f64 a -3 1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 b) (fma.f64 a -3 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 b) (fma.f64 a -3 1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 b) (fma.f64 a -3 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 b (fma.f64 a -3 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 b (fma.f64 a -3 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (.f64 b (fma.f64 a -3 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 b (fma.f64 a -3 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 b (fma.f64 a -3 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 b (fma.f64 a -3 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 b (fma.f64 a -3 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 b (fma.f64 a -3 1)))) 2)) (cbrt.f64 (log.f64 (.f64 b (fma.f64 a -3 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 b (fma.f64 a -3 1))))) (sqrt.f64 (log.f64 (.f64 b (fma.f64 a -3 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 b (fma.f64 a -3 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 b) (fma.f64 a -3 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 b (fma.f64 a -3 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 b (fma.f64 a -3 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 b (fma.f64 a -3 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 b (fma.f64 a -3 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 b (fma.f64 a -3 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 b (fma.f64 a -3 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (.f64 b (fma.f64 a -3 1)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 b (fma.f64 a -3 1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 b (fma.f64 a -3 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 b (fma.f64 a -3 1))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b (.f64 a -3) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a -3) b b)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (.f64 a -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 a -3 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 a -3) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 a -3 1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 a -3 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 a -3 1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 a -3 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 a -3 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 a -3 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 a -3 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 a -3 1)) (pow.f64 (cbrt.f64 (fma.f64 a -3 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 a -3 1)) 2) (cbrt.f64 (fma.f64 a -3 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 a -3 1)) (sqrt.f64 (fma.f64 a -3 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 a -3) 3) 1) (+.f64 (pow.f64 (.f64 a -3) 2) (-.f64 1 (.f64 (.f64 a -3) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 a -3) 2) 1) (fma.f64 a -3 -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a -3 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log1p.f64 (.f64 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a -3 1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a -3 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 a -3 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 a -3 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 a -3))) 2)) (cbrt.f64 (log1p.f64 (.f64 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (.f64 a -3)))) (sqrt.f64 (log1p.f64 (.f64 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 a -3 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 a -3 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 a -3 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a -3 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 a -3 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 a -3 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (.f64 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log1p.f64 (.f64 a -3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log1p.f64 (.f64 a -3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/3 (log1p.f64 (.f64 a -3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/2 (log1p.f64 (.f64 a -3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log1p.f64 (.f64 a -3)) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (hypot.f64 b a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 b a) 4))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 b a) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 b a) 4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 b a) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 b a) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (hypot.f64 b a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (hypot.f64 b a) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (hypot.f64 b a) 2) (pow.f64 (hypot.f64 b a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (hypot.f64 b a)) 4) (cbrt.f64 (pow.f64 (hypot.f64 b a) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (hypot.f64 b a) 8)) (pow.f64 (cbrt.f64 (hypot.f64 b a)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (hypot.f64 b a)) 8) (pow.f64 (cbrt.f64 (hypot.f64 b a)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (hypot.f64 b a) 8))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (hypot.f64 b a) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 b a) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 b a) 12))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 b a) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 b a) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 4 (log.f64 (hypot.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 4 (log.f64 (hypot.f64 b a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (hypot.f64 b a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (hypot.f64 b a) 12)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 b a)) 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 b a)) 1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (.f64 4 (log.f64 (hypot.f64 b a))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 b a)) 2) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 a 3) (.f64 b (.f64 b (fma.f64 a -3 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (.f64 b b) (fma.f64 a -3 1) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b (.f64 b (fma.f64 a -3 1))) (pow.f64 a 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 b (.f64 b (fma.f64 a -3 1))) 1) (pow.f64 a 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (.f64 b b) (fma.f64 a -3 1) (pow.f64 a 3)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (.f64 b b) (fma.f64 a -3 1) (pow.f64 a 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (.f64 b b) (fma.f64 a -3 1) (pow.f64 a 3))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (.f64 b b) (fma.f64 a -3 1) (pow.f64 a 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 b b) (fma.f64 a -3 1) (pow.f64 a 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (.f64 b b) (fma.f64 a -3 1) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (.f64 b b) (fma.f64 a -3 1) (pow.f64 a 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (.f64 b b) (fma.f64 a -3 1) (pow.f64 a 3))) (cbrt.f64 (pow.f64 (fma.f64 (.f64 b b) (fma.f64 a -3 1) (pow.f64 a 3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 b b) (fma.f64 a -3 1) (pow.f64 a 3)) 2)) (cbrt.f64 (fma.f64 (.f64 b b) (fma.f64 a -3 1) (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (.f64 b b) (fma.f64 a -3 1) (pow.f64 a 3))) (sqrt.f64 (fma.f64 (.f64 b b) (fma.f64 a -3 1) (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 b (.f64 b (fma.f64 a -3 1))) 3) (pow.f64 a 9)) (+.f64 (pow.f64 (.f64 b (.f64 b (fma.f64 a -3 1))) 2) (-.f64 (pow.f64 a 6) (.f64 (.f64 b (.f64 b (fma.f64 a -3 1))) (pow.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 b (.f64 b (fma.f64 a -3 1))) 2) (pow.f64 a 6)) (-.f64 (.f64 b (.f64 b (fma.f64 a -3 1))) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (.f64 b b) (fma.f64 a -3 1) (pow.f64 a 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (fma.f64 (.f64 b b) (fma.f64 a -3 1) (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (.f64 b b) (fma.f64 a -3 1) (pow.f64 a 3)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (.f64 b b) (fma.f64 a -3 1) (pow.f64 a 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (.f64 b b) (fma.f64 a -3 1) (pow.f64 a 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (.f64 b b) (fma.f64 a -3 1) (pow.f64 a 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (.f64 b b) (fma.f64 a -3 1) (pow.f64 a 3)))) 2)) (cbrt.f64 (log.f64 (fma.f64 (.f64 b b) (fma.f64 a -3 1) (pow.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (.f64 b b) (fma.f64 a -3 1) (pow.f64 a 3))))) (sqrt.f64 (log.f64 (fma.f64 (.f64 b b) (fma.f64 a -3 1) (pow.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (.f64 b b) (fma.f64 a -3 1) (pow.f64 a 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (.f64 b b) (fma.f64 a -3 1) (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (.f64 b b) (fma.f64 a -3 1) (pow.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (pow.f64 a 3))) (pow.f64 (exp.f64 b) (.f64 b (fma.f64 a -3 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 b) (.f64 b (fma.f64 a -3 1))) (+.f64 1 (expm1.f64 (pow.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (.f64 b b) (fma.f64 a -3 1) (pow.f64 a 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (.f64 b b) (fma.f64 a -3 1) (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (.f64 b b) (fma.f64 a -3 1) (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (.f64 b b) (fma.f64 a -3 1) (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 (.f64 b b) (fma.f64 a -3 1) (pow.f64 a 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 (.f64 b b) (fma.f64 a -3 1) (pow.f64 a 3)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 (.f64 b b) (fma.f64 a -3 1) (pow.f64 a 3)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (.f64 b b) (fma.f64 a -3 1) (pow.f64 a 3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (fma.f64 (.f64 b b) (fma.f64 a -3 1) (pow.f64 a 3))) 1) 1))))))

simplify72.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

836×	`fma-def_binary64`
581×	`associate-l_binary64`
571×	`associate-r_binary64`
551×	`associate-+l+_binary64`
492×	`associate-+r+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	119	1289
1	376	1198
2	1365	1084
3	7826	1083

Stop Event

1×	node limit

Counts

206 → 166

Calls

Call 1

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

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

localize53.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))))))
✓	0.1b	(.f64 (.f64 a a) (+.f64 1 a))
✓	0.4b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
✓	0.8b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

Compiler

Compiled 153 to 77 computations (49.7% saved)

series10.0ms (0.1%)

Counts

4 → 84

Calls

21 calls:

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

rewrite115.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

538×	`fma-neg_binary64`
356×	`expm1-udef_binary64`
355×	`log1p-udef_binary64`
222×	`add-sqr-sqrt_binary64`
217×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	73
1	441	65
2	6359	65

Stop Event

1×	node limit

Counts

4 → 112

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b b) (.f64 (.f64 a -3) (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 b (+.f64 b (.f64 (.f64 a -3) b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (pow.f64 (.f64 3 a) 3)) (.f64 b b)) (+.f64 1 (+.f64 (.f64 3 a) (.f64 (.f64 a a) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (.f64 (.f64 a a) 9)) (.f64 b b)) (+.f64 1 (.f64 3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 b b) (-.f64 1 (pow.f64 (.f64 3 a) 3))) (+.f64 1 (+.f64 (.f64 3 a) (.f64 (.f64 a a) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 b b) (-.f64 1 (.f64 (.f64 a a) 9))) (+.f64 1 (.f64 3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 b (+.f64 b (.f64 (.f64 a -3) b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 b (+.f64 b (.f64 (.f64 a -3) b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 b (sqrt.f64 (+.f64 1 (.f64 a -3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (+.f64 1 (.f64 a -3)) 3) (pow.f64 b 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 b 4) (pow.f64 (+.f64 1 (.f64 a -3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 b) b) (+.f64 1 (.f64 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 b (+.f64 b (.f64 (.f64 a -3) b))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (+.f64 1 (.f64 a -3)) 3) (pow.f64 b 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 b (+.f64 b (.f64 (.f64 a -3) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 b (+.f64 b (.f64 (.f64 a -3) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 2 (log.f64 b)) (log1p.f64 (.f64 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (+.f64 (.f64 2 (log.f64 b)) (log1p.f64 (.f64 a -3))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 b b) (pow.f64 (hypot.f64 b a) 2)) (.f64 (.f64 a a) (pow.f64 (hypot.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 a a) (pow.f64 (hypot.f64 b a) 2)) (.f64 (.f64 b b) (pow.f64 (hypot.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 (hypot.f64 b a) 2) (.f64 b b)) (.f64 (pow.f64 (hypot.f64 b a) 2) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 (hypot.f64 b a) 2) (.f64 a a)) (.f64 (pow.f64 (hypot.f64 b a) 2) (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (hypot.f64 b a) 2) (pow.f64 (hypot.f64 b a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) (.f64 (cbrt.f64 (pow.f64 (hypot.f64 b a) 2)) (pow.f64 (hypot.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4)) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 b a) (.f64 (hypot.f64 b a) (pow.f64 (hypot.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (hypot.f64 b a) 2) (hypot.f64 b a)) (hypot.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (hypot.f64 b a) 2) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))) (cbrt.f64 (pow.f64 (hypot.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4)) (-.f64 (pow.f64 a 4) (pow.f64 b 4))) (.f64 (-.f64 (.f64 a a) (.f64 b b)) (-.f64 (.f64 a a) (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 a 6) (pow.f64 b 6)) (+.f64 (pow.f64 a 6) (pow.f64 b 6))) (.f64 (-.f64 (+.f64 (pow.f64 a 4) (pow.f64 b 4)) (pow.f64 (.f64 a b) 2)) (-.f64 (+.f64 (pow.f64 a 4) (pow.f64 b 4)) (pow.f64 (.f64 a b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4)) (+.f64 (pow.f64 a 6) (pow.f64 b 6))) (.f64 (-.f64 (.f64 a a) (.f64 b b)) (-.f64 (+.f64 (pow.f64 a 4) (pow.f64 b 4)) (pow.f64 (.f64 a b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 a 6) (pow.f64 b 6)) (-.f64 (pow.f64 a 4) (pow.f64 b 4))) (.f64 (-.f64 (+.f64 (pow.f64 a 4) (pow.f64 b 4)) (pow.f64 (.f64 a b) 2)) (-.f64 (.f64 a a) (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 a 6) (pow.f64 b 6)) (pow.f64 (hypot.f64 b a) 2)) (-.f64 (+.f64 (pow.f64 a 4) (pow.f64 b 4)) (pow.f64 (.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4)) (pow.f64 (hypot.f64 b a) 2)) (-.f64 (.f64 a a) (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (hypot.f64 b a) 2) (+.f64 (pow.f64 a 6) (pow.f64 b 6))) (-.f64 (+.f64 (pow.f64 a 4) (pow.f64 b 4)) (pow.f64 (.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (hypot.f64 b a) 2) (-.f64 (pow.f64 a 4) (pow.f64 b 4))) (-.f64 (.f64 a a) (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a a) (pow.f64 a 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a a) (.f64 (pow.f64 a 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 a 3) (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 a a (pow.f64 a 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a 6) (pow.f64 (pow.f64 a 3) 3)) (+.f64 (pow.f64 a 4) (-.f64 (pow.f64 a 6) (.f64 (.f64 a a) (pow.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 a 4) (pow.f64 a 6)) (-.f64 (.f64 a a) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 1 (pow.f64 a 3)) (.f64 a a)) (+.f64 1 (-.f64 (.f64 a a) a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (.f64 a a)) (.f64 a a)) (-.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 a a) (+.f64 1 (pow.f64 a 3))) (+.f64 1 (-.f64 (.f64 a a) a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 a a) (-.f64 1 (.f64 a a))) (-.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a a (pow.f64 a 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 a a (pow.f64 a 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a (sqrt.f64 (+.f64 1 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a a (pow.f64 a 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 a a (pow.f64 a 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 a a (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 a a (pow.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a a (pow.f64 a 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 a a (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 a a (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 a a (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 a a (pow.f64 a 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 a a) (pow.f64 a 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a a (pow.f64 a 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a a) 1 (pow.f64 a 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 a 4)) (pow.f64 (cbrt.f64 a) 2) (pow.f64 a 3))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 4 (fma.f64 b (+.f64 b (.f64 (.f64 a -3) b)) (fma.f64 a a (pow.f64 a 3))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 4) (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (.f64 -4 (fma.f64 b (+.f64 b (.f64 (.f64 a -3) b)) (fma.f64 a a (pow.f64 a 3)))))) (/.f64 (.f64 (pow.f64 (fma.f64 b (+.f64 b (.f64 (.f64 a -3) b)) (fma.f64 a a (pow.f64 a 3))) 2) 16) (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2) (.f64 -4 (fma.f64 b (+.f64 b (.f64 (.f64 a -3) b)) (fma.f64 a a (pow.f64 a 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 4 (fma.f64 b (+.f64 b (.f64 (.f64 a -3) b)) (fma.f64 a a (pow.f64 a 3))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 4 (fma.f64 b (+.f64 b (.f64 (.f64 a -3) b)) (fma.f64 a a (pow.f64 a 3))) (pow.f64 (pow.f64 (hypot.f64 b a) 2) 2)) 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simplify138.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

641×	`associate-+r+_binary64`
560×	`unsub-neg_binary64`
490×	`fma-def_binary64`
435×	`*-commutative_binary64`
374×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	1471
1	178	1421
2	522	1295
3	2074	1281
4	4234	1281
5	5670	1281

Stop Event

1×	node limit

Counts

196 → 156

Calls

Call 1

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

eval398.0ms (3.6%)

Compiler: Compiled 10466 to 6588 computations (37.1% saved)

prune108.0ms (1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	313	9	322
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	314	10	324

Error

Counts

324 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	1.7b	(-.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)
	12.7b	(-.f64 (.f64 b (.f64 b (fma.f64 b b 4))) 1)
▶	12.0b	(-.f64 (.f64 (.f64 a a) (+.f64 (.f64 a (+.f64 a 4)) (fma.f64 b (.f64 b 2) 4))) 1)
▶	12.9b	(-.f64 (*.f64 (pow.f64 a 3) (+.f64 a 4)) 1)
	10.8b	(-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))) 1)
	12.4b	(-.f64 (.f64 b (.f64 b (+.f64 (fma.f64 b b 4) (.f64 a (+.f64 -12 (.f64 a 2)))))) 1)
▶	12.8b	(-.f64 (.f64 (.f64 b b) (+.f64 4 (fma.f64 b b (*.f64 a -12)))) 1)
▶	12.0b	(-.f64 (+.f64 (pow.f64 b 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))) 1)
▶	0.3b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 b b)))) 1)
✓	0.2b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))) 1)

Compiler

Compiled 415 to 283 computations (31.8% saved)

localize63.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (*.f64 b b))
✓	0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 b b))))
	0.1b	(.f64 (.f64 a a) (+.f64 1 a))
	0.4b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

Compiler

Compiled 111 to 45 computations (59.5% saved)

series14.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	a	@	-inf	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 b b))))
2.0ms	b	@	inf	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 b b))))
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 b b))))
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 b b))))
1.0ms	a	@	inf	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 b b))))

rewrite118.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

755×	`log-prod_binary64`
467×	`fma-neg_binary64`
278×	`expm1-udef_binary64`
278×	`log1p-udef_binary64`
228×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	44
1	345	37
2	4965	37

Stop Event

1×	node limit

Counts

2 → 89

Calls

Call 1

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

Outputs

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

simplify160.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1220×	`distribute-lft-out_binary64`
581×	`associate-+l+_binary64`
574×	`distribute-rgt-out_binary64`
456×	`associate-l_binary64`
393×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	896
1	153	812
2	422	758
3	1702	756
4	4128	756
5	6268	756
6	6460	756
7	6619	756
8	6823	756
9	7090	756
10	7433	756

Stop Event

1×	node limit

Counts

137 → 124

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 28 to 21 computations (25% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite54.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

755×	`pow1_binary64`
712×	`add-log-exp_binary64`
712×	`log1p-expm1-u_binary64`
712×	`expm1-log1p-u_binary64`
698×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	164	10
2	1977	10

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

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

simplify167.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	8	114
1	22	114
2	50	114
3	101	105
4	237	105
5	915	105
6	2021	105
7	2434	105
8	2594	105
9	2776	105
10	3016	105
11	3327	105
12	3713	105
13	4198	105
14	4823	105
15	5629	105
16	6033	105
17	6397	105
18	6691	105
19	6931	105
20	7083	105

Stop Event

1×	node limit

Counts

36 → 28

Calls

Call 1

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

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

localize20.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 4 (fma.f64 b b (*.f64 a -12)))
✓	0.0b	(fma.f64 b b (*.f64 a -12))
✓	0.9b	(.f64 (.f64 b b) (+.f64 4 (fma.f64 b b (*.f64 a -12))))

Compiler

Compiled 53 to 30 computations (43.4% saved)

series8.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	b	@	-inf	(+.f64 4 (fma.f64 b b (*.f64 a -12)))
1.0ms	b	@	0	(.f64 (.f64 b b) (+.f64 4 (fma.f64 b b (*.f64 a -12))))
1.0ms	a	@	0	(.f64 (.f64 b b) (+.f64 4 (fma.f64 b b (*.f64 a -12))))
1.0ms	b	@	inf	(.f64 (.f64 b b) (+.f64 4 (fma.f64 b b (*.f64 a -12))))
1.0ms	a	@	inf	(.f64 (.f64 b b) (+.f64 4 (fma.f64 b b (*.f64 a -12))))

rewrite81.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

486×	`log-prod_binary64`
392×	`prod-diff_binary64`
366×	`exp-prod_binary64`
353×	`pow-prod-down_binary64`
272×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	219	36
2	2789	32

Stop Event

1×	node limit

Counts

3 → 148

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b (*.f64 b 4)) (*.f64 b (*.f64 b (fma.f64 b b (*.f64 a -12)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b (*.f64 b (fma.f64 b b (*.f64 a -12)))) (*.f64 b (*.f64 b 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 b (*.f64 b (fma.f64 b b (fma.f64 a -12 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 b (*.f64 b 4)) 1) (*.f64 (*.f64 b (*.f64 b (fma.f64 b b (*.f64 a -12)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 b) (*.f64 b (fma.f64 b b (fma.f64 a -12 4))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 b) (*.f64 b (fma.f64 b b (fma.f64 a -12 4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 b) (*.f64 b (fma.f64 b b (fma.f64 a -12 4)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 b) (*.f64 b (fma.f64 b b (fma.f64 a -12 4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 b (*.f64 b (fma.f64 b b (fma.f64 a -12 4)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 b (*.f64 b 4)) 3) (*.f64 (pow.f64 b 6) (pow.f64 (fma.f64 b b (*.f64 a -12)) 3))) (+.f64 (pow.f64 (*.f64 b (*.f64 b 4)) 2) (-.f64 (pow.f64 (*.f64 b (*.f64 b (fma.f64 b b (*.f64 a -12)))) 2) (*.f64 (*.f64 b (*.f64 b 4)) (*.f64 b (*.f64 b (fma.f64 b b (*.f64 a -12))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 b (*.f64 b 4)) 2) (pow.f64 (*.f64 b (*.f64 b (fma.f64 b b (*.f64 a -12)))) 2)) (-.f64 (*.f64 b (*.f64 b 4)) (*.f64 b (*.f64 b (fma.f64 b b (*.f64 a -12))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 64 (pow.f64 (fma.f64 b b (*.f64 a -12)) 3)) (*.f64 b b)) (fma.f64 (fma.f64 b b (*.f64 a -12)) (-.f64 (fma.f64 b b (*.f64 a -12)) 4) 16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 16 (pow.f64 (fma.f64 b b (*.f64 a -12)) 2)) (*.f64 b b)) (-.f64 4 (fma.f64 b b (*.f64 a 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egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 b b (fma.f64 a -12 4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 b b (fma.f64 a -12 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (fma.f64 b b (*.f64 a -12)) (-.f64 (fma.f64 b b (*.f64 a -12)) 4) 16) (+.f64 64 (pow.f64 (fma.f64 b b (*.f64 a -12)) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 4 (fma.f64 b b (*.f64 a -12))) (-.f64 16 (pow.f64 (fma.f64 b b (*.f64 a -12)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 b b (fma.f64 a -12 4)))) 2)) (cbrt.f64 (log.f64 (fma.f64 b b (fma.f64 a -12 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 b b (fma.f64 a -12 4))))) (sqrt.f64 (log.f64 (fma.f64 b b (fma.f64 a -12 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 b b (fma.f64 a -12 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 b b (fma.f64 a -12 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 b b (fma.f64 a -12 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 b b (fma.f64 a -12 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 b b (fma.f64 a -12 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 b b (fma.f64 a -12 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 b b (fma.f64 a -12 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 b b (fma.f64 a -12 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 b b (fma.f64 a -12 4)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 b b (fma.f64 a -12 4)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 b b (fma.f64 a -12 4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 b b (fma.f64 a -12 4))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b b (fma.f64 a -12 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b b) 1 (fma.f64 a -12 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 b b (*.f64 a -12)) 1 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 b b) (fma.f64 a -12 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 b b (*.f64 a -12)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 b b (*.f64 a -12))) (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 a -12))) 2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 a -12))) 2) (cbrt.f64 (fma.f64 b b (*.f64 a -12))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) b) (fma.f64 a -12 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 b) b) (pow.f64 (cbrt.f64 b) 2) (fma.f64 a -12 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 b (sqrt.f64 (*.f64 a -12))) (hypot.f64 b (sqrt.f64 (*.f64 a -12))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (pow.f64 b 3/2) (fma.f64 a -12 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 b 3/2) (sqrt.f64 b) (fma.f64 a -12 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) 5) (cbrt.f64 b) (fma.f64 a -12 4))))))

simplify135.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

626×	`distribute-lft-in_binary64`
602×	`distribute-rgt-in_binary64`
600×	`*-commutative_binary64`
596×	`associate-l_binary64`
460×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	828
1	41	712
2	106	676
3	276	676
4	824	676
5	2805	676
6	4901	676
7	6355	676
8	6545	676
9	6756	676
10	7035	676
11	7400	676
12	7927	676

Stop Event

1×	node limit

Counts

220 → 170

Calls

Call 1

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

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

localize29.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 a (+.f64 a 4)) (fma.f64 b (.f64 b 2) 4))
✓	0.0b	(*.f64 a (+.f64 a 4))
✓	1.8b	(.f64 (.f64 a a) (+.f64 (.f64 a (+.f64 a 4)) (fma.f64 b (.f64 b 2) 4)))

Compiler

Compiled 73 to 45 computations (38.4% saved)

series7.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

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

rewrite93.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

652×	`log-prod_binary64`
625×	`fma-def_binary64`
346×	`pow2_binary64`
276×	`fma-neg_binary64`
240×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	43
1	271	43
2	3787	43

Stop Event

1×	node limit

Counts

3 → 200

Calls

Call 1

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

Outputs

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

simplify138.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

681×	`distribute-rgt-out_binary64`
610×	`fma-def_binary64`
451×	`unswap-sqr_binary64`
431×	`*-commutative_binary64`
410×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	900
1	94	844
2	227	779
3	705	779
4	2810	779
5	5686	779
6	6840	779
7	7075	779
8	7299	779
9	7543	779
10	7843	779

Stop Event

1×	node limit

Counts

260 → 230

Calls

Call 1

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

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

localize44.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1 (*.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 1 (.f64 3 a))))))
	0.1b	(.f64 (.f64 a a) (+.f64 1 a))
	0.8b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

Compiler

Compiled 127 to 75 computations (40.9% saved)

series4.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite85.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

455×	`fma-neg_binary64`
319×	`expm1-udef_binary64`
318×	`log1p-udef_binary64`
260×	`log-pow_binary64`
196×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	39
1	392	35
2	5611	35

Stop Event

1×	node limit

Counts

2 → 73

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 4 (fma.f64 b (+.f64 b (*.f64 (*.f64 a -3) b)) (fma.f64 a a (pow.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 b (+.f64 b (*.f64 (*.f64 a -3) b)) (fma.f64 a a (pow.f64 a 3)))))) (/.f64 (*.f64 (pow.f64 (fma.f64 b (+.f64 b (*.f64 (*.f64 a -3) b)) (fma.f64 a a (pow.f64 a 3))) 2) 16) (-.f64 (pow.f64 b 4) (*.f64 4 (fma.f64 b (+.f64 b (*.f64 (*.f64 a -3) b)) (fma.f64 a a (pow.f64 a 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 4 (fma.f64 b (+.f64 b (*.f64 (*.f64 a -3) b)) (fma.f64 a a (pow.f64 a 3))) (pow.f64 b 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 4 (fma.f64 b (+.f64 b (*.f64 (*.f64 a -3) b)) (fma.f64 a a (pow.f64 a 3))) (pow.f64 b 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 4 (fma.f64 b (+.f64 b (*.f64 (*.f64 a -3) b)) (fma.f64 a a (pow.f64 a 3))) (pow.f64 b 4))) (pow.f64 (cbrt.f64 (fma.f64 4 (fma.f64 b (+.f64 b (*.f64 (*.f64 a -3) b)) (fma.f64 a a (pow.f64 a 3))) (pow.f64 b 4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (fma.f64 b (+.f64 b (*.f64 (*.f64 a -3) b)) (fma.f64 a a (pow.f64 a 3))) (pow.f64 b 4))) 2) (cbrt.f64 (fma.f64 4 (fma.f64 b (+.f64 b (*.f64 (*.f64 a -3) b)) (fma.f64 a a (pow.f64 a 3))) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 4 (fma.f64 b (+.f64 b (*.f64 (*.f64 a -3) b)) (fma.f64 a a (pow.f64 a 3))) (pow.f64 b 4))) (sqrt.f64 (fma.f64 4 (fma.f64 b (+.f64 b (*.f64 (*.f64 a -3) b)) (fma.f64 a a (pow.f64 a 3))) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 b 12) (*.f64 (pow.f64 (fma.f64 b (+.f64 b (*.f64 (*.f64 a -3) b)) (fma.f64 a a (pow.f64 a 3))) 3) 64)) (/.f64 1 (+.f64 (pow.f64 b 8) (*.f64 (*.f64 4 (fma.f64 b (+.f64 b (*.f64 (*.f64 a -3) b)) (fma.f64 a a (pow.f64 a 3)))) (-.f64 (*.f64 4 (fma.f64 b (+.f64 b (*.f64 (*.f64 a -3) b)) (fma.f64 a a (pow.f64 a 3)))) (pow.f64 b 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 b 8) (*.f64 (pow.f64 (fma.f64 b (+.f64 b (*.f64 (*.f64 a -3) b)) (fma.f64 a a (pow.f64 a 3))) 2) 16)) (/.f64 1 (-.f64 (pow.f64 b 4) (*.f64 4 (fma.f64 b (+.f64 b (*.f64 (*.f64 a -3) b)) (fma.f64 a a (pow.f64 a 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 b 8) (*.f64 (*.f64 4 (fma.f64 b (+.f64 b (*.f64 (*.f64 a -3) b)) (fma.f64 a a (pow.f64 a 3)))) (-.f64 (*.f64 4 (fma.f64 b (+.f64 b (*.f64 (*.f64 a -3) b)) (fma.f64 a a (pow.f64 a 3)))) (pow.f64 b 4)))) (+.f64 (pow.f64 b 12) (*.f64 (pow.f64 (fma.f64 b (+.f64 b (*.f64 (*.f64 a -3) b)) (fma.f64 a a (pow.f64 a 3))) 3) 64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (pow.f64 b 4) (*.f64 4 (fma.f64 b (+.f64 b (*.f64 (*.f64 a -3) b)) (fma.f64 a a (pow.f64 a 3))))) (-.f64 (pow.f64 b 8) (*.f64 (pow.f64 (fma.f64 b (+.f64 b (*.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 a -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (*.f64 a -3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (*.f64 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (*.f64 a -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (*.f64 a -3))) (cbrt.f64 (pow.f64 (+.f64 1 (*.f64 a -3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 (*.f64 a -3)) 2)) (cbrt.f64 (+.f64 1 (*.f64 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (sqrt.f64 (*.f64 a -3))) (hypot.f64 1 (sqrt.f64 (*.f64 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 27 (pow.f64 a 3))) (/.f64 1 (+.f64 1 (+.f64 (*.f64 a 3) (*.f64 (*.f64 a a) 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 (*.f64 a a) 9)) (/.f64 1 (+.f64 1 (*.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (*.f64 a 3) (*.f64 (*.f64 a a) 9))) (-.f64 1 (*.f64 27 (pow.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 a 3)) (-.f64 1 (*.f64 (*.f64 a a) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 27 (pow.f64 a 3))) (+.f64 1 (+.f64 (*.f64 a 3) (*.f64 (*.f64 a a) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (*.f64 a a) 9)) (+.f64 1 (*.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (*.f64 27 (pow.f64 a 3)))) (neg.f64 (+.f64 1 (+.f64 (*.f64 a 3) (*.f64 (*.f64 a a) 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (*.f64 (*.f64 a a) 9))) (neg.f64 (+.f64 1 (*.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (*.f64 a -3) 3)) (+.f64 1 (fma.f64 (*.f64 a -3) (*.f64 a -3) (neg.f64 (*.f64 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (*.f64 a -3) (*.f64 a -3))) (-.f64 1 (*.f64 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (*.f64 a -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (*.f64 a -3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (*.f64 a -3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (sqrt.f64 (*.f64 a -3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (*.f64 a -3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (*.f64 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (*.f64 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (*.f64 a -3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (*.f64 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (*.f64 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 a -3)) 1))))))

simplify76.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

554×	`associate-l_binary64`
450×	`distribute-rgt-out_binary64`
448×	`associate-+l-_binary64`
413×	`associate-r_binary64`
385×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	579
1	138	522
2	398	493
3	1406	493
4	3383	493
5	5614	493

Stop Event

1×	node limit

Counts

109 → 99

Calls

Call 1

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

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

eval370.0ms (3.3%)

Compiler: Compiled 19537 to 12009 computations (38.5% saved)

prune118.0ms (1.1%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	770	8	778
Fresh	1	3	4
Picked	1	0	1
Done	3	2	5
Total	775	13	788

Error

Counts

788 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.5b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b))) 1)
▶	24.3b	(-.f64 (.f64 a (.f64 -12 (*.f64 b b))) 1)
	1.7b	(-.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)
▶	12.7b	(-.f64 (.f64 b (.f64 b (fma.f64 b b 4))) 1)
✓	12.0b	(-.f64 (.f64 (.f64 a a) (+.f64 (.f64 a (+.f64 a 4)) (fma.f64 b (.f64 b 2) 4))) 1)
	24.1b	(-.f64 (.f64 (.f64 a a) (.f64 2 (.f64 b b))) 1)
	14.1b	(-.f64 (pow.f64 b 4) 1)
	12.4b	(-.f64 (.f64 b (.f64 b (+.f64 (fma.f64 b b 4) (.f64 a (+.f64 -12 (.f64 a 2)))))) 1)
	12.0b	(-.f64 (.f64 a (.f64 a (fma.f64 a (+.f64 4 a) 4))) 1)
	12.0b	(-.f64 (.f64 (.f64 a a) (+.f64 (*.f64 (+.f64 4 a) a) 4)) 1)
▶	13.2b	(-.f64 (pow.f64 a 4) 1)
▶	12.8b	(-.f64 (.f64 (.f64 b b) (+.f64 4 (*.f64 b b))) 1)
✓	0.2b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))) 1)

Compiler

Compiled 377 to 257 computations (31.8% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 a a) (.f64 b b))
✓	0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
✓	0.0b	(.f64 4 (.f64 b b))
	0.4b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

Compiler

Compiled 66 to 24 computations (63.6% saved)

series5.0ms (0%)

Counts

3 → 60

Calls

15 calls:

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

rewrite75.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

514×	`log-prod_binary64`
459×	`fma-def_binary64`
383×	`pow-prod-down_binary64`
292×	`pow2_binary64`
214×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	35
1	243	30
2	3204	28

Stop Event

1×	node limit

Counts

3 → 145

Calls

Call 1

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

Outputs

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

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simplify113.0ms (1%)

Algorithm

1×	egg-herbie

Rules

619×	`distribute-rgt-in_binary64`
597×	`associate-+l+_binary64`
590×	`associate-+r+_binary64`
578×	`distribute-lft-in_binary64`
431×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	807
1	76	677
2	199	653
3	585	653
4	1966	653
5	3095	653
6	3281	653
7	3518	653
8	3971	653
9	4835	653
10	6537	653

Stop Event

1×	node limit

Counts

205 → 168

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 -12 (.f64 b b))
✓	0.8b	(.f64 a (.f64 -12 (*.f64 b b)))

Compiler

Compiled 30 to 15 computations (50% saved)

series4.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite56.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

644×	`pow1_binary64`
596×	`add-log-exp_binary64`
596×	`log1p-expm1-u_binary64`
596×	`expm1-log1p-u_binary64`
583×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	143	17
2	1674	17

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

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

Outputs

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

simplify183.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

2020×	`unswap-sqr_binary64`
1080×	`sqr-pow_binary64`
635×	`fabs-mul_binary64`
612×	`pow-sqr_binary64`
610×	`cube-prod_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	324
1	19	324
2	41	324
3	91	324
4	256	324
5	843	324
6	1070	324
7	1484	324
8	1584	324
9	1717	324
10	1889	324
11	2132	324
12	2445	324
13	2815	324
14	3269	324
15	3858	324
16	4566	324
17	5422	324
18	5846	324
19	6160	324
20	6468	324
21	6550	324
22	6586	324

Stop Event

1×	node limit

Counts

58 → 26

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 33 to 15 computations (54.5% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite57.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

Outputs

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

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

simplify187.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	186
1	20	168
2	41	168
3	96	168
4	265	168
5	921	168
6	1859	168
7	2154	168
8	2339	168
9	2540	168
10	2816	168
11	3178	168
12	3634	168
13	4170	168
14	4802	168
15	5555	168
16	5866	168
17	6090	168
18	6286	168
19	6340	168
20	6362	168
21	7196	168

Stop Event

1×	node limit

Counts

78 → 64

Calls

Call 1

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

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

localize6.0ms (0.1%)

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

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 33 to 19 computations (42.4% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite51.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

553×	`pow1_binary64`
512×	`add-log-exp_binary64`
512×	`log1p-expm1-u_binary64`
512×	`expm1-log1p-u_binary64`
502×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	19
1	122	19
2	1405	19

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

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

Outputs

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

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

simplify174.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	198
1	32	198
2	62	198
3	125	198
4	382	198
5	1797	198
6	2737	198
7	3140	198
8	3401	198
9	3712	198
10	4123	198
11	4716	198
12	5365	198
13	6139	198
14	6522	198
15	6856	198
16	7130	198
17	7302	198
18	7390	198

Stop Event

1×	node limit

Counts

50 → 36

Calls

Call 1

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

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

eval183.0ms (1.7%)

Compiler: Compiled 5933 to 3619 computations (39% saved)

prune106.0ms (1%)

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	328	5	333
Fresh	1	5	6
Picked	0	1	1
Done	1	5	6
Total	330	16	346

Error

Counts

346 → 16

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.7b	(-.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)
▶	14.1b	(-.f64 (*.f64 b (pow.f64 b 3)) 1)
✓	12.7b	(-.f64 (.f64 b (.f64 b (fma.f64 b b 4))) 1)
▶	14.2b	(-.f64 (.f64 (.f64 b b) (*.f64 b b)) 1)
✓	13.2b	(-.f64 (pow.f64 a 4) 1)
	24.3b	(-.f64 (.f64 a (.f64 b (*.f64 -12 b))) 1)
✓	0.2b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))) 1)
▶	23.1b	(-.f64 (.f64 (.f64 b b) 4) 1)
✓	12.0b	(-.f64 (.f64 (.f64 a a) (+.f64 (.f64 a (+.f64 a 4)) (fma.f64 b (.f64 b 2) 4))) 1)
✓	1.5b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b))) 1)
	24.1b	(-.f64 (.f64 (.f64 a a) (.f64 2 (.f64 b b))) 1)
	14.1b	(-.f64 (pow.f64 b 4) 1)
	12.4b	(-.f64 (.f64 b (.f64 b (+.f64 (fma.f64 b b 4) (.f64 a (+.f64 -12 (.f64 a 2)))))) 1)
	12.0b	(-.f64 (.f64 a (.f64 a (fma.f64 a (+.f64 4 a) 4))) 1)
▶	12.0b	(-.f64 (.f64 (.f64 a a) (+.f64 (*.f64 (+.f64 4 a) a) 4)) 1)
✓	12.8b	(-.f64 (.f64 (.f64 b b) (+.f64 4 (*.f64 b b))) 1)

Compiler

Compiled 384 to 263 computations (31.5% saved)

localize57.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (.f64 a -3)))))
	0.1b	(.f64 (.f64 a a) (+.f64 1 a))
	0.4b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
✓	0.9b	(.f64 (.f64 b b) (*.f64 a -3))

Compiler

Compiled 138 to 63 computations (54.3% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite85.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

512×	`fma-neg_binary64`
333×	`expm1-udef_binary64`
333×	`log1p-udef_binary64`
205×	`add-sqr-sqrt_binary64`
200×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	46
1	411	41
2	5885	41

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

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

Outputs

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

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

simplify137.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1044×	`distribute-rgt-out_binary64`
702×	`distribute-lft-out_binary64`
549×	`associate-r_binary64`
537×	`distribute-rgt-in_binary64`
463×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	45	827
1	136	813
2	382	759
3	1622	757
4	3955	757
5	5740	757
6	6633	757
7	6780	757
8	6976	757
9	7236	757

Stop Event

1×	node limit

Counts

104 → 80

Calls

Call 1

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 11 computations (45% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite60.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

421×	`pow1_binary64`
407×	`add-sqr-sqrt_binary64`
400×	`*-un-lft-identity_binary64`
391×	`add-log-exp_binary64`
391×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	102	7
2	1126	7

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

Inputs
(.f64 (.f64 b b) 4)

Outputs

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

simplify169.0ms (1.5%)

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

27 → 17

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 23 to 7 computations (69.6% saved)

series4.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	b	@	-inf	(.f64 (.f64 b b) (*.f64 b b))
1.0ms	b	@	0	(.f64 (.f64 b b) (*.f64 b b))
0.0ms	b	@	inf	(.f64 (.f64 b b) (*.f64 b b))

rewrite50.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

simplify191.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

44 → 32

Calls

Call 1

Inputs
(pow.f64 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)

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)

localize17.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 47 to 29 computations (38.3% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite72.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

461×	`log-prod_binary64`
407×	`prod-diff_binary64`
354×	`pow-prod-down_binary64`
330×	`exp-prod_binary64`
295×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	189	21
2	2687	21

Stop Event

1×	node limit

Counts

2 → 108

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a a) (*.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a 4) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 a (+.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (+.f64 a 4))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (+.f64 a 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (+.f64 a 4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (+.f64 a 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a (+.f64 a 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 64 (pow.f64 a 3)) a) (fma.f64 a (-.f64 a 4) 16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 16 (*.f64 a a)) a) (-.f64 4 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (+.f64 64 (pow.f64 a 3))) (fma.f64 a (-.f64 a 4) 16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (-.f64 16 (*.f64 a a))) (-.f64 4 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (+.f64 a 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (+.f64 a 4)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (+.f64 a 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 a (sqrt.f64 (*.f64 a 4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (+.f64 a 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 a (+.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 a (+.f64 a 4)))) 2)) (cbrt.f64 (log.f64 (*.f64 a (+.f64 a 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 a (+.f64 a 4))))) (sqrt.f64 (log.f64 (*.f64 a (+.f64 a 4)))))))) (#(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))) (pow.f64 (exp.f64 a) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 a) 4) (+.f64 1 (expm1.f64 (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (+.f64 a 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (+.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (+.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (+.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (+.f64 a 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 a (+.f64 a 4)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 a (sqrt.f64 (*.f64 a 4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 a (+.f64 a 4)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 a (+.f64 a 4))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 a (+.f64 a 4))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a a (*.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a 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 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 4) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) a) (*.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 a) a) (pow.f64 (cbrt.f64 a) 2) (*.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (pow.f64 a 3/2) (*.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a 3/2) (sqrt.f64 a) (*.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 a 4)) 2) (cbrt.f64 (*.f64 a 4)) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 a 4)) (sqrt.f64 (*.f64 a 4)) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (sqrt.f64 a)) (sqrt.f64 a) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 5) (cbrt.f64 a) (*.f64 a 4))))))

simplify136.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

803×	`unswap-sqr_binary64`
630×	`sqr-pow_binary64`
607×	`fma-def_binary64`
531×	`*-commutative_binary64`
471×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	15	242
1	43	213
2	98	211
3	260	211
4	948	205
5	2208	205
6	3665	205
7	3803	205
8	4018	205
9	4315	205
10	4966	205
11	6136	205
12	6627	205
13	7186	205
14	7878	205

Stop Event

1×	node limit

Counts

132 → 122

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 b (pow.f64 b 3))

Compiler

Compiled 20 to 14 computations (30% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite44.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

419×	`pow1_binary64`
408×	`add-sqr-sqrt_binary64`
396×	`*-un-lft-identity_binary64`
393×	`add-log-exp_binary64`
393×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	108	4
2	1149	4

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

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

Outputs

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

simplify190.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

27 → 15

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)

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)

eval154.0ms (1.4%)

Compiler: Compiled 7791 to 4920 computations (36.9% saved)

prune59.0ms (0.5%)

Pruning

19 alts after pruning (8 fresh and 11 done)

	Pruned	Kept	Total
New	329	7	336
Fresh	4	1	5
Picked	0	1	1
Done	0	10	10
Total	333	19	352

Error

Counts

352 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	12.1b	(-.f64 (.f64 (.f64 a a) (+.f64 (/.f64 (.f64 (-.f64 16 (.f64 a a)) a) (-.f64 4 a)) 4)) 1)
✓	23.1b	(-.f64 (.f64 (.f64 b b) 4) 1)
	23.4b	(-.f64 (.f64 4 (.f64 a a)) 1)
	14.1b	(-.f64 (pow.f64 b 4) 1)
✓	12.0b	(-.f64 (.f64 (.f64 a a) (+.f64 (.f64 a (+.f64 a 4)) (fma.f64 b (.f64 b 2) 4))) 1)
✓	1.7b	(-.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)
✓	14.1b	(-.f64 (*.f64 b (pow.f64 b 3)) 1)
✓	12.7b	(-.f64 (.f64 b (.f64 b (fma.f64 b b 4))) 1)
	12.0b	(-.f64 (.f64 a (.f64 a (fma.f64 a (+.f64 4 a) 4))) 1)
✓	13.2b	(-.f64 (pow.f64 a 4) 1)
✓	14.2b	(-.f64 (.f64 (.f64 b b) (*.f64 b b)) 1)
✓	1.5b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b))) 1)
	12.0b	(-.f64 (+.f64 (.f64 (+.f64 a 4) (pow.f64 a 3)) (.f64 a (*.f64 a 4))) 1)
	13.0b	(-.f64 (.f64 (.f64 a a) (+.f64 (*.f64 a a) 4)) 1)
	12.4b	(-.f64 (.f64 b (.f64 b (+.f64 (fma.f64 b b 4) (.f64 a (+.f64 -12 (.f64 a 2)))))) 1)
	23.7b	(-.f64 (.f64 (.f64 a a) (+.f64 (*.f64 4 a) 4)) 1)
✓	12.0b	(-.f64 (.f64 (.f64 a a) (+.f64 (*.f64 (+.f64 4 a) a) 4)) 1)
✓	12.8b	(-.f64 (.f64 (.f64 b b) (+.f64 4 (*.f64 b b))) 1)
✓	0.2b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))) 1)

Compiler

Compiled 293 to 201 computations (31.4% saved)

regimes153.0ms (1.4%)

Counts

31 → 1

Calls

Call 1

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

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

Calls

6 calls:

45.0ms	(-.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 1 (.f64 3 a)))))) 1)
39.0ms	(*.f64 b b)
16.0ms	a
16.0ms	b
15.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))))))

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 1 (.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 1 (.f64 3 a))))))`
0.0b	1	`(*.f64 b b)`
0.0b	1	`(*.f64 b b)`

Compiler

Compiled 509 to 305 computations (40.1% saved)

regimes176.0ms (1.6%)

Counts

30 → 1

Calls

Call 1

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

Calls

5 calls:

42.0ms	(*.f64 b b)
16.0ms	a
15.0ms	b
11.0ms	(+.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 1 (.f64 3 a))))))
7.0ms	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.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 1 (.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 1 (.f64 3 a))))))`
0.2b	1	`(*.f64 b b)`

Compiler

Compiled 481 to 287 computations (40.3% saved)

regimes49.0ms (0.4%)

Counts

29 → 1

Calls

Call 1

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

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

Calls

3 calls:

15.0ms	a
15.0ms	b
8.0ms	(*.f64 b b)

Results

Error	Segments	Branch
0.3b	1	`a`
0.3b	1	`b`
0.3b	1	`(*.f64 b b)`

Compiler

Compiled 386 to 231 computations (40.2% saved)

regimes360.0ms (3.2%)

Counts

27 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

258.0ms	b
58.0ms	(*.f64 b b)
33.0ms	a

Results

Error	Segments	Branch
1.5b	1	`a`
0.3b	3	`b`
0.3b	2	`(*.f64 b b)`

Compiler

Compiled 332 to 206 computations (38% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.5719862829638217e-6	0.02771761416324701

Compiler

Compiled 36 to 25 computations (30.6% saved)

regimes205.0ms (1.8%)

Counts

25 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

124.0ms	b
38.0ms	a
29.0ms	(*.f64 b b)

Results

Error	Segments	Branch
1.5b	1	`a`
0.4b	3	`b`
0.4b	2	`(*.f64 b b)`

Compiler

Compiled 282 to 174 computations (38.3% saved)

bsearch124.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
58.0ms	5.418831445042127e-55	9.15141621522741e-52
65.0ms	-2.44526059309143e-101	-6.777721622958239e-105

Compiler

Compiled 38 to 25 computations (34.2% saved)

regimes258.0ms (2.3%)

Counts

22 → 2

Calls

Call 1

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

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

Calls

4 calls:

115.0ms	b
76.0ms	a
27.0ms	(*.f64 b b)
26.0ms	(*.f64 b b)

Results

Error	Segments	Branch
2.6b	3	`a`
1.8b	3	`b`
1.8b	2	`(*.f64 b b)`
1.8b	2	`(*.f64 b b)`

Compiler

Compiled 234 to 146 computations (37.6% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.402130933554851e-40	6.161316707498184e-38

Compiler

Compiled 36 to 25 computations (30.6% saved)

regimes107.0ms (1%)

Counts

21 → 2

Calls

Call 1

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

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

Calls

4 calls:

38.0ms	b
28.0ms	a
19.0ms	(*.f64 b b)
10.0ms	(*.f64 b b)

Results

Error	Segments	Branch
2.6b	3	`a`
1.8b	3	`b`
1.8b	2	`(*.f64 b b)`
1.8b	2	`(*.f64 b b)`

Compiler

Compiled 219 to 135 computations (38.4% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.402130933554851e-40	6.161316707498184e-38

Compiler

Compiled 36 to 25 computations (30.6% saved)

regimes134.0ms (1.2%)

Counts

18 → 2

Calls

Call 1

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

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

Calls

4 calls:

85.0ms	b
26.0ms	a
9.0ms	(*.f64 b b)
9.0ms	(*.f64 b b)

Results

Error	Segments	Branch
2.6b	3	`a`
1.8b	3	`b`
1.8b	2	`(*.f64 b b)`
1.8b	2	`(*.f64 b b)`

Compiler

Compiled 181 to 111 computations (38.7% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.402130933554851e-40	6.161316707498184e-38

Compiler

Compiled 36 to 25 computations (30.6% saved)

regimes114.0ms (1%)

Counts

17 → 2

Calls

Call 1

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

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

Calls

3 calls:

72.0ms	b
27.0ms	a
10.0ms	(*.f64 b b)

Results

Error	Segments	Branch
2.7b	3	`a`
1.9b	3	`b`
1.9b	2	`(*.f64 b b)`

Compiler

Compiled 166 to 102 computations (38.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.402130933554851e-40	6.161316707498184e-38

Compiler

Compiled 36 to 25 computations (30.6% saved)

regimes74.0ms (0.7%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

3 calls:

40.0ms	a
23.0ms	b
9.0ms	(*.f64 b b)

Results

Error	Segments	Branch
3.2b	3	`a`
2.7b	3	`b`
2.7b	2	`(*.f64 b b)`

Compiler

Compiled 98 to 55 computations (43.9% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.402130933554851e-40	6.161316707498184e-38

Compiler

Compiled 36 to 25 computations (30.6% saved)

regimes203.0ms (1.8%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

3 calls:

174.0ms	b
20.0ms	a
6.0ms	(*.f64 b b)

Results

Error	Segments	Branch
4.7b	3	`a`
3.7b	3	`b`
3.9b	2	`(*.f64 b b)`

Compiler

Compiled 87 to 50 computations (42.5% saved)

bsearch59.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
29.0ms	183102543.74094033	1501377450.0943692
30.0ms	-8.10029598800976	-7.78037838864192

Compiler

Compiled 38 to 25 computations (34.2% saved)

regimes16.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	a
5.0ms	b
4.0ms	(*.f64 b b)

Results

Error	Segments	Branch
14.2b	1	`a`
14.2b	1	`b`
14.2b	1	`(*.f64 b b)`

Compiler

Compiled 54 to 33 computations (38.9% saved)

regimes11.0ms (0.1%)

Accuracy

Total -1.2b remaining (-5%)

Threshold costs -1.2b (-5%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(-.f64 (.f64 (.f64 b b) 4) 1)

Calls

3 calls:

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

Results

Error	Segments	Branch
23.1b	1	`a`
23.1b	1	`b`
23.1b	1	`(*.f64 b b)`

Compiler

Compiled 27 to 19 computations (29.6% saved)

simplify57.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

30×	`+-commutative_binary64`
21×	`*-commutative_binary64`
16×	`sub-neg_binary64`
2×	`distribute-lft-neg-in_binary64`
2×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	569
1	150	569
2	171	569
3	175	569
4	178	569
5	179	569

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a a (fma.f64 b (*.f64 b (fma.f64 a -3 1)) (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 1 (.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 b b)))) 1)
(if (<=.f64 (.f64 b b) 5902958103587057/1180591620717411303424) (-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))) 1) (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (*.f64 b b))) 1))
(if (<=.f64 b -7707853843263021/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528) (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b))) 1) (if (<=.f64 b 3739940012969333/6901746346790563787434755862277025452451108972170386555162524223799296) (-.f64 (+.f64 (.f64 (+.f64 a 4) (pow.f64 a 3)) (.f64 a (.f64 a 4))) 1) (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (*.f64 b b))) 1)))
(if (<=.f64 (.f64 b b) 6277101735386680320/6277101735386680763835789423207666416102355444464034512896) (-.f64 (+.f64 (.f64 (+.f64 a 4) (pow.f64 a 3)) (.f64 a (.f64 a 4))) 1) (-.f64 (.f64 b (.f64 b (fma.f64 b b 4))) 1))
(if (<=.f64 (.f64 b b) 6277101735386680320/6277101735386680763835789423207666416102355444464034512896) (-.f64 (.f64 a (.f64 a (fma.f64 a (+.f64 4 a) 4))) 1) (-.f64 (.f64 b (*.f64 b (fma.f64 b b 4))) 1))
(if (<=.f64 (.f64 b b) 6277101735386680320/6277101735386680763835789423207666416102355444464034512896) (-.f64 (.f64 (.f64 a a) (+.f64 (.f64 (+.f64 4 a) a) 4)) 1) (-.f64 (.f64 b (.f64 b (fma.f64 b b 4))) 1))
(if (<=.f64 (.f64 b b) 6277101735386680320/6277101735386680763835789423207666416102355444464034512896) (-.f64 (.f64 (.f64 a a) (+.f64 (.f64 (+.f64 4 a) a) 4)) 1) (-.f64 (.f64 (.f64 b b) (+.f64 4 (*.f64 b b))) 1))
(if (<=.f64 (.f64 b b) 6277101735386680320/6277101735386680763835789423207666416102355444464034512896) (-.f64 (.f64 (.f64 a a) (+.f64 (.f64 a a) 4)) 1) (-.f64 (.f64 (.f64 b b) (+.f64 4 (*.f64 b b))) 1))
(if (<=.f64 b -4560061249148935/562949953421312) (-.f64 (.f64 (.f64 b b) (.f64 b b)) 1) (if (<=.f64 b 786419437181748224/4294967296) (-.f64 (.f64 (.f64 a a) (+.f64 (.f64 a a) 4)) 1) (-.f64 (.f64 (.f64 b b) (*.f64 b b)) 1)))
(-.f64 (.f64 (.f64 b b) (*.f64 b b)) 1)
(-.f64 (.f64 (.f64 b b) 4) 1)
(-.f64 (.f64 4 (.f64 a a)) 1)

Outputs
(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a a (fma.f64 b (*.f64 b (fma.f64 a -3 1)) (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 1 (.f64 3 a)))))) 1)
(+.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 a 1)) (.f64 (.f64 b b) (-.f64 1 (.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 a 1)) (.f64 (.f64 b b) (-.f64 1 (.f64 a 3)))))))
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 b b)))) 1)
(+.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 b b) (.f64 (.f64 a a) (+.f64 a 1))))) -1)
(+.f64 -1 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 b b) (.f64 (.f64 a a) (+.f64 a 1))))))
(if (<=.f64 (.f64 b b) 5902958103587057/1180591620717411303424) (-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))) 1) (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (*.f64 b b))) 1))
(if (<=.f64 (.f64 b b) 5902958103587057/1180591620717411303424) (+.f64 (+.f64 (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 a 1)) (.f64 (.f64 b b) (-.f64 1 (.f64 a 3))))) (pow.f64 a 4)) -1) (+.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (*.f64 b b))) -1))
(if (<=.f64 (.f64 b b) 5902958103587057/1180591620717411303424) (+.f64 -1 (+.f64 (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 a 1)) (.f64 (.f64 b b) (-.f64 1 (.f64 a 3))))) (pow.f64 a 4))) (+.f64 -1 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (*.f64 b b)))))
(if (<=.f64 b -7707853843263021/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528) (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b))) 1) (if (<=.f64 b 3739940012969333/6901746346790563787434755862277025452451108972170386555162524223799296) (-.f64 (+.f64 (.f64 (+.f64 a 4) (pow.f64 a 3)) (.f64 a (.f64 a 4))) 1) (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (*.f64 b b))) 1)))
(if (<=.f64 b -7707853843263021/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528) (+.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b))) -1) (if (<=.f64 b 3739940012969333/6901746346790563787434755862277025452451108972170386555162524223799296) (+.f64 (+.f64 (.f64 (pow.f64 a 3) (+.f64 a 4)) (.f64 a (.f64 a 4))) -1) (+.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (*.f64 b b))) -1)))
(if (<=.f64 b -7707853843263021/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528) (+.f64 -1 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))) (if (<=.f64 b 3739940012969333/6901746346790563787434755862277025452451108972170386555162524223799296) (+.f64 -1 (+.f64 (.f64 (pow.f64 a 3) (+.f64 a 4)) (.f64 a (.f64 a 4)))) (+.f64 -1 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (*.f64 b b))))))
(if (<=.f64 (.f64 b b) 6277101735386680320/6277101735386680763835789423207666416102355444464034512896) (-.f64 (+.f64 (.f64 (+.f64 a 4) (pow.f64 a 3)) (.f64 a (.f64 a 4))) 1) (-.f64 (.f64 b (.f64 b (fma.f64 b b 4))) 1))
(if (<=.f64 (.f64 b b) 6129982163463555/6129982163463555433433388108601236734474956488734408704) (+.f64 (+.f64 (.f64 (pow.f64 a 3) (+.f64 a 4)) (.f64 a (.f64 a 4))) -1) (+.f64 (.f64 b (.f64 b (fma.f64 b b 4))) -1))
(if (<=.f64 (.f64 b b) 6129982163463555/6129982163463555433433388108601236734474956488734408704) (+.f64 -1 (+.f64 (.f64 (pow.f64 a 3) (+.f64 a 4)) (.f64 a (.f64 a 4)))) (+.f64 -1 (.f64 b (.f64 b (fma.f64 b b 4)))))
(if (<=.f64 (.f64 b b) 6277101735386680320/6277101735386680763835789423207666416102355444464034512896) (-.f64 (.f64 a (.f64 a (fma.f64 a (+.f64 4 a) 4))) 1) (-.f64 (.f64 b (*.f64 b (fma.f64 b b 4))) 1))
(if (<=.f64 (.f64 b b) 6129982163463555/6129982163463555433433388108601236734474956488734408704) (+.f64 (.f64 a (.f64 a (fma.f64 a (+.f64 a 4) 4))) -1) (+.f64 (.f64 b (*.f64 b (fma.f64 b b 4))) -1))
(if (<=.f64 (.f64 b b) 6129982163463555/6129982163463555433433388108601236734474956488734408704) (+.f64 -1 (.f64 a (.f64 a (fma.f64 a (+.f64 a 4) 4)))) (+.f64 -1 (.f64 b (*.f64 b (fma.f64 b b 4)))))
(if (<=.f64 (.f64 b b) 6277101735386680320/6277101735386680763835789423207666416102355444464034512896) (-.f64 (.f64 (.f64 a a) (+.f64 (.f64 (+.f64 4 a) a) 4)) 1) (-.f64 (.f64 b (.f64 b (fma.f64 b b 4))) 1))
(if (<=.f64 (.f64 b b) 6129982163463555/6129982163463555433433388108601236734474956488734408704) (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a 4)))) -1) (+.f64 (.f64 b (.f64 b (fma.f64 b b 4))) -1))
(if (<=.f64 (.f64 b b) 6129982163463555/6129982163463555433433388108601236734474956488734408704) (+.f64 -1 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a 4))))) (+.f64 -1 (.f64 b (.f64 b (fma.f64 b b 4)))))
(if (<=.f64 (.f64 b b) 6277101735386680320/6277101735386680763835789423207666416102355444464034512896) (-.f64 (.f64 (.f64 a a) (+.f64 (.f64 (+.f64 4 a) a) 4)) 1) (-.f64 (.f64 (.f64 b b) (+.f64 4 (*.f64 b b))) 1))
(if (<=.f64 (.f64 b b) 6129982163463555/6129982163463555433433388108601236734474956488734408704) (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a 4)))) -1) (+.f64 (.f64 (.f64 b b) (+.f64 4 (*.f64 b b))) -1))
(if (<=.f64 (.f64 b b) 6129982163463555/6129982163463555433433388108601236734474956488734408704) (+.f64 -1 (.f64 (.f64 a a) (+.f64 4 (.f64 a (+.f64 a 4))))) (+.f64 -1 (.f64 (.f64 b b) (+.f64 4 (*.f64 b b)))))
(if (<=.f64 (.f64 b b) 6277101735386680320/6277101735386680763835789423207666416102355444464034512896) (-.f64 (.f64 (.f64 a a) (+.f64 (.f64 a a) 4)) 1) (-.f64 (.f64 (.f64 b b) (+.f64 4 (*.f64 b b))) 1))
(if (<=.f64 (.f64 b b) 6129982163463555/6129982163463555433433388108601236734474956488734408704) (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a a))) -1) (+.f64 (.f64 (.f64 b b) (+.f64 4 (*.f64 b b))) -1))
(if (<=.f64 (.f64 b b) 6129982163463555/6129982163463555433433388108601236734474956488734408704) (+.f64 -1 (.f64 (.f64 a a) (+.f64 4 (.f64 a a)))) (+.f64 -1 (.f64 (.f64 b b) (+.f64 4 (*.f64 b b)))))
(if (<=.f64 b -4560061249148935/562949953421312) (-.f64 (.f64 (.f64 b b) (.f64 b b)) 1) (if (<=.f64 b 786419437181748224/4294967296) (-.f64 (.f64 (.f64 a a) (+.f64 (.f64 a a) 4)) 1) (-.f64 (.f64 (.f64 b b) (*.f64 b b)) 1)))
(if (<=.f64 b -4560061249148935/562949953421312) (+.f64 (.f64 (.f64 b b) (.f64 b b)) -1) (if (<=.f64 b 767987731622801/4194304) (+.f64 (.f64 (.f64 a a) (+.f64 4 (.f64 a a))) -1) (+.f64 (.f64 (.f64 b b) (*.f64 b b)) -1)))
(if (<=.f64 b -4560061249148935/562949953421312) (+.f64 -1 (.f64 (.f64 b b) (.f64 b b))) (if (<=.f64 b 767987731622801/4194304) (+.f64 -1 (.f64 (.f64 a a) (+.f64 4 (.f64 a a)))) (+.f64 -1 (.f64 (.f64 b b) (*.f64 b b)))))
(-.f64 (.f64 (.f64 b b) (*.f64 b b)) 1)
(+.f64 (.f64 (.f64 b b) (*.f64 b b)) -1)
(+.f64 -1 (.f64 (.f64 b b) (*.f64 b b)))
(-.f64 (.f64 (.f64 b b) 4) 1)
(+.f64 (.f64 4 (.f64 b b)) -1)
(+.f64 -1 (.f64 4 (.f64 b b)))
(-.f64 (.f64 4 (.f64 a a)) 1)
(+.f64 (.f64 4 (.f64 a a)) -1)
(+.f64 -1 (.f64 4 (.f64 a a)))

Compiler

Compiled 418 to 262 computations (37.3% saved)

soundness317.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

691×	`fma-def_binary64`
669×	`unsub-neg_binary64`
596×	`cancel-sign-sub-inv_binary64`
431×	`distribute-rgt-in_binary64`
315×	`+-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	20	42
1	63	40
2	193	36
3	724	36
4	2835	32
5	4848	32

Stop Event

1×	node limit

Compiler

Compiled 1119 to 683 computations (39% saved)

end239.0ms (2.1%)

Compiler: Compiled 392 to 213 computations (45.7% saved)